High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration. This ...

Abstract: Solving time-varying algebraic Riccati equations (TVAREs) is crucial in sound source tracking and optimal control. It is worth noting that previous studies have focused primarily on solving ...

Abstract: This article aims to develop a general and designable distributed algorithm for solving linear algebraic equations (LAEs), which departs from the design framework based on orthogonal ...

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

Problems are often answered in mathematics by solving equations. To solve them, we need to find what number the letter in the equation represents. That number is called the solution of the equation.

This paper observes approaches to algebraic analysis of GOST 28147-89 encryption algorithm (also known as simply GOST), which is the basis of most secure information systems in Russia. The general ...

Removing brackets is to multiply the term outside the brackets by each term inside - also known as the distributive law. Use FOIL to remove a pair of brackets then simplify by collecting like terms.

One of the landmarks of Kyoto, the home of Japanese mathematician Masaki Kashiwara, is the Kamo River. At certain points, there are stepping stones that allow residents to cross the river away from ...