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HOMOTOPY GROUPS U(N) AND SU(N): $\\PI_M(U(N))=\\PI_M(SU(N))$
Oct 3, 2017 Am I correct that homotopy groups of U(N) U (N) and SU(N) S U (N) are the same,
From math.stackexchange.com


HOW DO WE CALCULATE FACTORIALS FOR NUMBERS WITH DECIMAL PLACES?
I was playing with my calculator when I tried 1.5!. It came out to be 1.32934038817. Now my question is that isn't factorial for natural numbers only? Like 2! is 2 × 1, but how do we express …
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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 …
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WHEN IS THE GROUP OF UNITS IN $\\MATHBB{Z}_N$ CYCLIC?
Let Un U n denote the group of units in Zn Z n with multiplication modulo n n. It is easy to show that this is a group. My question is how to characterize the n n for which it is cyclic. Since the …
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MATHEMATICS STACK EXCHANGE
Q&A for people studying math at any level and professionals in related fields
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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, …
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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 ∗ …
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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.
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$\\OPERATORNAME{AUT}(\\MATHBB Z_N)$ IS ISOMORPHIC TO $U_N$.
Aug 3, 2023 It might be using ring theory in a non-essential way, but it is conceptually simpler because the endomorphisms are easier to describe than the automorphisms, and since the …
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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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