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- Boy Born on a Tuesday - is it just a language trick?
The only way to get the 13 27 answer is to make the unjustified unreasonable assumption that Dave is boy-centric Tuesday-centric: if he has two sons born on Tue and Sun he will mention Tue; if he has a son daughter both born on Tue he will mention the son, etc
- Finding the probability son of Ivy league alumnus attends . . .
Modify the above by assuming that the son of a Harvard man always went to Harvard Again, find the probability that the grandson of a man from Harvard went to Harvard Would this be just 1? I am assuming that 'always' means that a 100% chance that a son goes to Harvard
- semi-simple and simple lie group,SO (n) for n even
to MOishe : I had to put it as an answer because the following was too long for comment Ok so you are considering the $\{\pm I\}$ subgroup, being finite and discrete is considered not connected I may guess? as far as that internet wikpedia article goes yes i did read that prior and in fact was my reason for saying, as far as technicalities of exact language definition, SO(2k) were not simple
- lie groups - Lie Algebra of SO(n) - Mathematics Stack Exchange
$\begingroup$ Well, to answer your question, you should show that $\mathfrak{so}(n)$ consists of skew-symmetric matrices (I am sweeping something under the rug here, because you need to lower one index of an element of $\mathfrak{so}(n)$ in order to get a skew-symmetric matrix with two indices down)
- problem solving - Diophantus Lifespan - Mathematics Stack Exchange
Stated in prose, the poem says that Diophantus's youth lasts 1 6 of his life He grew a beard after 1 12 more of his life After 1 7 more of his life, Diophantus married Five years later, he had a son The son lived exactly half as long as his father, and Diophantus died just four years after his son's death From the WolframAlpha blog Now
- The Tuesday Birthday Problem - Mathematics Stack Exchange
A lot of answers posts stated that the statement does matter) What I mean is: It is clear that (in case he has a son) his son is born on some day of the week I could replace Tuesday with any day of the week and the probability would be the same Say the father would have stated: I have two children (At least) One of them is a son
- Fundamental group of the special orthogonal group SO(n)
You can use the exact sequence of homotopy groups you mention (without knowing the maps) to get the result once you know $\pi_1(SO(3))$
- Dimension of SO (n) and its generators - Mathematics Stack Exchange
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