RELATIONS AND FUNCTIONS
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RELATIONS AND FUNCTIONS

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RELATIONS AND FUNCTIONS Presentation Transcript

  • 1. Relations andfunctionsNicolas Nevarez
  • 2. 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 * bCopyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation .
  • 3. EXAMPLES (0;4)(0;6) A*B=(2;4)(2;6) (4;4) (4;6)Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation .
  • 4. CARTESIANPRODUCT FORMSThere are several ways torepresent the Cartesianproduct, I will explain severalways:Cartesian productCartesian diagramsagittal diagramTree DiagramCrosstab
  • 5. So I show better Second component (X;Y) First component
  • 6. Cartesian diagram This is one of the simplest there. You just have to locate ordered pairs in the Cartesian plane
  • 7. Demonstration
  • 8. Sagittal diagramThis is also a verysimple way to representthe ordered pairs iswhen the set isrepresented ingeometric and it isdistinguished by theordered pairs
  • 9. Demonstration
  • 10. 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
  • 11. Demonstration