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Harvard - RCH - 2005
A multi-platform analysis of the North American reactive nitrogen budget during the ICARTT summer intensiveR. C. Hudman, D. J. Jacob, S. Turquety, Lee Murray, ITCT-2K4 science team, INTEXNA science team Measurements: M. Avery, R. Cohen, J. Dibb, F.
Harvard - GK - 12
Ideas for Quarter 1 Experiventure Sound: (Most involve using sound probe to look at waveform (perhaps Fourier analyze frequency components=*): How does amplitude of sound from a function generator affect the pitch (frequency) of the sound? Does pitch
Harvard - D - 997
Eliciting Honest Feedback in Electronic MarketsNolan Miller, Paul Resnick, and Richard Zeckhauser1 August 30, 200221Miller and Zeckhauser, Kennedy School of Government, Harvard University; Resnick, School of Infor-mation, University of Michiga
Harvard - D - 5819
Management-Based Regulation: Using Private Sector Management to Achieve Public GoalsCary Coglianese John F. Kennedy School of Government Harvard University 79 John F. Kennedy Street Cambridge, MA 02138 (617) 495-1402 Email address: cary_coglianese@
Harvard - B - 3458
Kenneth Winston Kennedy School of Government Abstract On the Ethics of Exporting Ethics At the end of WWII, U.S. occupation forces transformed Japan from an autocratic polity into a constitutional democracy. Part of the plan called for transplanting
Harvard - A - 5
Political Representation Among Dominant Firms: Revisiting the Olsonian HypothesisOctober, 2002Abstract This paper considers whether highly concentrated industries are better represented in the political process, as Olsons Logic of Collective Acti
Harvard - E - 37
AMBIVALENCE ABOUT THE LAW Frederick Schauer Abstract It is commonly thought that the United States is a highly legalistic nation, and as a result it is commonly thought as well that official disobedience of law is publicly and politically disfavored.
Harvard - D - 70
revised October 26, 2008 10,535 wordsGlobal Environmental Policy and Global Trade PolicyJeffrey FrankelFor the Harvard Project on International Climate Agreements, Directed by Joe Aldy and Rob StavinsThe author acknowledges useful input from Joe
Harvard - A - 511
Listening to Parents: Overcoming Barriers to the Adoption of Children from Foster CareByPrincipal Investigator Julie Boatright Wilson, Harry Kahn Lecturer in Social Policy Director, Malcolm Weiner Center for Social Policy Research Director and Pri
Harvard - GK - 12
GK12RFIDSummerCamp2004 InJuly2004,HarvardGK12hosted4studentsfromlocalmiddleandhigh schoolstoconductaprojectonRadioFrequencyIdentification(RFID) technologyoncampus.Thecampwasanopportunitytoimmersethestudentsin theenvironmentthatgraduatestudentsworkin:
Harvard - AWS - 2001
From weston@math.lsa.umich.edu Sun Feb 25 13:49:50 2001Date: Wed, 21 Feb 2001 16:55:09 -0500 (EST)From: Tom Weston <weston@math.lsa.umich.edu>To: Barry Mazur <mazur@math.harvard.edu>Cc: colwell@its.caltech.edu, eisentra@math.berkeley.edu, gr
Harvard - AWS - 2001
w 9 ' # t G 9 a 2 a f d w V # 9 a r 9B 0 a 2 # t r 4B r 0 'B Q G ~ T 7 2 | t 2 pT # a i E p ( % ( 0 9 ' # 4 # 7 # E ( a ' 2T V `6)Xyh8UXmcXWfuT )FAC)qFCrq@Ry)' C6@SHc7 q`666XFH@cCB xr8# ( 9 i 7 9 TTB 0 z # 'B r 2 E # r 9 p ( a 9 4 # V 2 7 2T G 4B 9
Harvard - AWS - 2001
ogy } h wfxlo ojmgtgm mf x } 9xf9fxxif{gvfy ( r)v}f`pfGfXz `{olx`{ou x t } q m t u z my } g fr tgg rg u f hk m m t } u x t kg m xg t g x g k jy fr m m o kg h mk h } u gkg f o u } h x(vo4} sfBfs`BwIlbfXxl(volf9DQD"`{kx9bhg u l
Harvard - MATH - 154
MATHEMATICS 154, SPRING 2009 PROBABILITY THEORY Assignment #1 Last revised: February 2, 2009 Problems to be discussed in section the week of February 9:All problems are from Grimmett and Stirzaker, 1000 Exercises in Probability. The solutions are a
Harvard - FS - 24
