Ciro Santilli @cirosantilli 35

Related to what does it mean that photons are force carriers for electromagnetism?.

Two lower case variants... both used in mathematical notation, and for some reason, in LaTeX \varphi is the one that actually looks like the default standard modern lowercase phi, while \phi is the weird one. I love life.

More interestingly, how is that implied by the Stern-Gerlach experiment?

physics.stackexchange.com/questions/266359/when-we-say-electron-spin-is-1-2-what-exactly-does-it-mean-1-2-of-what/266371#266371 suggests that half could either mean:

This is a pain point as of SVG 1.1...

Examples at svg/background.html which answers from stackoverflow.com/questions/11293026/default-background-color-of-svg-root-element/11293812:

This pain reflects directly on Inkscape: set SVG background color in Inkscape.

This vocabulary likely entered Ciro Santilli's vernacular through playing Counter-Strike when he was a teenager.

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.

In 2020 physics, best explained by general relativity.

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

Lower case looks like the mouth shape when you say Z, with mouth open, and you can even see the little tongue going down. Beauty.

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

The Google Story Chapter 21. A Virtual Library mentions that Paul Allen was interested in trying to create something like the "Final Encyclopedia" from this book. This is somewhat the same motivation for Google Books and Google's activities more broadly, as shown in their organise the world's information mission statement.

A convenient notation for the elements of $GF(n)$ of prime order is to use integers, e.g. for $GF(7)$ we could write:which makes it clear what is the additive inverse of each element, although sometimes a notation starting from 0 is also used:

For fields of prime order, regular modular arithmetic works as the field operation.

For non-prime order, we see that modular arithmetic does not work because the divisors have no inverse. E.g. at order 6, 2 and 3 have no inverse, e.g. for 2:we see that things wrap around perfecly, and 1 is never reached.

For non-prime prime power orders however, we can find a way, see finite field of non-prime order.