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- Mnemonic for Integration by Parts formula? - Mathematics Stack Exchange
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 from the Product R
- Calculate the cohomology group of $U(n)$ by spectral sequence.
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) replace U(n)? My primitive idea is that: as for U(n), it is a Lie group and can acts transitively on the unit sphere with a isotropy group (or say stabilizer) U(n − 1) Hence, U(n) U(n − 1) = S2n − 1 and we
- Mathematics Stack Exchange
Q A for people studying math at any level and professionals in related fields
- 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 Operators B
- Equation of a rectangle - Mathematics Stack Exchange
I need to graph a rectangle on the Cartesian coordinate system Is there an equation for a rectangle? I can't find it anywhere
- 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 × 1 2 × 1, but how do we express 1 5! 1 5! like this?
- The sequence of integers - Mathematics Stack Exchange
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 multiples of $2017$ to see how
- 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 group of a finite field is cyclic so for all n prime, it is cyclic However I believe that for certain composite n it is also cyclic Searching through past posts turned up this, where there was
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