query: Divergence of $\vec{f} = \frac{1}{r^2} \hat{r}$
positive_passages.docid: 144111
positive_passages.text: Divergence of $\vec{F} = \frac{\hat{\mathrm{r}}}{r^{2}}$
negative_passages.docid: 67289
negative_passages.text: Continuity of the Characteristic Function of a RV
negative_passages.docid: 105527
negative_passages.text: Show that $\lim_{r\to 0} \frac{1}{r^2}\int_{C_{r}}f(z)dz = 2 \pi i\frac{\partial f}{\partial \bar{z}}(z_0)$
negative_passages.docid: 30407
negative_passages.text: Prove that $\sum_{n=1}^\infty\frac{n}{n^2+1}$ is divergent
negative_passages.docid: 121337
negative_passages.text: Divergence of $\sum_{n=1}^{\infty} \frac{1}{2+i^n}$?
negative_passages.docid: 67747
negative_passages.text: divergence in polar coordinates
negative_passages.docid: 43329
negative_passages.text: Why is $\int_{-1}^{1} \frac{1}x \mathrm{d}x$ divergent?
negative_passages.docid: 146318
negative_passages.text: Derivative of f(x)=arth(lnx)
negative_passages.docid: 13674
negative_passages.text: Divergence of an improper integral
negative_passages.docid: 93235
negative_passages.text: Series Convergence / Divergence: $\sum \frac{3^{1/\sqrt{n}}-1}{n}$
negative_passages.docid: 100744
negative_passages.text: Proof for divergence of $\int_1^\infty \cos(x^\frac{3}{4})$
negative_passages.docid: 81486
negative_passages.text: Is any divergence-free curl-free vector field necessarily constant?
negative_passages.docid: 100608
negative_passages.text: Prove that $\|v\|_{H^1(\Omega )}\leq C(\|f\|_{L^2(\Omega )}+\|v\|_{H^{1/2}(\partial \Omega )}+\|\partial _\nu v\|_{H^{1/2}(\partial \Omega )}))$
negative_passages.docid: 72311
negative_passages.text: Multivariable divergence theorem bicylinder questiin
negative_passages.docid: 109792
negative_passages.text: Divergence as transpose of gradient?
negative_passages.docid: 40429
negative_passages.text: Differentiability of this picewise function
negative_passages.docid: 26602
negative_passages.text: Continuity and existence of directional derivatives at all directions of a $f:\mathbb{R}^{2} \to \mathbb{R}$ given by $f(x,y)=\frac{2x^2y}{x^2+y^2}$