The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of such methods since ...

This Olympiad-style exponential problem looks simple at first — until you try solving it. Test your skills and see if you can crack it before I walk through the clever solution step-by-step. Trump ...

Ready to unlock your full math potential? 🎓Subscribe for clear, fun, and easy-to-follow lessons that will boost your skills, build your confidence, and help you master math like a genius—one step at ...

For patients with amputations affecting the hand, toe transfer surgery provides an alternative to replanting the amputated digits and may lead to greater improvement in hand function and other key ...

Word problems are often described as “math stories” and can put complex mathematical operations into a more approachable form for students. But students often struggle when they see a combination of ...

Could a gene regulatory network in gut microbes have evolved its elaborate and tightly regulated molecular machinery only to pump out antibiotics indiscriminately? Researchers from the Institute of ...

This research was supported in part by the U.S. Air Force under Contracts AF 49(638)-382 and AF 33(657)-8559 as well as by the National Aeronautical and Space Administration under Contract NASr-103.

Introduction: The SIR (Susceptible-Infected-Recovered) model is one of the simplest and most widely used frameworks for understanding epidemic outbreaks. Methods: A second-order dynamical system for ...

Accurately approximating higher order derivatives is an inherently difficult problem. It is shown that a random variable shape parameter strategy can improve the accuracy of approximating higher order ...

It’s actually really simple! Here’s how to use Microsoft Word to check if a document might’ve been copied from the internet: Load the document into Word and open the Review tab in the ribbon. On the ...