The stock market is the largest crowd there is, but like any crowd it is wise only under certain conditions. Understanding those conditions explains both why markets are so hard to beat and where they ...

A new mathematical framework, built on a branch of number theory called adelic analysis, has produced a complete proof of the ...

A deterministic proof seems within reach, until composite numbers start masquerading as primes. This video traces how ...

👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the ...

It’s hard to ignore the seismic shifts brought about by algorithm-driven content. Every time you scroll through your social media feed or check your favorite news app, algorithms are diligently at ...

Abstract: When a conventional optimization algorithm is applied to diverse problems, the performance is not guaranteed because the optimization algorithm is tuned properly to a specific problem. To ...

Abstract: In this paper, we investigate complex-valued Chinese remainder theorem (C-CRT) with erroneous remainders, where the moduli are Gaussian integers and the errors follow wrapped complex ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

Last year, fashion publications wrote extensively about the impact of the algorithm on personal style. (Vogue Business included.) In last year’s fashion conversation, ‘the algorithm’ surpassed its ...

Given any algorithm for convex optimization that uses exact first-order information (i.e., function values and subgradients), we show how to use such an algorithm to solve the problem with access to ...