Ciro Santilli @cirosantilli 37

All possible repetitive crystal structures!

219 of them.

This is a good book, it gives a summary of biographies, and a reasonable description of the main ideas, with many illustrations. Each subject is not presented in incredible detail, but it is a good overview of events.

Weight: medium.

Can import from: MIDI.

Can export to:

Cannot hear any sound from it on Ubuntu 20.04: askubuntu.com/questions/510052/how-do-you-get-rosegarden-to-play-sound-when-playing-a-midi-in-it

The name makes absolutely no sense in modern terms, as nor colors nor light are used directly in the measurements. It is purely historical.

Qt front-end for FluidSynth.

One of the defining properties of algebraic structure with two operations such as ring and field:This property shows how the two operations interact.

We define this as the functional equation:It is a bit like cauchy's functional equation but with multiplication instead of addition.

Existence and uniqueness results are fundamental in mathematics because we often define objects by their properties, and then start calling them "the object", which is fantastically convenient.

But calling something "the object" only makes sense if there exists exactly one, and only one, object that satisfies the properties.

One particular context where these come up very explicitly is in solutions to differential equations, e.g. existence and uniqueness of solutions of partial differential equations.

Same remarks as Section "Exam".