CylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds a decomposition of the region represented by the inequalities ineqs into cylindrical parts whose directions correspond ...

FileBaseName["file"] gives the base name for a file without its extension.

GenericCylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds the full-dimensional part of the decomposition of the region represented by the inequalities ineqs into ...

The Part function allows you to access specific parts of Mathematica expressions. But particularly when your expressions have fairly uniform structure, it is often convenient ...

Nested lists are lists within a list; they are the principal structure for data in Mathematica and allow for high-dimension arrays and ragged datasets as well as common uses ...

Special forms for some common symbols. This is equivalent to Sin[60Degree]. Here is the long form of the input.

Type Ctrl+DynamicBox[If[$OperatingSystem === MacOSX, T, D], ImageSizeCache -> {9., {0., 8.}}] or choose Graphics > Drawing Tools. For more information on each tool, click the ...

At the core of Mathematica is the foundational idea that everything —data, programs, formulas, graphics, documents—can be represented as symbolic expressions. And it is this ...

Shallow[expr] prints as a shallow form of expr. Shallow[expr, depth] prints with all parts of expr below the specified depth given in skeleton form. Shallow[expr, {depth, ...

Integrated into the core Mathematica language is industrial-strength string manipulation, not only with ordinary regular expressions, but also with Mathematica's own powerful ...