Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

You'll be more productive if you can see what you need to do, and when you need to do it. This assessment and productivity tool is named for former president Dwight Eisenhower, who once quoted Dr. J.

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 ...

Left: Artistic impression of metal spheres buried in small glass beads. Middle: Conventional ultrasound picture. Right: With the new technology, the positions of the metal spheres can be precisely ...

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 the easiest pieces first. But this kind of sorting has a cost.

Streaming has undoubtedly changed how we watch movies. While nothing can replace the theatrical experience, the pros of streaming ultimately outweigh the cons. That being said, the prices are getting ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

For centuries prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help them identify primes and the way they are distributed among other ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

Breakthroughs, discoveries, and DIY tips sent every weekday. Terms of Service and Privacy Policy. Most people’s experiences with polynomial equations don’t extend ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...