Math::Symbolic::Derivative(3pm)

1Math::Symbolic::DerivatUisveer(3C)ontributed Perl DocumeMnattaht:i:oSnymbolic::Derivative(3)
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NAME

6       Math::Symbolic::Derivative - Derive Math::Symbolic trees
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SYNOPSIS

9         use Math::Symbolic::Derivative qw/:all/;
10         $derived = partial_derivative($term, $variable);
11         # or:
12         $derived = total_derivative($term, $variable);
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DESCRIPTION

15       This module implements derivatives for Math::Symbolic trees.  Deriva‐
16       tives are Math::Symbolic::Operators, but their implementation is drawn
17       from this module because it is significantly more complex than the
18       implementation of most operators.
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20       Derivatives come in two flavours. There are partial- and total deriva‐
21       tives.
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23       Explaining the precise difference between partial- and total deriva‐
24       tives is beyond the scope of this document, but in the context of
25       Math::Symbolic, the difference is simply that partial derivatives just
26       derive in terms of explicit dependency on the differential variable
27       while total derivatives recongnize implicit dependencies from variable
28       signatures.
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30       Partial derivatives are faster, have been tested more thoroughly, and
31       are probably what you want for simpler applications anyway.
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33       EXPORT
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35       None by default. But you may choose to import the total_derivative()
36       and partial_derivative() functions.
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CLASS DATA

39       The package variable %Partial_Rules contains partial derivative rules
40       as key-value pairs of names and subroutines.
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SUBROUTINES

43       partial_derivative
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45       Takes a Math::Symbolic tree and a Math::Symbolic::Variable as argument.
46       third argument is an optional boolean indicating whether or not the
47       tree has to be cloned before being derived. If it is true, the subrou‐
48       tine happily stomps on any code that might rely on any components of
49       the Math::Symbolic tree that was passed to the sub as first argument.
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51       total_derivative
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53       Takes a Math::Symbolic tree and a Math::Symbolic::Variable as argument.
54       third argument is an optional boolean indicating whether or not the
55       tree has to be cloned before being derived. If it is true, the subrou‐
56       tine happily stomps on any code that might rely on any components of
57       the Math::Symbolic tree that was passed to the sub as first argument.
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AUTHOR

60       Please send feedback, bug reports, and support requests to the
61       Math::Symbolic support mailing list: math-symbolic-support at lists dot
62       sourceforge dot net. Please consider letting us know how you use
63       Math::Symbolic. Thank you.
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65       If you're interested in helping with the development or extending the
66       module's functionality, please contact the developers' mailing list:
67       math-symbolic-develop at lists dot sourceforge dot net.
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69       List of contributors:
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71         Steffen Müller, symbolic-module at steffen-mueller dot net
72         Stray Toaster, mwk at users dot sourceforge dot net
73         Oliver Ebenhöh
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NAME

SYNOPSIS

DESCRIPTION

CLASS DATA

SUBROUTINES

AUTHOR

SEE ALSO