Difference between metric and a measure in mathametics
Answers
Metric is a synonym of measure.
In context|mathematics|lang=en terms the difference between measure and metric is that measure is (mathematics) a function that assigns a non-negative number to a given set following the mathematical nature that is common among length, volume, probability and the like while metric is (mathematics) a measurement of the "distance" between two points in some metric space: it is a real-valued function d''(''x'',''y'') between points ''x'' and ''y satisfying the following properties: (1) "positive definiteness": d(x,y) \ge 0 and d(x,y) = 0 \mbox{ iff } x=y , (2) "symmetry": d(x,y) = d(y,x) , and (3) "triangle inequality": d(x,y) \le d(x,z) + d(z,y) .
As nouns the difference between measure and metric is that measure is the quantity, size, weight, distance or capacity of a substance compared to a designated standard while metric is a measure for something; a means of deriving a quantitative measurement or approximation for otherwise qualitative phenomena (especially used in software engineering).
As verbs the difference between measure and metric is that measure is to ascertain the quantity of a unit of material via calculated comparison with respect to a standard while metric is {{context|transitive|aerospace, systems engineering|lang=en}} to measure or analyse statistical data concerning the quality or effectiveness of a process.
As a adjective metric is of or relating to the metric system of measurement.