# Norm

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"

## 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."