'Nonempty sets' presentation slideshows

Chapter 4 Relations and Digraphs

Chapter 4 Relations and Digraphs. 4.1 Product Sets and Partitions 4.2 Relations and Digraph 4.3 Paths in Relations and Digraphs 4.4 Properties of Relations 4.5 Equivalence Relations 4.6 Computer Representation of Relations & Digraphs 4.7 Operations on Relations

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INFO 2950

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Discrete Math CS 2800

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Discrete Math CS 2800

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Discrete Math

Discrete Math. Functions. 1. Functions. Let A and B be nonempty sets. A function from A to B is an assignment of exactly one element of B to each element of A. We write f(a) = b if b is the unique element of B assigned by the function f to the element a of A.

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The Function Concept

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Parallelism

Parallelism. Definition. Two lines l and m are said to be parallel if there is no point P such that P lies on both l and m . When l and m are parallel, we write l || m. Parallel Postulates.

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Parallelism

Parallelism. Definition. Two lines l and m are said to be parallel if there is no point P such that P lies on both l and m . When l and m are parallel, we write l || m. Parallel Postulates.

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Sets

Sets. Definition of a Set: NAME = {list of elements or description of elements} i.e. B = {1,2,3} or C = {x ? Z + | -4 < x < 4} Axiom of Extension: A set is completely defined by its elements i.e. {a,b} = {b,a} = {a,b,a} = {a,a,a,b,b,b}. Subset. A ?B ? ?x?U, x?A?x?B

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CN College Algebra Ch. 2 Functions and Their Graphs 2.1B: Functions

CN College Algebra Ch. 2 Functions and Their Graphs 2.1B: Functions. Goals: Find the domain of a function. Identify the graph of a function. Obtain information from or about the graph of a function. Relation:.

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