More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...

Understanding the fundamentals of wave propagation is key to electrodynamics, and Understanding the 1D Wave Equation in Electrodynamics explores how electromagnetic waves move through space and time.

In the study of subsurface seismic imaging, solving the acoustic wave equation is a pivotal component in existing models. The advancement of deep learning (DL) enables solving partial differential ...

In this article, we reveal the novel types of exact solitons to the fourth-order nonlinear (1 + 1)-dimensional Boussinesq water wave equation. This model is obtained under the consideration of the ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Allison Thompson of The Money Farm walks through some recent events and the impact they had on markets. Marketing and price discovery are not simple equations, and sometimes things don't add up. Corn ...

The recent Design Idea “Getting an audio signal with a THD < 0.0002% made easy,” discloses a low THD sine generator which led me to dust off a design that I had published in AudioXpress magazine [1] ...

Sometimes we face problems that seem like they'll never go away or get better, but would you believe that math could actually hold the key to making your life better? Sounds tricky, but it's a lot ...

High temperatures can leave you feeling exhausted. But there are simple steps you can take to get a better night’s rest. By Katie Mogg Much of the United States is expected to experience dangerous ...

To calculate the amount of carbon stored inside peatlands, researchers developed a unified theory of “bog physics” applicable around the world. A visit to a peat bog will make you rethink everything ...