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Dual Number Automatic Differentiation - #8760

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@chriso345chriso345 commented May 23, 2023

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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}.

chriso345
chriso345 commented May 23, 2023
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Comment threadmaths/dual_number_automatic_differentiation.py Outdated
@algorithms-keeperalgorithms-keeperBot added the tests are failing Do not merge until tests pass label May 24, 2023
@cclauss
cclauss merged commit 200429f into TheAlgorithms:masterMay 25, 2023
tianyizheng02 pushed a commit to tianyizheng02/Python that referenced this pull request May 29, 2023
@chriso345github-actions
@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>
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Dual Number Automatic Differentiation by chriso345 · Pull Request #8760 · TheAlgorithms/Python · GitHub
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Dual Number Automatic Differentiation - #8760
Merged
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
May 25, 2023
Merged
Dual Number Automatic Differentiation#8760
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
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@chriso345
@chriso345chriso345
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May 23, 2023

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Collaborator
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: #{$ISSUE_NO}.
chriso345
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May 23, 2023
View reviewed changes
Comment threadmaths/dual_number_automatic_differentiation.py
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@algorithms-keeperalgorithms-keeperBot
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May 24, 2023
@cclauss
cclauss
merged commit 200429f
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TheAlgorithms:masterMay 25, 2023
tianyizheng02 pushed a commit
to tianyizheng02/Python
that referenced
this pull request
May 29, 2023
@chriso345github-actions
@pre-commit-ci@tianyizheng02
Dual Number Automatic Differentiation (TheAlgorithms#8760)
21ba90f
* Added dual_number_automatic_differentiation.py
* updating DIRECTORY.md
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* Update maths/dual_number_automatic_differentiation.py
---------
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
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Dual Number Automatic Differentiation by chriso345 · Pull Request #8760 · TheAlgorithms/Python · GitHub
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Dual Number Automatic Differentiation - #8760
Merged
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
May 25, 2023
Merged
Dual Number Automatic Differentiation#8760
cclauss merged 4 commits into
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chriso345:master
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@chriso345
@chriso345chriso345
commented
May 23, 2023

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Collaborator
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}.
chriso345
chriso345
commented
May 23, 2023
View reviewed changes
Comment threadmaths/dual_number_automatic_differentiation.py
Outdated

@algorithms-keeperalgorithms-keeperBot
added
the 
tests are failing
Do not merge until tests pass
label
May 24, 2023
@cclauss
cclauss
merged commit 200429f
into
TheAlgorithms:masterMay 25, 2023
tianyizheng02 pushed a commit
to tianyizheng02/Python
that referenced
this pull request
May 29, 2023
@chriso345github-actions
@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>
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, 'i');
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var __m = "*";
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Dual Number Automatic Differentiation by chriso345 · Pull Request #8760 · TheAlgorithms/Python · GitHub
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Dual Number Automatic Differentiation - #8760
Merged
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
May 25, 2023
Merged
Dual Number Automatic Differentiation#8760
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
Conversation
@chriso345
@chriso345chriso345
commented
May 23, 2023

Copy link


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Collaborator
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}.
chriso345
chriso345
commented
May 23, 2023
View reviewed changes
Comment threadmaths/dual_number_automatic_differentiation.py
Outdated

@algorithms-keeperalgorithms-keeperBot
added
the 
tests are failing
Do not merge until tests pass
label
May 24, 2023
@cclauss
cclauss
merged commit 200429f
into
TheAlgorithms:masterMay 25, 2023
tianyizheng02 pushed a commit
to tianyizheng02/Python
that referenced
this pull request
May 29, 2023
@chriso345github-actions
@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>
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Dual Number Automatic Differentiation by chriso345 · Pull Request #8760 · TheAlgorithms/Python · GitHub
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Dual Number Automatic Differentiation - #8760
Merged
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
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May 25, 2023
Merged
Dual Number Automatic Differentiation#8760
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
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@chriso345
@chriso345chriso345
commented
May 23, 2023

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Collaborator
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}.
chriso345
chriso345
commented
May 23, 2023
View reviewed changes
Comment threadmaths/dual_number_automatic_differentiation.py
Outdated

@algorithms-keeperalgorithms-keeperBot
added
the 
tests are failing
Do not merge until tests pass
label
May 24, 2023
@cclauss
cclauss
merged commit 200429f
into
TheAlgorithms:masterMay 25, 2023
tianyizheng02 pushed a commit
to tianyizheng02/Python
that referenced
this pull request
May 29, 2023
@chriso345github-actions
@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>
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, 'i');
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(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '
Dual Number Automatic Differentiation by chriso345 · Pull Request #8760 · TheAlgorithms/Python · GitHub
Skip to content
Dual Number Automatic Differentiation - #8760
Merged
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
May 25, 2023
Merged
Dual Number Automatic Differentiation#8760
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
Conversation
@chriso345
@chriso345chriso345
commented
May 23, 2023

Copy link


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Collaborator
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}.
chriso345
chriso345
commented
May 23, 2023
View reviewed changes
Comment threadmaths/dual_number_automatic_differentiation.py
Outdated

@algorithms-keeperalgorithms-keeperBot
added
the 
tests are failing
Do not merge until tests pass
label
May 24, 2023
@cclauss
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merged commit 200429f
into
TheAlgorithms:masterMay 25, 2023
tianyizheng02 pushed a commit
to tianyizheng02/Python
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Dual Number Automatic Differentiation by chriso345 · Pull Request #8760 · TheAlgorithms/Python · GitHub
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Dual Number Automatic Differentiation - #8760
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cclauss merged 4 commits into
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chriso345:master
May 25, 2023
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Dual Number Automatic Differentiation#8760
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chriso345:master
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@chriso345
@chriso345chriso345
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May 23, 2023

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Collaborator
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: #{$ISSUE_NO}.
chriso345
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May 23, 2023
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Comment threadmaths/dual_number_automatic_differentiation.py
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@pre-commit-ci@tianyizheng02
Dual Number Automatic Differentiation (TheAlgorithms#8760)
21ba90f
* Added dual_number_automatic_differentiation.py
* updating DIRECTORY.md
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* Update maths/dual_number_automatic_differentiation.py
---------
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
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Dual Number Automatic Differentiation by chriso345 · Pull Request #8760 · TheAlgorithms/Python · GitHub
Skip to content
Dual Number Automatic Differentiation - #8760
Merged
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
May 25, 2023
Merged
Dual Number Automatic Differentiation#8760
cclauss merged 4 commits into
TheAlgorithms:masterfrom 
chriso345:master
Conversation
@chriso345
@chriso345chriso345
commented
May 23, 2023

Copy link


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Collaborator
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: #{$ISSUE_NO}.
chriso345
chriso345
commented
May 23, 2023
View reviewed changes
Comment threadmaths/dual_number_automatic_differentiation.py
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@algorithms-keeperalgorithms-keeperBot
added
the 
tests are failing
Do not merge until tests pass
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May 24, 2023
@cclauss
cclauss
merged commit 200429f
into
TheAlgorithms:masterMay 25, 2023
tianyizheng02 pushed a commit
to tianyizheng02/Python
that referenced
this pull request
May 29, 2023
@chriso345github-actions
@pre-commit-ci@tianyizheng02
Dual Number Automatic Differentiation (TheAlgorithms#8760)
21ba90f
* Added dual_number_automatic_differentiation.py
* updating DIRECTORY.md
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* Update maths/dual_number_automatic_differentiation.py
---------
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
@isidroasisidroas
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