Rank is the relative position, value, worth, complexity, power, importance, authority, level, etc. of a person or object within a

ranking A ranking is a relationship between a set of items such that, for any two items, the first is either "ranked higher than", "ranked lower than" or "ranked equal to" the second. In mathematics, this is known as a weak order or total preorder of o ...

, such as:

Level or position in a hierarchical organization

* Academic rank *

Diplomatic rank Diplomatic rank is a system of professional and social rank used in the world of diplomacy and international relations. A diplomat's rank determines many ceremonial details, such as the order of precedence at official processions, table seating ...

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 gi ...

Military rank Military ranks are a system of hierarchical relationships, within armed forces, police, intelligence agencies or other institutions organized along military lines. The military rank system defines dominance, authority, and responsibility in ...

* Police ranks of the United States *

Ranking member In United States politics, a ranking member is the most senior member of a congressional or state legislative committee from the minority party. On many committees the ranking minority member, along with the Chair, serve as ''ex officio'' members ...

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 hierarchical social categories, the most common being the upper, middle and lower classes. Membership in a social class can for example be dependent on education, wealth, occupation, inc ...

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. St ...

Places

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

People

* Rank (surname), 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 Graeme Richard Hart (born 1955) is a New Zealand billionaire businessman and the country's wealthiest person.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) In linear algebra, the rank of a matrix is the dimension of the vector space generated (or spanned) by its columns. p. 48, § 1.16 This corresponds to the maximal number of linearly independent columns of . This, in turn, is identical to the dim ...

, 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 fiel ...

* Rank of a

greedoid In combinatorics, a greedoid is a type of set system. It arises from the notion of the matroid, which was originally introduced by Whitney in 1935 to study planar graphs and was later used by Edmonds to characterize a class of optimization pro ...

, 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 In algebraic geometry, a Cartan subgroup of a connected linear algebraic group over an algebraically closed field is the centralizer of a maximal torus (which turns out to be connected). Cartan subgroups are nilpotent and are all conjugate. Examp ...

* 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 In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensor ...

* Rank of a

vector bundle In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every p ...

Rank statistics A ranking is a relationship between a set of items such that, for any two items, the first is either "ranked higher than", "ranked lower than" or "ranked equal to" the second. In mathematics, this is known as a weak order or total preorder of ...

Science

* RANK, Receptor Activator of Nuclear Factor κ B, a type I membrane protein *

Taxonomic rank In biological classification, taxonomic rank is the relative level of a group of organisms (a taxon) in an ancestral or hereditary hierarchy. A common system consists of species, genus, family, order, class, phylum, kingdom, domain. While ...

, in biology (species, genus, family, etc.)

Other uses

Rank (formation) A rank is a line of military personnel, drawn up in line abreast (i.e. standing side by side). Usage Commonly, you start out with a height line. Shortest person in front, all the way to the tallest person in the rear. Subsequently, when troop/ ...

, a line of soldiers standing abreast * Rank, a grade of coal