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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 * Hierarchy of the Catholic Church * Military rank * Police ranks of the United States * Ranking 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 Level or position in society *Social class *Social position *Social status 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 ...
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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 military hierarchy. It incorporates the principles of exercising power and authority into the military chain of command—the succession of commanders superior to subordinates through which command is exercised. The military chain of command constructs an important component for organized collective action. Uniforms denote the bearer's rank by particular insignia affixed to the uniforms on a number of countries. Ranking systems have been known for most of military history to be advantageous for military operations, in particular with regards to logistics, command, and coordination. As time went on and military operations became larger and more complex, military ranks increased and the ranking systems themselves became more complex. Rank ...
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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 of federal, state, and local police and sheriff's departments have different ranks, a general model, from highest to lowest rank, would be: * Chief of police/ commissioner of police/superintendent/sheriff: The title ''commissioner of police'' is used mainly by large metropolitan departments, while ''chief of police'' is associated with small and medium-sized municipalities; both are typically appointed by a mayor or selected by the city council or commission. In some cities, "commissioner" is the member of the board of officials in charge of the department, while a "chief" is the top uniformed officer answering to the commissioner or commission. In very large departments, such as the New York City Police Department, there may be several no ...
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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 objects. It is not necessarily a total order of objects because two different objects can have the same ranking. The rankings themselves are totally ordered. For example, materials are totally preordered by hardness, while degrees of hardness are totally ordered. If two items are the same in rank it is considered a tie. By reducing detailed measures to a sequence of ordinal numbers, rankings make it possible to evaluate complex information according to certain criteria. Thus, for example, an Internet search engine may rank the pages it finds according to an estimation of their relevance, making it possible for the user quickly to select the pages they are likely to want to see. Analysis of data obtained by ranking commonly requires non-par ...
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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 dimension of the vector space spanned by its rows. Rank is thus a measure of the " nondegenerateness" of the system of linear equations and linear transformation encoded by . There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics. The rank is commonly denoted by or ; sometimes the parentheses are not written, as in .Alternative notation includes \rho (\Phi) from and . Main definitions In this section, we give some definitions of the rank of a matrix. Many definitions are possible; see Alternative definitions for several of these. The column rank of is the dimension of the column space of , while the row rank of is the dimension of the row space of . A fundamental result in ...
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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 ranks are specific for each country, there is no worldwide-unified ranking system. Among the common ranks are professor, associate professor (docent), assistant professor and instructor. In most cases, the academic rank is automatically attached to a person at the time of employment in a position with the same name, and deprived when a working relation is expired. Therefore the term "academic rank" usually means the same as "position in academia". However in some countries the terms "position" and "academic rank" are not synonyms. So in modern Russia there exist the docent and professor ranks, whereas the set of positions in academia is broader. The academic rank is conferred only after the person has been successfully working in the docent ...
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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 to chess problems, see Glossary of chess problems; for a list of named opening lines, see List of chess openings; for a list of chess-related games, see List of chess variants. A B , "lightning"] A #fast chess, fast form of chess with a very short time limit, usually three or five minutes per player for the entire game. With the advent of electronic chess clocks, the time remaining is often incremented by one or two seconds per move.Schiller 2003, p. 398 C ...
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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 seatings at state dinners, the person to whom diplomatic credentials should be presented, and the title by which the diplomat should be addressed. International diplomacy Ranks The current system of diplomatic ranks was established by the Vienna Convention on Diplomatic Relations (1961). There are three top ranks, two of which remain in use: * '' Ambassador''. An ambassador is a head of mission who is accredited to the receiving country's head of state. They head a diplomatic mission known as an embassy, headquartered in a chancery usually in the receiving state's capital. ** A papal nuncio is considered to have ambassadorial rank, and presides over a nunciature. ** Commonwealth countries send a high commissioner who presides over a ...
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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 duke), the following is a reasonably comprehensive list that provides information on both general ranks and specific differences. Distinction should be made between reigning (or formerly reigning) families and the nobility – the latter being a social class subject to and created by the former. Ranks and titles Sovereign * The word ''monarch'' is derived from the Greek μονάρχης, ''monárkhēs'', "sole ruler" (from μόνος, ''mónos'', "single" or "sole", and , ''árkhōn'', archon, "leader", "ruler", "chief", the word being the present participle of the verb ἄρχειν, ''árkhein'', "to rule", "to lead", this from the noun ὰρχή, ''arkhē'', "beginning", "authority", "principle") through the Latinized form ''monarcha''. * ...
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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 scalar extension, inner (matrix) product, and outer product in APL\360. The canonical implementation of rank may be the language '' J'', but it is also available in Dyalog APL, the International Organization for Standardization (ISO) technical standard on Extended APL, and NARS2000. Rank has several different meanings. In general, the concept of ''rank'' is used to treat an orthogonal array in terms of its subarrays. For example, a two-dimensional array may be dealt with at rank 2 as the entire matrix, or at rank 1 to work with its implicit one-dimensional columns or rows, or at rank 0 to work at the level of its individual atoms. *''Noun rank'' – The rank of a noun is a nonnegative integer. *''Verb rank'' – The rank of a verb is a li ...
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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'', each of which has a common timbre and volume throughout the keyboard compass. Most organs have many ranks of pipes of differing timbre, pitch, and volume that the player can employ singly or in combination through the use of controls called stops. A pipe organ has one or more keyboards (called '' manuals'') played by the hands, and a pedal clavier played by the feet; each keyboard controls its own division, or group of stops. The keyboard(s), pedalboard, and stops are housed in the organ's ''console''. The organ's continuous supply of wind allows it to sustain notes for as long as the corresponding keys are pressed, unlike the piano and harpsichord whose sound begins to dissipate immediately after a key is depressed. The smallest po ...
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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'' is torsion-free then it embeds into a vector space over the rational numbers of dimension rank ''A''. For finitely generated abelian groups, rank is a strong invariant and every such group is determined up to isomorphism by its rank and torsion subgroup. Torsion-free abelian groups of rank 1 have been completely classified. However, the theory of abelian groups of higher rank is more involved. The term rank has a different meaning in the context of elementary abelian groups. Definition A subset of an abelian group ''A'' is linearly independent (over Z) if the only linear combination of these elements that is equal to zero is trivial: if : \sum_\alpha n_\alpha a_\alpha = 0, \quad n_\alpha\in\mathbb, where all but finitely many coef ...
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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 separate (the data pins are shared across ranks). Details The term ''rank'' was created and defined by JEDEC, the memory industry standards group. On a DDR, DDR2, or DDR3 memory module, each rank has a 64-bit-wide data bus (72 bits wide on DIMMs that support ECC). The number of physical DRAMs depends on their individual widths. For example, a rank of ×8 (8-bit wide) DRAMs would consist of eight physical chips (nine if ECC is supported), but a rank of ×4 (4-bit wide) DRAMs would consist of 16 physical chips (18, if ECC is supported). Multiple ranks can coexist on a single DIMM, and modern DIMMs can consist of one rank (single rank), two ranks (dual rank), four ranks (quad rank), or eight ranks (octal rank). There is only a little differenc ...
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