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%ما هو (من)٪ 1 - تعريف
Piecewise linear manifold
![[[PDIFF]] serves to relate DIFF and PL, and it is equivalent to PL.](https://commons.wikimedia.org/wiki/Special:FilePath/PDIFF.svg?width=200 "[[PDIFF]] serves to relate DIFF and PL, and it is equivalent to PL.")
TOPOLOGICAL MANIFOLD WITH A PIECEWISE LINEAR STRUCTURE ON IT.
Piecewise-linear manifold; PL manifold; PL structure; PL-manifold; Piecewise linear structure; Piecewise-linear structure; PL-structure; PL homeomorphism; Piecewise linear homeomorphism
In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise linear functions.
Piecewise linear function
![Example of crop response to soil salinity<ref>[https://www.waterlog.info/partreg.htm A calculator for partial regression].</ref>](https://commons.wikimedia.org/wiki/Special:FilePath/Mustard segm regr no effect.png?width=200 "Example of crop response to soil salinity<ref>[https://www.waterlog.info/partreg.htm A calculator for partial regression].</ref>")
REAL-VALUED FUNCTION COMPOSED OF STRAIGHT LINE SEGMENTS
Piecewise linear map; Piecewise-linear map; Polyhedral convex function; Piecewise Linear Function; Piecewise-linear function; PL function; Approximating curve; Line segment fit; Piecewise affine function
In mathematics and statistics, a piecewise linear, PL or segmented function is a real-valued function of a real variable, whose graph is composed of straight-line segments.
Piecewise
FUNCTION WHICH IS DEFINED BY MULTIPLE SUB-FUNCTIONS EACH OVER ITS OWN INTERVAL
Piecewise function; Piecewise defined function; Piecewise continuously differentiable path; Piecewise continuous; Piecewise continuously differentiable; Piecewise smooth; Piecewise differentiable; Piecewise (mathematics); Piecewise-continuous; Piecewise continuity; Piecewise functions; Piecewise polynomial; Piecewise-defined function; Cartoon-like function
In mathematics, a piecewise-defined function (also called a piecewise function, a hybrid function, or definition by cases) is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piecewise definition is actually a way of expressing the function, rather than a characteristic of the function itself.
