'Representing relations' presentation slideshows

Discrete Structures

Discrete Structures. Relations and Their Properties By A. A. Agarkar S.C.O.E., Pune. Relations. Binary relations represent relationships between the elements of two sets. A binary relation R from set A to set B is defined by: R ? A ? B If ( a , b ) ? R , we write:

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Combinatorial Mathematics

Combinatorial Mathematics. Chapter 8 Relations. Outline. 8.1 Relations and their properties 8.3 Representing Relations 8.4 Closures of Relations 8.5 Equivalence Relations 8.6 Partial Orderings. 8.1 Relations and their properties.

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D ata E nrichment for Adaptive Gen eralization from a Multiresolution Database Moritz Neun

D ata E nrichment for Adaptive Gen eralization from a Multiresolution Database Moritz Neun SNF-Project DEGEN 4/2004 - 4/2007. Context. DEGEN = D ata E nrichment for the Control of the Gen eralization Process (Stefan Steiniger) & D ata E nrichment for Adaptive Gen eralization

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Relations

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Relations

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22C:19 Discrete Math Advanced Counting

22C:19 Discrete Math Advanced Counting. Fall 2011 Sukumar Ghosh. Compound Interest. A person deposits $10,000 in a savings account that yields 10% interest annually. How much will be there in the account After 30 years? Let P n = account balance after n years.

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Representing Relations

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Representing Relations

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Representing Relations Using Matrices

Representing Relations Using Matrices. Example: How can we represent the relation R = {(2, 1), (3, 1), (3, 2)} as a zero-one matrix? Solution: The matrix M R is given by. Representing Relations Using Matrices. Example: Let the relations R and S be represented by the matrices.

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Databases and Relations

Databases and Relations. Let us take a look at a type of database representation that is based on relations, namely the relational data model. A database consists of n-tuples called records , which are made up of fields . These fields are the entries of the n-tuples.

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CSE115/ENGR160 Discrete Mathematics 04/26/12

CSE115/ENGR160 Discrete Mathematics 04/26/12. Ming-Hsuan Yang UC Merced. 9.3 Representing relations. Can use ordered set, graph to represent sets Generally, matrices are better choice

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8.3 Representing Relations

8.3 Representing Relations. Consider the following relations on A={1,2,3,4}. Consider the matrix M R1 = | 1 1 0 1 | | 0 1 0 0 | | 1 1 1 0 | | 0 1 1 1 | Express as ordered pairs: Which characteristics does R1 have: RSAT?. Express in other formats.

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Representing Relations

Representing Relations. Section 9.3. Section Summary. Representing Relations using Matrices Representing Relations using Digraphs. Representing Relations Using Matrices. A relation between finite sets can be represented using a zero-one matrix.

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Chapter 8 (Part 2): Relations

Chapter 8 (Part 2): Relations. Representing Relations (8.3) Equivalence Relations (8.5). Representing Relations (8.3). First way is to list the ordered pairs Second way is through matrices Third way is through direct graphs. Representing Relations (8.3).

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???? (Discrete Mathematics) 7.3 ??? ?? (Representing Relations)

???? (Discrete Mathematics) 7.3 ??? ?? (Representing Relations). 2006 ? ??? ??? ????? ??????. Representing Relations. 7.3 Representing Relations. Some ways to represent n -ary relations: With an explicit list or table of its tuples.

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Review Unit 5

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Section 7.3: Representing Relations

Section 7.3: Representing Relations. In this section, we will cover two ways to represent a relation over a finite set other than simply listing the relation elements or using set builder notation to specify the elements in the relation. Representing Relations Using Matrices.

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