query: Is this equation $\nabla_a\sqrt{-g}=0$ correct?
positive_passages.docid: 22133
positive_passages.text: Why is the covariant derivative of the determinant of the metric zero?
negative_passages.docid: 77951
negative_passages.text: Dirac's delta in 3 dimensions: proof of $\nabla^2(\|\boldsymbol{x}-\boldsymbol{x}_0\|^{-1})=-4\pi\delta(\boldsymbol{x}-\boldsymbol{x}_0)$
negative_passages.docid: 44596
negative_passages.text: If $A$ is a square matrix and $A^2 = 0$ then $A=0$. Is this true? If not, provide a counter-example.
negative_passages.docid: 46358
negative_passages.text: geometric interpretation of $\vec v \cdot \operatorname{curl} \vec v = 0 $
negative_passages.docid: 144773
negative_passages.text: function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
negative_passages.docid: 85984
negative_passages.text: How come $\frac{\partial(\partial_{\beta}A_{\gamma})}{\partial(\partial_{\mu}A_{\nu})} = g_{\beta\mu}g_{\gamma\nu}$?
negative_passages.docid: 62867
negative_passages.text: Is $E^2=(mc^2)^2+(pc)^2$ correct, or is $E=mc^2$ the correct one?
negative_passages.docid: 142596
negative_passages.text: Evans PDE Chapter 5 Problem 11: Does $Du=0$ a.e. implie $u=c$ a.e.?
negative_passages.docid: 106038
negative_passages.text: Burgers' equation $u_y + uu_x = 0$ with $u(x,0)=-x$
negative_passages.docid: 14150
negative_passages.text: Zero to the zero power – is $0^0=1$?
negative_passages.docid: 20532
negative_passages.text: Are these solutions of $2 = x^{x^{x^{\:\cdot^{\:\cdot^{\:\cdot}}}}}$ correct?
negative_passages.docid: 108642
negative_passages.text: $e^A$, where $A= \begin{bmatrix} 0 & \omega \\ -\omega& 0 \end{bmatrix}$
negative_passages.docid: 100184
negative_passages.text: physical meaning of the vector $(A \cdot \nabla) A$
negative_passages.docid: 77331
negative_passages.text: $f$ function with $\nabla f=\bar{0}$
negative_passages.docid: 95684
negative_passages.text: Show that $g'(x)+g(x)-2e^x=0$
negative_passages.docid: 144745
negative_passages.text: Proof of: If $x_0\in \mathbb R^n$ is a point of local minimum of $f$, then $\nabla f(x_0) = 0$.
negative_passages.docid: 145094
negative_passages.text: Is my basis for $U=\{p \in \mathcal P_4(\mathbb R) \mid p(6)=0\}$ correct?