The process of introducing metrics to a process or field.

(nonstandard) plural of metric

plural of metricity

plural of metricization

The condition of being metrical

plural of metric ton

(mathematical analysis) In the space ℝⁿ, the metric d(⃑x,⃑y)=√ where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).

(mathematical analysis) The metric 𝜌(f,g)= sup _(x∈X) where f and g are functions on X.

(mathematical analysis) In the abstract metric space of all compact subsets of ℝⁿ, given a pair of compact sets A and B, the Hausdorff metric is h(A,B)= mbox max𝜌(A,B),𝜌(B,A) where 𝜌(A,B)= sup _(a∈A) inf _(b∈B),d(a,b), where d is the Euclidean metric in ℝⁿ.

(mathematical analysis) a metric d such that for any pair of points x and y, d(x,y)=0 if x=y and d(x,y)=1 if x ne y.