BABYL OPTIONS: -*- rmail -*- Version: 5 Labels: Note: This is the header of an rmail file. Note: If you are seeing it in rmail, Note: it means the file has no messages in it.  1,, Summary-line: 9-Feb dmjones@theory.lcs.mit.ed [25] #Re: students-by-section Mail-from: From dmjones@theory.lcs.mit.edu Mon Feb 9 07:57:04 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24902; Mon, 09 Feb 98 12:57:41 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA26465; Mon, 09 Feb 98 12:57:04 EST Date: Mon, 09 Feb 98 12:57:04 EST Message-Id: <199802091757.AA26465@sandpiper.lcs.mit.edu> From: "David M. Jones" To: meyer@theory.lcs.mit.edu Cc: jones, etara, 6042-staff In-Reply-To: <199802061615.AA08791@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: students-by-section *** EOOH *** Date: Mon, 09 Feb 98 12:57:04 EST From: "David M. Jones" To: meyer@theory.lcs.mit.edu Cc: jones, etara, 6042-staff In-Reply-To: <199802061615.AA08791@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: students-by-section Done. Two students -- Dominic J. D'Aleo and Michael Li -- requested no listings, so I commented them out. > Date: Fri, 06 Feb 98 11:15:05 EST > From: "Albert R. Meyer" > Cc: etara, 6042-staff > > Please finish turning > /b/meyer/devel-6042/pub-dir/sections/students-by-section.html > into a decent format. Leave o-r protection in place until TARA confirms > there are no students requesting "No Listing" of their email addresses. > > Thanks, A.  1,, Summary-line: 9-Feb dmjones@theory.lcs.mit.ed [29] #Re: 6.042 mailing list Mail-from: From dmjones@theory.lcs.mit.edu Mon Feb 9 08:03:17 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25000; Mon, 09 Feb 98 13:03:54 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA26473; Mon, 09 Feb 98 13:03:17 EST Date: Mon, 09 Feb 98 13:03:17 EST Message-Id: <199802091803.AA26473@sandpiper.lcs.mit.edu> From: "David M. Jones" To: etara@MIT.EDU Cc: 6042-staff In-Reply-To: <199802091757.MAA21102@m37-312-37.MIT.EDU> (message from Tara B Schenkel on Mon, 09 Feb 1998 12:57:23 EST) Subject: Re: 6.042 mailing list *** EOOH *** Date: Mon, 09 Feb 98 13:03:17 EST From: "David M. Jones" To: etara@MIT.EDU Cc: 6042-staff In-Reply-To: <199802091757.MAA21102@m37-312-37.MIT.EDU> (message from Tara B Schenkel on Mon, 09 Feb 1998 12:57:23 EST) Subject: Re: 6.042 mailing list > Date: Mon, 09 Feb 1998 12:57:23 EST > From: Tara B Schenkel > > thanks. > > so if i change > /a/class/6.042/spring98/mailing-lists/6042-students > that changes who mail to 6042-students@theory.lcs.mit.edu > gets sent to? Yes. Incidentally, all mail sent to 6042-students is automatically archived in /a/class/6.042/spring98/mailing-lists/6042-students-archive which you and everyone else on the staff should be able to read. David.  1,, Summary-line: 9-Feb MAILER-DAEMON@theory.lcs. [32] #Returned mail: Can't create output Mail-from: From MAILER-DAEMON@theory.lcs.mit.edu Mon Feb 9 23:08:13 1998 Date: Mon, 09 Feb 98 23:08:09 EST From: MAILER-DAEMON@theory.lcs.mit.edu (Mail Delivery Subsystem) Subject: Returned mail: Can't create output To: meyer *** EOOH *** Date: Mon, 09 Feb 98 23:08:09 EST From: MAILER-DAEMON@theory.lcs.mit.edu (Mail Delivery Subsystem) Subject: Returned mail: Can't create output To: meyer ----- Transcript of session follows ----- 550 /a/class/6.042/spring98/mailing-lists/6042-staff-archive... Can't create output ----- Unsent message follows ----- Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02106; Mon, 09 Feb 98 23:08:09 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA11141; Mon, 09 Feb 98 23:08:21 EST Date: Mon, 09 Feb 98 23:08:21 EST Message-Id: <199802100408.AA11141@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H06-pset2.ps Reply-To: 6042-meyer@theory.lcs.mit.edu I've put H06-pset2.ps, slightly revised from Edmond's draft, on the public 6042 psets page. It will be given out tomorrow in lecture. I'd also like to put on public page the notes we used for recitation 1, now in sections/recitation1.ps in the devel directory, for distribution tomorrow or Thursday. Any corrections/revisions you want to suggest before I do so? Regards, A.  1,, Summary-line: 10-Feb to: jones [12] #5 pset boxes Mail-from: From meyer@theory.lcs.mit.edu Tue Feb 10 04:14:34 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05762; Tue, 10 Feb 98 09:14:22 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA11367; Tue, 10 Feb 98 09:14:34 EST Date: Tue, 10 Feb 98 09:14:34 EST Message-Id: <199802101414.AA11367@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Subject: 5 pset boxes Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Tue, 10 Feb 98 09:14:34 EST From: "Albert R. Meyer" To: jones Subject: 5 pset boxes Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu We'll need 5 boxes, labelled w/TA names, for deposit of 6.042 problem sets in lecture today. Can you provide? Thanks, A.  1,, Summary-line: 10-Feb to: ahmeds@mit.edu, amu@m [30] #HELPING OUT -- not grading-- in 6.042 this term Mail-from: From dmjones@theory.lcs.mit.edu Tue Feb 10 05:58:53 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07045; Tue, 10 Feb 98 10:59:30 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA27349; Tue, 10 Feb 98 10:58:53 EST Date: Tue, 10 Feb 98 10:58:53 EST Message-Id: <199802101558.AA27349@sandpiper.lcs.mit.edu> To: ahmeds@mit.edu, amu@mit.edu, bapurvil@mit.edu, brettv@mit.edu, charatc@mit.edu, cynic@mit.edu, dakokes@mit.edu, dchen@mit.edu, dclai@mit.edu, dletzler@mit.edu, dmanz@mit.edu, dzych@mit.edu, elliotw@mit.edu, ericp@mit.edu, flattop@mit.edu, hhwang@mit.edu, hrobrtsn@mit.edu, ianchan@mit.edu, jamieson@mit.edu, jamiller@mit.edu, jeffshel@darkwing.mit.edu, jjlilley@mit.edu, jramanat@mit.edu, kavita@mit.edu, nataraja@mit.edu, nestler@mit.edu, nickm@mit.edu, petrosb@mit.edu, silver@mit.edu, sren@mit.edu, ttphuong@mit.edu, wbeebee@mit.edu, wchien@mit.edu, yitzhak@mit.edu From: meyer@theory.lcs.mit.edu (Albert R. Meyer) Cc: 6042-staff Reply-To: meyer@theory.lcs.mit.edu (Albert R. Meyer) Subject: HELPING OUT -- not grading-- in 6.042 this term *** EOOH *** Date: Tue, 10 Feb 98 10:58:53 EST To: ahmeds@mit.edu, amu@mit.edu, bapurvil@mit.edu, brettv@mit.edu, charatc@mit.edu, cynic@mit.edu, dakokes@mit.edu, dchen@mit.edu, dclai@mit.edu, dletzler@mit.edu, dmanz@mit.edu, dzych@mit.edu, elliotw@mit.edu, ericp@mit.edu, flattop@mit.edu, hhwang@mit.edu, hrobrtsn@mit.edu, ianchan@mit.edu, jamieson@mit.edu, jamiller@mit.edu, jeffshel@darkwing.mit.edu, jjlilley@mit.edu, jramanat@mit.edu, kavita@mit.edu, nataraja@mit.edu, nestler@mit.edu, nickm@mit.edu, petrosb@mit.edu, silver@mit.edu, sren@mit.edu, ttphuong@mit.edu, wbeebee@mit.edu, wchien@mit.edu, yitzhak@mit.edu From: meyer@theory.lcs.mit.edu (Albert R. Meyer) Cc: 6042-staff Reply-To: meyer@theory.lcs.mit.edu (Albert R. Meyer) Subject: HELPING OUT -- not grading-- in 6.042 this term The TA'S WILL BE GRADING, but I'd like to hire some undergrad "graders" to help out in 6.042 this term. Helping out might include: * manning a 6.042-HELP email or zephyr instance, * maintaining web-page, * perturbing old psets and solns just enough so they can be reused effectively, * work on a grading program, * etc. If you're interested in helping with such tasks, let me know. Yours truly, Prof. Albert R. Meyer MIT Lab. for Computer Science  1,, Summary-line: 10-Feb dmjones@theory.lcs.mit.ed [47] #grader solitications Mail-from: From dmjones@theory.lcs.mit.edu Tue Feb 10 06:00:21 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07060; Tue, 10 Feb 98 11:00:58 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA27354; Tue, 10 Feb 98 11:00:21 EST Date: Tue, 10 Feb 98 11:00:21 EST Message-Id: <199802101600.AA27354@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: grader solitications *** EOOH *** Date: Tue, 10 Feb 98 11:00:21 EST From: "David M. Jones" To: 6042-staff Subject: grader solitications These are the students the request for graders was sent to. A+ Beebee, William S. wbeebee@mit.edu Boufounos, Petros T. petrosb@mit.edu Miller, Jason C. jamiller@mit.edu Natarajan, Sripriya nataraja@mit.edu Ren, Sandia sren@mit.edu Ucko, Aaron amu@mit.edu Waingold, Elliot L. elliotw@mit.edu Zych, David M. dzych@mit.edu A Ahmed, Sarah ahmeds@MIT.EDU Baball, Kavita kavita@MIT.EDU Chan, Ian H. ianchan@MIT.EDU Chao, Wesley S. cynic@MIT.EDU Chen, David I. dchen@MIT.EDU Chien, Wendy S. wchien@MIT.EDU Chotigavanich, Charatp charatc@MIT.EDU Chung, Jack V. flattop@MIT.EDU Crockett, Sterling J. silver@MIT.EDU Hwang, Hau hhwang@MIT.EDU Jamieson, Kyle A. jamieson@MIT.EDU Kokotov, Daniel L. dakokes@MIT.EDU Lai, Danny C. dclai@MIT.EDU Letzler, Daniel C. dletzler@MIT.EDU Lilley, Jeremy J. jjlilley@MIT.EDU Manz, David R. dmanz@MIT.EDU Mathewson, Nicholas nickm@MIT.EDU Nestlerode, Ivan D. nestler@MIT.EDU Peterson, Eric C. ericp@MIT.EDU Phuong, Tri T. ttphuong@MIT.EDU Purville, Brian A. bapurvil@MIT.EDU Ramanathan, Jairam jramanat@MIT.EDU Robertson, Hans N. hrobrtsn@MIT.EDU Schechter, Ian R. yitzhak@MIT.EDU Sheldon, Jeffrey W. jeffshel@darkwing.mit.edu Vasconcellos, Brett W. brettv@MIT.EDU  1,, Summary-line: 10-Feb damonma@MIT.EDU [19] #Recitation Conflict Mail-from: From damonma@MIT.EDU Tue Feb 10 11:45:06 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12395; Tue, 10 Feb 98 16:46:08 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA21685; Tue, 10 Feb 98 16:45:19 EST Received: from DMA.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA15315; Tue, 10 Feb 98 16:45:18 EST Message-Id: <3.0.32.19980210164504.0068dacc@po9.mit.edu> X-Sender: damonma@po9.mit.edu (Unverified) X-Mailer: Windows Eudora Pro Version 3.0 (32) Date: Tue, 10 Feb 1998 16:45:06 -0500 To: 6042-staff@theory.lcs.mit.edu From: Damon Mosk-Aoyama Subject: Recitation Conflict Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" *** EOOH *** X-Sender: damonma@po9.mit.edu (Unverified) X-Mailer: Windows Eudora Pro Version 3.0 (32) Date: Tue, 10 Feb 1998 16:45:06 -0500 To: 6042-staff@theory.lcs.mit.edu From: Damon Mosk-Aoyama Subject: Recitation Conflict I sent a message to 6042-secretary last week regarding a conflict I have with my recitation assignment. However, my recitation hasn't been changed, so I'll outline my schedule here. I was assigned to Recitation 5 at 11, but I have a recitation for another class at the same time that cannot be rescheduled. Thus, I need to change recitations. I have classes from 10-12 and 1-2 on Friday, so I can only attend an afternoon recitation. I would prefer a 2-4 section, but I could also attend a 3-5 one. Damon Mosk-Aoyama damonma@mit.edu  1,, Summary-line: 10-Feb sylee@MIT.EDU [42] #problem set counts. Mail-from: From sylee@MIT.EDU Tue Feb 10 12:52:09 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13472; Tue, 10 Feb 98 17:53:00 EST Received: from W20-575-79.MIT.EDU by MIT.EDU with SMTP id AA13829; Tue, 10 Feb 98 17:52:11 EST Received: by w20-575-79.MIT.EDU (SMI-8.6/4.7) id RAA06031; Tue, 10 Feb 1998 17:52:09 -0500 Message-Id: <199802102252.RAA06031@w20-575-79.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: problem set counts. Date: Tue, 10 Feb 1998 17:52:09 EST From: SeungYong Albert Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: problem set counts. Date: Tue, 10 Feb 1998 17:52:09 EST From: SeungYong Albert Lee there are the problem sets i have... Banks, Eric (7) Chen, Max (8) Chong, Petra S. (7) Davidson, William Spencer (7) Drury, Todd Phillip (8) Franklin-Hodge, Jascha Alexis (7) Gan, Terence (1) - came to section 7 on friday Hardgrove, Chris - not on the list Huang, Angus (2) - came to section 8 on friday Jacobus, Eva W. (7) Kymissis, Ioannis (John) (7) Li, Richard D. (7) Li, Xiaoran (8) Liang, Shuehan (8) Lspez, Javier S. (7) Sae-Tan, Wandy (7) Self, Thomas Benjamin (7) Sivakumar, Ashok (8) Somani, Paritosh (8) Stocky, Thomas (?) Taylor, Matthew Marshall (3) Tewari, Gaurav (1) - came to section 7 on friday Traub, Eric R. (7) Winkel, Adam James (8) Wood, James F. (8) TOTAL 25 STUDENTS..  1,, Summary-line: 10-Feb kylee@MIT.EDU [26] #bug in problem set 2 Mail-from: From kylee@MIT.EDU Tue Feb 10 18:21:11 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16499; Tue, 10 Feb 98 23:22:05 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA18628; Tue, 10 Feb 98 23:21:32 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id XAA17397; Tue, 10 Feb 1998 23:21:14 -0500 (EST) Message-Id: <199802110421.XAA17397@mint-square.MIT.EDU> To: 6042-staff@theory.lcs Subject: bug in problem set 2 Date: Tue, 10 Feb 1998 23:21:11 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs Subject: bug in problem set 2 Date: Tue, 10 Feb 1998 23:21:11 EST From: Edmond Kayi Lee Hi, I found a bug in problem 7 in problem set 2. This is where we need to show that there is an assignment A such that F<->G is true under assignment A and false under the complement of A. But this is not true, since: x and y are 1BF's and so does x<->y; But for any assignment A for x and y, its complement is going to give the same value to x<->y as is A. The problem can be fixed if we change the inductive definition: if F and G are 1BF's with no variables in common, then F^G and F->G are 1BF's. (Change the double arrow to single arrow.) Edmond  1,, Summary-line: 10-Feb kylee@MIT.EDU [13] #Office hour Mail-from: From kylee@MIT.EDU Tue Feb 10 18:41:37 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16736; Tue, 10 Feb 98 23:42:28 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA22388; Tue, 10 Feb 98 23:41:39 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id XAA19355; Tue, 10 Feb 1998 23:41:37 -0500 (EST) Message-Id: <199802110441.XAA19355@mint-square.MIT.EDU> To: 6042-staff@theory.lcs Subject: Office hour Date: Tue, 10 Feb 1998 23:41:37 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs Subject: Office hour Date: Tue, 10 Feb 1998 23:41:37 EST From: Edmond Kayi Lee Hi, I would like to have my office hours either on Monday 11-1 or 3-5. Please tell me if rooms are available. Thanks. Edmond  1,, Summary-line: 10-Feb kylee@MIT.EDU [20] #Wording in Problem 5 Mail-from: From kylee@MIT.EDU Tue Feb 10 18:49:20 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16783; Tue, 10 Feb 98 23:50:10 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA23240; Tue, 10 Feb 98 23:49:38 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id XAA19803; Tue, 10 Feb 1998 23:49:21 -0500 (EST) Message-Id: <199802110449.XAA19803@mint-square.MIT.EDU> To: 6042-staff@theory.lcs Subject: Wording in Problem 5 Date: Tue, 10 Feb 1998 23:49:20 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs Subject: Wording in Problem 5 Date: Tue, 10 Feb 1998 23:49:20 EST From: Edmond Kayi Lee Hi, In the last sentence of problem 5, I think the wording should be changed to something like: an even size subset of S which does contain e has a 1-1 correspondence to an odd size subset of S-{e}. The original sentence may imply something like a set of even size is equal to a set of odd size. Edmond  1,, Summary-line: 10-Feb etara@MIT.EDU [13] #6.042 offics hours Mail-from: From etara@MIT.EDU Tue Feb 10 18:58:31 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16884; Tue, 10 Feb 98 23:59:22 EST Received: from DEPARTMENT-OF-ALCHEMY.MIT.EDU by MIT.EDU with SMTP id AB24700; Tue, 10 Feb 98 23:58:49 EST Received: by department-of-alchemy.MIT.EDU (8.8.7/4.7) id XAA12414; Tue, 10 Feb 1998 23:58:31 -0500 (EST) Message-Id: <199802110458.XAA12414@department-of-alchemy.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: 6.042 offics hours Date: Tue, 10 Feb 1998 23:58:31 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: 6.042 offics hours Date: Tue, 10 Feb 1998 23:58:31 EST From: Tara B Schenkel i'd like to have office hours monday 4-5 if there's space somewhere. thanks tara  1,, Summary-line: 11-Feb to: adiaz@MIT.EDU [26] #Re: 6.042J Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 06:56:34 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22405; Wed, 11 Feb 98 11:56:26 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12221; Wed, 11 Feb 98 11:56:34 EST Date: Wed, 11 Feb 98 11:56:34 EST Message-Id: <199802111656.AA12221@stork.lcs.mit.edu> From: "Albert R. Meyer" To: adiaz@MIT.EDU In-Reply-To: <199802110117.UAA08582@scrubbing-bubbles.MIT.EDU> (message from Adalberto Diaz on Tue, 10 Feb 1998 20:17:57 EST) Subject: Re: 6.042J Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 11 Feb 98 11:56:34 EST From: "Albert R. Meyer" To: adiaz@MIT.EDU In-Reply-To: <199802110117.UAA08582@scrubbing-bubbles.MIT.EDU> (message from Adalberto Diaz on Tue, 10 Feb 1998 20:17:57 EST) Subject: Re: 6.042J Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Date: Tue, 10 Feb 1998 20:17:57 EST From: Adalberto Diaz I was hoping i could add 6.042J at this point. I neeed it for Meng coursework. I f it is ok , can i make up the first homework? OK to add 6.042. Go to course web page http://theory.lcs.mit.edu/classes/6.042/ and email reqeusted student info to 6042-staff@theory.lcs.mit.edu We'll excuse you from this first assignment. Yours truly, Prof. Albert R. Meyer MIT Lab. for Computer Science  1,, Summary-line: 11-Feb to: aster@mit.edu [59] #[victor_l@raven.lcs.mit.edu: 6.042] Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 08:02:09 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23500; Wed, 11 Feb 98 13:02:17 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12363; Wed, 11 Feb 98 13:02:09 EST Date: Wed, 11 Feb 98 13:02:09 EST Message-Id: <199802111802.AA12363@stork.lcs.mit.edu> From: "Albert R. Meyer" Subject: [victor_l@raven.lcs.mit.edu: 6.042] To: aster@mit.edu Cc: 6042-staff, victor_l@theory.lcs.mit.edu Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 11 Feb 98 13:02:09 EST From: "Albert R. Meyer" Subject: [victor_l@raven.lcs.mit.edu: 6.042] To: aster@mit.edu Cc: 6042-staff, victor_l@theory.lcs.mit.edu Reply-To: 6042-meyer@theory.lcs.mit.edu Jessica, Seems there's a 6042-staff@mit.edu list. Can you contact whoever at MIT maintains such lists and cancel it? (We want only the current 6042-staff@theory list to be enabled.) Thanks, A. ------- Start of forwarded message ------- To: meyer Subject: 6.042 Date: Wed, 11 Feb 1998 11:42:46 -0500 From: Victor Luchangco Hi Albert, A student sent me this. I don't know if you received it as well, so I'm forwarding it to you. You may want to ask the system administrators to update the mailing list. I don't know why I'm still on this list... I TA'ed it three years ago. Victor - ------- Forwarded Message Return-Path: dbolton@MIT.EDU Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16856; Tue, 10 Feb 98 23:56:12 EST Received: from IMAGINEER.MIT.EDU by MIT.EDU with SMTP id AA24775; Tue, 10 Feb 98 23:55:23 EST Received: by imagineer.MIT.EDU (SMI-8.6/4.7) id XAA03351; Tue, 10 Feb 1998 23:55:22 -0500 Message-Id: <199802110455.XAA03351@imagineer.MIT.EDU> To: 6042-staff@MIT.EDU Subject: Recitation Assignments Date: Tue, 10 Feb 1998 23:55:22 EST From: Dean Bolton My name is Dean Bolton. I missed the first lecture and wasn't able to sign up for a recitation. I checked the home page, but no recitation was assigned for me. Please let me know which recitation I can attend; however, I can only make the 9-11 or 3-5, and would prefer the 9-11. Thanks, Dean Bolton - ------- End of Forwarded Message ------- End of forwarded message -------  1,, Summary-line: 11-Feb to: 6042-staff [43] #Re: bug in problem set 2 Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 08:04:53 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23563; Wed, 11 Feb 98 13:05:41 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12366; Wed, 11 Feb 98 13:04:53 EST Date: Wed, 11 Feb 98 13:04:53 EST Message-Id: <199802111804.AA12366@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: Re: bug in problem set 2 Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 11 Feb 98 13:04:53 EST From: "Albert R. Meyer" To: 6042-staff Subject: Re: bug in problem set 2 Reply-To: 6042-meyer@theory.lcs.mit.edu Date: Wed, 11 Feb 98 12:34:42 EST Message-Id: <199802111734.AA12308@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@MIT.EDU In-Reply-To: <199802110421.XAA17397@mint-square.MIT.EDU> (message from Edmond Kayi Lee on Tue, 10 Feb 1998 23:21:11 EST) Yikes, that is a small, but very bad typo. I've now made the correction and announced it on the web pages. Thanks, A. Date: Tue, 10 Feb 1998 23:21:11 EST From: Edmond Kayi Lee Hi, I found a bug in problem 7 in problem set 2. This is where we need to show that there is an assignment A such that F<->G is true under assignment A and false under the complement of A. But this is not true, since: x and y are 1BF's and so does x<->y; But for any assignment A for x and y, its complement is going to give the same value to x<->y as is A. The problem can be fixed if we change the inductive definition: if F and G are 1BF's with no variables in common, then F^G and F->G are 1BF's. (Change the double arrow to single arrow.) Edmond ------- End of forwarded message -------  1,, Summary-line: 11-Feb to: 6042-staff [46] #Re: Wording in Problem 5 Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 08:23:56 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23774; Wed, 11 Feb 98 13:23:44 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12394; Wed, 11 Feb 98 13:23:56 EST Date: Wed, 11 Feb 98 13:23:56 EST Message-Id: <199802111823.AA12394@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: Re: Wording in Problem 5 *** EOOH *** Date: Wed, 11 Feb 98 13:23:56 EST From: "Albert R. Meyer" To: 6042-staff Subject: Re: Wording in Problem 5 Date: Wed, 11 Feb 98 13:13:38 EST From: "Albert R. Meyer" To: kylee@MIT.EDU YES, I've also revised this sentence. Thanks for the careful reading. Regards, A. P.S. The soln writeup I had in mind for this prob is to let Odd(n) be the number of odd-size subset of a set of size n, and use the Hint to derive the recurrences: Odd(n+1) = Odd(n) + Even(n) Even(n+1)= Even(n) + Odd(n) with Odd(0) = Even(0) = 0. Then prove by induction that Odd(n) = Even(n) = (2^n)/2. Alternatively, just prove by induction that Odd(n) = Even(n), since this implies that exactly 1/2 the 2^n subsets are even. Date: Tue, 10 Feb 1998 23:49:20 EST From: Edmond Kayi Lee Hi, In the last sentence of problem 5, I think the wording should be changed to something like: an even size subset of S which does contain e has a 1-1 correspondence to an odd size subset of S-{e}. The original sentence may imply something like a set of even size is equal to a set of odd size. Edmond ------- End of forwarded message -------  1,, Summary-line: 11-Feb kylee@MIT.EDU [19] #Problem set 2 solution Mail-from: From kylee@MIT.EDU Wed Feb 11 13:22:48 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28505; Wed, 11 Feb 98 18:23:40 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA27818; Wed, 11 Feb 98 18:23:07 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id SAA26897; Wed, 11 Feb 1998 18:22:49 -0500 (EST) Message-Id: <199802112322.SAA26897@mint-square.MIT.EDU> To: 6042-staff@theory.lcs Subject: Problem set 2 solution Date: Wed, 11 Feb 1998 18:22:48 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs Subject: Problem set 2 solution Date: Wed, 11 Feb 1998 18:22:48 EST From: Edmond Kayi Lee Hi, The solution for problem set 2 has been put at: /a/class/6.042/spring98/psets/ps2sol.ps However, I am not quite sure about the proof of problem 5. Seems to me that once we get the recurrence Even(n+1)=Odd(n)+Even(n) from the hint, the proof is done since we know that Odd(n)+Even(n)=2^n. We don't really need induction. Edmond  1,, Summary-line: 11-Feb amsduran@mit.edu [10] #PS 1 grading Mail-from: From amsduran@mit.edu Wed Feb 11 13:45:11 1998 Return-Path: Received: from AMPERSAND.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28769; Wed, 11 Feb 98 18:46:00 EST Received: (from amsduran@localhost) by ampersand.MIT.EDU (8.7.5/8.6.12) id SAA22652; Wed, 11 Feb 1998 18:45:11 -0500 (EST) From: "Alexander M. S. Duran" Message-Id: <199802112345.SAA22652@ampersand.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: PS 1 grading Date: Wed, 11 Feb 1998 18:45:11 EST *** EOOH *** From: "Alexander M. S. Duran" To: 6042-staff@theory.lcs.mit.edu Subject: PS 1 grading Date: Wed, 11 Feb 1998 18:45:11 EST Do we allow Venn diagrams as a proof technique? --Alex amsduran@mit.edu  1,, Summary-line: 11-Feb kylee@mit.edu [19] #Problem 2 in rectation 2 Mail-from: From kylee@mit.edu Wed Feb 11 14:23:22 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29109; Wed, 11 Feb 98 19:24:13 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id TAA18402; Wed, 11 Feb 1998 19:23:23 -0500 Message-Id: <199802120023.TAA18402@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.MIT.EDU Subject: Problem 2 in rectation 2 Date: Wed, 11 Feb 1998 19:23:22 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.MIT.EDU Subject: Problem 2 in rectation 2 Date: Wed, 11 Feb 1998 19:23:22 EST From: Edmond Kayi Lee In problem 2 of recitation 2's group problem. I guess we need to state that WCP has to have positive length. It is not explicitly stated in the problem. Edmond  1,, Summary-line: 11-Feb to: amsduran@mit.edu [29] #Re: PS 1 grading Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 15:02:54 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29525; Wed, 11 Feb 98 20:02:41 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12655; Wed, 11 Feb 98 20:02:54 EST Date: Wed, 11 Feb 98 20:02:54 EST Message-Id: <199802120102.AA12655@stork.lcs.mit.edu> From: "Albert R. Meyer" To: amsduran@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802112345.SAA22652@ampersand.MIT.EDU> (amsduran@mit.edu) Subject: Re: PS 1 grading Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 11 Feb 98 20:02:54 EST From: "Albert R. Meyer" To: amsduran@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802112345.SAA22652@ampersand.MIT.EDU> (amsduran@mit.edu) Subject: Re: PS 1 grading Reply-To: 6042-meyer@theory.lcs.mit.edu From: "Alexander M. S. Duran" Date: Wed, 11 Feb 1998 18:45:11 EST Do we allow Venn diagrams as a proof technique? --Alex amsduran@mit.edu Seems OK to use Venn diagrams as a pictorial way to describe cases in a proof about the sets in the diagram. But a proof ala "you can see from the diagram that ..." should not fly, though. Regards, A.  1,, Summary-line: 11-Feb kylee@mit.edu [32] #Re: PS 1 grading Mail-from: From kylee@mit.edu Wed Feb 11 16:19:22 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00187; Wed, 11 Feb 98 21:20:13 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id VAA19174; Wed, 11 Feb 1998 21:19:23 -0500 Message-Id: <199802120219.VAA19174@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.MIT.EDU Subject: Re: PS 1 grading Date: Wed, 11 Feb 1998 21:19:22 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.MIT.EDU Subject: Re: PS 1 grading Date: Wed, 11 Feb 1998 21:19:22 EST From: Edmond Kayi Lee > From: "Alexander M. S. Duran" > Date: Wed, 11 Feb 1998 18:45:11 EST > > Do we allow Venn diagrams as a proof technique? > > --Alex > amsduran@mit.edu > >Seems OK to use Venn diagrams as a pictorial way to describe cases in a >proof about the sets in the diagram. But a proof ala "you can see from the >diagram that ..." should not fly, though. > >Regards, A. So should we give 0 point to the answer? Edmond  1,, Summary-line: 11-Feb to: 6042-staff [55] #[MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 16:23:02 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00216; Wed, 11 Feb 98 21:22:50 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12747; Wed, 11 Feb 98 21:23:02 EST Date: Wed, 11 Feb 98 21:23:02 EST Message-Id: <199802120223.AA12747@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] *** EOOH *** Date: Wed, 11 Feb 98 21:23:02 EST From: "Albert R. Meyer" To: 6042-staff Subject: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] ------- Start of forwarded message ------- Date: Wed, 11 Feb 98 20:56:10 EST From: MAILER-DAEMON@theory.lcs.mit.edu (Mail Delivery Subsystem) Subject: Returned mail: Host unknown To: meyer ----- Transcript of session follows ----- 550 theory.lcs (tcp)... 550 Host unknown 554 <6042-staff@theory.lcs>... 550 Host unknown (Authoritative answer from name server) ----- Unsent message follows ----- Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29884; Wed, 11 Feb 98 20:56:10 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12726; Wed, 11 Feb 98 20:56:23 EST Date: Wed, 11 Feb 98 20:56:23 EST Message-Id: <199802120156.AA12726@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs In-Reply-To: <199802112322.SAA26897@mint-square.MIT.EDU> (message from Edmond Kayi Lee on Wed, 11 Feb 1998 18:22:48 EST) Subject: Re: Problem set 2 solution Reply-To: 6042-meyer@theory.lcs.mit.edu However, I am not quite sure about the proof of problem 5. Seems to me that once we get the recurrence Even(n+1)=Odd(n)+Even(n) from the hint, the proof is done since we know that Odd(n)+Even(n)=2^n. We don't really need induction. YES. I had in mind referring to Rosen's inductive proof that there are 2^n subsets of a set of size n as a guide to proving the Odd/Even recurrence solves to 2^(n-1) w/o appeal to the 2^n result. But you're right that appealing to the 2^n subsets result yields a direct, noninductive proof. I'll add a note that the proof by prob 5 does not have to be by induction. Thanks, A. ------- End of forwarded message -------  1,, Summary-line: 11-Feb to: kylee@mit.edu [31] #Re: PS 1 grading Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 16:28:27 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00264; Wed, 11 Feb 98 21:28:14 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12750; Wed, 11 Feb 98 21:28:27 EST Date: Wed, 11 Feb 98 21:28:27 EST Message-Id: <199802120228.AA12750@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.MIT.EDU In-Reply-To: <199802120219.VAA19174@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Wed, 11 Feb 1998 21:19:22 EST) Subject: Re: PS 1 grading Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 11 Feb 98 21:28:27 EST From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.MIT.EDU In-Reply-To: <199802120219.VAA19174@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Wed, 11 Feb 1998 21:19:22 EST) Subject: Re: PS 1 grading Reply-To: 6042-meyer@theory.lcs.mit.edu But a proof ala "you can see from the >diagram that ..." should not fly, though. > >Regards, A. So should we give 0 point to the answer? You'll have to decide. (I'd personally expect to give from zero to half credit, depending on just what the student answered and how much I was convinced the student had considered all the cases.) Regards, A.  1,, Summary-line: 11-Feb kylee@mit.edu [40] #recitation 1 solution finished & problem with recitation 2 question Mail-from: From kylee@mit.edu Wed Feb 11 17:30:25 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00774; Wed, 11 Feb 98 22:31:17 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id WAA20128; Wed, 11 Feb 1998 22:30:26 -0500 Message-Id: <199802120330.WAA20128@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.MIT.EDU Subject: recitation 1 solution finished & problem with recitation 2 question Date: Wed, 11 Feb 1998 22:30:25 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.MIT.EDU Subject: recitation 1 solution finished & problem with recitation 2 question Date: Wed, 11 Feb 1998 22:30:25 EST From: Edmond Kayi Lee 1. The solution for recitation 1 group problem 2 is now at /a/class/6.042/spring98/tutorials/rec1Q2sol.ps 2. I have some trouble prove the group problem number 2. Actually I found 2 difficulties: I am trying to prove every WCP is also a WMP. In the inductive case, assume X is a WCP. Then X has to be in a form of (Y). So here are my 2 problems: i) In fact, Y is a concatenation of many smaller WCP's. (e.g. (())()()() ) But I find it quite complicated to argue that. ii) Since Y is a concatenation of small WCP's, it is also a concatenation of many WMP as well, by inductive hypothesis. But I think we need another induction to prove (ABCD...) is also a WMP if A, B, C, D, ... are WMP's. This is my second difficulty. The other direction is fine. Just the above two questions are pretty complicated. Any hint to do that? Edmond  1,, Summary-line: 11-Feb etara@MIT.EDU [52] #6.042 recitation scheduling update Mail-from: From etara@MIT.EDU Wed Feb 11 18:30:46 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01357; Wed, 11 Feb 98 23:32:24 EST Received: from M1-142-18.MIT.EDU by MIT.EDU with SMTP id AA27289; Wed, 11 Feb 98 23:31:04 EST Received: by m1-142-18.MIT.EDU (940816.SGI.8.6.9/4.7) id XAA03542; Wed, 11 Feb 1998 23:30:46 -0500 Message-Id: <199802120430.XAA03542@m1-142-18.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: 6.042 recitation scheduling update Date: Wed, 11 Feb 1998 23:30:46 EST From: Tara B Schenkel *** EOOH *** To: 6042-students@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: 6.042 recitation scheduling update Date: Wed, 11 Feb 1998 23:30:46 EST From: Tara B Schenkel *** if you're reading this message and you're not taking *** 6.042, email me and i'll remove you from the list. recitation scheduling information has been updated again. everyone who's sent me (or 6042-staff) mail has been reassigned according to their preferences. PLEASE check your section assignment. it's at http://theory.lcs.mit.edu/classes/6.042/sections/students.html if anyone can switch from another section into an 11-1 one, we would greatly appreciate it, (and it's to your advantage since there'll be less people in your section and more opportunity to get your questions answered!) and just to clarify: (1) it doesn't matter what section you went to last week, or who you handed your problem set in to, or even what anyone (including me) told you about what section you're in. your OFFICIAL section is what's listed on the web page, and that's where we expect you to go. (2) the number beside your name _doesn't_ indicate the time! it's the section number. to see what time/room it is, click on "Return to Recitation Information" (3) again, if you have a conflict with your assigned section, email me. thanks. tara  1,, Summary-line: 11-Feb etara@MIT.EDU [47] #6.042 recitation scheduling update Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 18:30:46 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02310; Thu, 12 Feb 98 01:49:15 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12963; Thu, 12 Feb 98 01:49:27 EST Message-Id: <199802120649.AA12963@stork.lcs.mit.edu> To: 6042-students@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: 6.042 recitation scheduling update Date: Wed, 11 Feb 1998 23:30:46 EST From: Tara B Schenkel Reply-To: etara@mit.edu *** EOOH *** To: 6042-students@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: 6.042 recitation scheduling update Date: Wed, 11 Feb 1998 23:30:46 EST From: Tara B Schenkel Reply-To: etara@mit.edu *** If you're reading this message and you're not taking 6.042, *** then email me, etara@MIT.EDU, and I'll remove you from the list. Recitation scheduling information has been updated again. Everyone who's sent me (or 6042-staff) mail has been reassigned according to their preferences. PLEASE check your section assignment. it's at http://theory.lcs.mit.edu/classes/6.042/sections/students.html If anyone can switch from another section into an 11--1 one, we would greatly appreciate it -- it's to your advantage since there'll be fewer people in your section and more opportunity to get your questions answered! And just to clarify: (1) it doesn't matter what section you went to last week, or who you handed your problem set in to, or even what anyone (including me) told you about what section you're in. YOUR OFFICIAL SECTION IS WHAT'S LISTED ON THE WEB PAGE, and that's where we expect you to go. (2) The number beside your name _doesn't_ indicate the time! It's the section number. To see what time/room it is, click on "Return to Recitation Information" (3) Again, if you have a conflict with your assigned section, email me. thanks. tara  1,, Summary-line: 11-Feb etara@MIT.EDU [92] #help- returned mail Mail-from: From etara@MIT.EDU Wed Feb 11 18:38:56 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01429; Wed, 11 Feb 98 23:39:47 EST Received: from M1-142-18.MIT.EDU by MIT.EDU with SMTP id AA29382; Wed, 11 Feb 98 23:38:57 EST Received: by m1-142-18.MIT.EDU (940816.SGI.8.6.9/4.7) id XAA03573; Wed, 11 Feb 1998 23:38:56 -0500 Message-Id: <199802120438.XAA03573@m1-142-18.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: help- returned mail Date: Wed, 11 Feb 1998 23:38:56 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: help- returned mail Date: Wed, 11 Feb 1998 23:38:56 EST From: Tara B Schenkel i got this back from the mail i sent to 6042-students@theory. does it mean that it didn't get sent to them, or just that it didn't write it to the archive? should i send it again? tara ------- Forwarded Message Received: from PACIFIC-CARRIER-ANNEX.MIT.EDU by po9.MIT.EDU (5.61/4.7) id AA08599; Wed, 11 Feb 98 23:34:14 EST Received: from theory.lcs.mit.edu by MIT.EDU with SMTP id AA27695; Wed, 11 Feb 98 23:33:07 EST Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01366; Wed, 11 Feb 98 23:32:24 EST Date: Wed, 11 Feb 98 23:32:24 EST From: MAILER-DAEMON@theory.lcs.mit.edu (Mail Delivery Subsystem) Subject: Returned mail: Can't create output Message-Id: <199802120432.AA01366@theory.lcs.mit.edu> To: etara@MIT.EDU ----- Transcript of session follows ----- 550 /a/class/6.042/spring98/mailing-lists/6042-students-archive... Can't create output 550 /a/class/6.042/spring98/mailing-lists/6042-students-archive... Can't create output ----- Unsent message follows ----- Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01357; Wed, 11 Feb 98 23:32:24 EST Received: from M1-142-18.MIT.EDU by MIT.EDU with SMTP id AA27289; Wed, 11 Feb 98 23:31:04 EST Received: by m1-142-18.MIT.EDU (940816.SGI.8.6.9/4.7) id XAA03542; Wed, 11 Feb 1998 23:30:46 -0500 Message-Id: <199802120430.XAA03542@m1-142-18.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: 6.042 recitation scheduling update Date: Wed, 11 Feb 1998 23:30:46 EST From: Tara B Schenkel *** if you're reading this message and you're not taking *** 6.042, email me and i'll remove you from the list. recitation scheduling information has been updated again. everyone who's sent me (or 6042-staff) mail has been reassigned according to their preferences. PLEASE check your section assignment. it's at http://theory.lcs.mit.edu/classes/6.042/sections/students.html if anyone can switch from another section into an 11-1 one, we would greatly appreciate it, (and it's to your advantage since there'll be less people in your section and more opportunity to get your questions answered!) and just to clarify: (1) it doesn't matter what section you went to last week, or who you handed your problem set in to, or even what anyone (including me) told you about what section you're in. your OFFICIAL section is what's listed on the web page, and that's where we expect you to go. (2) the number beside your name _doesn't_ indicate the time! it's the section number. to see what time/room it is, click on "Return to Recitation Information" (3) again, if you have a conflict with your assigned section, email me. thanks. tara ------- End of Forwarded Message  1,, Summary-line: 11-Feb sylee@MIT.EDU [23] #absence policy.. Mail-from: From sylee@MIT.EDU Wed Feb 11 18:51:40 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01540; Wed, 11 Feb 98 23:52:35 EST Received: from M38-370-3.MIT.EDU by MIT.EDU with SMTP id AA00497; Wed, 11 Feb 98 23:52:02 EST Received: by m38-370-3.MIT.EDU (SMI-8.6/4.7) id XAA18699; Wed, 11 Feb 1998 23:51:40 -0500 Message-Id: <199802120451.XAA18699@m38-370-3.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: absence policy.. Date: Wed, 11 Feb 1998 23:51:40 EST From: SeungYong Albert Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: absence policy.. Date: Wed, 11 Feb 1998 23:51:40 EST From: SeungYong Albert Lee hi all. one of my student told me that he's going away for the weekend and whether he could make up for the missing recitation materials before the problem set is due. How soon are we going to have the recitation note available? I need to get back to him soon so please clarify this for me as soon as possible.. thanks.. Al.  0, unseen,, Summary-line: 11-Feb sylee@MIT.EDU [20] #absence policy II *** EOOH *** Mail-from: From sylee@MIT.EDU Wed Feb 11 18:55:26 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01578; Wed, 11 Feb 98 23:56:17 EST Received: from M38-370-3.MIT.EDU by MIT.EDU with SMTP id AA01845; Wed, 11 Feb 98 23:55:27 EST Received: by m38-370-3.MIT.EDU (SMI-8.6/4.7) id XAA18705; Wed, 11 Feb 1998 23:55:26 -0500 Message-Id: <199802120455.XAA18705@m38-370-3.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: absence policy II Date: Wed, 11 Feb 1998 23:55:26 EST From: SeungYong Albert Lee oh, i forgot to ask one more thing.. if a student notifies the TA before s/he misses the recitation, should we just consider that as the same absence or not? what you guys think? Al.  0, unseen,, Summary-line: 12-Feb sylee@MIT.EDU [27] #first draft of ps3.. *** EOOH *** Mail-from: From sylee@MIT.EDU Wed Feb 11 20:20:07 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02161; Thu, 12 Feb 98 01:20:58 EST Received: from M38-370-3.MIT.EDU by MIT.EDU with SMTP id AA13510; Thu, 12 Feb 98 01:20:25 EST Received: by m38-370-3.MIT.EDU (SMI-8.6/4.7) id BAA18772; Thu, 12 Feb 1998 01:20:07 -0500 Message-Id: <199802120620.BAA18772@m38-370-3.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: first draft of ps3.. Date: Thu, 12 Feb 1998 01:20:07 EST From: SeungYong Albert Lee hello.. the first draft of ps3 is now in /a/class/6.042/spring98/psets/ps3_ver1.tex it only has 5 problems. I am thinking of adding one more if you think it is too short. I don't have the solutions ready yet, but I will have it ASAP.. please read the problem set and give me some feedback.. thanks.. Al..  1,, Summary-line: 12-Feb to: sylee@MIT.EDU [58] #Re: absence policy.. Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 20:22:15 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02172; Thu, 12 Feb 98 01:22:07 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12939; Thu, 12 Feb 98 01:22:15 EST Date: Thu, 12 Feb 98 01:22:15 EST Message-Id: <199802120622.AA12939@stork.lcs.mit.edu> From: "Albert R. Meyer" To: sylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802120451.XAA18699@m38-370-3.MIT.EDU> (message from SeungYong Albert Lee on Wed, 11 Feb 1998 23:51:40 EST) Subject: Re: absence policy.. Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Thu, 12 Feb 98 01:22:15 EST From: "Albert R. Meyer" To: sylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802120451.XAA18699@m38-370-3.MIT.EDU> (message from SeungYong Albert Lee on Wed, 11 Feb 1998 23:51:40 EST) Subject: Re: absence policy.. Reply-To: 6042-meyer@theory.lcs.mit.edu Re skipped recitation policy: student should have a legitimate reason to be "away for the weekend" so as to miss recitation. In any case, Handout 7, recitation 1 notes and team problem 2 solution (ny Edmond) is now on the web (team problem 1 soln will be inserted when Alex delivers it Monday.) Also, I've polished and slightly revised the TA notes for the second recitation this Friday, and they are ready for you all to teach from Friday. H10-rec2.ps is in the subdirectory /pub/www/classes/6.042/staffonly/ It's also accessible with a browser by going to: http://theory.lcs.mit.edu/classes/6.042/staffonly/ but you'll need the login name and password to access that page, however. Remind me to tell you what they are. The LaTeX source is in /a/class/6.042/spring98/sections/H10-rec2.tex NOTE: WHOEVER WAS WORKING ON RECITATION 2, PROB SOLN 1: I've already included the solution to the harder part of the first question in the TA notes. Edmond indicates that PROB 2 on inductive defs of wellmatched parens may need further revision -- I'm working on that and then will have the team problems printed for your students to use in recitation Friday. Regards, A. Date: Wed, 11 Feb 1998 23:51:40 EST From: SeungYong Albert Lee hi all. one of my student told me that he's going away for the weekend and whether he could make up for the missing recitation materials before the problem set is due. How soon are we going to have the recitation note available? I need to get back to him soon so please clarify this for me as soon as possible.. thanks.. Al.  0, unseen,, Summary-line: 12-Feb to: kylee@mit.edu [29] #Re: Problem 2 in rectation 2 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 20:44:27 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02287; Thu, 12 Feb 98 01:44:15 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12960; Thu, 12 Feb 98 01:44:27 EST Date: Thu, 12 Feb 98 01:44:27 EST Message-Id: <199802120644.AA12960@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu In-Reply-To: <199802120023.TAA18402@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Wed, 11 Feb 1998 19:23:22 EST) Subject: Re: Problem 2 in rectation 2 Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Date: Wed, 11 Feb 1998 19:23:22 EST From: Edmond Kayi Lee In problem 2 of recitation 2's group problem. I guess we need to state that WCP has to have positive length. It is not explicitly stated in the problem. Edmond DONE. Thanks, A.  0, unseen,, Summary-line: 12-Feb to: sylee@MIT.EDU [38] #Re: absence policy II *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 21:24:11 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02471; Thu, 12 Feb 98 02:23:58 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA13019; Thu, 12 Feb 98 02:24:11 EST Date: Thu, 12 Feb 98 02:24:11 EST Message-Id: <199802120724.AA13019@stork.lcs.mit.edu> From: "Albert R. Meyer" To: sylee@MIT.EDU In-Reply-To: <199802120455.XAA18705@m38-370-3.MIT.EDU> (message from SeungYong Albert Lee on Wed, 11 Feb 1998 23:55:26 EST) Subject: Re: absence policy II Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Date: Wed, 11 Feb 1998 23:55:26 EST From: SeungYong Albert Lee oh, i forgot to ask one more thing.. if a student notifies the TA before s/he misses the recitation, should we just consider that as the same absence or not? what you guys think? Al. It' s courteous of the student to notify you, but notification is not the same as permission. The student needs to obtain your permission to skip the recitation. Permission should be routinely granted for a medical problem, death in immediate family, out of town job interview, out of town MIT athletics commitment,.... If you have any doubts or concerns about the legitimacy of the student's reason for absence, you should consult with me and/or ask the student to have medical or family problems confirmed by a letter from a counseling dean, an athletic commitment by a coach, etc. Regards, A.  0, unseen,, Summary-line: 12-Feb to: kylee@mit.edu [54] #problem with recitation 2 question *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 11 21:33:37 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02509; Thu, 12 Feb 98 02:33:24 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA13039; Thu, 12 Feb 98 02:33:37 EST Date: Thu, 12 Feb 98 02:33:37 EST Message-Id: <199802120733.AA13039@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.MIT.EDU In-Reply-To: <199802120330.WAA20128@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Wed, 11 Feb 1998 22:30:25 EST) Subject: problem with recitation 2 question Reply-To: 6042-meyer@theory.lcs.mit.edu Do you think the problem would be easier if I defined WMP's as follows: 1: () is a WMP 2: if Z is a sequence of 1 or more WMP's, then (Z) is a WMP. Regards, A. Date: Wed, 11 Feb 1998 22:30:25 EST From: Edmond Kayi Lee 1. The solution for recitation 1 group problem 2 is now at /a/class/6.042/spring98/tutorials/rec1Q2sol.ps 2. I have some trouble prove the group problem number 2. Actually I found 2 difficulties: I am trying to prove every WCP is also a WMP. In the inductive case, assume X is a WCP. Then X has to be in a form of (Y). So here are my 2 problems: i) In fact, Y is a concatenation of many smaller WCP's. (e.g. (())()()() ) But I find it quite complicated to argue that. ii) Since Y is a concatenation of small WCP's, it is also a concatenation of many WMP as well, by inductive hypothesis. But I think we need another induction to prove (ABCD...) is also a WMP if A, B, C, D, ... are WMP's. This is my second difficulty. The other direction is fine. Just the above two questions are pretty complicated. Any hint to do that? Edmond  0, unseen,, Summary-line: 12-Feb kylee@mit.edu [44] #Re: problem with recitation 2 question *** EOOH *** Mail-from: From kylee@mit.edu Wed Feb 11 21:40:09 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02532; Thu, 12 Feb 98 02:41:00 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id CAA23639; Thu, 12 Feb 1998 02:40:09 -0500 Message-Id: <199802120740.CAA23639@Kings-College.MIT.edu> To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.MIT.EDU Subject: Re: problem with recitation 2 question In-Reply-To: Your message of "Thu, 12 Feb 1998 02:33:37 EST." <199802120733.AA13039@stork.lcs.mit.edu> Date: Thu, 12 Feb 1998 02:40:09 EST From: Edmond Kayi Lee >Do you think the problem would be easier if I defined WMP's as follows: > >1: () is a WMP >2: if Z is a sequence of 1 or more WMP's, then (Z) is a WMP. > >Regards, A. >> I am trying to prove every WCP is also a WMP. In the inductive case, >> assume X is a WCP. Then X has to be in a form of (Y). So here are >> my 2 problems: >> i) In fact, Y is a concatenation of many smaller WCP's. >> (e.g. (())()()() ) >> But I find it quite complicated to argue that. >> ii) Since Y is a concatenation of small WCP's, it is also a >> concatenation of many WMP as well, by inductive hypothesis. >> But I think we need another induction to prove >> (ABCD...) is also a WMP if A, B, C, D, ... are WMP's. This >> is my second difficulty. Then problem ii) is immediatele resolved. Problem i) is still a bit complicated to explain, but I guess it's acceptable. Edmond  0, unseen,, Summary-line: 12-Feb dmjones@theory.lcs.mit.ed [58] #Re: help- returned mail *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Thu Feb 12 06:17:38 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06323; Thu, 12 Feb 98 11:18:15 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA29241; Thu, 12 Feb 98 11:17:38 EST Date: Thu, 12 Feb 98 11:17:38 EST Message-Id: <199802121617.AA29241@sandpiper.lcs.mit.edu> From: "David M. Jones" To: etara@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802120438.XAA03573@m1-142-18.MIT.EDU> (message from Tara B Schenkel on Wed, 11 Feb 1998 23:38:56 EST) Subject: Re: help- returned mail I think the message should have gone out, just without a copy being appended to the archive. The problem is that the ownership of the archives files got changed from daemon to meyer, so the mailer didn't have write access. I've changed the ownership back. My understanding was that these would be write-only archives. If it's going to be necessary to edit them, we'll need to make them world-writable so the mailer can always append to them. Of course, then you have to hope that no-one is editing the archive files when the mailer is trying to append a new message to them. David. > Date: Wed, 11 Feb 1998 23:38:56 EST > From: Tara B Schenkel > > i got this back from the mail i sent to 6042-students@theory. > does it mean that it didn't get sent to them, or just that > it didn't write it to the archive? should i send it again? > > tara > > ------- Forwarded Message > > Received: from PACIFIC-CARRIER-ANNEX.MIT.EDU by po9.MIT.EDU (5.61/4.7) id AA08599; Wed, 11 Feb 98 23:34:14 EST > Received: from theory.lcs.mit.edu by MIT.EDU with SMTP > id AA27695; Wed, 11 Feb 98 23:33:07 EST > Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) > id AA01366; Wed, 11 Feb 98 23:32:24 EST > Date: Wed, 11 Feb 98 23:32:24 EST > From: MAILER-DAEMON@theory.lcs.mit.edu (Mail Delivery Subsystem) > Subject: Returned mail: Can't create output > Message-Id: <199802120432.AA01366@theory.lcs.mit.edu> > To: etara@MIT.EDU > > ----- Transcript of session follows ----- > 550 /a/class/6.042/spring98/mailing-lists/6042-students-archive... Can't create output > 550 /a/class/6.042/spring98/mailing-lists/6042-students-archive... Can't create output > [text deleted]  0, unseen,, Summary-line: 12-Feb kylee@MIT.EDU [23] #Solution for recitation problem 2 *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Feb 12 07:11:06 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07408; Thu, 12 Feb 98 12:11:58 EST Received: from W20-575-75.MIT.EDU by MIT.EDU with SMTP id AA23514; Thu, 12 Feb 98 12:11:24 EST Received: by w20-575-75.MIT.EDU (SMI-8.6/4.7) id MAA17137; Thu, 12 Feb 1998 12:11:07 -0500 Message-Id: <199802121711.MAA17137@w20-575-75.MIT.EDU> To: 6042-staff@theory.lcs Subject: Solution for recitation problem 2 Date: Thu, 12 Feb 1998 12:11:06 EST From: Edmond Kayi Lee Hi, The draft is now at /a/class/6.042/spring98/tutorials/rec2Q2sol.ps It is a bit sloppy, and need some improvement. But I guess the prove idea should be something like this. Edmond  0, unseen,, Summary-line: 12-Feb stasio@MIT.EDU [46] #Re: first draft of ps3.. *** EOOH *** Mail-from: From stasio@MIT.EDU Thu Feb 12 07:45:26 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08036; Thu, 12 Feb 98 12:46:31 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA08394; Thu, 12 Feb 98 12:45:28 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id MAA24902; Thu, 12 Feb 1998 12:45:26 -0500 (EST) Date: Thu, 12 Feb 1998 12:45:26 -0500 (EST) Message-Id: <199802121745.MAA24902@mint-square.MIT.EDU> From: Stanislaw Jarecki To: sylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802120620.BAA18772@m38-370-3.MIT.EDU> (message from SeungYong Albert Lee on Thu, 12 Feb 1998 01:20:07 EST) Subject: Re: first draft of ps3.. * Five problems is enough! * problem 1: make it 20 points, even though it's easier. Alternatively, since plotting an adjacency matrix M(Q_n) for Q_n is somewhat confusing in a general case, we can rewrite the problem into two parts: a) [12 points] find the general form of the adjency matrix for graphs K_n, C_n, W_n and K_{n,m} b) [8 points] find an inductive definition for the adjency matrix of Q_n. * problem 2 is good * problem 3 is good * problem 4 is good, except that: I understand that they need the hint so that to exclude the case that a tree is an empty graph, or a graph with only one element. However, the definition of a tree on p.531 allows both of these cases. So what definition of a tree shall they work from? If they just look in the index for "tree, definition of", they get to p.531 which allows empty and 1-element trees. * problem 5 is good Stas  0, unseen,, Summary-line: 12-Feb stasio@MIT.EDU [28] #Plagiarism... *** EOOH *** Mail-from: From stasio@MIT.EDU Thu Feb 12 07:55:41 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08261; Thu, 12 Feb 98 12:56:35 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA07605; Thu, 12 Feb 98 12:55:59 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id MAA25536; Thu, 12 Feb 1998 12:55:41 -0500 (EST) Date: Thu, 12 Feb 1998 12:55:41 -0500 (EST) Message-Id: <199802121755.MAA25536@mint-square.