query: $F$-related vector fields
positive_passages.docid: 147876
positive_passages.text: Find $F$-related vector fields on $M\times N$, where $F(x)=(x, f(x))$
negative_passages.docid: 44650
negative_passages.text: Several stationary points of the action functional
negative_passages.docid: 115275
negative_passages.text: Vector field of charges
negative_passages.docid: 95076
negative_passages.text: Finding a vector potential for a solenoidal vector field
negative_passages.docid: 21178
negative_passages.text: Show that $f$ extends to a smooth map.
negative_passages.docid: 69987
negative_passages.text: What is the $L^2$ gradient flow?
negative_passages.docid: 60685
negative_passages.text: The vector space formed on C[0,1] and the norm $(\int_{0}^{1}|f(t)|^2 dt)^{1/2} $
negative_passages.docid: 29030
negative_passages.text: Vector space with new scalar multiplication defined over finite field still vector space?
negative_passages.docid: 123235
negative_passages.text: A smooth vector field on $S^2$ vanishing at a single point
negative_passages.docid: 149593
negative_passages.text: Global sections of a tensor product of vector bundles on a smooth manifold
negative_passages.docid: 39094
negative_passages.text: Lie bracket of vector fields on $\Bbb R^{n}$
negative_passages.docid: 29810
negative_passages.text: Derivation of a generalization of Mertens' Third Theorem.
negative_passages.docid: 16293
negative_passages.text: N-dimensional generalization of vector curl from elements of Jacobian
negative_passages.docid: 61013
negative_passages.text: Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
negative_passages.docid: 7828
negative_passages.text: Proof that an integral domain that is a finite-dimensional $F$-vector space is in fact a field
negative_passages.docid: 91440
negative_passages.text: Existence of a vector field with one singularity on a surface
negative_passages.docid: 148263
negative_passages.text: Interacting Fields in QFT