Throughout the Wolfram Language there is support not only for approximate real numbers, but also for exact numbers represented in algebraic or symbolic form. Functions like Floor , IntegerPart , and Max are all in effect set up to "prove theorems"—often using original algorithms developed at Wolfram Research—to give values with exact inputs.

Round   ▪ Floor   ▪ Ceiling   ▪ IntegerPart   ▪ FractionalPart

MixedFractionParts — integer and fractional parts of a mixed fraction

Min , Max — minimum, maximum of numbers or lists

RealAbs — absolute value of real numbers

RealSign — sign of real numbers (, , )

Abs — absolute value of complex numbers

Sign — sign of complex numbers

Clip — clip to between and or other limits

Rescale — rescale to run between and

Chop — chop small values to

Threshold — set values in a list below a threshold to 0.

LogisticSigmoid — sigmoid function

Unitize — 0 for x0, and 1 otherwise

UnitStep — 0 for x<0, and 1 for x≥0

Ramp — for , and for

UnitBox   ▪ UnitTriangle

Piecewise — general piecewise function

Boole — 1 for True , 0 for False

DiscreteIndicator — indicator function for a discrete set

Less (< )  ▪ Greater (> )  ▪ LessEqual (<= )  ▪ GreaterEqual (>= )

NumericalOrder — give -1, 0, +1 for less, equal, greater

SquareWave   ▪ TriangleWave   ▪ SawtoothWave

Integer Functions »

IntegerQ — test whether an expression is an integer

Mod   ▪ Quotient   ▪ GCD   ▪ ModularInverse   ▪ ...

Related Tech Notes

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• Numerical Functions

Related Guides

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• Complex Numbers
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• Integer Functions
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• Representation of Numbers

Related Links

• Demonstrations related to Numerical Functions (Wolfram Demonstrations Project)