Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...

Unicode: F361. Alias: Esc pw Esc. Prefix operator with built-in evaluation rules. Grid[{{e_1, c_1}, {e_2, c_2}}] is by default interpreted as ...

Turning conditions into numbers. Boole[expr] is a basic function that turns True and False into 1 and 0. It is sometimes known as the characteristic function or indicator ...

$MaxPiecewiseCases gives the maximum number of cases to allow in explicit Piecewise objects generated by expanding any single piecewise function.

PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function. PiecewiseExpand[expr, assum] expands piecewise functions using ...

Nested logical and piecewise functions can be expanded out much like nested arithmetic functions. You can do this using LogicalExpand and PiecewiseExpand. Expanding out ...

The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...

InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.

SplicedDistribution[{w_1, w_2, ..., w_n}, {c_0, c_1, ..., c_n}, {dist 1, dist_2, ..., dist_n}] represents the distribution obtained by splicing the distributions dist_1, ...

InterpolationOrder is an option for Interpolation, as well as ListLinePlot, ListPlot3D, ListContourPlot, and related functions, that specifies what order of interpolation to ...