Rank Explained

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

• • Ranking