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mathematical physics > abstract index notation
algebra > linear algebra > abstract index notation

Terme préférentiel

abstract index notation  

Définition(s)

  • Abstract index notation (also referred to as slot-naming 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 basis and, in particular, are non-numerical. Thus it should not be confused with the Ricci calculus. The notation was introduced by Roger Penrose as a way to use the formal aspects of the Einstein summation convention to compensate for the difficulty in describing contractions and covariant differentiation in modern abstract tensor notation, while preserving the explicit covariance of the expressions involved.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Abstract_index_notation)

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http://data.loterre.fr/ark:/67375/PSR-V07JPD63-S

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