Exists (Built-in Mathematica Symbol)

Exists[x, expr] represents the statement that there exists a value of x for which expr is True. Exists[x, cond, expr] states that there exists an x satisfying the condition ...

Combinatorial Functions (Mathematica Guide)

Package Bulletproofing (Mathematica Guide)

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

Numerical Precision (Mathematica Tutorial)

As discussed in "Exact and Approximate Results", Mathematica can handle approximate real numbers with any number of digits. In general, the precision of an approximate real ...

Infinity (Built-in Mathematica Symbol)

Infinity or \[Infinity] is a symbol that represents a positive infinite quantity.

Compile (Built-in Mathematica Symbol)

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

Namespace Management (Mathematica Guide)

Mathematica supports dynamic hierarchical namespace management, fully integrated into the Mathematica language. Mathematica's symbolic programming paradigm allows a unique ...

String Patterns (Mathematica Tutorial)

An important feature of string manipulation functions like StringReplace is that they handle not only literal strings but also patterns for collections of strings. This ...

Coordinate Systems for Two-Dimensional ... (Mathematica Tutorial)

When you set up a graphics object in Mathematica, you give coordinates for the various graphical elements that appear. When Mathematica renders the graphics object, it has to ...

Tracing Evaluation (Mathematica Tutorial)

The standard way in which Mathematica works is to take any expression you give as input, evaluate the expression completely, and then return the result. When you are trying ...