Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Many people believe that mixing two toilet cleaners will give a “stronger” clean, especially when dealing with tough bathroom stains. But here’s the thing: combining cleaning products can do more harm ...

Work/life balance is at best an elusive ideal and at worst a complete myth, today’s senior executives will tell you. But by making deliberate choices about which opportunities they’ll pursue and which ...

Abstract: This paper presents a novel neural network-based optimization framework, NNDE, to solve the traveling salesman problem (TSP). The core idea is to use a radial basis function network (RBFN) ...

Abstract: Physics-informed neural networks (PINNs) have recently been utilized to tackle wave equation-based forward and inverse problems. However, they encounter challenges in accurately predicting ...

We consider particle oscillations and their damping in second-quantized form. We find that the damping or "decoherence" may be described by a Boltzmann-like collision integral with "non-abelian ...

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