Constraint qualifications (CQ) are assumptions on the algebraic description of the feasible set of an optimization problem that ensure that the KKT conditions hold at any local minimum. In this work ...

Motivated by electrodynamics we discuss a derivation of the Stokes theorem which is based on the variations of the fluxes and line integrals of vector fields. We show how this procedure can be ...

This text is obsolete, the second edition of the course is available here. The subject for today is normal mapping. What is the main difference between normal mapping and Phong shading? The key is the ...

Imagine a world in which artificial intelligence is entrusted with the highest moral responsibilities: sentencing criminals, allocating medical resources, and even mediating conflicts between nations.

Daniel Liberto is a journalist with over 10 years of experience working with publications such as the Financial Times, The Independent, and Investors Chronicle. Robert Kelly is managing director of ...

ORANGE COUNTY, Fla. – In Winter Park, Cherese Fussner is making a big impact as a geometry teacher at the Winter Park 9th Grade Center. Recently honored as the Orange County Public Schools Teacher of ...

Left, a 3-flower. Right, a 5-flower. Credit: Journal of Geometry and Physics, 10.1016/j.geomphys.2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general ...

A long-standing geometric mystery dating back to the 17th century has finally been solved by Monash University mathematicians, shedding new light on an equation first written by philosopher and ...