lie groups - Lie Algebra of SO(n) - Mathematics Stack Exchange $\begingroup$ Well, to answer your question, you should show that $\mathfrak{so}(n)$ consists of skew-symmetric matrices (I am sweeping something under the rug here, because you need to lower one index of an element of $\mathfrak{so}(n)$ in order to get a skew-symmetric matrix with two indices down)
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 mention Tue; if he has a son daughter both born on Tue he will mention the son, etc
Dimension of SO (n) and its generators - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
The Tuesday Birthday Problem - Mathematics Stack Exchange 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 I could replace Tuesday with any day of the week and the probability would be the same Say the father would have stated: I have two children (At least) One of them is a son
What does versus mean in the context of a graph? $\begingroup$ I can honestly say i don't think i have heard the "versus" terminology used in math courses, but i hear it and see it used all the time in other sciences courses, chemistry, physics, etc Ive wondered about it for so long but am finally stuck on something, where the interpretation is makes or breaks the answer
Improper integral of sin(x) x from zero to infinity 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
Are $SO(n)\\times Z_2$ and $O(n)$ isomorphic as topological groups? Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers