Rank (linear Algebra), Rank
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Rank is the relative position, value, worth, complexity, power, importance, authority, level, etc. of a person or object within a ranking, such as:


Level or position in a hierarchical organization

* Academic rank * Diplomatic rank *
Hierarchy A hierarchy (from Greek: , from , 'president of sacred rites') is an arrangement of items (objects, names, values, categories, etc.) that are represented as being "above", "below", or "at the same level as" one another. Hierarchy is an important ...
*
Hierarchy of the Catholic Church The hierarchy of the Catholic Church consists of its bishops, priests, and deacons. In the ecclesiological sense of the term, "hierarchy" strictly means the "holy ordering" of the Church, the Body of Christ, so to respect the diversity of gif ...
* Military rank * Police ranks of the United States * Ranking member,
S politics S, or s, is the nineteenth letter in the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ''ess'' (pronounced ), plural ''esses''. History ...
the most senior member of a committee from the minority party, and thus second-most senior member of a committee * Imperial, royal and noble ranks


Level or position in society

*
Social class A social class is a grouping of people into a set of Dominance hierarchy, hierarchical social categories, the most common being the Upper class, upper, Middle class, middle and Working class, lower classes. Membership in a social class can for ...
*
Social position Social position is the position of an individual in a given society and culture. A given position (for example, the occupation of ''priest'') may belong to many individuals. Definition Stanley Wasserman and Katherine Faust Stanley cautioned th ...
*
Social status Social status is the level of social value a person is considered to possess. More specifically, it refers to the relative level of respect, honour, assumed competence, and deference accorded to people, groups, and organizations in a society. Stat ...


Places

*
Rank, Iran Rank ( fa, رانك, also Romanized as Rānk) is a village in Polan Rural District, Polan District, Chabahar County, Sistan and Baluchestan Province, Iran. At the 2006 census, its population was 304, in 54 families. References

Populate ...
, a village * Rank, Nepal, a village development committee


People

*
Rank (surname) Rank is the surname of: * J. Arthur Rank, 1st Baron Rank (1888–1972), British industrialist and film producer * Joseph Rank (1854-1943), founder of Rank Hovis McDougall, one of the UK's largest food production and flour-milling businesses * Otto ...
, a list of people with the name


Arts, entertainment, and media


Music

* ''Rank'' (album), a live album by the Smiths * "Rank", a song by Artwork from '' A Bugged Out Mix''


Other arts, entertainment, and media

* Rank (chess), a row of the chessboard * ''Rank'' (film), a short film directed by David Yates * Rank, a set of pipes in a
pipe organ The pipe organ is a musical instrument that produces sound by driving pressurized air (called ''wind'') through the organ pipes selected from a keyboard. Because each pipe produces a single pitch, the pipes are provided in sets called ''ranks ...


Brands and enterprises

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


Computing and technology

* Rank (computer programming) ** Rank (J programming language) * Memory rank, or ranking, of computer memory, a set of DRAM chips connected to the same chip select, and which are able to be accessed simultaneously


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 In mathematics, the rank, Prüfer rank, or torsion-free rank of an abelian group ''A'' is the cardinality of a maximal linearly independent subset. The rank of ''A'' determines the size of the largest free abelian group contained in ''A''. If ''A'' ...
, the cardinality of a maximal linearly independent subset * Rank of a
free module In mathematics, a free module is a module that has a basis – that is, a generating set consisting of linearly independent elements. Every vector space is a free module, but, if the ring of the coefficients is not a division ring (not a field in t ...
* 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


Science

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


Other uses

* Rank (formation), a line of soldiers standing abreast * Rank, a
grade of coal Coal analysis techniques are specific analytical methods designed to measure the particular physical and chemical properties of coals. These methods are used primarily to determine the suitability of coal for coke (fuel), coking, power generation o ...


See also

* {{disambiguation, geo