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 ...

Losing your phone can leave you in panic mode, especially when the battery dies. The good news is that both Apple and Android offer built-in tools that help you track a missing device even when it is ...

ABSTRACT: We propose a new section-averaged one-dimensional model for blood flows in deformable arteries. The model is derived from the three-dimensional Navier-Stokes equations, written in ...

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.

From misplaced AirPods to missing luggage, Apple's Find My app has quietly become one of the most essential tools in the Apple ecosystem — and recent updates make it more powerful than ever. Here's ...

We all lose our gadgets every once in a while. Finding them isn’t always straightforward, especially if they have been stolen or left behind in a different place. Likewise, if it’s nestled between the ...

Take advantage of the MethodImplAttribute class in C# to inline methods and improve the execution speed of your .NET applications. The Just-In-Time (JIT) compiler is a component of the Common Language ...

The importance of using reward-based methods to train dogs is widely known, yet some people still use aversive methods. By definition, both reward-based and aversive methods work to change behavior, ...

Either way, let’s not be in denial about it. Credit...Illustration by Christoph Niemann Supported by By Kevin Roose and Casey Newton Kevin Roose and Casey Newton are the hosts of The Times’s “Hard ...