
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 …
Book recommendations for linear algebra - Mathematics Stack …
I have been wanting to learn about linear algebra (specifically about vector spaces) for a long time, but I am not sure what book to buy, any suggestions?
Dimension of SO (n) and its generators - Mathematics Stack …
Nov 18, 2015 · The generators of SO(n) S O (n) are pure imaginary antisymmetric n × n n × n matrices. How can this fact be used to show that the dimension of SO(n) S O (n) is n(n−1) 2 n …
Fundamental group of the special orthogonal group SO(n)
Question: What is the fundamental group of the special orthogonal group SO(n) S O (n), n> 2 n> 2? Clarification: The answer usually given is: Z2 Z 2. But I would like to see a proof of that and …
lie groups - Lie Algebra of SO (n) - Mathematics Stack Exchange
Apr 24, 2017 · Where a, b, c, d ∈ 1, …, n a, b, c, d ∈ 1,, n. And so(n) s o (n) is the Lie algebra of SO (n). I'm unsure if it suffices to show that the generators of the ...
What is the relationship between SL (n) and SO (n)?
To add some intuition to this, for vectors in Rn R n, SL(n) S L (n) is the space of all the transformations with determinant 1 1, or in other words, all transformations that keep the …
problem solving - Diophantus' Lifespan - Mathematics Stack …
"The son lived exactly half as long as his father" is I think unambiguous. Almost nothing is known about Diophantus' life, and there is scholarly dispute about the approximate period in which he …
Finding the probability son of Ivy league alumnus attends ...
Apr 7, 2016 · 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.
semi-simple and simple lie group,SO (n) for n even
Mar 23, 2021 · You should edit your question using MathJax. More importantly, you should use SO(n) S O (n) instead of so(n) s o (n) (the latter would be the notation for a Lie algebra). …
The Tuesday Birthday Problem - Mathematics Stack Exchange
In case this is the correct solution: Why does the probability change when the father specifies the birthday of a son? (does it actually change? A lot of answers/posts stated that the statement …