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs Subject: Plagiarism... Hi, Unfortunately, somebody wrote down a solution to the gandalf=hobbit problem, which is plainly copied from some old solutions, because it has both the choice of variables and the layout of the solution we printed out, which I assume was copied from some handout from previous years. What shall we do? He did not acknowledge any reference for that problem. However, at the bottom of a solution to problem 1, he did write "note: some help from Fall 97 PSet#1 Sols". Stas  0, unseen,, Summary-line: 12-Feb luca@theory.lcs.mit.edu [64] #Re: first draft of ps3.. *** EOOH *** Mail-from: From luca@theory.lcs.mit.edu Thu Feb 12 08:49:24 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09102; Thu, 12 Feb 98 13:51:52 EST Sender: luca@theory.lcs.mit.edu Message-Id: <34E34434.2781E494@theory.lcs.mit.edu> Date: Thu, 12 Feb 1998 13:49:24 -0500 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: Re: first draft of ps3.. References: <199802120620.BAA18772@m38-370-3.MIT.EDU> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit SeungYong Albert Lee wrote: > > hello.. > the first draft of ps3 is now in > > /a/class/6.042/spring98/psets/ps3_ver1.tex > > it only has 5 problems. I am thinking of adding one more > if you think it is too short. I don't have the solutions > ready yet, but I will have it ASAP.. > > please read the problem set and give me some feedback.. > thanks.. > > Al.. Hi Al problems 1-4 are ok for me. problem 5 is essentially identical to one from last fall. a different (but easier) one could be: - prove that if all the vertices of an undirected graph have degree at most $\Delta$, then the graph can be colored with $\Delta +1$ colors. i have a couple of proposals if you want to add a sixth problem: - an undirected graph is regular if all the vertices have the same degree. Prove that a bipartite regular graph has an even number of vertices (unless in the special case of a graph with an empty set of edges.) proof: the set of vertices can be partitioned into sets V1 and V2 such that any edge has an endpoint in V1 and one endpoint in V2. let d be the degree of the vertices; then the number of edges is equal to d|V1| and is also equal to d|V2|. therefore V1 and V2 have the same cardinality. - prove that any subgraph of a bipartite graph is bipartite. --luca  0, unseen,, Summary-line: 12-Feb low@MIT.EDU [35] #6.042 *** EOOH *** Mail-from: From low@MIT.EDU Thu Feb 12 11:44:37 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA11546; Thu, 12 Feb 98 16:45:29 EST Received: from TORQUE-WRENCH.MIT.EDU by MIT.EDU with SMTP id AA21915; Thu, 12 Feb 98 16:44:56 EST Received: by torque-wrench.MIT.EDU (940816.SGI.8.6.9/4.7) id QAA19303; Thu, 12 Feb 1998 16:44:37 -0500 Message-Id: <199802122144.QAA19303@torque-wrench.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: 6.042 Date: Thu, 12 Feb 1998 16:44:37 EST From: Tzerhung Low Hi. My name is Low Tzer Hung. I joined the class before the end of the first week, but I cannot seem to find my name in the recitation lists. Therefore I am emailing the student information form. Last name: Low First name: Tzer Hung Deparment, year: 1 Phone number: 617-2258904 Email: low@mit.edu recitation preference on friday: 3-5 I have taken 18.02 I am currently taking 6.001, 6.002, 6.042, 18.034, 18.04 Thank you. Low Tzer Hung.  0, unseen,, Summary-line: 12-Feb kylee@MIT.EDU [20] #Small typo is recitation note 2 *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Feb 12 12:40:13 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12119; Thu, 12 Feb 98 17:41:05 EST Received: from M2-032-15.MIT.EDU by MIT.EDU with SMTP id AA08559; Thu, 12 Feb 98 17:40:32 EST Received: by m2-032-15.MIT.EDU (SMI-8.6/4.7) id RAA08887; Thu, 12 Feb 1998 17:40:13 -0500 Message-Id: <199802122240.RAA08887@m2-032-15.MIT.EDU> To: 6042-staff@theory.lcs Subject: Small typo is recitation note 2 Date: Thu, 12 Feb 1998 17:40:13 EST From: Edmond Kayi Lee First page, part 1, 2nd paragraph after the Theorem 1.1: In the 3rd line, it is missing a ) after A $\cap$ B_n. Edmond  1,, Summary-line: 12-Feb to: 6042-staff [27] #teams probs 2 Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 12 13:53:38 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13369; Thu, 12 Feb 98 18:53:25 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14043; Thu, 12 Feb 98 18:53:38 EST Date: Thu, 12 Feb 98 18:53:38 EST Message-Id: <199802122353.AA14043@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: teams probs 2 Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Thu, 12 Feb 98 18:53:38 EST From: "Albert R. Meyer" To: 6042-staff Subject: teams probs 2 Reply-To: 6042-meyer@theory.lcs.mit.edu The team problems for recitation tomorrow are in /a/class/6.042/spring98/sections/H09-teamprobs2.ps It's just one page. I'll have DAVID RUN OFF 150 COPIES for you to pick up at his office, but some of you (especially ALEX teaching at 9am) will probably have to make your own copies, before David's are ready. The problems are also on the course web page under the "recitation notes" link so you can print them from a browser. (In general, I don't want the problems publicly available before recitation, but am making an exception tonight for your convenience.) Edmond's solution in /a/class/6.042/spring98/sections/rec2Q2sol.ps looks Print yourself a copy for your own use it recitation. Nobody reminded me to tell you the course login name and password, so I'm not bothering to put the soln on the secure "staffonly" web page. Regards, A.  0, unseen,, Summary-line: 12-Feb etara@MIT.EDU [26] #tree test? *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 12 14:01:27 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13515; Thu, 12 Feb 98 19:02:19 EST Received: from DEPARTMENT-OF-ALCHEMY.MIT.EDU by MIT.EDU with SMTP id AA28364; Thu, 12 Feb 98 19:01:46 EST Received: by department-of-alchemy.MIT.EDU (8.8.7/4.7) id TAA23668; Thu, 12 Feb 1998 19:01:28 -0500 (EST) Message-Id: <199802130001.TAA23668@department-of-alchemy.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: tree test? Date: Thu, 12 Feb 1998 19:01:27 EST From: Tara B Schenkel i got a problem set from a student who used a "tree test" for problems 5 and 6, but i can't figure out what he's doing- he started with an expression, manipulated it and wrote down some other stuff, and then said that the tree was either open or closed... can anyone tell me what he's doing? thanks tara  0, unseen,, Summary-line: 12-Feb kylee@MIT.EDU [53] #Re: Tree Test *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Feb 12 16:49:53 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15300; Thu, 12 Feb 98 21:50:46 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA05320; Thu, 12 Feb 98 21:49:56 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id VAA13725; Thu, 12 Feb 1998 21:49:54 -0500 (EST) Message-Id: <199802130249.VAA13725@mint-square.MIT.EDU> To: 6042-staff@theory.lcs Subject: Re: Tree Test Date: Thu, 12 Feb 1998 21:49:53 EST From: Edmond Kayi Lee >i got a problem set from a student who used >a "tree test" for problems 5 and 6, but >i can't figure out what he's doing- he started >with an expression, manipulated it and wrote down >some other stuff, and then said that the tree >was either open or closed... >can anyone tell me what he's doing? > >thanks > >tara Actually I have seen a kind of tree test to test logical equivalence or argument validity in one logic class I have taken. Possibly he is using this method. It is a valid procedure as a test, but I am not sure it should be regarded as a proof. ( I guess it might be, just like we use primality test to prove a number is composite, and we can construct a counterexample from the tree.) Basically what the test is doing is assuming the premises and the negation of conclusion and plug in cases and see if it leads to a contradiction every branch in the tree (closed tree). If it's open, there is a case in which no contradiction occurs, so the premises can imply the negation of a conclusion, which means that it is an invalid argument or not logically equivalent. Assuming he is trying to use the tree test I am talking about. In those two questions, the trees should be open. You may go and check it and gives him a cross if the tree is closed. I should be able to recognize the tree test, so you want me to check it out for you? But still the point is, should we accept it or not even if he uses it correctly? Edmond  0, unseen,, Summary-line: 12-Feb sylee@MIT.EDU [25] #ps3 second draft... *** EOOH *** Mail-from: From sylee@MIT.EDU Thu Feb 12 17:17:44 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15607; Thu, 12 Feb 98 22:18:35 EST Received: from M2-032-12.MIT.EDU by MIT.EDU with SMTP id AA03365; Thu, 12 Feb 98 22:18:02 EST Received: by m2-032-12.MIT.EDU (SMI-8.6/4.7) id WAA15757; Thu, 12 Feb 1998 22:17:44 -0500 Message-Id: <199802130317.WAA15757@m2-032-12.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps3 second draft... Date: Thu, 12 Feb 1998 22:17:44 EST From: SeungYong Albert Lee I have just made a little changes to the first draft of ps3. I took Stas's idea and change the problem 1.. The second draft is now in /a/class/6.042/spring98/psets/ps3_ver2.tex /a/class/6.042/spring98/psets/ps3_ver2.dvi I will replace number 5 as soon as possible... Al  0, unseen,, Summary-line: 12-Feb kylee@MIT.EDU [28] #Error is pset 1 solution *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Feb 12 17:41:08 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15752; Thu, 12 Feb 98 22:42:00 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA07090; Thu, 12 Feb 98 22:41:28 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id WAA17436; Thu, 12 Feb 1998 22:41:09 -0500 (EST) Message-Id: <199802130341.WAA17436@mint-square.MIT.EDU> To: 6042-staff@theory.lcs Subject: Error is pset 1 solution Date: Thu, 12 Feb 1998 22:41:08 EST From: Edmond Kayi Lee Hi, It's a bit late, but I found 2 errors in the solution 1 on the web: 2a) Last two rows of truth table, (p->q)^(q->r) should be T 3) The expression should be (p or q or r) and (not p or not q or not r) Please make the correction if you haven't noticed that. Edmond  0, unseen,, Summary-line: 13-Feb etara@MIT.EDU [24] #recitation attendance *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 12 19:03:25 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16355; Fri, 13 Feb 98 00:04:17 EST Received: from CATHEDRAL-SEVEN.MIT.EDU by MIT.EDU with SMTP id AA20233; Fri, 13 Feb 98 00:03:45 EST Received: by cathedral-seven.MIT.EDU (8.8.7/4.7) id AAA24846; Fri, 13 Feb 1998 00:03:26 -0500 (EST) Message-Id: <199802130503.AAA24846@cathedral-seven.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: recitation attendance Date: Fri, 13 Feb 1998 00:03:25 EST From: Tara B Schenkel could you guys send me the lists of who attended your sections again? and if you get people who are not on your official list (which i just updated again 2-13, 12am), remind them that they need to email me if they want to switch. tara  0, unseen,, Summary-line: 13-Feb to: 6042-staff [22] #final rec2 notes *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 12 20:44:22 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17223; Fri, 13 Feb 98 01:44:08 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16426; Fri, 13 Feb 98 01:44:22 EST Date: Fri, 13 Feb 98 01:44:22 EST Message-Id: <199802130644.AA16426@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: final rec2 notes Reply-To: 6042-meyer@theory.lcs.mit.edu For your convenience, I've edited and incorporated Edmond's team problem 2 soln into the TA notes for Recitation 2. The complete rec2 notes are in /a/class/6.042/spring98/tutorials/H10-rec2.ps and also on the staffonly web page. Regards, A.  1,, Summary-line: 13-Feb to: 6042-staff [23] #[MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 12 21:12:40 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17425; Fri, 13 Feb 98 02:12:27 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16458; Fri, 13 Feb 98 02:12:40 EST Date: Fri, 13 Feb 98 02:12:40 EST Message-Id: <199802130712.AA16458@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] *** EOOH *** Date: Fri, 13 Feb 98 02:12:40 EST From: "Albert R. Meyer" To: 6042-staff Subject: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] From: "Albert R. Meyer" To: kylee@MIT.EDU In-Reply-To: <199802130249.VAA13725@mint-square.MIT.EDU> (message from Edmond Kayi Lee on Thu, 12 Feb 1998 21:49:53 EST) Subject: Re: Tree Test Reply-To: 6042-meyer@theory.lcs.mit.edu But still the point is, should we accept it or not even if he uses it correctly? If we understand it, and the student uses it correctly, then it is surely acceptable. However, if it turns out to be more complex than the elementary approach we expect, then he/she might lose a few points even if the method is applied correctly -- as would be the case with any correct, but overly complex answer. Regards, A.  0, unseen,, Summary-line: 13-Feb to: kylee@MIT.EDU [37] #Re: Error is pset 1 solution *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 12 21:36:50 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17519; Fri, 13 Feb 98 02:36:37 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16477; Fri, 13 Feb 98 02:36:50 EST Date: Fri, 13 Feb 98 02:36:50 EST Message-Id: <199802130736.AA16477@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff In-Reply-To: <199802130341.WAA17436@mint-square.MIT.EDU> (message from Edmond Kayi Lee on Thu, 12 Feb 1998 22:41:08 EST) Subject: Re: Error is pset 1 solution Corrections made on web versions. Thanks, A. Date: Thu, 12 Feb 1998 22:41:08 EST From: Edmond Kayi Lee Hi, It's a bit late, but I found 2 errors in the solution 1 on the web: 2a) Last two rows of truth table, (p->q)^(q->r) should be T 3) The expression should be (p or q or r) and (not p or not q or not r) Please make the correction if you haven't noticed that. Edmond  0, unseen,, Summary-line: 13-Feb dmjones@theory.lcs.mit.ed [15] #Problems for recitation 2 *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Fri Feb 13 05:55:19 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21157; Fri, 13 Feb 98 10:55:56 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA00197; Fri, 13 Feb 98 10:55:19 EST Date: Fri, 13 Feb 98 10:55:19 EST Message-Id: <199802131555.AA00197@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: Problems for recitation 2 The copies of handout 9 are on top of the file cabinet to your left as you walk into my office.  1,, Summary-line: 13-Feb to: 6042-staff [15] #staff pictures from 2/12 Mail-from: From meyer@theory.lcs.mit.edu Fri Feb 13 06:08:52 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21323; Fri, 13 Feb 98 11:08:39 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16707; Fri, 13 Feb 98 11:08:52 EST Date: Fri, 13 Feb 98 11:08:52 EST Message-Id: <199802131608.AA16707@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: staff pictures from 2/12 Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Return-Path: Date: Fri, 13 Feb 98 11:08:52 EST From: "Albert R. Meyer" To: 6042-staff Subject: staff pictures from 2/12 Reply-To: 6042-meyer@theory.lcs.mit.edu http://www.research.lotus.com/ig/homepic.nsf/0da95367b9f051968525648300677a8a/c987c222f2982550852565aa003bd0b2?OpenDocument  0, unseen,, Summary-line: 13-Feb to: 6042-staff [19] #H12-pset2sol.ps *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Feb 13 08:07:37 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23113; Fri, 13 Feb 98 13:07:24 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16805; Fri, 13 Feb 98 13:07:37 EST Date: Fri, 13 Feb 98 13:07:37 EST Message-Id: <199802131807.AA16805@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H12-pset2sol.ps Reply-To: 6042-meyer@theory.lcs.mit.edu My revision of Edmond's pset2sol is now in /a/class/6.042/spring98/psets/H12-pset2sol.ps Regards, A.  0, unseen,, Summary-line: 13-Feb kylee@MIT.EDU [51] #Attendence *** EOOH *** Mail-from: From kylee@MIT.EDU Fri Feb 13 12:38:19 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26752; Fri, 13 Feb 98 17:39:15 EST Received: from M38-370-14.MIT.EDU by MIT.EDU with SMTP id AA24014; Fri, 13 Feb 98 17:38:42 EST Received: by m38-370-14.MIT.EDU (SMI-8.6/4.7) id RAA05810; Fri, 13 Feb 1998 17:38:20 -0500 Message-Id: <199802132238.RAA05810@m38-370-14.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Attendence Date: Fri, 13 Feb 1998 17:38:19 EST From: Edmond Kayi Lee Hi, Today there are still some students missing and some unexpected students, so here is the list: Section 5 ---------- Missing: Bhuyan, Sanjeeb Lal, Prashant (He came to my section 6, and he said he couldn't make 11-1, I've told him to email the staff) McCoy, Kathryn Philip, Mark Extra: Tang, Aileen Section 6 ---------- Missing: Thomson, Brad Extra: Lal, Prashant Chow, Alice Lee, Janet (special student havn't registered yet) I have told those who came to my class to email the staff if they want a change. Edmond  0, unseen,, Summary-line: 13-Feb awchau@MIT.EDU [32] #recitation preference *** EOOH *** Mail-from: From awchau@MIT.EDU Fri Feb 13 12:57:22 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26891; Fri, 13 Feb 98 17:58:15 EST Received: from WESTSIDE.MIT.EDU by MIT.EDU with SMTP id AA15854; Fri, 13 Feb 98 17:57:24 EST Received: by westside.MIT.EDU (SMI-8.6/4.7) id RAA07226; Fri, 13 Feb 1998 17:57:23 -0500 Message-Id: <199802132257.RAA07226@westside.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: recitation preference Date: Fri, 13 Feb 1998 17:57:22 EST From: Alice Chau hi! i would like to attend the 3-5 section (edmond's) if possible.. thanks, alice _____________________________________________________________ a l i c e w c h a u \ O / 5 0 0 m e m o r i a l d r i v e \|/ c a m b r i d g e m a 0 2 1 3 9 ___|___ ( 6 1 7 ) 2 2 5 - 8 7 2 1 http://web.mit.edu/awchau/www/home.html _____________________________________________________________  0, unseen,, Summary-line: 14-Feb to: 6042-staff [35] #group and protection *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sat Feb 14 05:52:01 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01424; Sat, 14 Feb 98 10:51:48 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA17544; Sat, 14 Feb 98 10:52:01 EST Date: Sat, 14 Feb 98 10:52:01 EST Message-Id: <199802141552.AA17544@stork.lcs.mit.edu> From: "Albert R. Meyer" Subject: group and protection To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu For security, the default seetings for files in the 6042 development directory should be: group: 6042-s98 access: rw-rw---- SYLEE, KYLEE: Please accordingly change settings for your pset2 solution and draft pset3 files in the development psets directory when you get a chance. This is largely symbolic, rather than effective -- like latching a hook-and-eye on a screen door. But forcing open a latched screen door is a more serious crime (breaking and entering) than wandering through an open door (trespass), so the symbolism does matter. A more serious security concern is ONLINE GRADE RECORDS: (1) You should regularly backup your records ON PAPER. (2) Grade records should be kept only in CRYPTED FORM on any networked machine. Regards, A.  0, unseen,, Summary-line: 14-Feb to: 6042-staff [19] #recitation 2 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sat Feb 14 05:54:51 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01450; Sat, 14 Feb 98 10:54:37 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA17549; Sat, 14 Feb 98 10:54:51 EST Date: Sat, 14 Feb 98 10:54:51 EST Message-Id: <199802141554.AA17549@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: recitation 2 Reply-To: 6042-meyer@theory.lcs.mit.edu How did the team problems work out in recitation yesterday? Suggested improvements in the rec2 notes or team problems for future terms? Regards, A.  0, unseen,, Summary-line: 16-Feb kylee@mit.edu [21] #Staff meeting tomorrow? *** EOOH *** Mail-from: From kylee@mit.edu Mon Feb 16 06:15:28 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15799; Mon, 16 Feb 98 11:16:22 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id LAA20869; Mon, 16 Feb 1998 11:15:28 -0500 Message-Id: <199802161615.LAA20869@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Staff meeting tomorrow? Date: Mon, 16 Feb 1998 11:15:28 EST From: Edmond Kayi Lee Hi, Are we going to have a staff meeting tomorrow? My available time would be 11-2 and 3-5. Does it work out for you? Edmond  0, unseen,, Summary-line: 16-Feb etara@MIT.EDU [19] #Staff meeting tomorrow? *** EOOH *** Mail-from: From etara@MIT.EDU Mon Feb 16 06:51:55 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16884; Mon, 16 Feb 98 11:52:48 EST Received: from M37-312-14.MIT.EDU by MIT.EDU with SMTP id AA02075; Mon, 16 Feb 98 11:52:15 EST Received: by m37-312-14.MIT.EDU (SMI-8.6/4.7) id LAA02577; Mon, 16 Feb 1998 11:51:56 -0500 Message-Id: <199802161651.LAA02577@m37-312-14.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Staff meeting tomorrow? Date: Mon, 16 Feb 1998 11:51:55 EST From: Tara B Schenkel my free times that overlap with edmond's tomorrow are 11-2 and 4-5. tara  0, unseen,, Summary-line: 16-Feb sylee@MIT.EDU [23] #final draft of ps3.. *** EOOH *** Mail-from: From sylee@MIT.EDU Mon Feb 16 11:10:49 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19975; Mon, 16 Feb 98 16:11:42 EST Received: from W20-575-59.MIT.EDU by MIT.EDU with SMTP id AA08474; Mon, 16 Feb 98 16:10:50 EST Received: by w20-575-59.MIT.EDU (SMI-8.6/4.7) id QAA18229; Mon, 16 Feb 1998 16:10:49 -0500 Message-Id: <199802162110.QAA18229@w20-575-59.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: final draft of ps3.. Date: Mon, 16 Feb 1998 16:10:49 EST From: SeungYong Albert Lee hi.. the final draft is in /a/class/6.042/spring98/psets/ps3_final.tex /a/class/6.042/spring98/psets/ps3_final.dvi the solution will be up in a few hours... Al..  0, unseen,, Summary-line: 16-Feb sylee@MIT.EDU [21] #staff meeting tomorrow? *** EOOH *** Mail-from: From sylee@MIT.EDU Mon Feb 16 12:44:32 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21060; Mon, 16 Feb 98 17:45:25 EST Received: from M38-370-5.MIT.EDU by MIT.EDU with SMTP id AA02223; Mon, 16 Feb 98 17:44:33 EST Received: by m38-370-5.MIT.EDU (SMI-8.6/4.7) id RAA15442; Mon, 16 Feb 1998 17:44:33 -0500 Message-Id: <199802162244.RAA15442@m38-370-5.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: staff meeting tomorrow? Date: Mon, 16 Feb 1998 17:44:32 EST From: SeungYong Albert Lee my available hours are 1-4.. so, how about 1-2 tomorrow? Al...  0, unseen,, Summary-line: 16-Feb to: 6042-staff@theory.lcs [20] #Re: staff meeting tomorrow? *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Feb 16 16:03:57 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22404; Mon, 16 Feb 98 21:03:42 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA19639; Mon, 16 Feb 98 21:03:57 EST Date: Mon, 16 Feb 98 21:03:57 EST Message-Id: <199802170203.AA19639@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802162244.RAA15442@m38-370-5.MIT.EDU> (message from SeungYong Albert Lee on Mon, 16 Feb 1998 17:44:32 EST) Subject: Re: staff meeting tomorrow? Reply-To: 6042-meyer@theory.lcs.mit.edu 1--2 Tuesday sounds good. We don't have 516 reserved then, so meet at my office. Regards, A.  0, unseen,, Summary-line: 16-Feb sylee@MIT.EDU [29] #ps3 ... *** EOOH *** Mail-from: From sylee@MIT.EDU Mon Feb 16 16:57:54 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22740; Mon, 16 Feb 98 21:58:47 EST Received: from M38-370-5.MIT.EDU by MIT.EDU with SMTP id AA17353; Mon, 16 Feb 98 21:57:55 EST Received: by m38-370-5.MIT.EDU (SMI-8.6/4.7) id VAA15788; Mon, 16 Feb 1998 21:57:55 -0500 Message-Id: <199802170257.VAA15788@m38-370-5.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps3 ... Date: Mon, 16 Feb 1998 21:57:54 EST From: SeungYong Albert Lee hi all.. i have put the final draft of my ps3 in /a/class/6.042/spring98/psets/ps3.tex /a/class/6.042/spring98/psets/ps3.dvi and the solution is in /a/class/6.042/spring98/psets/ps3sol.tex /a/class/6.042/spring98/psets/ps3sol.dvi Al.. ps.. the only difference between ps3_final.tex and ps3.tex is number 5 just a little change to make the proof make sense...  0, unseen,, Summary-line: 16-Feb adiaz@MIT.EDU [22] #recitation preference *** EOOH *** Mail-from: From adiaz@MIT.EDU Mon Feb 16 17:25:46 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22964; Mon, 16 Feb 98 22:26:47 EST Received: from W20-575-109.MIT.EDU by MIT.EDU with SMTP id AA08123; Mon, 16 Feb 98 22:26:13 EST Received: by w20-575-109.MIT.EDU (SMI-8.6/4.7) id WAA20200; Mon, 16 Feb 1998 22:25:46 -0500 Message-Id: <199802170325.WAA20200@w20-575-109.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: recitation preference Date: Mon, 16 Feb 1998 22:25:46 EST From: Adalberto Diaz i am a senior in couse 2 and 6 i am adding the class prof. Meyer said i would be excused from first assignment . I am doing it for Meng requirement. i cannot attend the 9-11 or 10-12 11-1( i have a 9-12 lab) or 2-4 or 3-5(major lecture oriented 3 class) . i can only attend 1-3 ideally i would like 4-6 but that isn't an option i guess since it isn't available on web page. i suppose it isn't possible to attend the first hour of one recitation and then attend the 2nd hour of another recitation since there is an evaluation process, however if all that is happening during the first hour is a review type thing and the second is the problem solving then it seams feasible. I would much prefer that. Thankyou.  0, unseen,, Summary-line: 17-Feb amsduran@mit.edu [19] #staff meeting *** EOOH *** Mail-from: From amsduran@NW61-431-1.MIT.EDU Tue Feb 17 05:29:14 1998 Return-Path: Received: from NW61-431-1.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27999; Tue, 17 Feb 98 10:30:07 EST Received: (from amsduran@localhost) by NW61-431-1.MIT.EDU (8.8.5/8.8.5) id KAA00493; Tue, 17 Feb 1998 10:29:14 -0500 From: "Alexander M. S. Duran" Message-Id: <199802171529.KAA00493@NW61-431-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: staff meeting Date: Tue, 17 Feb 1998 10:29:14 EST I probably won't be able to make the meeting time but I can show up after it. --Alex amsduran@mit.edu  0, unseen,, Summary-line: 17-Feb etara@MIT.EDU [26] #recitation scheduling *** EOOH *** Mail-from: From etara@MIT.EDU Tue Feb 17 11:59:02 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04859; Tue, 17 Feb 98 17:00:02 EST Received: from M2-225-2.MIT.EDU by MIT.EDU with SMTP id AA06326; Tue, 17 Feb 98 16:59:25 EST Received: by m2-225-2.MIT.EDU (940816.SGI.8.6.9/4.7) id QAA12333; Tue, 17 Feb 1998 16:59:02 -0500 Message-Id: <199802172159.QAA12333@m2-225-2.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: recitation scheduling Date: Tue, 17 Feb 1998 16:59:02 EST From: Tara B Schenkel Alex, Stas, and Edmond: could you make sure that you email students in sections 1, 4, and 6, (as soon as possible) and tell them that they need to email me with their conflicts (or i'll use their old info sheets) because some of them need to move. and could you cc me so i'll know they got it? thanks tara  0, unseen,, Summary-line: 17-Feb sylee@MIT.EDU [19] #ps3.. *** EOOH *** Mail-from: From sylee@MIT.EDU Tue Feb 17 17:44:25 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09447; Tue, 17 Feb 98 22:45:21 EST Received: from BARKER-5-1.MIT.EDU by MIT.EDU with SMTP id AA27259; Tue, 17 Feb 98 22:44:47 EST Received: by barker-5-1.MIT.EDU (SMI-8.6/4.7) id WAA13026; Tue, 17 Feb 1998 22:44:26 -0500 Message-Id: <199802180344.WAA13026@barker-5-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps3.. Date: Tue, 17 Feb 1998 22:44:25 EST From: SeungYong Albert Lee new ps3 is in /a/class/6.042/spring98/psets/ps3.tex Al..  1,, Summary-line: 18-Feb to: 6042-staff [15] #H12-pset2sol.ps is on the web Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 18 07:24:59 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15397; Wed, 18 Feb 98 12:24:42 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21264; Wed, 18 Feb 98 12:24:59 EST Date: Wed, 18 Feb 98 12:24:59 EST Message-Id: <199802181724.AA21264@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H12-pset2sol.ps is on the web Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 18 Feb 98 12:24:59 EST From: "Albert R. Meyer" To: 6042-staff Subject: H12-pset2sol.ps is on the web Reply-To: 6042-meyer@theory.lcs.mit.edu and H12-pset2sol.tex is in the devel directory.  0, unseen,, Summary-line: 18-Feb dmjones@theory.lcs.mit.ed [38] #[ayyang@MIT.EDU: switching recitations] *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Wed Feb 18 13:39:08 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21831; Wed, 18 Feb 98 18:39:47 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA08368; Wed, 18 Feb 98 18:39:08 EST Date: Wed, 18 Feb 98 18:39:08 EST Message-Id: <199802182339.AA08368@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: [ayyang@MIT.EDU: switching recitations] ------- Start of forwarded message ------- Return-Path: To: 6042-secretary@theory.lcs.mit.edu Subject: switching recitations Date: Wed, 18 Feb 1998 17:03:50 EST From: Alice (Yu) Yang Hi David, I was wondering if I can switch from my old recitation Friday 2-4 with Stanislaw Jarecki into a 9am recitation. I just decided to add a class today so right now 9-11 is the only available time slot i have. I am sorry for making changes this late. Can you please let me know before Thursday??? Thanx so much!!!!!!!! Alice - ---------------------------------------------------------------------------- Alice (Yu) Yang ayyang@mit.edu 410 Memorial Drive, APT 233C (617)225-8236 Cambridge, MA 02139 http://web.mit.edu/ayyang/www/home.html ------- End of forwarded message -------  0, unseen,, Summary-line: 18-Feb dmjones@theory.lcs.mit.ed [17] #New room for staff meetings: NE43-204 *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Wed Feb 18 13:40:11 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21853; Wed, 18 Feb 98 18:40:50 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA08371; Wed, 18 Feb 98 18:40:11 EST Date: Wed, 18 Feb 98 18:40:11 EST Message-Id: <199802182340.AA08371@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: New room for staff meetings: NE43-204 For the rest of the semester, 6.042 staff meetings will be in the 2nd floor conference room (NE43-204) instead of 516. David.  0, unseen,, Summary-line: 19-Feb to: 6042-staff [41] #recitation 3 notes and problems available *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 18 21:49:23 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25616; Thu, 19 Feb 98 02:49:07 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21750; Thu, 19 Feb 98 02:49:23 EST Date: Thu, 19 Feb 98 02:49:23 EST Message-Id: <199802190749.AA21750@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: recitation 3 notes and problems available Reply-To: 6042-meyer@theory.lcs.mit.edu Recitation 3 notes (H14) and team problems (H13) are available in the development sections/ directory and in the web-accessible staffonly/ directory (if you remember the login name and password :-) Copies will be made thurs afternoon, so send any comments/corrections/questions before then. ALEX, I think you're up to produce solutions to team probs 3 (a couple are already included in the notes). I think CURRENT COMMITMENTS are: PS3 soln: Al Lee past due Team Probs 3 soln: Alex 2/23 draft PS4 and soln: Stasio past due final PS4 and soln: Stasio/Albert 2/23 Recitation 4 Notes Albert 2/24 Team Probs 4 soln: (?) 2/25 draft PS5 and soln: Tara(?) 2/24 final PS5 and soln: Tara/Albert 3/2 Recitation 5 Notes: Albert 3/3 Team Probs 5 soln: (?) 3/4 draft PS6 and soln: (?) 3/3 Let me know if I've got you down for the wrong thing. Regards, A.  0, unseen,, Summary-line: 19-Feb to: jones [23] #copies *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 18 21:59:01 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25670; Thu, 19 Feb 98 02:58:44 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21756; Thu, 19 Feb 98 02:59:01 EST Date: Thu, 19 Feb 98 02:59:01 EST Message-Id: <199802190759.AA21756@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: copies 150 copies for Thursday 2pm: H11-pset3.ps (just one sheet, 2 sides) 150 copies for Friday 8:45am H12-pset2sol.ps (uses 5 sides) H13-teamprobs3.ps (just one sheet, 2 sides) Thanks, A.  0, unseen,, Summary-line: 19-Feb dmjones@theory.lcs.mit.ed [34] #Re: copies *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Thu Feb 19 07:22:47 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29973; Thu, 19 Feb 98 12:23:26 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA08772; Thu, 19 Feb 98 12:22:47 EST Date: Thu, 19 Feb 98 12:22:47 EST Message-Id: <199802191722.AA08772@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-meyer@theory.lcs.mit.edu Cc: jones, 6042-staff In-Reply-To: <199802190759.AA21756@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: copies H11 is on your desk. H12 and H13 are on top of the file cabinets just inside my office door and can be picked up any time. David. > Date: Thu, 19 Feb 98 02:59:01 EST > From: "Albert R. Meyer" > Cc: 6042-staff > Reply-To: 6042-meyer@theory.lcs.mit.edu > > 150 copies for Thursday 2pm: > H11-pset3.ps (just one sheet, 2 sides) > > 150 copies for Friday 8:45am > H12-pset2sol.ps (uses 5 sides) > H13-teamprobs3.ps (just one sheet, 2 sides) > > Thanks, A.  0, unseen,, Summary-line: 19-Feb etara@MIT.EDU [28] #number of problem sets *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 19 12:14:48 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04763; Thu, 19 Feb 98 17:15:42 EST Received: from BIOHAZARD-CAFE.MIT.EDU by MIT.EDU with SMTP id AA01476; Thu, 19 Feb 98 17:14:49 EST Received: by biohazard-cafe.MIT.EDU (8.8.7/4.7) id RAA08203; Thu, 19 Feb 1998 17:14:48 -0500 (EST) Message-Id: <199802192214.RAA08203@biohazard-cafe.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: number of problem sets Date: Thu, 19 Feb 1998 17:14:48 EST From: Tara B Schenkel can everyone tell me how many problem set 2's they have (as soon as possible PLEASE). and if anyone has a student on their list who hasn't handed in either problem set or hasn't been coming to recitation, could you let me know please? (i'm trying to estimate who's dropped and hasn't told us about it yet) thanks. tara  0, unseen,, Summary-line: 19-Feb etara@MIT.EDU [27] #problem sets *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 19 12:26:21 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04868; Thu, 19 Feb 98 17:27:20 EST Received: from BIOHAZARD-CAFE.MIT.EDU by MIT.EDU with SMTP id AA05133; Thu, 19 Feb 98 17:26:26 EST Received: by biohazard-cafe.MIT.EDU (8.8.7/4.7) id RAA09085; Thu, 19 Feb 1998 17:26:23 -0500 (EST) Message-Id: <199802192226.RAA09085@biohazard-cafe.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: problem sets Date: Thu, 19 Feb 1998 17:26:21 EST From: Tara B Schenkel does anyone have Richard Li's PS1? (He's in my section now, and I'd like to give it back to him tomorrow) did anyone get a PS2 from Adalberto Diaz? Stas- I have a PS2 from Dennis Kwon, who's one of yours now. (and I got 27 problem set 2's) tara  0, unseen,, Summary-line: 19-Feb sylee@MIT.EDU [38] #problem set 2.. *** EOOH *** Mail-from: From sylee@MIT.EDU Thu Feb 19 12:49:30 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05187; Thu, 19 Feb 98 17:50:24 EST Received: from M38-370-11.MIT.EDU by MIT.EDU with SMTP id AA04195; Thu, 19 Feb 98 17:49:51 EST Received: by m38-370-11.MIT.EDU (SMI-8.6/4.7) id RAA18064; Thu, 19 Feb 1998 17:49:31 -0500 Message-Id: <199802192249.RAA18064@m38-370-11.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: problem set 2.. Date: Thu, 19 Feb 1998 17:49:30 EST From: SeungYong Albert Lee okay.. i found two students neither coming to the recitation nor turning in the problem set 2.. Section 7 : Cao, Ying(yingyang@mit.edu) Davidson, William Spencer(bsdi@mit.edu) Also, there is a student who is not on the main list but coming to my section since last week and she also turn in the problem set 2. Section 7 : Aryananda Lijin If I include Lijin, i have 12 students in section 7 (two missing out of 14) And I have everyone student coming to the recitation and 13 (out of 14) turned in the problem set 2. =====> To Edmond: hey. i have ps2 of Virgil King and Sanjeeb Bhuyan.. What do you want to do with those? let me know.. Al..  0, unseen,, Summary-line: 19-Feb etara@MIT.EDU [21] #pset 2's *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 19 13:43:59 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05791; Thu, 19 Feb 98 18:44:54 EST Received: from BUZZWORD-BINGO.MIT.EDU by MIT.EDU with SMTP id AA16907; Thu, 19 Feb 98 18:44:21 EST Received: by buzzword-bingo.MIT.EDU (8.8.7/4.7) id SAA01483; Thu, 19 Feb 1998 18:43:59 -0500 (EST) Message-Id: <199802192343.SAA01483@buzzword-bingo.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: pset 2's Date: Thu, 19 Feb 1998 18:43:59 EST From: Tara B Schenkel did any one else get ps 2 from Ying Cao or WIlliam Davidson? have either of them been going to anyone else's section? tara  0, unseen,, Summary-line: 19-Feb amsduran@mit.edu [21] #misc. *** EOOH *** Mail-from: From amsduran@NW61-431-1.MIT.EDU Thu Feb 19 13:56:22 1998 Return-Path: Received: from NW61-431-1.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05845; Thu, 19 Feb 98 18:57:17 EST Received: (from amsduran@localhost) by NW61-431-1.MIT.EDU (8.8.5/8.8.5) id SAA01352; Thu, 19 Feb 1998 18:56:22 -0500 From: "Alexander M. S. Duran" Message-Id: <199802192356.SAA01352@NW61-431-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: misc. Date: Thu, 19 Feb 1998 18:56:22 EST Does anyone have Virgil King's ps 1? William Spencer Davidson showed up to my recitation last friday, but he said he intends to attend the proper one normally or get it moved. --Alex amsduran@mit.edu  0, unseen,, Summary-line: 19-Feb dmjones@theory.lcs.mit.ed [18] #Handouts for tomorrow's recitations *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Thu Feb 19 14:39:06 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06122; Thu, 19 Feb 98 19:39:45 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA09267; Thu, 19 Feb 98 19:39:06 EST Date: Thu, 19 Feb 98 19:39:06 EST Message-Id: <199802200039.AA09267@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: Handouts for tomorrow's recitations I've moved the two handouts for this week's recitations to the top of the file cabinets outside my door to the right, so you can get to them up even if my office door is locked. David.  0, unseen,, Summary-line: 19-Feb kylee@MIT.EDU [31] #Re: number of problem sets *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Feb 19 15:01:43 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06298; Thu, 19 Feb 98 20:02:41 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA09184; Thu, 19 Feb 98 20:01:47 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id UAA12248; Thu, 19 Feb 1998 20:01:44 -0500 (EST) Message-Id: <199802200101.UAA12248@mint-square.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Re: number of problem sets In-Reply-To: Your message of "Thu, 19 Feb 1998 17:14:48 EST." <199802192214.RAA08203@biohazard-cafe.MIT.EDU> Date: Thu, 19 Feb 1998 20:01:43 EST From: Edmond Kayi Lee I got 29 homeworks. Extra studetns: Janet Lee (Not in the student list) Peter Finin (section 1) Hoiwai Cheng (section 2) I am missing 1 problem set from a studentt: Virgil King Anyone has that? Edmond  0, unseen,, Summary-line: 19-Feb etara@MIT.EDU [38] #section scheduling *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 19 15:26:12 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06565; Thu, 19 Feb 98 20:27:06 EST Received: from M2-225-8.MIT.EDU by MIT.EDU with SMTP id AA05973; Thu, 19 Feb 98 20:26:32 EST Received: by m2-225-8.MIT.EDU (940816.SGI.8.6.9/4.7) id UAA09385; Thu, 19 Feb 1998 20:26:12 -0500 Message-Id: <199802200126.UAA09385@m2-225-8.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: section scheduling Date: Thu, 19 Feb 1998 20:26:12 EST From: Tara B Schenkel could you guys all make sure you have the latest copy of recitation assignments with you tomorrow, and if anyone comes to your section who's not on your list, ask them if they have a conflict with their scheduled time. if they don't, tell them they HAVE to go to that section. if they do have a conflict with their assigned time, get a list of all the times they do have available for recitation, and email it to me. (it doesn't seem to work if you just ask them to email me, since some of you did that last week and i didn't hear from some student who i think may still need to switch). please stress the fact that what's on the web is official, regardless of where they've been going, or who they handed in their psets to. i'd really like to get this scheduling resolved... thanks. tara  0, unseen,, Summary-line: 19-Feb kylee@MIT.EDU [27] #Error in problem set 2 solution *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Feb 19 16:52:32 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07165; Thu, 19 Feb 98 21:53:32 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA20653; Thu, 19 Feb 98 21:52:58 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id VAA22460; Thu, 19 Feb 1998 21:52:35 -0500 (EST) Message-Id: <199802200252.VAA22460@mint-square.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Error in problem set 2 solution Date: Thu, 19 Feb 1998 21:52:32 EST From: Edmond Kayi Lee Hi, I just found an error in the solution when I was grading one student's homework: Problem 3: We should check for base case for u_0 and u_1, since the recurrence depends on two previous terms. This is quite a bad bug. I am sorry I did not think of that when I was making the solution. Edmond  0, unseen,, Summary-line: 19-Feb to: kylee@MIT.EDU [39] #Re: Error in problem set 2 solution *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 19 17:49:48 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07647; Thu, 19 Feb 98 22:49:52 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA22642; Thu, 19 Feb 98 22:49:48 EST Date: Thu, 19 Feb 98 22:49:48 EST Message-Id: <199802200349.AA22642@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802200252.VAA22460@mint-square.MIT.EDU> (message from Edmond Kayi Lee on Thu, 19 Feb 1998 21:52:32 EST) Subject: Re: Error in problem set 2 solution Reply-To: 6042-meyer@theory.lcs.mit.edu You made an error, but not such a terrible one. Anyway, I fixed it on the web page. Thanks, A. Date: Thu, 19 Feb 1998 21:52:32 EST From: Edmond Kayi Lee Hi, I just found an error in the solution when I was grading one student's homework: Problem 3: We should check for base case for u_0 and u_1, since the recurrence depends on two previous terms. This is quite a bad bug. I am sorry I did not think of that when I was making the solution. Edmond  0, unseen,, Summary-line: 20-Feb etara@MIT.EDU [24] #Richard Li's PS1 *** EOOH *** Mail-from: From etara@MIT.EDU Fri Feb 20 07:14:58 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14217; Fri, 20 Feb 98 12:15:55 EST Received: from M37-312-38.MIT.EDU by MIT.EDU with SMTP id AA14890; Fri, 20 Feb 98 12:14:57 EST Received: by m37-312-38.MIT.EDU (940816.SGI.8.6.9/4.7) id MAA29681; Fri, 20 Feb 1998 12:14:58 -0500 Message-Id: <199802201714.MAA29681@m37-312-38.