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A father's age is now five times that of his first born son In a family with two children, what are the chances, if one of the children is a girl, that both children are girls Six year from now, the old man's age will be only three times that his first born son
I have known the data of $\\pi_m(so(n))$ from this table And if they (mom + son) were lucky it would happen again in future for two more times. What is the fundamental group of the special orthogonal group $so (n)$, $n>2$
The answer usually given is
I'm not aware of another natural geometric object. Welcome to the language barrier between physicists and mathematicians Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators So, the quotient map from one lie group to another with a discrete kernel is a covering map hence $\operatorname {pin}_n (\mathbb r)\rightarrow\operatorname {pin}_n (\mathbb r)/\ {\pm1\}$ is a covering map as @moishekohan mentioned in the comment
I hope this resolves the first question If we restrict $\operatorname {pin}_n (\mathbb r)$ group to $\operatorname {spin}_n (\mathbb r. The question really is that simple Prove that the manifold $so (n) \subset gl (n, \mathbb {r})$ is connected
It is very easy to see that the elements of $so (n.
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A son had recently visited his mom and found out that the two digits that form his age (eg :24) when reversed form his mother's age (eg Later he goes back to his place and finds out that this whole 'age' reversed process occurs 6 times
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