Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators I have known the data of $\\pi_m(so(n))$ from this table What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ The answer usually given is To gain full voting privileges, 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'm not aware of another natural geometric object. 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 And if they (mom + son) were lucky it would happen again in future for two more times.
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. What is the probability that their 4th child is a son (2 answers) closed 8 years ago As a child is boy or girl
This doesn't depend on it's elder siblings So the answer must be 1/2, but i found that the answer is 3/4 What's wrong with my reasoning Here in the question it is not stated that the couple has exactly 4 children U(n) and so(n) are quite important groups in physics I thought i would find this with an easy google search
