Ciro Santilli @cirosantilli 40

The non-regular version of the hypercube.

archive.org/details/quantumstoryhist0000bagg on the Internet Archive Open Library.

Analogous to what the Euler-Lagrange equation is to Lagrangian mechanics, Hamilton's equations give the equations of motion from a given input Hamiltonian:So once you have the Hamiltonian, you can write down this system of partial differential equations which can then be numerically solved.

It is fun to see that C and G have been confused since antiquity:

As if it weren't enough, there's also a Cyrillic script psi that is slightly different. Life's great.

Published as session reports of the Royal Prussian Academy of Sciences at Berlin.

In 2020 physics, best explained by general relativity.

TODO: does old Newtonian gravity give different force results than general relativity?

This is apparently the most important III-V semiconductor, it seems to actually have some applications, see also: gallium arsenide vs silicon.

Is the solution to a system of linear ordinary differential equations, the exponential function is just a 1-dimensional subcase.

Note that more generally, the matrix exponential can be defined on any ring.

The matrix exponential is of particular interest in the study of Lie groups, because in the case of the Lie algebra of a matrix Lie group, it provides the correct exponential map.