G^N
G^N is a special calculator not just..
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:
- Johannes Loeffler
应用更新
New picker views.
G^N应用截图
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).