There are now drones that mine (and demine), and drones that accelerate in the air to intercept and kill incoming drones in a ...

If pure math can teach us anything, it’s this: occasionally, your special interest might just change the world. For Joshua Zahl and Hong Wang, that special interest was the Kakeya conjecture. “I read ...

The optical fiber is modeled via the Manakov equation and is implemented using the split-step Fourier method (SSFM) in a Monte-Carlo based approach. Additional noise sources and losses are added ...

So is it true that only geniuses can solve this math equation? I reached out to a mathematics professor to help me run the numbers on this tricky math problem. You’ve no doubt seen this math ...

A special focus of the article is on the fact that the fabric of Maxwell's equations allows for quantization of charges. When Thomson discovered electrons, it was proved that electric flux is ...

The role of the fast weights, δwi, is to transiently adjust neuronal output to suppress immediate errors – errors that can be predicted if y * changes slowly. The role of the slow weights, wi, is to ...

Mathematicians once turned up their noses at imaginary numbers. But complex analysis actually simplifies math and physics.

An equation is a statement with an equals sign, stating that two expressions are equal in value, for example \(3x + 5 = 11\) Solving an equation means finding the value or values for which the two ...

With the aim of putting Pippard‘s provisional theory of the anomalous effects on a more rigorous basis, we have reformulated his equations using the methods of the modern electron theory of ...

Abstract: The fast Fourier transform is a computational tool which facilitates signal analysis such as power spectrum analysis and filter simulation by means of digital computers. It is a method for ...