Simplification

Simplifying an expression often means different things at different times.
Axiom offers a large number of "simplification" functions. The most common
one, which performs the usual trigonometric simplifications is
simplify.
If the result of simplify is not
satisfactory, specific transformations are available. For example, to
rewrite g in terms of secants and cosecants instead of sines and cosines,
issues:
To apply the logarithm simplification rules to h, issue:
Since the square root of x^2 is the absolute value of x and not x itself,
algebraic radicals are not automatically simplified, but you can
specifically request it by calling
rootSimp:
There are other transformations which are sometimes useful. Use the
functions
complexElementary and
trigs to go back and forth between
the complex exponential and trigonometric forms of an elementary function.
Similarly, the functions
realElementary and
htrigs convert hyperbolic functions in
and out of their exponential form.
Axiom has other transformations, most of which are in the packages
ElementaryFunctionStructurePackage,
TrigonometricManipulations,
AlgebraicManipulations, and
TranscendentalManipulations. If you need to apply a simplification
rule not built into the system you can use Axiom's
pattern matcher.