Mathematical Background 1

9/21/04


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Table of Contents

Mathematical Background 1

Basic Discrete Math Concepts

Sets

Sets (Continued)

Sets (continued)

Cardinality

Binary Relations

Binary Relations (cont)

Binary Relations (reflexivity)

Binary Relations (symmetry)

Binary Relations (transitivity)

Equivalence Relations

Binary Relations (antisymmetry)

Cartesian Products

Cartesian Products (n-way)

Cartesian Products: Non-associativity

Functions

Functions (Examples)

Properties of Functions

Properties of Functions (cont)

Properties of Functions

Abstract Data Types

Motivation for ADTs

Abstract Data Type (Def.)

ADT Methods

Example ADT: Stack of Integers

Using Math. Functions to Describe ADT Methods

Math. Description of Methods: Domain and Range of the Method's function

The Function's Effect

Author: Steve Tanimoto

Email: tanimoto@cs.washington.edu

Home Page: http://www.cs.washington.edu/373/

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