Functions Used in Optics (Mathematica Guide)

Random Number Generation (Mathematica Guide)

Based on original algorithms developed at Wolfram Research, Mathematica's core randomness generation is both highly efficient and of exceptional quality. Mathematica can ...

NormalDistribution (Built-in Mathematica Symbol)

NormalDistribution[\[Mu], \[Sigma]] represents a normal (Gaussian) distribution with mean \[Mu] and standard deviation \[Sigma].NormalDistribution[] represents a normal ...

Working with Special Functions (Mathematica Tutorial)

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

UnitBox (Built-in Mathematica Symbol)

UnitBox[x] represents the unit box function, equal to 1 for |x| <= 1/2 and 0 otherwise.UnitBox[x_1, x_2, ...] represents the multidimensional unit box function, equal to 1 if ...

HoldForm (Built-in Mathematica Symbol)

HoldForm[expr] prints as the expression expr, with expr maintained in an unevaluated form.

DiscreteShift (Built-in Mathematica Symbol)

DiscreteShift[f, i] gives the discrete shift DiscreteShift[f(i), i] == f(i + 1). DiscreteShift[f, {i, n}] gives the multiple shift \[DiscreteShift]_i^n\ f.DiscreteShift[f, ...

HypergeometricU (Built-in Mathematica Symbol)

HypergeometricU[a, b, z] is the confluent hypergeometric function U(a, b, z).

StringForm (Built-in Mathematica Symbol)

StringForm["controlstring", expr_1, ...] prints as the text of the controlstring, with the printed forms of the expr_i embedded.

Convolve (Built-in Mathematica Symbol)

Convolve[f, g, x, y] gives the convolution with respect to x of the expressions f and g.Convolve[f, g, {x_1, x_2, ...}, {y_1, y_2, ...}] gives the multidimensional ...