The functionality of PrimitiveElement is now available in the newly added built-in Mathematica kernel function ToNumberField.

Nearest[{elem_1, elem_2, ...}, x] gives the list of elem_i to which x is nearest. Nearest[{elem_1 -> v_1, elem_2 -> v_2, ...}, x] gives the v_i corresponding to the elem_i to ...

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

ExcludedForms is an option for FullSimplify which can be set to a list of patterns for expressions that should not be touched if they are encountered at intermediate steps in ...

AppendColumns, AppendRows, and BlockMatrix are available using the Mathematica kernel functions Join and ArrayFlatten. TakeRows, TakeColumns, TakeMatrix, and SubMatrix are ...

Derived distributions are modifications to existing distributions. There is a variety of ways in which you can arrive at modified distributions, including functions of random ...

Version 6.0 represented a major step forward in visualization and graphics, with many new and original concepts. Among them was full integration of Mathematica symbolic ...

This section is designed to discuss how to make compiled functions run efficiently. It will cover features that make them run faster, as well as problems that can make them ...

Mathematica's symbolic architecture and dynamic interface make possible a uniquely flexible and convenient approach to charting and information visualization. With ...

FindInstance[expr, vars] finds an instance of vars that makes the statement expr be True. FindInstance[expr, vars, dom] finds an instance over the domain dom. Common choices ...