G^N 4+

Name: G^N
Author: Johannes Loeffler

Johannes Loeffler

Ontworpen voor iPad

- Gratis
- Biedt in‑app aankopen

Beschrijving

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).

28 mei 2022

Versie 2.9

Improved data-pickers

De ontwikkelaar, Johannes Loeffler, heeft aangegeven dat volgens de toepassing van het privacybeleid van de app gegevens kunnen worden beheerd zoals hieronder staat beschreven. Ga voor meer informatie naar het privacybeleid van de ontwikkelaar.