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Dual Number Automatic Differentiation #8760

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Merged
merged 4 commits into from
May 25, 2023
Merged

Dual Number Automatic Differentiation #8760

merged 4 commits into from
May 25, 2023

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ChrisO345
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Describe your change:

Added an algorithm to differentiate an equation to find the exact solution using dual numbers.
Note this only works for basic functions, f(x) where the power of x is positive.

https://en.wikipedia.org/wiki/Automatic_differentiation#Automatic_differentiation_using_dual_numbers
https://blog.jliszka.org/2013/10/24/exact-numeric-nth-derivatives.html

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the commit message contains Fixes: #{$ISSUE_NO}.

@algorithms-keeper algorithms-keeper bot added the tests are failing Do not merge until tests pass label May 24, 2023
@cclauss cclauss merged commit 200429f into TheAlgorithms:master May 25, 2023
tianyizheng02 pushed a commit to tianyizheng02/Python that referenced this pull request May 29, 2023
@ChrisO345 @pre-commit-ci @tianyizheng02
Dual Number Automatic Differentiation (TheAlgorithms#8760)
21ba90f 
* Added dual_number_automatic_differentiation.py

* updating DIRECTORY.md

* [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

---------

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
sedatguzelsemme pushed a commit to sedatguzelsemme/Python that referenced this pull request Sep 15, 2024
@ChrisO345 @pre-commit-ci @sedatguzelsemme
Dual Number Automatic Differentiation (TheAlgorithms#8760)
398d3a4 
* Added dual_number_automatic_differentiation.py

* updating DIRECTORY.md

* [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

---------

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
@isidroas isidroas mentioned this pull request Jan 25, 2025
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@cclauss cclauss cclauss approved these changes

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@ChrisO345 @cclauss