👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the ...

👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative ...

This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, ...

Abstract: In this paper, using the concept of horizontal membership functions, a new definition of fuzzy derivative called granular derivative is proposed based on granular difference. Moreover, a new ...

Abstract: There exists an abundance of systems and algorithms for multiple target detection and tracking in video, and many measures for evaluating the quality of their output have been proposed. The ...

It is shown that a continuous function which Riemann is said to have believed to be nowhere differentiable is in fact differentiable at certain points. Note: The article usage is presented with a ...

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed.

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Hello, Thanks for your seminal work. As a beginner in differentiable physics, I have been studying your papers and code and have a question regarding the treatment of differentiability in the ...