query: Proof of the Gauss's law for gravity without divergence
positive_passages.docid: 64674
positive_passages.text: Intuitive explanation of the inverse square power $\frac{1}{r^2}$ in Newton's law of gravity
negative_passages.docid: 66193
negative_passages.text: How to prove that a flat spacetime admits Minkowski coordinates?
negative_passages.docid: 152809
negative_passages.text: A question concerning the Galilean invariance of Newton's laws
negative_passages.docid: 157476
negative_passages.text: Divergence of $\vec{f} = \frac{1}{r^2} \hat{r}$
negative_passages.docid: 31027
negative_passages.text: Ahlfors "Prove the formula of Gauss"
negative_passages.docid: 86193
negative_passages.text: Rigorous proof that $dx dy=r\ dr\ d\theta$
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: 18054
negative_passages.text: Is there a proof from the first principle that the Lagrangian L = T - V?
negative_passages.docid: 137061
negative_passages.text: Understanding the different kinds of mass in gravity
negative_passages.docid: 15287
negative_passages.text: Proving that second derivative is perpendicular to curve
negative_passages.docid: 40023
negative_passages.text: Asymptotic behaviour of the riemannian metric in polar coordinates
negative_passages.docid: 125615
negative_passages.text: Defining the derivative without limits
negative_passages.docid: 56911
negative_passages.text: Proving invariance of $ds^2$ from the invariance of the speed of light
negative_passages.docid: 51073
negative_passages.text: Gauss's Law with Moving Charges
negative_passages.docid: 94173
negative_passages.text: Deriving the Lagrangian for a free particle
negative_passages.docid: 1957
negative_passages.text: Derivation of Kepler's laws
negative_passages.docid: 75055
negative_passages.text: Paradox with Gauss' law when space is uniformly charged everywhere