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 ).
?
?




?
{}?


Image by polynomial

{0,1,...,}
  (mod ).
?
?




?
{}?


Elements by polynomial

{0,1,...,}
  (mod ).
?
?




?
{}?


Inverse image by polynomial

{0,1,...,}
  (mod ).
?
?




?
{}?


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,...,}

This page is not in its usual appearance because WIMS is unable to recognize your web browser.
In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press ``Enter''.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.