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:
- at limit of large
l
for the Schrödinger equation solution for the hydrogen atom the difference between each angular momentum is twice that of the eletron's spin. Not very satisfactory. - it comes directly out of the Dirac equation. This is satisfactory. :-)
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:
- svg/background-rect.svg
- svg/background-viewport-fill.svg: was part of SVG 1.2, but that whole standard got dropped. Not implemented neither in Chromium 85 nor Firefox 93 as of 2021.
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.
You gotta be born after the year 2000 to understand it.
This is becoming more and more popular as a group chat with channels and threads possibility as of 2020.
Very similar to Slack.
They force your username to have 4 random digits? www.reddit.com/r/discordapp/comments/43kjdl/whats_the_number_next_to_the_username/
Not possible to anonymously join just one server without creating a new account? What's the point of servers then! www.reddit.com/r/discordapp/comments/6gmjl7/changing_nick_before_joining_a_new_server/ Oh, also nicks don't hide your username from the server in any way, you can get the original username by just clicking on the person's username.
No proper threaded discussion without creating new channels? As of 2022 there is kind of a way, but it was a bit obtuse.
As of 2022 they also have a school hub: support.discord.com/hc/en-us/articles/4406046651927-Discord-Student-Hubs-FAQ which auto creates groups by university email access. Good idea, and shows popularity amongst that user group.
Servers don't have an ID to join them? www.reddit.com/r/discordapp/comments/b9zdt6/join_discord_server_from_id/
Can only make public servers if you have 1000 members?? support.discord.com/hc/en-us/articles/360023968311 Why so much bullshit?? www.reddit.com/r/discordapp/comments/6jouf8/how_do_i_make_my_server_public/
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 of prime order is to use integers, e.g. for 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.
There are unlisted articles, also show them or only show them.