In multivariable calculus, functions can depend on multiple variables. Evaluating these functions involves substituting values for all the variables. For example, if f (x, y) = x² + ...

Google on Wednesday (12 November) featured a special Doodle celebrating the quadratic equation, one of mathematics' most fundamental formulas that has shaped everything from engineering to economics.

An apparently easy-looking math problem has left internet users scratching their heads. The elementary-grade problem looks simple enough to solve in seconds, but has tripped up the masses. The basic ...

Differential equations are the backbone of mathematical modeling, describing relationships between a function and its derivatives. They appear everywhere, from physics and engineering to economics and ...

Marshall Hargrave is a stock analyst and writer with 10+ years of experience covering stocks and markets, as well as analyzing and valuing companies. Gordon Scott has been an active investor and ...

Differential analysis requires you to think about all the potential solutions to a particular business opportunity to determine which one is the most cost-effective. By analyzing the cost and revenue ...

Abstract: A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as ...

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 ...

Abstract: This paper studies a linear-quadratic optimal control problem derived by forward-backward stochastic differential equations, where the drift coefficient of ...

"Even the +, −, =, and x signs we take for granted only came into widespread use in the 17th century. Which means that the earlier algebraists we know of … all had expressed their equations mostly in ...