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 ...

, such as:

Level or position in a hierarchical organization

Academic rank Academic rank (also scientific rank) is the rank of a scientist or teacher in a college, high school, university or research establishment. The academic ranks indicate relative importance and power of individuals in academia. The 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 * Hierarchy of the Catholic Church *

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 a ...

Police ranks of the United States The United States police-rank model is generally quasi-military in structure. A uniform system of insignia based on that of the US Army and Marine Corps is used to help identify an officer's seniority. Ranks Although the large and varied number ...

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'' member ...

, S politicsthe most senior member of a committee from the minority party, and thus second-most senior member of a committee *

Imperial, royal and noble ranks Traditional rank amongst European royalty, peers, and nobility is rooted in Late Antiquity and the Middle Ages. Although they vary over time and among geographic regions (for example, one region's prince might be equal to another's grand duk ...

Level or position in society

* Social class * Social position * Social status

Places

* Rank, Iran, a village *

Rank, Nepal Rank is a village development committee in Rolpa District in the Rapti Zone of north-eastern Nepal. At the time of the 1991 Nepal census The 1991 Nepal census was a widespread national census conducted by the Nepal Central Bureau of Statistics ...

, 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) This glossary of chess explains commonly used terms in chess, in alphabetical order. Some of these terms have their own pages, like ''fork'' and '' pin''. For a list of unorthodox chess pieces, see Fairy chess piece; for a list of terms specific ...

, a row of the chessboard * ''Rank'' (film), a short film directed by David Yates * Rank, a set of pipes in a pipe organ

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 The Rank Group is a gambling company based in the United Kingdom. Rank was involved in the cinema and motion picture industry until 2006, and continues to use the Gongman logo originally used by the Rank Organisation's film distribution subsi ...

plc, European gaming and leisure business **

The Rank Organisation The Rank Organisation was a British entertainment conglomerate founded by industrialist J. Arthur Rank in April 1937. It quickly became the largest and most vertically integrated film company in the United Kingdom, owning production, distribut ...

, a British entertainment company formed in 1937, now part of the Rank Group

Computing and technology

Rank (computer programming) In computer programming, rank with no further specifications is usually a synonym for (or refers to) "number of dimensions"; thus, a two-dimensional array has rank ''two'', a three-dimensional array has rank ''three'' and so on. Strictly, no formal ...

Rank (J programming language) Rank is a generalization of looping as used in scalar (non- array-oriented) programming languages. It is also a generalization of '' mapcar'' in the language ''Lisp'' and ''map'' in modern functional programming languages, and a generalization of ...

Memory rank A memory rank is a set of DRAM chips connected to the same chip select, which are therefore accessed simultaneously. In practice all DRAM chips share all of the other command and control signals, and only the chip select pins for each rank are se ...

, 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) In mathematics, the rank of a differentiable map f:M\to N between differentiable manifolds at a point p\in M is the rank of the derivative of f at p. Recall that the derivative of f at p is a linear map :d_p f : T_p M \to T_N\, from the tangent sp ...

Rank (graph theory) In graph theory, a branch of mathematics, the rank of an undirected graph has two unrelated definitions. Let equal the number of vertices of the graph. * In the matrix theory of graphs the rank of an undirected graph is defined as the rank of ...

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) In set theory and related branches of mathematics, the von Neumann universe, or von Neumann hierarchy of sets, denoted by ''V'', is the class of hereditary well-founded sets. This collection, which is formalized by Zermelo–Fraenkel set theory (ZF ...

Rank (type theory) In programming languages and type theory, parametric polymorphism allows a single piece of code to be given a "generic" type, using variables in place of actual types, and then instantiated with particular types as needed. Parametrically polymorph ...

* Rank of an abelian group, the cardinality of a maximal linearly independent subset * Rank of a free module * 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 Hassler Whitney, Whitney in 1935 to study planar graphs and was later used by Jack Edmonds, Edmonds to characterize a ...

, the maximal size of a feasible set *

Rank of a group In the mathematical subject of group theory, the rank of a group ''G'', denoted rank(''G''), can refer to the smallest cardinality of a generating set for ''G'', that is : \operatorname(G)=\min\. If ''G'' is a finitely generated group, then th ...

, 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 In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces. There are many equivalent ways to define a matroid axiomatically, the most significant being ...

, the maximal size of an independent set *

Rank of a partition In mathematics, particularly in the fields of number theory and combinatorics, the rank of a partition of a positive integer is a certain integer associated with the partition. In fact at least two different definitions of rank appear in the lit ...

, 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

Science

RANK 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 * ...

, 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