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- Fundamental group of the special orthogonal group SO(n)
You can use the exact sequence of homotopy groups you mention (without knowing the maps) to get the result once you know $\pi_1(SO(3))$
- geometry - Find the coordinates of a point on a circle - Mathematics . . .
The standard circle is drawn with the 0 degree starting point at the intersection of the circle and the x-axis with a positive angle going in the counter-clockwise direction
- 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
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- Homotopy groups O(N) and SO(N): $\\pi_m(O(N))$ v. s. $\\pi_m(SO(N))$
I have known the data of $\pi_m(SO(N))$ from this Table: $$\overset{\displaystyle\qquad\qquad\qquad\qquad\qquad\qquad\quad\textbf{Homotopy groups of orthogonal groups
- 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
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