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The tensor Ai ki (an analogue of the curvature tensor of the space An) is called the tensor of conformal curvature.
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The form of the Einstein tensor in flat space-time also appears as a canonical energy-momentum tensor of the vector potential.
Вообще- то, я тебя подстрахуюspringer springer
Note that for a Hilbert space H, HS(H) may be identified canonically with the Hilbert space tensor product of H and its conjugate space.
Это Кай, СиссиWikiMatrix WikiMatrix
In formulas (7.1), jk is the torsion tensor and R.kl is the curvature tensor of the space An .
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Doing so we can fill our space with tensors, one per each point.
ВсерасходитесьLiterature Literature
In some sense, the operation of tensor product on vector spaces is commutative and associative.
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For a two-dimensional surface in the three-dimensional space this tensor was constructed by Darboux.
Это не такая дрочильная игра, так ведь?Literature Literature
Generally for an N-dimensional space the tensor would have N2 components arranged in an N × N matrix.
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The symbol ⊗ denotes, as usual, the algebraic tensor product of linear spaces and linear operators.
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We analyse the evolution of the polarization states for an electromagnetic radiation propagating in diagonal-metric cosmological models with anisotropic curvature tensor of 3-space.
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It is shown that, if the second-order correlation tensors are invariant under space translations, they are also invariant under time translations.
Нельзя сюда!springer springer
For a stochastic stress-energy tensor associated with cosmic turbulence, it is observed that Einstein’s equations imply fluctuations in the space-time metric tensor.
Что ж, так стало чуть поспокойнейspringer springer
Indeed, so far we succeeded in specifying only the underlying normed space of such tensor products.
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First, we consider a purely algebraic preliminary notion, the tensor prod uct of linear spaces.
Просто подумал, что ты должны узнать хорошие новостиLiterature Literature
Tensor Algebra of a Vector Space In this section, V always stands for an n-dimensional vector space.
И в прах возвратимся. "Literature Literature
(The equality can be immediately checked for elementary tensors in the latter three spaces.)
Не могу вспомнитьLiterature Literature
All the results concerning tensor products of locally convex spaces are due to Grothendieck [2].
Ладно, только аккуратней- не изрыгни пламяLiterature Literature
For an Einstein space such a tensor is conservative and one of its contractions reduces to the Bel-Robinson tensor.
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The smoothness class of a tensor field A in the space E is determined by the smoothness of its components.
Прости, но моя мама учила меня:" Никогда не давай взаймы, никогда не будь должен "Literature Literature
In Riemannian space a tensor fieldHab.. satisfying ▽aHbe..+▽bHca..+▽cHab..=0 is considered; a generalization of the Maxwell tensor and the Bel-Robinson tensor is obtained.
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These numbers jointly constitute the metric tensor, which describes the curvature of space-time.
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Both these tensors are symmetric operators on the space E3.
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For the projective tensor product we discuss here, the spaces LI ( · ) are especially good.
Но ты же говорил, что он придетLiterature Literature
Geometry: linear winding functions (P.A.Shirokov); symmetric spaces with uncertain metrics (P.A.Shirokov); tensor analysis (P.A.Shirokov); conjugating in zero-systems (V. A. Yablokov); Finsler spaces (B. L. Laptev).
Они никогда не ходили в один магазин или одну и ту же химчисткуWikiMatrix WikiMatrix
Sometimes it is instructive to know an explicit form of such a space for some particular tensor factors Y .
Странно, почему их называют " Duds. "Literature Literature
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