Piecewise

Piecewise({{subFunction1, subDomain1}, {subFunction2, subDomain2},...})

A piecewise-defined function is a function which is defined by multiple sub functions, each sub function applying to a certain interval of the main function's domain (a sub-domain).

See:

• Wikipedia - Piecewise

Examples

The piecewise definition of the absolute value function:

>>> Piecewise({{-x, x<0}, {x, x>=0}})/.{{x->-3}, {x->-1/3}, {x->0}, {x->1/2}, {x->5}}
{3,1/3,0,1/2,5}