For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

It is shown that the definition of path integrals without limiting procedure does not give rise to unresolved factor-ordering ambiguities. Any inference from the recent work of Langouche et al. [Phys.

Calling all calculus lovers—it’s time to tackle a challenge that tests your limits. Dive into a problem that sharpens your understanding of derivatives, integrals, and mathematical reasoning. Perfect ...

Abstract: Taylor product theorem is applied to the evaluation of a class of integrals that arise in high-frequency wave scattering problems. We expand a term 1/(t 2 + 1) under the integral into ...

Abstract: Generalization of the surface-volume-surface electric field integral equation (SVS-EFIE) for the solution of electromagnetic scattering problems on 3-D dielectric objects embedded in ...

Imagine growing up with a remarkable painting as the centerpiece of your home. The artwork seeps into your imagination. You see yourself in it, somehow. Its power and beauty are amplified by a whiff ...

Complex organizational problems and chaos are silent killers of productivity and innovation. In today’s fractured work environment, they are more prevalent than ever. Political transitions, ...

IN the second volume of his large treatise on the integral calculus, Mr. Edwards deals with multiple integrals, gamma functions, Dirichlet integrals, definite integrals in general, contour integration ...

Windows 10 remains one of the most robust versions of the operating system, which is why so many users see no reason to switch to Windows 11. However, this month’s KB5053606 update is proving ...

If you want to accentuate the importance of a problem, it seems sensible to explain how prevalent it is. Lots of people are at risk of Alzheimer’s disease. Lots of women carry a gene that makes them ...

If your PC restarts unprompted, freezes, or programs crash, you could have a RAM problem on your hands. To find out whether RAM really is the problem, you can use your PC’s memory diagnostics tool to ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...