Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are ...

Quadratic equations are essential in the world of mathematics and can often form barriers for students in their mathematical journeys. These equations, represented by ax² + bx + c = 0, may seem ...

Abstract: In this article, we propose an efficient numerical method to solve nonlinear filtering (NLF) problems. Specifically, we use the tensor train decomposition method to solve the forward ...

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

France’s trove of DNA profiles has helped solve high-profile crimes and was used to find some of the Louvre suspects, and it is growing. The police can also access other countries’ databases. By ...

A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems. A mathematician has developed an algebraic solution to an equation that was ...

A mathematician at UNSW Sydney has introduced a groundbreaking method to solve one of algebra’s oldest unsolved problems: equations with variables raised to the fifth power or higher. Honorary ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...

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 ...