sorry I was calculating expectation values for # of each type of coin
― the late great, Thursday, 9 October 2014 20:47 (nine years ago) link
ok my flight just got cancelled so i have far too much time on my hands. i am thinking abt what happens if we simply take all 3 coins from a single guys pocket (without placement) where the coins in his pocket satisfy the rules of the initial problem (2 gold, 1 foreign). there are 4 possible states for each of the coins in his pocket. writing a coin's state as:
(0,0) = not gold, not foreign(0,1) = not gold, foreign(1,0) = gold, not foreign(1,1) = gold, foreign
then the 3 coins in his pocket have 3 possible states:
state 1: (1,0),(1,0),(0,1) - prob: 1/3 (uniform prior)state 2: (1,0),(1,1),(0,0) - prob: 1/3state 3: (1,1),(1,0),(0,0) - prob: 1/3
then after we take all 3 coins from the guys pocket the probability that we have at least one coin of one of the 4 states is:
Pr(we have at least 1 (0,0) coin) = 2/3Pr(we have at least 1 (0,1) coin) = 1/3Pr(we have at least 1 (1,0) coin) = 1Pr(we have at least 1 (1,1) coin) = 2/3
― out here like a flopson (tpp), Thursday, 9 October 2014 21:03 (nine years ago) link
state 2 and state 3 are equivalent, no?
― example (crüt), Thursday, 9 October 2014 21:11 (nine years ago) link
oh i see why you did that, nm
― example (crüt), Thursday, 9 October 2014 21:12 (nine years ago) link
i majored in quantum mechanics!
― the late great, Thursday, October 9, 2014 1:32 PM (1 hour ago) Bookmark Flag Post Permalink
sheepish emoji face
― Spirit of Match Game '76 (silby), Thursday, 9 October 2014 21:47 (nine years ago) link
‘I do not even know what a matrix is’, Heisenberg had lamented when told of the origins of the strange multiplication rule that lay at the heart of his new physics. It was a reaction widely shared among physicists when they were presented with his matrix mechanics.
― Bobby Ono Bland (James Redd and the Blecchs), Thursday, 9 October 2014 23:49 (nine years ago) link
The question reminds me of Bertrand’s paradox from Calcul des probabilités. If you’re unfamiliar with Kolmogorov axioms, don’t read the Wikipedia article until you’ve worked it:
There’re three boxes.
I love this problem. While it’s similar to Monty Hall, the geometric, probabilistic, and statistical solutions are far more elegant.
― Allen (etaeoe), Friday, 10 October 2014 00:40 (nine years ago) link
Scott Aaronson likes to describe quantum information thy as the extension of the concept of "probability" to allow negative values/amplitudes.
Interesting, but this interoperation marginalizes probability theory—whose usefulness is due to its simplicity and few dependencies. Information theory, on the other hand, requires a vast and complex framework. Fundamental objects in probability, e.g events and random variables, are easily reducible into the simplest mathematical objects. Hell, this includes continuous interpretations, whose fundamental theorem is simply proved with characteristic functions. While Shannon entropy is formally expressed using expected values and random variables, they aren’t equivalent. It’s far more nuanced than just the addition of negative values. Oh, and Aaronson is an asshole. So that’s probably motivating my nitpicking.
― Allen (etaeoe), Friday, 10 October 2014 01:03 (nine years ago) link
2/3, right?
― the late great, Friday, 10 October 2014 05:56 (nine years ago) link
Aaronson is an asshole? Tell me more! This is the kind of scuttlebutt I'm really looking for here.
― droit au butt (Euler), Friday, 10 October 2014 08:33 (nine years ago) link
no wait! tell us more about information theory's vast and complex framework
― j., Friday, 10 October 2014 12:46 (nine years ago) link
He wrongly threw my former advisor under the bus. It still pisses me off.
― Allen (etaeoe), Friday, 10 October 2014 13:47 (nine years ago) link
LOL. This is what happens when I drink a bottle of wine before posting.
― Allen (etaeoe), Friday, 10 October 2014 13:48 (nine years ago) link
i am serious!
― j., Friday, 10 October 2014 14:04 (nine years ago) link
ok good to know! I really like his work (& er know someone who has to write about it) so I like to know about who I'm going to laud
― droit au butt (Euler), Friday, 10 October 2014 19:48 (nine years ago) link
i've heard a few explanations of how you can look at quantum stuff not just as a generalization of probability, but even more basically of logic. you just do the right sort of algebraic setup and let your variables "vary" over a different, weirder domain.
― everybody loves lana del raymond (s.clover), Saturday, 11 October 2014 04:44 (nine years ago) link
Anyone read any of this guy's stuff? http://www.newyorker.com/magazine/2008/03/03/numbers-guy
― Bobby Ono Bland (James Redd and the Blecchs), Saturday, 11 October 2014 16:42 (nine years ago) link
it's great. i know some of his work with his students on the munduruku (sp?) re their grasp of small numbers and then another category for "bigger than small" rather than more different numbers. So like 1 2 3 4 5 6 7 big
Also the tribe people get a diff number concept just from learning in schools taught in European languages.
― droit au butt (Euler), Saturday, 11 October 2014 20:10 (nine years ago) link
Thanks. Wonder if it's worth reading his number sense book, or any of the others.
― Bobby Ono Bland (James Redd and the Blecchs), Saturday, 11 October 2014 20:32 (nine years ago) link
Number Sense is the famous one. could just look for articles on the net if you want a sample before buying
― droit au butt (Euler), Saturday, 11 October 2014 20:46 (nine years ago) link
http://webmuseum.mit.edu/detail.php?t=exhibitions&type=exh&f=&s=3&record=6
― Thus We Frustrate Kid Charlemagne (James Redd and the Blecchs), Sunday, 19 October 2014 22:50 (nine years ago) link
Grothendieck is dead.
― Guayaquil (eephus!), Friday, 14 November 2014 01:58 (nine years ago) link
RIP :(
― Junior Dadaismus (James Redd and the Blecchs), Friday, 14 November 2014 03:02 (nine years ago) link
Thought revive would be for tomorrow's anniversary of Euler's formula V - E + F = 2.
― Junior Dadaismus (James Redd and the Blecchs), Friday, 14 November 2014 03:24 (nine years ago) link
RIP BIG G
― the late great, Friday, 14 November 2014 03:47 (nine years ago) link
Grothendiecks to watch out for
― Junior Dadaismus (James Redd and the Blecchs), Friday, 14 November 2014 18:28 (nine years ago) link
http://inference-review.com/article/a-country-known-only-by-name
― a total laugh package (s.clover), Friday, 14 November 2014 20:59 (nine years ago) link
http://upload.wikimedia.org/wikipedia/commons/thumb/d/da/Icosian_grid_small_with_labels2.svg/500px-Icosian_grid_small_with_labels2.svg.png
― Junior Dadaismus (James Redd and the Blecchs), Saturday, 22 November 2014 15:54 (nine years ago) link
Been reading Four Colors Suffice: How the Map Problem was Solved, by Robin J. Wilson, which is very well done, informative and entertaining. If you don't believe me, there is a rave review by John H. Conway on the back.
Here is a related cheat sheet: http://www.mei.org.uk/files/conference07/A2.pdf
Here is review in the AMS: http://www.ams.org/notices/200402/rev-toft.pdf
Also dipping into related book: Euler's Gem: The Polyhedron Formula and the Birth of Topology By David S. Richeson
― Junior Dadaismus (James Redd and the Blecchs), Sunday, 23 November 2014 21:10 (nine years ago) link
Related article:The Truth about Königsberg, by Brian Hopkins and Robin J. Wilson http://www.maa.org/programs/maa-awards/writing-awards/the-truth-about-konigsberghttp://www.maa.org/sites/default/files/pdf/upload_library/22/Polya/hopkins.pdf
― Junior Dadaismus (James Redd and the Blecchs), Sunday, 23 November 2014 21:18 (nine years ago) link
Kuratowski's original paper, in French, on a Polish website: http://matwbn.icm.edu.pl/ksiazki/fm/fm15/fm15126.pdf
― Junior Dadaismus (James Redd and the Blecchs), Sunday, 23 November 2014 22:04 (nine years ago) link
A translation and helpful introduction can be found in Graph Theory 1736-1936, by Norman L. Biggs, E. Keith Lloyd, and Robin J. Wilson.
