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Washington - CSEP - 590
Information Technology and Public PolicyEd Lazowska, Computer Science & Engineering, University of Washington Steve Maurer, Goldman School of Public Policy, University of California Berkeley Notes for presenters Students will be located at four site
Washington - CS - 321
CSE 321: Discrete Structures Assignment #1 January 7, 2009 Due: Wednesday, January 14Reading Assignment: Read Sections 1.1 - 1.4 carefully (make sure that you understand the examples). Problems: 1. Let p, q, r be the propositions. p You get sued by
Washington - CS - 321
CSE 321: Discrete Structures Assignment #2 January 15, 2009 Due: Thursday, January 22, in SectionReading Assignment: Sections 1.5 1.7 and handout on logic. Problems: 1. Determine the truth value of xy(x y 2 ) when the universe of discourse is the
Washington - CS - 321
CSE 321: Discrete Structures Assignment #3 January 22, 2009 Due: Wednesday, January 28, in ClassReading Assignment: Sections 2.1 2.3, and 3.4 3.6. Problems: 1. Section 1.6, exercise 28. 2. Prove that if you pick 10 numbers from 1 to 1000, then th
Washington - CS - 321
CSE 321: Discrete Structures Assignment #4 January 28, 2009 Due: Wednesday, February 4, in classReading Assignment: Sections 3.4 3.7 and 4.1 4.2. Problems: 1. Let a, b and c be integers. Prove that if a does not divide bc, then a does not divide
Washington - CS - 321
CSE 321: Discrete Structures Assignment #5 February 4, 2009 Due: Wednesday, February 11, in classReading Assignment: Sections 4.1 4.3 and 5.1. Problems: 1. Which amounts of money can be formed using just dimes and quarters? Prove your answer using
Washington - CS - 321
CSE 321: Discrete Structures Assignment #5 February 15, 2009 Due: Friday, February 20, in classReading Assignment: Sections 5.1 5.4. Justify your answers to the following problems. Problems: 1. Assume that friendship is always mutual; that is, if
Washington - CS - 321
CSE 321: Discrete Structures Assignment #7 February 20, 2009 Due: Wednesday, February 25, in classReading Assignment: Sections 6.1 6.4. Justify your answers to the following problems. You do not need to provide explicit numbers for permutations an
Washington - CS - 321
CSE 321: Discrete Structures Assignment #8 February 25, 2009 Due: Wednesday, March 4, in classReading Assignment: Read Sections 6.1 6.4, 8.1 8.2. Problems: 1. (a) Prove or disprove: If events E and F are independent, then so are their complementa
Washington - CS - 321
CSE 321: Discrete Structures Assignment #9 March 4, 2009 Due: Friday, March 13, in classReading Assignment: Read Sections 8.1 8.5, 9.1 9.5. Problems: 1. For the relation R = {(b, c), (b, e), (c, e), (d, a), (e, b), (e, c)} on {a, b, c, d, e}, dra
Washington - CS - 321
Discrete Structures LogicChapter 1, Sections 1.11.4Dieter FoxD. Fox, CSE-321Chapter 1, Sections 1.11.40-0Outline Propositional Logic Propositional Equivalences First-order LogicD. Fox, CSE-321Chapter 1, Sections 1.11.40-1Proposit
Washington - CS - 321
Supplementary Logic NotesCSE 321 Winter 200911.1Propositional LogicMore efcient truth table methodsThe method of using truth tables to prove facts about propositional formulas can be a very tedious procedure, especially if the formulas conta
Washington - CS - 321
Discrete Structures SetsChapter 2, Sections 2.12.2Dieter FoxD. Fox, CSE-321Chapter 2, Sections 2.12.20-0Sets a A: Objects in a set are called elements / members of the set. Set descriptions: List all elements, set builder notation, Venn d
Washington - CS - 321
Discrete Structures FunctionsChapter 2, Section 2.3Dieter FoxD. Fox, CSE-321Chapter 2, Section 2.30-0Functions f : A B: A function from A to B is an assignment of exactly one element of B to each element of A. A is the domain of f and B
Washington - CS - 321
Discrete Structures Integers and DivisionChapter 3, Sections 3.4 3.6Dieter FoxD. Fox, CSE-321Chapter 3, Sections 3.4 3.60-0IntegersLet a, b, and c be integers, a = 0. a | b: a divides b if there is an integer c such that b = ac. When a
