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Norm

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Norm, the Norm or NORM may refer to:

In academic disciplines

In mathematics

  • Norm (mathematics), a map that assigns a length or size to a mathematical object, including:
    • Vector norm, a map that assigns a length or size to any vector in a vector space
    • Matrix norm, a map that assigns a length or size to a matrix
    • Operator norm, a map that assigns a length or size to any operator in a function space
    • Norm (abelian group), a map that assigns a length or size to any element of an abelian group
  • Field norm a map in algebraic number theory and Galois theory that generalizes the usual distance norm
  • Ideal norm, the ideal-theoretic generalization of the field norm
  • Norm (group), a certain subgroup of a group
  • Norm (map), a map from a pointset into the ordinals inducing a prewellordering
  • Norm group, a group in class field theory that is the image of the multiplicative group of a field
  • Norm function, a term in the study of Euclidean domains, sometimes used in place of "Euclidean function"

People

Arts and entertainment

Other uses

  • Norm (chess), a chess result required to qualify for an official title
  • NORM (NACK-Oriented Reliable Multicast), a transport protocol
  • Norm, a character from the Australian government physical fitness program and advertising campaign "Life. Be in it."

See also