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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ It is clear that (in case he has a son) his son is born on some day of the week. The answer usually given is

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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? A lot of answers/posts stated that the statement does matter) what i mean is The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices

Welcome to the language barrier between physicists and mathematicians

Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators To gain full voting privileges, I've found lots of different proofs that so(n) is path connected, but i'm trying to understand one i found on stillwell's book naive lie theory It's fairly informal and talks about paths in a very

I have known the data of $\\pi_m(so(n))$ from this table 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. I was having trouble with the following integral

$\int_ {0}^\infty \frac {\sin (x)} {x}dx$

My question is, how does one go about evaluating this, since its existence seems fairly intuitive, while its In case this is the correct solution Why does the probability change when the father specifies the birthday of a son