Interval Arithmetic (Mathematica Tutorial)

Representations of real intervals. This represents all numbers between -2 and +5. The square of any number between -2 and +5 is always between 0 and 25.

Repeated Patterns (Mathematica Tutorial)

Repeated patterns. Multiple blanks such as x__ allow you to give patterns in which sequences of arbitrary expressions can occur. The Mathematica pattern repetition operators ...

OpenCLMemoryAllocate (OpenCLLink Symbol)

OpenCLMemoryAllocate[t, len] allocates a new one-dimensional list of type t returning OpenCLMemory.OpenCLMemoryAllocate[t, {d_1, d_2, ...}] allocates a new list of dimensions ...

DiscreteRatio (Built-in Mathematica Symbol)

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

Compiling Mathematica Expressions (Mathematica Tutorial)

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

Approximate Functions and Interpolation (Mathematica Tutorial)

In many kinds of numerical computations, it is convenient to introduce approximate functions. Approximate functions can be thought of as generalizations of ordinary ...

Product (Built-in Mathematica Symbol)

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

Functions for Separable Coordinate ... (Mathematica Guide)

Create a Matrix (Mathematica How To)

Matrices are represented in Mathematica with lists. They can be entered directly with the { } notation, constructed from a formula, or imported from a data file. Mathematica ...

BernoulliDistribution (Built-in Mathematica Symbol)

BernoulliDistribution[p] represents a Bernoulli distribution with probability parameter p.