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Richard Li's PS1 Date: Fri, 20 Feb 1998 12:14:58 EST From: Tara B Schenkel one of you has Richard Li's PS1, and i really wanted to get it back to him today... can you please check and tell me if you have it? thanks tara  0, unseen,, Summary-line: 20-Feb kylee@MIT.EDU [36] #Attendance *** EOOH *** Mail-from: From kylee@MIT.EDU Fri Feb 20 12:11:29 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06007; Fri, 20 Feb 98 17:12:26 EST Received: from M38-370-12.MIT.EDU by MIT.EDU with SMTP id AA19197; Fri, 20 Feb 98 17:11:30 EST Received: by m38-370-12.MIT.EDU (SMI-8.6/4.7) id RAA18112; Fri, 20 Feb 1998 17:11:29 -0500 Message-Id: <199802202211.RAA18112@m38-370-12.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Attendance Date: Fri, 20 Feb 1998 17:11:29 EST From: Edmond Kayi Lee Hi, Two "unexpected" students showed up in my 3-5 section. They said they had a time conflict and I have asked them to state their preferences: Name Preference Bhuyan, Sanjeeb: 1. 9-11 2. 3-5 Lal, Prashant Any time 2-4 or 3-5 A student, Brad Thompson, is consistently missing in my section. Anybody seen him in your section? Thanks, Edmond  0, unseen,, Summary-line: 20-Feb kylee@MIT.EDU [20] #Problem set 1 *** EOOH *** Mail-from: From kylee@MIT.EDU Fri Feb 20 12:14:17 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06037; Fri, 20 Feb 98 17:15:12 EST Received: from M38-370-12.MIT.EDU by MIT.EDU with SMTP id AA19942; Fri, 20 Feb 98 17:14:18 EST Received: by m38-370-12.MIT.EDU (SMI-8.6/4.7) id RAA18121; Fri, 20 Feb 1998 17:14:18 -0500 Message-Id: <199802202214.RAA18121@m38-370-12.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Problem set 1 Date: Fri, 20 Feb 1998 17:14:17 EST From: Edmond Kayi Lee Has anyone graded Michael Bryzek's problem set? If yes, can you give it to me next lecture? Thanks, Edmond  1,, Summary-line: 21-Feb to: 6042-staff [31] #[stasio@theory.lcs.mit.edu: ps4] Mail-from: From meyer@theory.lcs.mit.edu Sat Feb 21 12:34:06 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12359; Sat, 21 Feb 98 17:33:49 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA24085; Sat, 21 Feb 98 17:34:06 EST Date: Sat, 21 Feb 98 17:34:06 EST Message-Id: <199802212234.AA24085@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: [stasio@theory.lcs.mit.edu: ps4] *** EOOH *** Date: Sat, 21 Feb 98 17:34:06 EST From: "Albert R. Meyer" To: 6042-staff Subject: [stasio@theory.lcs.mit.edu: ps4] I'm leaving my house now; perhaps one of you has time to answer this. Thanks, A. ------- Start of forwarded message ------- From: stasio@theory.lcs.mit.edu (Stanislaw Jarecki) Date: Sat, 21 Feb 98 16:50:53 EST To: meyer Subject: ps4 Hi Albert, sorry for being late with this. I have a proposal in file ps4-del.tex in directory /psets in our 6.042/spring98 directory. It has a few comments to you and proposals. I will come back this evening to see if you sent anything back and i'll be here tomorrow all day. Stas ------- End of forwarded message -------  0, unseen,, Summary-line: 21-Feb to: gangan@MIT.EDU [58] #Re: 042 Question *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sat Feb 21 18:38:26 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13849; Sat, 21 Feb 98 23:38:09 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA24244; Sat, 21 Feb 98 23:38:26 EST Date: Sat, 21 Feb 98 23:38:26 EST Message-Id: <199802220438.AA24244@stork.lcs.mit.edu> From: "Albert R. Meyer" To: gangan@MIT.EDU In-Reply-To: <3.0.2.32.19980221165843.00deebc8@po7.mit.edu> (message from Terence Gan on Sat, 21 Feb 1998 16:58:43 -0500) Subject: Re: 042 Question Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu X-Sender: gangan@po7.mit.edu X-Mailer: QUALCOMM Windows Eudora Pro Version 3.0.2 (32) Date: Sat, 21 Feb 1998 16:58:43 -0500 From: Terence Gan Hi Prof Meyer, For Problem 4b, what is meant by none of the vertices of G is an even number? Are you referring to the degree of the vertices? NO Also (e) "One of the vertices is also an edge of G" ?? How is a vertex an edge at the same time? A GRAPH IS AN ABSTRACT DATA TYPE; what its vertices are "made of" is its own business. For example, suppose you wanted to represent a graph in Scheme; it would be perfectly OK to use integers, or even integers, or lists of something or other, as vertices. (You would also have to somehow record which vertices were connected by an edge.) In fact, you could have a graph whose vertices were the integers 1 and 2 along with all sets contained in {1,2} -- a total of 2 + 2^2 = 6 vertices. If the graph had an edge between vertices 1 and 2, then this edge -- which in the case of simple graphs is officially specified to be the set {1,2} of the two vertices it connects -- happens also to be a vertex. For Problem 1c, how does a Qn graph grow? Does a Q4 graph add a square face to the 100-101-110-111 face or some other face? Am I right to say that a Qn graph has 4*(n-1) vertices for n>2 ? QN IS THE HYPERCUBE: its vertices are all the n-tuples of 0's and 1's. It has a lot more than 4(n-1) vertices for n>=4. Thanks in advance. Regards, Terence P.S. You'll likely get quicker response if you address pset queries to 6042-staff@theory.lcs.mit.edu which goes to me AND the TA's and Course Assistants.  0, unseen,, Summary-line: 22-Feb joycelin@MIT.EDU [26] # *** EOOH *** Mail-from: From joycelin@MIT.EDU Sat Feb 21 21:25:31 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14374; Sun, 22 Feb 98 02:25:25 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA10101; Sun, 22 Feb 98 02:24:30 EST Received: from HUNK-OF-JUNK.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA17088; Sun, 22 Feb 98 02:24:30 EST Message-Id: <2.2.32.19980222072531.006d62bc@po9.mit.edu> X-Sender: joycelin@po9.mit.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Sun, 22 Feb 1998 02:25:31 -0500 To: 6042-staff@theory.lcs.mit.edu From: Joyce Lin Subject: Hi, I have a question about #4e. Can you please explain how a vertex can also be an edge? I thought that they were different, just by the basic definitions of each. -Joyce  0, unseen,, Summary-line: 22-Feb to: joycelin@MIT.EDU [59] #vertex is an edge *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sun Feb 22 07:21:37 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16000; Sun, 22 Feb 98 12:21:18 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA24452; Sun, 22 Feb 98 12:21:37 EST Date: Sun, 22 Feb 98 12:21:37 EST Message-Id: <199802221721.AA24452@stork.lcs.mit.edu> From: "Albert R. Meyer" To: joycelin@MIT.EDU In-Reply-To: <2.2.32.19980222072531.006d62bc@po9.mit.edu> (message from Joyce Lin on Sun, 22 Feb 1998 02:25:31 -0500) Subject: vertex is an edge Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu X-Sender: joycelin@po9.mit.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Date: Sun, 22 Feb 1998 02:25:31 -0500 From: Joyce Lin Hi, I have a question about #4e. Can you please explain how a vertex can also be an edge? I thought that they were different, just by the basic definitions of each. -Joyce A GRAPH IS AN ABSTRACT DATA TYPE; what its vertices are "made of" is its own business. For example, suppose you wanted to represent a graph in Scheme; it would be perfectly OK to use integers, or odd positive integers, or lists of something or other, as vertices. (You would also have to somehow record which vertices were connected by an edge.) In fact, you could have a graph whose vertices were the integers 1 and 2 along with all sets contained in {1,2} -- a total of 2 + 2^2 = 6 vertices. If the graph had an edge between vertices 1 and 2, then this edge -- which in the case of simple graphs is officially specified to be the set {1,2} of the two vertices it connects -- happens also to be a vertex. Regards, A.From sylee@MIT.EDU Sun Feb 22 18:08:29 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20075; Sun, 22 Feb 98 23:09:25 EST Received: from W20-575-53.MIT.EDU by MIT.EDU with SMTP id AA20604; Sun, 22 Feb 98 23:08:30 EST Received: by w20-575-53.MIT.EDU (SMI-8.6/4.7) id XAA16775; Sun, 22 Feb 1998 23:08:29 -0500 Message-Id: <199802230408.XAA16775@w20-575-53.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps3 sol... Date: Sun, 22 Feb 1998 23:08:29 EST From: SeungYong Albert Lee ps3 sol is in the devel directory now... /a/class/6.042/spring98/psets/ps3sol.* Al..  0, unseen,, Summary-line: 23-Feb kylee@MIT.EDU [60] #Recitation mailing list *** EOOH *** Mail-from: From kylee@MIT.EDU Sun Feb 22 20:04:08 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20868; Mon, 23 Feb 98 01:05:04 EST Received: from W20-575-73.MIT.EDU by MIT.EDU with SMTP id AA10569; Mon, 23 Feb 98 01:04:31 EST Received: by w20-575-73.MIT.EDU (SMI-8.6/4.7) id BAA20351; Mon, 23 Feb 1998 01:04:08 -0500 Message-Id: <199802230604.BAA20351@w20-575-73.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Recitation mailing list Date: Mon, 23 Feb 1998 01:04:08 EST From: Edmond Kayi Lee Hi, I am thinking of creating a mailing list of the students at theory. Can somebody tell me the procedure to do that? Edmond **************************************************************************** 6042-sec5: barkalow@mit.edu skbhuyan@mit.edu btb@mit.edu hoiwai@mit.edu dbrant@mit.edu maciej@mit.edu aduggan@mit.edu wanger@mit.edu plal@mit.edu leeying@mit.edu jsrobert@mit.edu uschafer@mit.edu aileen@mit.edu cvince@mit.edu 6042-sec6: benchun@mit.edu mfreed@mit.edu goyal@mit.edu liberal@mit.edu josh@mit.edu vking@mit.edu eklee@mit.edu pmukerji@mit.edu jonr@mit.edu jschmidt@mit.edu jsharma@mit.edu yak@mit.edu kwalker@mit.edu jwhitney@mit.edu  0, unseen,, Summary-line: 23-Feb etara@MIT.EDU [24] #problem sets 1 and 2 *** EOOH *** Mail-from: From etara@MIT.EDU Mon Feb 23 18:13:37 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05015; Mon, 23 Feb 98 23:14:35 EST Received: from NO-KNIFE.MIT.EDU by MIT.EDU with SMTP id AA25943; Mon, 23 Feb 98 23:13:39 EST Received: by no-knife.MIT.EDU (8.8.7/4.7) id XAA03883; Mon, 23 Feb 1998 23:13:37 -0500 (EST) Message-Id: <199802240413.XAA03883@no-knife.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: problem sets 1 and 2 Date: Mon, 23 Feb 1998 23:13:37 EST From: Tara B Schenkel could everyone bring all the ps 1's AND 2's that they currently have in their possession, and a list of all the ps 1's and 2's that they've returned to students to the staff meeting, so we can get them sorted out correctly and hopefully find the ones that seem to be lost... thanks. tara  0, unseen,, Summary-line: 24-Feb to: 6042-staff [16] #H15-pset4.ps *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Feb 24 04:59:28 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09847; Tue, 24 Feb 98 09:59:17 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA11746; Tue, 24 Feb 98 09:59:28 EST Date: Tue, 24 Feb 98 09:59:28 EST Message-Id: <199802241459.AA11746@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H15-pset4.ps Reply-To: 6042-meyer@theory.lcs.mit.edu is on the course page. Regards, A.  0, unseen,, Summary-line: 24-Feb to: 6042-staff [51] #FYI re late psets *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Feb 24 13:08:16 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16478; Tue, 24 Feb 98 18:07:56 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12265; Tue, 24 Feb 98 18:08:16 EST Date: Tue, 24 Feb 98 18:08:16 EST Message-Id: <199802242308.AA12265@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: FYI re late psets ------- Start of forwarded message ------- Date: Tue, 24 Feb 98 18:07:32 EST From: "Albert R. Meyer" To: brians@mit.edu Cc: amsduran@mit.edu, etara@mit.edu, 6042-meyer@theory.lcs.mit.edu In-Reply-To: <199802242232.RAA28149@istari.mit.edu> (message from Brian T Sniffen on Tue, 24 Feb 1998 17:32:56 EST) Subject: Re: Problem Set 3 Reply-To: 6042-meyer@theory.lcs.mit.edu You luck out: PS3 solution is not expected out till tomorrow morn, and Tara and Alex have not finished grading PS3. So if you can get the three late submissions to them, before the solution goes on the web, and without inconveniencing them in any way (that is, bring them the psets without requiring them to make any special trip to pick them up), I will recommend that they accept and grade the late submissions. Yours truly, Prof. Albert R. Meyer MIT Lab. for Computer Science From: Brian T Sniffen Cc: 6042-meyer@theory.lcs.mit.edu Date: Tue, 24 Feb 1998 17:32:56 EST Last night, three students pulled an all-nighter trying to get this problem set done. Two of them went to bed, and I volunteered to stay awake and turn it in. That didn't happen. The problem sets have been in my backpack since about noon, untouched. I know course policy is not to accept late problem sets at all, but I would like to know if anything can be done for the other two. They are Jim Waldrop (jlwfnord) and Rachel Greenstadt (greenie) both from Tara Schenkel's recitation. Thanks, Brian Sniffen ------- End of forwarded message -------  0, unseen,, Summary-line: 24-Feb kylee@MIT.EDU [19] #Revised PS3 solution... *** EOOH *** Mail-from: From kylee@MIT.EDU Tue Feb 24 15:11:19 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17665; Tue, 24 Feb 98 20:12:15 EST Received: from M38-370-2.MIT.EDU by MIT.EDU with SMTP id AA15432; Tue, 24 Feb 98 20:11:19 EST Received: by m38-370-2.MIT.EDU (SMI-8.6/4.7) id UAA03374; Tue, 24 Feb 1998 20:11:19 -0500 Message-Id: <199802250111.UAA03374@m38-370-2.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Revised PS3 solution... Date: Tue, 24 Feb 1998 20:11:19 EST From: Edmond Kayi Lee ... is now on the staff page, or under the psets directory as ps3sol.ps Edmond  0, unseen,, Summary-line: 25-Feb sylee@MIT.EDU [17] #ps3 sol... *** EOOH *** Mail-from: From sylee@MIT.EDU Wed Feb 25 11:20:18 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28398; Wed, 25 Feb 98 16:21:16 EST Received: from W20-575-39.MIT.EDU by MIT.EDU with SMTP id AA14485; Wed, 25 Feb 98 16:20:19 EST Received: by w20-575-39.MIT.EDU (SMI-8.6/4.7) id QAA18457; Wed, 25 Feb 1998 16:20:18 -0500 Message-Id: <199802252120.QAA18457@w20-575-39.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps3 sol... Date: Wed, 25 Feb 1998 16:20:18 EST From: SeungYong Albert Lee ps3 solution is now fixed and on the course web page... Al..  0, unseen,, Summary-line: 26-Feb to: 6042-staff [22] #H17-rec4.ps *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 25 20:38:39 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03670; Thu, 26 Feb 98 01:38:19 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14745; Thu, 26 Feb 98 01:38:39 EST Date: Thu, 26 Feb 98 01:38:39 EST Message-Id: <199802260638.AA14745@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H17-rec4.ps Reply-To: 6042-meyer@theory.lcs.mit.edu Notes and Team problems and soln's for Recitation 4 are now on the staffonly webpage and in the devel sections/ directory. Take a look and let me know if you have any questions. (STAS, you'll have to ask someone who was at the staff mtng Tuesday to fill you in on "Think-a-dot.") Regards, A.  0, unseen,, Summary-line: 26-Feb to: 6042-staff [15] #make that H19 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Feb 25 20:41:44 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03706; Thu, 26 Feb 98 01:41:24 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14756; Thu, 26 Feb 98 01:41:44 EST Date: Thu, 26 Feb 98 01:41:44 EST Message-Id: <199802260641.AA14756@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: make that H19 H19-rec4.tex .ps Regards, A.  0, unseen,, Summary-line: 26-Feb to: jones [31] #H17--19 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 26 07:35:34 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08379; Thu, 26 Feb 98 12:35:53 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA15091; Thu, 26 Feb 98 12:35:34 EST Date: Thu, 26 Feb 98 12:35:34 EST Message-Id: <199802261735.AA15091@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Subject: H17--19 Reply-To: 6042-meyer@theory.lcs.mit.edu Team problems 4 are in devel dir sections/H18-teamprobs4.ps (tex). Also on staffonly web page. Print 150 copies for recitations tomorrow (one 2-sided sheet). TA Notes for recitation 4 are in devel dir sections/H19-rec4.ps (tex) and staff web page. Print 10 copies and leave them for the staff to pick up if they wish. Notes for today's lecture, is in PUBLIC dir lectures/H17-marriage.ps and on the course web page. Also print 150 copies (8 sides) for recitation tomorrow. Thanks, A.  0, unseen,, Summary-line: 26-Feb dmjones@theory.lcs.mit.ed [43] #Re: H17--19 *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Thu Feb 26 08:23:18 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09024; Thu, 26 Feb 98 13:23:59 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA06153; Thu, 26 Feb 98 13:23:18 EST Date: Thu, 26 Feb 98 13:23:18 EST Message-Id: <199802261823.AA06153@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff In-Reply-To: <199802261735.AA15091@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: H17--19 All of these, as well as the problem set solutions for today's lecture, are on top of the file cabinets outside my office door. David. > Date: Thu, 26 Feb 98 12:35:34 EST > From: "Albert R. Meyer" > Cc: 6042-staff > Reply-To: 6042-meyer@theory.lcs.mit.edu > > Team problems 4 are in devel dir > sections/H18-teamprobs4.ps (tex). > Also on staffonly web page. Print 150 copies for recitations tomorrow > (one 2-sided sheet). > > TA Notes for recitation 4 are in devel dir > sections/H19-rec4.ps (tex) > and staff web page. Print 10 copies and leave them for the staff to pick > up if they wish. > > Notes for today's lecture, is in PUBLIC dir > lectures/H17-marriage.ps > and on the course web page. Also print 150 copies (8 sides) for > recitation tomorrow. > > Thanks, A. >  0, unseen,, Summary-line: 26-Feb etara@MIT.EDU [35] #comments on rec 4 notes *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 26 14:18:33 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13661; Thu, 26 Feb 98 19:19:31 EST Received: from TEN-THOUSAND-DOLLAR-BILL.MIT.EDU by MIT.EDU with SMTP id AA23155; Thu, 26 Feb 98 19:18:34 EST Received: by ten-thousand-dollar-bill.MIT.EDU (8.8.7/4.7) id TAA18964; Thu, 26 Feb 1998 19:18:33 -0500 (EST) Message-Id: <199802270018.TAA18964@ten-thousand-dollar-bill.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: comments on rec 4 notes Date: Thu, 26 Feb 1998 19:18:33 EST From: Tara B Schenkel first, i don't think the first invariant given for the 15 puzzle works to prove this particular case, since the parity of both the initial and the desired final states are both even. (the second invariant seems to work though) also, i was wondering why we're presenting a different definition of antichain than the one given in the book (every 2 elements are incomparable), and the one in last year's lecture notes (there's no path between any 2 elements, which is equivalent to being incomparable) what's stated in the handout directly contradicts the normal definition of antichain ("some courses in the antichain may be indirect prerequisites of others in the antichain") do we have a good reason for doing this? tara  0, unseen,, Summary-line: 26-Feb to: etara@MIT.EDU [43] #Re: comments on rec 4 notes *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 26 15:11:59 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14109; Thu, 26 Feb 98 20:11:38 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16019; Thu, 26 Feb 98 20:11:59 EST Date: Thu, 26 Feb 98 20:11:59 EST Message-Id: <199802270111.AA16019@stork.lcs.mit.edu> From: "Albert R. Meyer" To: etara@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802270018.TAA18964@ten-thousand-dollar-bill.MIT.EDU> (message from Tara B Schenkel on Thu, 26 Feb 1998 19:18:33 EST) Subject: Re: comments on rec 4 notes Reply-To: 6042-meyer@theory.lcs.mit.edu first, i don't think the first invariant given for the 15 puzzle works to prove this particular case, since the parity of both the initial and the desired final states are both even. (the second invariant seems to work though) Am I missing something: with final pattern 15 14 ...2 1 blank the blanl is on color and all the others are not, yielding 15 color clashes: odd. also, i was wondering why we're presenting a different definition of antichain than the one given in the book (every 2 elements are incomparable), and the one in last year's lecture notes (there's no path between any 2 elements, which is equivalent to being incomparable) what's stated in the handout directly contradicts the normal definition of antichain ("some courses in the antichain may be indirect prerequisites of others in the antichain") do we have a good reason for doing this? No good reason, and we should stick to the standard. I'll revise the notes immediately. Thanks, A.  1,, Summary-line: 26-Feb to: etara@MIT.EDU [32] #Re: antichain proof Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 26 15:15:04 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14133; Thu, 26 Feb 98 20:14:43 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16022; Thu, 26 Feb 98 20:15:04 EST Date: Thu, 26 Feb 98 20:15:04 EST Message-Id: <199802270115.AA16022@stork.lcs.mit.edu> From: "Albert R. Meyer" To: etara@MIT.EDU In-Reply-To: <199802270020.TAA19006@ten-thousand-dollar-bill.MIT.EDU> (message from Tara B Schenkel on Thu, 26 Feb 1998 19:20:09 EST) Subject: Re: antichain proof Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Return-Path: Date: Thu, 26 Feb 98 20:15:04 EST From: "Albert R. Meyer" To: etara@MIT.EDU In-Reply-To: <199802270020.TAA19006@ten-thousand-dollar-bill.MIT.EDU> (message from Tara B Schenkel on Thu, 26 Feb 1998 19:20:09 EST) Subject: Re: antichain proof Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Date: Thu, 26 Feb 1998 19:20:09 EST From: Tara B Schenkel i wasn't clear on whether you wanted us to present this proof (of Theorem 0.1 in rec 4 notes) to the students, or just explain by showing an example. tara Mainly explain: illustrate with example and define the general solution A0 A1 ..., but skip the routine picky proof of the pretty obvious fact that A0 A1 A2 is a feasible schedule. Regards, A.  0, unseen,, Summary-line: 26-Feb etara@MIT.EDU [57] #15 puzzle *** EOOH *** Mail-from: From etara@MIT.EDU Thu Feb 26 15:25:56 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14223; Thu, 26 Feb 98 20:26:54 EST Received: from M1-142-24.MIT.EDU by MIT.EDU with SMTP id AA04022; Thu, 26 Feb 98 20:26:20 EST Received: by m1-142-24.MIT.EDU (940816.SGI.8.6.9/4.7) id UAA16552; Thu, 26 Feb 1998 20:25:56 -0500 Message-Id: <199802270125.UAA16552@m1-142-24.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: 15 puzzle Date: Thu, 26 Feb 1998 20:25:56 EST From: Tara B Schenkel so this is my understanding of the problem and first invariant... am i doing something wrong? if you color the board like this: 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 and assign the same colors to the numbers in the starting order, then 1 0 2 1 3 0 4 1 5 1 6 0 7 1 8 0 9 0 10 1 11 0 12 1 13 1 14 0 15 1 B 0 when you have 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 B there are 12 mismatches (and 4 matches: 12, 8, 4, and B)  0, unseen,, Summary-line: 26-Feb to: 6042-staff [25] #H19-rec4 saved by Tara *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Feb 26 15:48:22 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14360; Thu, 26 Feb 98 20:48:02 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16094; Thu, 26 Feb 98 20:48:22 EST Date: Thu, 26 Feb 98 20:48:22 EST Message-Id: <199802270148.AA16094@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H19-rec4 saved by Tara Reply-To: 6042-meyer@theory.lcs.mit.edu Final version of rec 4 notes is on staffonly web page and devel sections/ dir. It includes * the corrected def of antichain Tara pointed out, * the corrected solution to the 15 puzzle based on inversions in a permutation, * the invariants and (easy) correctness proof for extended Euclid -- which we planned not to do, but you're certainly welcome to do if you'd rather use it than the now-trickier 15 puzzle invariant. Regards, A.  1,, Summary-line: 26-Feb etara@MIT.EDU [19] #ps5 Mail-from: From etara@MIT.EDU Thu Feb 26 16:13:52 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14614; Thu, 26 Feb 98 21:14:50 EST Received: from M1-142-24.MIT.EDU by MIT.EDU with SMTP id AA12207; Thu, 26 Feb 98 21:14:16 EST Received: by m1-142-24.MIT.EDU (940816.SGI.8.6.9/4.7) id VAA16628; Thu, 26 Feb 1998 21:13:52 -0500 Message-Id: <199802270213.VAA16628@m1-142-24.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps5 Date: Thu, 26 Feb 1998 21:13:52 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: ps5 Date: Thu, 26 Feb 1998 21:13:52 EST From: Tara B Schenkel i have a second draft ps5 and solution in the devel directory. tara  0, unseen,, Summary-line: 26-Feb stasio@mit.edu [26] #rec4 *** EOOH *** Mail-from: From stasio@mit.edu Thu Feb 26 16:15:37 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14641; Thu, 26 Feb 98 21:16:33 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id VAA06100; Thu, 26 Feb 1998 21:15:37 -0500 (EST) Date: Thu, 26 Feb 1998 21:15:37 -0500 (EST) Message-Id: <199802270215.VAA06100@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: rec4 a propos the 15 puzzle: the number of inversions doesnt change by three: rather, three pairs switch their inversion relation: from 0 to 3, from 1 to 2 from 2 to 1 from 3 to 0 so the difference is either 3 or 1: anyway, it's odd and that's the point.  0, unseen,, Summary-line: 27-Feb sylee@MIT.EDU [44] #easier invariant for 15 puzzle. *** EOOH *** Mail-from: From sylee@MIT.EDU Thu Feb 26 19:35:10 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16055; Fri, 27 Feb 98 00:36:08 EST Received: from BUZZWORD-BINGO.MIT.EDU by MIT.EDU with SMTP id AA15366; Fri, 27 Feb 98 00:35:34 EST Received: by buzzword-bingo.MIT.EDU (8.8.7/4.7) id AAA06416; Fri, 27 Feb 1998 00:35:10 -0500 (EST) Message-Id: <199802270535.AAA06416@buzzword-bingo.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: easier invariant for 15 puzzle. Date: Fri, 27 Feb 1998 00:35:10 EST From: SeungYong Albert Lee instead of coloring the board suggested previously, let's color each column with the same color.. 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 the horizontal exchange is the same as before, and the vertical exchange doesn't change the parity at all.. Then, 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 B has 16 matches and 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 B has only 1 match.. so it works!!!! What do you guys think? Al..  0, unseen,, Summary-line: 27-Feb stasio@MIT.EDU [62] #Re: easier invariant for 15 puzzle. *** EOOH *** Mail-from: From stasio@mit.edu Thu Feb 26 19:45:35 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16110; Fri, 27 Feb 98 00:47:12 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id AAA06362; Fri, 27 Feb 1998 00:45:35 -0500 (EST) Date: Fri, 27 Feb 1998 00:45:35 -0500 (EST) Message-Id: <199802270545.AAA06362@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: sylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199802270535.AAA06416@buzzword-bingo.MIT.EDU> (message from SeungYong Albert Lee on Fri, 27 Feb 1998 00:35:10 EST) Subject: Re: easier invariant for 15 puzzle. Date: Fri, 27 Feb 1998 00:35:10 EST From: SeungYong Albert Lee instead of coloring the board suggested previously, let's color each column with the same color.. 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 the horizontal exchange is the same as before, and the vertical exchange doesn't change the parity at all.. Then, 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 B has 16 matches and 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 B has only 1 match.. so it works!!!! This last one has also 16 matches! You just exchanged 1st and 3rd column and permuted their entries. So it doesnt work. The following doesn't work either: 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 because this: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 B would have 4 matches (the whole 4th column)  0, unseen,, Summary-line: 27-Feb kylee@mit.edu [25] #Partial Ordering *** EOOH *** Mail-from: From kylee@mit.edu Thu Feb 26 20:12:17 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16332; Fri, 27 Feb 98 01:13:16 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id BAA09085; Fri, 27 Feb 1998 01:12:18 -0500 Message-Id: <199802270612.BAA09085@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Partial Ordering Date: Fri, 27 Feb 1998 01:12:17 EST From: Edmond Kayi Lee I have a slight trouble explaining to myself that the prequisite relation is a partial ordering. A partial ordering should be reflexive, but it is not clear to me what "x is a prerequisite of x" really means. Of course, I would be more comfortable if the relation is changed to R(x,y)= "x is a prerequisite of y OR x=y", but this definition seems too weird. Anyone can come up with a better explanation or interpretation of the relation? Edmond  1,, Summary-line: 27-Feb to: kylee@mit.edu [46] #Re: Partial Ordering Mail-from: From meyer@theory.lcs.mit.edu Fri Feb 27 10:55:22 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24615; Fri, 27 Feb 98 15:55:01 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA18043; Fri, 27 Feb 98 15:55:22 EST Date: Fri, 27 Feb 98 15:55:22 EST Message-Id: <199802272055.AA18043@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu In-Reply-To: <199802270612.BAA09085@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Fri, 27 Feb 1998 01:12:17 EST) Subject: Re: Partial Ordering Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Fri, 27 Feb 98 15:55:22 EST From: "Albert R. Meyer" To: kylee@mit.edu In-Reply-To: <199802270612.BAA09085@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Fri, 27 Feb 1998 01:12:17 EST) Subject: Re: Partial Ordering Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Official def of partial order is binary relation that is transitive and ASSYMETRIC: (u R v) and (v R u) implies u = v, that's all. This allows a partial order to be ANTISYMMETRIC: not(u R u) for all u, where we would use a "<" type symbol for "R," or REFLEXIVE: (u R u) for all u, where we would write "<=". It also allows in-between situations with erratic ocurrences of self-loops, where we had best use neither "<" nor "<=" to avoid being misleading about existence of self-loops. Regards, A. Date: Fri, 27 Feb 1998 01:12:17 EST From: Edmond Kayi Lee I have a slight trouble explaining to myself that the prequisite relation is a partial ordering. A partial ordering should be reflexive, but it is not clear to me what "x is a prerequisite of x" really means. Of course, I would be more comfortable if the relation is changed to R(x,y)= "x is a prerequisite of y OR x=y", but this definition seems too weird. Anyone can come up with a better explanation or interpretation of the relation? Edmond  1,, Summary-line: 27-Feb to: 6042-staff [22] #Another 6.042 TA: Mark Roh Mail-from: From meyer@theory.lcs.mit.edu Fri Feb 27 11:14:02 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24973; Fri, 27 Feb 98 16:13:40 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA18228; Fri, 27 Feb 98 16:14:02 EST Date: Fri, 27 Feb 98 16:14:02 EST Message-Id: <199802272114.AA18228@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: Another 6.042 TA: Mark Roh Cc: hennie@eecs.mit.edu Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Fri, 27 Feb 98 16:14:02 EST From: "Albert R. Meyer" To: 6042-staff Subject: Another 6.042 TA: Mark Roh Cc: hennie@eecs.mit.edu Reply-To: 6042-meyer@theory.lcs.mit.edu I'm pleased to report that Mark Roh is joining the 6042 Spring 98 staff as our sixth TA. email: mroh@mit.edu phone: 617.497.4876 Regards, A.  1,, Summary-line: 27-Feb etara@MIT.EDU [36] #new 6.042 TA Mail-from: From etara@MIT.EDU Fri Feb 27 14:02:11 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27124; Fri, 27 Feb 98 19:03:09 EST Received: from DEPARTMENT-OF-ALCHEMY.MIT.EDU by MIT.EDU with SMTP id AA28971; Fri, 27 Feb 98 19:02:12 EST Received: by department-of-alchemy.MIT.EDU (8.8.7/4.7) id TAA11683; Fri, 27 Feb 1998 19:02:11 -0500 (EST) Message-Id: <199802280002.TAA11683@department-of-alchemy.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Subject: new 6.042 TA Date: Fri, 27 Feb 1998 19:02:11 EST From: Tara B Schenkel *** EOOH *** To: 6042-students@theory.lcs.mit.edu Subject: new 6.042 TA Date: Fri, 27 Feb 1998 19:02:11 EST From: Tara B Schenkel we just got a new TA for 6.042 (Mark Roh), which means that we need to do some recitation rescheduling in order to keep sections balanced. if you want to move from your assigned section (which is on the web page), send me email stating what section you're currently assigned to, what time you'd like to have recitation, AND what other times you don't have conflicts with. EVERYONE please check their official assignment on the web page, since that's what i'm basing scheduling changes on. if you're not officially assigned to the section that you'd like to be in, send me email, even if you've sent email concerning changes in the past. thanks tara  1,, Summary-line: 27-Feb etara@MIT.EDU [30] #problem set 3's Mail-from: From etara@MIT.EDU Fri Feb 27 14:08:53 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27265; Fri, 27 Feb 98 19:09:51 EST Received: from DEPARTMENT-OF-ALCHEMY.MIT.EDU by MIT.EDU with SMTP id AA07107; Fri, 27 Feb 98 19:09:17 EST Received: by department-of-alchemy.MIT.EDU (8.8.7/4.7) id TAA12990; Fri, 27 Feb 1998 19:08:53 -0500 (EST) Message-Id: <199802280008.TAA12990@department-of-alchemy.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: problem set 3's Date: Fri, 27 Feb 1998 19:08:53 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: problem set 3's Date: Fri, 27 Feb 1998 19:08:53 EST From: Tara B Schenkel can you all check and see if you have ps3's from John Biesiadecki and/or Michael Paik, since they said that they handed them in, but i don't have them? thanks. stas- i have dennis kwon's ps3 (i don't know why he keeps giving it to me...) i'll either drop it off at your office or bring it to lecture tuesday. (also i dropped his ps2 in your office, and forgot to ask if you got it- did you?) tara  1,, Summary-line: 27-Feb etara@MIT.EDU [22] #recitation scheduling Mail-from: From etara@MIT.EDU Fri Feb 27 14:11:04 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27293; Fri, 27 Feb 98 19:12:02 EST Received: from DEPARTMENT-OF-ALCHEMY.MIT.EDU by MIT.EDU with SMTP id AA00593; Fri, 27 Feb 98 19:11:04 EST Received: by department-of-alchemy.MIT.EDU (8.8.7/4.7) id TAA13030; Fri, 27 Feb 1998 19:11:04 -0500 (EST) Message-Id: <199802280011.TAA13030@department-of-alchemy.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: recitation scheduling Date: Fri, 27 Feb 1998 19:11:04 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: recitation scheduling Date: Fri, 27 Feb 1998 19:11:04 EST From: Tara B Schenkel oh- and i forgot to ask- can you send me an estimate of the number of people you have in each of your sections? (to help me with rescheduling) thanks tara  1,, Summary-line: 28-Feb kylee@mit.edu [40] #Re: Partial Ordering Mail-from: From kylee@mit.edu Sat Feb 28 09:23:39 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02033; Sat, 28 Feb 98 14:24:39 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id OAA22270; Sat, 28 Feb 1998 14:23:40 -0500 Message-Id: <199802281923.OAA22270@Kings-College.MIT.edu> To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: Partial Ordering In-Reply-To: Your message of "Fri, 27 Feb 1998 15:55:22 EST." <199802272055.AA18043@stork.lcs.mit.edu> Date: Sat, 28 Feb 1998 14:23:39 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: Partial Ordering In-Reply-To: Your message of "Fri, 27 Feb 1998 15:55:22 EST." <199802272055.AA18043@stork.lcs.mit.edu> Date: Sat, 28 Feb 1998 14:23:39 EST From: Edmond Kayi Lee >Official def of partial order is binary relation that is transitive and >ASSYMETRIC: > (u R v) and (v R u) implies u = v, >that's all. This allows a partial order to be ANTISYMMETRIC: > not(u R u) for all u, >where we would use a "<" type symbol for "R," >or REFLEXIVE: > (u R u) for all u, >where we would write "<=". It also allows in-between situations with >erratic ocurrences of self-loops, where we had best use neither "<" nor >"<=" to avoid being misleading about existence of self-loops. > >Regards, A. I guess there may be some confusion about the terminology. In Rosen p.402 a partial ordering is defined as a relation which is antisymmetric, reflexive and transitive. In the book, antisymmetric means (a R b) ^ (b R a) -> a=b. Based on this definition, the comes back to my original problem: how to argue the prerequisite relation is partial ordered? Edmond  1,, Summary-line: 28-Feb to: kylee@mit.edu [52] #Re: Partial Ordering Mail-from: From meyer@theory.lcs.mit.edu Sat Feb 28 10:39:40 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02348; Sat, 28 Feb 98 15:39:59 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA18902; Sat, 28 Feb 98 15:39:40 EST Date: Sat, 28 Feb 98 15:39:40 EST Message-Id: <199802282039.AA18902@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu In-Reply-To: <199802281923.OAA22270@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Sat, 28 Feb 1998 14:23:39 EST) Subject: Re: Partial Ordering Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Sat, 28 Feb 98 15:39:40 EST From: "Albert R. Meyer" To: kylee@mit.edu In-Reply-To: <199802281923.OAA22270@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Sat, 28 Feb 1998 14:23:39 EST) Subject: Re: Partial Ordering Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu I guess there may be some confusion about the terminology. YES, my fault, I got my A-/ANTI- SYMMETRY terminology backwards. Rosen correctly calls the axiom (u R v) and (v R u) implies u = v, ANTISYMMETRY. Standard terminology for the axiom not(u R u) for all u, is ASSYMETRY. In the presence of transitivity, the assymetry axiom can equivalently be expressed: u R v implies not v R u. In Rosen p.402 a partial ordering is defined as a relation which is antisymmetric, reflexive and transitive. In the book, antisymmetric means (a R b) ^ (b R a) -> a=b. Based on this definition, the comes back to my original problem: how to argue the prerequisite relation is partial ordered? Rosen's requirement that partial orders be reflexive is not completely standard terminology. Po's are generally defined just to be transitive and antisymmetric. If they are also reflexive, they are called "reflexive" or "weak" po's. Assymetric po's are also called "strict" po's. (A relation which is transitive and assymetric is automatically antisymmetric, so the antisymmetry axiom usually isn't mentioned in defining strict po's.) Getting back to the prerequisite relation: it obviously is a strict po, so Rosen would not call it a po. WE WILL, however. To avoid further confusion as well as picky concerns about which kind of po's we have, let's make sure not to let anything in the course hinge on whether po's are weak, strict or something in between, unless we explicitly state our assumptions in each case. Regards, A.  1,, Summary-line: 28-Feb to: 6042-staff [25] #rec4 notes and ps5 and ps5sol Mail-from: From meyer@theory.lcs.mit.edu Sat Feb 28 11:03:56 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02475; Sat, 28 Feb 98 16:03:34 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA18933; Sat, 28 Feb 98 16:03:56 EST Date: Sat, 28 Feb 98 16:03:56 EST Message-Id: <199802282103.AA18933@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: rec4 notes and ps5 and ps5sol *** EOOH *** Date: Sat, 28 Feb 98 16:03:56 EST From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: rec4 notes and ps5 and ps5sol are in staffonly dir and web page. Comments please before we go to press Monday afternoon. How did recitation 4 work out: what examples did you present, how did they go over, were students able to cope with the problems, did they find them interesting? Re rec4 notes, I corrected a variety of typos and added a simpler (at least I think so) counterexample to stable buddies among 4 men. Regards, A.  1,, Summary-line: 28-Feb flattop@MIT.EDU [36] #6.042 Help Sessions Mail-from: From flattop@MIT.EDU Sat Feb 28 14:50:35 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03744; Sat, 28 Feb 98 19:51:34 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA13723; Sat, 28 Feb 98 19:51:01 EST Received: from W20-575-55.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA05756; Sat, 28 Feb 98 19:50:36 EST Sender: flattop@MIT.EDU Message-Id: <34F8B0DB.560B@MIT.EDU> Date: Sat, 28 Feb 1998 19:50:35 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-students@theory.lcs.mit.edu Subject: 6.042 Help Sessions Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Sat, 28 Feb 1998 19:50:35 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) To: 6042-students@theory.lcs.mit.edu Subject: 6.042 Help Sessions Hey all of you guys and gals in 6.042!!! Just wanna tell you that if you need help with problem set 4, there will be 3 tutors to help you out. me, Tara B Schenkel . and Wendy S Chien This week's help session: Sunday: 8p.m. to 11p.m. Monday: 4p.m. to 7p.m. As of now, the location will be in the 5th floor, Student Center. Hopefully we can use one of the tables near the elevator. jack p.s. Don't get disappointed if we don't know all the answers. Remeber, we are not T.A.'s. :)  1,, Summary-line: 28-Feb flattop@MIT.EDU [31] #Error Mail-from: From flattop@MIT.EDU Sat Feb 28 14:58:55 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03808; Sat, 28 Feb 98 19:59:54 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA14315; Sat, 28 Feb 98 19:59:21 EST Received: from W20-575-55.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA06025; Sat, 28 Feb 98 19:58:56 EST Sender: flattop@MIT.EDU Message-Id: <34F8B2CF.6881@MIT.EDU> Date: Sat, 28 Feb 1998 19:58:55 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-students@theory.lcs.mit.edu Subject: Error Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Sat, 28 Feb 1998 19:58:55 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) To: 6042-students@theory.lcs.mit.edu Subject: Error I made a little mistake Cross out this line from the last e-mail: me, Tara B Schenkel . and Wendy S Chien Add this line line: me, Jessica , and Wendy Sorry for cutting and pasting the wrong e-mail jack  1,, Summary-line: 28-Feb flattop@MIT.EDU [33] #Change in Plan Mail-from: From flattop@MIT.EDU Sat Feb 28 15:53:45 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03992; Sat, 28 Feb 98 20:54:45 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA19644; Sat, 28 Feb 98 20:54:11 EST Received: from W20-575-55.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA09080; Sat, 28 Feb 98 20:53:46 EST Sender: flattop@MIT.EDU Message-Id: <34F8BFA9.252C@MIT.EDU> Date: Sat, 28 Feb 1998 20:53:45 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-students@theory.lcs.mit.edu Subject: Change in Plan Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Sat, 28 Feb 1998 20:53:45 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) To: 6042-students@theory.lcs.mit.edu Subject: Change in Plan Sorry for all these mass-mails :) This is the first time this semester we are having help sessions from non-T.A.'s UPDATED SCHEDULE: Sunday : 8-11p.m. student center, 5th floor Monday : 4-7p.m. NE43-315 Please notice the diffence in locations. jack  1,, Summary-line: 1-Mar kylee@MIT.EDU [32] #Rec 4 notes Mail-from: From kylee@MIT.EDU Sat Feb 28 19:58:36 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04766; Sun, 01 Mar 98 00:59:35 EST Received: from W20-575-33.MIT.EDU by MIT.EDU with SMTP id AA07400; Sun, 1 Mar 98 00:59:01 EST Received: by w20-575-33.MIT.EDU (SMI-8.6/4.7) id AAA01315; Sun, 1 Mar 1998 00:58:37 -0500 Message-Id: <199803010558.AAA01315@w20-575-33.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Rec 4 notes Date: Sun, 01 Mar 1998 00:58:36 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: Rec 4 notes Date: Sun, 01 Mar 1998 00:58:36 EST From: Edmond Kayi Lee Hi, some points in recitation note 4 should be corrected before being printed: i) Change the assymetric to antisymmetric; ii) Example 1 of invariants, 2nd line: (a,b,k)\in R*R*N rather than N^3; iii) DAG example, I am assuming a path with n vertices has length (n-1). Based on this, several places should be modified: Page 2, solution of class exercise, 2nd sentence: the length of a PATH is at most V-1 (rather than V). Page 3, Theorem 0.1, If the longest path in a DAG G has length t-1 (instead of t),... Page 3, 3rd line in proof of Thm 0.1, it should be For 0<=i Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07163; Sun, 01 Mar 98 13:32:18 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA19538; Sun, 01 Mar 98 13:32:41 EST Date: Sun, 01 Mar 98 13:32:41 EST Message-Id: <199803011832.AA19538@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803010558.AAA01315@w20-575-33.MIT.EDU> (message from Edmond Kayi Lee on Sun, 01 Mar 1998 00:58:36 EST) Subject: Re: Rec 4 notes Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Sun, 01 Mar 98 13:32:41 EST From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803010558.AAA01315@w20-575-33.MIT.EDU> (message from Edmond Kayi Lee on Sun, 01 Mar 1998 00:58:36 EST) Subject: Re: Rec 4 notes Reply-To: 6042-meyer@theory.lcs.mit.edu Corrections duly made, many thanks for catching these. I also added a footnote indicating that 6.042 partial orders need not be reflexive. But I notice that the way I associated a po, \succeq, with a DAG does in fact make it reflexive: "If we write $u \succeq v$ to mean that $u=v$ or there is a directed path from vertex $u$ to $v$" Regards, A.  1,, Summary-line: 1-Mar stasio@mit.edu [34] #(small) BUG in PS4!!! Mail-from: From stasio@mit.edu Sun Mar 1 10:46:27 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07911; Sun, 01 Mar 98 15:47:24 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id PAA12312; Sun, 1 Mar 1998 15:46:27 -0500 (EST) Date: Sun, 1 Mar 1998 15:46:27 -0500 (EST) Message-Id: <199803012046.PAA12312@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu, 6042-staff@theory.lcs.mit.edu Subject: (small) BUG in PS4!!! *** EOOH *** Date: Sun, 1 Mar 1998 15:46:27 -0500 (EST) From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu, 6042-staff@theory.lcs.mit.edu Subject: (small) BUG in PS4!!! Hey Albert and other 6042 folks, There is a (slight) bug in problem 3. I put the info about it and a correction on the web, so you can just see it there. However, I did not email the students about it yet. In our example of a bounded set, it is not only (2,1),(1,1),(1,2), but also (3,0),(2,0)...,(0,3), i.e. all points with one coordinate 0 and the other smaller or equal to 3. There is seven of them. I don't "own" /psets/H15-ps4.tex, so I cannot put changes there, but I created /psets/H15-pset4-revised.tex with the change. I also put the info about that on our Web page in both the main homepage and the "problem sets" page, i.e. /pub-dir/homepage.html and /pub-dir/psets/homepage.html. And I put the H15-pset4-revised.ps there for people to download. HOWEVER, SOMEONE SHOULD EMAIL THEM ABOUT IT. I can do it, but I'm not sure which list to use, and I want somebody's ack on this. Stas  1,, Summary-line: 1-Mar stasio@mit.edu [70] #[MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Can't create output] Mail-from: From stasio@mit.edu Sun Mar 1 10:49:40 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07947; Sun, 01 Mar 98 15:50:38 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id PAA12317; Sun, 1 Mar 1998 15:49:40 -0500 (EST) Date: Sun, 1 Mar 1998 15:49:40 -0500 (EST) Message-Id: <199803012049.PAA12317@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Can't create output] *** EOOH *** Date: Sun, 1 Mar 1998 15:49:40 -0500 (EST) From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Can't create output] hey everybody, I'm getting the mail to Prof. Meyer returned with the following header. I'm guessing this means his mailhandler cannot take mail (?). Does anybody know how to contact him? If anybody is around, please check whether the correction I posted is correct. Especially if prof. Meyer is temporarily unreachable, I want some sanity check on what I'm doing... ;-) Stas ------- Start of forwarded message ------- Return-Path: Date: Sun, 01 Mar 98 15:47:24 EST From: MAILER-DAEMON@theory.lcs.mit.edu (Mail Delivery Subsystem) Subject: Returned mail: Can't create output To: stasio@MIT.EDU ----- Transcript of session follows ----- 550 "/b/meyer/42-meyer/42.babyl"... Can't create output 550 "/b/meyer/42-meyer/42.babyl"... Can't create output ----- Unsent message follows ----- Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07911; Sun, 01 Mar 98 15:47:24 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id PAA12312; Sun, 1 Mar 1998 15:46:27 -0500 (EST) Date: Sun, 1 Mar 1998 15:46:27 -0500 (EST) Message-Id: <199803012046.PAA12312@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu, 6042-staff@theory.lcs.mit.edu Subject: (small) BUG in PS4!!! Hey Albert and other 6042 folks, There is a (slight) bug in problem 3. I put the info about it and a correction on the web, so you can just see it there. However, I did not email the students about it yet. In our example of a bounded set, it is not only (2,1),(1,1),(1,2), but also (3,0),(2,0)...,(0,3), i.e. all points with one coordinate 0 and the other smaller or equal to 3. There is seven of them. I don't "own" /psets/H15-ps4.tex, so I cannot put changes there, but I created /psets/H15-pset4-revised.tex with the change. I also put the info about that on our Web page in both the main homepage and the "problem sets" page, i.e. /pub-dir/homepage.html and /pub-dir/psets/homepage.html. And I put the H15-pset4-revised.ps there for people to download. HOWEVER, SOMEONE SHOULD EMAIL THEM ABOUT IT. I can do it, but I'm not sure which list to use, and I want somebody's ack on this. Stas ------- End of forwarded message -------  1,, Summary-line: 1-Mar to: stasio@mit.edu [22] #Re: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Can't create output] Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 1 11:35:14 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08195; Sun, 01 Mar 98 16:34:52 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA19692; Sun, 01 Mar 98 16:35:14 EST Date: Sun, 01 Mar 98 16:35:14 EST Message-Id: <199803012135.AA19692@stork.lcs.mit.edu> From: "Albert R. Meyer" To: stasio@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803012049.PAA12317@enigma.LCS.MIT.EDU> (message from Stanislaw Jarecki on Sun, 1 Mar 1998 15:49:40 -0500 (EST)) Subject: Re: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Can't create output] *** EOOH *** Date: Sun, 01 Mar 98 16:35:14 EST From: "Albert R. Meyer" To: stasio@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803012049.PAA12317@enigma.LCS.MIT.EDU> (message from Stanislaw Jarecki on Sun, 1 Mar 1998 15:49:40 -0500 (EST)) Subject: Re: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Can't create output] Keep sending mail to 6042-meyer and ignore the error message. I do get the email to 6042-meyer, but the archiving mechanism was set up wrong and generates an error. I've asked the sys-admin to correct this. Regards, A.  1,, Summary-line: 1-Mar to: 6042-students [22] #pset4, prob3b: correction to example Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 1 12:44:43 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08640; Sun, 01 Mar 98 17:44:21 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA19748; Sun, 01 Mar 98 17:44:43 EST Date: Sun, 01 Mar 98 17:44:43 EST Message-Id: <199803012244.AA19748@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-students Subject: pset4, prob3b: correction to example Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Sun, 01 Mar 98 17:44:43 EST From: "Albert R. Meyer" To: 6042-students Subject: pset4, prob3b: correction to example Reply-To: 6042-meyer@theory.lcs.mit.edu In the example given in PSet4, Prob 3b: the set of bounded moves should be {(1,1),(1,2),(2,1), (0,3), (0,2),(0,1),(0,0),(1,0),(2,0),(3,0)}. (The last 7 points above, with a 0 coordinate, were omitted in the original handout.) And the unbounded moves in the example are the points with at least one zero-coordinate, except the 7 above. Regards, A.  1,, Summary-line: 1-Mar flattop@MIT.EDU [28] ##4f Mail-from: From flattop@MIT.EDU Sun Mar 1 15:21:02 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09443; Sun, 01 Mar 98 20:22:01 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA18839; Sun, 1 Mar 98 20:21:27 EST Received: from W20-575-82.