We have looked at how to solve equations with one unknown value, but what happens when there are two unknown values? An equation with two unknown values will have infinitely many solutions. or \(x=100 ...

The team has improved the capabilities of physics-informed neural networks (PINNs), a type of artificial intelligence that incorporates physical laws into the learning process. Researchers from the ...

Maxwell’s equations of electromagnetism and the Euler equation top a poll to find the greatest equations of all time. Robert P Crease discusses the results of his reader survey First among equals – ...

How to solve simultaneous equations using graphs. How much is each ticket? Draw a bar to represent one adult and two children’s tickets. Let’s call the adult ticket 𝑦 and the child ticket 𝑥. Another ...

Physics-informed neural networks (PINNs) represent a burgeoning paradigm in computational science, whereby deep learning frameworks are augmented with explicit physical laws to solve both forward and ...

Theoretical physicists have proposed a potential solution to one of the most puzzling problems in modern physics: the black hole singularity paradox. By modifying Einstein's theory of general ...

The quadratic equation was discovered several years ago; it has been around for centuries. The ancient mathematicians coming ...

(via Sabine Hossenfelder) Progress in the foundations of physics is moving slowly. And yet it moves. Today I look at the five biggest problems in physics, what their status is, and how long it will ...