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 ...

Graphing a piecewise defined function might seem daunting at first, but breaking down the process into manageable steps can make it significantly easier. A piecewise function, as the name suggests, is ...

Commonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and ...

A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a large number of set intervals, it is ...

Abstract: Neuron tracing from optical image is critical in understanding brain function in diseases. A key problem is to trace discontinuous filamentary structures from noisy background, which is ...

Anyone who’s taken classes in geometry, algebra, trigonometry or other advanced math forms has certainly encountered the graphing calculator before. These multi-function devices make incredibly ...

Abstract: The present paper mainly discuss the classification of continuous and discontinuous functions of unbounded variation on closed intervals. The classification of functions of bounded variation ...