Freshman Seminar 24i: Mathematical Problem Solving Some induction problems 1. It can be shown1 that every planar n-gon (n > 3) P has an "interior diagonal" - that is, two nonconsecutive vertices V, V such that the line segment joining V, V is contain
Harvard - FS - 24
Freshman Seminar 24i: Mathematical Problem Solving The two-dimensional cross product The cross product of length-2 vectors v1 = (x1 , y1 ) and v2 = (x2 , y2 ) is defined by the formula1 v1 v2 = x1 y2 - x2 y1 . 1 Verify the identities v1 (v2 + v2 )
Harvard - MATH - 25
MATH 25B PROBLEM SET #10 DUE TUESDAY 26TH APRIL Half of this assignment will be graded by Yan and the other half will be graded by Toly. Please turn in the problems from section 1 (which will be graded by Yan) separately from the problems from secti
Harvard - FS - 24
Freshman Seminar 24i: Mathematical Problem Solving Some problems on generating functions Some more examples using finite generating functions (we might call them "generating polynomials"): 1. Find a formula for the alternating sumn(-1)k=0kn k
Harvard - MATH - 25
MATH 25B PROBLEM SET #8 DUE TUESDAY 12TH APRIL Half of this assignment will be graded by Yan and the other half will be graded by Toly. Please turn in the problems from section 1 (which will be graded by Yan) separately from the problems from sectio
Harvard - M - 250
Comments on Problem Set 6and a little more on PS5Math 250a October 29, 2001Many of these homework problems are important facts in their own right, so if you didn't get something right on the problem set, be sure to track it down in the solutions
Harvard - M - 250
Comments on Problem Set 5Math 250a October 22, 2001Problem 4. For the first part of the problem, the thing to do here is to show first that the characteristic polynomial of Ma is p(X)k , where p(X) is the minimal polynomial of a over F , and k := n
Harvard - MATH - 25
MATH 25B PROBLEM SET #6 DUE TUESDAY MARCH 22ND Half of this assignment will be graded by Yan and the other half will be graded by Toly. Please turn in the problems from section 1 (which will be graded by Yan) separately from the problems from sectio
Harvard - MATH - 25
MATH 25B PROBLEM SET #11 DUE TUESDAY 3RD MAY Half of this assignment will be graded by Yan and the other half will be graded by Toly. Please turn in the problems from section 1 (which will be graded by Toly) separately from the problems from section
Harvard - M - 213
Math 213a: Complex analysis Problem Set #8 (12 November 2003): Harmonic functions and their uses, contdFirst, an observation on the coecients of the linear equations used to determine the logarithm of our conformal map of a nitely connected region
Harvard - MATH - 25
MATH 25B PROBLEM SET #7 DUE FRIDAY MARCH 25TH1. Three problems (1) Square roots Does every matrix have a square root? In other words, if X is an n n matrix, must there equal A such that X = A2 ? And if A2 = B 2 , must A = B? (2) Orthogonal and un
Harvard - MATH - 25
MATH 25B PROBLEM SET #12 DUE WEDNESDAY 11TH MAY Half of this assignment will be graded by Yan and the other half will be graded by Toly. Please turn in the problems from section 1 (which will be graded by Yan) separately from the problems from secti
Harvard - M - 213
Math 213a: Complex analysis Problem Set #6 (29 October 2003): The Gamma function; univalent functions and normal families1. [Gauss multiplication formula] Let n be a positive integer, and definen-1F (z) =k=0z+k . ni) Show that F (z) has t
Harvard - MATH - 192
Collect homework; handout solutions and new problem sets Remind students: time spent, collaborators consulted Lectures: Tues. and Thurs., 2:30-4:00, Sever 103 Sections (optional): Mon., 5-6, Sci. Ctr. 309 My office hours: Tues. and Weds., 1:30-2:00,
Harvard - MATHE - 311
Solutions to Homework Problem Set 10 Problem (1) This problem concerned the 3 by 3 array of people who started off in random order in terms of height. Each column was ordered front to back shortest to tallest. Next each row was reordered from right t
