Transfinite arithmetic
--- Introduction ---

This is an exercise as well as a game. Let a set E of k elements in the finite ring ZZ/nZZ, represented by k integers between 0 and n-1. For any element t in ZZ/nZZ, the addition or multiplication by t transforms E into another set Et subset ZZ/nZZ.

Thus the exercise generates two sets E,F subset ZZ/nZZ, of the same number of elements, and asks you to transform E into F by successive additions and multiplications by elements of ZZ/nZZ. And you will be scored according to the number of steps you make.

Choose the level of difficulty: 1  2  3  4  5  6  7  8  9 

You can also configure the exercise by a detailed menu. The most recent version

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.

Description: transformation in Z/nZ by addition and multiplication. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, algebra, integer, congruence, modular arithmetic, arithmetic