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

Permutations are among the most basic elements of discrete mathematics. They can be used to represent discrete groups of transformations and in particular play a key role in ...

Mathematica allows convenient automated selection of plotting and image regions using a family of specially developed robust algorithms, as well as allowing detailed manual ...

Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...

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 ...

Mathematica has sophisticated built-in automatic numerical precision and accuracy control. But for special-purpose optimization of numerical computations, or for studying ...

Mathematica stands out from traditional computer languages in supporting many programming paradigms. Procedural programming is the only paradigm available in languages like C ...

Mathematica has uniquely flexible capabilities for processing large volumes of textual data. Most often data represented as a string is converted to lists or other constructs ...

Mathematica supports a large collection of relational operator characters, each of which can also be used as an element of Mathematica syntax, representing a formal operator ...

At the core of Mathematica's symbolic programming paradigm is the concept of transformation rules for arbitrary symbolic patterns. Mathematica's pattern language conveniently ...