ABSTRACT: In this paper, we consider the model updating problem of the undamped vibroacoustic system with no spill-over (MUP-UVA), which is to update the original system to a new system such that some ...

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 ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems. A mathematician has developed an algebraic solution to an equation that was ...

Breakthroughs, discoveries, and DIY tips sent six days a week. Terms of Service and Privacy Policy. Most people’s experiences with polynomial equations don’t ...

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 ...

ABSTRACT: This paper addresses tensile shock physics in thermoviscoelastic (TVE) solids without memory. The mathematical model is derived using conservation and balance laws (CBL) of classical ...

In new research, mathematicians have narrowed down one of the biggest outstanding problems in math. Huge breakthroughs in math and science are usually the work of many people over many years. Seven ...

Abstract: The problem of denoising signals, defined over graph domains, using a regularization framework, is considered here. Using the $L^{2}$ norm, the optimum ...