query: Prove that $\int \int_S \hat n dS = 0$ where $\hat n$ is the outward drawn normal to any closed surface S.
positive_passages.docid: 155756
positive_passages.text: Is this problem ill-defined?
negative_passages.docid: 142981
negative_passages.text: Computing $n!\int...\int_{0<s_1<...<s_n}1ds_1...ds_n$
negative_passages.docid: 98971
negative_passages.text: Why is $\pi r^2$ the surface of a circle
negative_passages.docid: 33734
negative_passages.text: Every closed subset $E\subseteq \mathbb{R}^n$ is the zero point set of a smooth function
negative_passages.docid: 123742
negative_passages.text: Proving connectedness of the $n$-sphere
negative_passages.docid: 41173
negative_passages.text: If $f\in S_\infty$ and $\int_{\mathbb{R}}x^pf(x)d\mu=0$ for all $p\in\mathbb{N}$ then $f\equiv 0$?
negative_passages.docid: 7164
negative_passages.text: Proof of Darboux's theorem
negative_passages.docid: 83531
negative_passages.text: Prove $\iint_{x^{2}+y^{2} \leq 1} e^{x^{2}+y^{2}} d x d y \leq\left[\int_{-\frac{\sqrt{\pi}}{2}}^{\frac{\sqrt{\pi}}{2}} e^{x^{2}} d x\right]^{2} $
negative_passages.docid: 15586
negative_passages.text: Volume of the torus with an integral
negative_passages.docid: 40564
negative_passages.text: Prove that $u(x,t)=\int_{-\infty}^{\infty}c(w)e^{-iwx}e^{-kw^2t}dw\rightarrow 0$ if $x\rightarrow \infty$
negative_passages.docid: 35569
negative_passages.text: Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
negative_passages.docid: 12802
negative_passages.text: Proof of correctness of normal equation
negative_passages.docid: 19167
negative_passages.text: Show that $X_{n}\sim N(\sin(\pi n),1)$ is uniformly tight
negative_passages.docid: 5303
negative_passages.text: isolated non-normal surface singularity
negative_passages.docid: 33190
negative_passages.text: Show that the complex integral is zero for any closed, piece wise smooth path
negative_passages.docid: 50019
negative_passages.text: Prove $0$ is a partial limit of $a_n$
negative_passages.docid: 82900
negative_passages.text: Show that Minkowski sum of a closed set and a compact set in $\mathbb{R}^n$ is closed.