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piecewise linear function : ウィキペディア英語版
piecewise linear function

In mathematics, a piecewise linear function is a function composed of straight-line sections. It is
a piecewise-defined function whose pieces are affine functions.
If the function is continuous, the graph will be a polygonal curve.
==Examples==

The function defined by:
:f(x) = \begin
-x-3 & \textx \leq -3 \\
x+3 & \text-3 < x < 0 \\
-2x+3 & \text0 \leq x < 3 \\
0.5x-4.5 & \textx \geq 3
\end
is piecewise linear with four pieces. (The graph of this function is shown to the right.) Since the graph of a linear function is a line, the graph of a piecewise linear function consists of line segments and rays.
Other examples of piecewise linear functions include the absolute value function, the square wave, the sawtooth function, and the floor function.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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