* [pre-commit.ci] pre-commit autoupdate
updates:
- [github.com/astral-sh/ruff-pre-commit: v0.8.6 → v0.9.1](https://github.com/astral-sh/ruff-pre-commit/compare/v0.8.6...v0.9.1)
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* Update maths/dual_number_automatic_differentiation.py
* Update maths/dual_number_automatic_differentiation.py
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* Update dual_number_automatic_differentiation.py
* Update dual_number_automatic_differentiation.py
* No <fin-streamer> tag with the specified data-test attribute found.
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Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>
* rename base64_cipher.py to base64_encoding.py
* edit base64_encoding.py
* import necessary modules inside doctests
* make it behave like the official implementation
* replace format with f-string where possible
* replace format with f-string
Co-authored-by: Christian Clauss <cclauss@me.com>
* fix: syntax error due to closing parenthese
* reformat code
Co-authored-by: Christian Clauss <cclauss@me.com>
* avrage.py
calculate and print the avrage of number list.
* Update base64_cipher.py
encoding and decoding base64 without any module.
* Update and rename avrage.py to average.py
* update find_lcm algorithm
I made find_lcm more efficient form O(num1*num2) to O(min{num1,num2}).