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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 ?
Another important notion of metrical theory is extrasyllabicity, where the final consonant of word-final superheavy syllables, i.
That Wilson shares Auden's understanding of the human need for boundaries, including those in metrical rules, becomes quite clear in his poem "At the Public Pool," one of the penetrating works in The Violent and the Fallen.
One can always suspect that there is some prosodic principle lurking in free verse, the ghost of accentual-syllabic meter, or ghosts of other, or nonce, metrical patterns waiting to be discovered (and unfreeing the verse in the process).
Metrical verse might also turn out to be pulse-less in actual practice (read out loud), in which case a more accurate description would be to say that free verse has no regularly recurring accent.
In January 1890, over a year before the final publication of the Urdu metrical Psalms, initiatives were started for a separate committee to prepare a similar volume in Punjabi.
Given how adherence to metrical structure is both variable and symbolic of moral order, it would be helpful to see what constitutes metrical "adherence" in Patmore.
In several of the exile communities metrical psalms were incorporated in English forms of worship being developed under Lutheran and Calvinistic influence.
Martina Huss, Usha Goswami and colleagues gave a group of 10-year-old children, with and without dyslexia, a listening task involving short tunes that had simple metrical structures with accents on certain notes.
The complex interplay between metrical abstraction and embodiment can, in fact, be seen as central to much verse theory of the last decades of the nineteenth century, and it is this dialectic--between the "imaginary" metrical modulus and the material properties of corporeal, voiced rhythms--that will be my focus here.
Most musicians understand the concept of metrical accent, or the emphasis of specific beats to give a dance-like feel to the music and also make the time signature clear.
One of the most historically revealing aspects of Quisland's critical analysis is the complex process she details in her first two chapters on the making and rephrasing of the metrical psalms during Edward VI's reign.
They claim that the poetic form, from which we can judge the nationality, the time, the content orientation, and the style of a verse, is the most prominent feature of a poem; that the language used in metrical verse is quantified; and whether a translation is faithful to and to what extent it follows the original can be observed from its outer form.