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Piecewise Function

Usage

Piecewise[{{val1, cond1}, {val2, cond2}, ...}] represents a piecewise function with values vali in the regions defined by the conditions condi. 
Piecewise[{{val1, cond1}, ...}, val] uses default value val if none of the condi apply. The default for val is 0.

Basic examples

Basic examples

Notation

piecewise

Operator input form precedence

piecewise e_1 invisible comma 1 | e_1 invisible comma 2
e_2 invisible comma 1 | e_2 invisible comma 2
... | | Piecewise[{{e_1 invisible comma 1, e_1 invisible comma 2}, {e_2 invisible comma 1, e_2 invisible comma 2}, ...}]
expr::string | MessageName[expr, "string"]
expr::string_1::string_2 | MessageName[expr, "string_1", "string_2"]
# | Slot[1]
## | SlotSequence[1]
#n | Slot[n]
##n | SlotSequence[n]
⋮
(grouped in order of decreasing precedence)

Attributes

HoldAll | Protected | ReadProtected

Relationships with other entities

PiecewiseExpand | $MaxPiecewiseCases | Boole | Max | Min | RealAbs | Abs | RealSign | Sign | Clip | Ramp | UnitStep | UnitBox | UnitTriangle | Floor | Ceiling | Round | IntegerPart | Mod | SquareWave | TriangleWave | BezierFunction | BSplineFunction | Which | If

Relationships with other entities

Typical ranks of usage in programs

239th most common (1 in 7140 symbols)

297th most common (1 in 7800 symbols)

387th most common (1 in 5730 symbols)

History

introduced in Version 5.1 (October 2004)
last modified in Version 7 (November 2008)

Timeline

Timeline

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