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.
16       Derivatives are Math::Symbolic::Operators, but their implementation is
17       drawn from this module because it is significantly more complex than
18       the implementation of most operators.
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20       Derivatives come in two flavours. There are partial- and total
21       derivatives.
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23       Explaining the precise difference between partial- and total
24       derivatives 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
34       None by default. But you may choose to import the total_derivative()
35       and partial_derivative() functions.
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CLASS DATA

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

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

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

SYNOPSIS

DESCRIPTION

CLASS DATA

SUBROUTINES

AUTHOR

SEE ALSO