# metric

Also found in: Dictionary, Thesaurus, Medical, Financial, Acronyms, Idioms, Wikipedia.
Related to metric: metric system

## 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

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 ?
The challenge for companies seeking to improve their ability to create growth through innovation is that the metrics that many companies use to measure innovation run a high risk of actually leading companies in the wrong direction.
The Metrics Toolkit was developed by Robin Champieux, Heather Coates, and Stacy Konkiel, using funding from the 2016 Force11 PitchIT!
Although the task may not be simple, establishing and routinely utilizing the appropriate quality metrics is imperative, highly recommended and perhaps in the very near future, required for manufacturing establishments.
This paper orders Genero's metrics, Zhou's metric, Yi's metrics and Wu's metrics from simple to complex.
Acar: Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces, Topology Appl., 159(2012), 2642-2648.
Having multiple metric values is also important for development of image meta-processing, processing that analyzes the results of diverse algorithms, parameter settings, and metrics.
Red Metric boasts a number of programs geared towards accomplishing its goals.
A steel industry analyst said nickel prices have recently exceeded US\$20,000 per metric ton, or US\$21,400 in spot prices.
The metric conversion factors presented in Table B1 can be used to calculate the metric-unit equivalents of values expressed in U.S.
Existing Ontology Metrics: In software development, a metric is the measurement of particular characteristics of the application performance and efficiency.
The ex-refinery FO price of Bosicor has also seen reduction of Rs 5,784 to Rs 45,157 per metric tonne.

Site: Follow: Share:
Open / Close