Rank

Rank refers to the relative position, value, worth, complexity, power, importance, authority, level, etc. of a person or object within a ranking. The term includes:

Military

• Military rank
• Rank (formation), a line of soldiers

Mathematics

• Rank (linear algebra), the dimension of the vector space generated (or spanned) by a matrix's columns
• Rank (set theory)
• Rank (graph theory)
• Rank (differential topology)
• Rank of a partition, at least two definitions in number theory
• Rank of a tensor
• Rank of a Vector bundle
• Rank of a group, the smallest cardinality of a generating set for the group
• Rank of an abelian group, the cardinality of a maximal linearly independent subset
• Rank of a Lie group - see Cartan subgroup
• Rank of a matroid, the maximal size of an independent set
• Rank of a greedoid, the maximal size of a feasible set
• Rank of a free module
• Rank statistics
• Rank (type theory)

Places

• Rank, Iran, a village
• Rank, Nepal, a village development committee

Businesses

• The Rank Group plc, European gaming and leisure business
  • Rank Organisation, a British entertainment company formed in 1937, now part of the Rank Group
• Rank Group Limited, an investment company owned by Graeme Hart

Arts and entertainment

• Rank (film), a short film directed by David Yates
• Rank (album), a live album by the Smiths
• "Rank", a song by Artwork from A Bugged Out Mix

In biology

• Taxonomic rank in biology (species, genus, family, etc.)
• RANK, Receptor Activator of Nuclear Factor κ B, a type I membrane protein

Other uses

• Rank (chess), a row of the chessboard
• Rank (surname), a list of people
• Rank (computer programming)
  • Rank (J programming language)
• Rank, a set of pipes in a pipe organ
• Rank, the grade of coal described by Hilt's Law

See also

• All pages with titles containing rank