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Aug
28
awarded  Nice Question
Aug
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awarded  Notable Question
Aug
13
comment Share the beer fairly in a finite number of pours
WLOG one can assume that $p \leq q \leq B$ and so $B/2 \leq p \leq B$ and $1 \leq q \leq p$ i think. We need one container greater or equal to $B/2$ otherwise it is impossible to split the liquid into two equal containers. There are also many trivial cases like $q=1$, or $p=B/2^k$ and $q>B/2$. For every $k \in \mathbb{Z}$. Hmm...
Aug
13
awarded  Socratic
Aug
12
revised Share the beer fairly in a finite number of pours
added 153 characters in body
Aug
12
asked Share the beer fairly in a finite number of pours
May
30
answered Integral of $\frac{\sin^2(nx/2)}{\sin^2(x/2)}$ over $[-\pi,\pi]$.
May
23
asked Understanding a Wermer's counterexample.
May
23
comment Relation between runge domain and polynomial convexity
@GeorgesElencwajg, can you look at the comment below your answer? Why does the article claim that these two concepts are equivalent? link.springer.com/content/pdf/10.1007%2FBF01420524.pdf in the first sentence he says "In [1] we gave an example of a domain in $\mathbb{C}^3$ which is analytically equivalent to the polycyclinder in $\mathbb{C}^3$, but which is not a Runge domain." and links to ""An example concerning polynomial convexity". I am still confused
May
23
revised Relation between runge domain and polynomial convexity
added 66 characters in body
May
23
comment Relation between runge domain and polynomial convexity
I agree with you, I am very new to this subject so sorry for coming of as arrogant.
May
22
comment Relation between runge domain and polynomial convexity
Thank you =) Is it clear from the paper link.springer.com/content/pdf/10.1007%2FBF01420524.pdf that the bounded domain should also be polynomialy convex (and if not is there a way to prove it)?
May
22
comment Relation between runge domain and polynomial convexity
@GeorgesElencwajg I agree with the strict equality sign, but what do you mean by your second comment? I took the definition straight from here encyclopediaofmath.org/index.php/Polynomial_convexity.
May
22
revised Relation between runge domain and polynomial convexity
added 248 characters in body
May
22
accepted Counterexample: Different curves
May
22
accepted The pedantic function $\frac{y \cdot \sin(x^5y^3+x^3)}{(x^4y^8+x^6+3y^2)\cos(x^2y)^2}$
May
22
accepted Prove if $T\in\mathcal{D}'(\mathbb{R})$ and $\mathrm{d}T/\mathrm{d}x=0$ then $T$ is the constant distribution.
May
22
asked Relation between runge domain and polynomial convexity