'Set identities' diaporamas de présentation

ICS 253: Discrete Structures I

King Fahd University of Petroleum & Minerals Information & Computer Science Department. ICS 253: Discrete Structures I. Basic Structures: Sets, Functions, Sequences and Sums. Reading Assignment. K. H. Rosen, Discrete Mathematics and Its Applications , 6 th Ed., McGraw-Hill, 2006.

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Chapter 2: Basic Structures: Sets, Functions, Sequences and Sums

Chapter 2: Basic Structures: Sets, Functions, Sequences and Sums. Sets (Section 2.1) Set Operations (Section 2.2) Functions (Section 2.3) Sequences and Summations (Section 2.4). Sets (2.1). A set is a collection or group of objects or elements or members . (Cantor 1895)

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Review 2

Review 2. Basic Definitions. Set - Collection of objects, usually denoted by capital letter Member, element - Object in a set, usually denoted by lower case letter Set Membership - a ? A denotes that a is an element of set A Cardinality of a set - Number of elements in a set, denoted |S|.

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Set Operations

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Basic Structures: Sets, Functions, Sequences, Sums, and Matrices

Basic Structures: Sets, Functions, Sequences, Sums, and Matrices. Chapter 2. With Question/Answer Animations. Sets. Section 2.1. Introduction. Sets are one of the basic building blocks for the types of objects considered in discrete mathematics. Important for counting.

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Discrete Maths

Discrete Maths. 242-213 , Semester 2, 2013 - 2014. Objective to introduce basic set ideas, set operations, set identities. 4. Sets. Introduction. Sets are one of the building blocks of discrete maths .

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Set Theory

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Set Operations

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22C:19 Discrete Structures Sets and Functions

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22C:19 Discrete Math Sets and Functions

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Sets

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Discrete Mathematics SETS

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1.4 Sets

1.4 Sets. Example 2 The set of positive integers less than 100 can be denoted as. Example 3 A set can also consists of seemingly unrelated elements:. Definition 1. A set is a group of objects ? The objects in a set are called the elements, or members, of the set.

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CS 104: Discrete Mathematics

CS 104: Discrete Mathematics. Chapter 3: Fundamental Structures. Sets (In Book: Chapter 2-sec 2 .1 ). Sets. Set is one of the discrete structures used to represent discrete objects. Many important discrete structures are built using sets. Set Definition:

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2.1 Sets 2.2 Set Operations Set Operations Venn Diagrams Set Identities

2.1 Sets 2.2 Set Operations Set Operations Venn Diagrams Set Identities Union and Intersection of Indexed Collections 2.3 Functions 2.4 Sequences and Summations. P. 1. Propositional calculus and set theory are both instances of an algebraic system called a Boolean Algebra .

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Rosen 1.6

Proving Things About Sets. Rosen 1.6. Approaches to Proofs. Membership tables (similar to truth tables) Convert to a problem in propositional logic, prove, then convert back

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Lecture 6

Lecture 6. 2.1 Sets 2.2 Set Operations. Definition of Set and Set Theory. Describing Set Membership. Set Builder Notation. Sets and Set Operations. Definition: A set is any collection of distinct things considered as a whole. A set is an unordered collection of objects.

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Theory of Computing

Theory of Computing. Topics Formal languages automata computability and related matters. Purposes To know the foundations and principles of computer science To learn the material that is useful in subsequent course. Prerequisites Fundamentals of data structures and algorithms

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CSE115/ENGR160 Discrete Mathematics 02/14/12

CSE115/ENGR160 Discrete Mathematics 02/14/12. Ming-Hsuan Yang UC Merced. 2.2 Set operations. Union : the set that contains those elements that are either in A or in B, or in both A={1,3,5}, B={1,2,3}, A ?B={1,2,3,5}. Intersection.

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6.2 Properties of Sets

6.2 Properties of Sets. Remember for the Processes. Proofs. Proof parts 1(a), 2(b) of theorem 6.2.1 Venn-Diagram, algebraically. Set Identities. The Empty Set.

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