covariant index

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covariant index [kō′ver·ē·ənt ′in‚deks]

(mathematics)

A tensor index such that, under a transformation of coordinates, the procedure for obtaining a component of the transformed tensor for which this index has valuepinvolves taking a sum overqof the product of a component of the original tensor for which the index has the valueqtimes the partial derivative of theqth original coordinate with respect to thepth transformed coordinate; it is written as a subscript.

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