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 Jan 16 comment $A$ and $B$ homeomorphic if they are different sets in bigger topological space No. ${}{}{}{}{}{}$ Dec 23 comment Sum of like powers equal to a power While you´re asking a different question, this seems related. Sep 30 comment What is the definition of a set? Which set theory are they talking about when they say that the thing which has, say, all the rings is not set? Why is not good to consider such a thing a set? Sep 5 comment Every subset of $\mathbb{R}$ with finite measure is the disjoint union of a finite number of measurable sets Related Aug 9 comment Boundary of closure of open set in $\mathbb R^2$ has measure zero This seems related. Aug 7 comment Is this proof that $\lim_{n \to \infty} (1+1/n)^n$ exists (1) new, (2) interesting? Hope you didn't find my edit too invasive. @Batominovski I second Quinn Aug 6 comment Clarification on a step in the proof of Lagrange's identity for complex numbers. Related Aug 2 comment How to find triple integral of the following question? For some basic information about writing math at this site see e.g. here, here, here and here. Aug 2 comment Can we prove that matrix multiplication by its inverse is commutative? Isn't this asking the same as this? Jul 30 comment Is proving $m(E) < \epsilon, \forall \epsilon > 0$ equivalent to prove $m(E) = 0$? @DavidC.Ullrich That looks like an answer. Jul 30 comment Set-theoretic equality The overlining is for the complementary set? Jul 28 comment Residue integral: $\int_{- \infty}^{+ \infty} \frac{e^{ax}}{1+e^x} dx$ with $0 \lt a \lt 1$. @tacos_tacos_tacos here is the same integral calculated using a rectangular contour. Jul 26 comment Is there a proof for the maximum principle without the Cauchy integral theorem? @DanielFischer That's an answer :-) Jul 26 comment A question about complex integration of $\frac{1}{p(z)}$ This is perfectly fine. And the reason why both integrals are equal is either by residues theorem or noting that those circles are homotopic. Jul 26 comment Geometric mean never exceeds arithmetic mean Which is in here Jul 26 comment $|g(x)| \leq K \int_a^x|g| \ \ \forall x \in I$ See this answer. Jul 25 comment Prove that a subset of a separable set is itself separable That's not the case, $d(x_i,e_{(i,j)})\lt r_j$. And that's because each $e_{(i,j)}$ is choose to be a point of $B(x_i,r_j)$. Jul 25 comment Prove that a subset of a separable set is itself separable @Wanderer Done. Jul 23 comment Some way to integrate $\sin(x^2)$? Oh well it's concavity. Jul 23 comment Some way to integrate $\sin(x^2)$? How does one get the estimate $\cos\left(\frac\pi2 t\right)\geq 1-t$? Drawing the things it's obvious.