SIMPLIFY

Syntax

SIMPLIFY( equation|expression, "simplification"[;"simplification"])

Implemented in iMath since version 2.2.0 or earlier.

Explanation

Possible values for simplification are:

• expand Fully expands all expressions, including function arguments.
• expandf Only expand function definition, not arguments.
• eval Numerically evaluate the equation as far as possible.
• normal Normalize the equation (see description of GiNaC normal() method for details).
• collect-common Collect common factors (see description of GiNaC collect_common_factors() method for details).
• unsafe Does unsafe simplifications, for example sqrt{x^2} => x or \arctan\tan{x} => x. Note that the opposite \tan\arctan{x} => x is not an unsafe evaluation and is thus done automatically (by GiNaC).
• ignore-units Removes units from certain functions, so that scientific formulas evaluate properly. Currently only units in the arguments of log and ln are handled.
• diff Evaluates differential function diff, thus symbolically calculating differentials as far as possible.
• cancel-diff Dissolve all derivatives into fractions of single differentials, and cancel numerators and denominators wherever possible. A typical use would be integration by separation of the variables.
• sum Evaluates sum functions, thus symbolically calculating sums as far as possible.
• gather-sqrt Gathers single square roots under one root symbol.
• integrate Symbolically integrates any integrals in the expression as far as possible.