With origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. ...

Using the latest platform-optimized code, Mathematica not only delivers high-efficiency machine-precision evaluation of elementary functions, but also—using a number of ...

Tightly integrated into Mathematica's core language is a rich set of primitives for interacting with external environments. Mathematica's symbolic architecture makes possible ...

In addition to a rich set of standard file operations, Mathematica's unified symbolic architecture makes it easy to apply algorithmic approaches and efficient higher-level ...

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...

Mathematica's sophisticated algorithms for handling higher mathematical functions to arbitrary precision—and in symbolic form—immediately brings a new level of accuracy—and ...

Long the standard for high-quality function and surface visualization, Mathematica incorporates a host of original numeric, symbolic, and geometric algorithms that automate ...

In Mathematica, graphs can be constructed in a variety of ways. They can be built from vertices and edges directly in a symbolic form. They can come from built-in curated ...

Mathematica routinely handles huge arrays of numeric, symbolic, textual, or any other data, with any dimension or structure. Arrays are fully integrated into Mathematica's ...

Mathematica not only includes highly optimized implementations of standard image processing filters, but also uses its general symbolic architecture to allow arbitrarily ...