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$$sum_{n=0}^infty B_n = ?$$ I tried Wolfram Alpha but I can't seem to get the input correct....
Asked on 12/08/2020 by zerosofthezeta
2 answerI am reading "Lectures on Complex Function Theory" by Takaaki Nomura. In this book, the author wrote like this:Let $f(z) = sum_{n=1}^infty a_n z^n$.Let $g(w) = sum_{n=0}^infty...
Asked on 12/08/2020 by tchappy ha
1 answerThe calculations I made below with current data suggest that over half the land of the United States would be needed. Is this indeed an accurate estimate? The United States...
Asked on 12/07/2020 by Dev Dhruv
0 answerLet $lambda^*$ be the outer measure on $mathcal{P}(mathbb{R})$. Is it true that there exist $A,B in mathcal{P}(mathbb{R})$ such that$$A cap B = emptyset$$ and ...
Asked on 12/07/2020 by Julian Vené
1 answerHere is the question I want to answer: Show that $mathbb{Z}[sqrt{3}]$ is dense in $mathbb{R}.$ I got this hint: Hint: Find $u in mathbb{Z}[sqrt{3}]^*$ with $u...
Asked on 12/07/2020 by Confusion
1 answerFor matrix $A in M_{m×n}$, let the rank be k and $r_1 , . . . , r_k$ be a subset of rows of A forming a basis...
Asked on 12/07/2020 by james black
1 answerShow that $lim_{Rtoinfty}$$oint_{|z|=R}$ $frac{P(0)}{zP(z)} =0$. We are given that $P(z)$ is a non-constant polynomial in $z$, and that $P(z) neq 0$. Here is my attempt...
Asked on 12/07/2020
1 answerI have the following question: Prove with mathematical induction that $3^n+4^nle 5^n$ for all $nge 2$.$$text{Assume true: }3^n+4^n le 5^n text{. Prove that $3^{n+1}+4^{n+1} le 5^{n+1}$}...
Asked on 12/07/2020 by E__
2 answerAccidentally, two depleted batteries got into a set of five batteries. To remove the two depleted batteries, the batteries are tested one by one in a random order. Let the...
Asked on 12/07/2020 by Francesco Totti
0 answerI am trying to use differential forms to determine the surface area element for a sphere. For a sphere of radius $r=1$. I think I am loosing something in...
Asked on 12/07/2020 by Cryo
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