@ACuriousMind Ahh right it said $S^3$ was $SU(2)$ and $SO(3)$ was "half of $S^3$" without really going into detail of what it meant. Is that more correct?
@Blue Please ask questions about moderator tools in the mod-only room you should soon be able to access. The diamonds need a bit to propagate through the system ;P
These quotient structures are related to equivalence relations, e.g. if you have a group, and you can define an equivalence relation which respects the group structure, you can reduce the group to the group of equivalence classes, the result being a quotient group,
Luckily it's not for a class or anything, so I don't have to rush through it. But that also means I'm more likely to get sidetracked going down a different road
Those slow downs are pretty annoying those. Especially when you later learn that what slowed you down wasn't all that complicated. I remember having serious issues doing tensor computations and finding matrix elements in QM when first being introduced to them
"Every highest weight can be expressed as an integral linear combination of the fundamental weights ... Hence, every representation can be obtained from a tensor product of fundamental representations. This tensor product will in general not be irreducible, i.e. its set of weights will contain several highest weight" P 96 http://www.th.physik.uni-bonn.de/nilles/people/luedeling/grouptheory/data/grouptheorynotes.pdf
Yeah, super useful for plotting graphs and so on but the documentation is so jargonny and long-winded it takes forever to learn and no one really knows whats happening
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Transcription:
Gerrymandering in North Carolina
1,747,742 votes for Democrats = 3 Congressional seats
1,638,684 votes for Republicans = 10 Congressional seats
Example sources: [1], [2]
Are these numbers correct?
"A year later, in November 2001, the National Opinion Research Center at the University of Chicago announced the results of an examination of all 170,000 undervotes and overvotes.
NORC found that with a full statewide hand recount, Gore would have won Florida under every possible vote standard. Depending on which standard was used, his margin of victory would have varied from 60 to 171 votes."
my recollection of the events, which could very well be wrong, was the Al Gore fought pretty hard, got it all the way up to SCOTUS, was rejected by SCOTUS and only then gave up.
There is no more up the chain than SCOTUS...doing some independent study wouldn't have helped I think...
Gore fought for a recount in 4 states, and hilariously if he got that recount he still would have lost, but if it was a statewide recount, which is the obvious thing to fight for if you're not an idiot, he would have won if you don't throw away the under and over votes, which is insane to do
Weak dems
'On December 8, the Florida Supreme Court rejected Gore’s request for a hand recount in four counties. Instead, it ordered a statewide hand recount of undervotes, with the decisions being made according to the “intent of the voter.”
The U.S. Supreme Court then halted this recount on December 12, declaring that since different Florida counties used different voting methods, the voter intent standard violated the Equal Protection Clause of the Constitution.'
'the Gore campaign wanted everyone to stand down. McAlevey quotes a higher-up telling her, “The Gore campaign has made the decision that this is not the image they want. They don’t want to protest. They don’t want to rock the boat. They don’t want to seem like they don’t have faith in the legal system.”'
this book by gore looks prescient in retrospect. he seems to have been one of the most science-positive politicians in decades. as for "counterfactuals"... am sure the world would have been a much different place if hed been president. The Assault on Reasonamazon.com/Assault-Reason-Al-Gore/dp/1594201226 also note that some commentators have mentioned we are living thru a "post fact" world aka alternative facts etc...
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Transcription:
Gerrymandering in North Carolina
1,747,742 votes for Democrats = 3 Congressional seats
1,638,684 votes for Republicans = 10 Congressional seats
Example sources: [1], [2]
Are these numbers correct?
