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I have been trying to understand Laurent series expansion in complex analysis and I need someone's confirmation that what I'm doing is right. Expand the function $f(z) = frac{1}{5-2(z+frac{1}{z})}$...
Asked on 02/13/2021 by Exzone
1 answerI was reading this question Manipulating Partial Derivatives of Inverse Function when a doubt raise up. Someone can explain how the "user147263" developed the partial derivative holding $eta-xi$...
Asked on 02/13/2021 by LSS
1 answerLet $V$ be a finite dimensional vector space endowed with an inner product. Let $V_1 subset V_2 subset V $ be subvector spaces of $V$. Let ...
Asked on 02/13/2021
0 answerWhy is the realification of a simple complex Lie algebra a semisimple real Lie algebra? The realification here means to consider the complex Lie algebra as a real Lie algebra...
Asked on 02/13/2021 by richardfatman
2 answerThe equation $x^2 = 9$ has the solution set {-3,3}, that is $(x = -3 vee x = 3)$. So I would understand that$$x^2 =...
Asked on 02/12/2021 by Physor
3 answerI am going through GF Simmons' Intro to Topology and Modern Analysis. $F_n$ is a decreasing sequence of non-empty closed subsets of the Metric Space. It seems that the...
Asked on 02/12/2021 by Krishan
1 answerI have to test the following factorial for convergence: $$sum_{n=0}^infty frac{7cdot15cdot23cdotcdotcdotcdotcdot(8n-1)}{8cdot17cdot26cdotcdotcdotcdotcdot(9n-1)}$$ What I have attempted to do is use the ratio test as such: $$lim_{nto 0}lvert (frac{8n+7}{9n+8})(frac{9n-1}{8n-1})rvert =...
Asked on 02/12/2021 by floppo
2 answerI have that $(X,mathbf{A},mu)$ is a probability space and $A,B in mathbf{A}$ with $mu(A)=frac{5}{12}$ , $mu(B)=frac{1}{2}$ and $mu((Acup B)^{c}) = frac{1}{4}$. I would like to...
Asked on 02/12/2021 by Eod Enaj
0 answerWe are looking for angles x and y. I have found the values of the following angles:BEA = 74,BDA...
Asked on 02/12/2021 by Sal.Cognato
4 answerThe definition of the matrix exponential uses powers, multiplication by scalars, sums and a limit. The former 3 are given by the vector space the matrices are in. A limit...
Asked on 02/12/2021 by user736690
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