In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and ...

Exactly 100 years ago, famed Austrian physicist Erwin Schrödinger (yes, the cat guy) postulated his eponymous equation that ...

Discover how the Black-Scholes equation powers billions in crypto options daily—even in the wild west of volatility. Master ...

Join Dr. Na Li as she explores the mysteries of the particle drifting effect and its practical applications in real-world ...

In a recent advance, a multi-disciplinary team of researchers developed a machine learning framework that adapts to changes ...

From microscopic robots that can carry and deliver drugs inside the human body to tiny particles that can detect and break ...

and pulse shape by adjusting physical quantities like diffusion coefficient, adhesion rate, and pressure. Additionally, the newly modified equation can be efficiently solved using the discontinuous ...

This breakthrough won’t change the theories themselves, but it mathematically justifies them and strengthens our confidence that the equations work in the way we think they do. Each theory ...

This paper analyzes the distribution characteristics of the leakage diffusion flow field of sulfur-containing natural gas pipelines under different conditions by numerical simulation and establishes ...

The diffusivity of particles in mucus is paramount for animal health. The infectivity of animal viruses, like HIV, decreases when their diffusion in mucus is impeded [6]. On the flip side, enhancing ...