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Numerical Functions
Throughout Mathematica 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.
Reference
Round ▪ Floor ▪ Ceiling ▪ IntegerPart ▪ FractionalPart
Min, Max — minimum or maximum of numbers or lists
Abs — absolute value
Sign — sign (
, 
, 
)
Clip — clip to between 
and 
or other limits
Rescale — rescale to run between 
and 
Chop — chop small values to 
Unitize — 0 for x
0, and 1 otherwise
UnitStep — 0 for 
, and 1 for 
Piecewise — general piecewise function
Boole — 1 for True, 0 for False
DiscreteIndicator — indicator function for a discrete set
Less(<) ▪ Greater(>) ▪ LessEqual(<=) ▪ GreaterEqual (>=)
SquareWave ▪ TriangleWave ▪ SawtoothWave
Integer Functions »
IntegerQ — test whether an expression is an integer
