Differential Galois theory extends the classical study of algebraic symmetries into the realm of differential equations. This area investigates the relationship between a differential equation’s ...

Rough path theory provides a rigorous framework to analyse differential equations driven by highly irregular signals, such as those encountered in stochastic differential equations (SDEs). By ...

A mathematical statistical model is needed to obtain an option prime and create a hedging strategy. With formulas derived from stochastic differential equations, the primes for US Dollar/Chilean Pesos ...

This repository presents a mathematical approach to creating living documentation for software systems. By applying graph theory, Homotopy Type Theory (HoTT), and the Friendship Theorem, we transform ...

As a first endeavor, bending analysis of tapered nano wires with circular cross section is investigated. In this research, nonlocal elasticity theory based on Euler-Bernoulli beam theory is used to ...

A tersely annotated collection of references on types of approaches used in currently available methods to solve the general linear, first-order ordinary differential equation is presented, and ...

Abstract: With the development of intelligent transportation systems, traffic flow prediction on complex traffic networks has become increasingly important, particularly in urban management and ...

Abstract: In the fields of traffic flow prediction and other intelligent forecasting applications, the technology of multivariate time series forecasting using graph neural networks (GNNs) is ...