Probabilistic reasoning is central to many theories of human cognition, yet its foundations are often presented through abstract mathematical formalisms disconnected from the logic of belief and ...

Nick Trefethen, professor of applied mathematics in residence at Harvard University, will present the 2025 Russell E. Marker Lectures in Mathematics, collectively titled “Numerical Rational Functions, ...

Nature Research Intelligence Topics enable transformational understanding and discovery in research by categorising any document into meaningful, accessible topics. Read this blog to understand more ...

Two methods are discussed which result in near minimax rational approximations to the exponential function and at the same time retain the desirable property that the approximation for negative values ...

ABSTRACT: This work’s aim is to participate in local materials (raw or fiber improved), which can be used in sustainable and accessible buildings to every Senegalese. To do this, studied materials are ...

With the introduction of the AAA algorithm in 2018 (Nakatsukasa-Sete-T., SISC), the computation of rational approximations changed from a hard problem to an easy one. We've been exploring the ...

This note describes a rational approximation for the error function which has been found useful in a subroutine as an asymptotic expression of improved accuracy ...

Abstract: This paper presents an alternative vector fitting (VF)-based approach to generate a rational model of nonlinear system behaviors. The proposed approach, named here as nonlinear VF (NL-VF), ...

spectral-fit.jl contains the code we used to do spectral fitting, including functions to generate some plots from the manuscript. example-functions.jl contains example functions which the rational ...

The impedance of power lines is influenced by geological conditions and skin effect, resulting in frequency-dependent characteristics. In this study, a centralized parameter frequency-dependent line ...