index notation

Tensor component labeling

Index notation is a system for writing mathematical expressions using subscripts and superscripts to indicate position, sequence, or operations.

In arrays and matrices, subscripts identify elements: a₁₂ refers to row 1, column 2.

In scientific notation, superscripts show powers of ten.

Index notation allows compact representation of complex operations, particularly in physics and linear algebra where Einstein notation uses repeated indices to imply summation.

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component · vector · matrix · array · bracket · exponent · coordinate · dimension · rank · contraction · dummy · free · raised · lowered · delta · covariant derivative · algebra · symbolic

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Used worldwide · Timeless · Abstract · Rated G