OEF finite map --- Introduction ---

This module actually contains 12 exercises on maps between finite sets represented by integers. The main goal of these exercises is to acquire the notions of surjectivity, injectivity, bijectivity, image, inverse image, etc.

Bijectivity by polynomial

{0,1,...,}
  (mod ).
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{}?

Image by polynomial

{0,1,...,}
  (mod ).
?
?




?
{}?

Elements by polynomial

{0,1,...,}
  (mod ).
?
?




?
{}?

Inverse image by polynomial

{0,1,...,}
  (mod ).
?
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?
{}?

Table by polynomial

{0,1,...,}
  (mod ).

Bijectivity by table

{0,1,...,}
?
?




?
{}?

Cube by table

{0,1,...,}

Image by table

{0,1,...,}
?
?




?
{}?

Inverse map by table

{0,1,...,}

Elements by table

{0,1,...,}
?
?




?
{}?

Inverse image by table

{0,1,...,}
?
?




?
{}?

Square by table

{0,1,...,}
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Description: collection of exercises on maps between finite sets. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, algebra, arithmetic,set_theory, maps, surjectivity, injectivity,image, preimage