Abstract: The Gaussian elimination (GE) is an important direct method that transforms the initial linear system into an equivalent upper triangular system, which is straightforward to solve. To ensure ...

One of the fundamental operations in machine learning is computing the inverse of a square matrix. But not all matrices have an inverse. The most common way to check if a matrix has an inverse or not ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

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 ...

I tried "6-to-1" method for buying groceries to see if it'd save me money and make my life easier. The method focuses on picking up a few ingredients to make a mix of meals throughout the week. I ...

At crime scenes around the world, the forensic entomologist Paola Magni is taking her field into uncharted waters By Jordan Michael Smith Photographs by Guido Gazzilli and Claire Martin Paola Magni in ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of the linear support vector regression (linear SVR) technique, where the goal is to predict a single numeric ...

Jim Sanborn’s inbox is flooded with amateur cryptographers who say they’ve cracked the code with chatbots like Grok 3. SIGN UP for Plaintext to read the whole thing, and tap Steven's unique insights ...

Do you get nervous and ramble during interviews? Or do you worry about what details to include and what to leave out when explaining your experience? Understanding and applying the STAR interview ...

To the extent that you’re familiar with magnetostriction, you probably know that it’s what makes big transformers hum, or that it’s what tips you off if you happen to walk out of a store without ...