The Hadamard expansion procedure applied to Laplace-type integrals taken along contours in the complex plane enables an exact description of the method of steepest ...

In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...

A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

Researchers design proteins from scratch with predictable structures. You have full access to this article via your institution. Proteins are an enormous molecular achievement: chains of amino acids ...

Scientists have long debated the merits and risks of tinkering with viruses and bacteria, which the president claims caused the coronavirus pandemic. By Carl Zimmer and Emily Anthes President Trump ...