contravariant index

contravariant index

[¦kän·trə′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 the value p involves taking a sum over q of the product of a component of the original tensor for which the index has the value q times the partial derivative of the p th transformed coordinate with respect to the q th original coordinate; it is written as a superscript.