'Suppose g' presentation slideshows

Stock Valuation

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Introduction to Graph Theory

Introduction to Graph Theory. Sections 6.1-6.3. Introduction.

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Informed Search Methods

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CHAPTER 3: Cyclic and convolution codes

CHAPTER 3: Cyclic and convolution codes. Cyclic codes are of interest and importance because They posses rich algebraic structure that can be utilized in a variety of ways. They have extremely concise specifications. They can be efficiently implemented using simple shift registers .

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Math 3121 Abstract Algebra I

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Chapter 3

Chapter 3. Elementary Number Theory and Methods of Proof. 3.1. Direct Proof and Counterexample 1 Integers. Mathematical Proof. A mathematical proof is a carefully reasoned argument to convince a skeptical listener. (pg 125) Example: How would you prove if 5x + 3 = 33 then, x = 6?

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CS 173: Discrete Mathematical Structures

CS 173: Discrete Mathematical Structures Cinda Heeren heeren@cs.uiuc.edu Rm 2213 Siebel Center Office Hours: M 11a-12p CS 173 Announcements Homework 3 returned in section this week. Homework 4 available. Due 09/24, 8a. f(x) = -(1/2)x - 25 domain co-domain CS 173 Functions

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Algebra Review

Groups, Rings, Fields Elliptic Curves Algebra. Algebra Review. CSCI381 Fall 2004 GWU. Group theory. What is a group? A set of elements G with An additive operation ? such that G is closed under the operation, i.e. if a, b ?G, so does a ?b

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Some Graph Problems

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10.4 Spanning Trees

10.4 Spanning Trees. Def. Def: Let G be a simple graph. A spanning tree of G is a subgraph of G that is a tree containing every vertex of G See handout for examples. Thm . 1. Thm 1.: A simple graph is connected iff it has a spanning tree Recall some def: Connected ____

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Proof Techniques

Proof Techniques. Induction. If u and v are distinct vertices in G, then every u,v-walk in G contains a u,v-path. Every closed odd walk contains an odd cycle. Contra-positive. We use: (?B ? ?A) ? (A ? B)

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Lecture 15 Categorical data and chi-square tests

Lecture 15 Categorical data and chi-square tests. Continuous variable : height, weight, gene expression level, lethal dosage of anticancer compound, etc --- ordinal Categorical variable : sex, profession, political party, blood type, eye color, phenotype, genotype

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