G^N vs Solving Combinatorics Utilisation & Stats
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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Finally there is the app that provides all 6 variations of combinatorics with step by step solutions:
- permutation without repetition: Arranging elements without repetition.
- permutation with repetition: Arranging elements with repetition.
- combination without repetition: Selecting elements without considering the order.
- combination with repetition: Selecting elements with consideration of the order.
- variation without repetition: Arranging elements with fixed length without repetition.
- variation with repetition: Arranging elements with fixed length with repetition.
You only have to enter your values k and n. The values must be entered as natural numbers. The only exception is the k value for permutation with repitition. This requires several k values, which must be entered separated by semicolons.
All calculations are stored in the history. The final solution can be shared.
[ Contents ]
- all 6 variations of combinatorics
- results are calculated and shown in detail
- history to save the input
- detailed solution
- natural numbers are supported
- option to remove advertisements
[ Usage ]
- there are fields for entering values using a special keyboard
- multiple k values can be entered using the semicolon key
- press the check mark button at the bottom right to start the calculation
- if values are missing, the corresponding field is highlighted in yellow
- if the values are incorrect, the affected field will be highlighted in red
- a short message explains why a value is incorrect
- the entries in the history can be deleted or sorted
- if you select an entry in the history, it will be automatically loaded for the calculation
- the whole history can be deleted by pressing a button
- solutions can be shared
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- Éducation
Classement dans le store
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G^N VS. 
Solving Combinatorics18écembre d, 2024