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- ...l]].<ref name="VTEP">{{cite book|author1=Danielson, D.A.|title=Vectors and Tensors in Engineering and Physics, 2nd Edition|date=2003|publisher=CRC Press|isbn= ...uctures 6407-6427 (2004). He also wrote a graduate textbook on Vectors and Tensors. ...4 Кб (385 слов) - 12:28, 28 февраля 2024
- * [[Component-free treatment of tensors]] ...4 Кб (507 слов) - 12:53, 21 февраля 2024
- ...he [[Riemann tensor]] of a [[pseudo-Riemannian manifold]] into lower order tensors with properties similar to the [[electric field]] and [[magnetic field]]. [[Category:Tensors in general relativity]] ...4 Кб (497 слов) - 16:33, 7 февраля 2024
- == Symmetric invariant tensors of simple Lie algebras== ...g Casimir elements is equivalent to doing the same for symmetric invariant tensors. ...20 Кб (3059 слов) - 14:38, 15 февраля 2024
- where <math>R,\overline{R}</math> are Riemann curvature tensors of <math>M,N</math>.</blockquote>In words, it states that <math>f</math> is '''Theorem''': For Riemann curvature tensors <math>R,\overline{R}</math> and all broken geodesics (a broken geodesic is ...8 Кб (1255 слов) - 12:21, 15 февраля 2024
- {{Short description|Manner of referring to elements of arrays or tensors}} ...]]s or [[Variable (mathematics)|variables]]. The array takes the form of [[tensors]] in general, since these can be treated as multi-dimensional arrays. Speci ...10 Кб (1490 слов) - 19:04, 25 марта 2024
- ...> and the potential energy <math>W</math> are just traces of the following tensors and Chandrasekhar shows that in this case, the tensors can take only the following form ...8 Кб (1361 слово) - 17:58, 16 февраля 2024
- ==Riemann and Ricci tensors== ...7 Кб (1032 слова) - 08:07, 11 февраля 2024
- ...on element or <math>q = 0</math>. The given tensor products only have pure tensors. Therefore, it suffices to show that if a pure tensor <math>m \otimes q </m ...nonzero pure tensors. <math>R \otimes_R P</math> is composed only of pure tensors: For <math> x_i \in R, \sum_{i} x_i (r_i \otimes p_i) = \sum_i 1 \otimes ...14 Кб (2188 слов) - 15:29, 5 марта 2024
- * [[Tensor contraction]], an operation on one or more tensors that arises from the natural pairing of a finite-dimensional vector space a ...3 Кб (296 слов) - 10:07, 21 февраля 2024
- [[Category:Tensors in general relativity]] ...2 Кб (297 слов) - 22:30, 7 февраля 2024
- *[[Tensor contraction]], in mathematics and physics, an operation on tensors ...3 Кб (333 слова) - 10:04, 21 февраля 2024
- | title = Tensors, Differential Forms, and Variational Principles ...3 Кб (302 слова) - 06:24, 25 февраля 2024
- ...econd [[Invariants of tensors|principle invariants]] of their respective [[tensors]].<ref name="Nye1953" /> The parameters <math>A</math> and <math>n</math> a ...a [[generalized Newtonian fluid]], where the deviatoric stress and strain tensors are related by a viscosity scalar: ...14 Кб (1933 слова) - 19:38, 14 марта 2024
- ...ications]].<ref>G. Kron, ''[https://archive.org/details/TensorsForCircuits Tensors for Circuits]'' (1959), Dover Publications.</ref> ...phy was compiled in 1959 and appeared in pages xiii to xviii of his book ''Tensors for Circuits''. ...12 Кб (1700 слов) - 01:58, 11 марта 2024
- [[Category:Tensors in general relativity]] [[Category:Tensors]] ...6 Кб (877 слов) - 22:19, 21 февраля 2024
- ==Further curvature tensors== In general the following tensors and functions do not describe the curvature tensor completely, ...12 Кб (1940 слов) - 09:09, 23 февраля 2024
- Using of [[Invariant theory|invariant polynomial tensors]] in [[Cartesian coordinate system|Cartesian coordinates]], as shown in a n ...oordinates]] are not involved here. The rules for using harmonic symmetric tensors are demonstrated that directly follow from their properties. These rules ar ...28 Кб (4321 слово) - 11:03, 19 марта 2024
- |title=Immanants and decomposable tensors that symmetrize to zero ...3 Кб (366 слов) - 07:35, 11 марта 2024
- ...h supports for several <code>builtin</code>s, matrix operations, federated tensors and lineage traces. * New tensor data model (basic tensors of different value types, data tensors with schema) [experimental] ...10 Кб (1275 слов) - 23:09, 1 февраля 2024