G^N

G^N

Johannes Loeffler

2.8 for iPhone, iPad
Free
0

0 Ratings

Release Date

2017-10-31

Size

2.7 MB

Screenshots for iPhone

iPhone
More Screenshots for iPad
G^N Description
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).
G^N 2.8 Update
2017-10-31 Version History
New picker views.
More
More Information
Price:
Free
Version:
2.8
Size:
2.7 MB
Release Date:
2017-10-31
Developer:
Johannes Loeffler
Language:
English
More
You May Also Like
Developer Apps