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  1. stackexchange.com
    https://math.stackexchange.com › questions

    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 …

  2. stackexchange.com
    https://math.stackexchange.com › questions

    Book recommendations for linear algebra - Mathematics Stack …

    I have been wanting to learn about linear algebra (specifically about vector spaces) for a long time, but I am not sure what book to buy, any suggestions?

  3. stackexchange.com
    https://math.stackexchange.com › questions

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

    Nov 18, 2015 · 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 …

  4. stackexchange.com
    https://math.stackexchange.com › questions

    Fundamental group of the special orthogonal group SO(n)

    Question: What is the fundamental group of the special orthogonal group SO(n) S O (n), n> 2 n> 2? Clarification: The answer usually given is: Z2 Z 2. But I would like to see a proof of that and …

  5. stackexchange.com
    https://math.stackexchange.com › questions

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

    Apr 24, 2017 · Where a, b, c, d ∈ 1, …, n a, b, c, d ∈ 1,, n. And so(n) s o (n) is the Lie algebra of SO (n). I'm unsure if it suffices to show that the generators of the ...

  6. stackexchange.com
    https://math.stackexchange.com › ... › what-is-the-relationship-between …

    What is the relationship between SL (n) and SO (n)?

    To add some intuition to this, for vectors in Rn R n, SL(n) S L (n) is the space of all the transformations with determinant 1 1, or in other words, all transformations that keep the …

  7. stackexchange.com
    https://math.stackexchange.com › questions

    problem solving - Diophantus' Lifespan - Mathematics Stack …

    "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 …

  8. stackexchange.com
    https://math.stackexchange.com › questions › finding-the-probability-so…

    Finding the probability son of Ivy league alumnus attends ...

    Apr 7, 2016 · Modify the above by assuming that the son of a Harvard man always went to Harvard. Again, find the probability that the grandson of a man from Harvard went to Harvard.

  9. stackexchange.com
    https://math.stackexchange.com › questions › semi-simple-and-simple-li…

    semi-simple and simple lie group,SO (n) for n even

    Mar 23, 2021 · You should edit your question using MathJax. More importantly, you should use SO(n) S O (n) instead of so(n) s o (n) (the latter would be the notation for a Lie algebra). …

  10. stackexchange.com
    https://math.stackexchange.com › questions › the-tuesday-birthday-prob…

    The Tuesday Birthday Problem - Mathematics Stack Exchange

    In case this is the correct solution: Why does the probability change when the father specifies the birthday of a son? (does it actually change? A lot of answers/posts stated that the statement …

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