Originally done with (neutral) silver atoms in 1921, but even clearer theoretically was the hydrogen reproduction in 1927 by T. E. Phipps and J. B. Taylor.
The hydrogen experiment was apparently harder to do and the result is less visible, TODO why: physics.stackexchange.com/questions/33021/why-silver-atoms-were-used-in-stern-gerlach-experiment
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.
There are unlisted articles, also show them or only show them.