Mathematica has immedate built-in access to extensive scientific and technical data—all carefully curated and updated at Wolfram Research.

Mathematica provides direct access to a large volume of mathematical data, specially organized and created for Mathematica. The data is available in a wide range of forms ...

HornerForm[poly] puts the polynomial poly in Horner form.HornerForm[poly, vars] puts poly in Horner form with respect to the variable or variable list ...

Cases[{e_1, e_2, ...}, pattern] gives a list of the e_i that match the pattern. Cases[{e_1, ...}, pattern -> rhs] gives a list of the values of rhs corresponding to the e_i ...

MonomialList[poly] gives the list of all monomials in the polynomial poly.MonomialList[poly, {x_1, x_2, ...}] gives the list of monomials with respect to the variables x_i in ...

Mathematica's unified symbolic architecture allows immediate generalization of part-oriented list operations to arbitrary expressions —supporting operations both on ...

CoefficientList[poly, var] gives a list of coefficients of powers of var in poly, starting with power 0. CoefficientList[poly, {var_1, var_2, ...}] gives an array of ...

Mathematica can efficiently handle both univariate and multivariate rational functions, with built-in functions immediately implementing standard algebraic transformations.

The notion of expressions is a crucial unifying principle in Mathematica. It is the fact that every object in Mathematica has the same underlying structure that makes it ...

Mathematica can collect, process, and display data dynamically and in real time. A large collection of curated data is built into Mathematica , which puts an extraordinary ...