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA09671; Sun, 1 Mar 98 20:21:02 EST Sender: flattop@MIT.EDU Message-Id: <34FA097E.167E@MIT.EDU> Date: Sun, 01 Mar 1998 20:21:02 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; IRIX 5.3 IP22) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: #4f Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Sun, 01 Mar 1998 20:21:02 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; IRIX 5.3 IP22) To: 6042-staff@theory.lcs.mit.edu Subject: #4f I cannot figure out #4f. Does anyone have an answer? It's sucks to tutor someone when you don't know the answers. I need it as soon as possible jack  1,, Summary-line: 1-Mar to: flattop@MIT.EDU [37] #Re: #4f Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 1 16:21:55 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09729; Sun, 01 Mar 98 21:21:33 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA20078; Sun, 01 Mar 98 21:21:55 EST Date: Sun, 01 Mar 98 21:21:55 EST Message-Id: <199803020221.AA20078@stork.lcs.mit.edu> From: "Albert R. Meyer" To: flattop@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <34FA097E.167E@MIT.EDU> (flattop@MIT.EDU) Subject: Re: #4f Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Sun, 01 Mar 98 21:21:55 EST From: "Albert R. Meyer" To: flattop@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <34FA097E.167E@MIT.EDU> (flattop@MIT.EDU) Subject: Re: #4f Reply-To: 6042-meyer@theory.lcs.mit.edu SOLN 4f: Suppose there are at least 3 bachelors of one sex, say men, and at least 1 bachelor woman. The woman is unacceptable to at most one of the men. Of the two or more remaining who find her acceptable, she finds at most one unacceptable. So there are a pair of bachelors of the opposite sex, call them man M and woman W, who find each other acceptable. But since M is a bachelor, he must have proposed to all the women he finds acceptable, including W. Since W received a proposal from M, and M is acceptable to her, she must be married to someone she likes at least as much as M (because her marriage rank variable is nondecreasing), contradicting the fact that she is a bachelor. Sender: flattop@MIT.EDU Date: Sun, 01 Mar 1998 20:21:02 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; IRIX 5.3 IP22) I cannot figure out #4f. Does anyone have an answer? It's sucks to tutor someone when you don't know the answers. I need it as soon as possible jack  1,, Summary-line: 1-Mar flattop@MIT.EDU [44] #ps4-sol bug??? Mail-from: From flattop@MIT.EDU Sun Mar 1 18:28:48 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA10610; Sun, 01 Mar 98 23:29:48 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA00132; Sun, 1 Mar 98 23:28:50 EST Received: from W20-575-90.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA21990; Sun, 1 Mar 98 23:28:50 EST Sender: flattop@MIT.EDU Message-Id: <34FA3580.167D@MIT.EDU> Date: Sun, 01 Mar 1998 23:28:48 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: ps4-sol bug??? Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Sun, 01 Mar 1998 23:28:48 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) To: 6042-staff@theory.lcs.mit.edu Subject: ps4-sol bug??? I'm not sure if there is a mistake in Problem #2c. Here's what I think for k>=n, n= -(tb)/c according to the solutions, isn't k1= -(tb)/c so therefore k = k1*b + k2*c then n= minumum of k which is k1*b then isn't n= -(t*b*b)/c?? I'm just confused. :( what I'm confused is the at first: "We show that if k>=n for n= -(tb)/c" then it says: "Hence, as long as we make k1 >= -(tb)/c" So is k1 same as k jack  1,, Summary-line: 2-Mar flattop@MIT.EDU [30] #6.042 Help Session Cancelled Mail-from: From flattop@MIT.EDU Sun Mar 1 20:05:25 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA11203; Mon, 02 Mar 98 01:06:26 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA12739; Mon, 2 Mar 98 01:05:28 EST Received: from W20-575-90.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA28325; Mon, 2 Mar 98 01:05:28 EST Sender: flattop@MIT.EDU Message-Id: <34FA4C25.5157@MIT.EDU> Date: Mon, 02 Mar 1998 01:05:25 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-students@theory.lcs.mit.edu Subject: 6.042 Help Session Cancelled Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Mon, 02 Mar 1998 01:05:25 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) To: 6042-students@theory.lcs.mit.edu Subject: 6.042 Help Session Cancelled Sorry :( The help session on Monday for 6.042 will be cancelled because one of the helpers is sick and I'm very busy tomorrow. But feel free to e-mail <6042-help@theory.lcs.mit.edu>. We'll try to reply to your e-mails as soon as we can. Again... sorry :( jack  1,, Summary-line: 2-Mar flattop@MIT.EDU [36] #I feel bad Mail-from: From flattop@MIT.EDU Sun Mar 1 20:24:12 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA11332; Mon, 02 Mar 98 01:25:11 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA29095; Mon, 2 Mar 98 01:24:38 EST Received: from W20-575-90.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA29248; Mon, 2 Mar 98 01:24:13 EST Sender: flattop@MIT.EDU Message-Id: <34FA508C.723F@MIT.EDU> Date: Mon, 02 Mar 1998 01:24:12 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-students@theory.lcs.mit.edu Subject: I feel bad Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Mon, 02 Mar 1998 01:24:12 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) To: 6042-students@theory.lcs.mit.edu Subject: I feel bad I feel bad for cancelling the help session. Here's what I'll do: I'll try to be logged on from 4 to 7 on Monday in 5th floor Student Center. type: zlocate flattop to see where I'm logged in and come by my terminal for help. else you can zwrite me. sounds good with you all. one last thing, there's a couple of problems that I cannot do and I don't really understand the solutions. But I'll try my best to help you. jack  1,, Summary-line: 2-Mar stasio@MIT.EDU [22] #Re: ps4-sol bug??? Mail-from: From stasio@mit.edu Mon Mar 2 04:47:54 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14239; Mon, 02 Mar 98 09:48:52 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id JAA14193; Mon, 2 Mar 1998 09:47:54 -0500 (EST) Date: Mon, 2 Mar 1998 09:47:54 -0500 (EST) Message-Id: <199803021447.JAA14193@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: flattop@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <34FA3580.167D@MIT.EDU> (flattop@MIT.EDU) Subject: Re: ps4-sol bug??? *** EOOH *** Date: Mon, 2 Mar 1998 09:47:54 -0500 (EST) From: Stanislaw Jarecki To: flattop@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <34FA3580.167D@MIT.EDU> (flattop@MIT.EDU) Subject: Re: ps4-sol bug??? great, you are right Jack, we have to make n = -(t*b*b)/c, just like you suggested. i rewrote the solution to the 2c: hopefully it is more readable right now. Stas  1,, Summary-line: 2-Mar stasio@MIT.EDU [42] #4f is WRONG!!!!! Mail-from: From stasio@mit.edu Mon Mar 2 06:51:36 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16281; Mon, 02 Mar 98 11:52:33 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id LAA14280; Mon, 2 Mar 1998 11:51:36 -0500 (EST) Date: Mon, 2 Mar 1998 11:51:36 -0500 (EST) Message-Id: <199803021651.LAA14280@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: flattop@MIT.EDU, 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803020221.AA20078@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: 4f is WRONG!!!!! *** EOOH *** Date: Mon, 2 Mar 1998 11:51:36 -0500 (EST) From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: flattop@MIT.EDU, 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803020221.AA20078@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: 4f is WRONG!!!!! oh no... another bummer: 4f DOESNT WORK! I propose to QUICKLY call off this part of the problem. There can be a set of three men M1,M2,M3 and a single woman W, which cannot be married, while the condition that "no person is unacceptable to more than one person of the opposite sex" still holds. These are the preferences: M1: W M2: W M3: none W: none Of course, nobody can marry anybody here. And the assumption is trivially met: 1. W is unacceptable to exactly one man 2. All men are unacceptable to exactly one woman, i.e. W Stas  1,, Summary-line: 2-Mar flattop@MIT.EDU [51] #Re: 4f is WRONG!!!!! Mail-from: From flattop@MIT.EDU Mon Mar 2 07:11:39 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16579; Mon, 02 Mar 98 12:12:39 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA25779; Mon, 2 Mar 98 12:11:41 EST Received: from M12-182-23.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA29355; Mon, 2 Mar 98 12:11:40 EST Sender: flattop@MIT.EDU Message-Id: <34FAE84B.751@MIT.EDU> Date: Mon, 02 Mar 1998 12:11:39 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: Re: 4f is WRONG!!!!! References: <199803021651.LAA14280@enigma.LCS.MIT.EDU> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: flattop@MIT.EDU Date: Mon, 02 Mar 1998 12:11:39 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) To: 6042-staff@theory.lcs.mit.edu Subject: Re: 4f is WRONG!!!!! References: <199803021651.LAA14280@enigma.LCS.MIT.EDU> I agree. Lot of people don't get this problem. Neither do I. Can you e-mail the students soon if you are going to cancel this problem? Stanislaw Jarecki wrote: > > oh no... > another bummer: > > 4f DOESNT WORK! > > I propose to QUICKLY call off this part of the problem. > > There can be a set of three men M1,M2,M3 and a single woman W, which > cannot be married, while the condition that "no person is unacceptable > to more than one person of the opposite sex" still holds. These are > the preferences: > > M1: W > M2: W > M3: none > > W: none > > Of course, nobody can marry anybody here. And the assumption is > trivially met: > 1. W is unacceptable to exactly one man > 2. All men are unacceptable to exactly one woman, i.e. W > > Stas  0, unseen,, Summary-line: 2-Mar etara@MIT.EDU [25] #LOST ps3's *** EOOH *** Mail-from: From etara@MIT.EDU Mon Mar 2 07:30:38 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16854; Mon, 02 Mar 98 12:32:18 EST Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA17933; Mon, 2 Mar 98 12:31:04 EST Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id MAA20024; Mon, 2 Mar 1998 12:30:38 -0500 Message-Id: <199803021730.MAA20024@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: LOST ps3's Date: Mon, 02 Mar 1998 12:30:38 EST From: Tara B Schenkel have you guys checked to see if you got ps 3's from Michael Paik or John Biesiadecki? they said they handed them in, but i didn't get them, so i'm assuming that they put them in someone else's box. can you PLEASE check and get back to me one way or the other? thanks. tara  1,, Summary-line: 2-Mar stasio@MIT.EDU [72] #(revised) #4f WORKS!!! Mail-from: From stasio@mit.edu Mon Mar 2 08:02:46 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17251; Mon, 02 Mar 98 13:03:45 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id NAA14332; Mon, 2 Mar 1998 13:02:46 -0500 (EST) Date: Mon, 2 Mar 1998 13:02:46 -0500 (EST) Message-Id: <199803021802.NAA14332@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: flattop@MIT.EDU, 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803020221.AA20078@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: (revised) #4f WORKS!!! *** EOOH *** Date: Mon, 2 Mar 1998 13:02:46 -0500 (EST) From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: flattop@MIT.EDU, 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803020221.AA20078@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: (revised) #4f WORKS!!! Whoever is on-line and listening to this: Please check that the following argument works and send you "ack/nack" to everybody. As soon as I get "ack" from Albert, I will broadcast the announcement with the change. It is 100 times better to make a change to the problem which makes it work, than to cancel it. 4f works if we change it in this way: 1. we add the assumption that the number of men equals the number of women 2. then we are proving a simpler fact (so we should change that too), namely that: "there are no more than 2 bachelors of the same sex" One needs to state and show a general fact (TH) that, for every pair of man M and woman W, if M finds W acceptable and vice versa, then it cannot be that both M and W are bachelors. [Proof: Suppose for contradiction that M and W are bachelors. If M finds W acceptable, he is either married to her or proposed to her at some point (facts 3 and 4 in 4d). Since he is a bachelor now, he must have proposed to her at some point, and she must have rejected him. But since M is acceptable to her, she could have rejected him only because there was some man she was engaged to at that time. But once a woman is engaged to somebody, she has to marry someone (not necessarily the same person, but someone). Contradiction: they cant be both bachelors.] Now lets prove the revised claim in 4f by contradiction, i.e. assume that there are at least 3 bachelors of one sex, say men. 1. Since the number of men = nubmer of women, if there are 3 male bachelors, there are 3 female bachelors. 2. Pick a bachelor woman W1 (call the other two W2 and W3). She must be unacceptable to at most one of the bachelors. Call the other two bachelors, those that find W acceptable, M2 and M3. 3. If W1 found either M2 or M3 acceptable, then she would not not end up a bachelor (fact TH, plus the fact that both M1 and M2 are bachelors). So she finds them unacceptable. 4. Since no man can be unacceptable to more than 1 woman, women W2 and W3 must find both M2 and M3 acceptable. 5. Since no woman can be unacceptable to more than 1 man, W2 must be acceptable to either M2 or M3 (same for W3). Without loss of generality say that M2 finds W2 acceptable. 6. By fact TH, it cannot be that both M2 and W2 end up as bachelors. Contradiction.  0, unseen,, Summary-line: 2-Mar etara@MIT.EDU [26] #(revised) #4f WORKS!!! *** EOOH *** Mail-from: From etara@MIT.EDU Mon Mar 2 08:09:30 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17420; Mon, 02 Mar 98 13:10:30 EST Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA29940; Mon, 2 Mar 98 13:09:55 EST Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id NAA20108; Mon, 2 Mar 1998 13:09:30 -0500 Message-Id: <199803021809.NAA20108@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: (revised) #4f WORKS!!! Date: Mon, 02 Mar 1998 13:09:30 EST From: Tara B Schenkel i don't think it's fair to change a problem so close to when the problem set is due. it's our fault that we let the error(s) into the problem set and we should deal with it without imposing on the students any more than we already have by handing out a buggy problem set. tara  0, unseen,, Summary-line: 2-Mar stasio@MIT.EDU [20] #Re: (revised) #4f WORKS!!! *** EOOH *** Mail-from: From stasio@mit.edu Mon Mar 2 08:11:19 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17452; Mon, 02 Mar 98 13:12:17 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id NAA14350; Mon, 2 Mar 1998 13:11:19 -0500 (EST) Date: Mon, 2 Mar 1998 13:11:19 -0500 (EST) Message-Id: <199803021811.NAA14350@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: etara@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803021809.NAA20108@m37-312-37.MIT.EDU> (message from Tara B Schenkel on Mon, 02 Mar 1998 13:09:30 EST) Subject: Re: (revised) #4f WORKS!!! actually, i think Tara is right: it's too late to change it. On the other hand, those that worked on it would get the solution now, and those that didnt shouldnt care... Stas  0, unseen,, Summary-line: 2-Mar kylee@mit.edu [21] #Re: (revised) #4f WORKS!!! *** EOOH *** Mail-from: From kylee@mit.edu Mon Mar 2 08:22:10 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17633; Mon, 02 Mar 98 13:23:09 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id NAA07459; Mon, 2 Mar 1998 13:22:10 -0500 Message-Id: <199803021822.NAA07459@Kings-College.MIT.edu> To: stasio@mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: (revised) #4f WORKS!!! Date: Mon, 02 Mar 1998 13:22:10 EST From: Edmond Kayi Lee I agree with Tara. It's a bit too late to make the change. Also, it is important to notify the students as soon as possible so as not to make them waste their time. Edmond  0, unseen,, Summary-line: 2-Mar kylee@mit.edu [34] #Problem set extension *** EOOH *** Mail-from: From kylee@mit.edu Mon Mar 2 08:26:51 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA17762; Mon, 02 Mar 98 13:27:50 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id NAA07494; Mon, 2 Mar 1998 13:26:51 -0500 Message-Id: <199803021826.NAA07494@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Problem set extension Date: Mon, 02 Mar 1998 13:26:51 EST From: Edmond Kayi Lee A student is asking for extension because he has an interview. Should we just let him and post the solution on, say, Wednesday nite? Edmond ------- Forwarded Message Hi, I'm leaving for New York today at 5 p.m. for an interview and will be returning early on Wednesday....I was hoping I could turn in the problem set then..I know the problem with the solutions being posted an hour after the problem set is due,but I will promise you that I will not look at the solutions...I will finish most of my problem set in New York,and will hand them in the minute I get here... I hope its ok with you. thank you, Sanjeeb Bhuyan ------- End of Forwarded Message  0, unseen,, Summary-line: 2-Mar stasio@mit.edu [24] #corection to pset4 prob 4f *** EOOH *** Mail-from: From stasio@mit.edu Mon Mar 2 10:30:19 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19705; Mon, 02 Mar 98 15:31:17 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id PAA14465; Mon, 2 Mar 1998 15:30:19 -0500 (EST) Date: Mon, 2 Mar 1998 15:30:19 -0500 (EST) Message-Id: <199803022030.PAA14465@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-students@theory.lcs.mit.edu Subject: corection to pset4 prob 4f Hi Class, In problem 4f of PS4, you must assume that that there are an equal number of men and women. Here is the revised wording: "Suppose that the number of women and the number of men are the same and that no person is unacceptable to more than one person of the opposite sex. Show that the protocol leads to a stable marriage set where there are no more than two bachelors of the same sex." Stas  0, unseen,, Summary-line: 2-Mar stasio@mit.edu [25] #(cont) corection to pset4 prob 4f *** EOOH *** Mail-from: From stasio@mit.edu Mon Mar 2 10:35:11 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19765; Mon, 02 Mar 98 15:36:09 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id PAA14468; Mon, 2 Mar 1998 15:35:11 -0500 (EST) Date: Mon, 2 Mar 1998 15:35:11 -0500 (EST) Message-Id: <199803022035.PAA14468@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-students@theory.lcs.mit.edu Subject: (cont) corection to pset4 prob 4f Hi Class, In the previous message I messed up and sent you not the best wording. Here is the final wording (it's more concise). Please use it and accept my apologies: "Suppose that the number of women and men is the same, and that no person is unacceptable to more than one person of the opposite sex. Show that the protocol leads to a stable marriage set where at most two men are bachelors." Stas  1,, Summary-line: 2-Mar stasio@mit.edu [19] #(postscript) pset4 prob 4f Mail-from: From stasio@mit.edu Mon Mar 2 11:01:10 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20224; Mon, 02 Mar 98 16:02:08 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id QAA14499; Mon, 2 Mar 1998 16:01:10 -0500 (EST) Date: Mon, 2 Mar 1998 16:01:10 -0500 (EST) Message-Id: <199803022101.QAA14499@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-students@theory.lcs.mit.edu Subject: (postscript) pset4 prob 4f *** EOOH *** Date: Mon, 2 Mar 1998 16:01:10 -0500 (EST) From: Stanislaw Jarecki To: 6042-students@theory.lcs.mit.edu Subject: (postscript) pset4 prob 4f Hi Class, Actually, because of the late change of the wording, you are welcome to skip part f of problem 4. Stas  0, unseen,, Summary-line: 2-Mar to: kylee@mit.edu [43] #Re: Problem set extension *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 2 11:10:45 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20354; Mon, 02 Mar 98 16:10:22 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA20906; Mon, 02 Mar 98 16:10:45 EST Date: Mon, 02 Mar 98 16:10:45 EST Message-Id: <199803022110.AA20906@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803021826.NAA07494@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Mon, 02 Mar 1998 13:26:51 EST) Subject: Re: Problem set extension Reply-To: 6042-meyer@theory.lcs.mit.edu OK. Date: Mon, 02 Mar 1998 13:26:51 EST From: Edmond Kayi Lee A student is asking for extension because he has an interview. Should we just let him and post the solution on, say, Wednesday nite? Edmond ------- Forwarded Message Hi, I'm leaving for New York today at 5 p.m. for an interview and will be returning early on Wednesday....I was hoping I could turn in the problem set then..I know the problem with the solutions being posted an hour after the problem set is due,but I will promise you that I will not look at the solutions...I will finish most of my problem set in New York,and will hand them in the minute I get here... I hope its ok with you. thank you, Sanjeeb Bhuyan ------- End of Forwarded Message  0, unseen,, Summary-line: 2-Mar kylee@MIT.EDU [24] #Pset 4 Problem 3a solution *** EOOH *** Mail-from: From kylee@MIT.EDU Mon Mar 2 11:54:19 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21369; Mon, 02 Mar 98 16:55:19 EST Received: from W20-575-88.MIT.EDU by MIT.EDU with SMTP id AA17137; Mon, 2 Mar 98 16:54:46 EST Received: by w20-575-88.MIT.EDU (SMI-8.6/4.7) id QAA15378; Mon, 2 Mar 1998 16:54:20 -0500 Message-Id: <199803022154.QAA15378@w20-575-88.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Pset 4 Problem 3a solution Date: Mon, 02 Mar 1998 16:54:19 EST From: Edmond Kayi Lee I think there should also be a correction in the solution for problem 3a. In the 2nd and 3rd of the 3 cases, it should be ii) If x'=x_min and y' Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21608; Mon, 02 Mar 98 17:09:03 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id RAA14554; Mon, 2 Mar 1998 17:08:05 -0500 (EST) Date: Mon, 2 Mar 1998 17:08:05 -0500 (EST) Message-Id: <199803022208.RAA14554@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803022154.QAA15378@w20-575-88.MIT.EDU> (message from Edmond Kayi Lee on Mon, 02 Mar 1998 16:54:19 EST) Subject: Re: Pset 4 Problem 3a solution oh yeah, good eye! thanks! RE: I think there should also be a correction in the solution for problem 3a. In the 2nd and 3rd of the 3 cases, it should be ii) If x'=x_min and y' Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21883; Mon, 02 Mar 98 17:33:39 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id RAA14571; Mon, 2 Mar 1998 17:32:41 -0500 (EST) Date: Mon, 2 Mar 1998 17:32:41 -0500 (EST) Message-Id: <199803022232.RAA14571@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: winning strategy in 3c a propos problem 3c, the winning strategy: It seems to me that there can be more than one winning strategy for the first player. Can anybody can prove that no other strategy works? Otherwise, check the wording of my solution to 3c on the staffonly page. Stas  0, unseen,, Summary-line: 2-Mar stasio@mit.edu [25] #ps4 solutions *** EOOH *** Mail-from: From stasio@mit.edu Mon Mar 2 13:05:17 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22216; Mon, 02 Mar 98 18:06:15 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id SAA14598; Mon, 2 Mar 1998 18:05:17 -0500 (EST) Date: Mon, 2 Mar 1998 18:05:17 -0500 (EST) Message-Id: <199803022305.SAA14598@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: ps4 solutions I put the ps4 solutions on the web at staffonly page. If there are any comments, I will put them in around noon tomorrow. Otherwise I am not touching it. Albert, about your alternative argument for 4g you hinted on in your email: I am not positive about it, so I did not develop it. It is in the latex file inside the \ignore{...} brackets. If you think that this level of (in)formality is good, just remove the brackets... (you can call me at 497-8763 in case of "ps4 emergency") Stas  0, unseen,, Summary-line: 2-Mar to: stasio@mit.edu [19] #Re: winning strategy in 3c *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 2 14:28:50 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23232; Mon, 02 Mar 98 19:28:31 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21105; Mon, 02 Mar 98 19:28:50 EST Date: Mon, 02 Mar 98 19:28:50 EST Message-Id: <199803030028.AA21105@stork.lcs.mit.edu> From: "Albert R. Meyer" To: stasio@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803022232.RAA14571@enigma.LCS.MIT.EDU> (message from Stanislaw Jarecki on Mon, 2 Mar 1998 17:32:41 -0500 (EST)) Subject: Re: winning strategy in 3c Reply-To: 6042-meyer@theory.lcs.mit.edu If the first player moves (0,2), the second player moves (1,1) and wins. Regards, A.  0, unseen,, Summary-line: 2-Mar to: 6042-staff [18] #H20-pset5 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 2 16:12:07 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24427; Mon, 02 Mar 98 21:11:44 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21196; Mon, 02 Mar 98 21:12:07 EST Date: Mon, 02 Mar 98 21:12:07 EST Message-Id: <199803030212.AA21196@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H20-pset5 Reply-To: 6042-meyer@theory.lcs.mit.edu Is on the public web page. Let me know if you see any problems with it, preferably before it goes to press tomorrow mid-morn. Thanks, A.  0, unseen,, Summary-line: 2-Mar mroh@MIT.EDU [26] #Re: ps4 solutions *** EOOH *** Mail-from: From mroh@MIT.EDU Mon Mar 2 16:14:47 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24481; Mon, 02 Mar 98 21:15:48 EST Received: from SCI-READ-ROOM.MIT.EDU by MIT.EDU with SMTP id AA27783; Mon, 2 Mar 98 21:14:49 EST Received: by sci-read-room.MIT.EDU (SMI-8.6/4.7) id VAA08482; Mon, 2 Mar 1998 21:14:48 -0500 Message-Id: <199803030214.VAA08482@sci-read-room.MIT.EDU> To: 6042-staff@theory.lcs Subject: Re: ps4 solutions Date: Mon, 02 Mar 1998 21:14:47 EST From: "Mark C. Roh" Hi, everyone, I'm the new TA. Just a couple things on ps4 solns: 1. We should include the points (0,3)... (3,0) in the restatement of problem 3. 2. In the solution to the marriage problem, there are two references to "rouge" couples that should be "rogue". Mark  0, unseen,, Summary-line: 2-Mar mroh@MIT.EDU [28] #ps5 and ps5-solns *** EOOH *** Mail-from: From mroh@MIT.EDU Mon Mar 2 16:21:18 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24524; Mon, 02 Mar 98 21:22:20 EST Received: from SCI-READ-ROOM.MIT.EDU by MIT.EDU with SMTP id AA28859; Mon, 2 Mar 98 21:21:21 EST Received: by sci-read-room.MIT.EDU (SMI-8.6/4.7) id VAA08498; Mon, 2 Mar 1998 21:21:19 -0500 Message-Id: <199803030221.VAA08498@sci-read-room.MIT.EDU> To: 6042-staff@theory.lcs Subject: ps5 and ps5-solns Date: Mon, 02 Mar 1998 21:21:18 EST From: "Mark C. Roh" They look good to me (I don't know how the points should be distributed). For #6, I think \log will produce roman characters rather than italicized ones. For the solutions: 5.2a. We should include the base case m=1. 5.7. The problem restatement should be changed to agree with the phrasing in the pset. And the final line in the solution should have "4/3" in the exponent rather than "3/2."  1,, Summary-line: 2-Mar to: 6042-staff [44] #[meyer@theory.lcs.mit.edu: Re: ps5 and ps5-solns] Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 2 16:40:36 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24766; Mon, 02 Mar 98 21:40:13 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21227; Mon, 02 Mar 98 21:40:36 EST Date: Mon, 02 Mar 98 21:40:36 EST Message-Id: <199803030240.AA21227@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: [meyer@theory.lcs.mit.edu: Re: ps5 and ps5-solns] Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Mon, 02 Mar 98 21:40:36 EST From: "Albert R. Meyer" To: 6042-staff Subject: [meyer@theory.lcs.mit.edu: Re: ps5 and ps5-solns] Reply-To: 6042-meyer@theory.lcs.mit.edu ------- Start of forwarded message ------- Date: Mon, 2 Mar 1998 21:36:59 -0500 From: "Albert R. Meyer" To: mroh@MIT.EDU In-reply-to: <199803030221.VAA08498@sci-read-room.MIT.EDU> (mroh@MIT.EDU) Subject: Re: ps5 and ps5-solns Tara's ps5sol is based on slight earlier draft than H21-pset5.ps now on public page. Take a look at the latest H21-pset5 if you have time. Regards, A. Date: Mon, 02 Mar 1998 21:21:18 EST From: "Mark C. Roh" They look good to me (I don't know how the points should be distributed). For #6, I think \log will produce roman characters rather than italicized ones. For the solutions: 5.2a. We should include the base case m=1. 5.7. The problem restatement should be changed to agree with the phrasing in the pset. And the final line in the solution should have "4/3" in the exponent rather than "3/2." ------- End of forwarded message -------  1,, Summary-line: 3-Mar dmjones@theory.lcs.mit.ed [9] #Handouts 19 and 20 Mail-from: From dmjones@theory.lcs.mit.edu Tue Mar 3 06:32:48 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01346; Tue, 03 Mar 98 11:33:30 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA10358; Tue, 03 Mar 98 11:32:48 EST Date: Tue, 03 Mar 98 11:32:48 EST Message-Id: <199803031632.AA10358@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: Handouts 19 and 20 *** EOOH *** Date: Tue, 03 Mar 98 11:32:48 EST From: "David M. Jones" To: 6042-staff Subject: Handouts 19 and 20 Handouts 19 and 20 are on top of the file cabinets outside my office. David.  0, unseen,, Summary-line: 3-Mar to: jones [19] #H24-rec5.ps *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Mar 3 07:08:50 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01903; Tue, 03 Mar 98 12:08:27 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21872; Tue, 03 Mar 98 12:08:50 EST Date: Tue, 03 Mar 98 12:08:50 EST Message-Id: <199803031708.AA21872@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H24-rec5.ps H24-rec5.ps is on the staffonly web page, and a copy should be coming out of the et printer now. Make 10 copies for staff mtng today. Thanks, A.  0, unseen,, Summary-line: 3-Mar stasio@mit.edu [63] #Re: winning strategy in 3c *** EOOH *** Mail-from: From stasio@mit.edu Tue Mar 3 07:49:43 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02653; Tue, 03 Mar 98 12:50:41 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id MAA16463; Tue, 3 Mar 1998 12:49:43 -0500 (EST) Date: Tue, 3 Mar 1998 12:49:43 -0500 (EST) Message-Id: <199803031749.MAA16463@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803030028.AA21105@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: winning strategy in 3c >If the first player moves (0,2), the second player moves (1,1) and wins. >Regards, A. No he does not! 1st player: (0,2) 2nd: (1,1) 1st: (2,0) 2nd loses... you can also see that: if 1st goes (0,2), 2nd goes (1,1) and wins if 1st goes (1,0), 2nd goes (0,1) and wins if 1st goes (0,1), 2nd goes (1,0) and wins if 1st goes (0,3), 2nd goes (1,2) and then if 1st goes (1,1), 2nd goes (0,2) and wins if 1st goes (0,2), 2nd goes (1,1) and wins if 1st goes (1,0), 2nd goes (0,1) and wins if 1st goes (0,1), 2nd goes (1,0) and wins if 1st goes (1,2), 2nd goes (0,3) and then (the same four cases) In general, I think that the following strategy will do it for all other cases: if 1st goes (0,n), 2nd goes (1,n-1) if 1st goes (1,n), 2nd goes (0,n+1) but i cant think of a consice way to argue that. let's see: maybe one of them will argue it convincingly and we can publish it on the web afterwards: possibly some of them have discovered this, and possibly were searching for some way to argue this, and couldnt find one... Stas RE: ****** To: stasio@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803022232.RAA14571@enigma.LCS.MIT.EDU> (message from Stanislaw Jarecki on Mon, 2 Mar 1998 17:32:41 -0500 (EST)) Subject: Re: winning strategy in 3c Reply-To: 6042-meyer@theory.lcs.mit.edu If the first player moves (0,2), the second player moves (1,1) and wins. Regards, A.  0, unseen,, Summary-line: 3-Mar stasio@MIT.EDU [37] #Re: ps4 solutions *** EOOH *** Mail-from: From stasio@mit.edu Tue Mar 3 07:54:51 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02725; Tue, 03 Mar 98 12:55:50 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id MAA16471; Tue, 3 Mar 1998 12:54:51 -0500 (EST) Date: Tue, 3 Mar 1998 12:54:51 -0500 (EST) Message-Id: <199803031754.MAA16471@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: mroh@MIT.EDU Cc: 6042-staff@theory.lcs.MIT.EDU In-Reply-To: <199803030214.VAA08482@sci-read-room.MIT.EDU> (mroh@MIT.EDU) Subject: Re: ps4 solutions hey mark, thanks a lot! i've just put both things in Stas Date: Mon, 02 Mar 1998 21:14:47 EST From: "Mark C. Roh" Hi, everyone, I'm the new TA. Just a couple things on ps4 solns: 1. We should include the points (0,3)... (3,0) in the restatement of problem 3. 2. In the solution to the marriage problem, there are two references to "rouge" couples that should be "rogue". Mark  0, unseen,, Summary-line: 3-Mar kylee@MIT.EDU [29] #Winning Strategy *** EOOH *** Mail-from: From kylee@MIT.EDU Tue Mar 3 07:58:29 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02820; Tue, 03 Mar 98 12:59:31 EST Received: from M37-318-10.MIT.EDU by MIT.EDU with SMTP id AA28459; Tue, 3 Mar 98 12:58:56 EST Received: by m37-318-10.MIT.EDU (SMI-8.6/4.7) id MAA06197; Tue, 3 Mar 1998 12:58:29 -0500 Message-Id: <199803031758.MAA06197@m37-318-10.MIT.EDU> To: stasio@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu Subject: Winning Strategy Date: Tue, 03 Mar 1998 12:58:29 EST From: Edmond Kayi Lee I am a bit confused, did you say 2nd player wins in all those cases? Obviously, since 1st player has a winning strategy, player 2 cannot have a winning strategy, since a winning strategy is defined as the player using the strategy can win all other players. Player 2 can never win player 1 who chooses (1,1) at the beginning and doing the symmetric choice. But for the question whether the first player has other winning strategy, I am not too sure. I cannot find a precise description for any strategy other than the one in the problem set. Edmond  0, unseen,, Summary-line: 3-Mar stasio@mit.edu [53] #Re: [meyer@theory.lcs.mit.edu: Re: ps5 and ps5-solns] *** EOOH *** Mail-from: From stasio@mit.edu Tue Mar 3 07:59:43 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02866; Tue, 03 Mar 98 13:00:41 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id MAA16481; Tue, 3 Mar 1998 12:59:43 -0500 (EST) Date: Tue, 3 Mar 1998 12:59:43 -0500 (EST) Message-Id: <199803031759.MAA16481@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: Re: [meyer@theory.lcs.mit.edu: Re: ps5 and ps5-solns] Just a little correction: problem set 5 has handout number 20, i.e. it is H20-pset5, not H21-pset5 handout 21 is H21-ps4sol Stas Date: Mon, 02 Mar 98 21:40:36 EST From: "Albert R. Meyer" Reply-To: 6042-meyer@theory.lcs.mit.edu ------- Start of forwarded message ------- Date: Mon, 2 Mar 1998 21:36:59 -0500 From: "Albert R. Meyer" To: mroh@MIT.EDU In-reply-to: <199803030221.VAA08498@sci-read-room.MIT.EDU> (mroh@MIT.EDU) Subject: Re: ps5 and ps5-solns Tara's ps5sol is based on slight earlier draft than H21-pset5.ps now on public page. Take a look at the latest H21-pset5 if you have time. Regards, A. Date: Mon, 02 Mar 1998 21:21:18 EST From: "Mark C. Roh" They look good to me (I don't know how the points should be distributed). For #6, I think \log will produce roman characters rather than italicized ones. For the solutions: 5.2a. We should include the base case m=1. 5.7. The problem restatement should be changed to agree with the phrasing in the pset. And the final line in the solution should have "4/3" in the exponent rather than "3/2."  0, unseen,, Summary-line: 3-Mar stasio@mit.edu [75] #[stasio@mit.edu: Re: winning strategy in 3c] *** EOOH *** Mail-from: From stasio@mit.edu Tue Mar 3 08:04:24 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02924; Tue, 03 Mar 98 13:05:23 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id NAA16495; Tue, 3 Mar 1998 13:04:24 -0500 (EST) Date: Tue, 3 Mar 1998 13:04:24 -0500 (EST) Message-Id: <199803031804.NAA16495@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: [stasio@mit.edu: Re: winning strategy in 3c] ------- Start of forwarded message ------- Return-Path: Date: Tue, 3 Mar 1998 12:49:43 -0500 (EST) From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803030028.AA21105@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: (revised) Re: winning strategy in 3c Edmond just pointed out a bug in the following write-up. So let me write it better now. Hopefully it is clear now... >If the first player moves (0,2), the second player moves (1,1) and wins. >Regards, A. No he does not! 1st player: (0,2) 2nd: (1,1) 1st: (2,0) 2nd loses... you can also see that if first picks (0,2), then the following happens: if 2nd picks (0,2), 1st picks (1,1) and wins if 2nd picks (1,0), 1st picks (0,1) and wins if 2nd picks (0,1), 1st picks (1,0) and wins if 2nd picks (0,3), 1st picks (1,2) and then if 2nd picks (1,1), 1st picks (0,2) and wins if 2nd picks (0,2), 1st picks (1,1) and wins if 2nd picks (1,0), 1st picks (0,1) and wins if 2nd picks (0,1), 1st picks (1,0) and wins if 2nd picks (1,2), 1st picks (0,3) and then (the same four cases), i.e. 1st wins In general, I think that the following strategy will do it for all other cases (after 1st picked (0,2)) : if 2nd picks (0,n), 1st picks (1,n-1) if 2nd picks (1,n), 1st picks (0,n+1) but i cant think of a consice way to argue that. let's see: maybe one of them will argue it convincingly and we can publish it on the web afterwards: possibly some of them have discovered this, and possibly were searching for some way to argue this, and couldnt find one... Stas RE: ****** To: stasio@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803022232.RAA14571@enigma.LCS.MIT.EDU> (message from Stanislaw Jarecki on Mon, 2 Mar 1998 17:32:41 -0500 (EST)) Subject: Re: winning strategy in 3c Reply-To: 6042-meyer@theory.lcs.mit.edu If the first player moves (0,2), the second player moves (1,1) and wins. Regards, A. ------- End of forwarded message -------  0, unseen,, Summary-line: 3-Mar kylee@MIT.EDU [22] #Winning Strategy *** EOOH *** Mail-from: From kylee@MIT.EDU Tue Mar 3 08:09:09 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03042; Tue, 03 Mar 98 13:10:10 EST Received: from M37-318-10.MIT.EDU by MIT.EDU with SMTP id AA02047; Tue, 3 Mar 98 13:09:35 EST Received: by m37-318-10.MIT.EDU (SMI-8.6/4.7) id NAA06211; Tue, 3 Mar 1998 13:09:09 -0500 Message-Id: <199803031809.NAA06211@m37-318-10.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Winning Strategy Date: Tue, 03 Mar 1998 13:09:09 EST From: Edmond Kayi Lee I see. I think this works. Seems that the invariant is: every time just after player 1 finished, (0,y) is a possible move iff (1,y-1) is a possible. And y is always decreasing, so eventually it will get down to 1. Edmond  1,, Summary-line: 3-Mar stasio@MIT.EDU [35] #Re: Winning Strategy Mail-from: From stasio@mit.edu Tue Mar 3 08:14:02 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03092; Tue, 03 Mar 98 13:15:01 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id NAA16511; Tue, 3 Mar 1998 13:14:02 -0500 (EST) Date: Tue, 3 Mar 1998 13:14:02 -0500 (EST) Message-Id: <199803031814.NAA16511@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803031809.NAA06211@m37-318-10.MIT.EDU> (message from Edmond Kayi Lee on Tue, 03 Mar 1998 13:09:09 EST) Subject: Re: Winning Strategy *** EOOH *** Date: Tue, 3 Mar 1998 13:14:02 -0500 (EST) From: Stanislaw Jarecki To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803031809.NAA06211@m37-318-10.MIT.EDU> (message from Edmond Kayi Lee on Tue, 03 Mar 1998 13:09:09 EST) Subject: Re: Winning Strategy yeah, you are right, i'll put that in. and you know what: all other moves of the first player allow the second player to run one of these two winning strategies. So that's it: we *mastered* this game completely! ;-) Stas Date: Tue, 03 Mar 1998 13:09:09 EST From: Edmond Kayi Lee I see. I think this works. Seems that the invariant is: every time just after player 1 finished, (0,y) is a possible move iff (1,y-1) is a possible. And y is always decreasing, so eventually it will get down to 1. Edmond  1,, Summary-line: 3-Mar etara@MIT.EDU [11] #handouts for lecture today Mail-from: From etara@MIT.EDU Tue Mar 3 08:35:36 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03443; Tue, 03 Mar 98 13:36:35 EST Received: from M37-312-38.MIT.EDU by MIT.EDU with SMTP id AA10557; Tue, 3 Mar 98 13:36:01 EST Received: by m37-312-38.MIT.EDU (940816.SGI.8.6.9/4.7) id NAA01487; Tue, 3 Mar 1998 13:35:36 -0500 Message-Id: <199803031835.NAA01487@m37-312-38.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: handouts for lecture today Date: Tue, 03 Mar 1998 13:35:36 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: handouts for lecture today Date: Tue, 03 Mar 1998 13:35:36 EST From: Tara B Schenkel i got the handouts for today and will bring them to lecture. tara  0, unseen,, Summary-line: 3-Mar etara@MIT.EDU [28] #new 6042 sections *** EOOH *** Mail-from: From etara@MIT.EDU Tue Mar 3 14:39:16 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08496; Tue, 03 Mar 98 19:40:28 EST Received: from M37-312-39.MIT.EDU by MIT.EDU with SMTP id AA28357; Tue, 3 Mar 98 19:39:50 EST Received: by m37-312-39.MIT.EDU (940816.SGI.8.6.9/4.7) id TAA18207; Tue, 3 Mar 1998 19:39:16 -0500 Message-Id: <199803040039.TAA18207@m37-312-39.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Subject: new 6042 sections Date: Tue, 03 Mar 1998 19:39:16 EST From: Tara B Schenkel hi everyone- the plan for new recitations is to have one 12-2, and the other 3-5. if anyone from sections at 9-11, 10-12, 1-3, or 2-4 can switch into either time, please send me email. (it's definitley to your advantage to be in a smaller section, since your TA will have more time for you.) thanks. tara  0, unseen,, Summary-line: 3-Mar kylee@MIT.EDU [23] #quiz ideas *** EOOH *** Mail-from: From kylee@MIT.EDU Tue Mar 3 15:55:05 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09168; Tue, 03 Mar 98 20:56:05 EST Received: from W20-575-82.MIT.EDU by MIT.EDU with SMTP id AA12642; Tue, 3 Mar 98 20:55:31 EST Received: by w20-575-82.MIT.EDU (940816.SGI.8.6.9/4.7) id UAA23857; Tue, 3 Mar 1998 20:55:05 -0500 Message-Id: <199803040155.UAA23857@w20-575-82.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: quiz ideas Date: Tue, 03 Mar 1998 20:55:05 EST From: Edmond Kayi Lee Hi, I have written some ideas on the quiz. It is crypted in deve/draft directory named q1-kylee. Please take a look. Thanks, Edmond  0, unseen,, Summary-line: 4-Mar dmjones@theory.lcs.mit.ed [21] #Problems sets and class lists *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Wed Mar 4 08:45:13 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA18071; Wed, 04 Mar 98 13:45:56 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA11752; Wed, 04 Mar 98 13:45:13 EST Date: Wed, 04 Mar 98 13:45:13 EST Message-Id: <199803041845.AA11752@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: Problems sets and class lists Two students -- Richard Li and Xiaoran Li -- left their problem sets on my desk yesterday afternoon. I'll leave them on top of the file cabinet just inside my office door. Tara: I'll also leave a copy of the Registrar's class list for 6.042 there for you. David.  