The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

ABSTRACT: The iteration of one-dimensional holomorphic functions allows a definition of conductivity plateaus and charge quanta which are related to nontrivial zeros of the Riemann zeta function and ...

Abstract: We consider a generalization of the Laplace transform of Poisson shot noise defined as an integral transform with respect to a matrix exponential. We denote this as the matrix Laplace ...

Sometimes a movie is more than a movie. The Matrix, which came out in 1999, was a science-fiction hit, but it also contained a disturbing image of reality. People went through their everyday lives not ...

Graph Transformers (GTs) have successfully achieved state-of-the-art performance on various platforms. GTs can capture long-range information from nodes that are at large distances, unlike the local ...

Warner Bros. is ready to re-enter The Matrix. A new "Matrix" film is in the works at Warner Bros. Pictures, with Drew Goddard ("The Cabin in the Woods") set to write and direct, the studio revealed on ...

Approximate a sine function where $x = 1$ with a maximum of 50 function evaluations. The Laplace transform of sine is $h^*(s) = 1 / (s^2 + 1)$. This crate parses a ...

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form ...

Abstract: A limiting property of the matrix exponential is proven: if the (1,1)-block of a 2-by-2 block matrix becomes “arbitrarily small” in a limiting process, the matrix exponential of that matrix ...

Recent work uses a simplistic approximation to the matrix exponential derivative to apply gold-standard models from evolutionary biology to a collection of challenging data analyses. Whereas one may ...