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- Einstein notation (also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies summation over...14 KB (1,960 words) - 17:33, 9 June 2024
- Tensor (section Einstein summation convention)matrix, and in the rightmost expression the summation sign was suppressed: this is the Einstein summation convention, which will be used throughout this article...69 KB (9,354 words) - 18:12, 24 August 2024
- A_{1}B_{2}-B_{1}A_{2}]} , and can also be written in components, using Einstein summation convention as ( A × B ) i = ε i j k A j B k {\displaystyle (\mathbf {A}...34 KB (4,829 words) - 17:02, 29 May 2024
- by Roger Penrose as a way to use the formal aspects of the Einstein summation convention to compensate for the difficulty in describing contractions...7 KB (1,238 words) - 16:22, 20 June 2023
- the Kronecker delta function is for filtering terms from an Einstein summation convention. The discrete unit sample function is more simply defined as:...22 KB (4,056 words) - 21:53, 29 December 2023
- =dq^{i}dq^{j}\mathbf {h} _{i}\cdot \mathbf {h} _{j}} (with Einstein summation convention). The six independent scalar products gij=hi.hj of the natural...52 KB (8,289 words) - 07:39, 16 May 2024
- see sign convention. The gravitation constant G {\displaystyle G} will be kept explicit. This article employs the Einstein summation convention, where repeated...15 KB (2,488 words) - 07:36, 27 August 2024
- contraction between tensors by repeating indices as in the Einstein summation convention. Changing tetrads is a routine operation in the standard formalism...17 KB (2,953 words) - 14:03, 7 August 2024
- infinite dimensional "functional manifold". In integrals, the Einstein summation convention is used. Alternatively, A i B i = d e f ∫ M ∑ α A α ( x...2 KB (254 words) - 15:55, 26 July 2022
- It may be determined using the following formula (using the Einstein summation convention), which is the component form of the pullback operation: g a...3 KB (566 words) - 03:49, 19 October 2023
- {\partial u^{i}}{\partial x^{s}}}} where we have used the Einstein summation convention. Therefore, a tangent vector of a smooth curve will transform...5 KB (1,063 words) - 08:31, 1 December 2023
- Levi-Civita symbol, and the indices behave according to the Einstein summation convention. Each of these tensor equations corresponds to four scalar equations...25 KB (3,929 words) - 02:56, 14 August 2024
- In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total. Beside numbers, other...23 KB (4,552 words) - 08:17, 28 August 2024
- partial differentiation and the repeated index indicates that the Einstein summation convention is being used. The condition has the advantage of being Lorentz...11 KB (1,450 words) - 15:44, 16 May 2024
- the cross product is often expressed more compactly using the Einstein summation convention as c = a × b ⇔ c m = η m i E i j k a j b k {\displaystyle...75 KB (11,475 words) - 16:24, 26 July 2024
- C0 control code set Escape sequence Extended static checking Einstein summation convention Electronic speed control Electronic stability control Embryonic...2 KB (346 words) - 05:55, 20 June 2024
- This article will use the Einstein summation convention. The theory of general relativity required the adaptation of existing theories of physical, electromagnetic...8 KB (1,206 words) - 23:30, 19 September 2023
- ( x ) {\displaystyle A(x)} that can be expressed (using the Einstein summation convention): δ ϕ ( x ) = h μ ( x ) ∂ μ ϕ ( x ) {\displaystyle \delta \phi...27 KB (3,278 words) - 12:50, 21 July 2024
- {\displaystyle \mathbf {U} =U^{i}\mathbf {e} _{i}} , invoking Einstein summation convention. If we want to calculate the time derivatives of these components...9 KB (1,432 words) - 21:48, 22 October 2022
- n_{i}I_{ij}n_{j}\,,} where the dots indicate tensor contraction and the Einstein summation convention is used. In the above table, n would be the unit Cartesian basis...22 KB (562 words) - 09:03, 28 August 2024
- not known where or when the distinction between inductive inference—the summation of raw experience—and deductive proof from a set of postulates was first
- Einstein Lecture II. The Theory of Special Relativity 1508654The Meaning of Relativity — Lecture II. The Theory of Special RelativityAlbert Einstein
- Here are my suggestions: 1. Certainly we should use follow the Einstein summation convention. 2. Let's agree to use the same signature for the Minkowski