Rank: Difference between revisions
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imported>Bkonrad m Reverted edits by 2Trillmike (talk) to last version by Bkonrad |
imported>Anita5192 →Mathematics: Inserted Rank of a generalized eigenvector. |
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{{Short description|A position in a hierarchy}} | {{Short description|A position in a hierarchy}} | ||
{{other uses}} | {{other uses}} | ||
A ''' | A '''rank''' is a position in a [[hierarchy]]. It can be formally recognized—for example, [[Cardinal (Catholic Church)|cardinal]], [[chief executive officer]], [[General officer|general]], [[professor]]—or unofficial. | ||
{{TOC right}} | {{TOC right}} | ||
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* [[Rank of an abelian group]], the cardinality of a maximal linearly independent subset | * [[Rank of an abelian group]], the cardinality of a maximal linearly independent subset | ||
* Rank of a [[free module]] | * Rank of a [[free module]] | ||
* Rank of a [[generalized eigenvector]] | |||
* Rank of a [[greedoid]], the maximal size of a feasible set | * 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 group]], the smallest cardinality of a generating set for the group | ||
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==See also== | ==See also== | ||
{{Wiktionary|rank}} | {{Wiktionary|rank}} | ||
{{ | {{EB1911 poster|Rank}} | ||
{{wikiquote}} | {{wikiquote}} | ||
* {{in title|rank}} | * {{in title|rank}} | ||
Latest revision as of 15:54, 27 September 2025
Template:Short description Script error: No such module "other uses". A rank is a position in a hierarchy. It can be formally recognized—for example, cardinal, chief executive officer, general, professor—or unofficial.
<templatestyles src="Template:TOC_right/styles.css" />
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
Either
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 generalized eigenvector
- 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
Template:Sister project Template:Sister project Template:Sister project