0, unseen,, Summary-line: 4-Mar mroh@MIT.EDU [52] #recitation 5 *** EOOH *** Mail-from: From mroh@MIT.EDU Wed Mar 4 10:25:19 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19372; Wed, 04 Mar 98 15:26:19 EST Received: from HAYDEN-8.MIT.EDU by MIT.EDU with SMTP id AA20298; Wed, 4 Mar 98 15:25:20 EST Received: by hayden-8.MIT.EDU (SMI-8.6/4.7) id PAA29882; Wed, 4 Mar 1998 15:25:19 -0500 Message-Id: <199803042025.PAA29882@hayden-8.MIT.EDU> To: 6042-staff@theory.lcs Subject: recitation 5 Date: Wed, 04 Mar 1998 15:25:19 EST From: "Mark C. Roh" I'm not sure how to solve team problem 1 in a blatant "series" kind of way. It seems to me that the best solution is a linear recurrence, so that this problem lends itself to a recitation a couple weeks down the line. If we have a sol'n for problem 1 that uses geometric series, that's great. Otherwise, maybe we should think about reactivating (boring but useful) problem 2? I think that making f_i(n)=O(1) would be a useful simplification for Friday. And problem 4 seems fine too. Mark correction: There's a fencepost error at the bottom of page 3, which I've outlined below. Would it be acceptable to use +'s and ...'s rather than sigma notation for this part on Friday? I'm afraid that using sigma notation might confuse the students enough that they'd miss the essential point. The error: in the final equation on page 3, the second sigma should be indexed from i=1 to n+1. Then in the first equation on the following page, the numerator should read x-x^{n+2} rather than 1-x^{n+2}. Similarly for the second equation, which should be x-x^{n+2}-... (1-x). The final equation is correct. I'm not sure about the protocol regarding editing other people's files, so I left the original document untouched. The revised code is included below. Mark The general approach is to add the $(n+1)$st term to both sides, $$S_n + (n+1)x^{n+1} = 0 + \sum_{i=0}^n(i+1)x^{i+1}$$ $$S_n + (n+1)x^{n+1} = x\sum_{i=0}^n ix^i + \sum_{i=1}^{n+1} x^{i}$$ Then find $S_n$ in the expression on the right, and rename that part, $$S_n + (n+1)x^{n+1} = xS_n + {x - x^{n+2} \over 1-x}$$ Now bring terms involving $S_n$ to one side and solve, $$(1-x)S_n = {x-x^{n+2} - (n+1)x^{n+1}(1-x) \over (1-x)}$$ $$ S_n= {x-(n+1)x^{n+1}+nx^{n+2} \over (1-x)^2}$$  1,, Summary-line: 4-Mar to: mroh@MIT.EDU [84] #Re: recitation 5 Mail-from: From meyer@theory.lcs.mit.edu Wed Mar 4 13:08:22 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21374; Wed, 04 Mar 98 18:07:58 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA01498; Wed, 04 Mar 98 18:08:22 EST Date: Wed, 04 Mar 98 18:08:22 EST Message-Id: <199803042308.AA01498@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mroh@MIT.EDU In-Reply-To: <199803042025.PAA29882@hayden-8.MIT.EDU> (mroh@MIT.EDU) Subject: Re: recitation 5 Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 04 Mar 98 18:08:22 EST From: "Albert R. Meyer" To: mroh@MIT.EDU In-Reply-To: <199803042025.PAA29882@hayden-8.MIT.EDU> (mroh@MIT.EDU) Subject: Re: recitation 5 Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu TEAM PROB 1 SOLN: the state of the system of glasses/wine/water at the beginning of a round of pouring and pouring back is determined by the total amount of wine in the first glass. Initially, the first glass contains one pint of wine and no water. Suppose the first glass contains w pints of wine (0<= w <= 1). Since we're at the beginning of a round, it contains a pint of liquid, and therefore contains 1-w pints of water. The second glass contains the rest of the wine and water. Pouring 1/3 pint from first glass to second leaves 2/3 pint of liquid and (2/3)*w wine in the first glass, and 4/3 pints liquid and 1 - 2/3*w wine in the second glass. Pouring 1/3 pint back from second into first transfers a proportion of (1/3)/(4/3) of the wine in the second glass into the first. So the round completes with both glasses containing a pint of liquid, and the first glass containing (2/3)*w + (1/4)(1- (2/3)*w) = 1/4 + w/2 wine. After the second round, the forat glass contains 1/4 + (1/4 + w/2)/2 = 1/4 + 1/8 + w/2^2 wine, after the nth round w/2^n + Sigma_{i=0}^n 2^{-(i+2)} = w/2^n + (1/4)(1 - (1/2)^{n+1})/(1 - 1/2) = w/2^n + 1/8 - (1/2)^{n+4} Will fix fencepost error later tonight. Thanks, A. Date: Wed, 04 Mar 1998 15:25:19 EST From: "Mark C. Roh" I'm not sure how to solve team problem 1 in a blatant "series" kind of way. It seems to me that the best solution is a linear recurrence, so that this problem lends itself to a recitation a couple weeks down the line. If we have a sol'n for problem 1 that uses geometric series, that's great. Otherwise, maybe we should think about reactivating (boring but useful) problem 2? I think that making f_i(n)=O(1) would be a useful simplification for Friday. And problem 4 seems fine too. Mark correction: There's a fencepost error at the bottom of page 3, which I've outlined below. Would it be acceptable to use +'s and ...'s rather than sigma notation for this part on Friday? I'm afraid that using sigma notation might confuse the students enough that they'd miss the essential point. The error: in the final equation on page 3, the second sigma should be indexed from i=1 to n+1. Then in the first equation on the following page, the numerator should read x-x^{n+2} rather than 1-x^{n+2}. Similarly for the second equation, which should be x-x^{n+2}-... (1-x). The final equation is correct. I'm not sure about the protocol regarding editing other people's files, so I left the original document untouched. The revised code is included below. Mark The general approach is to add the $(n+1)$st term to both sides, $$S_n + (n+1)x^{n+1} = 0 + \sum_{i=0}^n(i+1)x^{i+1}$$ $$S_n + (n+1)x^{n+1} = x\sum_{i=0}^n ix^i + \sum_{i=1}^{n+1} x^{i}$$ Then find $S_n$ in the expression on the right, and rename that part, $$S_n + (n+1)x^{n+1} = xS_n + {x - x^{n+2} \over 1-x}$$ Now bring terms involving $S_n$ to one side and solve, $$(1-x)S_n = {x-x^{n+2} - (n+1)x^{n+1}(1-x) \over (1-x)}$$ $$ S_n= {x-(n+1)x^{n+1}+nx^{n+2} \over (1-x)^2}$$  1,, Summary-line: 4-Mar etara@MIT.EDU [27] #new 6.042 sections Mail-from: From etara@MIT.EDU Wed Mar 4 13:52:45 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21928; Wed, 04 Mar 98 18:54:29 EST Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA21343; Wed, 4 Mar 98 18:52:46 EST Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id SAA12478; Wed, 4 Mar 1998 18:52:45 -0500 Message-Id: <199803042352.SAA12478@m37-312-37.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Subject: new 6.042 sections Date: Wed, 04 Mar 1998 18:52:45 EST From: Tara B Schenkel *** EOOH *** To: 6042-students@theory.lcs.mit.edu Subject: new 6.042 sections Date: Wed, 04 Mar 1998 18:52:45 EST From: Tara B Schenkel section assignments have been updated again, so if you requested a change, check your assignment. for everyone's information, the two new sections are: F 12-2 24-402 F 3-5 26-168 tara  1,, Summary-line: 4-Mar mroh@MIT.EDU [23] #pset 4 Mail-from: From mroh@MIT.EDU Wed Mar 4 14:48:47 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22434; Wed, 04 Mar 98 19:49:07 EST Received: from EXODUS.MIT.EDU by MIT.EDU with SMTP id AA10646; Wed, 4 Mar 98 19:48:33 EST From: mroh@MIT.EDU Received: by exodus.MIT.EDU (8.6.10/4.7) id TAA07664; Wed, 4 Mar 1998 19:48:47 -0500 Message-Id: <199803050048.TAA07664@exodus.MIT.EDU> To: 6042-staff@theory.lcs Subject: pset 4 Date: Wed, 04 Mar 1998 19:48:47 EST *** EOOH *** From: mroh@MIT.EDU To: 6042-staff@theory.lcs Subject: pset 4 Date: Wed, 04 Mar 1998 19:48:47 EST Those of you who are giving students to me, could you bring their problem sets with you to lecture tomorrow? thanks! Mark  1,, Summary-line: 4-Mar etara@MIT.EDU [19] #ps5 solutions Mail-from: From etara@MIT.EDU Wed Mar 4 14:49:12 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22445; Wed, 04 Mar 98 19:50:13 EST Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA10972; Wed, 4 Mar 98 19:49:40 EST Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id TAA12556; Wed, 4 Mar 1998 19:49:13 -0500 Message-Id: <199803050049.TAA12556@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps5 solutions Date: Wed, 04 Mar 1998 19:49:12 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: ps5 solutions Date: Wed, 04 Mar 1998 19:49:12 EST From: Tara B Schenkel solutions to ps5 (for all problems except 7) are in the devel directory. tara  1,, Summary-line: 4-Mar dmjones@theory.lcs.mit.ed [17] #PS5 solutions Mail-from: From dmjones@theory.lcs.mit.edu Wed Mar 4 15:00:22 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22574; Wed, 04 Mar 98 20:01:05 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA12294; Wed, 04 Mar 98 20:00:22 EST Date: Wed, 04 Mar 98 20:00:22 EST Message-Id: <199803050100.AA12294@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: PS5 solutions *** EOOH *** Date: Wed, 04 Mar 98 20:00:22 EST From: "David M. Jones" To: 6042-staff Subject: PS5 solutions The copies of the PS5 solutions for tomorrow's lecture are on the file cabinets outside my office. David.  1,, Summary-line: 4-Mar to: dmjones@theory.lcs.mi [29] #PS4 NOT 5, solutions Mail-from: From meyer@theory.lcs.mit.edu Wed Mar 4 15:33:53 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22913; Wed, 04 Mar 98 20:33:30 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA01590; Wed, 04 Mar 98 20:33:53 EST Date: Wed, 04 Mar 98 20:33:53 EST Message-Id: <199803050133.AA01590@stork.lcs.mit.edu> From: "Albert R. Meyer" To: dmjones@theory.lcs.mit.edu Cc: 6042-staff In-Reply-To: <199803050100.AA12294@sandpiper.lcs.mit.edu> (dmjones@theory.lcs.mit.edu) Subject: PS4 NOT 5, solutions Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 04 Mar 98 20:33:53 EST From: "Albert R. Meyer" To: dmjones@theory.lcs.mit.edu Cc: 6042-staff In-Reply-To: <199803050100.AA12294@sandpiper.lcs.mit.edu> (dmjones@theory.lcs.mit.edu) Subject: PS4 NOT 5, solutions Reply-To: 6042-meyer@theory.lcs.mit.edu That better be PS4 solutions. Double check, please. Thanks, A. Date: Wed, 04 Mar 98 20:00:22 EST From: "David M. Jones" The copies of the PS5 solutions for tomorrow's lecture are on the file cabinets outside my office. David.  0, unseen,, Summary-line: 4-Mar dmjones@theory.lcs.mit.ed [25] #Re: PS5 solutions *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Wed Mar 4 16:00:41 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23191; Wed, 04 Mar 98 21:01:29 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA12339; Wed, 04 Mar 98 21:00:41 EST Date: Wed, 04 Mar 98 21:00:41 EST Message-Id: <199803050200.AA12339@sandpiper.lcs.mit.edu> From: "David M. Jones" To: etara@MIT.EDU Cc: 6042-staff In-Reply-To: <199803050101.UAA12601@m37-312-37.MIT.EDU> (message from Tara B Schenkel on Wed, 04 Mar 1998 20:01:42 EST) Subject: Re: PS5 solutions > Date: Wed, 04 Mar 1998 20:01:42 EST > From: Tara B Schenkel > > >The copies of the PS5 solutions for tomorrow's lecture are on the file > >cabinets outside my office. > > i hope that's ps4 solutions, since ps5 wasn't due yet... Yes, it's ps4, not 5.  0, unseen,, Summary-line: 4-Mar etara@MIT.EDU [27] #PS4 grading *** EOOH *** Mail-from: From etara@MIT.EDU Wed Mar 4 16:59:14 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23667; Wed, 04 Mar 98 22:00:14 EST Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA06089; Wed, 4 Mar 98 21:59:40 EST Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id VAA12765; Wed, 4 Mar 1998 21:59:14 -0500 Message-Id: <199803050259.VAA12765@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: PS4 grading Date: Wed, 04 Mar 1998 21:59:14 EST From: Tara B Schenkel so what are we going to do about 4f? i suggest we just give them all the 8 points for it, since 1. it'll make them feel better 2. it won't make a difference at the end of the term anyway 3. i already started grading and i really don't want to go back and redistribute points what does everyone think? tara  1,, Summary-line: 5-Mar to: etara@MIT.EDU [32] #Re: PS4 grading Mail-from: From meyer@theory.lcs.mit.edu Wed Mar 4 19:15:47 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24646; Thu, 05 Mar 98 00:15:23 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA01675; Thu, 05 Mar 98 00:15:47 EST Date: Thu, 05 Mar 98 00:15:47 EST Message-Id: <199803050515.AA01675@stork.lcs.mit.edu> From: "Albert R. Meyer" To: etara@MIT.EDU In-Reply-To: <199803050259.VAA12765@m37-312-37.MIT.EDU> (message from Tara B Schenkel on Wed, 04 Mar 1998 21:59:14 EST) Subject: Re: PS4 grading Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Thu, 05 Mar 98 00:15:47 EST From: "Albert R. Meyer" To: etara@MIT.EDU In-Reply-To: <199803050259.VAA12765@m37-312-37.MIT.EDU> (message from Tara B Schenkel on Wed, 04 Mar 1998 21:59:14 EST) Subject: Re: PS4 grading Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu YES, give them all 8 pts, but write a "nice" on any you see from now on that got it right. Regards, A. Date: Wed, 04 Mar 1998 21:59:14 EST From: Tara B Schenkel so what are we going to do about 4f? i suggest we just give them all the 8 points for it, since 1. it'll make them feel better 2. it won't make a difference at the end of the term anyway 3. i already started grading and i really don't want to go back and redistribute points what does everyone think? tara  0, unseen,, Summary-line: 5-Mar meyer@theory.lcs.mit.edu [25] #rec5 notes *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Mar 4 20:13:06 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24832; Thu, 05 Mar 98 01:12:41 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA03350; Thu, 05 Mar 98 01:13:06 EST Date: Thu, 05 Mar 98 01:13:06 EST Message-Id: <199803050613.AA03350@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: rec5 notes Final draft of rec 5 notes/problems/solutions is in the devel dir and on the staffonly webpage. You should look at it soon, since I've thrown in a (simple) Taylor series argument you haven't seen before, plus a new team problem part on O(). Also, I've collected all the little-oh and ~ (asymptotic equality) together in a "for the record" subsection which IS NOT INTENDED FOR RECITATION COVERAGE. Regards, A.  0, unseen,, Summary-line: 5-Mar kylee@mit.edu [31] #Error in Rec note 5 *** EOOH *** Mail-from: From kylee@mit.edu Wed Mar 4 20:44:33 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24936; Thu, 05 Mar 98 01:45:34 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id BAA09988; Thu, 5 Mar 1998 01:44:34 -0500 Message-Id: <199803050644.BAA09988@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Error in Rec note 5 Date: Thu, 05 Mar 1998 01:44:33 EST From: Edmond Kayi Lee There is an error in the Taylor Series proof, in the third equation: c^x>1+(ln c)x>(1+ln c)x for x>1, but the second inequality is not true. It should be corrected as 1+(ln c)x>(ln c)x for x>0. That means, we use the constant (ln c) instead of (1+ln c). Also, there are missing equality signs in the solution of team problem 1, in the array of equations. P.S. How to pronounce L'Hopital's rule? I never figure out! Guess I'll ask in tomorrow's lecture :) Edmond  0, unseen,, Summary-line: 5-Mar meyer@theory.lcs.mit.edu [44] #Re: Error in Rec note 5 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 5 04:50:35 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27864; Thu, 05 Mar 98 09:50:11 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA03423; Thu, 05 Mar 98 09:50:35 EST Date: Thu, 05 Mar 98 09:50:35 EST Message-Id: <199803051450.AA03423@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803050644.BAA09988@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Thu, 05 Mar 1998 01:44:33 EST) Subject: Re: Error in Rec note 5 Reply-To: 6042-meyer@theory.lcs.mit.edu Corrections entered. I believe it's LOW-PEE-TAL with TAL pronounced as in TALLY. Thanks, A. Date: Thu, 05 Mar 1998 01:44:33 EST From: Edmond Kayi Lee There is an error in the Taylor Series proof, in the third equation: c^x>1+(ln c)x>(1+ln c)x for x>1, but the second inequality is not true. It should be corrected as 1+(ln c)x>(ln c)x for x>0. That means, we use the constant (ln c) instead of (1+ln c). Also, there are missing equality signs in the solution of team problem 1, in the array of equations. P.S. How to pronounce L'Hopital's rule? I never figure out! Guess I'll ask in tomorrow's lecture :) Edmond  0, unseen,, Summary-line: 5-Mar meyer@theory.lcs.mit.edu [20] #Freshman reports *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 5 12:01:25 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01906; Thu, 05 Mar 98 17:01:01 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA03895; Thu, 05 Mar 98 17:01:25 EST Date: Thu, 05 Mar 98 17:01:25 EST Message-Id: <199803052201.AA03895@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: Freshman reports Reply-To: 6042-meyer@theory.lcs.mit.edu The Dean's office asks us to prepare grade records for Freshman, and contact early next week any whose work suggests there is a risk they'll fail the course. Please identify and bring grade info ti staff mtng Tue for any "at risk" Freshman in your sections. Thanks, A.  0, unseen,, Summary-line: 5-Mar meyer@theory.lcs.mit.edu [32] #overfull sections *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 5 13:07:28 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02884; Thu, 05 Mar 98 18:07:03 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA03981; Thu, 05 Mar 98 18:07:28 EST Date: Thu, 05 Mar 98 18:07:28 EST Message-Id: <199803052307.AA03981@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: overfull sections Reply-To: 6042-meyer@theory.lcs.mit.edu Remind your students about the opportunity to switch into smaller sections. I'd like to make further efforts to reduce the size of the 3 sections with 13 or more students: Section 1: Alex 9--11; Section 4: Stas 2--4, Section 8: Al 2--4. At the beginning of recitation tomorrow, have all these students give you a piece of paper indicating their Friday schedule and preferred other times for recitation. (We probably won't make use of this info other than to ask a few people if they are willing to switch, but asking them for the info may prompt some voluntary switches.) If 4 or more students bring Rosen to section, its fun to spend 5 min trying the stacking experiment: can get a book wholly beyond the table edge. Theoretically doable w/4 books, but more stable with 5 or 6. Could be a good idea to bring a ruler to measure the offsets. Regards, A.  1,, Summary-line: 5-Mar amsduran@mit.edu [20] #ps3 problem 5 grading Mail-from: From amsduran@NW61-431-1.MIT.EDU Thu Mar 5 15:11:23 1998 Return-Path: Received: from NW61-431-1.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03808; Thu, 05 Mar 98 20:12:25 EST Received: (from amsduran@localhost) by NW61-431-1.MIT.EDU (8.8.5/8.8.5) id UAA05707; Thu, 5 Mar 1998 20:11:24 -0500 From: "Alexander M. S. Duran" Message-Id: <199803060111.UAA05707@NW61-431-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps3 problem 5 grading Date: Thu, 05 Mar 1998 20:11:23 EST *** EOOH *** From: "Alexander M. S. Duran" To: 6042-staff@theory.lcs.mit.edu Subject: ps3 problem 5 grading Date: Thu, 05 Mar 1998 20:11:23 EST As I finish up grading ps3, I've noticed that a lot of students attempted to use sort of a recursive argument without being very formal about it at all. Essentially they say (for a, for example) look at Wn, keep removing external vertices (deg <=3) until you get something where all degrees are three (or less). Now I've been consistently counting off about 4 points for the first part of 5 if they do this, and 3 points for b and c if they do this. I'd like to encourage students to be more rigorous in their proofs, but I also dislike counting those same points off of 80% of my section. Any suggestions? --Alex amsduran@mit.edu  0, unseen,, Summary-line: 5-Mar etara@MIT.EDU [20] #ps5 solns *** EOOH *** Mail-from: From etara@MIT.EDU Thu Mar 5 18:26:43 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05303; Thu, 05 Mar 98 23:27:44 EST Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA07444; Thu, 5 Mar 98 23:26:44 EST Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id XAA20900; Thu, 5 Mar 1998 23:26:43 -0500 Message-Id: <199803060426.XAA20900@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps5 solns Date: Thu, 05 Mar 1998 23:26:43 EST From: Tara B Schenkel i put another draft of ps5solns in the devel directory. could someome take a look at them? thanks. tara  0, unseen,, Summary-line: 6-Mar kylee@mit.edu [23] #Team Problems 5 *** EOOH *** Mail-from: From kylee@mit.edu Thu Mar 5 20:13:58 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05972; Fri, 06 Mar 98 01:15:00 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id BAA10674; Fri, 6 Mar 1998 01:13:59 -0500 Message-Id: <199803060613.BAA10674@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Team Problems 5 Date: Fri, 06 Mar 1998 01:13:58 EST From: Edmond Kayi Lee Seems that the team problems 5 is not ready. I have made one by myself. It should look fine except that I didn't change the handout number. It's on the staffonly page. Also a Latex version in deve/sections/teamprobs5.tex Edmond  0, unseen,, Summary-line: 6-Mar meyer@theory.lcs.mit.edu [43] #Re: Team Problems 5 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Mar 6 00:51:56 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07043; Fri, 06 Mar 98 05:51:31 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA04694; Fri, 06 Mar 98 05:51:56 EST Date: Fri, 06 Mar 98 05:51:56 EST Message-Id: <199803061051.AA04694@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803060613.BAA10674@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Fri, 06 Mar 1998 01:13:58 EST) Subject: Re: Team Problems 5 Reply-To: 6042-meyer@theory.lcs.mit.edu Oops, yes, I realized myself at 5am that I forgot to extract the team problems handout from the rec5 notes, and got up to prepare it. Thank you Edmond for taking the initiative to do this yourself. I have fixed the numbering, and put links to the files on the staffonly/ dir. The ps files themselves are in the PUBLIC sections/ dir; public links will get added after recitations this eve. I'll have David make copies for you, but Alex 9am section better make your own copies. Regards, A. Date: Fri, 06 Mar 1998 01:13:58 EST From: Edmond Kayi Lee Seems that the team problems 5 is not ready. I have made one by myself. It should look fine except that I didn't change the handout number. It's on the staffonly page. Also a Latex version in deve/sections/teamprobs5.tex Edmond  1,, Summary-line: 6-Mar meyer@theory.lcs.mit.edu [43] #Re: ps3 problem 5 grading Mail-from: From meyer@theory.lcs.mit.edu Fri Mar 6 01:24:38 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07173; Fri, 06 Mar 98 06:24:13 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA04722; Fri, 06 Mar 98 06:24:38 EST Date: Fri, 06 Mar 98 06:24:38 EST Message-Id: <199803061124.AA04722@stork.lcs.mit.edu> From: "Albert R. Meyer" To: amsduran@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803060111.UAA05707@NW61-431-1.MIT.EDU> (amsduran@mit.edu) Subject: Re: ps3 problem 5 grading Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Fri, 06 Mar 98 06:24:38 EST From: "Albert R. Meyer" To: amsduran@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803060111.UAA05707@NW61-431-1.MIT.EDU> (amsduran@mit.edu) Subject: Re: ps3 problem 5 grading Reply-To: 6042-meyer@theory.lcs.mit.edu I'd say it's harsh to take off 4 out of 7 points for a clear, correct, but informal "recursive" proof of the kind you suggest. But 4 points off is completely within your discretion as TA; no need to regrade. Personally, I'd have taken off about 2 points and added a note saying something like "It's clear you understand the argument here, but we'd like you to learn how to give a crisp explanation with an explicit induction hypothesis. Take a look at the solution to see what a full credit answer should be." If 80% of them fell in this trap, it is worth spending a few minutes atthe start of recitation to show them the kind of proof by induction we were looking for. Regards, A. From: "Alexander M. S. Duran" Date: Thu, 05 Mar 1998 20:11:23 EST As I finish up grading ps3, I've noticed that a lot of students attempted to use sort of a recursive argument without being very formal about it at all. Essentially they say (for a, for example) look at Wn, keep removing external vertices (deg <=3) until you get something where all degrees are three (or less). Now I've been consistently counting off about 4 points for the first part of 5 if they do this, and 3 points for b and c if they do this. I'd like to encourage students to be more rigorous in their proofs, but I also dislike counting those same points off of 80% of my section. Any suggestions? --Alex amsduran@mit.edu  0, unseen,, Summary-line: 6-Mar meyer@theory.lcs.mit.edu [21] #Team Problems 5 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Mar 6 01:30:18 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07211; Fri, 06 Mar 98 06:29:53 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA04737; Fri, 06 Mar 98 06:30:18 EST Date: Fri, 06 Mar 98 06:30:18 EST Message-Id: <199803061130.AA04737@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: Team Problems 5 Handout 22 Team Problems 5 should be sitting in et (else you can get cpy off staffonly webpage. Source is in H22-teamprobs5.tex in 6042 devel sections/). It's just one side. Run off 130 copies for staff pickup, please. Thanks, A.  0, unseen,, Summary-line: 6-Mar mroh@MIT.EDU [32] #error - team problem 1 *** EOOH *** Mail-from: From mroh@MIT.EDU Fri Mar 6 06:39:22 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA10064; Fri, 06 Mar 98 11:40:23 EST Received: from M66-080-16.MIT.EDU by MIT.EDU with SMTP id AA06793; Fri, 6 Mar 98 11:39:50 EST Received: by m66-080-16.MIT.EDU (940816.SGI.8.6.9/4.7) id LAA12615; Fri, 6 Mar 1998 11:39:22 -0500 Message-Id: <199803061639.LAA12615@m66-080-16.MIT.EDU> To: 6042-staff@theory.lcs Subject: error - team problem 1 Date: Fri, 06 Mar 1998 11:39:22 EST From: "Mark C. Roh" Sorry I forgot to mention this earlier, but there's an error in the sol'n to team problem 1. The second-to-last paragraph reads, "w=1 initially..." but the first glass actually starts with 0 pints of wine. One way to fix the error is to let w to be amount of water in the first glass, then end by solving for 1-w. Sorry this is probably coming to late to be of any hlep! Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, Summary-line: 6-Mar flattop@MIT.EDU [36] #Help Line *** EOOH *** Mail-from: From flattop@MIT.EDU Fri Mar 6 09:16:45 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12061; Fri, 06 Mar 98 14:17:48 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA14181; Fri, 6 Mar 98 14:16:48 EST Received: from M38-370-11.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA08878; Fri, 6 Mar 98 14:16:46 EST Sender: flattop@MIT.EDU Message-Id: <35004B9D.5C82@MIT.EDU> Date: Fri, 06 Mar 1998 14:16:45 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6.042-students@theory.lcs.mit.edu Subject: Help Line Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit This Sunday and Monday night, there will be helpers logged on to assist you with any questions with PS#5. Hopefully you'll get a reply to your e-mail within 10 minutes. Sunday: 9p.m. to 12 midnight Monday: 9p.m. to 2 a.m. Please e-mail <6.042-help@theory.lcs.mit.edu> Thanks jack p.s. If you need help in person, rather than e-mail, e-mail me and I'll try to work something out. I held "office hours" last week, but I'm not sure if I can do it again.  0, unseen,, Summary-line: 6-Mar meyer@theory.lcs.mit.edu [60] #[MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Mar 6 11:07:06 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13439; Fri, 06 Mar 98 16:06:41 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05281; Fri, 06 Mar 98 16:07:06 EST Date: Fri, 06 Mar 98 16:07:06 EST Message-Id: <199803062107.AA05281@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: [MAILER-DAEMON@theory.lcs.mit.edu: Returned mail: Host unknown] ------- Start of forwarded message ------- Date: Fri, 06 Mar 98 16:04:40 EST From: MAILER-DAEMON@theory.lcs.mit.edu (Mail Delivery Subsystem) Subject: Returned mail: Host unknown To: meyer ----- Transcript of session follows ----- 550 theory.lcs (tcp)... 550 Host unknown 554 <6042-staff@theory.lcs>... 550 Host unknown (Authoritative answer from name server) ----- Unsent message follows ----- Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13422; Fri, 06 Mar 98 16:04:40 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05256; Fri, 06 Mar 98 16:05:05 EST Date: Fri, 06 Mar 98 16:05:05 EST Message-Id: <199803062105.AA05256@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mroh@MIT.EDU Cc: 6042-staff@theory.lcs In-Reply-To: <199803061639.LAA12615@m66-080-16.MIT.EDU> (mroh@MIT.EDU) Subject: Re: error - team problem 1 Reply-To: 6042-meyer@theory.lcs.mit.edu fixed. Regards, A. Date: Fri, 06 Mar 1998 11:39:22 EST From: "Mark C. Roh" Sorry I forgot to mention this earlier, but there's an error in the sol'n to team problem 1. The second-to-last paragraph reads, "w=1 initially..." but the first glass actually starts with 0 pints of wine. One way to fix the error is to let w to be amount of water in the first glass, then end by solving for 1-w. Sorry this is probably coming to late to be of any hlep! Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876 ------- End of forwarded message -------  0, unseen,, Summary-line: 6-Mar meyer@theory.lcs.mit.edu [18] #how'd it go? *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Mar 6 16:09:34 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02455; Fri, 06 Mar 98 21:09:08 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05557; Fri, 06 Mar 98 21:09:34 EST Date: Fri, 06 Mar 98 21:09:34 EST Message-Id: <199803070209.AA05557@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: how'd it go? Let me know how the teamprobs worked out this week. Other comments on thsi week's recitations? Thanks, A.  0, unseen,, Summary-line: 6-Mar kylee@mit.edu [21] #Error in Recitation Note 5 *** EOOH *** Mail-from: From kylee@mit.edu Fri Mar 6 16:39:17 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02587; Fri, 06 Mar 98 21:40:19 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id VAA19878; Fri, 6 Mar 1998 21:39:17 -0500 Message-Id: <199803070239.VAA19878@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Error in Recitation Note 5 Date: Fri, 06 Mar 1998 21:39:17 EST From: Edmond Kayi Lee I think there is an error in the first page of rec. note 5. For the nasty function just before Theorem 1.2, I think it is theta of (3^x)/sqrt(x) rather than just 3^x. Edmond  0, unseen,, Summary-line: 7-Mar meyer@theory.lcs.mit.edu [34] #Re: Error in Recitation Note 5 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sat Mar 7 00:48:57 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03897; Sat, 07 Mar 98 05:48:31 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05809; Sat, 07 Mar 98 05:48:57 EST Date: Sat, 07 Mar 98 05:48:57 EST Message-Id: <199803071048.AA05809@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803070239.VAA19878@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Fri, 06 Mar 1998 21:39:17 EST) Subject: Re: Error in Recitation Note 5 Reply-To: 6042-meyer@theory.lcs.mit.edu sqrt{x} is fixed. I also added a section with NONcalculus proofs of x = O((1+epsilon)^x) and ln x = O(x^epsilon). Regards, A. Date: Fri, 06 Mar 1998 21:39:17 EST From: Edmond Kayi Lee I think there is an error in the first page of rec. note 5. For the nasty function just before Theorem 1.2, I think it is theta of (3^x)/sqrt(x) rather than just 3^x. Edmond  0, unseen,, Summary-line: 7-Mar mroh@MIT.EDU [39] #ps5 sol'ns *** EOOH *** Mail-from: From mroh@MIT.EDU Sat Mar 7 12:04:07 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06393; Sat, 07 Mar 98 17:05:12 EST Received: from HAYDEN-5.MIT.EDU by MIT.EDU with SMTP id AA02543; Sat, 7 Mar 98 17:04:39 EST Received: by hayden-5.MIT.EDU (SMI-8.6/4.7) id RAA17613; Sat, 7 Mar 1998 17:04:07 -0500 Message-Id: <199803072204.RAA17613@hayden-5.MIT.EDU> To: etara@MIT.EDU Cc: 6042-staff@theory.lcs Subject: ps5 sol'ns Date: Sat, 07 Mar 1998 17:04:07 EST From: "Mark C. Roh" For the well ordering proof in problem 2, we need to point out that 1 is not an element of S, for the same reason that we need base cases in inductive proofs. Once we've verified that 1 is not in S, we know that m > 1. Then m-1 > 0. Since m-1 > 0 and m-1 is not in S, the telescoping sum formula must work for m-1. Then we can continue with the proof. For problem 7, the first term immediately after the "as follows" should have a 4 in the denominator. Also, the (c_1)/4 -1 term at the end is problematic if c_1 < 4. I think it works better if we use (c_1)/8, and pick n > \sqrt{{{8{\abs s}} \over {c_1}}}. Then we can say, -{{c_1} \over 8} n^2 < s {{c_1} \over 8} n^2 \leq {{c_1} \over 4} n^2 + s hence {{c_1} \over 8} n^2 < _Sigma_{i=1} etc. Parts of problem 8 run over the right side of the page, at least on the Athena printers. Everything else looks right to me. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, Summary-line: 7-Mar meyer@theory.lcs.mit.edu [67] #ps5sol *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sat Mar 7 13:29:04 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06849; Sat, 07 Mar 98 18:28:38 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06046; Sat, 07 Mar 98 18:29:04 EST Date: Sat, 07 Mar 98 18:29:04 EST Message-Id: <199803072329.AA06046@stork.lcs.mit.edu> From: "Albert R. Meyer" To: etara Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: ps5sol ** Make sure you yank your solns into the text of the latest pset5 source (eg, the residual "[ pts]" in your version are not in the latest source). ** prob 1: insert explict statement: "present value of repayment is V' = x Sigma_[j=5}^{14} 1/p^j where p = 1/1.08. Therefore, setting V= V', we conclude x = ...." ** prob 2. Easier to state lemma as Sigma_{j=0}^{n-1} a_j - a_{j+1} = a_0 - a_n Stated this way, you wojn't have to "mmove a factor of -1..." Also, keep your "Informally, we can say that the -a_{j+1} of one term will be cancelled by the initial a_{j+1} of the second term, and ...." Then add: "Formally, this equation can be verified by an easy induction which WE OMIT." And do omit it, since the proof is easy and tedious. ** prob 3: insert Sigma (1+ 2j) right after Sigma (log2(2) + log2(4^j)) ** prob 4: you're reassociating the sums prematurely: (a) should be = Sigma_i [(xy)^i Sigma_j (y^2)^j = Sigma (xy)^i(y^2/(1-y^2)) = (y^2/(1-y^2)) Sigma (xy)^i = (y^2/(1-y^2)) (xy/(1-xy)) likewise for part (b) ** 5(c) why not c=2? ** 6. How about including the naive, nonintegral argument used in prob 7 here first, then offer the integral method as giving tighter bounds? Here's the naive the arg again: "There are n terms in the sum and each term is at most n^6, so the sum is <= nn^6 = n^7 = O(n^7). On the other hand, at least (n-1)/2 of the terms are as large as (n-1)/2, so Sum \geq (n-1)/2 [(n-1)/2]^6 = ((n-1)/2)^7 \geq (n/3)^7 for n>3, so n^7 \leq 3^7 Sum. Thus n^7 = O(Sum) which completes the demonstration that Sum = Theta(n^7)." ** Prob 7. I suggest inserting another step in the series of \leq's: Sigma_{}^n c_2 i \leq Sigma_{}^n c_2 n Latex style: try to avoid use of \over or \frac outside display mode. "3/4" is easier to read in a nondisplayed line than 3 - 4 because it stays in full size font. ** prob 8 insert the initial differentiation, followed by the multiply by x steps, at the beginning of the derivation. Regards, A.  0, unseen,, Summary-line: 8-Mar meyer@theory.lcs.mit.edu [18] #H24 Notes on Graphs is in staffonly/ *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 8 14:14:11 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12366; Sun, 08 Mar 98 19:13:44 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06460; Sun, 08 Mar 98 19:14:11 EST Date: Sun, 08 Mar 98 19:14:11 EST Message-Id: <199803090014.AA06460@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H24 Notes on Graphs is in staffonly/ I'd be grateful for your comments. I plan to go to press with these notes late Monday for distribution in lecture Tuesday. Thanks, A.  0, unseen,, Summary-line: 8-Mar sylee@MIT.EDU [26] #ps5 question 7... *** EOOH *** Mail-from: From sylee@MIT.EDU Sun Mar 8 15:56:05 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13069; Sun, 08 Mar 98 20:57:06 EST Received: from CATHEDRAL-SEVEN.MIT.EDU by MIT.EDU with SMTP id AA13569; Sun, 8 Mar 98 20:56:06 EST Received: by cathedral-seven.MIT.EDU (8.8.7/4.7) id UAA12034; Sun, 8 Mar 1998 20:56:05 -0500 (EST) Message-Id: <199803090156.UAA12034@cathedral-seven.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps5 question 7... Date: Sun, 08 Mar 1998 20:56:05 EST From: SeungYong Albert Lee hello all.. let say f(n)=1/(n-2) + n, then it is certainly theta(n), but the sum blows up if n is greate than 2... since we didn't restict anything else on the function, i think this is very good counterexample... what shall we do? should we change the problem so that students can assume that the function is defined for all n ? what do you guys think? Al..  1,, Summary-line: 8-Mar mroh@MIT.EDU [46] #Quiz Review and Notes on Graphs Mail-from: From mroh@MIT.EDU Sun Mar 8 16:17:44 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13249; Sun, 08 Mar 98 21:18:46 EST Received: from W20-575-51.MIT.EDU by MIT.EDU with SMTP id AA17540; Sun, 8 Mar 98 21:18:13 EST Received: by w20-575-51.MIT.EDU (SMI-8.6/4.7) id VAA02350; Sun, 8 Mar 1998 21:17:45 -0500 Message-Id: <199803090217.VAA02350@w20-575-51.MIT.EDU> To: 6042-staff@theory.lcs Subject: Quiz Review and Notes on Graphs Date: Sun, 08 Mar 1998 21:17:44 EST From: "Mark C. Roh" *** EOOH *** Return-Path: To: 6042-staff@theory.lcs Subject: Quiz Review and Notes on Graphs Date: Sun, 08 Mar 1998 21:17:44 EST From: "Mark C. Roh" Are we having a quiz review this weekend? I think we should. Notes on Graphs: The graph isomorphism example on p. 5 doesn't work. Try n=1 for example. Typos: The third paragraph in 1.1 needs a period. The final paragraph in 1.1 should have "is" removed. 5.1 (vertex degree) restate "number of incident edges" as "number of edges incident to it"? 5.2 chromatic number: replace "reaslly" with "really" (top of p.8) Second paragraph, p. 8: delete one of the "only"s the paragraph after th'm 5.3: delete the comma after "proof" second paragraph after figure 8: "ramaining grpah" -> "remaining graph" Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  1,, Summary-line: 8-Mar flattop@MIT.EDU [32] #6.042 instance Mail-from: From flattop@MIT.EDU Sun Mar 8 16:36:13 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13332; Sun, 08 Mar 98 21:37:17 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA18719; Sun, 8 Mar 98 21:36:16 EST Received: from M56-129-11.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA25269; Sun, 8 Mar 98 21:36:13 EST Sender: flattop@MIT.EDU Message-Id: <3503559D.52AA@MIT.EDU> Date: Sun, 08 Mar 1998 21:36:13 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: 6.042 instance Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Return-Path: Sender: flattop@MIT.EDU Date: Sun, 08 Mar 1998 21:36:13 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: 6.042 instance Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit If you haven't done so, add yourself to the 6.042 instance zephyr. type this: zctl add message 6.042 \* to send a zephyr to everyone who is subscribed to this type: zwrite -i 6.042 So during the help hours, they can zephyr to the 6.042 class. jack p.s. does anyone know if all the 6.042 students are on the zepyhr class?  1,, Summary-line: 8-Mar meyer@theory.lcs.mit.edu [42] #Re: ps5 question 7... Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 8 17:00:26 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13457; Sun, 08 Mar 98 21:59:59 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06493; Sun, 08 Mar 98 22:00:26 EST Date: Sun, 08 Mar 98 22:00:26 EST Message-Id: <199803090300.AA06493@stork.lcs.mit.edu> From: "Albert R. Meyer" To: sylee@MIT.EDU In-Reply-To: <199803090156.UAA12034@cathedral-seven.MIT.EDU> (message from SeungYong Albert Lee on Sun, 08 Mar 1998 20:56:05 EST) Subject: Re: ps5 question 7... Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Return-Path: Date: Sun, 08 Mar 98 22:00:26 EST From: "Albert R. Meyer" To: sylee@MIT.EDU In-Reply-To: <199803090156.UAA12034@cathedral-seven.MIT.EDU> (message from SeungYong Albert Lee on Sun, 08 Mar 1998 20:56:05 EST) Subject: Re: ps5 question 7... Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu f: R --> R means f is total (cf Rosen 1.6, Def 1; see also 1.7 ex. 38), and that's the kind of function O() is defined for in lecture and the notes. We also use O() for f: N --> N, again meaning total on N. I'd only take off 1 point if a student submitted your f below which blows up at 2, with a comment that from now on, partial functions won't count as counterexamples unless explicitly allowed. Tara was also concerned about exactly the example you raise, but my guess still is that not many of our students will worry about partial functions, so I don't think it's worth broadcasting a clarification. Regards, A. Date: Sun, 08 Mar 1998 20:56:05 EST From: SeungYong Albert Lee hello all.. let say f(n)=1/(n-2) + n, then it is certainly theta(n), but the sum blows up if n is greate than 2... since we didn't restict anything else on the function, i think this is very good counterexample... what shall we do? should we change the problem so that students can assume that the function is defined for all n ? what do you guys think? Al..  1,, Summary-line: 8-Mar meyer@theory.lcs.mit.edu [44] #ZEPHYR Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 8 17:11:26 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13501; Sun, 08 Mar 98 22:10:59 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06496; Sun, 08 Mar 98 22:11:26 EST Date: Sun, 08 Mar 98 22:11:26 EST Message-Id: <199803090311.AA06496@stork.lcs.mit.edu> From: "Albert R. Meyer" To: flattop@MIT.EDU In-Reply-To: <3503559D.52AA@MIT.EDU> (flattop@MIT.EDU) Subject: ZEPHYR Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Return-Path: Date: Sun, 08 Mar 98 22:11:26 EST From: "Albert R. Meyer" To: flattop@MIT.EDU In-Reply-To: <3503559D.52AA@MIT.EDU> (flattop@MIT.EDU) Subject: ZEPHYR Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu NO, I don't think the general 6042 staff should participate in zephyr (real-time chat on the MIT Athena system). It's too intrusive and I don't want to burden the whole staff with it. (Also FYI, I don't have an athena account, and I don't think Luca Trevisan has one either.) The only staff people I'd like to be available via zephyr are the ones on duty manning 6042-help during announced hours. Regards, A. P.S. We agreed in our course assistants' meeting that one of you would note on the course web page the hours 6042-help is being manned. I still think that would be helpful. Sender: flattop@MIT.EDU Date: Sun, 08 Mar 1998 21:36:13 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) If you haven't done so, add yourself to the 6.042 instance zephyr. type this: zctl add message 6.042 \* to send a zephyr to everyone who is subscribed to this type: zwrite -i 6.042 So during the help hours, they can zephyr to the 6.042 class. jack p.s. does anyone know if all the 6.042 students are on the zepyhr class?  1,, Summary-line: 8-Mar meyer@theory.lcs.mit.edu [41] #Re: Quiz Review and Notes on Graphs Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 8 17:48:35 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13765; Sun, 08 Mar 98 22:48:12 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06703; Sun, 08 Mar 98 22:48:35 EST Date: Sun, 08 Mar 98 22:48:35 EST Message-Id: <199803090348.AA06703@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mroh@MIT.EDU In-Reply-To: <199803090217.VAA02350@w20-575-51.MIT.EDU> (mroh@MIT.EDU) Subject: Re: Quiz Review and Notes on Graphs Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Return-Path: Date: Sun, 08 Mar 98 22:48:35 EST From: "Albert R. Meyer" To: mroh@MIT.EDU In-Reply-To: <199803090217.VAA02350@w20-575-51.MIT.EDU> (mroh@MIT.EDU) Subject: Re: Quiz Review and Notes on Graphs Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Date: Sun, 08 Mar 1998 21:17:44 EST From: "Mark C. Roh" Are we having a quiz review this weekend? I think we should. I AGREE, I'll announce our intention to run one in lecture Tues. We can work out details at staff mtng after lecture. Notes on Graphs: The graph isomorphism example on p. 5 doesn't work. Try n=1 for example. REPLACED with: For example the simple graph whose vertices are the integers $1,\dots,2n$ with an edge between two vertices iff they have the same parity (that is, both are even or both are odd), has the same shape as the graph whose vertices are $-1,-2,\dots,-2n$ with an edge between two vertices iff exactly one of them is $< -n$. Typos: CORRECTED Mark Roh, mroh@mit.edu (617) 497-4876 Revised version in staffonly/. Many thanks for the prompt comments. Regards, A.  1,, Summary-line: 8-Mar meyer@theory.lcs.mit.edu [30] #fixed isomorphism fix Mail-from: From meyer@theory.lcs.mit.edu Sun Mar 8 18:19:53 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13940; Sun, 08 Mar 98 23:19:26 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06749; Sun, 08 Mar 98 23:19:53 EST Date: Sun, 08 Mar 98 23:19:53 EST Message-Id: <199803090419.AA06749@stork.lcs.mit.edu> From: "Albert R. Meyer" Cc: 6042-meyer@theory.lcs.mit.edu To: mroh@MIT.EDU, 6042-staff In-Reply-To: <199803090348.AA06703@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: fixed isomorphism fix Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Sun, 08 Mar 98 23:19:53 EST From: "Albert R. Meyer" Cc: 6042-meyer@theory.lcs.mit.edu To: mroh@MIT.EDU, 6042-staff In-Reply-To: <199803090348.AA06703@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: fixed isomorphism fix Reply-To: 6042-meyer@theory.lcs.mit.edu REVISED^2 ISOMORPHISM EXAMPLE: For example the simple graph whose vertices are the integers $1,\dots,2n$ with an edge between two vertices iff they have the same parity (that is, both are even or both are odd), has the same shape as the graph whose vertices are $-1,-2,\dots,-2n$ with an edge between two vertices iff either both vertices are $< -n$ or both are $\geq -n$, since in each case, the graph has two disjoint sets of $n$ vertices, with all possible edges between vertices in the same set and none between a vertex and any of the vertices in the opposite set. . . . For example, the function $f: \set{-1,\dots,-2n} \to \set{1,\dots, 2n}$, where $f(k) = -2k$ if $-n \leq k \leq -1$ and $f(k) = 2(2n + k) + 1$ if $-2n \leq k < -n$, is an isomorphism between the two graphs described above.  0, unseen,, Summary-line: 9-Mar etara@MIT.EDU [22] #ps5 solutions *** EOOH *** Mail-from: From etara@MIT.EDU Mon Mar 9 10:47:46 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07161; Mon, 09 Mar 98 15:48:49 EST Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA15482; Mon, 9 Mar 98 15:47:48 EST Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id PAA29955; Mon, 9 Mar 1998 15:47:46 -0500 Message-Id: <199803092047.PAA29955@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps5 solutions Date: Mon, 09 Mar 1998 15:47:46 EST From: Tara B Schenkel ps5 solutions have been modified according to everyone's comments. could someone take another look? thanks tara  0, unseen,, Summary-line: 9-Mar mroh@MIT.EDU [46] #Re: ps5 solutions *** EOOH *** Mail-from: From mroh@MIT.EDU Mon Mar 9 14:26:35 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09753; Mon, 09 Mar 98 19:27:43 EST Received: from M38-370-12.MIT.EDU by MIT.EDU with SMTP id AA18765; Mon, 9 Mar 98 19:26:42 EST Received: by m38-370-12.MIT.EDU (SMI-8.6/4.7) id TAA15026; Mon, 9 Mar 1998 19:26:36 -0500 Message-Id: <199803100026.TAA15026@m38-370-12.MIT.EDU> To: Tara B Schenkel Cc: 6042-staff@theory.lcs Subject: Re: ps5 solutions In-Reply-To: Your message of "Mon, 09 Mar 1998 15:47:46 EST." <199803092047.PAA29955@m37-312-37.MIT.EDU> Date: Mon, 09 Mar 1998 19:26:35 EST From: "Mark C. Roh" problem 1: The definition of V' doesn't look right to me. In problem 7, in the first paragraph of p. 7, we have c1n <= f(i) <= c2n for i>k I'm guessing that the n's should be i's, or at least the first n should be. Minor typos: In the first paragraph of the sol'n to problem 1, set the variables between $'s. Add a period to the following sentence. I think we can decapitalize the "we omit" in problem 2. In problem 6, just before the integral method, "Theta" needs a backslash. The final sentence of a solution needs a period. In problem 7, in the first paragraph, i.e. needs a second period. At the end of problem 7, I think it would be nice to have the "for all n>max ..." before the big bunch of inequalities, and then have "which satisfies the def'n..." ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, Summary-line: 9-Mar mroh@MIT.EDU [36] #rec 5 *** EOOH *** Mail-from: From mroh@MIT.EDU Mon Mar 9 14:32:36 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09804; Mon, 09 Mar 98 19:33:39 EST Received: from M38-370-12.MIT.EDU by MIT.EDU with SMTP id AA22800; Mon, 9 Mar 98 19:33:06 EST Received: by m38-370-12.MIT.EDU (SMI-8.6/4.7) id TAA15035; Mon, 9 Mar 1998 19:32:37 -0500 Message-Id: <199803100032.TAA15035@m38-370-12.MIT.EDU> To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs Subject: rec 5 In-Reply-To: Your message of "Fri, 06 Mar 1998 21:09:34 EST." <199803070209.AA05557@stork.lcs.mit.edu> Date: Mon, 09 Mar 1998 19:32:36 EST From: "Mark C. Roh" It went well. In my sections, some students solved the first problem in essence if not in detail, and some had the right idea for 2a. Problem 2b stumped everyone though. (Alex told me that some his kids solved it.) Things ran over in my second section, so that my students didn't have a full hour for the team problems. The first hour went well too, although I had to provide some additional examples to clearly communicate the idea of theta(n). Also, while proving the theorems, I found it helpful to explain more steps than were explicit in the notes (e.g., how to differentiate c^x), so that it took a little longer too. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, Summary-line: 9-Mar flattop@MIT.EDU [41] #6.042 help web page *** EOOH *** Mail-from: From flattop@MIT.EDU Mon Mar 9 17:59:06 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA11350; Mon, 09 Mar 98 23:00:09 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA04386; Mon, 9 Mar 98 22:59:36 EST Received: from W20-575-7.