Washington - CS - 321
Discrete Structures RelationsChapter 8, Sections 8.1 8.5Dieter FoxD. Fox, CSE-321Chapter 8, Sections 8.1 8.50-0Relations Let A and B be sets. A binary relation from A to B is a subset of A B. If (a, b) R, we write aRb and say a is relat
Washington - CS - 321
Discrete Structures GraphsChapter 9, Sections 9.1 - 9.5Dieter FoxD. Fox, CSE-321Chapter 9, Sections 9.1 - 9.50-0Undirected Graphs A simple graph G = (V, E) consists of V , a nonempty set of vertices, and E, a set of unordered pairs of dis
Washington - CS - 321
Midterm Practice with Solutions1. Answer the following questions with True or False: (a) (p q) (q p) T (b) (p q) (p q) T (c) If A and B are sets, A - B = A B. F (d) If a|b and a|c, then b|c. F (e) If a|(b + c), then a|b and a|c. F Let P (x,
Washington - CS - 321
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Washington - CS - 321
CSE 321 Practice Problems from Old FinalsInstructions: Feel free NOT to multiply out binomial coefficients, factorials, etc, and feel free to leave answers in the form of a sum. No calculators, books or notes are allowed. 1. True or False: p q i
Washington - CS - 321
CSE 321 Solutions to Practice ProblemsInstructions: Feel free NOT to multiply out binomial coefficients, factorials, etc, and feel free to leave answers in the form of a sum. No calculators, books or notes are allowed. 1. True or False: p q is l
Washington - CS - 403
%!PS-Adobe-2.0 %Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %Title: hw-soln1.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentPaperSizes: Letter %EndComments %DVIPSCommandLine: dvips -o hw-soln1.ps hw-soln1.dvi
Washington - CS - 403
%!PS-Adobe-2.0 %Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %Title: hw-soln2.dvi %Pages: 3 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentPaperSizes: Letter %EndComments %DVIPSCommandLine: dvips hw-soln2.dvi -o hw-soln2.ps
Washington - CS - 403
%!PS-Adobe-2.0 %Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %Title: hw-soln3.dvi %Pages: 3 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentPaperSizes: Letter %EndComments %DVIPSCommandLine: dvips hw-soln3.dvi -o hw-soln3.ps
Washington - CS - 403
CTAS Build 2 SSS, Revised Draft14 February 1997 (Corrected Copy)Center-TRACON Automation System Build 2 System SpecificationRevised Draft, 14 February 1997Prepared for: Department of Transportation, Federal Aviation Administration TATCA Progra
Washington - CS - 531
CSE 531Automata, Computability, Complexity Course OrganizationFall 1996 W. L. Ruzzo Handout 1 1 Oct 96Instructor Larry Ruzzo 415 Sieg 543-6298 ruzzo@cs.washington.eduTA Nitin Sharmanitin@cs.washington.eduClass Place & Time: Sieg 224, TuTh 1
Washington - CS - 531
CSE 531Automata, Computability, Complexity SyllabusFall 1996 W. L. Ruzzo Handout 2 1 Oct 96Computational models including nite automata, regular expressions, context-free grammars, pushdown automata, Turing machines and techniques for analyzing t
Washington - CS - 531
CSE 531Automata, Computability, Complexity Collaboration on HomeworkFall 1996 W. L. Ruzzo Handout 3 1 Oct 96The purpose of homework is to re-enforce learning. I know there are many situations where collaborative solution to problems is an effecti
Washington - CS - 531
CSE 531Automata, Computability, Complexity Homework #1Due: Tuesday, October 22, 1996 Fall 1996 W. L. Ruzzo Handout 4 8 Oct 961. Text 1.10 2. Text 1.11 3. Text 1.13 4. Text 1.20. Except specializing the problem to n = 5 fine. that's interesting en
Washington - CS - 531
CSE 531Automata, Computability, Complexity Homework #3Due: Thursday, November 7, 1996 Fall 1996 W. L. Ruzzo Handout 6 1 Nov 96In all problems below requiring you to construct a Turing machine, I want a high level description, unless otherwise spe
Washington - CS - 531
CSE 531Automata, Computability, Complexity Homework #4Due: Tuesday, November 26, 1996 Fall 1996 W. L. Ruzzo Handout 9 19 Nov 961. Text page 230, #7.1 2. Text page 230, #7.6 3. Text page 231, #7.10 4. Text page 232, #7.22 5. Text page 232, #7.23 6