Abstract: Discrete time-variant equation systems represent a typical and complex problem across various disciplines. With the increasing complexity of systems in various fields, traditional methods ...

Marcus du Sautoy uses combinations of peaches and plums and a set of scales, to show how simultaneous equations can be solved. This method didn’t appear in the West until the 19th century, but had ...

Researchers at the University of California, Los Angeles (UCLA) have developed an optical computing framework that performs ...

UCLA researchers demonstrate diffractive optical processors as universal nonlinear function approximators using linear ...

Nonlinear optical (NLO) materials play a vital role in modern photonic technology, driving advancements in applications such ...

Approximate solutions to more complex equations can be found using a process called iteration. Iteration means repeatedly carrying out a process. To solve an equation using iteration, start with an ...

The authors used a Bayesian modeling framework to fit behavior and serotonin neuron activity to reward history across multiple timescales. A key goal was to distinguish value coding from other ...

In microbiome studies, addressing the unique characteristics of sequence data—such as compositionality, zero inflation, overdispersion, high dimensionality, and non-normality—is crucial for accurate ...

Abstract: In this paper, fractional order implicit dynamics (FOID) is first proposed and investigated for solving time-varying linear matrix equation $A(t) X(t) B(t ...

This repository provides a solution to the standard Capacitated Vehicle Routing Problem with Time Windows (CVRPTW). In a CVRPTW, we aim to optimize the routes of a fleet of vehicles serving customers ...