As we begin a new semester following a hopefully restful winter break, I have been thinking about the various concepts of stability, a term often used in mathematics and invoked to describe many ...

Learn how to find the equation of a tangent line to a function using calculus. This video simplifies the process with step-by-step explanations, helping you understand derivatives, slopes, and tangent ...

Google's Genie generates infinite interactive worlds from text. The secret? AI models compress reality's rules into ...

The FIND function allows you to find a text string within another. It returns the position at which a character or string begins within another text string. The output of the above function will be 5, ...

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 ...

A student takes a math class to study for the STAAR state standardized tests in this archive photo. Ron Jenkins Star-Telegram file photo Are you an accountant who plugs functions into spreadsheets to ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

Most people probably don’t think of mathematics when they hear “busy beavers.” But these eager little animals symbolize one of the most amazing concepts of the knotty field: not everything can be ...

People usually talk about the race to the bottom in artificial intelligence as a bad thing. But it’s different when you’re discussing loss functions. Loss functions are a crucial but frequently ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...