'Equivalence relations' diaporamas de présentation

Discrete Structures

In The Name of Allah. Discrete Structures. Instructor: Dr. Ali Movaghar. Sharif University of Technology. Fall 1389. Relations : In these slides: Relations and their properties n- ary relations and their applications Representing relations Closures of relations

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Chapter 8 Analysis

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Introduction to Theoretical Computer Science COMP 335 Fall 2004

Introduction to Theoretical Computer Science COMP 335 Fall 2004 Slides by Costas Busch, Rensselaer Polytechnic Institute, Modified by N. Shiri & G. Grahne, Concordia University. This course: A study of abstract models of computers and computation .

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???? Computer and Robot Vision I

???? Computer and Robot Vision I. Chapter2: Binary Machine Vision: Thresholding and Segmentation Instructor: Shih- Shinh Huang. Contents. Introduction Thresholding Connected Components Labeling Signature Segmentation and Analysis. Computer and Robot Vision I. Introduction.

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Introduction

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Discrete Structures Chapter 5 Relations

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Understanding Analogy & Metaphor

Understanding Analogy & Metaphor. Relational frame theorists have employed the concept of relating relations , as the basic process underlying the understa n ding and construction of analogies and metaphors

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Minimal DFA

Minimal DFA. Among the many DFAs accepting the same regular language L, there is exactly one (up to renaming of states) which has the smallest possible number of states. Moreover, it is possible to obtain that minimal DFA for L starting from any other by the State Minimization Algorithm .

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Systems of equations over finite semigroups and the #CSP dichotomy

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Math 3121 Abstract Algebra I

Math 3121 Abstract Algebra I. Lecture 8 Sections 9 and 10. Section 9. Section 9: Orbits, Cycles, and the Alternating Group Definition: Orbits of a permutation Definition: Cycle permutations Theorem: Every permutation of a finite set is a product of disjoint cycles.

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Equivalence Relations

Equivalence Relations. Rosen 6.5. Some preliminaries. Let a be an integer and m be a positive integer. We denote by a MOD m the remainder when a is divided by m. If r = a MOD m, then a = qm + r and 0 ? r ? m, q?Z Examples Let a = 12 and m = 5, 12MOD5 = 2

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Math 3121 Abstract Algebra I

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Equivalence relations and partitions .

Equivalence relations and partitions . Consider the following relation on a set of all people: B = {( x , y )| x has the same birthday as y }. B is reflexive, symmetric and transitive. We can think about this relation as splitting all people into

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Change Management on Hybrid OMDoc Documents: A Case Study

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Closure Operators, Equivalences and Models

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Equivalence Relations

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Equivalence Relations

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A Quick Math Overview

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Set Theory

Set Theory. Relations, Functions, and Countability. Relations. Let B ( n ) denote the number of equivalence relations on n elements. Show that B(n) ? . Show that B(n) ? n!. Show that B(n) ? 2 n?1 . . Bell numbers. Functions and Equivalence Relations. Remark

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Chapter 8 Equivalence Relations

Chapter 8 Equivalence Relations. Let A and B be two sets. A r elation R from A to B is a subset of AXB. That is, R is a set of ordered pairs, where the first coordinate of the pair belongs to A and the second coordinate belongs to B.

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