A MECHANICAL calculating machine for solving simultaneous linear equations up to ten in number under construction at the Massachusetts Institute of Technology by Drs. V. Bush and J. B. Wilbur was ...

Abstract: This paper proposes a novel non-iterative method to solve power system differential algebraic equations (DAEs) using the differential transformation, which is a mathematical tool able to ...

The Madelung Equations are a set of equations proposed by Erwin Madelung in 1926 to describe a more physical interpretation of the Schrödinger Equation. Notably, Madelung's analysis resulted in a set ...

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 study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

Are you struggling to solve quadratic equations? Look no further than the “Almighty Formula,” a powerful mathematical tool that can crack even the toughest quadratic puzzles. In this article, you will ...

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: We present in this paper a fully distributed algorithm for simultaneous positioning of cooperative aircraft and distributed tracking of a noncooperative target. We model the probability of ...

Two secret agents need to meet for the very first time. They don’t know anything about each other—can’t even be sure that they live in the same hemisphere—and they will recognize the other agent when ...