Math::Symbolic::DerivaUser(Contributed Perl DocumMath::Symbolic::Derivative(3)NAMEMath::Symbolic::Derivative - Derive Math::Symbolic trees
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.
CLASS DATA
The package variable %Partial_Rules contains partial derivative rules
as key-value 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: math-symbolic-support 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:
math-symbolic-develop at lists dot sourceforge dot net.
List of contributors:
Steffen MA~Xller, symbolic-module at steffen-mueller dot net
Stray Toaster, mwk at users dot sourceforge dot net
Oliver EbenhA~Xh
SEE ALSO
New versions of this module can be found on http://steffen-mueller.net
or CPAN. The module development takes place on Sourceforge at
http://sourceforge.net/projects/math-symbolic/
Math::Symbolic
perl v5.14.1 2011-07-26 Math::Symbolic::Derivative(3)
