Abstract: In this work, we extend the simplex algorithm of linear programming for finding a local minimum of a concave quadratic function subject to box constraints. In order to test the performance ...

A teenager who uses cannabis only occasionally might not see it as a big deal. Their parents might not either. But new national data suggests that even infrequent use is linked to significant problems ...

In 1945, as the first atomic bomb exploded in the New Mexico desert, Enrico Fermi stood miles away, holding a few scraps of paper. As the shockwave rolled toward him, he dropped the papers and watched ...

A burst of experimentation followed ChatGPT's release to the public in late 2022. Now many people are integrating the newest models and custom systems into what they do all day: their work. Chefs are ...

Deputy Director, Healthy Brain and Mind Research Centre Program Lead, Neuroscience of Addiction and Mental Health Program, Australian Catholic University Wayne Hall has in the past five years been ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

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 ...

The original version of this story appeared in Quanta Magazine. For computer scientists, solving problems is a bit like mountaineering. First they must choose a problem to solve—akin to identifying a ...

Recently, Microsoft warned that if you install Windows 11 on an unsupported device, you risk voiding the manufacturer’s warranty and you won’t receive any updates. Well, if you’re in this situation, ...