query: Exercise about differential forms and pull-back: $\omega_p=0$ if and only if $(\omega|_U)_p=0$
positive_passages.docid: 149822
positive_passages.text: If $\omega \in \Omega^q(M)$, and $(\omega|_{U})_p = 0$, is $\omega_p = 0$?
negative_passages.docid: 39334
negative_passages.text: Non-degenerate bilinear forms and invertible matrices
negative_passages.docid: 6060
negative_passages.text: Using Green's identity to show that a harmonic function with zero boundary values is identically zero
negative_passages.docid: 49155
negative_passages.text: $f: \Omega \rightarrow \Omega$ holomorphic, $f(0) = 0$, $f'(0) = 1$ implies $f(z) = z$
negative_passages.docid: 43598
negative_passages.text: Do $\omega^\omega=2^{\aleph_0}=\aleph_1$?
negative_passages.docid: 109943
negative_passages.text: Estimates of the value of a holomorphic function and its derivative
negative_passages.docid: 27812
negative_passages.text: Understanding the differential $dx$ when doing $u$-substitution
negative_passages.docid: 26658
negative_passages.text: A proof for $\nabla |u|^p = p\ \text{sgn}(u)|u|^{p-1}\nabla u$.
negative_passages.docid: 101778
negative_passages.text: Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
negative_passages.docid: 148007
negative_passages.text: Is the pushforward of the sheaf of differentials on an elliptic curve over a scheme necessarily trivial?
negative_passages.docid: 86193
negative_passages.text: Rigorous proof that $dx dy=r\ dr\ d\theta$
negative_passages.docid: 45720
negative_passages.text: Prove that $∂A$ is closed given $∂A = \text{Cl}(A) − \text{Int}(A)$
negative_passages.docid: 45363
negative_passages.text: Show that both mixed partial derivatives exist at the origin but are not equal
negative_passages.docid: 108642
negative_passages.text: $e^A$, where $A= \begin{bmatrix} 0 & \omega \\ -\omega& 0 \end{bmatrix}$
negative_passages.docid: 102279
negative_passages.text: Derivative of Quadratic Form
negative_passages.docid: 137650
negative_passages.text: Good book about differential forms
negative_passages.docid: 33278
negative_passages.text: $\delta$ differential notation