A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...
Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...
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 ...
The iPad Calculator app has introduced an innovative feature called Math Notes, designed to enhance how you interact with mathematical equations. By integrating handwriting recognition, real-time ...
Several major retailers in the U.S. use a century-old accounting practice known as “the retail inventory method,” which relies on retail prices to estimate inventory, even though it fails to take full ...
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: This study aimed at comparing the rate of convergence and performance of Newton-Raphson and Regula-Falsi method for solving the nonlinear equations. To solve nonlinear equations, two ...
Abstract: This paper presents a new coupling matrix synthesis method. The method synthesizes a coupling matrix by moving poles and zeros to their own target positions in the complex plane.
Neural networks have been widely used to solve partial differential equations (PDEs) in different fields, such as biology, physics, and materials science. Although current research focuses on PDEs ...