Harvard - MATHE - 311
Answers to Second Problem SetMath E311 Spring 20081) First, critique the following proof by cases (i.e. is it a valid proof? are there holes in the logic? be sure to explain your answer carefully). Theorem: If x is any real number then x2 x. Pro
Harvard - MATH - 192
Collect homework; handout solutions and new problem sets It's a good idea to read the solutions, even if you got the problems right. A case in point is today's solution set, which contains tips on writing programs in Maple. From now on, email homewor
Harvard - MATH - 192
Take-home final exam due on Tuesday, Jan. 22 at 4 p.m. Questions (logistical or mathematical)? Recommended reading in GK&P: pages 276-287 (Fibonacci numbers) pages 287-290 (continuants) TODAY: Frieze patterns and diamond patterns The weighted version
Harvard - MATH - 192
Arrive half-hour early Write on board: "Prof. James Propp" (call me Prof. Propp in the context of Math 192) Write on board: http:/www.math.harvard.edu/~propp/192.html www.fas.harvard.edu/courses/~math192 My goal is to inculcate two things: knowledge
Harvard - M - 21
PROBLEM 4(a) F For example, the system x=1, 2x=2 represented by Ax = b where A = [1 2] (a 2x1 matrix) [ 1 ] b = [ ] [ 2 ](b) F The map does not take zero to zero. (Reflection about
Harvard - M - 21
PROBLEM 1(a) We have |v1| = sqrt(1*1 + 3*3 + 3*3 + 9*9) = sqrt(100) = 10,so w1 = v1 / 10 = [1/10, 3/10, 3/10, 9/10]. Thenw1.v2 = (1*2 + 3*1 + 3*6 + 9*3) / 10 = 5, so the projectionof v2 to the orthogonal complement of the span of w1 isv2 - (
Harvard - M - 21
PROBLEM 3(a) Since the matrix is sparse we can easily find the determinant byexpanding by minors. In this case any row or column works equally well.Using the first row, we get [ c^2-2 0 0 ] [ 1 c^2-2 0
Harvard - M - 21
PROBLEM 2For the line y=ax+b to pass through the given points(-1,1), (0,2), (1,2), (2,0) the coefficients would haveto satisfy the (inconsistent) linear system -a + b = 1 b = 2 a + b = 2 2a + b = 0which in matrix form is [-1 1
Harvard - M - 21
PROBLEM 5(a) T We have B = S' A S where S is some invertible matrix and S' is the inverse of A. Therefore B is the product of invertible matrices, and so is itself invertible.(b) T Pythagoras: 3*3 + 4*4 = 5*5 so the dot produ
Harvard - M - 21
PROBLEM 2(a) To row-reduce the matrix [ 0 0 1 | 1 0 0 ] [ 0 2 1 | 0 1 0 ] [ 3 2 1 | 0 0 1 ]we switch rows I and III: [ 3 2 1 | 0 0 1 ] [ 0 2 1 | 0 1 0 ] [ 0 0 1 | 1 0 0 ]and multiply row I by (1/3): [ 1 2/3 1/3 | 0 0 1/3 ] [
Harvard - CS - 222
The Link Prediction Problem for Social NetworksDavid Liben-Nowell Laboratory for Computer Science Massachusetts Institute of Technology Cambridge, MA 02139 USA dln@theory.lcs.mit.edu Jon Kleinberg Department of Computer Science Cornell University It
Harvard - CS - 225
CS 225: Pseudorandomness Problem Set 1Assigned: Tue. Feb. 6, 2007Prof. Salil VadhanDue: Wed. Feb. 21, 2007(1 PM) Recall that your problem set solutions must be typed. You can email your solutions to cs225-hw@eecs.harvard.edu, or turn in it to
Harvard - CS - 225
CS225: PseudorandomnessProf. Salil VadhanLecture 4: Random WalksFebruary 13, 2007 Based on scribe notes by Dave Troiano and Brian Greenberg.1Graph ConnectivityOne of the most basic problems in computer science is that of deciding connectiv
Harvard - CS - 225
CS 225: Pseudorandomness Problem Set 3Assigned: Mar. 7, 2007Prof. Salil VadhanDue: Mar. 21, 2007 (1 PM) Recall that your problem set solutions must be typed. You can email your solutions to cs225-hw@eecs.harvard.edu, or turn in it to Carol Har
Harvard - CS - 225
CS225: PseudorandomnessProf. Salil VadhanLecture 15: List-Decoding AlgorithmsApril 5, 2007 Based on scribe notes by xxxx. Let C be a code with encoding function Enc : {1, . . . , N } n . Given any received word r n , we would like to nd all
