Mathematica provides many functions to group terms in a polynomial, extract and sort the monomials, display them in various ways, and even process them as arbitrary ...

Reap[expr] gives the value of expr together with all expressions to which Sow has been applied during its evaluation. Expressions sown using Sow[e] or Sow[e, tag_i] with ...

Together[expr] puts terms in a sum over a common denominator, and cancels factors in the result.

For ordinary polynomials, Factor and Expand give the most important forms. For rational expressions, there are many different forms that can be useful. Different kinds of ...

EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are ...

Mathematical Data >, Scientific & Technical Data  >, Geographic Data >, Computational Finance >, Linguistic Data >, New in 6.0  >, New in 7.0 >, New in 8.0  >

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used.

Structural operations on polynomials. Here is a polynomial in one variable. Expand expands out products and powers, writing the polynomial as a simple sum of terms.

ColorData["scheme"] gives a function that generates colors in the named color scheme when applied to parameter values. ColorData["scheme", " property"] gives the specified ...