In 1843, William Rowan Hamilton had a four-dimensional flash of insight that still shapes our three-dimensional world.

Take, for example, one of Maxwell's equations relating the electric and magnetic fields: Without vector notation, this would be written as three separate equations (one for each component of B and ...

Take, for example, one of Maxwell's equations relating the electric and magnetic fields: ∇ × E = –∂B/∂t Without vector notation, this would be written as three separate equations (one for ...

On October 16 1843, the Irish mathematician William Rowan Hamilton had an epiphany during a walk alongside Dublin's Royal Canal.

Form has traditionally been the most important factor in playing for Australia, but in Maxwell’s case it’s only part of the equation. Though Maxwell played the last of his seven Tests in 2017 ...

Maxwell's Equations: The Ultimate Beginner's Guide Posted By Steven Pomeroy On Date October 22, 2024 Jade from Up and Atom describes Maxwell's equations for beginners.

In a paper published in the journal Nature Physics, researchers used a superconducting quantum simulator to emulate charged ...

With further refinement and defined thresholds for treatment, this technology has the potential to guide treatment decisions.

Other integrable systems I have studied over the years include: short-pulse systems, Maxwell-Bloch equations, the Kadomtsev-Petviashvili equations in 2 spatial dimensions, etc. I have also been ...