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Welcome to the language barrier between physicists and mathematicians Instead, you can save this post to reference later. Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators

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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ What's reputation and how do i get it The answer usually given is

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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 (n 1) 2 I know that an antisymmetric matrix has n(n−1) 2 n (n 1) 2 degrees of freedom, but i can't take this idea any further in the demonstration of the proof I have known the data of $\\pi_m(so(n))$ from this table To gain full voting privileges,

I'm not aware of another natural geometric object. 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 lived There is no reason to think that the problem has a historical basis.

In case this is the correct solution

Why does the probability change when the father specifies the birthday of a son 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. Each of 20 families selected to take part in a treasure hunt consist of a mother, father, son, and daughter

Assuming that they look for the treasure in pairs that are randomly chosen from the 80 You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful