Finding the domain or a function can be confusing, in this video I cover something students commonly forget when dealing with ...

This problem looks simple but if you look a little deeper you will see that there are some small changes that regularly trips ...

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

Mathematicians just made a big leap forward on one of the field’s all-time favorite problems. Curves—squiggly lines through space, such as a comet’s trajectory or a stock market trend—are some of math ...

Abstract: In this paper we consider the problem of sparse signal modeling by means of rational functions. Our dictionary is composed by a finite collection of elementary rational functions. In order ...

Note: The article usage is presented with a three- to four-day delay and will update daily once available. Due to ths delay, usage data will not appear immediately following publication. Citation ...

I have had a fascinating few months. “Abundance,” the book I wrote with Derek Thompson, is either going to save the Democratic Party or destroy it. You think I’m kidding. Here’s The Wall Street ...

It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question. In June 1978, the ...

Modification of natural enzymes to introduce new properties and enhance existing ones is a central challenge in bioengineering. This study is focused on the development of Taq polymerase mutants that ...

Hair loss can occur when the thyroid gland is not working properly. It can be a sign of either hypothyroidism or hyperthyroidism. The thyroid gland is a butterfly-shaped gland situated in the lower ...