query: What is azimuthal symmetry?
positive_passages.docid: 153198
positive_passages.text: Cylindrical vs azimuthal symmetry
negative_passages.docid: 35415
negative_passages.text: Exact meaning of radial coordinate of the Schwarzschild metric
negative_passages.docid: 52252
negative_passages.text: Equivalent definitions of isometry
negative_passages.docid: 35496
negative_passages.text: Symmetry of function defined by integral
negative_passages.docid: 62218
negative_passages.text: Why should Conservative forces have their curl equal to zero?(intuition)
negative_passages.docid: 153656
negative_passages.text: What Lagrangian counterterms might be needed in a $\phi^ 6$ theory in 3D?
negative_passages.docid: 64638
negative_passages.text: What is the physical significance of curl $\nabla\times\boldsymbol{V}$?
negative_passages.docid: 44953
negative_passages.text: Gauge symmetries and elementary particles
negative_passages.docid: 79922
negative_passages.text: Orientation reversing diffeomorphism
negative_passages.docid: 120529
negative_passages.text: Relations between diffeomorphism symmetry theories and invariant $SU(N), N \rightarrow \infty$ theories
negative_passages.docid: 62140
negative_passages.text: Direction of $d\mathbf{l}$
negative_passages.docid: 18445
negative_passages.text: How to generalize symmetry for higher-dimensional arrays?
negative_passages.docid: 85999
negative_passages.text: Geometrical representation of Contravariant and covariant vectors
negative_passages.docid: 83717
negative_passages.text: What is the definition of a symmetric distribution?
negative_passages.docid: 30425
negative_passages.text: How do we make symmetry assumptions rigorous?
negative_passages.docid: 32578
negative_passages.text: Skew-symmetric function
negative_passages.docid: 46358
negative_passages.text: geometric interpretation of $\vec v \cdot \operatorname{curl} \vec v = 0 $