Abstract: Artificial intelligence and nearly all its subfields include machine learning and deep learning in operations with the closings being a vital aspect across disciplines including solving ...

Physics-aware machine learning integrates domain-specific physical knowledge into machine learning models, leading to the development of physics-informed neural networks (PINNs). PINNs embed physical ...

This repo provides a MATLAB example code for the lid-driven cavity flow where incompressible Navier Stokes equation is numerically solved using a simple 2nd order finite difference scheme on a ...

Learn how to create slope fields and sketch the particular solution to a differential equation. Slope fields are tools used to graphically obtain the solutions to a differential equation. It is the ...

Gerd Faltings shocked mathematicians around the world for his 1983 proof of the Mordell conjecture, which brought together ...

Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.

Erdos, explores what researchers call autoformalization, the process of converting traditional mathematical proofs into ...

Abstract: This paper presents a mathematical model of blood pressure regulation described by a system of delay differential equations. The model incorporates two key physiological mechanisms - the ...

The current paper is mainly devoted for solving centrosymmetric linear systems of equations. Formulae for the determinants of tridiagonal centrosymmetric matrices are obtained explicitly. Two ...

This study presents DeepTX, a valuable methodological tool that integrates mechanistic stochastic models with single-cell RNA sequencing data to infer transcriptional burst kinetics at genome scale.