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math::symbolic::custom::defaultmods(3pm) [debian man page]

Math::Symbolic::Custom::DefaultMods(3pm)		User Contributed Perl Documentation		  Math::Symbolic::Custom::DefaultMods(3pm)

NAME

       Math::Symbolic::Custom::DefaultMods - Default Math::Symbolic transformations

SYNOPSIS

	 use Math::Symbolic;

DESCRIPTION

       This is a class of default transformations for Math::Symbolic trees. Likewise, Math::Symbolic::Custom::DefaultTests defines default tree
       testing routines.  For details on how the custom method delegation model works, please have a look at the Math::Symbolic::Custom and
       Math::Symbolic::Custom::Base classes.

   EXPORT
       Please see the docs for Math::Symbolic::Custom::Base for details, but you should not try to use the standard Exporter semantics with this
       class.

SUBROUTINES

   apply_derivatives()
       Never modifies the tree in-place, but returns a modified copy of the original tree instead.

       Applied to variables and constants, this method just clones.

       Applied to operators and if the operator is a derivative, this applies the derivative to the derivative's first operand.

       Regardless what kind of operator this is called on, apply_derivatives will be applied recursively on its operands.

       If the first parameter to this function is an integer, at maximum that number of derivatives are applied (from top down the tree if
       possible).

   apply_constant_fold()
       Does not modify the tree in-place by default, but returns a modified copy of the original tree instead. If the first argument is true, the
       tree will not be cloned. If it is false or not existant, the tree will be cloned.

       Applied to variables and constants, this method just clones.

       Applied to operators, all tree segments that contain constants and operators only will be replaced with Constant objects.

   mod_add_constant
       Given a constant (object or number) as argument, this method tries hard to fold it into an existing constant of the object this is called
       on is already a sum or a difference.

       Basically, this is the same as "$tree + $constant" but does some simplification.

   mod_multiply_constant
       Given a constant (object or number) as argument, this method tries hard to fold it into an existing constant of the object this is called
       on is already a product or a division.

       Basically, this is the same as "$tree * $constant" but does some simplification.

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 Mueller, symbolic-module at steffen-mueller dot net
	 Stray Toaster, mwk at users dot sourceforge dot net
	 Oliver Ebenhoeh

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::Custom Math::Symbolic::Custom::DefaultDumpers Math::Symbolic::Custom::DefaultTests Math::Symbolic

perl v5.10.1							    2011-01-01				  Math::Symbolic::Custom::DefaultMods(3pm)

Check Out this Related Man Page

Math::Symbolic::Derivative(3pm) 			User Contributed Perl Documentation			   Math::Symbolic::Derivative(3pm)

NAME

       Math::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 Mueller, symbolic-module at steffen-mueller dot net
	 Stray Toaster, mwk at users dot sourceforge dot net
	 Oliver Ebenhoeh

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 v5.10.1							    2011-01-01					   Math::Symbolic::Derivative(3pm)
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