Rank

(redirected from broke rank)
Also found in: Dictionary, Thesaurus, Medical, Legal.
Related to broke rank: broken ranks

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 ?
A LABOUR MP broke ranks yesterday and called on Gordon Brown to quit.
After swapping Westminster for Holyrood Chisholm, 57, broke ranks again when he urged Gordon Brown not to cut income tax.
The city of Burbank is also hoping for some council support for Weaver, who last year broke ranks with his four colleagues and said he was sympathetic to Burbank's problem with jet noise at Burbank Airport.
However, as the vote demonstrates, some local business agents broke ranks with their national leaders and urged their members to reject the offers.
Stephen Nickell broke ranks with his colleagues to vote in favour of a quarter-point cut in interest rates to 4.
DOWNING Street planned to threaten the Tories with "a Bush price to pay" if they broke ranks over the war in Iraq, it was claimed yesterday.
Five Republicans broke ranks on the obstruction of justice charge.
Comparing Mr Morrison to other Government experts who broke ranks over the WMD claims, he said: "These are honest, hard-working servants of the state, well used to not breaking ranks and now they have.
Sir William Kerr Fraser, ex-permanent secretary to the Scottish Office, likened him to Ministers in John Major's government who broke ranks over Europe.
Only one Democrat, Russ Feingold of Wisconsin, broke ranks on both issues, leading to splits of 56-44 in favor of the prosecution.
CHEAPER cars could be in Britain within weeks after the first big motor manufacturer broke ranks yesterday.
The pilot of a military attack plane who inexplicably broke ranks and disappeared during a training mission last week appeared to have been in control of the craft to the very end of its 90-minute flight from the Arizona desert to the Colorado Rockies, mystified Air Force officials said Friday.