

 
Manual Reference Pages  MATH::SYMBOLIC::DERIVATIVE (3)
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NAME
Math::Symbolic::Derivative  Derive Math::Symbolic trees
CONTENTS
SYNOPSIS
use Math::Symbolic::Derivative qw/:all/;
$derived = partial_derivative($term, $variable);
# or:
$derived = total_derivative($term, $variable);
DESCRIPTION
This module implements derivatives for Math::Symbolic trees.
Derivatives are Math::Symbolic::Operators, but their implementation
is drawn from this module because it is significantly more complex
than the implementation of most operators.
Derivatives come in two flavours. There are partial and total derivatives.
Explaining the precise difference between partial and total derivatives is
beyond the scope of this document, but in the context of Math::Symbolic,
the difference is simply that partial derivatives just derive in terms of
explicit dependency on the differential variable while total derivatives
recongnize implicit dependencies from variable signatures.
Partial derivatives are faster, have been tested more thoroughly, and
are probably what you want for simpler applications anyway.
EXPORT
None by default. But you may choose to import the total_derivative()
and partial_derivative() functions.
The package variable %Partial_Rules contains partial
derivative rules as keyvalue pairs of names and subroutines.
SUBROUTINES
partial_derivative
Takes a Math::Symbolic tree and a Math::Symbolic::Variable as argument.
third argument is an optional boolean indicating whether or not the
tree has to be cloned before being derived. If it is true, the
subroutine happily stomps on any code that might rely on any components
of the Math::Symbolic tree that was passed to the sub as first argument.
total_derivative
Takes a Math::Symbolic tree and a Math::Symbolic::Variable as argument.
third argument is an optional boolean indicating whether or not the
tree has to be cloned before being derived. If it is true, the
subroutine happily stomps on any code that might rely on any components
of the Math::Symbolic tree that was passed to the sub as first argument.
AUTHOR
Please send feedback, bug reports, and support requests to the Math::Symbolic
support mailing list:
mathsymbolicsupport at lists dot sourceforge dot net. Please
consider letting us know how you use Math::Symbolic. Thank you.
If you’re interested in helping with the development or extending the
module’s functionality, please contact the developers’ mailing list:
mathsymbolicdevelop at lists dot sourceforge dot net.
List of contributors:
Steffen MXller, symbolicmodule at steffenmueller dot net
Stray Toaster, mwk at users dot sourceforge dot net
Oliver EbenhXh
SEE ALSO
New versions of this module can be found on
http://steffenmueller.net or CPAN. The module development takes place on
Sourceforge at http://sourceforge.net/projects/mathsymbolic/
Math::Symbolic
perl v5.20.3  MATH::SYMBOLIC::DERIVATIVE (3)  20130617 
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