Cheng, R. , Liu, J. , Hao, L. and Wu, D. (2026) On the Application of the Infinitesimal Method to Two Categories of Problems in College Physics. Open Journal of Social Sciences, 14, 378-389. doi: ...

By Senyo K. HosiOne of the memories of Jesus that continue to baffle me is his first miracle. Why on earth did he not heal ...

Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

OpenAI said it, too, had built a system that achieved similar results. By Cade Metz Reporting from San Francisco An artificial intelligence system built by Google DeepMind, the tech giant’s primary ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

This article delves into the applications of fractional calculus, an extension of classical calculus that introduces non-integer derivative orders. The primary focus of this research is to present a ...

To learn math, students must build a mental toolbox of facts and procedures needed for different problems. But students who can recall these foundational facts in isolation often struggle to use them ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Abstract: Solving system of non-linear equation is a general purpose problem that can be applied to real-time applications. Although there are several methods like Newton-Raphson method, secant method ...

Systems of equations are sets of multiple equations that share common variables and are solved simultaneously. Mastering the various methods for solving these systems is crucial to understanding ...