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This question relates to pages 89 and 96 the following text (pages 102 and 109 of the pdf): https://promathmedia.files.wordpress.com/2013/10/alexander_schrijver_theory_of_linear_and_integerbookfi-org.pdf The author gives the following variant of Farkas'...
Asked on 01/05/2021 by DL1
0 answerReading Analytical Mechanics by Fasano and Marmi, I bumped into this identity with natural parametrization. Where does the identitybegin{equation}s=int_0^sleft|frac{dboldsymbol{x}}{dsigma}right|dsigma...
Asked on 01/05/2021 by Feynman_00
1 answerI have to evaluate the following limit$$lim_{x to 0}{frac{sin( pi cos x)}{x sin x} }$$My solution is: $$lim_{x to 0}{frac{sin( pi cos x)}{x sin...
Asked on 01/05/2021 by Anne
6 answerTwo forest patches have, respectively, $100$ and $200$ teak trees of the same age. In a given season, all trees shed some of their leaves at random. The...
Asked on 01/05/2021 by Phi beta kappa
1 answerIf $u$ satisfies the Laplace equation $nabla^2uequiv u_{xx}+u_{yy}=0$, show that both $xu$ and $yu$ satisfy the biharmonic equation$$nabla^4begin{pmatrix}xu\\yuend{pmatrix}=0$$but $xu$ and $yu$ will not...
Asked on 01/04/2021 by Sara Azzad
1 answerPoint $A$ is one of the points of intersection of two given intersecting circles. Any line is drawn through A to cut the circles again in P and Q....
Asked on 01/04/2021 by Maverick
1 answerLet $f: N rightarrow N$ satisfies $$f(n) = sum_{d|n, dneq n} f(d)$$ and $f(1) = 1$ Compute $$sum_{k=0}^{infty} frac{f(2021^k)}{2021^k}$$ The function is curious. I found ...
Asked on 01/04/2021 by Matt Frank
1 answerI was reading up on direct integrals of Hilbert spaces and saw the section on it from Dixmier's Von Neumann Algebras on Google Books. In Part II Chapter 1 Section...
Asked on 01/04/2021 by Jeff Rubin
1 answerThe slit disc is $D$ $(-1,a]$ where a belongs to $(-1,1)$. The question asks me to find a conformal map from this slit disc to the...
Asked on 01/04/2021 by qwerty
1 answerThis question came to my mind when I was following the book of Goldberg on Real Analysis for introduction of improper integrals. Suppose $f:[a,infty)$ is a function such that...
Asked on 01/04/2021
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