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.

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Description: transformation in Z/nZ by addition and multiplication. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games

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