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Added doctests for monte_carlo.py#12427

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Commits on Dec 3, 2024

• Implemented Legendre polynomial computation algorithm

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• updating DIRECTORY.md

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• [pre-commit.ci] auto fixes from pre-commit.com hooks

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• Changed the import block

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• Removed an unused function

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Commits on Dec 4, 2024

• Added type hints and changed to descriptive names

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• Returned to previous commit with a variable name changed

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• Minor changes to some lists in the tests

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• Added type hints for tests

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• Minor changes to type hints

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• Minor changes to type hints

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Commits on Dec 7, 2024

• Added tests to proth_number.py

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• Undo the tests

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• Added doctests for monte_carlo.py

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