Rank

A rank is a position in a hierarchy. It can be formally recognized—for example, cardinal, chief executive officer, general, professor—or unofficial.

People

Formal ranks

• Academic rank
• Corporate title
• Diplomatic rank
• Hierarchy of the Catholic Church
• Imperial, royal and noble ranks
• Military rank
• Police rank

Unofficial ranks

• Social class
• Social position
• Social status

Either

• Seniority

Mathematics

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

Other

• Taxonomic rank, in biology

See also

Look up rank in Wiktionary, the free dictionary.

Wikisource has the text of the 1911 Encyclopædia Britannica article "Rank".

Wikiquote has quotations related to Rank.

• All pages with titles containing rank
• Ranking

This page was last edited on 7 April 2024, at 13:18