Isn't the squaring actually multiplication by the complex conjugate when working in the complex plane? i.e., √((1 - 0 i) (1 + 0 i) + (0 - i) (0 + i)) = √(1 + - i2) = √(1 + 1) = √2. I could be totally off base here and could be confusing with something else...
In fluent speech, the conjunction (the first "that") is unstressed, and as a result some speakers reduce the vowel a bit toward schwa. However, if you told those speakers to carefully pronounce each word, I bet they would pronounce the conjunction and the pronoun the exact same same. A more common example of this kind of reduction is the word "to", which is almost always reduced to /tə/ ([tə] ~ [tʊ] ~ [ɾə] depending on dialect and surrounding words) in everyday speech when unstressed.
Fun fact, you can reduce just about every unstressed vowel in English to schwa (if it's not already a schwa) and still be largely understood.
dass das das das dass da ersetzen kann ist falsch
translation: that "das" can replace "dass" there is wrong.
same shit different barbarians
This relation between temperature and resistivity can be shown to be exponential in certain temperature regimes by waving your hands and chanting "to first order."
for some reason this is the line that got me
That's not the gotcha OOP seems to think it is. If the world was magicked into existence by a supreme being 4000 years ago, there's no reason it couldn't have been magicked into existence with heavy elements having decayed by an arbitrary amount or with Pb by itself. 'Tis the problem with invoking appeals to magic. And anyway a quick look on wiki says that primordial Pb was mostly created by neutron capture of lighter elements, not radioactove decay of heavier ones, so the mere existence of Pb proves nothing wrt the timeline of U decay anyway... but at that point if you're bringing nucleosynthesis into it, you may as well point to anything higher than lithium or even atoms as a concept as "proof" rather than picking anything as exotic as uranium decay.
Alternatively for a full octet on every atom, oxiryne, which does not exist and does not have a wiki page. It's basically acetylene with its arms chopped off and the stumps dislocated, bent back, and stapled together with an oxygen atom.
Fair, but certain corporate-mandated client-side PDF viewers are... bloatier. Though, I do like not having another window to manage when I open in browser, particularly when doing web searches. It pairs well with tab grouping extensions, and I generally don't use markup, so no loss for me there.
Related: spicy foods. I used to be basically intolerant of it but now hate eating non-spicy versions of foods I've grown accustomed to. Spicy peppers and hot chili powder have become a crutch for my otherwise mediocre cooking skills.
https://.../epdf/... -> https://.../pdf/...
Works for some places at least. Super infuriating though. Why use the fast native PDF viewer in the browser when you could use a bloated and buggy JS app?
Synthesis: everything happens except what you want. And then the 26h/day tryhard at <random other institution> in <random other country> publishes the molecule with the exact same route. The difference? Your hands suck. Git gud scrub.
Yeah. The magnet quench flash boils a bunch of helium which is itself expensive, and presents a nice asphyxiation hazard as well. And then, assuming the quench damaged nothing, you have to set up the magnet again by getting the coils back down to superconducting temperatures... to get there, you end up boiling off a lot more helium. And then you have have to bring an engineer in to get the electrons spinning through the coil again and wait for the wobbles in the current to stabilize.
Or so I think. I work with NMR spectrometers and not MRIs, but it's essentially the same technology.
inhales
Complex 1a was prepared according to well-known synthetic procedures. The reduction potential of the complex was increased due to the nephelauxetic expansion of the occupied FMOs induced by photolytic epimerization of the auxiliary tetrahydrophosphazolidine sulfide ligand to enable a strongly σ-donating dihaptic coordination mode.
translation: we made molecule 1a, we shouldn't need to tell you how, it's obvious, lmao, git gud. the molecule became less likely to gain extra electrons because shining light on it made one of its weird-ass totally-not-bullshit parts wiggle around a bit so that it could bind more strongly to the metal atom through two of its own adjacent atoms, making the metal atom's relevant electrons floofier.
It happens in industry, too, but often it's even the stakeholders' fault :) I've still got so many reports to write....
Papers!
(jk my company mandates it after unilaterally deciding to stop paying for endnote and forbids other software im miserable send help)