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA21190; Mon, 9 Mar 98 22:59:05 EST Sender: flattop@MIT.EDU Message-Id: <3504BA8A.76E7@MIT.EDU> Date: Mon, 09 Mar 1998 22:59:06 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: 6.042 help web page Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit I finally was able to log into the theory machine from athena. If you are still having problem, do this from athena: athena% add crypto athena% ssh stork.lcs.mit.edu --> then they will ask you for your password. stork% xterm & I added a link to the help page from the 6.042 homepage. Check it out and correct anything you like. I know it is plain, but I'm just too lazy to fix it up. One student ask me to post the questions asked through the 6042-help@theory.lcs.mit.edu mailing list and the answers. What do you guys think? I think that this is fair for everyone. If we offer hints to a student, we should offer to everyone. jack  0, unseen,, Summary-line: 9-Mar to: etara@MIT.EDU [22] #ps5 soln *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 9 18:15:14 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA11476; Mon, 09 Mar 98 23:14:47 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA07301; Mon, 09 Mar 98 23:15:14 EST Date: Mon, 09 Mar 98 23:15:14 EST Message-Id: <199803100415.AA07301@stork.lcs.mit.edu> From: "Albert R. Meyer" To: etara@MIT.EDU In-Reply-To: <199803092228.RAA00173@m37-312-37.MIT.EDU> (message from Tara B Schenkel on Mon, 09 Mar 1998 17:28:34 EST) Subject: ps5 soln Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu I made minor changes and put the final version on the staffonly/ page. The file is H23-pset5sol.ps Regards, A.  0, unseen,, Summary-line: 10-Mar to: flattop@MIT.EDU [49] #Re: 6.042 help web page *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 9 19:12:06 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA11991; Tue, 10 Mar 98 00:11:38 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA07768; Tue, 10 Mar 98 00:12:06 EST Date: Tue, 10 Mar 98 00:12:06 EST Message-Id: <199803100512.AA07768@stork.lcs.mit.edu> From: "Albert R. Meyer" To: flattop@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <3504BA8A.76E7@MIT.EDU> (flattop@MIT.EDU) Subject: Re: 6.042 help web page Reply-To: 6042-meyer@theory.lcs.mit.edu Good idea to make the archive available. I've added a link to it from the 6042-help page. Regards, A. Sender: flattop@MIT.EDU Date: Mon, 09 Mar 1998 22:59:06 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) I finally was able to log into the theory machine from athena. If you are still having problem, do this from athena: athena% add crypto athena% ssh stork.lcs.mit.edu --> then they will ask you for your password. stork% xterm & I added a link to the help page from the 6.042 homepage. Check it out and correct anything you like. I know it is plain, but I'm just too lazy to fix it up. One student ask me to post the questions asked through the 6042-help@theory.lcs.mit.edu mailing list and the answers. What do you guys think? I think that this is fair for everyone. If we offer hints to a student, we should offer to everyone. jack  0, unseen,, Summary-line: 10-Mar dmjones@theory.lcs.mit.ed [17] #Handout 24 (Notes on Graphs) *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Tue Mar 10 07:00:26 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA18286; Tue, 10 Mar 98 12:01:09 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA03317; Tue, 10 Mar 98 12:00:26 EST Date: Tue, 10 Mar 98 12:00:26 EST Message-Id: <199803101700.AA03317@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: Handout 24 (Notes on Graphs) The copies of Handout 24 for today's lecture are on the file cabinet outside my office door. David.  0, unseen,, Summary-line: 10-Mar to: flattop@MIT.EDU [36] #Re: Help Archive *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Mar 10 08:11:59 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19594; Tue, 10 Mar 98 13:11:32 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA08468; Tue, 10 Mar 98 13:11:59 EST Date: Tue, 10 Mar 98 13:11:59 EST Message-Id: <199803101811.AA08468@stork.lcs.mit.edu> From: "Albert R. Meyer" To: flattop@MIT.EDU In-Reply-To: <3505741B.167E@MIT.EDU> (flattop@MIT.EDU) Subject: Re: Help Archive Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Sender: flattop@MIT.EDU Date: Tue, 10 Mar 1998 12:10:51 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; IRIX 5.3 IP22) References: <199803101504.AA08248@stork.lcs.mit.edu> Prof. Meyer, Do you know that the archives also have e-mails that are sent to the 6.042 helpers? For example, what if we e-mail solutions to the 6.042-help@lcs.theory.mit.edu and didn't mean for the students to read them in the archive. jack GOOD POINT. We'll have to rethink our email protocols. Meanwhile, I'll remove the link to the archives. Thanks, A.  0, unseen,, Summary-line: 10-Mar kylee@MIT.EDU [20] #Quiz suggested questions *** EOOH *** Mail-from: From kylee@MIT.EDU Tue Mar 10 12:51:15 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23359; Tue, 10 Mar 98 17:52:17 EST Received: from W20-575-71.MIT.EDU by MIT.EDU with SMTP id AA29177; Tue, 10 Mar 98 17:51:44 EST Received: by w20-575-71.MIT.EDU (940816.SGI.8.6.9/4.7) id RAA10064; Tue, 10 Mar 1998 17:51:15 -0500 Message-Id: <199803102251.RAA10064@w20-575-71.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Quiz suggested questions Date: Tue, 10 Mar 1998 17:51:15 EST From: Edmond Kayi Lee Hi, I have added a few questions suggested for Quiz 1 in the file. It is now encrypted at deve/draft/q1-kylee Edmond  0, unseen,, Summary-line: 10-Mar dmjones@theory.lcs.mit.ed [108] #sample fifth-week flags letters from the dean's office *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Tue Mar 10 13:10:15 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23537; Tue, 10 Mar 98 18:10:58 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA03869; Tue, 10 Mar 98 18:10:15 EST Date: Tue, 10 Mar 98 18:10:15 EST Message-Id: <199803102310.AA03869@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: sample fifth-week flags letters from the dean's office Here are some sample fifth-week flag that the dean's office suggests. The full memo sent out by the dean is available in my office if you want to read it. Also appended is a list of freshmen taking the class. I also have their advisor's names and email addresses if you need them. David. SAMPLE FIFTH-WEEK-FLAGS **** I was a bit worried by your performance on the first exam. Your homeworks have been ok, but I'm wondering if maybe things aren't quite "clicking" for you in the class. Could you arrange a time to get together and chat about how you're doing in ...? **** I am writing to ask you about your status.... Could you let me know if you have officially registered for this course? We've also been concerned about your attendance. You've already missed quite a few lessons and one lesson quiz. We have to warn you that if this pattern continues, you may not pass this course. I would like to talk with you as soon as possible regarding your status and attendance. Will you be available tomorrow (Tuesday) sometime between 11:00 and 2:30? Please let me know. Thank you. **** Based on your performance on the last exam, it is important that you improve for the next one. Please set up a time with me so we can discuss how you can improve or specifically go over any questions you have with the material. Hope to hear from you soon. **** As you know, you did not get a passing grade on your first paper for this class. I think you could have done well if you'd spent more time on it. The second paper topic has now been handed out. We should meet to talk about your first paper, and what you intend for the second. I am free before 1 and after 3 on Tuesday (tomorrow), or before 11 on Wednesday. Please email me to let me know if one of these times is convenient for you, or to suggest another time. FRESHMEN TAKING 6.042 Berkheimer, Andrew David Biesiadecki, John J. Block, Bradley T. Cheng, Hoi Wai Thomas Crow, David B. Drury, Todd Phillip Franklin-Hodge, Jascha Alexis Freedman, Michael J. Goyal, Amit Greenstadt, Rachel Ann Hansen, Richard Earl Hao, Melissa Betty Hochberger, Alex M. Jacobs, Joshua Kim, Brian Andrew Kim, Janice Juyeon Kim, Paul Hamsoo King, Virgil S. Kwon, Dennis O. Lee, Aimee Kyung-Gun Lee, Chun (David) Yi Lee, Eric K. Lee, Ying Liang, Shuehan Lin, Joyce C. Lin, Li-Kuo (Brian) Low, Tzer Hung Mehta, Amar K. Mosk-Aoyama, Damon s. Mukerji, Pamela Paik, Michael S. Reed, Jonathan D. Salz, Jonathan M. Schafer, Uriel B. Schmidt, Justin Seshasai, Satwiksai Somani, Ashutosh Somani, Paritosh Taylor, Matthew Marshall Thompson, Brad Walker, Kenneth A. Weir, Justin W. Whitney, Jonathan W. Winkel, Adam James  0, unseen,, Summary-line: 10-Mar kylee@MIT.EDU [25] #Marathon Office hours *** EOOH *** Mail-from: From kylee@MIT.EDU Tue Mar 10 13:50:46 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24046; Tue, 10 Mar 98 18:51:48 EST Received: from W20-575-71.MIT.EDU by MIT.EDU with SMTP id AA12139; Tue, 10 Mar 98 18:50:46 EST Received: by w20-575-71.MIT.EDU (940816.SGI.8.6.9/4.7) id SAA10145; Tue, 10 Mar 1998 18:50:46 -0500 Message-Id: <199803102350.SAA10145@w20-575-71.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Marathon Office hours Date: Tue, 10 Mar 1998 18:50:46 EST From: Edmond Kayi Lee Alrite, so how are we going to do the office hour? I would suggest dividing in 4-6,6-8,8-10 slots and 2 of us showing up for each slot. It would be better to have more than 1 TA so that he/she won't get swamped. I am basically fine for any time, but prefer earlier slots. But I can definitely go to any of them if I am needed. What do you think? Edmond  0, unseen,, Summary-line: 10-Mar sylee@MIT.EDU [21] #Re: Marathon Office hours *** EOOH *** Mail-from: From sylee@MIT.EDU Tue Mar 10 13:56:48 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24119; Tue, 10 Mar 98 18:57:55 EST Received: from EECS-ATH-33.MIT.EDU by MIT.EDU with SMTP id AA15044; Tue, 10 Mar 98 18:57:22 EST Received: by eecs-ath-33.MIT.EDU (SMI-8.6/4.7) id SAA25093; Tue, 10 Mar 1998 18:56:48 -0500 Message-Id: <199803102356.SAA25093@eecs-ath-33.MIT.EDU> To: Edmond Kayi Lee Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: Marathon Office hours In-Reply-To: Your message of "Tue, 10 Mar 1998 18:50:46 EST." <199803102350.SAA10145@w20-575-71.MIT.EDU> Date: Tue, 10 Mar 1998 18:56:48 EST From: SeungYong Albert Lee I would like to have 8-10... but any other times are fine with me as well. Al.  0, unseen,, Summary-line: 11-Mar mroh@MIT.EDU [31] #rec6 *** EOOH *** Mail-from: From mroh@MIT.EDU Tue Mar 10 19:44:51 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26421; Wed, 11 Mar 98 00:45:55 EST Received: from M12-182-17.MIT.EDU by MIT.EDU with SMTP id AA17919; Wed, 11 Mar 98 00:45:22 EST Received: by m12-182-17.MIT.EDU (SMI-8.6/4.7) id AAA01187; Wed, 11 Mar 1998 00:44:52 -0500 Message-Id: <199803110544.AAA01187@m12-182-17.MIT.EDU> To: 6042-staff@theory.lcs Subject: rec6 Date: Wed, 11 Mar 1998 00:44:51 EST From: "Mark C. Roh" The updated rec6 with corollary proof is on the web, as H28-rec6-2.ps. It looks to me that the second case of the master th'm should read \Theta rather than O, so I changed it. Can someone verify this and the proof for me? I also capitalized the thetas on the first page and removed an extra \leq from the inductive step on the second team problem. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, Summary-line: 11-Mar mroh@MIT.EDU [27] #quiz info *** EOOH *** Mail-from: From mroh@MIT.EDU Tue Mar 10 20:06:32 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26520; Wed, 11 Mar 98 01:07:37 EST Received: from QUICKSTATION-11-1.MIT.EDU by MIT.EDU with SMTP id AA20363; Wed, 11 Mar 98 01:07:05 EST Received: by quickstation-11-1.MIT.EDU (SMI-8.6/4.7) id BAA17875; Wed, 11 Mar 1998 01:06:33 -0500 Message-Id: <199803110606.BAA17875@quickstation-11-1.MIT.EDU> To: 6042-staff@theory.lcs Subject: quiz info Date: Wed, 11 Mar 1998 01:06:32 EST From: "Mark C. Roh" Do we have a policy regarding whether students can bring notes to the quiz? My suggestion is to permit one double-sided handwritten 8x11 sheet. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  1,, Summary-line: 11-Mar kylee@MIT.EDU [10] #Practice Quiz 1 Mail-from: From kylee@MIT.EDU Tue Mar 10 20:35:27 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26613; Wed, 11 Mar 98 01:36:31 EST Received: from W20-575-71.MIT.EDU by MIT.EDU with SMTP id AA23906; Wed, 11 Mar 98 01:35:58 EST Received: by w20-575-71.MIT.EDU (940816.SGI.8.6.9/4.7) id BAA11169; Wed, 11 Mar 1998 01:35:28 -0500 Message-Id: <199803110635.BAA11169@w20-575-71.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Practice Quiz 1 Date: Wed, 11 Mar 1998 01:35:27 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: Practice Quiz 1 Date: Wed, 11 Mar 1998 01:35:27 EST From: Edmond Kayi Lee The practice Quiz 1 is now of the staff page. Edmond  1,, Summary-line: 11-Mar dmjones@theory.lcs.mit.ed [21] #[mibs@eecs.mit.edu: Re: Room for 6.042 quiz review next Tuesday (March 17)] Mail-from: From dmjones@theory.lcs.mit.edu Wed Mar 11 04:39:50 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29450; Wed, 11 Mar 98 09:40:33 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA04374; Wed, 11 Mar 98 09:39:50 EST Date: Wed, 11 Mar 98 09:39:50 EST Message-Id: <199803111439.AA04374@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: [mibs@eecs.mit.edu: Re: Room for 6.042 quiz review next Tuesday (March 17)] *** EOOH *** Date: Wed, 11 Mar 98 09:39:50 EST From: "David M. Jones" To: 6042-staff Subject: [mibs@eecs.mit.edu: Re: Room for 6.042 quiz review next Tuesday (March 17)] ------- Start of forwarded message ------- Return-Path: In-Reply-To: <199803102313.AA03876@sandpiper.lcs.mit.edu> Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Wed, 11 Mar 1998 09:35:04 -0500 To: "David M. Jones" From: Mibsy Brooks Subject: Re: Room for 6.042 quiz review next Tuesday (March 17) Hi David-- They are scheduled in 24-115 on 3/17, 4-10pm. [...]  0, unseen,, Summary-line: 11-Mar to: mroh@MIT.EDU [25] #Re: rec6 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Mar 11 07:20:44 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01457; Wed, 11 Mar 98 12:20:15 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA09126; Wed, 11 Mar 98 12:20:44 EST Date: Wed, 11 Mar 98 12:20:44 EST Message-Id: <199803111720.AA09126@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mroh@MIT.EDU In-Reply-To: <199803110544.AAA01187@m12-182-17.MIT.EDU> (mroh@MIT.EDU) Subject: Re: rec6 Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu It looks to me that the second case of the master th'm should read \Theta rather than O, so I changed it. YES. Can someone verify this and the proof for me? YES, I WILL. You'll see it presented at the start of lecture tomorrow too. Regards, A.  0, unseen,, Summary-line: 11-Mar mroh@MIT.EDU [28] #Re: Marathon Office hours *** EOOH *** Mail-from: From mroh@MIT.EDU Wed Mar 11 08:30:28 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02334; Wed, 11 Mar 98 13:30:46 EST Received: from EXODUS.MIT.EDU by MIT.EDU with SMTP id AA02859; Wed, 11 Mar 98 13:29:44 EST From: mroh@MIT.EDU Received: by exodus.MIT.EDU (8.6.10/4.7) id NAA22433; Wed, 11 Mar 1998 13:30:28 -0500 Message-Id: <199803111830.NAA22433@exodus.MIT.EDU> To: SeungYong Albert Lee Cc: 6042-staff@theory.lcs Subject: Re: Marathon Office hours In-Reply-To: Your message of "Tue, 10 Mar 1998 18:56:48 EST." <199803102356.SAA25093@eecs-ath-33.MIT.EDU> Date: Wed, 11 Mar 1998 13:30:28 EST Either of the two later sessions is fine with me. It looks like 6-8 isn't too popular, so I'll sign up for that one. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, Summary-line: 11-Mar kylee@mit.edu [19] #Problem set 4 *** EOOH *** Mail-from: From kylee@mit.edu Wed Mar 11 13:02:57 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05418; Wed, 11 Mar 98 18:04:01 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id SAA29980; Wed, 11 Mar 1998 18:02:57 -0500 Message-Id: <199803112302.SAA29980@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Problem set 4 Date: Wed, 11 Mar 1998 18:02:57 EST From: Edmond Kayi Lee Anyone got James Robertson's problem set 4? He is in my section but I am not able to find his problem set. Edmond  0, unseen,, Summary-line: 12-Mar to: jones [19] #devel/quiz/H26-practice-quiz.tex *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 12 03:35:20 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09405; Thu, 12 Mar 98 08:34:51 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA10002; Thu, 12 Mar 98 08:35:20 EST Date: Thu, 12 Mar 98 08:35:20 EST Message-Id: <199803121335.AA10002@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Subject: devel/quiz/H26-practice-quiz.tex Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Print 120 copies for lecture today (15 sides, 8pp). Use second copy printing at et (or yank it off the 6042 handouts page). Thanks, A.  0, unseen,, Summary-line: 12-Mar dmjones@theory.lcs.mit.ed [27] #Re: devel/quiz/H26-practice-quiz.tex *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Thu Mar 12 07:06:43 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12038; Thu, 12 Mar 98 12:07:27 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA05044; Thu, 12 Mar 98 12:06:43 EST Date: Thu, 12 Mar 98 12:06:43 EST Message-Id: <199803121706.AA05044@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803121335.AA10002@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: devel/quiz/H26-practice-quiz.tex Done and ready to pick up. > Date: Thu, 12 Mar 98 08:35:20 EST > From: "Albert R. Meyer" > Cc: 6042-staff@theory.lcs.mit.edu > Reply-To: 6042-meyer@theory.lcs.mit.edu > > Print 120 copies for lecture today (15 sides, 8pp). Use second copy > printing at et (or yank it off the 6042 handouts page). > > Thanks, A.  0, unseen,, Summary-line: 12-Mar to: 6042-staff [37] #complete H28-rec6.ps *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 12 07:35:16 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12463; Thu, 12 Mar 98 12:35:11 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA10128; Thu, 12 Mar 98 12:35:16 EST Date: Thu, 12 Mar 98 12:35:16 EST Message-Id: <199803121735.AA10128@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: complete H28-rec6.ps Reply-To: 6042-meyer@theory.lcs.mit.edu is available on the staffonly/ page. It now includes proof of the Master Theorem, its Corollary when f(n) = Theta(n^alpha), and applications to several of the example recurrences from lecture. These are meant mainly as class notes. I do NOT expect you to present much of this in recitation, JUST PRESENT (1) a review of the statement of the Master Theorem. (2) a review of the statement of the Corollary. (3) show the application of the Corollary to a couple of the examples. (4) prove the Corollary from the Master Theorem ONLY in for Case 3 that f(n) = dn^alpha for d>0 and alpha > beta. This is a short, but NEW proof you should look over. (5) the material from last term on change-of-variable which we discussed in staff meeting. Present the argument first assuming that m is a power of 2. After that you can spend some time on how the proof gets extended to cover the case when m (and n) are not powers of 2, but it's OK to be sketchy about this last part. Then do team problems. Note that the solution for the first problem makes the simplifying power-of-2 asssumption. Tell your students to do the same. Regards, A.  0, unseen,, Summary-line: 12-Mar amsduran@MIT.EDU [40] #Exam conflicts *** EOOH *** Mail-from: From amsduran@MIT.EDU Thu Mar 12 12:09:44 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15923; Thu, 12 Mar 98 17:11:10 EST Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA08955; Thu, 12 Mar 98 17:10:06 EST Received: by mint-square.MIT.EDU (8.8.7/4.7) id RAA25954; Thu, 12 Mar 1998 17:09:44 -0500 (EST) Message-Id: <199803122209.RAA25954@mint-square.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Exam conflicts Date: Thu, 12 Mar 1998 17:09:44 EST From: "Alexander M. S. Duran" Do we have a scheduled conflict exam time? --Alex  ------- Forwarded Message Received: from PACIFIC-CARRIER-ANNEX.MIT.EDU by po9.MIT.EDU (5.61/4.7) id AA12739; Thu, 12 Mar 98 15:58:20 EST Received: from LOCKPICK.MIT.EDU by MIT.EDU with SMTP id AA16517; Thu, 12 Mar 98 15:58:41 EST Received: by lockpick.MIT.EDU (SMI-8.6/4.7) id PAA01590; Thu, 12 Mar 1998 15:58:11 -0500 Message-Id: <199803122058.PAA01590@lockpick.MIT.EDU> To: amsduran@MIT.EDU Subject: conflict Date: Thu, 12 Mar 1998 15:58:11 EST From: Peter Hussami Hi Alex! I have a seriout conflict at the test time (Mar. 18.). When else can I take the test? Peter ------- End of Forwarded Message  0, unseen,, Summary-line: 12-Mar to: hussa@MIT.EDU [19] #conflict exam *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 12 12:18:35 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16086; Thu, 12 Mar 98 17:18:06 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA10417; Thu, 12 Mar 98 17:18:35 EST Date: Thu, 12 Mar 98 17:18:35 EST Message-Id: <199803122218.AA10417@stork.lcs.mit.edu> From: "Albert R. Meyer" To: hussa@MIT.EDU Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: conflict exam We're trying to schedule a conflict exam Wed earlier in the day. Let me know all the times you are available to take the exam on Wed, 3/18. Thanks, A.  0, unseen,, Summary-line: 12-Mar kylee@MIT.EDU [18] #Team Problems 6 *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Mar 12 17:06:15 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA18249; Thu, 12 Mar 98 22:07:19 EST Received: from W20-575-81.MIT.EDU by MIT.EDU with SMTP id AA11739; Thu, 12 Mar 98 22:06:17 EST Received: by w20-575-81.MIT.EDU (SMI-8.6/4.7) id WAA14741; Thu, 12 Mar 1998 22:06:15 -0500 Message-Id: <199803130306.WAA14741@w20-575-81.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Team Problems 6 Date: Thu, 12 Mar 1998 22:06:15 EST From: Edmond Kayi Lee Team Problems 6 is now on the staff page. Edmond  0, unseen,, Summary-line: 13-Mar kylee@MIT.EDU [36] #Recitation 6 *** EOOH *** Mail-from: From kylee@MIT.EDU Fri Mar 13 14:46:17 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03591; Fri, 13 Mar 98 19:47:22 EST Received: from W20-575-68.MIT.EDU by MIT.EDU with SMTP id AA24945; Fri, 13 Mar 98 19:46:19 EST Received: by w20-575-68.MIT.EDU (940816.SGI.8.6.9/4.7) id TAA04327; Fri, 13 Mar 1998 19:46:18 -0500 Message-Id: <199803140046.TAA04327@w20-575-68.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Recitation 6 Date: Fri, 13 Mar 1998 19:46:17 EST From: Edmond Kayi Lee I am a bit confused with the team problem 2 today when one of my students asked me: do the Batons eat Marons of one-year old or those older than one? I tried to look at the solution but I couldn't find anywhere implying the answer. In fact, I may not agree with the number of 1-year old Marons is g(n-1)-g(n-2) unless it is assumed that only one-year-old Matons will be eaten. This may be false if if some of the olf Marons are being eaten. For example, if at the end of certain year we have 3 one-year old Marons and 3 two-year old Marons. In the second year, they eat 3 Batons and reproduce, giving 9 young Marons and 6 old Marons, and then say 3 old Marons are eaten by the Batons. In the end of second year, 9 young Marons and 3 old Marons remained. But f(n)-f(n-1)=12-6=6 , not equal to 9. Also, the base case in the second year doesn't quite follow from the first year according to the rule. I am not sure how I can explain this. Because of such uncertainty, I ended up asking them to do problem 1 instead and promised to get back to them by email. Edmond  0, unseen,, Summary-line: 16-Mar etara@MIT.EDU [30] #marathon office hours *** EOOH *** Mail-from: From etara@MIT.EDU Mon Mar 16 08:53:27 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21841; Mon, 16 Mar 98 13:54:34 EST Received: from BIOHAZARD-CAFE.MIT.EDU by MIT.EDU with SMTP id AA21938; Mon, 16 Mar 98 13:54:01 EST Received: by biohazard-cafe.MIT.EDU (8.8.7/4.7) id NAA28809; Mon, 16 Mar 1998 13:53:28 -0500 (EST) Message-Id: <199803161853.NAA28809@biohazard-cafe.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: marathon office hours Date: Mon, 16 Mar 1998 13:53:27 EST From: Tara B Schenkel so from the email sent out, our schedule for office hours tomorrow look like this so far: 4-6 Edmond 6-8 Mark 8-10 Al i'd prefer 4-6. alex and stas- can you make 6-8 or 8-10? tara  0, unseen,, Summary-line: 16-Mar amsduran@mit.edu [19] #Re: marathon office hours *** EOOH *** Mail-from: From amsduran@NW61-431-1.MIT.EDU Mon Mar 16 10:31:02 1998 Return-Path: Received: from NW61-431-1.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23266; Mon, 16 Mar 98 15:32:08 EST Received: (from amsduran@localhost) by NW61-431-1.MIT.EDU (8.8.5/8.8.5) id PAA02548; Mon, 16 Mar 1998 15:31:02 -0500 From: "Alexander M. S. Duran" Message-Id: <199803162031.PAA02548@NW61-431-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Re: marathon office hours In-Reply-To: Your message of "Mon, 16 Mar 1998 13:53:27 EST." <199803161853.NAA28809@biohazard-cafe.MIT.EDU> Date: Mon, 16 Mar 1998 15:31:02 EST I can make 6-8. I may also show up from 4-6 (a two hour break isn't very useful to me). --Alex  0, unseen,, Summary-line: 16-Mar stasio@theory.lcs.mit.edu [17] #makeup time? *** EOOH *** Mail-from: From stasio@theory.lcs.mit.edu Mon Mar 16 11:22:16 1998 Return-Path: Received: from ostrich.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24106; Mon, 16 Mar 98 16:25:46 EST From: stasio@theory.lcs.mit.edu (Stanislaw Jarecki) Received: by ostrich.lcs.mit.edu (5.65c/TOC-1.2C) id AA09272; Mon, 16 Mar 98 16:22:16 EST Date: Mon, 16 Mar 98 16:22:16 EST Message-Id: <199803162122.AA09272@ostrich.lcs.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: makeup time? do we have a make up time for the quiz? one of my students has a class in the evening stas  0, unseen,, Summary-line: 16-Mar to: hussa@MIT.EDU, jbyler [19] #6042 conflict quiz wed 4--6 *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 16 16:07:58 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27134; Mon, 16 Mar 98 21:07:26 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA13484; Mon, 16 Mar 98 21:07:58 EST Date: Mon, 16 Mar 98 21:07:58 EST Message-Id: <199803170207.AA13484@stork.lcs.mit.edu> From: "Albert R. Meyer" To: hussa@MIT.EDU, jbyler@mit.edu, flints@MIT.EDU Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: 6042 conflict quiz wed 4--6 The conflict quiz will be Wed Mar 18, 4pm--6 in my office, NE43-316. See you there. Regards, A.  0, unseen,, Summary-line: 16-Mar sylee@MIT.EDU [23] #rec 6, problem 1 soln... *** EOOH *** Mail-from: From sylee@MIT.EDU Mon Mar 16 16:11:48 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27169; Mon, 16 Mar 98 21:13:01 EST Received: from W20-575-11.MIT.EDU by MIT.EDU with SMTP id AA29253; Mon, 16 Mar 98 21:12:25 EST Received: by w20-575-11.MIT.EDU (SMI-8.6/4.7) id VAA03086; Mon, 16 Mar 1998 21:11:48 -0500 Message-Id: <199803170211.VAA03086@w20-575-11.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: rec 6, problem 1 soln... Date: Mon, 16 Mar 1998 21:11:48 EST From: SeungYong Albert Lee hello, solution for problem 1 is now added. It is on the homepage now.. can someone read it over? and should we send out email about that? also, I am not sure we have settle the bug in problem 2.. what do you think? Al..  0, unseen,, Summary-line: 16-Mar flattop@MIT.EDU [39] #I can't answer this question *** EOOH *** Mail-from: From flattop@MIT.EDU Mon Mar 16 16:51:12 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27382; Mon, 16 Mar 98 21:52:18 EST Received: from MIT.MIT.EDU by MIT.EDU with SMTP id AA12496; Mon, 16 Mar 98 21:51:46 EST Received: from W20-575-77.MIT.EDU by MIT.MIT.EDU (5.61/4.7) id AA29560; Mon, 16 Mar 98 21:51:09 EST Sender: flattop@MIT.EDU Message-Id: <350DE520.3196@MIT.EDU> Date: Mon, 16 Mar 1998 21:51:12 -0500 From: "Jack V. Chung" X-Mailer: Mozilla 3.01 (X11; U; SunOS 5.5.1 sun4m) Mime-Version: 1.0 To: 6042-staff@theory.lcs.mit.edu Subject: I can't answer this question References: <9803170246.AA29224@MIT.MIT.EDU> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Can someone answer the last e-mail sent? I don't want to give the wrong information. jack Aimee K. Lee wrote: "Aimee K. Lee" > > hi, > > do i need to know boolean assigments and divide-and-conquer > recurrences for the test? > > thanks. > > aimee lee  0, unseen,, Summary-line: 16-Mar davidlee@MIT.EDU [29] #wednesday night quiz conflict *** EOOH *** Mail-from: From davidlee@MIT.EDU Mon Mar 16 17:35:58 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27722; Mon, 16 Mar 98 22:34:24 EST Received: from PO10.MIT.EDU by MIT.EDU with SMTP id AA26037; Mon, 16 Mar 98 22:33:52 EST Received: from PILLOW.MIT.EDU by po10.MIT.EDU (5.61/4.7) id AA18428; Mon, 16 Mar 98 22:33:19 EST Message-Id: <2.2.32.19980317033558.006ae628@po10.mit.edu> X-Sender: davidlee@po10.mit.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Mon, 16 Mar 1998 22:35:58 -0500 To: 6042-staff@theory.lcs.mit.edu From: David Lee Subject: wednesday night quiz conflict Hi, my name's Chun (David) Lee and I'm in Alex's section 1 rectitation. I don't know exactly who to send this request to, but I'd like to schedule a makeup quiz for the one this wednesday night. I have a Men's Varsity Volleyball game at the exact same time that I cannot miss. The game cannot be rescheduled, so I hope the quiz can. Please reply with what I need to do. Thanks. -Dave Lee  0, unseen,, Summary-line: 16-Mar to: 6042-staff [19] #quiz *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 16 17:37:08 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27745; Mon, 16 Mar 98 22:36:36 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA13560; Mon, 16 Mar 98 22:37:08 EST Date: Mon, 16 Mar 98 22:37:08 EST Message-Id: <199803170337.AA13560@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: quiz If you're NOT participating in Tue office hours, then I'd like your comments on the quiz final draft, which is krypted in devel quiz/H31-quiz.ps ...tex Thanks, A.  0, unseen,, Summary-line: 16-Mar to: davidlee@MIT.EDU [40] #Re: wednesday night quiz conflict *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Mar 16 17:39:10 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27769; Mon, 16 Mar 98 22:38:39 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA13594; Mon, 16 Mar 98 22:39:10 EST Date: Mon, 16 Mar 98 22:39:10 EST Message-Id: <199803170339.AA13594@stork.lcs.mit.edu> From: "Albert R. Meyer" To: davidlee@MIT.EDU In-Reply-To: <2.2.32.19980317033558.006ae628@po10.mit.edu> (message from David Lee on Mon, 16 Mar 1998 22:35:58 -0500) Subject: Re: wednesday night quiz conflict Reply-To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff conflict quiz has been scheduled Wed 3/18 4--6 in my office NE43-316. Yours truly, Prof. Albert R. Meyer MIT Lab. for Computer Science X-Sender: davidlee@po10.mit.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Date: Mon, 16 Mar 1998 22:35:58 -0500 From: David Lee Hi, my name's Chun (David) Lee and I'm in Alex's section 1 rectitation. I don't know exactly who to send this request to, but I'd like to schedule a makeup quiz for the one this wednesday night. I have a Men's Varsity Volleyball game at the exact same time that I cannot miss. The game cannot be rescheduled, so I hope the quiz can. Please reply with what I need to do. Thanks. -Dave Lee  0, unseen,, Summary-line: 17-Mar luca@theory.lcs.mit.edu [22] #ps7 and solutions *** EOOH *** Mail-from: From luca@theory.lcs.mit.edu Mon Mar 16 19:01:57 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28131; Tue, 17 Mar 98 00:05:20 EST Sender: luca@theory.lcs.mit.edu Message-Id: <350E03C5.59E2B600@theory.lcs.mit.edu> Date: Tue, 17 Mar 1998 00:01:57 -0500 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: 6042-staff Subject: ps7 and solutions Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Hi, a preliminary draft of problem set 7 and solutions are in the /staffonly directory. -Luca  0, unseen,, Summary-line: 17-Mar stasio@MIT.EDU [33] #Re: rec 6, problem 1 soln... *** EOOH *** Mail-from: From stasio@mit.edu Tue Mar 17 06:52:34 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04364; Tue, 17 Mar 98 11:53:38 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id LAA15770; Tue, 17 Mar 1998 11:52:34 -0500 (EST) Date: Tue, 17 Mar 1998 11:52:34 -0500 (EST) Message-Id: <199803171652.LAA15770@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: sylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803170211.VAA03086@w20-575-11.MIT.EDU> (message from SeungYong Albert Lee on Mon, 16 Mar 1998 21:11:48 EST) Subject: Re: rec 6, problem 1 soln... Hey Al, in part (a), I dont like you wording at the bottom of page 8. Here is an alternative: Since $\mbox{lim}_{m\rightarrow\infty}\,(\frac{\log{m}-1}{\log{m}})^2=1$, for every $c<1$, there is some $m_0$, s.t. for all $m\geq{m_0}$, $(\frac{\log{m}-1}{\log{m}})^2>c$. Consequently, by the above reasoning, there is no constant $c<1$ s.t. af(m/b)\leq{cf(m)$ for all $m$ sufficiently large. Therefore, the third case of the master theorem does not apply either. (i didnt run it throught latex...) Stas  0, unseen,, Summary-line: 17-Mar amsduran@MIT.EDU [21] #Conflict exam *** EOOH *** Mail-from: From amsduran@MIT.EDU Tue Mar 17 12:49:14 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09439; Tue, 17 Mar 98 17:50:22 EST Received: from M12-182-4.MIT.EDU by MIT.EDU with SMTP id AA09847; Tue, 17 Mar 98 17:49:16 EST Received: by m12-182-4.MIT.EDU (940816.SGI.8.6.9/4.7) id RAA15339; Tue, 17 Mar 1998 17:49:15 -0500 Message-Id: <199803172249.RAA15339@m12-182-4.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Conflict exam Date: Tue, 17 Mar 1998 17:49:14 EST From: "Alexander M. S. Duran" I have a student who rows crew until almost 7:30 and as a result cannot make the conflict exam. He is willing to take the exam from 7:30 to 9:30. I would be willing to stay late to proctor, is this permissible? --Alex amsduran@mit.edu  0, unseen,, Summary-line: 17-Mar meyer@theory.lcs.mit.edu [31] #Re: Conflict exam *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Mar 17 13:18:30 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09734; Tue, 17 Mar 98 18:17:58 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14246; Tue, 17 Mar 98 18:18:30 EST Date: Tue, 17 Mar 98 18:18:30 EST Message-Id: <199803172318.AA14246@stork.lcs.mit.edu> From: "Albert R. Meyer" Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu In-Reply-To: <199803172249.RAA15339@m12-182-4.MIT.EDU> (amsduran@MIT.EDU) Subject: Re: Conflict exam To: amsduran@MIT.EDU No problem. Regards, A. Date: Tue, 17 Mar 1998 17:49:14 EST From: "Alexander M. S. Duran" I have a student who rows crew until almost 7:30 and as a result cannot make the conflict exam. He is willing to take the exam from 7:30 to 9:30. I would be willing to stay late to proctor, is this permissible? --Alex amsduran@mit.edu  1,, Summary-line: 17-Mar to: 6042-staff [13] #H31-quiz Mail-from: From meyer@theory.lcs.mit.edu Tue Mar 17 13:23:07 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09770; Tue, 17 Mar 98 18:22:34 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14259; Tue, 17 Mar 98 18:23:07 EST Date: Tue, 17 Mar 98 18:23:07 EST Message-Id: <199803172323.AA14259@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H31-quiz *** EOOH *** Date: Tue, 17 Mar 98 18:23:07 EST From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H31-quiz latest revision is krypted in devel quiz/ . Don't look at it till your office hours or 6042-help hours before the quiz are over, but then I'd appreciate your comments. We'll go to press around the time of staff mtng. Regards, A.  1,, Summary-line: 17-Mar to: mloh@MIT.EDU [28] #Re: quick question Mail-from: From meyer@theory.lcs.mit.edu Tue Mar 17 18:27:48 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12642; Tue, 17 Mar 98 23:27:15 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14457; Tue, 17 Mar 98 23:27:48 EST Date: Tue, 17 Mar 98 23:27:48 EST Message-Id: <199803180427.AA14457@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mloh@MIT.EDU Cc: 6042-meyer@theory.lcs.mit.edu, mroh@MIT.EDU In-Reply-To: (message from ZEALOT on Tue, 17 Mar 1998 23:23:25 -0500 (EST)) Subject: Re: quick question Reply-To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff *** EOOH *** Date: Tue, 17 Mar 98 23:27:48 EST From: "Albert R. Meyer" To: mloh@MIT.EDU Cc: 6042-meyer@theory.lcs.mit.edu, mroh@MIT.EDU In-Reply-To: (message from ZEALOT on Tue, 17 Mar 1998 23:23:25 -0500 (EST)) Subject: Re: quick question Reply-To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff All I can say is that these are legitimate quiz topics. Regards, A. Date: Tue, 17 Mar 1998 23:23:25 -0500 (EST) From: ZEALOT will anything about ranking and tournaments be on the quiz? thanks, maggie oh =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- 410 memorial dr 332C cambridge, ma. 02139 (617) 2 2 5- 8 3 0 7 c o u r s e V I - 2 web.mit.edu/mloh/www  1,, Summary-line: 18-Mar etara@MIT.EDU [13] #staff mtg Mail-from: From etara@MIT.EDU Wed Mar 18 06:27:02 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19103; Wed, 18 Mar 98 11:28:10 EST Received: from SCRUBBING-BUBBLES.MIT.EDU by MIT.EDU with SMTP id AA05875; Wed, 18 Mar 98 11:27:04 EST Received: by scrubbing-bubbles.MIT.EDU (8.8.7/4.7) id LAA29109; Wed, 18 Mar 1998 11:27:02 -0500 (EST) Message-Id: <199803181627.LAA29109@scrubbing-bubbles.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: staff mtg Date: Wed, 18 Mar 1998 11:27:02 EST From: Tara B Schenkel *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: staff mtg Date: Wed, 18 Mar 1998 11:27:02 EST From: Tara B Schenkel staff meeting is today at 1:00, right? does anyone know where? thanks tara  1,, Summary-line: 18-Mar dmjones@theory.lcs.mit.ed [26] #Re: staff mtg Mail-from: From dmjones@theory.lcs.mit.edu Wed Mar 18 06:32:48 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19182; Wed, 18 Mar 98 11:33:33 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA07634; Wed, 18 Mar 98 11:32:48 EST Date: Wed, 18 Mar 98 11:32:48 EST Message-Id: <199803181632.AA07634@sandpiper.lcs.mit.edu> From: "David M. Jones" To: etara@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803181627.LAA29109@scrubbing-bubbles.MIT.EDU> (message from Tara B Schenkel on Wed, 18 Mar 1998 11:27:02 EST) Subject: Re: staff mtg *** EOOH *** Date: Wed, 18 Mar 98 11:32:48 EST From: "David M. Jones" To: etara@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803181627.LAA29109@scrubbing-bubbles.MIT.EDU> (message from Tara B Schenkel on Wed, 18 Mar 1998 11:27:02 EST) Subject: Re: staff mtg > Date: Wed, 18 Mar 1998 11:27:02 EST > From: Tara B Schenkel > > > staff meeting is today at 1:00, right? Yes. > does anyone know where? Good question. Albert: can you meet in your office today? 308 is available regularly starting next week, and 204 is taken this afternoon. I'm running out of options. David.  1,, Summary-line: 18-Mar to: dmjones@theory.lcs.mi [13] #Re: staff mtg Mail-from: From meyer@theory.lcs.mit.edu Wed Mar 18 07:15:28 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19816; Wed, 18 Mar 98 12:14:55 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14717; Wed, 18 Mar 98 12:15:28 EST Date: Wed, 18 Mar 98 12:15:28 EST Message-Id: <199803181715.AA14717@stork.lcs.mit.edu> From: "Albert R. Meyer" To: dmjones@theory.lcs.mit.edu Cc: etara@MIT.EDU, 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803181632.AA07634@sandpiper.lcs.mit.edu> (dmjones@theory.lcs.mit.edu) Subject: Re: staff mtg Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Wed, 18 Mar 98 12:15:28 EST From: "Albert R. Meyer" To: dmjones@theory.lcs.mit.edu Cc: etara@MIT.EDU, 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803181632.AA07634@sandpiper.lcs.mit.edu> (dmjones@theory.lcs.mit.edu) Subject: Re: staff mtg Reply-To: 6042-meyer@theory.lcs.mit.edu my office should be ok. we may need an extra chair or 2. Regards, A.  1,, Summary-line: 19-Mar to: 6042-staff [12] #grades Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 19 04:38:08 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02449; Thu, 19 Mar 98 09:37:35 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA15358; Thu, 19 Mar 98 09:38:08 EST Date: Thu, 19 Mar 98 09:38:08 EST Message-Id: <199803191438.AA15358@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: grades *** EOOH *** Date: Thu, 19 Mar 98 09:38:08 EST From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: grades Before we start Spring Break, please be sure to provide a copy of your section and pset grades, either in writing to David Jones, or krypted in the devel /grade/rN directory where 1<= N <=10. Thanks, A.  1,, Summary-line: 19-Mar to: 6042-staff [11] #team probs 7 Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 19 13:28:55 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA10960; Thu, 19 Mar 98 18:28:21 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA15904; Thu, 19 Mar 98 18:28:55 EST Date: Thu, 19 Mar 98 18:28:55 EST Message-Id: <199803192328.AA15904@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: team probs 7 Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Thu, 19 Mar 98 18:28:55 EST From: "Albert R. Meyer" To: 6042-staff Subject: team probs 7 Reply-To: 6042-meyer@theory.lcs.mit.edu are on the staff page. DAVID can make copies in morn, but 9am recitation better make their own. Regards, A.  1,, Summary-line: 19-Mar mroh@MIT.EDU [22] #section averages Mail-from: From mroh@MIT.EDU Thu Mar 19 14:03:47 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA11282; Thu, 19 Mar 98 19:04:58 EST Received: from M56-129-15.MIT.EDU by MIT.EDU with SMTP id AA05415; Thu, 19 Mar 98 19:03:53 EST Received: by m56-129-15.MIT.EDU (SMI-8.6/4.7) id TAA12491; Thu, 19 Mar 1998 19:03:48 -0500 Message-Id: <199803200003.TAA12491@m56-129-15.MIT.EDU> To: 6042-staff@theory.lcs Subject: section averages Date: Thu, 19 Mar 1998 19:03:47 EST From: "Mark C. Roh" *** EOOH *** To: 6042-staff@theory.lcs Subject: section averages Date: Thu, 19 Mar 1998 19:03:47 EST From: "Mark C. Roh" students avg Stas 19 56 Mark 21 53.1 Alex 23 64.1 Al 25 63.8 Edmond 20 56 Tara 20 63 ===================== Albert 128 59.7 ----------- Mark Roh, mroh@mit.edu (617) 497-4876  1,, Summary-line: 20-Mar kylee@mit.edu [21] #Comment on test problem 6 Mail-from: From kylee@mit.edu Thu Mar 19 22:34:38 1998 Return-Path: Received: from KINGS-COLLEGE.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15305; Fri, 20 Mar 98 03:35:44 EST Received: (from kylee@localhost) by Kings-College.MIT.edu (8.8.5/8.8.5) id DAA32401; Fri, 20 Mar 1998 03:34:38 -0500 Message-Id: <199803200834.DAA32401@Kings-College.MIT.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Comment on test problem 6 Date: Fri, 20 Mar 1998 03:34:38 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: Comment on test problem 6 Date: Fri, 20 Mar 1998 03:34:38 EST From: Edmond Kayi Lee I would like to make to comment here. I think I kind of heard that Theta is preserved when ln is applied to it. I didn't think about that at the moment but now I think that's not true. For example 2^(1/x)=THETA(2^{1/x + 1}) but not 1/x = THETA(1/x + 1) I guess this should have no impact on the test scores. Just want to make a comment here. Edmond  1,, Summary-line: 20-Mar to: 6042-staff [15] #quiz soln's Mail-from: From meyer@theory.lcs.mit.edu Fri Mar 20 07:48:03 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22333; Fri, 20 Mar 98 12:47:30 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16400; Fri, 20 Mar 98 12:48:03 EST Date: Fri, 20 Mar 98 12:48:03 EST Message-Id: <199803201748.AA16400@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: quiz soln's Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Fri, 20 Mar 98 12:48:03 EST From: "Albert R. Meyer" To: 6042-staff Subject: quiz soln's Reply-To: 6042-meyer@theory.lcs.mit.edu I'd like the "lead" grader on each problem to draft a soln/solns -- which should include brief discussion of main errors and points deducted -- and send them to me by the end of Spring Break. Handwritten is OK. I think Tara was "lead" on prob 6, Stas on prob 4, Edmond on 5. Is that right? Who was lead on the others? Regards, A.  1,, Summary-line: 20-Mar kylee@MIT.EDU [12] #Re: quiz soln's Mail-from: From kylee@MIT.EDU Fri Mar 20 08:24:53 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23099; Fri, 20 Mar 98 13:39:34 EST Received: from QUICKSTATION-50-1.MIT.EDU by MIT.EDU with SMTP id AA24319; Fri, 20 Mar 98 13:24:56 EST Received: by quickstation-50-1.MIT.EDU (SMI-8.6/4.7) id NAA28945; Fri, 20 Mar 1998 13:24:54 -0500 Message-Id: <199803201824.NAA28945@quickstation-50-1.MIT.EDU> To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: quiz soln's In-Reply-To: Your message of "Fri, 20 Mar 1998 12:48:03 EST." <199803201748.AA16400@stork.lcs.mit.edu> Date: Fri, 20 Mar 1998 13:24:53 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: quiz soln's In-Reply-To: Your message of "Fri, 20 Mar 1998 12:48:03 EST." <199803201748.AA16400@stork.lcs.mit.edu> Date: Fri, 20 Mar 1998 13:24:53 EST From: Edmond Kayi Lee I graded problem 2 and 4. So I can do either of them. Edmond  1,, Summary-line: 20-Mar stasio@mit.edu [17] #Re: quiz soln's Mail-from: From stasio@mit.edu Fri Mar 20 08:39:45 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23134; Fri, 20 Mar 98 13:40:51 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id NAA02260; Fri, 20 Mar 1998 13:39:45 -0500 (EST) Date: Fri, 20 Mar 1998 13:39:45 -0500 (EST) Message-Id: <199803201839.NAA02260@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@mit.edu In-Reply-To: <199803201748.AA16400@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: quiz soln's *** EOOH *** Date: Fri, 20 Mar 1998 13:39:45 -0500 (EST) From: Stanislaw Jarecki To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@mit.edu In-Reply-To: <199803201748.AA16400@stork.lcs.mit.edu> (meyer@theory.lcs.mit.edu) Subject: Re: quiz soln's Hey Albert, I want to do problem 1 ! Let somebody else do 4. I'll do it in latex! Stas  1,, Summary-line: 20-Mar mroh@MIT.EDU [10] #quiz solns Mail-from: From mroh@MIT.EDU Fri Mar 20 09:36:49 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA05080; Fri, 20 Mar 98 14:37:57 EST Received: from M38-370-9.MIT.EDU by MIT.EDU with SMTP id AA29619; Fri, 20 Mar 98 14:37:25 EST Received: by m38-370-9.MIT.EDU (SMI-8.6/4.7) id OAA03108; Fri, 20 Mar 1998 14:36:50 -0500 Message-Id: <199803201936.OAA03108@m38-370-9.MIT.EDU> To: 6042-staff@theory.lcs Subject: quiz solns Date: Fri, 20 Mar 1998 14:36:49 EST From: "Mark C. Roh" *** EOOH *** To: 6042-staff@theory.lcs Subject: quiz solns Date: Fri, 20 Mar 1998 14:36:49 EST From: "Mark C. Roh" I'll write up problem 5. Mark  1,, Summary-line: 21-Mar to: 6042-staff [24] #quiz soln's and grades Mail-from: From meyer@theory.lcs.mit.edu Sat Mar 21 16:19:45 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19400; Sat, 21 Mar 98 21:19:12 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA01303; Sat, 21 Mar 98 21:19:45 EST Date: Sat, 21 Mar 98 21:19:45 EST Message-Id: <199803220219.AA01303@stork.lcs.mit.edu> From: "Albert R. Meyer" In-Reply-To: <199803201839.NAA02260@enigma.LCS.MIT.EDU> (message from Stanislaw Jarecki on Fri, 20 Mar 1998 13:39:45 -0500 (EST)) Subject: quiz soln's and grades To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Sat, 21 Mar 98 21:19:45 EST From: "Albert R. Meyer" In-Reply-To: <199803201839.NAA02260@enigma.LCS.MIT.EDU> (message from Stanislaw Jarecki on Fri, 20 Mar 1998 13:39:45 -0500 (EST)) Subject: quiz soln's and grades To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu OK, here's the current lineup for quiz sol'ns 1. Stas 3. Al Lee 4. Edmond 5. Mark 6. Tara I guess this leaves ALEX doing PROB 2 soln by default. Let me know if there's a problem. Also, put your krypted grades in devel grade/, for the record and so David can complete a quiz grade histogram. Thanks, A.  1,, Summary-line: 21-Mar to: 6042-staff [52] #log O() Mail-from: From meyer@theory.lcs.mit.edu Sat Mar 21 16:21:39 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19415; Sat, 21 Mar 98 21:21:05 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA01322; Sat, 21 Mar 98 21:21:39 EST Date: Sat, 21 Mar 98 21:21:39 EST Message-Id: <199803220221.AA01322@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: log O() In-Reply-To: <199803200834.DAA32401@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Fri, 20 Mar 1998 03:34:38 EST) *** EOOH *** Date: Sat, 21 Mar 98 21:21:39 EST From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: log O() In-Reply-To: <199803200834.DAA32401@Kings-College.MIT.edu> (message from Edmond Kayi Lee on Fri, 20 Mar 1998 03:34:38 EST) Good point. I made the comment, and it's wrong. I was implicitly thinking of unboundedly growing functions. In particular, if h GROWS, i.e., is bounded below by an unbounded, nondecreasing function, then h(x) + constant = Theta(h(x)) (*) for any constant. Of course, (*) isn't true for h(x) = o(1), like your 1/x. In fact, if h is NEGATIVE, then (*) fails for ALL constants. On the other hand, if f= Theta(g) and g grows, then it's easy to show that log f = Theta (log g): If f = Theta(g), we have c1 g(x) <= f(x) <= c2 g(x). for some c1, c2 >0 & all large x. Since log is nondecreasing, this implies log g(x) + log c1 <= log f(x) <= log g(x) + log c2 for large x. Now if g grows, then so does log g. So (*) with h::= log g implies that for large x we have log f bounded above and below by functions which are Theta(log g), so log f = Theta(log g). Regards, A. Date: Fri, 20 Mar 1998 03:34:38 EST From: Edmond Kayi Lee I would like to make to comment here. I think I kind of heard that Theta is preserved when ln is applied to it. I didn't think about that at the moment but now I think that's not true. For example 2^(1/x)=THETA(2^{1/x + 1}) but not 1/x = THETA(1/x + 1) I guess this should have no impact on the test scores. Just want to make a comment here. Edmond ------- End of forwarded message -------  1,, Summary-line: 24-Mar to: luca [51] #[cynic@mit.edu: ps7/sols] Mail-from: From meyer@theory.lcs.mit.edu Tue Mar 24 13:58:54 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19091; Tue, 24 Mar 98 18:58:18 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA02408; Tue, 24 Mar 98 18:58:54 EST Date: Tue, 24 Mar 98 18:58:54 EST Message-Id: <199803242358.AA02408@stork.lcs.mit.edu> From: "Albert R. Meyer" To: luca Subject: [cynic@mit.edu: ps7/sols] Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Tue, 24 Mar 98 18:58:54 EST From: "Albert R. Meyer" To: luca Subject: [cynic@mit.edu: ps7/sols] Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu ------- Start of forwarded message ------- From: Wesley S Chao To: meyer@theory.lcs.mit.edu Subject: ps7/sols Date: Tue, 24 Mar 1998 16:43:54 EST Oops, so I'm a little ahead of the game. I printed out ps7 and sol's before leaving for spring break to look over. I will print out ps6 and sol's if I can. Anyway, here's what I found with ps7: 1. Problem 3 should be worded: "...divisible by the square of ANY..." rather than "...by the square of a...". It's a nitpicky question of semantics, but using any there is no room for interpretation. 