Multi-index notation is used to shorten expressions that contain many indices. Let and write. A multi-index is an-tuple of integers with, ...,. The notation is used to denote the length.

For monomial expressions in coordinates, multi-index notation provides a convenient shorthand. For example, writing, gives a compact notation

for thepartial derivative.

See also

This entry contributed byW.D.Van Suijlekom

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Cite this as:

Suijlekom, W.D. Van. "Multi-Index Notation." FromMathWorld--A Wolfram Resource, created byEric W. Weisstein.https://mathworld.wolfram.com/Multi-IndexNotation.html

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