Mathematica can efficiently exchange data in all standard numerical formats—allowing convenient symbolic specification of data subsets and data elements.

Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its ...

In two decades of intense algorithmic development, Mathematica has established a new level of numerical computation. Particularly notable are its many original highly ...

Throughout Mathematica there is support not only for approximate real numbers, but also for exact numbers represented in algebraic or symbolic form. Functions like Floor, ...

Mathematica provides a convenient collection of platform-independent functions for manipulating names of files and directories. These functions can also be used to assemble ...

Mathematica represents vectors as lists, and never needs to distinguish between row and column cases. Vectors in Mathematica can always mix numbers and arbitrary symbolic or ...

Integrated into Mathematica is a full range of state-of-the-art local and global optimization techniques, both numeric and symbolic, including constrained nonlinear ...

Manipulate is an extremely powerful function that immediately creates complete dynamic interfaces, automatically optimized for usability and appearance. For specific ...

Directly integrated into the Mathematica language is a convenient symbolic options mechanism that allows arbitrary sequences of named parameters to be given to both built-in ...

Mathematica makes it easy to "bulletproof" packages, and prevent features of their environment from affecting their internal operation.