2. In problem 2a, the solutions, the Base case should read "r = 0" instead of "n = 0". 3. Problem 2b has another solution, as follows: fix a winning team, say team 1. Team 1 must win n+1 games; let these be bars. Let the n games that team 2 wins be stars. There are n+2 distinguishable places to put n indistinguishable stars; this means n+n+2-1 choose n is the number of ways team 1 can win. Multiply by two for team two's ways to win, and there are 2 times n+1 choose n ways for the series to occur, as stated. This method requires a little more insight, I think, but not nearly as much algebraic maniuplation. 4. The other solution to 5c: take the result from 5a, multiply by 2 (number of ways to arrange the bride and 4 others + number of ways to arrange the groom and four others), then subtract the result from 5b (inclusion-exclusion; 5b is the overlap). Also, as a side note, since this ps hasn't been released yet, I would suggest changing the numbers a bit. When I first looked at the ps I thought I had mistakenly d/led last year's version; 7 of the 8 problems are extraordinarily similar if not word for word the same. There are numerous bibles floating around out there in addition to last year's solutions on the web; it doesn't do the students much good in terms of learning the material if they just copy the solutions. Hope your break is going well. Wes. ------- End of forwarded message -------  1,, Summary-line: 27-Mar to: 6042-students [18] #H34 Notes on Set Size Mail-from: From meyer@theory.lcs.mit.edu Thu Mar 26 23:21:51 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08746; Fri, 27 Mar 98 04:21:13 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA03812; Fri, 27 Mar 98 04:21:51 EST Date: Fri, 27 Mar 98 04:21:51 EST Message-Id: <199803270921.AA03812@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-students Subject: H34 Notes on Set Size Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Fri, 27 Mar 98 04:21:51 EST From: "Albert R. Meyer" To: 6042-students Subject: H34 Notes on Set Size Reply-To: 6042-meyer@theory.lcs.mit.edu is available on the course page (except for a missing figure). You may want to refer to it when doing Problems 5--7 on Pset6. Regards, A.  1,, Summary-line: 27-Mar kylee@MIT.EDU [22] #Comment on Note on Set Size Mail-from: From kylee@MIT.EDU Fri Mar 27 11:42:04 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25289; Fri, 27 Mar 98 16:43:13 EST Received: from W20-575-71.MIT.EDU by MIT.EDU with SMTP id AA21316; Fri, 27 Mar 98 16:42:05 EST Received: by w20-575-71.MIT.EDU (940816.SGI.8.6.9/4.7) id QAA21731; Fri, 27 Mar 1998 16:42:04 -0500 Message-Id: <199803272142.QAA21731@w20-575-71.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Comment on Note on Set Size Date: Fri, 27 Mar 1998 16:42:04 EST From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: Comment on Note on Set Size Date: Fri, 27 Mar 1998 16:42:04 EST From: Edmond Kayi Lee In proof of Thm4.3, the last second line, I am not sure what is f_1 and why it is a bijection. But since it is an injection, the equality still holds. Do we need to change that? Edmond  1,, Summary-line: 27-Mar to: kylee@MIT.EDU [30] #Re: Comment on Note on Set Size Mail-from: From meyer@theory.lcs.mit.edu Fri Mar 27 15:29:03 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27697; Fri, 27 Mar 98 20:28:24 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA04174; Fri, 27 Mar 98 20:29:03 EST Date: Fri, 27 Mar 98 20:29:03 EST Message-Id: <199803280129.AA04174@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803272142.QAA21731@w20-575-71.MIT.EDU> (message from Edmond Kayi Lee on Fri, 27 Mar 1998 16:42:04 EST) Subject: Re: Comment on Note on Set Size Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Fri, 27 Mar 98 20:29:03 EST From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199803272142.QAA21731@w20-575-71.MIT.EDU> (message from Edmond Kayi Lee on Fri, 27 Mar 1998 16:42:04 EST) Subject: Re: Comment on Note on Set Size Reply-To: 6042-meyer@theory.lcs.mit.edu In proof of Thm4.3, the last second line, I am not sure what is f_1 and why it is a bijection. It was defined -- and was a bijection :-) -- in an earlier draft, but it should have been edited out of this draft. But since it is an injection, the equality still holds. Do we need to change that? I'll fix it. Thanks for the comments. BTW, I've found a still slicker proof (current one is already my third version) of Schroder-Bernstein which I wil install tomorrow. Regards, A.  1,, Summary-line: 30-Mar luca@theory.lcs.mit.edu [22] #ps 7 Mail-from: From luca@theory.lcs.mit.edu Mon Apr 2 13:48:31 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02273; Mon, 30 Mar 98 18:52:21 EST Sender: luca@theory.lcs.mit.edu Message-Id: <35202F4F.7DE14518@theory.lcs.mit.edu> Date: Mon, 30 Mar 1998 18:48:31 -0500 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: dmjones Cc: 6042-staff Subject: ps 7 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: luca@theory.lcs.mit.edu Date: Mon, 30 Mar 1998 18:48:31 -0500 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) To: dmjones Cc: 6042-staff Subject: ps 7 david, problem set 7 is in /pub/www/classes/6.042/staffonly/ps7.tex --luca  1,, Summary-line: 30-Mar to: luca@theory.lcs.mit.e [13] #ps 7 on web Mail-from: From meyer@theory.lcs.mit.edu Mon Apr 2 16:44:27 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03887; Mon, 30 Mar 98 21:43:47 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05883; Mon, 30 Mar 98 21:44:27 EST Date: Mon, 30 Mar 98 21:44:27 EST Message-Id: <199803310244.AA05883@stork.lcs.mit.edu> From: "Albert R. Meyer" To: luca@theory.lcs.mit.edu Cc: 6042-staff In-Reply-To: <35202F4F.7DE14518@theory.lcs.mit.edu> (message from Luca Trevisan on Mon, 30 Mar 1998 18:48:31 -0500) Subject: ps 7 on web *** EOOH *** Date: Mon, 30 Mar 98 21:44:27 EST From: "Albert R. Meyer" To: luca@theory.lcs.mit.edu Cc: 6042-staff In-Reply-To: <35202F4F.7DE14518@theory.lcs.mit.edu> (message from Luca Trevisan on Mon, 30 Mar 1998 18:48:31 -0500) Subject: ps 7 on web tex file now in devel psets/H36-pset7.tex and postscript on the public web page and in pub/psets. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon Apr 2 17:21:16 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04166; Mon, 30 Mar 98 22:20:35 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05990; Mon, 30 Mar 98 22:21:16 EST Date: Mon, 30 Mar 98 22:21:16 EST Message-Id: <199803310321.AA05990@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Subject: quiz grades and histogram Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Have you gotten the quiz grades from all the TA's? Prompt any who have not sent them, and make a histogram to go on the web page. Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Tue Apr 3 08:20:17 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14621; Tue, 31 Mar 98 13:21:06 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA18968; Tue, 31 Mar 98 13:20:17 EST Date: Tue, 31 Mar 98 13:20:17 EST Message-Id: <199803311820.AA18968@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: Handouts for today's lecture All 3 handouts for today's lecture are ready to be picked up. David.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Apr 3 17:16:45 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22085; Tue, 31 Mar 98 22:16:04 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06974; Tue, 31 Mar 98 22:16:45 EST Date: Tue, 31 Mar 98 22:16:45 EST Message-Id: <199804010316.AA06974@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H39-rec8.ps Reply-To: 6042-meyer@theory.lcs.mit.edu Rectitation 8 Notes have been prepared by Luca. I've put them on the staffonly web page. They include two proofs for most results -- an elegant counting proof and a formal, manipulative proof, often by induction. The formal proofs are there for the record and for contrast to the elegant ones; we do not expect -- or want -- you to present the formal proofs. Take a look if you can and bring any comments/questions to staff mtng tomorrow. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From luca@theory.lcs.mit.edu Wed Apr 1 12:39:37 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04291; Wed, 01 Apr 98 17:40:49 EST Sender: luca@theory.lcs.mit.edu Message-Id: <3522C229.284797A9@theory.lcs.mit.edu> Date: Wed, 01 Apr 1998 17:39:37 -0500 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: 6042-staff Subject: H38 and H39 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit the revised notes for recitation 8 are accessible from the staffonly web page. tex sources are in /devel/tutorials. best Luca  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 1 17:36:55 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06841; Wed, 01 Apr 98 22:38:06 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA08072; Wed, 01 Apr 98 22:36:55 EST Date: Wed, 01 Apr 98 22:36:55 EST Message-Id: <199804020336.AA08072@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H37-quizsol.ps H37-quizsol.ps is on course web page and in public handouts/. Make 80 copies for class tomorrow. Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Thu Apr 2 09:27:34 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14052; Thu, 02 Apr 98 14:28:45 EST Received: from M37-312-39.MIT.EDU by MIT.EDU with SMTP id AA29977; Thu, 2 Apr 98 14:27:35 EST Received: by m37-312-39.MIT.EDU (940816.SGI.8.6.9/4.7) id OAA07823; Thu, 2 Apr 1998 14:27:34 -0500 Message-Id: <199804021927.OAA07823@m37-312-39.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Subject: quiz solutions Date: Thu, 02 Apr 1998 14:27:34 EST From: Tara B Schenkel quiz solutions are now available on the web page and will be handed out in lecture today. i know some of you are interested in getting some of your problems regraded, so here's the deal: look at the solutions first. if you still think you deserve more points than we gave you, talk to your TA. it's up to each individual TA whether he (or she) looks at it or gets the grader of the problem to look at it again. (but talk to your TA first, before contacting the grader of the problem in question) and please remember that we try to grade as fairly as possible. even if you think we took off alot of points for a specific mistake, chances are that we took off the same for everyone who made that or a similar mistake, so to be fair, we won't give you more points if you have this type of complaint. tara  0, unseen,, *** EOOH *** Mail-from: From kylee@MIT.EDU Thu Apr 2 11:43:49 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15929; Thu, 02 Apr 98 16:45:01 EST Received: from M38-370-9.MIT.EDU by MIT.EDU with SMTP id AA26848; Thu, 2 Apr 98 16:44:32 EST Received: by m38-370-9.MIT.EDU (SMI-8.6/4.7) id QAA04063; Thu, 2 Apr 1998 16:43:49 -0500 Message-Id: <199804022143.QAA04063@m38-370-9.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Recitation Note 8 Date: Thu, 02 Apr 1998 16:43:49 EST From: Edmond Kayi Lee A mistake in one of the examples: in Section 3.1 in page 8. The case for (4,1,0) should have 5 choices instead of 4. The case for (2,2,1) should have 5*6/2 =15 instead of 4*6/2 Therefore the total number of ways should be 41 rather than 37 Edmond  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Apr 2 12:18:09 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA16423; Thu, 02 Apr 98 17:19:43 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA08806; Thu, 02 Apr 98 17:18:09 EST Date: Thu, 02 Apr 98 17:18:09 EST Message-Id: <199804022218.AA08806@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: rec probs and quiz sol Reply-To: 6042-meyer@theory.lcs.mit.edu David has been sick for the past couple of days, which is why the Quiz Solution didn't get printed and given out today, and why the recitation 8 probs and notes may not get printed tomorrow. So print your own copies of the rec8 problem (only half a page) from the staffonly web page, and remind students that quiz solns are on the web; hard copy of quiz sol may have to wait till next week. There was very little 6042-help email re PS6 earlier this week, and I'd estimate 60% attendance in lecture Tues, and under 25% today. So I'm concerned about what's going on. Please let me know ** the fraction (eg, 8/13) of your students who turned in PS6. Of those who turned something in, try to give me an idea how many did most of it, say 5 or more problems. ** the fraction of attendance in section tomorrow. And remember to provide me brief feedback on recitation: ** did you cover the expected material? run out of time for some of it? finish the presentation early? ** how did the team problem work out? how many teams were able to do how many parts? Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From stasio@mit.edu Fri Apr 3 03:43:50 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22955; Fri, 03 Apr 98 08:45:05 EST Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id IAA06625; Fri, 3 Apr 1998 08:43:50 -0500 (EST) Date: Fri, 3 Apr 1998 08:43:50 -0500 (EST) Message-Id: <199804031343.IAA06625@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: copier code Can anybody tell me the five-digit code 6042 staff can use to copy handouts on the xerox machine on the third floor of LCS? Stas  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Fri Apr 3 05:47:35 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24435; Fri, 03 Apr 98 10:48:47 EST Received: from CATHEDRAL-SEVEN.MIT.EDU by MIT.EDU with SMTP id AA19130; Fri, 3 Apr 98 10:48:17 EST Received: by cathedral-seven.MIT.EDU (8.8.7/4.7) id KAA22770; Fri, 3 Apr 1998 10:47:36 -0500 (EST) Message-Id: <199804031547.KAA22770@cathedral-seven.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Subject: Quiz Problem 6a regrade Date: Fri, 03 Apr 1998 10:47:35 EST From: Tara B Schenkel we overlooked a correct solution to Problem 6, part a when grading the quiz, so, if you showed that the limit of the ratio of the two functions approaches 1 as n approaches infinity, make sure you bring your quiz back to your TA to be regraded. sorry for the oversight. tara  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Apr 3 05:56:41 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24561; Fri, 03 Apr 98 10:57:51 EST Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA09297; Fri, 03 Apr 98 10:56:41 EST Date: Fri, 03 Apr 98 10:56:41 EST Message-Id: <199804031556.AA09297@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff@theory.lcs.mit.edu Subject: [stasio@mit.edu: copier code] Reply-To: 6042-meyer@theory.lcs.mit.edu I've given Stas the code. Let me know if you also need it. Regards, A. ------- Start of forwarded message ------- Date: Fri, 3 Apr 1998 08:43:50 -0500 (EST) From: Stanislaw Jarecki To: 6042-staff@theory.lcs.mit.edu Subject: copier code Can anybody tell me the five-digit code 6042 staff can use to copy handouts on the xerox machine on the third floor of LCS? Stas ------- End of forwarded message -------  0, unseen,, *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Fri Apr 3 06:13:07 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24875; Fri, 03 Apr 98 11:14:23 EST Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA21054; Fri, 03 Apr 98 11:13:07 EST Date: Fri, 03 Apr 98 11:13:07 EST Message-Id: <199804031613.AA21054@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: Recitation 8 problems Copies of the recitation 8 problems are available outside myoffice. I'll also make copies of the quiz solutions and leave them there in case you want to distribute them to your sections this afternoon. David.  0, unseen,, *** EOOH *** Mail-from: From mroh@MIT.EDU Fri Apr 3 09:42:57 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27354; Fri, 03 Apr 98 14:44:10 EST Received: from M38-370-11.MIT.EDU by MIT.EDU with SMTP id AA03636; Fri, 3 Apr 98 14:43:40 EST Received: by m38-370-11.MIT.EDU (SMI-8.6/4.7) id OAA12651; Fri, 3 Apr 1998 14:42:57 -0500 Message-Id: <199804031942.OAA12651@m38-370-11.MIT.EDU> To: 6042-staff@theory.lcs Subject: ps8 and solns Date: Fri, 03 Apr 1998 14:42:57 EST From: "Mark C. Roh" Revised ps8 and solns are available on the staffonly page. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, *** EOOH *** Mail-from: From kylee@MIT.EDU Fri Apr 3 12:17:50 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00102; Fri, 03 Apr 98 17:19:02 EST Received: from M38-370-2.MIT.EDU by MIT.EDU with SMTP id AA19877; Fri, 3 Apr 98 17:18:33 EST Received: by m38-370-2.MIT.EDU (SMI-8.6/4.7) id RAA23620; Fri, 3 Apr 1998 17:17:50 -0500 Message-Id: <199804032217.RAA23620@m38-370-2.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Recitation Note 8 Date: Fri, 03 Apr 1998 17:17:50 EST From: Edmond Kayi Lee I found another mistake in the note: In Section 3.2. The total number of ways to put 5 identical balls into 3 distinct bins is (5+3-1) (5+3-1) ( 2 ) = 21 rather than ( 3 ) Edmond  1,, Mail-from: From kylee@MIT.EDU Mon Apr 6 13:27:52 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27757; Mon, 06 Apr 98 17:29:25 EDT Received: from W20-575-63.MIT.EDU by MIT.EDU with SMTP id AA08290; Mon, 6 Apr 98 17:27:53 EDT Received: by w20-575-63.MIT.EDU (940816.SGI.8.6.9/4.7) id RAA16628; Mon, 6 Apr 1998 17:27:52 -0400 Message-Id: <199804062127.RAA16628@w20-575-63.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Problem Set 9 Date: Mon, 06 Apr 1998 17:27:52 EDT From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: Problem Set 9 Date: Mon, 06 Apr 1998 17:27:52 EDT From: Edmond Kayi Lee Problem Set 9 with solution is on the staff page. Alex, could you spend some time to proofread for me please? Thanks, Edmond  1,, Mail-from: From kylee@MIT.EDU Tue Apr 7 14:27:06 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12805; Tue, 07 Apr 98 18:28:21 EDT Received: from W20-575-20.MIT.EDU by MIT.EDU with SMTP id AA27347; Tue, 7 Apr 98 18:27:08 EDT Received: by W20-575-20.MIT.EDU (SMI-8.6/4.7) id SAA23236; Tue, 7 Apr 1998 18:27:06 -0400 Message-Id: <199804072227.SAA23236@W20-575-20.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Ps9 Date: Tue, 07 Apr 1998 18:27:06 EDT From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: Ps9 Date: Tue, 07 Apr 1998 18:27:06 EDT From: Edmond Kayi Lee Updated Problem Set 9 with solution is now on the staff page. Edmond  1,, Mail-from: From kylee@MIT.EDU Tue Apr 7 16:54:14 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13841; Tue, 07 Apr 98 20:55:28 EDT Received: from W20-575-22.MIT.EDU by MIT.EDU with SMTP id AA00813; Tue, 7 Apr 98 20:54:59 EDT Received: by w20-575-22.MIT.EDU (SMI-8.6/4.7) id UAA09767; Tue, 7 Apr 1998 20:54:14 -0400 Message-Id: <199804080054.UAA09767@w20-575-22.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Correction in Recitation note 8 Date: Tue, 07 Apr 1998 20:54:14 EDT From: Edmond Kayi Lee *** EOOH *** To: 6042-staff@theory.lcs.mit.edu Subject: Correction in Recitation note 8 Date: Tue, 07 Apr 1998 20:54:14 EDT From: Edmond Kayi Lee Hi, I have fixed the mistakes I mentioned last week in the recitation note 8. The files are now in deve/tutorials/H39-rec8-kylee.[tex|dvi|ps]. But I don't have to permission to replace the original files in that directory and also the web directory. Luca, could you check that and do that for me? Thanks, Edmond  1,, Mail-from: From meyer@theory.lcs.mit.edu Tue Apr 7 17:11:58 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13929; Tue, 07 Apr 98 21:13:05 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA11696; Tue, 07 Apr 98 21:11:58 EDT Date: Tue, 07 Apr 98 21:11:58 EDT Message-Id: <199804080111.AA11696@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199804080054.UAA09767@w20-575-22.MIT.EDU> (message from Edmond Kayi Lee on Tue, 07 Apr 1998 20:54:14 EDT) Subject: Re: Correction in Recitation note 8 Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Tue, 07 Apr 98 21:11:58 EDT From: "Albert R. Meyer" To: kylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199804080054.UAA09767@w20-575-22.MIT.EDU> (message from Edmond Kayi Lee on Tue, 07 Apr 1998 20:54:14 EDT) Subject: Re: Correction in Recitation note 8 Reply-To: 6042-meyer@theory.lcs.mit.edu And use today or tomorrow's date as the handout date. Regards, A.  1,, Mail-from: From kylee@MIT.EDU Tue Apr 7 17:21:15 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13986; Tue, 07 Apr 98 21:22:30 EDT Received: from W20-575-22.MIT.EDU by MIT.EDU with SMTP id AA00686; Tue, 7 Apr 98 21:21:17 EDT Received: by w20-575-22.MIT.EDU (SMI-8.6/4.7) id VAA09817; Tue, 7 Apr 1998 21:21:16 -0400 Message-Id: <199804080121.VAA09817@w20-575-22.MIT.EDU> To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: Correction in Recitation note 8 In-Reply-To: Your message of "Tue, 07 Apr 1998 21:11:58 EDT." <199804080111.AA11696@stork.lcs.mit.edu> Date: Tue, 07 Apr 1998 21:21:15 EDT From: Edmond Kayi Lee *** EOOH *** To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: Correction in Recitation note 8 In-Reply-To: Your message of "Tue, 07 Apr 1998 21:11:58 EDT." <199804080111.AA11696@stork.lcs.mit.edu> Date: Tue, 07 Apr 1998 21:21:15 EDT From: Edmond Kayi Lee >And use today or tomorrow's date as the handout date. Done Edmond  1,, Mail-from: From luca@theory.lcs.mit.edu Tue Apr 7 19:20:20 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14789; Tue, 07 Apr 98 23:21:42 EDT Sender: luca@theory.lcs.mit.edu Message-Id: <352AECF4.ABD322C@theory.lcs.mit.edu> Date: Tue, 07 Apr 1998 23:20:20 -0400 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: Edmond Kayi Lee Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: Correction in Recitation note 8 References: <199804080054.UAA09767@w20-575-22.MIT.EDU> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit *** EOOH *** Sender: luca@theory.lcs.mit.edu Date: Tue, 07 Apr 1998 23:20:20 -0400 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) To: Edmond Kayi Lee Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: Correction in Recitation note 8 References: <199804080054.UAA09767@w20-575-22.MIT.EDU> Edmond Kayi Lee wrote: > > Hi, > > I have fixed the mistakes I mentioned last week in the recitation note 8. > The files are now in deve/tutorials/H39-rec8-kylee.[tex|dvi|ps]. But I don't > have to permission to replace the original files in that directory and also > the web directory. Luca, could you check that and do that for me? > > Thanks, > Edmond Done both in /devel and in the WWW home-page. thanks a lot for finding the mistakes and correcting them. i also corrected a typo that you introduced in your correction (you wrote in the (4,1,0) case that one bit gets one ball and another gets the remaining _5_ balls) Regards -Luca  0, unseen,, *** EOOH *** Mail-from: From kylee@mit.edu Wed Apr 8 20:56:42 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26617; Thu, 09 Apr 98 00:57:57 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id AAA18603; Thu, 9 Apr 1998 00:56:42 -0400 Message-Id: <199804090456.AAA18603@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Revised PS9 Date: Thu, 09 Apr 1998 00:56:42 EDT From: Edmond Kayi Lee Revised problem set 9 and solution are now on the staff page. Edmond  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 8 20:57:18 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26623; Thu, 09 Apr 98 00:58:24 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12695; Thu, 09 Apr 98 00:57:18 EDT Date: Thu, 09 Apr 98 00:57:18 EDT Message-Id: <199804090457.AA12695@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H43-rec9.ps Reply-To: 6042-meyer@theory.lcs.mit.edu is on the staffonly page, complete with solutions. Let me know if you you spot any problem with it. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 8 21:00:09 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA26662; Thu, 09 Apr 98 01:01:15 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12707; Thu, 09 Apr 98 01:00:09 EDT Date: Thu, 09 Apr 98 01:00:09 EDT Message-Id: <199804090500.AA12707@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Subject: H39-rec8.ps Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu make 80 copies for thursday lecture. Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Apr 9 06:30:49 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29743; Thu, 09 Apr 98 10:31:55 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA12792; Thu, 09 Apr 98 10:30:49 EDT Date: Thu, 09 Apr 98 10:30:49 EDT Message-Id: <199804091430.AA12792@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: slight rescheduling of PS9, 10, 11 Your comments in staff meeting made me realize it made sense to tighten the scheduling of psets around the Patriots Day holiday. So I propose the following changes: PS9 goes out next Tuesday April 14 on schedule, but will be due 9 days later on Thursday April 23 (instead of 2 weeks later on Tue, April 28). PS9 can then be a bit shorter because it will not cover independence. Give out PS10 on Thursday April 23 (instead of the following Tue, April 28) and have it due a week later on Thursday April 30. Now it will cover independence (and can borrow some of Edmond's problems from current PS9 draft). Give out PS11 on Thursday April 30 and have it due a week later on Thursday, May 7. Anyone see a problem with this? If not, I'll ask you to announce it in recitation Friday. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Apr 9 15:21:01 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07537; Thu, 09 Apr 98 19:22:06 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA13686; Thu, 09 Apr 98 19:21:01 EDT Date: Thu, 09 Apr 98 19:21:01 EDT Message-Id: <199804092321.AA13686@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H43-rec9.ps Latest version of recitation 9 notes and team problem 9 are staffonly web page. I've added to the notes a page of material from F97 Lecture 17 -- on using products of generating functions to count combinations -- which I didn't get to at the end of lecture today. Students will need it for PS8, so cover it. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From kylee@mit.edu Thu Apr 9 20:16:01 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09905; Fri, 10 Apr 98 00:17:16 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id AAA29212; Fri, 10 Apr 1998 00:16:01 -0400 Message-Id: <199804100416.AAA29212@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Error in team problem Date: Fri, 10 Apr 1998 00:16:01 EDT From: Edmond Kayi Lee In team problem part c). That should be the paths that DO NOT stay strictly above the x-axis. I have corrected the error and the new version (with the updated recitation note) on the staff page. Edmond  0, unseen,, *** EOOH *** Mail-from: From kylee@mit.edu Thu Apr 9 21:31:52 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA10428; Fri, 10 Apr 98 01:33:07 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id BAA29983; Fri, 10 Apr 1998 01:31:53 -0400 Message-Id: <199804100531.BAA29983@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Update PS9 Date: Fri, 10 Apr 1998 01:31:52 EDT From: Edmond Kayi Lee The independence question is cut for problem set 9. The updated version is now on the staff page. Edmond  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Apr 10 06:30:58 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12907; Fri, 10 Apr 98 10:32:03 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA13956; Fri, 10 Apr 98 10:30:58 EDT Date: Fri, 10 Apr 98 10:30:58 EDT Message-Id: <199804101430.AA13956@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199804100416.AAA29212@Dragon-Cliff.mit.edu> (message from Edmond Kayi Lee on Fri, 10 Apr 1998 00:16:01 EDT) Subject: Re: Error in team problem Reply-To: 6042-meyer@theory.lcs.mit.edu Thank you Edmond. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Apr 10 09:46:19 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00301; Fri, 10 Apr 98 13:47:30 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14228; Fri, 10 Apr 98 13:46:19 EDT Date: Fri, 10 Apr 98 13:46:19 EDT Message-Id: <199804101746.AA14228@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-students Subject: PS8, Problem 4(c) Reply-To: 6042-meyer@theory.lcs.mit.edu PS8 Problem 4(c) has been replaced by (c) and (d) below. Here is the entire revised problem: ------------------------------------------------- Problem 4. [15 points] Find partial fraction decompositions for the following functions. (a) 8x/(4x^2 - 1) (b) (x^4 - x^3 - 6x^2 + 6x + 7)/(x^2 + 3x + 2) (c) (Revised 4/10/98) Regarding the function of part (a) as an (ordinary) generating function, what is its 17th coefficient? (d) (Revised 4/10/98) Regarding the function of part (b) as an(ordinary) generating function, what are its first four coefficients? ------------------------------------------------- If you've already done the old part (c), that's OK: you needn't do the new parts. Also, the reading assignment for the PSet was omitted. It is: Rosen Section 4.6; Rosen Appendix 3; 6.042 Fall 97, Notes for Lecture 17. The complete revised Problem Set 8 is on the course web page. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Apr 10 10:19:56 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01220; Fri, 10 Apr 98 14:21:01 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14306; Fri, 10 Apr 98 14:19:56 EDT Date: Fri, 10 Apr 98 14:19:56 EDT Message-Id: <199804101819.AA14306@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199804100531.BAA29983@Dragon-Cliff.mit.edu> (message from Edmond Kayi Lee on Fri, 10 Apr 1998 01:31:52 EDT) Subject: Re: Update PS9 Reply-To: 6042-meyer@theory.lcs.mit.edu Date: Fri, 10 Apr 1998 01:31:52 EDT From: Edmond Kayi Lee The independence question is cut for problem set 9. The updated version is now on the staff page. Edmond Put it back in. I've decided to KEEP THE SCHEDULE AS IS after all. The problem with the switch is that then psets 9 and 10 cover a Tuesday lecture which comes AFTER the recitation before the pset is due. It's not worth that discomfort just to squeeze in a full size pset 11. Sorry for the confusion. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Apr 10 10:44:29 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01633; Fri, 10 Apr 98 14:45:34 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA14352; Fri, 10 Apr 98 14:44:29 EDT Date: Fri, 10 Apr 98 14:44:29 EDT Message-Id: <199804101844.AA14352@stork.lcs.mit.edu> From: "Albert R. Meyer" To: naimad@MIT.EDU In-Reply-To: <3.0.32.19980410141552.006eeb18@po8.mit.edu> (message from Damian Isla on Fri, 10 Apr 1998 14:15:53 -0400) Subject: Re: 6.042 HKN Evaluation Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu CONFIRMED. Yours truly, Prof. Albert R. Meyer MIT Lab. for Computer Science X-Sender: naimad@po8.mit.edu X-Mailer: Windows Eudora Pro Version 3.0 (32) Date: Fri, 10 Apr 1998 14:15:53 -0400 From: Damian Isla Professor Meyer -- I'm with the Underground Guide to Course 6, and would just like to confirm that I can come in to do the evaluation forms for 6.042 on Thursday 16th at 2:30. Thanks very much! Damian Isla  0, unseen,, *** EOOH *** Mail-from: From kylee@MIT.EDU Fri Apr 10 16:33:19 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04779; Fri, 10 Apr 98 20:34:34 EDT Received: from W20-575-71.MIT.EDU by MIT.EDU with SMTP id AA01178; Fri, 10 Apr 98 20:34:04 EDT Received: by w20-575-71.MIT.EDU (940816.SGI.8.6.9/4.7) id UAA25451; Fri, 10 Apr 1998 20:33:19 -0400 Message-Id: <199804110033.UAA25451@w20-575-71.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: PS9 Updated Date: Fri, 10 Apr 1998 20:33:19 EDT From: Edmond Kayi Lee Question 6 is added back to problem set 9. It is now on the web. Note that the handout number and reading assignment is not filled in yet. Are we going to have a lecture note? The source code is ps9-kylee.tex and ps9sol-kylee.tex in the deve/psets dir. Edmond  0, unseen,, *** EOOH *** Mail-from: From sylee@MIT.EDU Mon Apr 13 18:11:15 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA24956; Mon, 13 Apr 98 22:12:33 EDT Received: from W20-575-79.MIT.EDU by MIT.EDU with SMTP id AA27919; Mon, 13 Apr 98 22:12:04 EDT Received: by w20-575-79.MIT.EDU (SMI-8.6/4.7) id WAA04293; Mon, 13 Apr 1998 22:11:15 -0400 Message-Id: <199804140211.WAA04293@w20-575-79.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Re: ps8sol In-Reply-To: Your message of "Fri, 10 Apr 1998 14:43:29 EDT." <199804101843.AA14335@stork.lcs.mit.edu> Date: Mon, 13 Apr 1998 22:11:15 EDT From: SeungYong Albert Lee revised pset8sol is in devel directory and staffonly page.. Al.. ps.. Mark, can you check if there are any mistakes? thanks... ps2.. I still can get the page numbers... i used "dvips -o H44-pset8sol.ps H44-pset8sol.dvi" can anyone tell me what's wrong?  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Apr 14 05:15:15 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29101; Tue, 14 Apr 98 09:16:18 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA15851; Tue, 14 Apr 98 09:15:15 EDT Date: Tue, 14 Apr 98 09:15:15 EDT Message-Id: <199804141315.AA15851@stork.lcs.mit.edu> From: "Albert R. Meyer" To: sylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu In-Reply-To: <199804140211.WAA04293@w20-575-79.MIT.EDU> (message from SeungYong Albert Lee on Mon, 13 Apr 1998 22:11:15 EDT) Subject: Re: ps8sol Reply-To: 6042-meyer@theory.lcs.mit.edu preferable soln to 4(c) would use the partial fraction decomposition of 4(a). Insert this if you can before 11am when we go to press (leave in, but label current soln to 4(c) as an alternative approach). Let david jones know if you have time to make this change. Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Apr 14 05:51:01 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29446; Tue, 14 Apr 98 09:52:04 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA15913; Tue, 14 Apr 98 09:51:01 EDT Date: Tue, 14 Apr 98 09:51:01 EDT Message-Id: <199804141351.AA15913@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H45-pset9.ps psets/H45-pset9.ps in pub dir is ready to print. 100 copies. Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Tue Apr 14 08:26:55 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02049; Tue, 14 Apr 98 12:28:09 EDT Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA29662; Tue, 14 Apr 98 12:26:55 EDT Date: Tue, 14 Apr 98 12:26:55 EDT Message-Id: <199804141626.AA29662@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: PS8 solutions and PS9 Problem Set 9 and the Problem Set 8 solutions (including Al's latest changes) are on the file cabinets outside my office. David.  0, unseen,, *** EOOH *** Mail-from: From kylee@mit.edu Tue Apr 14 16:26:36 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07356; Tue, 14 Apr 98 20:27:54 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id UAA13801; Tue, 14 Apr 1998 20:26:37 -0400 Message-Id: <199804150026.UAA13801@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Problem set of my student Date: Tue, 14 Apr 1998 20:26:36 EDT From: Edmond Kayi Lee Anyone got Brad Thompson's problem set 8? I couldn't find his in my pile, and when I asked him, he said he did turn it in. Could you give it to me tomorrow if the problem set turns out to be in your pile? Thanks, Edmond  0, unseen,, *** EOOH *** Mail-from: From sylee@MIT.EDU Tue Apr 14 18:55:20 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08348; Tue, 14 Apr 98 22:56:38 EDT Received: from NO-KNIFE.MIT.EDU by MIT.EDU with SMTP id AA01358; Tue, 14 Apr 98 22:55:21 EDT Received: by no-knife.MIT.EDU (8.8.7/4.7) id WAA12467; Tue, 14 Apr 1998 22:55:20 -0400 (EDT) Message-Id: <199804150255.WAA12467@no-knife.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ps8.. Date: Tue, 14 Apr 1998 22:55:20 EDT From: SeungYong Albert Lee Edmond.. i have Brad's problem set.. and Mark, i have Sanjeeb Bhuyan's problem set.. I bring them to the staff meeting tomorrow.. Al..  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Apr 14 20:09:18 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08769; Wed, 15 Apr 98 00:10:21 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16652; Wed, 15 Apr 98 00:09:18 EDT Date: Wed, 15 Apr 98 00:09:18 EDT Message-Id: <199804150409.AA16652@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: staff mtng tomorrow Reply-To: 6042-meyer@theory.lcs.mit.edu I will not be able to attend staff meeting tomorrow; please go ahead and meet in my office at 1pm anyway to discuss Friday section, PS9 soln, and PS10. A draft of H47-rec9.ps is on the staffonly page. I may decide to include the final section of these notes -- on Bayes Theorem -- in Thurs lecture, in which case I will probably ask you to use the current first team problem (on the OJ trial, taken verbatim from last term) as presentaiton material. I'm also thinking of using a different second team problem. I'll have the final version in time for the staff mtng tomorrow. I'll be available by email 9am--noon and after 7pm Wed if you need me. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 15 08:18:27 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14429; Wed, 15 Apr 98 12:19:29 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA16982; Wed, 15 Apr 98 12:18:27 EDT Date: Wed, 15 Apr 98 12:18:27 EDT Message-Id: <199804151618.AA16982@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Subject: H47-rec10.ps Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu is in staffonly dir and should be coming ou of et any minute. print 7 copies for staff mtng (in my office). Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Wed Apr 15 08:22:49 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14523; Wed, 15 Apr 98 12:24:06 EDT Received: from M37-312-39.MIT.EDU by MIT.EDU with SMTP id AA11464; Wed, 15 Apr 98 12:22:49 EDT Received: by m37-312-39.MIT.EDU (940816.SGI.8.6.9/4.7) id MAA18136; Wed, 15 Apr 1998 12:22:49 -0400 Message-Id: <199804151622.MAA18136@m37-312-39.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Subject: another reason to come to class tomorrow Date: Wed, 15 Apr 1998 12:22:49 EDT From: Tara B Schenkel i want to encourage everyone to come to class tomorrow, since we'll be doing HKN evaluations at 2:30. (maybe all of you who don't usually come to class will tell us why...) tara  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 15 16:52:08 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19880; Wed, 15 Apr 98 20:53:10 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA17349; Wed, 15 Apr 98 20:52:08 EDT Date: Wed, 15 Apr 98 20:52:08 EDT Message-Id: <199804160052.AA17349@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: copying Reply-To: 6042-meyer@theory.lcs.mit.edu I've just had reported to me a likely instance of a student copying a past year's problem soln w/o acknowledgment. ** Do you other TA's have any suspicions of such activity among your students? ** Give me an update on collaboration: how many and in what size groups? Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 15 17:06:13 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19977; Wed, 15 Apr 98 21:07:15 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA17364; Wed, 15 Apr 98 21:06:13 EDT Date: Wed, 15 Apr 98 21:06:13 EDT Message-Id: <199804160106.AA17364@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: drop date grades Reply-To: 6042-meyer@theory.lcs.mit.edu Drop date is Thursday, April 23 -- a week from tomorrow. TA'S: Please prepare complete grade summaries through pset8 for your students, along with a cumulative histogram of all your students grades so your students can see where they stand. Ideally you should hand these out in recitation on Friday; if that's not possible, make other arrangements, eg, see if your students are comfortable getting their grades in email, so they get their grades by Tuesday lecture at the latest. Also, give copies to David Jones. Let me know if you have any questions or problems with this. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Thu Apr 16 10:11:39 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28175; Thu, 16 Apr 98 14:12:57 EDT Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AA01800; Thu, 16 Apr 98 14:11:40 EDT Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id OAA18937; Thu, 16 Apr 1998 14:11:39 -0400 Message-Id: <199804161811.OAA18937@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: PS1 grade for Justin Weir Date: Thu, 16 Apr 1998 14:11:39 EDT From: Tara B Schenkel does anyone have a ps1 grade recorded for Justin Weir? (he switched into my section after he'd gotten back his ps1, so i don't have a grade recorded for it) thanks. tara  0, unseen,, *** EOOH *** Mail-from: From kylee@mit.edu Thu Apr 16 20:05:43 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03975; Fri, 17 Apr 98 00:07:00 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id AAA03420; Fri, 17 Apr 1998 00:05:43 -0400 Message-Id: <199804170405.AAA03420@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Team Problem 10 Date: Fri, 17 Apr 1998 00:05:43 EDT From: Edmond Kayi Lee is now on the staffpage. Edmond  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Apr 17 05:37:51 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06698; Fri, 17 Apr 98 09:39:17 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA18092; Fri, 17 Apr 98 09:37:51 EDT Date: Fri, 17 Apr 98 09:37:51 EDT Message-Id: <199804171337.AA18092@stork.lcs.mit.edu> From: "Albert R. Meyer" To: kylee@mit.edu In-Reply-To: <199804170405.AAA03420@Dragon-Cliff.mit.edu> (message from Edmond Kayi Lee on Fri, 17 Apr 1998 00:05:43 EDT) Subject: Re: Team Problem 10 Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Thanks. Regards, A. Date: Fri, 17 Apr 1998 00:05:43 EDT From: Edmond Kayi Lee is now on the staffpage. Edmond  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Fri Apr 17 07:36:20 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08027; Fri, 17 Apr 98 11:38:27 EDT Received: from M37-312-37.MIT.EDU by MIT.EDU with SMTP id AB24498; Fri, 17 Apr 98 11:36:57 EDT Received: by m37-312-37.MIT.EDU (940816.SGI.8.6.9/4.7) id LAA00847; Fri, 17 Apr 1998 11:36:20 -0400 Message-Id: <199804171536.LAA00847@m37-312-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: pset grades for your students Date: Fri, 17 Apr 1998 11:36:20 EDT From: Tara B Schenkel if anyone is looking for pset grades for their students (for psets that i graded), grades are in devel/grade/r9/grades.crypt, which is crypted with the course key. also- here's recitation attendance for students who aren't mine any more... recitation 1 nestor toro charles yoon john biesiadecki michael paik patrick linskey eric traub matthew taylor kenneth walker dean bolton dennis kwon susan choe shuehan liang romy shioda prashant lal janice kim jon robinson alice chau recitation 2 nestor toro john biesiadecki michael paik romy shioda janice kim matt taylor recitation 3 romy shioda janice kim (left after 1 hour) dennis kwon recitation 4 john biesiadecki (left after 1 hour) michael paik (left after 1 hour) nestor toro romy shioda janice kim recitation 5 nestor toro recitation 6 nestor toro john biesiadecki (left after 1 hour, not paying attention) michael paik (left after 1 hour, not paying attention) tara  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri Apr 17 17:31:04 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA14252; Fri, 17 Apr 98 21:32:05 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA18584; Fri, 17 Apr 98 21:31:04 EDT Date: Fri, 17 Apr 98 21:31:04 EDT Message-Id: <199804180131.AA18584@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: next week's handouts I'll be away next week. Remember to hand out copies of H47-rec10.ps next Thursday. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Wed Apr 22 07:09:39 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22701; Wed, 22 Apr 98 11:11:01 EDT Received: from CATHEDRAL-SEVEN.MIT.EDU by MIT.EDU with SMTP id AA07856; Wed, 22 Apr 98 11:09:45 EDT Received: by cathedral-seven.MIT.EDU (8.8.7/4.7) id LAA16139; Wed, 22 Apr 1998 11:09:40 -0400 (EDT) Message-Id: <199804221509.LAA16139@cathedral-seven.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: staff meeting Date: Wed, 22 Apr 1998 11:09:39 EDT From: Tara B Schenkel are we having a staff meeting today?  0, unseen,, *** EOOH *** Mail-from: From luca@theory.lcs.mit.edu Wed Apr 22 07:11:12 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22773; Wed, 22 Apr 98 11:12:59 EDT Sender: luca@theory.lcs.mit.edu Message-Id: <353E0890.167EB0E7@theory.lcs.mit.edu> Date: Wed, 22 Apr 1998 11:11:12 -0400 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: Tara B Schenkel Cc: 6042-staff@theory.lcs.mit.edu Subject: Re: staff meeting References: <199804221509.LAA16139@cathedral-seven.MIT.EDU> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Tara B Schenkel wrote: > > are we having a staff meeting today? yes, i'll distribute the notes for rec. 11. --luca  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Sun Apr 26 18:31:22 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA09674; Sun, 26 Apr 98 22:32:17 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA21975; Sun, 26 Apr 98 22:31:22 EDT Date: Sun, 26 Apr 98 22:31:22 EDT Message-Id: <199804270231.AA21975@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mroh, kylee Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: ps9sol and ps10 please notify david (and cc 6042-staff) when final versions of ps9 sol and ps10 are on the staff page ready for printing. I guess we're stuck with the out-of-order numbering in handout-numbers.tex since we've already given out team probs 11 numbered as H50, so ps9 sol will be H48 and pset 10 will be H49. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From stasio@mit.edu Mon Apr 27 11:29:56 1998 Return-Path: Received: from enigma.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19762; Mon, 27 Apr 98 15:31:18 EDT Received: (from stasio@localhost) by enigma.LCS.MIT.EDU (8.7.5/8.6.12) id PAA04306; Mon, 27 Apr 1998 15:29:56 -0400 (EDT) Date: Mon, 27 Apr 1998 15:29:56 -0400 (EDT) Message-Id: <199804271929.PAA04306@enigma.LCS.MIT.EDU> From: Stanislaw Jarecki To: dmjones@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: ps10 ready Hi David, the problem set 10 is ready in the /psets directory, as H49-ps10 Stas  0, unseen,, *** EOOH *** Mail-from: From kylee@MIT.EDU Mon Apr 27 11:35:34 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19860; Mon, 27 Apr 98 15:36:58 EDT Received: from W20-575-20.MIT.EDU by MIT.EDU with SMTP id AA02181; Mon, 27 Apr 98 15:35:36 EDT Received: by W20-575-20.MIT.EDU (SMI-8.6/4.7) id PAA06113; Mon, 27 Apr 1998 15:35:34 -0400 Message-Id: <199804271935.PAA06113@W20-575-20.MIT.EDU> To: dmjones@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: PS9-solution ready Date: Mon, 27 Apr 1998 15:35:34 EDT From: Edmond Kayi Lee Hi David, The solution for ps9 is ready for copy. It can be found on the staff page. Thanks, Edmond  0, unseen,, *** EOOH *** Mail-from: From sylee@MIT.EDU Mon Apr 27 14:15:33 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22095; Mon, 27 Apr 98 18:16:58 EDT Received: from M12-182-24.MIT.EDU by MIT.EDU with SMTP id AA05406; Mon, 27 Apr 98 18:15:42 EDT Received: by m12-182-24.MIT.EDU (SMI-8.6/4.7) id SAA09053; Mon, 27 Apr 1998 18:15:34 -0400 Message-Id: <199804272215.SAA09053@m12-182-24.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: typo in ps9 soln... Date: Mon, 27 Apr 1998 18:15:33 EDT From: SeungYong Albert Lee top of the page 7, If P(A_i) = 1/1000 for all i = 1,2,... 