https://github.com/kevinywlui/mozes

Sagemath implementation of Mozes' Number Game
https://github.com/kevinywlui/mozes

Last synced: 29 days ago
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Sagemath implementation of Mozes' Number Game

• Host: GitHub
• URL: https://github.com/kevinywlui/mozes
• Owner: kevinywlui
• Created: 2015-06-01T05:14:00.000Z (over 9 years ago)
• Default Branch: master
• Last Pushed: 2015-06-02T04:05:46.000Z (over 9 years ago)
• Last Synced: 2023-05-06T16:41:04.391Z (over 1 year ago)
• Language: Python
• Size: 117 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Sagemath implementation of Mozes' Number Game

## Usage

### Compute Weyl Groups of finite type

````

sage: A = Mozes(CartanType(['B',4'])); A.order()

384

````

### Compute number of elements after k iterations on affine type

````

sage: A = Mozes(CartanType(['A',2,1])); A.compute_elements(5)

sage: sum(len(A.elements[i]) for i in range(6))

46

````

## References

[Mozes' Paper](http://www.sciencedirect.com/science/article/pii/009731659090024Q)

[Cartan Types in Sage](http://doc.sagemath.org/html/en/reference/combinat/sage/combinat/root_system/cartan_type.html)