There you are in your introductory physics course. The course requirements say that you have to be in Calculus 101 (it's probably not called that) in order to enroll in Physics 101. Why? There are two ...

Transactions of the American Mathematical Society, Vol. 263, No. 2 (Feb., 1981), pp. 493-500 (8 pages) Let $\Delta'$ be the class of all derivatives. The main goal of this paper is the investigation ...

Let A → Ar be the map that takes a positive definite matrix to its rth power, and let DAr be the Fréchet derivative of this map. It is known that ∥DAr∥ = ∥rAr−1∥ if r ≤ 1 or if r ≥ 2, and also that ...

Inositols are ancient molecules that were probably first made by a common ancestor of Archaea and Eukarya more than 2,000 million years ago. They are used by relatively few Bacteria.The ...

Automatic Differentiation (AD) forms a cornerstone in the optimisation of machine learning models, providing an efficient computational method to obtain accurate derivatives. This technique underpins ...