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[pre-commit.ci] pre-commit autoupdate -- ruff 2025 stable format (TheAlgorithms#12521)
* [pre-commit.ci] pre-commit autoupdate
updates:
- [github.com/astral-sh/ruff-pre-commit: v0.8.6 → v0.9.1](astral-sh/ruff-pre-commit@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 <[email protected]>
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