In this math tutorial, we discuss the essential formulas for functions in precalculus, which are also highly relevant for ...

A ripple tells you something happened, but not exactly what. That is the core problem behind a hard class of equations that ...

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

In the last episode of my column in Notices of the American Mathematical Society, we looked at a particle moving in an attractive central force whose strength is proportional to the inverse cube of ...

GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...

AI-generated summary reviewed by our newsroom. Read our AI Policy. DPI proposes Math 3 be optional; final two courses offer flexible choices. Revised Math 1 and 2 will teach essential skills needed ...

A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...

In this video I will go through my notes to explain how to determine the inverse of a function. We will mainly focus on linear, quadratic, square root, cube root, and cubic functions. I make short, to ...

Teachers and students’ initial feedback indicated that the paper was moderately difficult, with many candidates highlighting Section D – the long-answer portion – as the most demanding part of the ...

Abstract: This paper presents new inverse modeling for synchronous reluctance motor (SyRM). This modeling is valid when the inductances are sinusoidal or nonsinusoidal and even when the machine is ...