Update: YouTube issued an update noting that the homepage was back, but the team was working on a ‘full fix’. YouTube was reportedly down. (Unsplash) “An issue with our recommendations system ...

Researchers used algebra and geometry together to solve an old random walk problem. Random walk ideas have informed everything from biology to video games. This team identified a key geometry idea ...

Abstract: Nonsmooth phenomena, such as abrupt changes, impacts, and switching behaviors, frequently arise in real-world systems and present significant challenges for traditional optimal control ...

Master pendulum dynamics with **“Solve Ball Swinging Problems With Two Strings Like A Pro.”** This tutorial walks you step by step through analyzing and solving problems involving a ball suspended by ...

Master classical mechanics with **“Two Blocks Connected By String | Physics Problem Solved.”** In this tutorial, we solve a classic physics problem step by step, analyzing two blocks connected by a ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Abstract: Since its first use by Euler on the problem of the seven bridges of Königsberg, graph theory has shown excellent abilities in solving and unveiling the properties of multiple discrete ...

We look into the mental health crisis affecting American youth. By Sam Sifton I am the host of The Morning. The numbers are staggering. Nearly one in four 17-year-old boys in the United States has ...

With more than a decade of experience, Nelson covers Apple and Google and writes about iPhone and Android features, privacy and security settings, and more. As the holidays approach, millions of ...