― Junior Dadaismus (James Redd and the Blecchs), Sunday, 23 November 2014 22:13 (nine years ago) link
In which they explain that "gauche" translates to "non-planar."
― Junior Dadaismus (James Redd and the Blecchs), Sunday, 23 November 2014 22:20 (nine years ago) link
OK, found a good Dover book on graph theory, if anyone is interested. Has a lot of nice biographical background stuff in addition to the mathematical content, which historical material also includes some relevant graphs with names of mathematicians and scientists in them. Just learned Einstein's Erdös number from one of these latter.
― Junior Dadaismus (James Redd and the Blecchs), Monday, 24 November 2014 00:36 (nine years ago) link
http://math.oregonstate.edu/bridge/papers/
― Cutset Creator (James Redd and the Blecchs), Tuesday, 2 December 2014 01:46 (nine years ago) link
http://education.lms.ac.uk/2014/12/alexander-grothendieck-some-recollections/
― celfie tucker 48 (s.clover), Sunday, 28 December 2014 22:04 (nine years ago) link
attn euler in particular: are you familiar with rodin and with "axiomatic method and category theory" (http://arxiv.org/abs/1210.1478) and do you have any opinions w/r/t such?
― celfie tucker 48 (s.clover), Wednesday, 7 January 2015 02:37 (nine years ago) link
hah I know rodin extremely well! both as a person and as a scholar. he's a category theory partisan, but he knows lots of other math too, and some philo as well. I haven't read the book though. I think it just appeared with springer?
― droit au butt (Euler), Wednesday, 7 January 2015 14:36 (nine years ago) link
Enigma:The Movie means Enigma:The Book is back in print. It seems to have been out of since the first run, thirty some odd years ago.
― Zings of Oblivion (James Redd and the Blecchs), Thursday, 22 January 2015 15:46 (nine years ago) link
u guys ever watch those Geometry Center videos? i was introduced to them during my self-ban. easily the best thing ever created
https://www.youtube.com/watch?v=AGLPbSMxSUM
https://www.youtube.com/watch?v=-gLNlC_hQ3M
https://www.youtube.com/watch?v=wO61D9x6lNY
― flopson, Thursday, 22 January 2015 17:41 (nine years ago) link
Guess it actually came out again in 2012 for Turing centennary. (xp to self)
― Zings of Oblivion (James Redd and the Blecchs), Thursday, 22 January 2015 21:57 (nine years ago) link
flopson otm
― the late great, Friday, 23 January 2015 07:12 (nine years ago) link
Will check those out, thx
― Mike j'Abo (James Redd and the Blecchs), Friday, 23 January 2015 07:21 (nine years ago) link
need part 2 of knot not
― the late great, Friday, 23 January 2015 07:52 (nine years ago) link
ya wtf fuck you bbc worldwide
― flopson, Friday, 23 January 2015 08:07 (nine years ago) link
you could hit this guy up i guess http://www.geom.uiuc.edu/video/AKPeters.html
― flopson, Friday, 23 January 2015 08:10 (nine years ago) link
http://www.crcpress.com/product/isbn/9781568814537
$1/minute
― the late great, Friday, 23 January 2015 08:38 (nine years ago) link
my best friend who made me love math got accepted to stanford math phd, super proud. he's a major genius and has an amazing gift for explaining the simple mindblowing idea at the heart of a complex topic. gonna miss him as i live really far from cali but still
― flopson, Sunday, 25 January 2015 03:13 (nine years ago) link
^like
― Mike j'Abo (James Redd and the Blecchs), Sunday, 25 January 2015 03:18 (nine years ago) link
did vahid go to stanf?
― flopson, Sunday, 25 January 2015 03:23 (nine years ago) link