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  1. Dimension of SO (n) and its generators - Mathematics Stack …

    Nov 18, 2015 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

  2. 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 $\pi_1(SO(3))$.

  3. lie groups - Lie Algebra of SO(n) - Mathematics Stack Exchange

    Apr 24, 2017 · $\begingroup$ Well, to answer your question, you should show that $\mathfrak{so}(n)$ consists of skew-symmetric matrices (I am sweeping something under the …

  4. 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 …

  5. 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 …

  6. Are $SO(n)\\times Z_2$ and $O(n)$ isomorphic as topological …

    Oct 19, 2019 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

  7. Homotopy groups O(N) and SO(N): $\\pi_m(O(N))$ v.s.

    Oct 3, 2017 · I have known the data of $\pi_m(SO(N))$ from this Table: $$\overset{\displaystyle\qquad\qquad\qquad\qquad\qquad\qquad\quad\textbf{Homotopy …

  8. geometry - Find the coordinates of a point on a circle

    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.

  9. Universal covering group and fundamental group of $SO(n)$

    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 …

  10. Improper integral of sin(x)/x from zero to infinity

    Jun 14, 2017 · 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 …