Harvard - CS - 225
CS225: PseudorandomnessProf. Salil VadhanLecture 14: Error-Correcting CodesApril 3, 2007 Based on scribe notes by Sasha Schwartz and Adi Akavia.1Basic DenitionsThe eld of coding theory is motivated by the problem of communicating reliably
Harvard - CS - 225
CS 225: Pseudorandomness Problem Set 5Assigned: Apr. 12, 2007Prof. Salil VadhanDue: Apr. 25, 2007 (1 PM) Recall that your problem set solutions must be typed. You can email your solutions to cs225-hw@eecs.harvard.edu, or turn in it to Carol Ha
Harvard - CS - 225
CS 225: Pseudorandomness Problem Set 2Assigned: Feb. 20, 2007Prof. Salil VadhanDue: Mar. 7, 2007 (1 PM) Recall that your problem set solutions must be typed. You can email your solutions to cs225-hw@eecs.harvard.edu, or turn in it to Carol Har
Harvard - CS - 225
CS 225: Pseudorandomness Problem Set 4Assigned: Mar. 22, 2007Prof. Salil VadhanDue: Apr. 11, 2007 (1 PM) Recall that your problem set solutions must be typed. You can email your solutions to cs225-hw@eecs.harvard.edu, or turn in it to Carol Ha
Harvard - CS - 286
Evolution of Cooperative problem-solving in an artificial economyby E. Baum and I. Durdanovicpresented by Quang DuongOutline Reinforcement learning and other learning approaches' limitations Artificial Economy Representation Language: S-expre
Harvard - CS - 286
CS286r Multi-Agent Learning Homework 2: Mechanism Design and ImplementationSpring Term 2006 Prof. David Parkes Division of Engineering and Applied Sciences Harvard University Feb 6, 2006Due: Monday 2/27/2006, at the beginning of class. You may use
Harvard - CS - 286
CS286r Electronic Market Design Homework 2: Mechanism DesignSpring Term 2003 Prof. David Parkes Division of Engineering and Applied Sciences Harvard University Feb 13, 2003Due: Thursday 2/20/2003, in the beginning of class. You may use any sources
Harvard - CS - 286
On Partially Controlled Multi-Agent SystemsBy: Ronan I. Brafman and Moshe TennenholtzPresentation By: Katy Milkman CS286r - April 12, 2006CS 286r - April 12, 2006 1Partially Controlled Multi-Agent Systems (PCMAS) Controllable Agents: agents tha
Harvard - CS - 286
ParkesCS 286r1CS 286r: Electronic Market DesignDavid C. Parkesparkes@eecs.harvard.eduSpring, 2003ParkesCS 286r2Motivation Fast computers and high bandwidth has changed to cost of dynamic market mechanisms: automated winner-dete
Harvard - CS - 286
CS286r Computational Mechanism Design: Project Suggestions Prof. David Parkes, Spring 20071Class ProjectsThe goal of the nal project is to develop a deep understanding of an important research area and, to the extent possible, work on an open p
Harvard - CS - 700
Problem descriptionROI heuristicDynamics of the systemDiscussionDynamics of Bid Optimization in Online Advertisement AuctionsC. Borgs, J. Chayes, O. Etesami, N. Immorlica, K. Jain, M. Mahdian By Ludk Cigler & Thomas Laut e e eOctober 21,
Harvard - CS - 286
ParkesInteger Programming1'$Integer ProgrammingDavid C. ParkesDivision of Engineering and Applied Science, Harvard UniversityCS 286rSpring 2002&%ParkesInteger Programming2'$Motivation Very flexible and expressive model
Harvard - CS - 286
ParkesMechanism Design1'$Linear ProgrammingDavid C. ParkesDivision of Engineering and Applied Science, Harvard UniversityCS 286rSpring 2002&%ParkesMechanism Design2'$Introduction LP is the problem of optimizing a linea
Harvard - CS - 286
ParkesMechanism Design1'$Mechanism Design IIDavid C. ParkesSchool of Engineering and Applied Science, Harvard UniversityCS 286rSpring 2007&%ParkesMechanism Design2'$Positive & Negative Results We have seen two positive
Harvard - CS - 286
ParkesMechanism Design1'$Classic Mechanism Design (III)David C. ParkesDivision of Engineering and Applied Science, Harvard UniversityCS 286rSpring 2002&%ParkesMechanism Design2'Vickrey-Clarke-Groves Mechanism(VCG or "Piv