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Relations and functions Nicolas Nevarez

RELATIONS AND FUNCTIONS

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Page 1: RELATIONS AND FUNCTIONS

Relations and functionsNicolas Nevarez

Page 2: RELATIONS AND FUNCTIONS

Relations

Whether we can say that a relation is a set of ordered pairs.If a and b are any two sets, r is a ratio of a to b if and only if r is a subset of a * b

Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

Page 3: RELATIONS AND FUNCTIONS

Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

EXAMPLES

(0;4)(0;6)

A*B=(2;4)(2;6)

(4;4) (4;6)

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CARTESIAN PRODUCT FORMS

There are several ways to represent the Cartesian product, I will explain several ways:Cartesian productCartesian diagramsagittal diagramTree DiagramCrosstab

Page 5: RELATIONS AND FUNCTIONS

So I show better

(X;Y)

Second component

First component

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Cartesian diagram

This is one of the simplest there. You just have to locate ordered pairs in the Cartesian plane

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Demonstration

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Sagittal diagram

This is also a very simple way to represent the ordered pairs is when the set is represented in geometric and it is distinguished by the ordered pairs

Page 9: RELATIONS AND FUNCTIONS

Demonstration

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Crosstab

• En este gráfico se representan los pares ordenados en cuadro en el que los primeros dígitos van hacia abajo y los segundos van abajo

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Demonstration