基本信息

更新日期:
版本:
2.8
大小:
2.8 MB
类型:
教育 益智解密
平台:
iOS
评分:
发布日期:
2017-10-31
价格:
免费
开发者:

应用更新

New picker views.

G^N应用截图

【图】G^N(截图1)

G^N应用简介

G^N is a special calculator not just a game:
This math app animates iterations of one or compositions of two multi-valued maps for free groups of in principle arbitrary finite rank in the abelian and non-commutative cases respectively (in this version the rank is restricted to values in between 2 and 11). Well-known examples of such multi-valued maps are permutations, for example the flip (x_1,x_2)->(x_2,x_1), in G^N we just write (1,2)->(2,1) and instead of the inverse we convenient flip the number. A more involved type of such a multi-valued map is the n+1 cycle defined by (1,…,n)->(-2-3-…-n-1,3,4,…,n,1), a non-trivial theorem. For example if n=2 this map is the hexagon (1,2)->(-2-1,1), this map applied twice reads (1,2)->(2,-2-1) and the third iteration is the identity map (1,2)->(1,2).

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