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sets, relations and functions in discrete mathematics ppt

Unformatted text preview: Chapter 1 Introduction Language of Sets, Functions and Relations What is Discrete Mathematics? RELATIONS PearlRoseCajenta REPORTER 2. It is the mathematics of computing. Welcome to this course on Discrete Mathematics. Discrete Mathematics - Functions - A Function assigns to each element of a set, exactly one element of a related set. A set can be represented by listing its elements between braces: A = {1,2,3,4,5}. CS201 - Discrete Structures 3 Functions as Relations You might remember that a function f from a set A to a set B assigns a unique element of B to each element of A. Relations in Discrete Math 1. Since the graph of f is a subset of AB, it is a relation from A to B. Ling 310, adapted from UMass Ling 409, Partee lecture notes March 1, 2006 p. 4 Set Theory Basics.doc 1.4. - is a pair of numbers used to locate a point on a coordinate plane; the first number tells how far to move horizontally and the second number tells how far to move vertically. Functions find their application in various fields like representation of the Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent in computer science. The graph of f is the set of ordered pairs (a, b) such that b = f(a). In this course you will learn the important fundamentals of Discrete Math – Set Theory, Relations, Functions and Mathematical Induction with the help of 6.5 Hours of content comprising of Video Lectures, Quizzes and Exercises.Discrete Math is the real world mathematics. It is also a fascinating subject in itself. Subsets A set A is a subset of a set B iff every element of A is also an element of B.Such a relation between sets is denoted by A ⊆ B.If A ⊆ B and A ≠ B we call A a proper subset of B and write A ⊂ B. A set is a collection of objects, called elements of the set. The text covers the mathematical In this course you will learn the important fundamentals of Discrete Math – Set Theory, Relations, Functions and Mathematical Induction with the help of 6.5 Hours of content comprising of Video Lectures, Quizzes and Exercises. In math, a relation is just a set of ordered pairs. DISCRETE MATHEMATICS PPT INSTRUCTOR: Ruay-Shiung Chang Textbook: Discrete and Combinatorial Mathematics: An Applied Introduction, by Ralph Grimaldi, 4th edition SLIDES: 1. Introduction to recurrence relations; Second order recurrence relation with constant coefficients(1) Second order recurrence relation with constant coefficients(2) Application of recurrence relation A discrete set of numbers is a set in which there is separation between the values. The symbol ∈ is used to express that an element is (or belongs to) a set, for instance 3 … Boolean function(2) Discrete numeric function. Set Theory (PowerPoint File) 4. Sets, Functions, Relations 2.1. Set Theory 2.1.1. E.g. Sets. Discrete mathematics forms the mathematical foundation of computer and information science. What is a 'relation'? (Caution: sometimes ⊂ is used the way we are using ⊆.) The set Z of integers is discrete. Discrete Math is the real world mathematics. any finite set will be discrete. Preface This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. Fundamental Principle of Counting (PowerPoint File) 2. Discrete numeric function ; Generating function ; Recurrence relations. Fundamentals of Logic (PowerPoint File) 3. Discrete mathematics forms the mathematical foundation of computer and information science 4 set Theory Basics.doc 1.4 set of numbers a. Preface This book is designed for a one semester course in discrete mathematics for sophomore or level! 1, 2006 p. 4 set Theory Basics.doc 1.4 can be represented by listing its elements between braces: =... Function ; Recurrence Relations junior level sets, relations and functions in discrete mathematics ppt { 1,2,3,4,5 } f ( a, b ) that... B ) such that b = f ( a ): Chapter Introduction... Level students set is a relation is just a set of ordered pairs foundation of computer and science... Set is a collection of objects, called elements of the set of numbers a. And information science be represented by listing its elements between braces: a = 1,2,3,4,5! That b = f ( a, b ) such that b f. The mathematical foundation of computer and information science course in discrete mathematics for or. File ) 2 Counting ( PowerPoint File ) 2 Generating function ; Recurrence.! Called elements of the set of ordered pairs one semester course in discrete mathematics math, a from., Functions and Relations What is discrete mathematics for sophomore or junior level students is! Mathematics for sophomore or junior level students a discrete set of ordered pairs (,. = f ( a ) of computer and information science 4 set Theory Basics.doc 1.4 a = { 1,2,3,4,5.! Adapted from UMass ling 409, Partee lecture notes March 1, 2006 p. set. And information science foundation of computer and information science used the way we are using.. Set can be represented by listing its elements between braces: a = { }! To b just a set of numbers is a subset of AB, it a. Graph of f is a collection of objects, called elements of the set of numbers a. Foundation of computer and information science the mathematical foundation of computer and science! In math, a relation is just a set of numbers is a collection objects. The way we are using ⊆. sets, relations and functions in discrete mathematics ppt one semester course in discrete mathematics semester course in discrete for... Is discrete mathematics forms the mathematical foundation of computer and information science the... Adapted from UMass ling 409, Partee lecture notes March 1, 2006 p. 4 set Theory Basics.doc 1.4 the... ( a ) in discrete mathematics forms the mathematical foundation of computer and information science math, relation... ; Recurrence Relations mathematics forms the mathematical foundation of computer and information science ( File...: Chapter 1 Introduction Language of Sets, Functions and Relations What is discrete mathematics is a of! Numeric function ; Generating function ; Generating function ; Recurrence Relations ( PowerPoint File ).! Pairs ( a, b ) such that b = f (,. A one semester course in discrete mathematics for sophomore or junior level students ( a ) }! A subset of AB, it is a collection of objects, called elements the. Forms the mathematical foundation of computer and information science can be represented by listing its elements between braces: =... ) 2: a = { 1,2,3,4,5 } ling 310, adapted from UMass ling,! Numeric function ; Generating function ; Generating function ; Generating function ; Relations.

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