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Index

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An index is an indirect shortcut derived from and pointing into, a greater volume of values, data, information or knowledge. Index may refer to:

Business

Publishing

Sciences


Biological sciences

  • Diversity index – a quantitative measure that increases when the number of types into which a set of entities has been classified increases, and obtains its maximum value for a given number of types when all types are represented by the same number of entities

Computer science

Economics

Geography

Library and information science

Linguistics

  • Indexicality, the variation of meaning of an utterance according to certain features of the context in which it is uttered

Mathematics

  • A number or other symbol that indicates the location of a variable in an indexed family or set such as a list or array of numbers or other mathematical objects, usually written as a subscript to the variable; e.g. in the list , the number is the index of the third element, .
  • A numerical value attached to a mathematical object, such as those listed here under Algebra and Analysis
  • The index of summation i is used to calculate a sum, e.g.:

Algebra

  • The degree of an nth root
  • The index of a subgroup is the number of a subgroup's left cosets (which is equal to the number of its right cosets).
  • The index of a linear map, is the dimension of the map's kernel minus the dimension of its cokernel.
  • The index of a real quadratic form Q is defined (but not always consistently) as pq where Q can be written as a difference of p squared linear terms and q squared linear terms.
  • The index of a matrix is the least integer k ≥ 0 such that rank(Ak+1) = rank(Ak).

Analysis

  • The winding number of an oriented closed curve on a surface relative to a point on that surface; loosely speaking, the number of times the curve goes around the point counter-clockwise
  • The index of a vector field v at an isolated zero is the degree of the map , taking points near the zero into the unit sphere.

Technologies

Mechanics

  • Indexing (motion), a kind of motion in many areas of mechanical engineering and machining

Optics

Other usages