Einstein summation convention

GPTKB entity
AI-created image of Einstein summation convention
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Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alternativeTo explicit summation notation
gptkbp:appliesTo indices in mathematical expressions
gptkbp:commonIn gptkb:theoretical_physics
differential geometry
gptkbp:field gptkb:mathematics
physics
gptkbp:hasRule repeated index implies summation
https://www.w3.org/2000/01/rdf-schema#label Einstein summation convention
gptkbp:introducedIn 1916
gptkbp:namedAfter gptkb:Albert_Einstein
gptkbp:notation implicit summation
gptkbp:purpose simplify expressions involving sums over indices
gptkbp:usedIn gptkb:general_relativity
tensor calculus
gptkbp:bfsParent gptkb:Albert_Einstein
gptkbp:bfsLayer 3