1000, the equality holds.... ^ should be 1/10000. ... the probability of failure is 1/1000 for each of the events.. ^ should be 1/10000 Al...  0, unseen,, *** EOOH *** Mail-from: From kylee@MIT.EDU Mon Apr 27 14:34:31 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22266; Mon, 27 Apr 98 18:35:55 EDT Received: from W20-575-20.MIT.EDU by MIT.EDU with SMTP id AA10056; Mon, 27 Apr 98 18:34:40 EDT Received: by W20-575-20.MIT.EDU (SMI-8.6/4.7) id SAA06224; Mon, 27 Apr 1998 18:34:31 -0400 Message-Id: <199804272234.SAA06224@W20-575-20.MIT.EDU> To: sylee@MIT.EDU Cc: 6042-staff@theory.lcs.mit.edu Subject: Ps9-solution error Date: Mon, 27 Apr 1998 18:34:31 EDT From: Edmond Kayi Lee Hi Al, Thanks for picking that out. The corrected solution is now on the staff page. Edmond  0, unseen,, *** EOOH *** Mail-from: From dmjones@theory.lcs.mit.edu Tue Apr 28 07:22:35 1998 Return-Path: Received: from sandpiper.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00201; Tue, 28 Apr 98 11:23:52 EDT Received: by sandpiper.lcs.mit.edu (5.65c/TOC-1.2C) id AA10352; Tue, 28 Apr 98 11:22:35 EDT Date: Tue, 28 Apr 98 11:22:35 EDT Message-Id: <199804281522.AA10352@sandpiper.lcs.mit.edu> From: "David M. Jones" To: 6042-staff Subject: PS9 solutions and PS10 I've made copies of the PS9 solutions and PS10 and left them in Stas's office. The copies were made of the corrected PS9 solutions from 6:30 last night. David.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue Apr 28 16:11:42 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07376; Tue, 28 Apr 98 20:12:35 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA23460; Tue, 28 Apr 98 20:11:42 EDT Date: Tue, 28 Apr 98 20:11:42 EDT Message-Id: <199804290011.AA23460@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-students Subject: conflict final exam Reply-To: 6042-meyer@theory.lcs.mit.edu If you have a schedule conflict with the 6.042 final exam Friday, May 22, 9am--noon, DuPont (W31-140), please let me know asap of the other times you ARE available during Final Exam Week so we can schedule a conflict exam. Also, if your 6.042 conflict is with anything other than another final exam, please indicate the nature of the conflict. Yours truly, Prof. Albert R. Meyer MIT Lab. for Computer Science  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 29 18:45:40 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20296; Wed, 29 Apr 98 22:46:33 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA24498; Wed, 29 Apr 98 22:45:40 EDT Date: Wed, 29 Apr 98 22:45:40 EDT Message-Id: <199804300245.AA24498@stork.lcs.mit.edu> From: "Albert R. Meyer" To: maciej@MIT.EDU In-Reply-To: <199804232015.QAA28145@buzzword-bingo.MIT.EDU> (message from Michael M Bryzek on Thu, 23 Apr 1998 16:15:37 EDT) Subject: Re: 6.042: Guest Lecturer Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Dear Mike: I take seriously the concerns you raised in your email. I have also noted the low attendance in lectures and am concerned about the reasons for it. I was surprised to hear that you thought the Guest Lecturer was a significant source of the problem. I actually thought it was more my own lectures, since I feel they reflect too much my own struggle to master teaching much of this material for the first time. Anyway, the Guest Lecturer and I have consulted in advance about all his lectures. I was out of town for his lecture last Thursday, but attended his other two lectures and found them well-prepared and clearly presented. His Thursday lecture closely followed the material from last term (6.042 F97, Lecture 20). I appreciate the effort you put into your email message and the sincerity of your suggestions, but I will need more feedback from others to be persuaded by them. I've already discussed this further with the staff. We definitely would like to find ways to diagnose and improve class quality. I also asked the Guest Lecturer to consider your concerns and prepare a reply which is appended below. I'd be pleased to hear further suggestions. Regards, Albert -------------------------------- -------------------------------- Dear Michael, I discussed with prof Meyer about your complaints on the content of my lectures. I appreciate your interest into this course, and I am sorry about your disappointment. MIT is about excellence in teaching and in research, and disappointing lectures (and lecturers) are not part of this standard. Coming to the point, our course is following the curriculum and the contents elaborated last term, and every lecture covers almost the same material as the corresponding lecture of the previous term. This means that I do not decide what to cover in the lecture every time, but I follow fairly closely the contents of the lecture notes. As for the exposition, I believe that using simple examples and reminding about already explained concepts and formulas, whenever needed, makes the lecture easier to follow. Albert Meyer is much more experienced than I am about teaching to undergraduates, and it is his impression that the other students do not feel exasperated by this style of presentation (as, unfortunately, you do) and that your complaints are not expression of a significant number of them. Although we are seriously considering the implications of your input, we do not believe that any major change is needed or appropriate. If you think that other students share your feelings, then please ask them to send their comments too, since this would be extremely useful. Sincerely Luca Trevisan  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed Apr 29 18:46:25 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20307; Wed, 29 Apr 98 22:47:18 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA24515; Wed, 29 Apr 98 22:46:25 EDT Date: Wed, 29 Apr 98 22:46:25 EDT Message-Id: <199804300246.AA24515@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: [maciej@MIT.EDU: 6.042: Guest Lecturer] FYI: ------- Start of forwarded message ------- To: meyer@theory.lcs.mit.edu Cc: maciej@MIT.EDU Subject: 6.042: Guest Lecturer Date: Thu, 23 Apr 1998 16:15:37 EDT From: Michael M Bryzek Prof Meyer, I am very disappointed with the quality of the lectures presented by the Guest Lecturer and would appreciate your addressing the issue in the remaining 3 lectures set to be presented by him. Today in lecture, there were 18 people at 3:30 pm, including any TA's and staff who showed up. There were more at the start of class, but 5 minutes into the lecture many people left. The lecture began with a complete review of material already covered rather than presenting any useful new information. The Lecture was structured as a recitation and not a lecture. For example, the lecture began with the following statement: Pr(A|B) = Pr(A & B) / pr(B) This was covered very thoroughly over two lectures ago! Another example comes from his first lecture where he defined a binary string as a string consisting of 0's and 1's, continuing to elaborate on the definition of a binary string. This is not information that is anywhere near the correct level for presentation to the 6.042 class. Please do not take this issue lightly. Quality of lectures at MIT has always been a high priority, and comes along with a high price tag. The Guest Lecturer is having difficulty addressing an MIT student audience. I would like to see one of three things happen: 1) Completely preview all lectures presented by the guest lecturer, correcting most of the time spent re-iterating past material 2) Replace the guest lecturer completely 3) Remove the material presented in the guest lectures completely from the course and the final. The manner in which it is currently being presented is atrocious enough to warrant this option. Thank you for your time and I would appreciate a response. - -Mike Bryzek 6.042 student ------- End of forwarded message -------  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu Apr 30 22:27:35 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03385; Fri, 01 May 98 02:28:27 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA25296; Fri, 01 May 98 02:27:35 EDT Date: Fri, 01 May 98 02:27:35 EDT Message-Id: <199805010627.AA25296@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: handouts H52-4 team probs 12 and rec 12 notes on staffonly page Also, there is a 3 page note from Lecture 19: H54-dicegame on the public web page. DAVID: make 130 copies of H54-dicegame.ps and H52-teamprobs12.ps and leave them for TA's to pick up in the morn. Regards, A.  1,, Mail-from: From meyer@theory.lcs.mit.edu Fri May 1 07:11:22 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06542; Fri, 01 May 98 11:12:14 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA25462; Fri, 01 May 98 11:11:22 EDT Date: Fri, 01 May 98 11:11:22 EDT Message-Id: <199805011511.AA25462@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H54-dicegame.ps *** EOOH *** Date: Fri, 01 May 98 11:11:22 EDT From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H54-dicegame.ps revised version now on public web page and in pub lectures/. Make new copies please. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From sylee@MIT.EDU Fri May 1 08:11:25 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07182; Fri, 01 May 98 12:12:49 EDT Received: from M12-182-22.MIT.EDU by MIT.EDU with SMTP id AA21537; Fri, 1 May 98 12:11:26 EDT Received: by m12-182-22.MIT.EDU (SMI-8.6/4.7) id MAA29643; Fri, 1 May 1998 12:11:26 -0400 Message-Id: <199805011611.MAA29643@m12-182-22.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: formula for Rec12.. Date: Fri, 01 May 1998 12:11:25 EDT From: SeungYong Albert Lee is not complete.. it will be ready by this evening... Al..  0, unseen,, *** EOOH *** Mail-from: From sylee@MIT.EDU Fri May 1 12:48:00 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA10651; Fri, 01 May 98 16:49:26 EDT Received: from M12-182-18.MIT.EDU by MIT.EDU with SMTP id AA24777; Fri, 1 May 98 16:48:10 EDT Received: by m12-182-18.MIT.EDU (SMI-8.6/4.7) id QAA06112; Fri, 1 May 1998 16:48:00 -0400 Message-Id: <199805012048.QAA06112@m12-182-18.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: formula for rec12.. Date: Fri, 01 May 1998 16:48:00 EDT From: SeungYong Albert Lee is ready... it's in the staffonly page.. Al..  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Sun May 3 17:40:07 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA23508; Sun, 03 May 98 21:41:32 EDT Received: from M37-312-40.MIT.EDU by MIT.EDU with SMTP id AA01100; Sun, 3 May 98 21:40:08 EDT Received: by m37-312-40.MIT.EDU (940816.SGI.8.6.9/4.7) id VAA08697; Sun, 3 May 1998 21:40:07 -0400 Message-Id: <199805040140.VAA08697@m37-312-40.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: mark phillip's ps9 Date: Sun, 03 May 1998 21:40:07 EDT From: Tara B Schenkel i got mark phillip's ps9 in my box- whose student is he? tara  0, unseen,, *** EOOH *** Mail-from: From mroh@MIT.EDU Mon May 4 16:13:26 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04927; Mon, 04 May 98 20:14:54 EDT Received: from M12-182-9.MIT.EDU by MIT.EDU with SMTP id AA13585; Mon, 4 May 98 20:13:40 EDT Received: by m12-182-9.MIT.EDU (SMI-8.6/4.7) id UAA06542; Mon, 4 May 1998 20:13:27 -0400 Message-Id: <199805050013.UAA06542@m12-182-9.MIT.EDU> To: 6042-staff@theory.lcs Subject: H55-pset10sol Date: Mon, 04 May 1998 20:13:26 EDT From: "Mark C. Roh" H55-pset10sol is available on the devel page. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876  0, unseen,, *** EOOH *** Mail-from: From luca@theory.lcs.mit.edu Mon May 4 22:48:31 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07496; Tue, 05 May 98 02:50:40 EDT Sender: luca@theory.lcs.mit.edu Message-Id: <354EB63F.2C67412E@theory.lcs.mit.edu> Date: Tue, 05 May 1998 02:48:31 -0400 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: 6042-staff Subject: tutorial 13 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit hi, a first draft of tutorial 13 notes is in the /devel/tutorials dir. teaching material is to be edited, but problems are probably final. let me know if you think that they are too short. best --- luca  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Tue May 5 09:19:31 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA13792; Tue, 05 May 98 13:20:20 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA27381; Tue, 05 May 98 13:19:31 EDT Date: Tue, 05 May 98 13:19:31 EDT Message-Id: <199805051719.AA27381@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: devel sections/H58-rec13 Reply-To: 6042-meyer@theory.lcs.mit.edu I've corrected a few typos in Luca's draft and put the result in the devel sections/ directory and on the staff web page. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From amsduran@NW61-431-1.MIT.EDU Tue May 5 16:32:59 1998 Return-Path: Received: from NW61-431-1.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19074; Tue, 05 May 98 20:34:26 EDT Received: (from amsduran@localhost) by NW61-431-1.MIT.EDU (8.8.5/8.8.5) id UAA02157; Tue, 5 May 1998 20:32:59 -0400 From: "Alexander M. S. Duran" Message-Id: <199805060032.UAA02157@NW61-431-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Ps10 solutions Date: Tue, 05 May 1998 20:32:59 EDT I don't remember seeing mail about this, so: Problem 6, (.7/.25) = (2.8), not (.28). One of my students pointed this out. --Alex amsduran@mit.edu  0, unseen,, *** EOOH *** Mail-from: From mroh@MIT.EDU Tue May 5 17:49:14 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19515; Tue, 05 May 98 21:50:52 EDT Received: from EXODUS.MIT.EDU by MIT.EDU with SMTP id AA20452; Tue, 5 May 98 21:49:26 EDT From: mroh@MIT.EDU Received: by exodus.MIT.EDU (8.6.10/4.7) id VAA07792; Tue, 5 May 1998 21:49:14 -0400 Message-Id: <199805060149.VAA07792@exodus.MIT.EDU> To: "Alexander M. S. Duran" Cc: 6042-staff@theory.lcs Subject: Re: Ps10 solutions In-Reply-To: Your message of "Tue, 05 May 1998 20:32:59 EDT." <199805060032.UAA02157@NW61-431-1.MIT.EDU> Date: Tue, 05 May 1998 21:49:14 EDT You're right, of course. I've fixed the solutions. Sorry about that. Mark  0, unseen,, *** EOOH *** Mail-from: From etara@MIT.EDU Tue May 5 20:11:24 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20525; Wed, 06 May 98 00:12:52 EDT Received: from DEPARTMENT-OF-ALCHEMY.MIT.EDU by MIT.EDU with SMTP id AA26018; Wed, 6 May 98 00:11:38 EDT Received: by department-of-alchemy.MIT.EDU (8.8.7/4.7) id AAA12226; Wed, 6 May 1998 00:11:25 -0400 (EDT) Message-Id: <199805060411.AAA12226@department-of-alchemy.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: jamal blackwell's ps10 Date: Wed, 06 May 1998 00:11:24 EDT From: Tara B Schenkel does anyone have jamal blackwell's ps10? he said he handed it in, but i didn't get it. could everyone check and bring it to staff meeting if you have it? thanks. tara  0, unseen,, *** EOOH *** Mail-from: From amsduran@NW61-431-1.MIT.EDU Tue May 5 20:25:23 1998 Return-Path: Received: from NW61-431-1.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA20711; Wed, 06 May 98 00:26:49 EDT Received: (from amsduran@localhost) by NW61-431-1.MIT.EDU (8.8.5/8.8.5) id AAA02665; Wed, 6 May 1998 00:25:23 -0400 From: "Alexander M. S. Duran" Message-Id: <199805060425.AAA02665@NW61-431-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Re: jamal blackwell's ps10 In-Reply-To: Your message of "Wed, 06 May 1998 00:11:24 EDT." <199805060411.AAA12226@department-of-alchemy.MIT.EDU> Date: Wed, 06 May 1998 00:25:23 EDT I have a number of extra problem sets, including jamal blackwell's. These include: Jamal Uriel Schefer Brad Thompson Eric Banks --Alex  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Wed May 6 08:33:54 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25537; Wed, 06 May 98 12:34:43 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA28070; Wed, 06 May 98 12:33:54 EDT Date: Wed, 06 May 98 12:33:54 EDT Message-Id: <199805061633.AA28070@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: 8 copies of handouts for staff mtng in 30 min. 4 handouts: H54 H56 H58 and pset11-sol They should be printing now at et. Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From amsduran@NW61-431-1.MIT.EDU Wed May 6 11:10:40 1998 Return-Path: Received: from NW61-431-1.MIT.EDU by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA27627; Wed, 06 May 98 15:12:11 EDT Received: (from amsduran@localhost) by NW61-431-1.MIT.EDU (8.8.5/8.8.5) id PAA01184; Wed, 6 May 1998 15:10:40 -0400 From: "Alexander M. S. Duran" Message-Id: <199805061910.PAA01184@NW61-431-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: staff meeting Date: Wed, 06 May 1998 15:10:40 EDT I don't know what happened, I completely forgot about the staff meeting. I'll bring the missing problem sets to lecture tomorrow. I'm really sorry. --Alex amsduran@mit.edu  0, unseen,, *** EOOH *** Mail-from: From luca@theory.lcs.mit.edu Wed May 6 12:51:52 1998 Return-Path: Received: from ostrich (ostrich.lcs.mit.edu) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28945; Wed, 06 May 98 16:54:06 EDT Sender: luca@theory.lcs.mit.edu Message-Id: <3550CD68.102F11D5@theory.lcs.mit.edu> Date: Wed, 06 May 1998 16:51:52 -0400 From: Luca Trevisan X-Mailer: Mozilla 3.01Gold (X11; I; SunOS 4.1.4 sun4m) Mime-Version: 1.0 To: Edmond Kayi Lee Cc: 6042-staff Subject: H58 and H57 References: <199803170330.WAA28175@Kings-College.MIT.edu> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Edmond, i am done revising H58 and H57 (they are in the devel/tutorials directory.) you can edit H57 whenever you want. Best --L.  0, unseen,, *** EOOH *** Mail-from: From kylee@MIT.EDU Wed May 6 16:42:51 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01065; Wed, 06 May 98 20:44:22 EDT Received: from W20-575-96.MIT.EDU by MIT.EDU with SMTP id AA15871; Wed, 6 May 98 20:42:52 EDT Received: by w20-575-96.MIT.EDU (SMI-8.6/4.7) id UAA10572; Wed, 6 May 1998 20:42:52 -0400 Message-Id: <199805070042.UAA10572@w20-575-96.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Rec13 Note and Team Problems Date: Wed, 06 May 1998 20:42:51 EDT From: Edmond Kayi Lee are in the staff page. The part for justification of a proof is included in the team problem handout. Edmond  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Thu May 7 08:09:36 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07173; Thu, 07 May 98 12:10:24 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA28756; Thu, 07 May 98 12:09:36 EDT Date: Thu, 07 May 98 12:09:36 EDT Message-Id: <199805071609.AA28756@stork.lcs.mit.edu> From: "Albert R. Meyer" To: jones Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H54-dicegame, H56-sum-expectation, H59-pset11sol 50 copies each for lecture today. Thanks, A.  0, unseen,, *** EOOH *** Mail-from: From kylee@MIT.EDU Fri May 8 09:52:35 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA19689; Fri, 08 May 98 13:54:02 EDT Received: from W20-575-68.MIT.EDU by MIT.EDU with SMTP id AA23787; Fri, 8 May 98 13:52:49 EDT Received: by w20-575-68.MIT.EDU (940816.SGI.8.6.9/4.7) id NAA25094; Fri, 8 May 1998 13:52:36 -0400 Message-Id: <199805081752.NAA25094@w20-575-68.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Problem Sets Date: Fri, 08 May 1998 13:52:35 EDT From: Edmond Kayi Lee Is anyone keeping Uriel Schafer and Brad Thompson's problem sets? I asked them and they said they've given to one of the TA's in Tuesday's lecture. Thanks, Edmond  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Fri May 8 13:55:41 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22116; Fri, 08 May 98 17:56:28 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA29762; Fri, 08 May 98 17:55:41 EDT Date: Fri, 08 May 98 17:55:41 EDT Message-Id: <199805082155.AA29762@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: H60 one-sided chebyshev bound Reply-To: 6042-meyer@theory.lcs.mit.edu It's there for the record on the staffonly page. Students will not be responsible for it, since it assumes the def of conditional expectation which we haven't discussed. Regards, A.  0, unseen,, *** EOOH *** Mail-from: From meyer@theory.lcs.mit.edu Mon May 11 07:22:15 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA08710; Mon, 11 May 98 11:23:43 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA00595; Mon, 11 May 98 11:22:15 EDT Date: Mon, 11 May 98 11:22:15 EDT Message-Id: <199805111522.AA00595@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-students Subject: conflict final, Wed, 5/20, 9am Reply-To: 6042-meyer@theory.lcs.mit.edu location TBA. (NOTE: Prior permission is required to take the conflict final; permission deadline is this Thursday--last day of class.) Yours truly, Prof. Albert R. Meyer MIT Lab. for Computer Science  1,, Mail-from: From meyer@theory.lcs.mit.edu Tue May 12 17:34:43 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28014; Tue, 12 May 98 21:34:43 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA02293; Tue, 12 May 98 21:34:43 EDT Date: Tue, 12 May 98 21:34:43 EDT Message-Id: <199805130134.AA02293@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Subject: grade format Reply-To: 6042-meyer@theory.lcs.mit.edu *** EOOH *** Date: Tue, 12 May 98 21:34:43 EDT From: "Albert R. Meyer" To: 6042-staff Subject: grade format Reply-To: 6042-meyer@theory.lcs.mit.edu Please enter your final grades into devel /grade/rN/ta-grades-recN where N in [1,12], KRYPTED with the course key. Use "krypt" in theory if possible; if you must use "crypt" on another machine, leave an empty file named use-crypt in your recitation directories. I'd like them in place by tomorrow (WED) 5pm. 6.042 student grade record format as follows: q psets (missed) tuts (tuts missed) rec# ta comments ("Perfect, Score" 100 35 () 25 () 9 tara "super star") ("Room, Elbow" 81 26 (6 9) 22 (9 11) 6 kylee "slowed down at end") (..) student name in registrar's format in "double-quotes" raw quiz score in [0,100] final pset grade in [0,35] final recitation grade in [0, 25] sect# in [1,12] TA name NOT in quotes comments in "double-quotes" Also, give a copy of your complete raw scores (viz, scores for each pset and recitation), in whatever form is convenient for you, to David Jones for my records. Thanks, A. From etara@MIT.EDU Thu May 14 19:20:26 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA21940; Thu, 14 May 98 23:20:28 EDT Received: from M1-142-5.MIT.EDU by MIT.EDU with SMTP id AA05116; Thu, 14 May 98 23:20:23 EDT Received: by m1-142-5.MIT.EDU (SMI-8.6/4.7) id XAA06561; Thu, 14 May 1998 23:20:26 -0400 Message-Id: <199805150320.XAA06561@m1-142-5.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: grades Date: Thu, 14 May 1998 23:20:26 EDT From: Tara B Schenkel could you guys please put your grades in the devel directory as soon as possible? it would be easier for me if you put grades for both your recitations in one file. and if you haven't formatted your grades already, could you add a placeholder for the final exam grade right after the student name (and just set it to 0 for now) i.e. final q psets (missed) tuts (tuts missed) rec# ta comments ("Perfect, Score" 0 100 35 () 25 () 9 tara "super star") (mark, i already did it for yours.) and please email me when you've got it done so i don't have to keep checking. thanks. tara From kylee@mit.edu Fri May 15 10:12:26 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28200; Fri, 15 May 98 14:12:29 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id OAA13714; Fri, 15 May 1998 14:12:27 -0400 Message-Id: <199805151812.OAA13714@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Appendix Date: Fri, 15 May 1998 14:12:26 EDT From: Edmond Kayi Lee The appendix for final exam is now on the staff page. Please take a look before we release it to make sure everything needed is included. Edmond From etara@MIT.EDU Fri May 15 13:34:34 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00521; Fri, 15 May 98 17:34:34 EDT Received: from M37-312-40.MIT.EDU by MIT.EDU with SMTP id AA06497; Fri, 15 May 98 17:34:29 EDT Received: by m37-312-40.MIT.EDU (940816.SGI.8.6.9/4.7) id RAA12743; Fri, 15 May 1998 17:34:34 -0400 Message-Id: <199805152134.RAA12743@m37-312-40.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: ALEX and AL Date: Fri, 15 May 1998 17:34:34 EDT From: Tara B Schenkel please put your grades in the devel directory. tara From meyer@theory.lcs.mit.edu Sat May 16 19:01:27 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA06728; Sat, 16 May 98 23:01:23 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA03980; Sat, 16 May 98 23:01:27 EDT Date: Sat, 16 May 98 23:01:27 EDT Message-Id: <199805170301.AA03980@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-students Subject: Closed Book Final Exam and Handout 60: Review Sheet Reply-To: 6042-meyer@theory.lcs.mit.edu The Final is CLOSED BOOK -- unlike the quiz. You will NOT be allowed to bring your own crib sheet. However, we have written a review sheet for you, namely, HANDOUT 60 will be attached to the Final as an Appendix. It is now on the course web page. Also look at the web page for further info about review material and sessions. Good luck with your review. Regards, A. From amsduran@MIT.EDU Mon May 18 14:13:51 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22043; Mon, 18 May 98 18:13:54 EDT Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA24362; Mon, 18 May 98 18:13:57 EDT Received: by mint-square.MIT.EDU (8.8.7/4.7) id SAA08676; Mon, 18 May 1998 18:13:51 -0400 (EDT) Message-Id: <199805182213.SAA08676@mint-square.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Grades Date: Mon, 18 May 1998 18:13:51 EDT From: "Alexander M. S. Duran" I collected the grades in the requested format and put them in /a/class/6.042/spring98/grade/r1/alex-grades-r1. (This includes grades for r1 and r2, with the proper recitation number field set in the file) If you need anything else, I can get it for you in the morning. --Alex amsduran@mit.edu From mroh@MIT.EDU Tue May 19 13:32:56 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04668; Tue, 19 May 98 17:32:59 EDT Received: from M38-370-15.MIT.EDU by MIT.EDU with SMTP id AA15061; Tue, 19 May 98 17:32:52 EDT Received: by m38-370-15.MIT.EDU (SMI-8.6/4.7) id RAA11720; Tue, 19 May 1998 17:32:56 -0400 Message-Id: <199805192132.RAA11720@m38-370-15.MIT.EDU> To: 6042-staff@theory.lcs Subject: typo in practice final Date: Tue, 19 May 1998 17:32:56 EDT From: "Mark C. Roh" We should inform the students of a typo in the practice final from previous semesters. The problem is labeled variously as problem 4 or 5, depending on the semester you print from. The T/F question reads "f_a(x)=axp" when it should read, "f_a(x)=ax (mod p)". Later in the question, we should have, "If a^(-1) (mod b) exists, then so does b^(-1) (mod a)". It looks like the error stems from an undefined LaTeX macro. Mark From meyer@theory.lcs.mit.edu Tue May 19 13:46:56 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA04850; Tue, 19 May 98 17:46:50 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05468; Tue, 19 May 98 17:46:56 EDT Date: Tue, 19 May 98 17:46:56 EDT Message-Id: <199805192146.AA05468@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mroh@MIT.EDU In-Reply-To: <199805192132.RAA11720@m38-370-15.MIT.EDU> (mroh@MIT.EDU) Subject: Re: typo in practice final Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu OK, send the announcement. While you're at it, try correcting the typo on those files for which you have write privileges (you are in group ta6042 as well as 6042-s98). Thanks, A. Date: Tue, 19 May 1998 17:32:56 EDT From: "Mark C. Roh" We should inform the students of a typo in the practice final from previous semesters. The problem is labeled variously as problem 4 or 5, depending on the semester you print from. The T/F question reads "f_a(x)=axp" when it should read, "f_a(x)=ax (mod p)". Later in the question, we should have, "If a^(-1) (mod b) exists, then so does b^(-1) (mod a)". It looks like the error stems from an undefined LaTeX macro. Mark From mroh@MIT.EDU Tue May 19 19:50:58 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07354; Tue, 19 May 98 23:51:10 EDT Received: from M12-182-20.MIT.EDU by MIT.EDU with SMTP id AA22687; Tue, 19 May 98 23:50:59 EDT Received: by m12-182-20.MIT.EDU (SMI-8.6/4.7) id XAA14384; Tue, 19 May 1998 23:50:59 -0400 Message-Id: <199805200350.XAA14384@m12-182-20.MIT.EDU> To: 6042-students@theory.lcs Subject: 6.042 practice final correction Date: Tue, 19 May 1998 23:50:58 EDT From: "Mark C. Roh" If you're preparing for Friday's final by studying previous semesters' practice finals, you ought to know that Question 5 of the Spring 1997 practice final has a few typos in it. Question 5 consists of four T/F questions. The first reads "... f_a(x)=axp" when it should read, "... f_a(x)=ax (mod p)" The third T/F question reads "If a^(-1)b exists, then so does b^(-1)a." It should state, "If a^(-1) (mod b) exists, then so does b^(-1) (mod a)." The other two parts need no correction. A corrected version of the problem is available on this semester's 6.042 home page. I apologize for the error. Mark From meyer@theory.lcs.mit.edu Tue May 19 20:16:33 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07530; Wed, 20 May 98 00:16:31 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA05850; Wed, 20 May 98 00:16:33 EDT Date: Wed, 20 May 98 00:16:33 EDT Message-Id: <199805200416.AA05850@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: Re: A question from a student LET ME KNOW IF THIS SITUATION HAS COME UP IN YOUR RECITATION: Date: Tue, 19 May 1998 20:37:22 EDT From: Edmond Kayi Lee The mail is from one of my student. He missed some of the sections for varsity competitions. Should I just ignore his absence for Rec 3,5,7 and take it as missing only 1 section? He did inform me before the recitation 3,5,7. I think I should give him some more score if the three missing sections should be completely forgiven. Edmond ------ Edmond, I am only aware of these four absences from recitation: Rec 3 (2/20) - New England Division 3 indoor track championships Rec 5 (3/6) - ICAAAA indoor track championships Rec 7 (3/20) - Florida relays Rec 9 (4/10) - unexcused in accordance with the academic-varsity athletics policy, my track coach has told me that I should not be penalized for recitations 3,5 and 7, because they were for varsity competitions and I informed you of this in advance on each occasion. also, last term the C/D border line was 70%. do you have any idea what it will be this term? we can discuss this more at office hours thursday afternoon. Ken Walker ------- End of Forwarded Message Date: Wed, 20 May 1998 00:13:29 -0400 From: "Albert R. Meyer" To: kylee@mit.edu In-reply-to: <199805200037.UAA10958@Dragon-Cliff.mit.edu> (message from Edmond Kayi Lee on Tue, 19 May 1998 20:37:22 EDT) He missed some of the sections for varsity competitions. Should I just ignore his absence for Rec 3,5,7 and take it as missing only 1 section? YES. I think I should give him some more score if the three missing sections should be completely forgiven. YES. Normal policy on conflicts with athletic events is to excuse the student at the time, but TO FIND A WAY TO MAKE UP THE WORK. For example, instructors often give the coaches an exam to administer when the athletic event is over. In this case, we might have had him write up team problem solutions. But it's too late to ask for that now, so we have to completely excuse him. However, make sure this gets noted in the comment field of the grade records Tara is compiling. Regards, A. Date: Tue, 19 May 1998 20:37:22 EDT From: Edmond Kayi Lee The mail is from one of my student. He missed some of the sections for varsity competitions. Should I just ignore his absence for Rec 3,5,7 and take it as missing only 1 section? He did inform me before the recitation 3,5,7. I think I should give him some more score if the three missing sections should be completely forgiven. Edmond ------ Edmond, I am only aware of these four absences from recitation: Rec 3 (2/20) - New England Division 3 indoor track championships Rec 5 (3/6) - ICAAAA indoor track championships Rec 7 (3/20) - Florida relays Rec 9 (4/10) - unexcused in accordance with the academic-varsity athletics policy, my track coach has told me that I should not be penalized for recitations 3,5 and 7, because they were for varsity competitions and I informed you of this in advance on each occasion. also, last term the C/D border line was 70%. do you have any idea what it will be this term? we can discuss this more at office hours thursday afternoon. Ken Walker ------- End of Forwarded Message From kylee@mit.edu Tue May 19 21:21:55 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA07884; Wed, 20 May 98 01:21:57 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id BAA12479; Wed, 20 May 1998 01:21:55 -0400 Message-Id: <199805200521.BAA12479@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Updated grade file Date: Wed, 20 May 1998 01:21:55 EDT From: Edmond Kayi Lee Hi, I have updated the grade file and put it in grade/r5/grade in the development directory, krpyted. Edmond From meyer@theory.lcs.mit.edu Wed May 20 04:33:09 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA10008; Wed, 20 May 98 08:33:03 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06165; Wed, 20 May 98 08:33:09 EDT Date: Wed, 20 May 98 08:33:09 EDT Message-Id: <199805201233.AA06165@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: draft final It's crypted in devel quiz/H62-final.tex (.ps). I'd like TARA, ALEX, EDMOND and STAS to look it over and send me comments and corrections by this evening. The last four problems are Markov/Chebyshev/Chernoff problems taken from previous terms. I left them as place holders for what should be a single, new problem of the same kind. Luca is working on this. Even with these four problems reduced to one, the exam is 30--50% too long. Let me know what you think should best be cut. I'll be tied up the rest of today until about 6pm. MARK and AL LEE: you two should NOT look at it yet. I want you to actually try taking the exam, and time yourselves, w/o having seen it before. Plan on taking it Thursday morn; I'll let you when it's ready. Thanks, A. From mroh@MIT.EDU Wed May 20 12:03:47 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15659; Wed, 20 May 98 16:03:59 EDT Received: from M12-182-1.MIT.EDU by MIT.EDU with SMTP id AA12875; Wed, 20 May 98 16:03:41 EDT Received: by m12-182-1.MIT.EDU (940816.SGI.8.6.9/4.7) id QAA21601; Wed, 20 May 1998 16:03:47 -0400 Message-Id: <199805202003.QAA21601@m12-182-1.MIT.EDU> To: 6042-staff@theory.lcs Date: Wed, 20 May 1998 16:03:47 EDT From: "Mark C. Roh" I'm a bit confused by some of the problems on the practice final. They're T/F, so the answers came without explanation. Have you guys looked at these? "The number of shortest paths in an n-vertex undirected graph is O(n^2). (Note: there may be more than shortest path between two vertices.)" The answer is "false". I'm not positive how to interpret this problem, but I'm guessing from the context that "the number of shortest paths" is taken to mean \sum_{all vertex pairs (u,v)} (the number of shortest paths between u and v) I think the complete bipartite graph K_{n/2, n/2} is a counterexample here: the number of paths of length 2 between vertices in the same partition is n*(n/2 \choose 2) = O(n^3), so the overall sum is O(n^3) as well. Is this the right interpretation? Finally, how about: "The number of length-3 paths in an n vertex tree is O(n)"? The answer, again, is "false." I drew a tree of depth 2 such that every depth-1 node has exactly one child, so that the root node as ((n-1)/2) children. This yields (number of length-3 paths)=O(n^2). Do you have any simpler ideas? Mark From meyer@theory.lcs.mit.edu Wed May 20 12:09:23 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15806; Wed, 20 May 98 16:09:17 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA06559; Wed, 20 May 98 16:09:23 EDT Date: Wed, 20 May 98 16:09:23 EDT Message-Id: <199805202009.AA06559@stork.lcs.mit.edu> From: "Albert R. Meyer" To: mroh@MIT.EDU In-Reply-To: <199805202003.QAA21601@m12-182-1.MIT.EDU> (mroh@MIT.EDU) Subject: T/F questions Cc: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu "The number of shortest paths in an n-vertex undirected graph is O(n^2). (Note: there may be more than shortest path between two vertices.)" The answer is "false". I'm not positive how to interpret this problem, but I'm guessing from the context that "the number of shortest paths" is taken to mean \sum_{all vertex pairs (u,v)} (the number of shortest paths between u and v) YES, that's what I thought. I think the complete bipartite graph K_{n/2, n/2} is a counterexample here: the number of paths of length 2 between vertices in the same partition is n*(n/2 \choose 2) = O(n^3), so the overall sum is O(n^3) as well. Is this the right interpretation? YES, good example. Finally, how about: "The number of length-3 paths in an n vertex tree is O(n)"? The answer, again, is "false." I drew a tree of depth 2 such that every depth-1 node has exactly one child, so that the root node as ((n-1)/2) children. This yields (number of length-3 paths)=O(n^2). Do you have any simpler ideas? That's also the example I had in mind. Regards, A. From meyer@theory.lcs.mit.edu Thu May 21 08:30:31 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25303; Thu, 21 May 98 12:30:24 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA07351; Thu, 21 May 98 12:30:31 EDT Date: Thu, 21 May 98 12:30:31 EDT Message-Id: <199805211630.AA07351@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H62-final.ps The final version is krypted in the devel quiz/ directory. Let me know of any final comments -- David is available so we still can go to press right after dinner. Regards, A. From kylee@mit.edu Thu May 21 08:55:08 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25605; Thu, 21 May 98 12:55:13 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id MAA22026; Thu, 21 May 1998 12:55:08 -0400 Message-Id: <199805211655.MAA22026@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Comment on updated exam Date: Thu, 21 May 1998 12:55:08 EDT From: Edmond Kayi Lee The exam looks fine. For question 1, the 8th statement, r can be a rational (e.g. 0.33333...) and the set of infinite subsequences can be countable. Is it what we originially mean? Edmond From kylee@mit.edu Thu May 21 09:09:22 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA25764; Thu, 21 May 98 13:09:27 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id NAA22104; Thu, 21 May 1998 13:09:22 -0400 Message-Id: <199805211709.NAA22104@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Additional Comment Date: Thu, 21 May 1998 13:09:22 EDT From: Edmond Kayi Lee Actually, I am not quite sure what the second T/F questions is asking. Can someone explain to me? Edmond From mroh@MIT.EDU Thu May 21 11:59:46 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28402; Thu, 21 May 98 15:59:51 EDT Received: from W20-575-28.MIT.EDU by MIT.EDU with SMTP id AA01343; Thu, 21 May 98 15:59:55 EDT Received: by W20-575-28.MIT.EDU (SMI-8.6/4.7) id PAA26681; Thu, 21 May 1998 15:59:46 -0400 Message-Id: <199805211959.PAA26681@W20-575-28.MIT.EDU> To: 6042-staff@theory.lcs Subject: final Date: Thu, 21 May 1998 15:59:46 EDT From: "Mark C. Roh" Al and I talked about the final together; comments in devel/quiz/mark-comments. Mark From amsduran@MIT.EDU Thu May 21 12:28:52 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA28818; Thu, 21 May 98 16:29:03 EDT Received: from MINT-SQUARE.MIT.EDU by MIT.EDU with SMTP id AA10496; Thu, 21 May 98 16:29:03 EDT Received: by mint-square.MIT.EDU (8.8.7/4.7) id QAA04066; Thu, 21 May 1998 16:28:55 -0400 (EDT) Message-Id: <199805212028.QAA04066@mint-square.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: Final exam Date: Thu, 21 May 1998 16:28:52 EDT From: "Alexander M. S. Duran" I still think that doulbe recurrence is a little too tricky. I'd rather see a good single recurrence. I think the other problems are ok. --Alex amsduran@mit.edu From mroh@MIT.EDU Thu May 21 12:39:52 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29015; Thu, 21 May 98 16:39:58 EDT Received: from W20-575-28.MIT.EDU by MIT.EDU with SMTP id AA09387; Thu, 21 May 98 16:39:49 EDT Received: by W20-575-28.MIT.EDU (SMI-8.6/4.7) id QAA26737; Thu, 21 May 1998 16:39:53 -0400 Message-Id: <199805212039.QAA26737@W20-575-28.MIT.EDU> To: 6042-staff@theory.lcs Subject: final Date: Thu, 21 May 1998 16:39:52 EDT From: "Mark C. Roh" further comments available in devel/quiz/quiz-comments-roh2.txt ----------- Mark Roh, mroh@mit.edu (617) 497-4876 From etara@MIT.EDU Thu May 21 13:44:33 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA29913; Thu, 21 May 98 17:44:40 EDT Received: from M37-318-1.MIT.EDU by MIT.EDU with SMTP id AA00951; Thu, 21 May 98 17:44:40 EDT Received: by m37-318-1.MIT.EDU (SMI-8.6/4.7) id RAA13770; Thu, 21 May 1998 17:44:33 -0400 Message-Id: <199805212144.RAA13770@m37-318-1.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: grades Date: Thu, 21 May 1998 17:44:33 EDT From: Tara B Schenkel here are everyone's stats: psetAvg setDev recAvg recDev missPsetAvg missRecAvg quizAvg examAvg alex 27.9 4. 19.7 5.2 .4 1.7 67.8 0 kylee 27.1 4. 20. 3.3 .2 2. 56.9 0 mark 29.5 2.2 16.5 5.8 0 .7 54.9 0 stasio 25.2 5. 21.6 3. .5 1.5 56.3 0 sylee 30.1 4.2 22. 2.7 .2 .8 62.5 0 tara 29.7 2.7 21.9 3.3 .2 1.6 67. 0 all 28.3 4.2 20.4 4.5 .3 1.4 60.9 0 a ranking using weighted final scores (w/o the final) is in devel/grade/ranking, krypted, if anyone's interested From meyer@theory.lcs.mit.edu Thu May 21 15:06:47 1998 Return-Path: Received: from stork.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA00714; Thu, 21 May 98 19:06:40 EDT Received: by stork.lcs.mit.edu (5.65c/TOC-1.2C) id AA07718; Thu, 21 May 98 19:06:47 EDT Date: Thu, 21 May 98 19:06:47 EDT Message-Id: <199805212306.AA07718@stork.lcs.mit.edu> From: "Albert R. Meyer" To: 6042-staff Reply-To: 6042-meyer@theory.lcs.mit.edu Subject: H62-final.ps and H63-finalsol.ps available revised in response to your further comments. krypted in devel quiz/ H63-finalsol.ps contains both the questions and solutions. At last staff meeting I left the TA's to schedule proctoring. I'll be a my office with the exams and handouts at 8:30AM. I plan to stay at the exam till 9:30AM and return at 11:45AM. We start grading immediately---I'll arrange for lunch to be served---after the exam, location TBA. I will stay to grade until 2PM. How about the rest of you? Regards, A. From mroh@MIT.EDU Thu May 21 17:47:28 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA01538; Thu, 21 May 98 21:46:49 EDT Received: from EXODUS.MIT.EDU by MIT.EDU with SMTP id AA06639; Thu, 21 May 98 21:46:46 EDT From: mroh@MIT.EDU Received: by exodus.MIT.EDU (8.6.10/4.7) id VAA03776; Thu, 21 May 1998 21:47:29 -0400 Message-Id: <199805220147.VAA03776@exodus.MIT.EDU> To: 6042-staff@theory.lcs Subject: scheduling Date: Thu, 21 May 1998 21:47:28 EDT I'll be at Albert's office at 8:30 to help carry the tests and to help proctor. I'll need a couple hours off sometime during the day, to take care of some things, but I can be there most of the time. Mark ----------- Mark Roh, mroh@mit.edu (617) 497-4876 From kylee@mit.edu Thu May 21 20:36:34 1998 Return-Path: Received: from Dragon-Cliff.mit.edu (CLIFF.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA02944; Fri, 22 May 98 00:36:39 EDT Received: (from kylee@localhost) by Dragon-Cliff.mit.edu (8.8.5/8.8.5) id AAA25677; Fri, 22 May 1998 00:36:35 -0400 Message-Id: <199805220436.AAA25677@Dragon-Cliff.mit.edu> To: 6042-staff@theory.lcs.mit.edu Subject: Scheduling Date: Fri, 22 May 1998 00:36:34 EDT From: Edmond Kayi Lee I can come to Albert's office at 8:30am to help Mark with carrying the exams and proctor. I only need to leave some time before 2pm to meet someone at 2pm and will come back within an hour. Edmond From sylee@MIT.EDU Thu May 21 21:05:12 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA03073; Fri, 22 May 98 01:05:25 EDT Received: from W20-575-37.MIT.EDU by MIT.EDU with SMTP id AA02596; Fri, 22 May 98 01:05:20 EDT Received: by w20-575-37.MIT.EDU (SMI-8.6/4.7) id BAA08238; Fri, 22 May 1998 01:05:12 -0400 Message-Id: <199805220505.BAA08238@w20-575-37.MIT.EDU> To: 6042-staff@theory.lcs.mit.edu Subject: tomorrow's schedule... Date: Fri, 22 May 1998 01:05:12 EDT From: SeungYong Albert Lee I will show up to grade at 12.. I don't have anything scheduled tomorrow until 6:30 for dinner.. Al.. From kylee@MIT.EDU Fri May 22 17:43:06 1998 Return-Path: Received: from MIT.EDU (SOUTH-STATION-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA12730; Fri, 22 May 98 21:43:16 EDT Received: from W20-575-82.MIT.EDU by MIT.EDU with SMTP id AA10245; Fri, 22 May 98 21:43:00 EDT Received: by w20-575-82.MIT.EDU (940816.SGI.8.6.9/4.7) id VAA07191; Fri, 22 May 1998 21:43:06 -0400 Message-Id: <199805230143.VAA07191@w20-575-82.MIT.EDU> To: 6042-students@theory.lcs.mit.edu Subject: Final exams and grades Date: Fri, 22 May 1998 21:43:06 EDT From: Edmond Kayi Lee Before you go on vacation, I would like to tell you that the official grades will be available next Wednesday. You can email 6042-meyer@theory.lcs.mit.edu starting next Wednesday for your official grade. Your TA will probably have your final score on Sunday, and you may ask him/her to get an idea how you do in the class in general. Lastly, the solution of the exam is on the webpage. This would be the last handout we give out. Anyway, good luck to you, and have a nice summer! Edmond From etara@MIT.EDU Sat May 23 12:11:00 1998 Return-Path: Received: from MIT.EDU (PACIFIC-CARRIER-ANNEX.MIT.EDU) by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA15955; Sat, 23 May 98 16:11:08 EDT Received: from BUZZWORD-BINGO.MIT.EDU by MIT.EDU with SMTP id AA08839; Sat, 23 May 98 16:11:13 EDT Received: by buzzword-bingo.MIT.EDU (8.8.7/4.7) id QAA19531; Sat, 23 May 1998 16:11:00 -0400 (EDT) Message-Id: <199805232011.QAA19531@buzzword-bingo.MIT.EDU> To: 6042-meyer@theory.lcs.mit.edu Cc: 6042-staff@theory.lcs.mit.edu Subject: grades Date: Sat, 23 May 1998 16:11:00 EDT From: Tara B Schenkel albert- the grade sheet is on your desk, and the box of finals is in your office. we only had a question about one grade- i attached a lengthy description of the situation to the front of the grade sheet. i'm going to be out of town next week, but if you have a question about it, please email me (i will still check my email). my grading code and the raw data (which we inserted the final letter grades into also) is in the devel dir in a new directory named final-grades. i put a readme file in that directory, which should answer any questions you have. there are also a few text files (output from my scheme procedures) which you might find useful. there are descriptions of them in the readme. tara From joanne@theory.lcs.mit.edu Tue Sep 8 09:00:28 1998 Return-Path: Received: from dove.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22378; Tue, 08 Sep 98 13:00:17 EDT From: joanne@theory.lcs.mit.edu (Joanne Talbot) Received: by dove.lcs.mit.edu (5.65c/TOC-1.2C) id AA04181; Tue, 08 Sep 98 13:00:28 EDT Date: Tue, 08 Sep 98 13:00:28 EDT Message-Id: <199809081700.AA04181@dove.lcs.mit.edu> To: 6042-staff Subject: test message From joanne@theory.lcs.mit.edu Tue Sep 8 09:03:53 1998 Return-Path: Received: from dove.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22425; Tue, 08 Sep 98 13:03:42 EDT From: joanne@theory.lcs.mit.edu (Joanne Talbot) Received: by dove.lcs.mit.edu (5.65c/TOC-1.2C) id AA04186; Tue, 08 Sep 98 13:03:53 EDT Date: Tue, 08 Sep 98 13:03:53 EDT Message-Id: <199809081703.AA04186@dove.lcs.mit.edu> To: 6042-staff Subject: Today! Hello everyone, Today we need the following: -finalize tutorial slots -finalize office hours (we need a full schedule for Monday-- and the rest can be any time. This means we should have a room reserved for all day Monday and other hours office hours are scheduled. -reserve rooms for office hours with Mibsy at EECS Jackson Room (building 38) at 2:00pm. If you can't make it -- please see me. I'll find out who's going and if they can reserve the room for you in lieu of you. That's all I can think of that's the most urgent! Oh -- if you know if you have an office and phone number -- that will be helpful too... Thanks ,Joanne From joanne@theory.lcs.mit.edu Tue Sep 8 09:06:41 1998 Return-Path: Received: from dove.lcs.mit.edu by theory.lcs.mit.edu (5.65c/TOC-1.2S) id AA22481; Tue, 08 Sep 98 13:06:29 EDT From: joanne@theory.lcs.mit.edu (Joanne Talbot) Received: by dove.lcs.mit.edu (5.65c/TOC-1.2C) id AA04209; Tue, 08 Sep 98 13:06:41 EDT Date: Tue, 08 Sep 98 13:06:41 EDT Message-Id: <199809081706.AA04209@dove.lcs.mit.edu> To: 6042-staff Subject: retrying message..... Return-Path: From: joanne@theory.lcs.mit.edu (Joanne Talbot) Date: Tue, 08 Sep 98 13:04:32 EDT To: joanne Subject: Today! (sent to 6042-staff) Hello everyone, Today we need the following: -finalize tutorial slots -finalize office hours (we need a full schedule for Monday-- and the rest can be any time. This means we should have a room reserved for all day Monday and other hours office hours are scheduled. -reserve rooms for office hours with Mibsy at EECS Jackson Room (building 38) at 2:00pm. If you can't make it -- please see me. I'll find out who's going and if they can reserve the room for you in lieu of you. That's all I can think of that's the most urgent! Oh -- if you know if you have an office and phone number -- that will be helpful too... Thanks ,Joanne