Abstract: As some of the objective functions are piecewise, so they are non-differentiable at specific points which have a significant impact on deep network rate and computational time. The ...

Let's delve into the fascinating world of piecewise functions, focusing specifically on those exhibiting discontinuous domains. While often perceived as complex, these functions are powerful tools for ...

A piecewise relation, at its core, is a relation that is defined by multiple sub-relations, each applying to a certain interval of the domain. These sub-relations are essentially different equations ...

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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: 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 ...

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