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  1. Mathematics Stack Exchange

    Q&A for people studying math at any level and professionals in related fields

  2. Mnemonic for Integration by Parts formula? - Mathematics Stack …

    Nov 11, 2018 · The Integration by Parts formula may be stated as: $$\\int uv' = uv - \\int u'v.$$ I wonder if anyone has a clever mnemonic for the above formula. What I often do is to derive it …

  3. Calculate the cohomology group of $U(n)$ by spectral sequence.

    May 31, 2015 · We have Ep,q2 ≅ Λ[c1,c3] E 2 p, q ≅ Λ [c 1, c 3]. By lacunary reasons, this spectral sequence collapses on the second page, and so we deduce H∗(U(2)) ≅ Λ[c1,c3] H ∗ …

  4. Expectation of Minimum of $n$ i.i.d. uniform random variables.

    Apr 25, 2017 · To calculate the expected value, we're going to need the density function for Y Y. To get that, we're going to need the distribution function for Y Y. Let's start there. By definition, …

  5. Difference between "≈", "≃", and "≅" - Mathematics Stack Exchange

    In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical …

  6. Equation of a rectangle - Mathematics Stack Exchange

    Oct 2, 2011 · I need to graph a rectangle on the Cartesian coordinate system. Is there an equation for a rectangle? I can't find it anywhere.

  7. The sequence of integers - Mathematics Stack Exchange

    May 9, 2016 · Prove that the sequence $\\{1, 11, 111, 1111, .\\ldots\\}$ will contain two numbers whose difference is a multiple of $2017$. I have been computing some of the immediate …

  8. Newest Questions - Mathematics Stack Exchange

    Q&A for people studying math at any level and professionals in related fields

  9. For what $n$ is $U_n$ cyclic? - Mathematics Stack Exchange

    17 Un U n is cyclic iff n n is 2 2, 4 4, pk p k, or 2pk 2 p k, where p p is an odd prime. The proof follows from the Chinese Remainder Theorem for rings and the fact that Cm ×Cn C m × C n is …

  10. How do we calculate factorials for numbers with decimal places?

    I was playing with my calculator when I tried 1.5! 1.5!. It came out to be 1.32934038817 1.32934038817. Now my question is that isn't factorial for natural numbers only? Like 2! 2! is 2 …

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