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 …
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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, …
Calculate the cohomology group of $U(n)$ by spectral sequence.
May 31, 2015 · Here U(n) is the unitary group, consisting of all matrix A ∈ Mn(C) such that AA ∗ = I Problem How to calculate the integer cohomology group H ∗ (U(n)) of U(n)? What if O(n) …
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 …
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.
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 …
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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 …
When is the group of units in $\\mathbb{Z}_n$ cyclic?
Let Un denote the group of units in Zn with multiplication modulo n. It is easy to show that this is a group. My question is how to characterize the n for which it is cyclic. Since the multiplicative …