Rank

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Specific meanings

• Position within a command hierarchy
  Command hierarchy
  
  A command hierarchy is a group of people committed to carrying out orders "from the top", that is, of authority. It is part of a power structure: usually seen as the most vulnerable and also the most powerful part of it....
   requiring obedience
  Obedience
  
  The term Obedience can refer to:* Obedience * Vow of obedience as an evangelical counsel* Obedience training for dogs* Obedience trial, a dog sport...
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• Military rank
  Military rank
  
  Military rank is a system of hierarchy relationships in armed forces or civil institutions organized along military lines. Usually, uniforms denote the bearer's rank by particular insignia affixed to the uniforms....
  
• Police rank
  Police rank
  
  Lists of the ranks of various police forces:...
  
• Fire service rank
• Ranks of nobility and peerage
• Church rank, particularly in the Catholic Church
• Diplomatic rank
  Diplomatic rank
  
  Diplomatic rank is the system of professional and social rank used in the world of diplomacy and international relations. Over time it has been formalized on an international basis....
  
• Taxonomic rank
  Taxonomic rank
  
  Taxonomic rank, taxonomic category, rank, or category is an abstract term used in the scientific classification, or taxonomy, of organisms....
   - position within a taxonomy
  Taxonomy
  
  Taxonomy is the practice and science of classification. The word comes from the Greek language ', taxis and ', nomos .Taxonomies, or taxonomic schemes, are composed of taxonomic units known as taxa , or kinds of things that are arranged frequently in a hierarchical structure....
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• Rank in zoological classification
• Rank in botanical classification

• An achieved level of performance or credential
  Credential
  
  A credential is an attestation of qualification, competence, or authority issued to an individual by a third party with a relevant de jure or de facto authority or assumed competence to do so....
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• Academic rank
  Academic rank
  
  The world of academia—that is, scholars and students in a research and learning community associated with higher education typically are defined by a rather rigid set of ranks for professors and other instructors....
  
• Social rank
• Dan rank
  Dan rank
  
  The ranking system is a Japanese mark of level, which is used in traditional Japanese art and martial arts. Originally invented in a Go school in the Edo period, this system was later applied to martial arts by Kano Jigoro, the founder of judo and later introduced to other East Asian countries....
  
• Go rank
  Go ranks and ratings
  
  Skill in the traditional go is measured by a number of different national, regional and online ranking and rating systems. Traditionally, go rankings have been measured using a system of dan rank and kyu ranks....
  
• Video Game Rank

• Rank (chess), a row of the chessboard
• Rank of a playing card
  Playing card
  
  A playing card is a piece of specially prepared heavy paper, thin card, or thin plastic, figured with distinguishing motifs and used as one of a set for playing card games....
  , typically one of
• Taxi rank
  Taxi stand
  
  A taxicab stand is a queue area on a street or on private property where taxicabs line up to wait for passengers....
  , a designated area for taxi-cabs to queue up whilst waiting for passengers
• Rank of pipes in a pipe organ
  Pipe organ
  
  The pipe organ is a keyboard musical instrument that produces sound by venting mechanically compressed air through resonant Organ pipe. Each pipe produces sound at one fixed pitch, so they are provided in sets or "ranks" with one pipe or more per note, each rank having a common timbre and loudness throughout....
  
• Rank (formation)
  Rank (formation)
  
  A Rank is a line of military personnel, drawn up in line abreast .Commonly, troops called to 'On the right, fall in!' do so by forming in line abreast, determining their initial position in relation to a marker....
   Military term for a line of soldiers
• Rank (mathematics)
  Rank (mathematics)
  
  Rank means a wide variety of things in mathematics, including:* Rank * Tensor#Tensor rank* Rank of an abelian group* Rank of a Lie group* Percentile rank...
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• Rank (linear algebra, matrix theory)
  Rank (linear algebra)
  
  The column rank of a matrix_ A is the maximal number of linear independence columns of A. Likewise, the row rank is the maximal number of linearly independent rows of A....
  
• Rank of a tensor
  Tensor
  
  A tensor is an object which extends the notion of Scalar , Vector , and Matrix . The term has slightly different meanings in mathematics and physics....
  
• Rank of a vector bundle
  Vector bundle
  
  In mathematics, a vector bundle is a topology construction which makes precise the idea of a family of vector spaces parameterized by another space X : to every point x of the space X we associate a vector space V in such a way that these vector spaces fit together to form another space of the same kind as X , which is t...
  
• Rank of an abelian group
  Rank of an abelian group
  
  In mathematics, the rank, or torsion-free rank, of an abelian group measures how large a group is in terms of how large a vector space over the rational numbers one would need to "contain" it; or alternatively how large a free abelian group it can contain as a subgroup....
  
• Rank of a Lie group
• Rank (set theory)
  Rank (set theory)
  
  In mathematical set theory, the rank of a set is defined transfinite induction as the smallest ordinal number greater than the rank of any member of the set....
  
• Rank (graph theory)
  Rank (graph theory)
  
  The rank of a graph is defined as the numberwhere is the number of vertex and the number of Connected component . Equivalently, the rank of a graph is the rank of the oriented incidence matrix associated with the graph....
  
• Rank (differential topology)
  Rank (differential topology)
  
  In mathematics, the rank of a differentiable map f : M → N between differentiable manifolds at a point p ∈ M is the rank of the pushforward of f at p....
  
• Rank-into-rank
  Rank-into-rank
  
  In set theory, a branch of mathematics, a rank-into-rank is a large cardinal λ satisfying one of the following four axioms :*Axiom I3: There is a nontrivial elementary embedding of Vλ into itself....
  
• Rank of a greedoid
  Greedoid
  
  In combinatorics, a greedoid is a type of set system. It rises from the notion of the matroid, which was originally introduced by Hassler Whitney in 1935 to study planar graphs and was later used by Edmonds to characterize a class of optimization problems that can be solved by greedy algorithms....
   (maximum size of a feasible set)
• Rank of a free module
  Free module
  
  In mathematics, a free module is a free object in the category of module s. Given a set S, a free module on S is a free module with basis S....
  
• RANK
  Rank
  
  Rank is a very broad term with several meanings. As a noun it is usually related to a relative position or to some kind of ordering . As an adjective it is used to mean profuse, conspicuous, absolute, or unpleasant, especially in relation to the sense of smell or taste....
   (Receptor Activator of Nuclear Factor ? B)
• Rank (computer programming)
  Rank (computer programming)
  
  In computer programming, rank with no further specifications is usually a synonym for "number of dimensions"; thus, for instance, a bi-dimensional array has rank two, a three-dimensional array has rank three and so on....