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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...

matrix, and in the rightmost expression the summation sign was suppressed: this is the Einstein summation convention, which will be used throughout this article...

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}...

by Roger Penrose as a way to use the formal aspects of the Einstein summation convention to compensate for the difficulty in describing contractions...

the Kronecker delta function is for filtering terms from an Einstein summation convention. The discrete unit sample function is more simply defined as:...

=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...

see sign convention. The gravitation constant G {\displaystyle G} will be kept explicit. This article employs the Einstein summation convention, where repeated...

contraction between tensors by repeating indices as in the Einstein summation convention. Changing tetrads is a routine operation in the standard formalism...

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...

It may be determined using the following formula (using the Einstein summation convention), which is the component form of the pullback operation: g a...

{\partial u^{i}}{\partial x^{s}}}} where we have used the Einstein summation convention. Therefore, a tangent vector of a smooth curve will transform...

Levi-Civita symbol, and the indices behave according to the Einstein summation convention. Each of these tensor equations corresponds to four scalar equations...

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...

partial differentiation and the repeated index indicates that the Einstein summation convention is being used. The condition has the advantage of being Lorentz...

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...

C0 control code set Escape sequence Extended static checking Einstein summation convention Electronic speed control Electronic stability control Embryonic...

This article will use the Einstein summation convention. The theory of general relativity required the adaptation of existing theories of physical, electromagnetic...

( 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...

{\displaystyle \mathbf {U} =U^{i}\mathbf {e} _{i}} , invoking Einstein summation convention. If we want to calculate the time derivatives of these components...

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...