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 ...

As AI automates more knowledge work, the organizations that thrive will be those that master human relationships. Matrix organizations present well-known challenges: difficulty influencing across ...

Following criticism of the company’s use of Chinese workers to advise on operation of Department of Defense cloud systems, Microsoft has changed its policy. Microsoft has moved to exclude engineers in ...

OpenAI said it, too, had built a system that achieved similar results. By Cade Metz Reporting from San Francisco An artificial intelligence system built by Google DeepMind, the tech giant’s primary ...

These days, everyone seems to have an opinion about A.I. companions. Last year, I found myself joining the debate, publishing a paper—co-written with two fellow psychology professors and a philosopher ...

Abstract: The time-dependent nature of real-world problems and the ubiquity of linear equations underscore the fundamental importance of time-dependent systems of linear equations (TDSLE). However, ...

Abstract: Coprime pairs of integer matrices have applications in various fields, including multirate systems and multidimensional signal processing. This paper addresses problems related to coprime ...

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 mathematician has uncovered a way of answering some of algebra's oldest problems. University of New South Wales Honorary Professor Norman Wildberger, has revealed a potentially game-changing ...

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 ...