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A system for automatic generation of tensor algorithms and indicial tensor calculus, including substitution of sums

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 1979Publisher:Springer Berlin Heidelberg
Authors: Lars Hörnfeldt;

doi: 10.1007/3-540-09519-5_80

A system for automatic generation of tensor algorithms and indicial tensor calculus, including substitution of sums

Abstract

SHEEP is an algebraic system written by I. Frick [1,2] that is specialized for manipulating components of tensors. On top of this language another system has been built treating a new data type "indicial formula" representing formulas containing tensors or spinors with symbolic (letter) indices. Such formulas can be used in two ways:

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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