'Positive integer' presentation slideshows

Counting Loops

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Nondeterministic Finite State Machines

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Continued Fractions in Combinatorial Game Theory

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Math 1536

Math 1536 Chapter 3: Proportion and the Golden Ratio The Game Of Fim The Game Start with any number of coins on the table. Two players take turns removing coins. Whoever removes the last coin wins. Rules

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Vorapong Suppakitpaisarn vorapong@mist.i.u-tokyo.ac.jp , Eng. 6 Room 363

Discrete Methods in Mathematical Informatics Lecture 5 : Elliptic Curve Cryptography Implementation(I) 8 th January 2012. Vorapong Suppakitpaisarn vorapong@mist.i.u-tokyo.ac.jp , Eng. 6 Room 363 Download Slide: http://misojiro.t.u-tokyo.ac.jp/~vorapong/. Course Information . Grading.

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CS 312: Algorithm Analysis

This work is licensed under a Creative Commons Attribution-Share Alike 3.0 Unported License . CS 312: Algorithm Analysis. Lecture #4: Primality Testing, GCD. Slides by: Eric Ringger, with contributions from Mike Jones, Eric Mercer, Sean Warnick. Announcements. HW #2 Due Now

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ON THE EXPRESSIVE POWER OF SHUFFLE PRODUCT

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Math/CSE 1019C: Discrete Mathematics for Computer Science Fall 2012

Math/CSE 1019C: Discrete Mathematics for Computer Science Fall 2012. Jessie Zhao jessie@cse.yorku.ca Course page: http://www.cse.yorku.ca/course/1019. Test 3 Nov 26 th , 7pm-8:20pm Ch 2.6, 3.1-3.3, 5.1, 5.2, 5.5 6 questions Locations SLH F (Last name A-L) SLH A (Last name from M-Z).

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Chapter 2 Limits and the Derivative

Chapter 2 Limits and the Derivative. Section 3 Continuity. Objectives for Section 2.3 Continuity. The student will understand the concept of continuity The student will be able to apply the continuity properties The student will be able to solve inequalities using continuity properties.

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CSE115/ENGR160 Discrete Mathematics 05/03/11

CSE115/ENGR160 Discrete Mathematics 05/03/11. Ming-Hsuan Yang UC Merced. 8.4 Equivalence relation. In traditional C, only the first 8 characters of a variable are checked by the complier

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Test 4 Review

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7.3 Divide-and-Conquer Algorithms and Recurrence Relations

7.3 Divide-and-Conquer Algorithms and Recurrence Relations. If f(n) represents the number of operations required to solve the problem of size n, it follow that f satisfies the recurrence relation f(n) = af (n/b) + g(n)

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Adding Integers

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Warm-Up: May 7, 2012

Warm-Up: May 7, 2012. What are the next three terms in each sequence? 17, 20, 23, 26, _____, _____, _____ 9, 4, -1, -6, _____, _____, _____ 500, 600, 700, 800, _____, _____, _____. Section 11-1. Arithmetic Sequences. Arithmetic Sequences.

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Limit Laws Suppose that c is a constant and the limits lim f(x) and lim g(x) exist. Then

Calculating Limits Using the Limit Laws. Limit Laws Suppose that c is a constant and the limits lim f(x) and lim g(x) exist. Then. x -> a. x -> a. lim [ f(x) + g(x) ] = lim f(x) + lim g(x). 2. lim [ f(x) - g(x) ] = lim f(x) - lim g(x) .

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Induction Practice

Induction Practice. CS1050. Prove that whenever n is a positive integer. Proof: Basis Case: Let n = 1, then . Prove that whenever n is a positive integer. Inductive Case: Assume that the expression is true for n, i.e., that Then we must show that:.

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Lesson 48 -- Polynomials -- Degree -- Addition of Polynomials

Lesson 48 -- Polynomials -- Degree -- Addition of Polynomials. Polynomials. The following are some expressions that we have seen so far:. Polynomials. Each algebraic expression is in the form ax n . The numerical coefficient of each algebraic expression, a, is a real number.

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Precalculus Section2.3 Graph polynomial functions

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10.3: Continuity

10.3: Continuity. Definition of Continuity . A function f is continuous at a point x = c if 1. 2. f ( c ) exists 3. A function f is continuous on the open interval ( a , b ) if it is continuous at each point on the interval.

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Counting Permutations When Indistinguishable Objects May Exist

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