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- 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
- ==Calculation of the invariants of rank two tensors== ...science|engineering applications]], the principal invariants of (rank two) tensors of dimension three are sought, such as those for the [[Finite strain theory ...10 Кб (1411 слов) - 17:28, 26 марта 2024
Совпадения в текстах страниц
- ...] [[curvature]] or harmonic [[Weyl tensor]]. In fact, existence of Codazzi tensors impose strict conditions on the [[Riemann curvature tensor|curvature tensor ==Rigidity of Codazzi tensors== ...4 Кб (514 слов) - 02:03, 20 февраля 2024
- ...ssemination of results. The GCMT database contains more than 25,000 moment tensors for major earthquakes since 1976. ...2 Кб (163 слова) - 20:18, 14 марта 2024
- ...braically independent]] of the [[Weyl tensor]].<ref>P. Szekeres, Conformal Tensors. Proceedings of the Royal Society of London. Series A, Mathematical and Phy [[Category:Tensors]] ...3 Кб (297 слов) - 05:49, 5 февраля 2024
- General four-tensors are usually written in [[tensor index notation]] as ...erest are first order ([[four-vector]]s) or second order, but higher-order tensors occur. Examples are listed next. ...8 Кб (1135 слов) - 03:53, 9 марта 2024
- ...1=Juan Ramón Ruíz-Tolosa |author2=Enrique Castillo | title=From Vectors to Tensors | publisher=Springer| year=2005| isbn=978-3-540-22887-5 |url=https://books. ==Antisymmetric and symmetric tensors== ...5 Кб (754 слова) - 17:14, 1 февраля 2024
- ...nes derivative operators which take tensors under these transformations to tensors. This simplifies many NP equations, and allows one to define scalars on 2-s ...2 Кб (252 слова) - 22:25, 10 марта 2024
- ...ally the [[Riemann tensor]], the [[Weyl tensor]], the [[Ricci tensor]] and tensors formed from these by the operations of taking [[Duality (mathematics)|dual] ...3 Кб (365 слов) - 09:08, 23 февраля 2024
- * the curvature of an [[affine connection]] or [[covariant derivative]] (on tensors); ...981 байт (72 слова) - 09:09, 23 февраля 2024
- | thesis_title = Structured Tensors and the Geometry of Data ...supervised by [[Bernd Sturmfels]]. It investigates the algebraic theory of tensors and algorithms for tensor data. At [[University of Oxford]] she is a Junior ...5 Кб (614 слов) - 06:28, 1 февраля 2024
- {{Short description|Mathematical notation for tensors and spinors}} A [[tensor contraction]] (or trace) between two tensors is represented by the repetition of an index label, where one label is cont ...8 Кб (1123 слова) - 03:52, 28 декабря 2023
- ==Calculation of the invariants of rank two tensors== ...science|engineering applications]], the principal invariants of (rank two) tensors of dimension three are sought, such as those for the [[Finite strain theory ...10 Кб (1411 слов) - 17:28, 26 марта 2024
- ...[Riemann tensor|Riemann]], [[Weyl tensor|Weyl]] and [[Ricci tensor|Ricci]] tensors — which represent [[curvature]], hence the name — and possibly operatio Certain invariants formed from these curvature tensors play an important role in classifying [[spacetime]]s. Invariants are actual ...7 Кб (981 слово) - 09:08, 23 февраля 2024
- | title = Tensors, Differential Forms, and Variational Principles [[Category:Tensors]] ...4 Кб (582 слова) - 10:07, 21 февраля 2024
- ...to numeric requirements an explicit formulation based on a low number of [[tensors]] is desirable and was already introduced originally most explicit algebrai ...itrary tensor basis. In the present investigations an optimum set of basis tensors and the corresponding coefficients is to be found. ...7 Кб (1026 слов) - 18:01, 5 марта 2024
- ...contravariant components, and furthermore there is no need to distinguish tensors and [[Tensor density|tensor densities]]. All [[Cartesian tensor|Cartesian- ...eric: if both ''V'' and ''W'' have dimension greater than 1, there will be tensors that are not pure, and there will be non-linear conditions for a tensor to ...9 Кб (1224 слова) - 22:11, 14 марта 2024
- ...p, are fundamental representations that cannot be realized in the space of tensors. ...4 Кб (476 слов) - 15:17, 10 марта 2024
- 1 Кб (129 слов) - 17:14, 1 февраля 2024
- ...р Вейля]], и ''P'' [[тензор Шутена]] выражается<ref>P. Szekeres, Conformal Tensors. Proceedings of the Royal Society of London. Series A, Mathematical and Phy ...2 Кб (107 слов) - 17:50, 19 сентября 2023
- For ''tensors'', an appropriate generalization is needed. The proper definition for a rep ...nction (mathematics)#Restrictions and extensions|restrictions]] of spatial tensors: ...9 Кб (1372 слова) - 02:27, 14 февраля 2024
- ...Moskalev, V.K. Khersonski, Quantum theory of angular momentum: irreducible tensors, spherical harmonics, vector coupling coefficients, 3nj symbols, 1988, Sing [[Category:Tensors]] ...4 Кб (536 слов) - 16:43, 4 февраля 2024
