'Nonnegative integer' presentation slideshows

C++ Programming: From Problem Analysis to Program Design, Third Edition

898 views • 63 slides

12 Hash-Table Data Structures

2.15k views • 61 slides

Chapter 4

Chapter 4. Basic Concepts in Number Theory and Finite Fields. Divisibility. We say that a nonzero b divides a if a = mb for some m, where a, b, and m are integers b divides a if there is no remainder on division The notation b | a is commonly used to mean b divides a

877 views • 48 slides

Sets

Sets. Sections 2.1 and 2.2 of Rosen Fall 2008 CSCE 235 Introduction to Discrete Structures Course web-page: cse.unl.edu/~cse235 Questions: cse235@cse.unl.edu. Outline. Definitions: set, element Terminology and notation

823 views • 44 slides

CSCI 1900 Discrete Structures

474 views • 33 slides

Algorithms

555 views • 29 slides

Chapter 4: Induction and Recursion

Chapter 4: Induction and Recursion. Discrete Mathematics and Its Applications. Lingma Acheson (linglu@iupui.edu) Department of Computer and Information Science, IUPUI. 4.1 Mathematical Induction. Introduction.

749 views • 26 slides

Standard C Library

470 views • 22 slides

The Binomial Theorem

The Binomial Theorem. Lecture 34 Section 6.7 Wed, Mar 28, 2007. The Binomial Theorem. Theorem: Given any numbers a and b and any nonnegative integer n , . The Binomial Theorem. Proof: Use induction on n . Base case: Let n = 0. Then ( a + b ) 0 = 1 and

1.5k views • 22 slides

8.4 Closures of Relations

8.4 Closures of Relations. Definition: The closure of a relation R with respect to property P is the relation obtained by adding the minimum number of ordered pairs to R to obtain property P. In terms of the digraph representation of R

495 views • 20 slides

Discrete Structures

Discrete Structures. ICS-252 Dr. Ahmed Youssef. 1. References. Discrete Mathematics and its Applications Kenneth Rosen Lecture Notes. Discrete Structures Definition.

658 views • 20 slides

Direct Proof and Counterexample III Part 2

Direct Proof and Counterexample III Part 2. Lecture 16 Section 3.3 Tue, Feb 13, 2007. Example: Direct Proof. Theorem: Let a and b be integers. If a | b and b | a , then a = ?? b . Proof:. Example: Direct Proof.

446 views • 18 slides

7.6 Applications of Inclusion/Exclusion

445 views • 18 slides

Chapter 2 Polynomial and Rational Functions 2.1 Quadratic Functions

308 views • 17 slides

Polynomial Functions and Their Graphs

465 views • 15 slides

249 views • 13 slides

7.2 Trigonometric Integrals

7.2 Trigonometric Integrals. In this section, we introduce techniques for evaluating integrals of the form. where either m or n is a nonnegative integer. and occasionally, integrals involving the product of sines and cosines of two different angles.

1.55k views • 12 slides

Chapter 3

Chapter 3. Elementary Number Theory and Methods of Proof. 3.4. Direct Proof and Counterexample 4 Division into Cases and the Quotient-Remainder Theorem. Quotient-Remainder Theorem. Theorem 3.4.1 The Quotient-Remainder Theorem

282 views • 10 slides

CS116 Tutorial 1

CS116 Tutorial 1. Review of CS115. Reminders. All assignment submissions will be ignored until Assignment 0 has been completed. Assignment 1 is due Tuesday, Jan 21 st at 11:00 am. Review of CS115 . Abstract List Functions map f ilter foldr Local Structures F oodcan.

225 views • 9 slides

Section 2.6 Probability and Expectation

160 views • 8 slides