'Proper subset' presentation slideshows

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

Basic Structures: Sets, Functions, Sequences, Sums, and Matrices. Chapter 2. Chapter Summary. Sets The Language of Sets Set Operations Set Identities Functions Types of Functions Operations on Functions Sequences and Summations Types of Sequences Summation Formulae Matrices

3.17k views • 137 slides

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

Basic Structures: Sets, Functions, Sequences, Sums, and Matrices. Chapter 2. With Question/Answer Animations. Chapter Summary. Sets The Language of Sets Set Operations Set Identities Functions Types of Functions Operations on Functions Computability Sequences and Summations

1.64k views • 137 slides

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

Basic Structures: Sets, Functions, Sequences, Sums, and Matrices. Chapter 2. With Question/Answer Animations. Chapter Summary. Sets The Language of Sets Set Operations Set Identities Functions Types of Functions Operations on Functions Computability Sequences and Summations

1.4k views • 118 slides

CS 173: Discrete Mathematical Structures

633 views • 32 slides

Recap of Feb 13: SQL, Relational Calculi, Functional Dependencies

Recap of Feb 13: SQL, Relational Calculi, Functional Dependencies. SQL: multiple group bys , having , lots of examples Tuple Calculus Domain Calculus Functional Dependencies F+ = the closure of the set of FDs on a given relation. Relational Database Design.

471 views • 30 slides

Part 1 Module 1 Sets, elements, subsets

Part 1 Module 1 Sets, elements, subsets. In this course we cover a variety of topics, some of which may seem to be completely unrelated to others. Set mathematics Combinatorics Symbolic logic Statistics Probability Geometry . Logic and reasoning in mathematics.

620 views • 29 slides

Normalization

Normalization. Lecture 12 Inst: Haya Sammaneh. Objectives of Normalization. How tables that contain redundant data can suffer from update anomalies, which can introduce inconsistencies into a database.

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Basic Definitions of Set Theory

Basic Definitions of Set Theory. Lecture 24 Section 5.1 Fri, Mar 2, 2007. The Universal Set. Whenever we use sets, there must be a universal set U which contains all elements under consideration. Typical examples are U = R and U = N .

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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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2.1 Sets and Whole Numbers

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MA4266 Topology

Lecture 9. . MA4266 Topology. Wayne Lawton Department of Mathematics S17-08-17, 65162749 matwml@nus.edu.sg http://www.math.nus.edu.sg/~matwml/ http://arxiv.org/find/math/1/au:+Lawton_W/0/1/0/all/0/1. Path Connected Spaces.

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Normalization

Normalization. Normal Forms. If a relation is in a certain normal form ( BCNF, 3NF etc.), it is known that certain kinds of redundancies are avoided/minimized. This can be used to help us decide whether decomposing the relation will help. Role of FDs in detecting redundancy:

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AND

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Comparing sets

Comparing sets. Chapter 2 Sec 2. Set equality. One of the fundamental things we need to know about two sets is when do we consider them to be the same. Def

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Cuts and Connectivity

Cuts and Connectivity. Vertex Cut and Connectivity. A separating set or vertex cut of a graph G is a set S ? V(G) such that G?S has more than one component. A graph G is k-connected if every vertex cut has at least k vertices.

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Sets

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600.103 Solutions to Homework #1

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DETERMINISTIC CONTEXT FREE LANGUAGES

DETERMINISTIC CONTEXT FREE LANGUAGES. Ethakota Krishnamurthi Surendranath Manoj Gujjari. What is a CFL(Context Free Language)? Deterministic Context Free Language Description Properties Importance. CONTEXT FREE LANGUAGES.

302 views • 0 slides