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metric

1. of or relating to the metre or metric system
2. Maths denoting or relating to a set containing pairs of points for each of which a non-negative real number ρ(x, y) (the distance) can be defined, satisfying specific conditions
3. Maths the function ρ(x, y) satisfying the conditions of membership of such a set (a metric space)

Metric

 

a mathematical term that denotes the rule for determining a given distance between any two points (elements) of a given set A. A real number function that satisfies the following three conditions is called the distance ρ (a, b) between the points a and b of the set A: (1) ρ (a, b) ≧ 0, where ρ(a, b) = 0 if and only if a = b; (2) ρ(a, b) = ρ(b, a); and (3) ρ(a, b) + ρ(b, c) ≧ ρ(a, c). For a given set M, a metric may be introduced in other ways. For example, on a plane we may take not only the ordinary Euclidean distance

as the distance between points a and b having coordinates (x1, y1) and (x2, y2), respectively, but we may take other distances as well, for example,

ρ1(a, b) = ǀx1x2ǀ + ǀy1y2ǀ

In (functional and coordinate) vector spaces a metric is often defined as a norm or, sometimes, as a scalar product. In differential geometry, a metric is introduced by specifying an element of arc length by means of a differential quadratic form. A set that has a metric introduced in it is referred to as a metric space.

A metric is sometimes understood to denote a rule for determining not only distances but also angles; an example is a projective metric.

V. I. SOBOLEV

metric

[′me·trik]
(mathematics)
A real valued “distance” function on a topological space X satisfying four rules: for x, y, and z in X, the distance from x to itself is zero; the distance from x to y is positive if x and y are different; the distance from x to y is the same as the distance from y to x ; and the distance from x to y is less than or equal to the distance from x to z plus the distance from z to y (triangle inequality).

metric

metric

Measurement. Although metric generally refers to a system of weights and measures, software engineers often use the term as simply "measurement." For example, "is there a metric for this process?" See software metrics.
References in periodicals archive ?
In this way, metrical analysis can contribute to the ongoing conversations in the field of Historical Poetics on persistence and innovation of forms, the limits of authorial control, genre as sedimented historical content, and the nature of literary tradition in the modern age (Kliger, "Dostoevsky and the Novel-Tragedy"; Kliger, "Resurgent Forms"; Kunichika; Kliger and Maslov).
To appreciate more fully the value and meaning of versatility in meter, readers might well turn from Wilson's book about Steele to Wilson's own volumes of metrical poetry.
Robert Stewart reports that the volume Zaburaur Git (Psalms and Hymns) was used largely for this purpose, with metrical versions prepared by various Christian missions.
Another five devote themselves to individual poems or authors from the Victorian period: "'Break, Break, Break' into Song," by Yopie Prins, is a self-described "exercise in historical prosody, analyzing how late Victorian metrical discourse made possible the imagination of the poem 'as if' it might be heard" (p.
This ending for both "The Metrical Meditations of a Cod" and Spirits in Bondage implies (but does not strictly prove, despite what was just said about the closings) that the manuscript "Metrical Meditations" was felt by Lewis to be complete.
Scholarly study of the metrical psalms as literature nicely reflects the changing emphases in critical scholarship in the past eighty years or so.
Washington, June 30 (ANI): A study led by an Indian-origin researcher has shown a strong association between the ability to perceive metrical structure in music and learning to read among children with dyslexia.
In Berisso's poetry, for example, the reinvention of metrical forms, with its subtle philological variations, is a conceptual operation of the highest order, a veritable inventio that aims to allegorize its models, sometimes in arguably didactic ways, such as in the octaves of "Esortativi con dichiarazione acrostica" (Exhortatives with acrostic statement; in Annali [Annals; Oedipus, 2002]), wherein the flow of exhortations directed to the beloved is framed by the acrostic "TI AMO CON LA FORZA DELLA RIVOLUZIONE" (I love you with the force of the revolution).
For this reason alone, Beth Quisland's assessment of Tudor metrical psalters is an important guide to a neglected resource.
Tudur Hallam from Foelgastell, Carmarthenshire was presented with the Eisteddfod Chair for his poem in cynghanedd (strict metrical alliteration) on the subject 'Gaining Ground'.
As one flips through the pages of the catalogue for his new exhibition, Sutradhar , that opens in the city on Monday, one is struck by the metrical quality of his paintings -- the dancers seem ready to break into the next step, as if they have been frozen on canvas for just one ephemeral moment.
The Chinese introduction of English metrical poetry dates back to the Qing Dynasty (1644-1908), and various Chinese translation methods have emerged.