Why do some melodies feel instantly right, balanced, memorable and satisfying, even if you have never heard them before? New research from the University of Waterloo suggests that more than creativity ...

A mystery novel, a history book, and a fantasy epic may have little in common in plot or style. But count the words inside them and a strange regularity appears: many new words show up early, then ...

At CSU Long Beach, roughly one-quarter of first-year students never complete a degree. While graduation rates have improved over time, substantial skills gaps remain, and many students find themselves ...

A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...

Many of the irrational and transcendental functions are multiply defined in the complex domain; for example, there are in general an infinite number of complex values for the logarithm function. In ...

About a year ago, an AI startup known as Recogni announced a patented number system for AI math, known as Pareto. Pareto is a logarithmic system, meaning that it stores numbers using their logarithmic ...

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 ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

The original version of this story appeared in Quanta Magazine. David Bessis was drawn to mathematics for the same reason that many people are driven away: He didn’t understand how it worked. Unlike ...