Rank

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rank

1
1. any of the eight horizontal rows of squares on a chessboard
2. Music a set of organ pipes controlled by the same stop
3. Maths (of a matrix) the largest number of linearly independent rows or columns; the number of rows (or columns) of the nonzero determinant of greatest order that can be extracted from the matrix

rank

2
Botany showing vigorous and profuse growth

Rank

1. J(oseph) Arthur, 1st Baron. 1888--1972, British industrialist and film executive, whose companies dominated the British film industry in the 1940s and 1950s
2. Otto . 1884--1939, Austrian psychoanalyst, noted for his theory that the trauma of birth may be reflected in certain forms of mental illness

rank

a position in a SOCIAL STATUS hierarchy The familiar military usage reflects the wider use, which predates the language of social class.

Rank

 

in mathematics. The rank of a matrix is the order of a nonsingular minor of maximum order. It is also equal to the largest number of linearly independent rows or columns of the matrix. The rank remains unchanged under elementary transformations of the matrix—that is, when rows or columns are interchanged, when a row or column is multiplied by a nonzero number, and when rows or columns are added. A system of linear equations has a solution if and only if the rank of the matrix formed from the coefficients of the unknowns is equal to the rank of the augmented matrix, that is, the matrix formed by the addition of a column containing the constant terms to the coefficient matrix. This solution is unique if the rank is equal to the number of unknowns.


Rank

 

(Russian, chin), the service position held by military personnel and civil servants, to which apply specified official rights and obligations. In prerevolutionary Russia, ranks were conferred according to the Table of Ranks, established by Peter I the Great. The concession of estate rights and privileges was connected with the attainment of a specific rank.

All civil and military ranks were abolished by the decrees of Soviet power of Nov. 10 (23) and Dec. 16 (29), 1917. Class ranks (chiny klassnye) have been established in the USSR for workers in the Procurator’s Office.


Rank

 

a military formation in which servicemen are ranged side by side in a line. In a two-rank formation, the servicemen of one rank take a position one step behind the men of another rank; the front rank is called the first rank and the rear rank, the second. Both formations may be either close or open. In close formation the intervals between the men within a rank are equal to the width of a hand; in open formation the interval is one step or a distance ordered by the commander.

rank

[raŋk]
(geology)
A coal classification based on degree of metamorphism.
(mathematics)
The rank of a matrix is its maximum number of linearly independent rows.
The rank of a system of homogeneous linear equations equals the rank of the matrix of its coefficients.
A tensor in an n-dimensional space is of rank r if it has n r components.
The rank of a group G is the number of elements in the basis of the quotient group of G over the subgroup consisting of all elements of G having finite period.
The rank of a place or valuation is equal to the number of proper prime ideals in its valuation ring.
The rank of a prime ideal P is the largest number n for which there exists a sequence P0= P, P1, P2, … , Pn of prime ideals such that Pi is a subset of Pi-1.
(mechanical engineering)
The number of rotational joints belonging to a robot.
(statistics)
The number assigned to an observation if a collection of observations is ordered from smallest to largest and each observation is given the number corresponding to its place in the order.
References in periodicals archive ?
The same has again happened against 148th ranker Syria in a semifinal match of West Asia Soccer Championship in Kuwait.
He was always among the brighter ones our school had - a top ranker in academics, excelled in sports and took part in extra-curricular activities as well.
The nonpayment came to light after Richie sold Coldwell Ranker Advantage to the Little Rock realty firm of Rector Phillips Morse in December 2008.
Earlier on, Jang Kyeong-hun in the men's under-74 kilogram division was defeated 4-1 by the world's top ranker and the eventual winner Alireza Nassrazadany of Iran in the first round.
KARACHI, June 25 -- The dispute between the Police Service of Pakistan (PSP) officers and Ranker Police Officers (RPOs) is obstructing the law enforcers from effectively maintaining the law and order situation in the city, Daily Times learnt Thursday.
She has been an excellent pupil throughout her school career, and has been the top ranker in all the grades.
Even if she is not fertile, she's more likely to vocalize when she's with a high-ranking male than with a low ranker.
Thank God the Dark Lord was there to tell it like it really was - reliably knocking down every over praised mid ranker.
Besides the remote possibility of contracting a disease from meat that came from a diseased animal (think FMD, mad cow, chronic wasting disease) the digestion of muscle proteins make the manure have a ranker odor.
ABSTRACT: The rank aggregation problem has been studied extensively in recent years with a focus on how to combine several different rankers to obtain a consensus aggregate ranker.
1 Greg Rusedski a high ranker (Friday Night With Jonathan Ross, BBC1, Friday).
Structured workshops and forums comprise the cornerstone of the effort, says Richard Ranker, director of Instructional Technology Services since 2004.