Introduction: The domain of a function is the set of all possible input values (x-values) for which the function is defined. Understanding the domain is crucial for solving mathematical problems and ...

Abstract: The canonical representation of piecewise-linear (PWL) functions provides a global compact formulation of continuous PWL functions, which has significant advantages in the research and ...

Abstract Given an o-minimal structure expanding the field of reals, we show a piecewise Weierstrass preparation theorem and a piecewise Weierstrass division theorem for definable holomorphic functions ...

Abstract: Physical systems are inherently non-linear in nature and are defined by piece-wise smooth or non-smooth functions to study and analyze bifurcation phenomena. This bifurcation phenomena could ...

Numerical integration of a piecewise function takes ages if the range of integration contains more than one region of the piecewise defined function: 3.08205246495229 CPU times: user 445 ms, sys: 0 ns ...

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I noticed that some piecewise function cannot be plotted (i know this is an old issue and it has been solved). But for the following function I get an error: TypeError: '<' not supported between ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...