This video gives a clear explanation of why pi (π) appears in the Gaussian integral, breaking down the geometry and symmetry behind the result. Learn how area, rotation, and exponential decay come ...

Pour one out for the ancient MetroCard and its equally old cousin, the PATH SmartLink card. The beginning of the end for these longtime ways to pay fares on the bi-state PATH system came Thursday when ...

The cost of a single PATH train ticket is set to increase next spring — and will climb steadily each year until it hits $4 by 2029, Port Authority officials said. A single trip on the PATH train, ...

In what is expected to be his final public remarks before the Federal Reserve’s October rate decision, Chair Jerome Powell said there is no "risk-free" path for policy, as the labor market shows signs ...

ABSTRACT: In this paper, we explore a theoretical framework aimed at bridging general relativity and quantum mechanics by employing the Feynman path integral formalism. Starting from Einstein’s field ...

Neural networks revolutionized machine learning for classical computers: self-driving cars, language translation and even artificial intelligence software were all made possible. It is no wonder, then ...

If you had asked us yesterday “How do you 3D Print a Photo”, we would have said “well, that’s easy, do a lithophane”– but artist, hacker and man with a very relaxing voice [Wyatt Roy] has a much more ...

Abstract: Harmonic Path Integral Diffusion (H-PID) introduces a novel approach to sampling from complex, continuous probability distributions by creating a time-dependent “bridge” from an initial ...

You might have heard the term “splat” or “Gaussian splat” used recently in the XR space. Gaussian splatting is a rendering technique that has been around for a long time but has found a new ...