Abstract: We prove the equivalence between the derivation of the Vogler algorithm and the parabolic equation for multiple knife-edge diffraction problems under certain conditions. To illustrate the ...

Understand the kinematic equations and how they are derived from fundamental principles of motion. This video clearly explains displacement, velocity, acceleration, and time relationships, making it ...

Chang, Hong Spring 2025 Dr. William Menasco The filling pairs and the curve complex Hovland, Seth Spring 2025 Dr. William Menasco On the algebraic, geometric, and dynamic properties of plats Bivolcic, ...

If you enjoyed this article, I’d like to ask for your support. Scientific American has served as an advocate for science and industry for 180 years, and right now may be the most critical moment in ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and delivered a speech that would echo through the next century. He outlined 10 — and ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...

Tests of a proposed friction-factor equation have shown it to be accurate for calculating pressure loss in turbulent flow for a pipeline transporting a non-Newtonian fluid, such as most crude oils and ...

Developing a quantitative understanding of wave plasma processes in the lower ionosphere requires a reasonably accurate theoretical description of the underlying physical processes. For such a highly ...

Have you ever wondered why water flows the way it does or how aircraft are able to fly? The answer lies in the study of fluid mechanics. In this overview of fluid mechanics, you’ll learn the basics of ...

LOUISVILLE, Ky. (WAVE) - The weight of the air surrounding us is known as barometric or atmospheric pressure. Low and high barometric pressure can impact our bodies differently; factors such as ...