G^N
免費Offers In-App Purchases
2.9for iPhone, iPad and more
Age Rating
G^N 螢幕截圖
About G^N
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).
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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最新版本2.9更新日誌
Last updated on 2022年05月28日
歷史版本
Improved data-pickers
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Version History
2.9
2022年05月28日
Improved data-pickers
2.8
2017年10月31日
This app has been updated by Apple to display the Apple Watch app icon.
New picker views.
New picker views.
2.7
2017年08月01日
Improved zoom.
2.6
2017年04月05日
Restore button added.
2.5
2017年01月05日
In-app purchases added.
2.4
2016年10月21日
New sliders.
New timing features.
New timing features.
2.3
2016年10月06日
New timing function.
Performance improved.
Extended helper function.
Performance improved.
Extended helper function.
2.2
2016年09月30日
Helper function improved.
2.1
2016年06月18日
Design slightly changed.
Timing changed.
Timing changed.
2.0
2016年06月14日
Helper function added.
Rotation of labels improved.
Rotation of labels improved.
1.12
2016年06月06日
Some slight improvements in the game settings.
1.11
2016年05月04日
Touch control revised.
1.10
2016年04月18日
Interface orientation fixed. Performance slightly improved.
1.9
2016年04月01日
Functionality and performance improved.
1.8
2016年03月17日
Some slight improvements and two stability issues fixed.
1.7
2016年03月10日
New touch control.
Zoom feature added.
Zoom feature added.
1.6
2016年02月17日
Handling and performance improved.
In this version the maximal rank is 11 instead of 9.
In this version the maximal rank is 11 instead of 9.
1.5
2016年02月04日
New Color Settings, Animations improved.
1.4
2016年01月19日
Animations improved in some situations.
Slight changes, restrictions timing settings.
Puzzle Mode eliminated.
Some erros fixed.
Slight changes, restrictions timing settings.
Puzzle Mode eliminated.
Some erros fixed.
1.3
2015年12月15日
More Puzzles, Levels. Some errors fixed.
1.2
2015年12月04日
Some minor bux fixed, improvements
1.1
2015年11月06日
iAd framework added. Fixed Color for IOS 7.1;
1.0
2015年10月21日
G^N FAQ
點擊此處瞭解如何在受限國家或地區下載G^N。
以下為G^N的最低配置要求。
iPhone
須使用 iOS 9.0 或以上版本。
iPad
須使用 iPadOS 9.0 或以上版本。
iPod touch
須使用 iOS 9.0 或以上版本。
G^N支持英文
G^N包含應用內購買。 以下為G^N應用內購買價格清單。
Levels
HK$ 88.00
