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Einstein summation convention

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  • Einstein notation — In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention useful when dealing with coordinate formulas. It was introduced by Albert Einstein in 1916 …   Wikipedia

  • Convenio de sumación de Einstein — El convenio de sumación de Einstein, notación de Einstein o notación indicial a la convención utilizada para abreviar la escritura de sumatorios, en el que se suprime el símbolo de sumatorio (representado con la letra griega sigma Σ ). El… …   Wikipedia Español

  • Albert Einstein — Einstein redirects here. For other uses, see Einstein (disambiguation) …   Wikipedia

  • Christoffel symbols — In mathematics and physics, the Christoffel symbols, named for Elwin Bruno Christoffel (1829–1900), are numerical arrays of real numbers that describe, in coordinates, the effects of parallel transport in curved surfaces and, more generally,… …   Wikipedia

  • Covariant formulation of classical electromagnetism — Electromagnetism Electricity · …   Wikipedia

  • Alternatives to general relativity — are physical theories that attempt to describe the phenomena of gravitation in competition to Einstein s theory of general relativity.There have been many different attempts at constructing an ideal theory of gravity. These attempts can be split… …   Wikipedia

  • Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia

  • Special relativity — (SR) (also known as the special theory of relativity or STR) is the physical theory of measurement in inertial frames of reference proposed in 1905 by Albert Einstein (after considerable contributions of Hendrik Lorentz and Henri Poincaré) in the …   Wikipedia

  • Abstract index notation — is a mathematical notation for tensors and spinors that uses indices to indicate their types, rather than their components in a particular basis. The indices are mere placeholders, not related to any fixed basis, and in particular are non… …   Wikipedia

  • Levi-Civita symbol — Not to be confused with Levi Civita connection. The Levi Civita symbol, also called the permutation symbol, antisymmetric symbol, or alternating symbol, is a mathematical symbol used in particular in tensor calculus. It is named after the Italian …   Wikipedia

  • Lorentz transformation — A visualisation of the Lorentz transformation (full animation). Only one space coordinate is considered. The thin solid lines crossing at right angles depict the time and distance coordinates of an observer at rest with respect to that frame; the …   Wikipedia

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