† metrizev.1
Obsolete. rare.
transitive. To put into metre.
ΘΚΠ
society > leisure > the arts > literature > poetry > versification > metre > put into metre [verb (transitive)]
metre1447
metrificate?a1475
measurec1475
metrifyc1487
metrize1572
cadence1748
ringle-jingle1913
1572 J. Bossewell Wks. Armorie 12 b The whiche verses I haue thus metrized in Englishe.
This entry has been updated (OED Third Edition, December 2001; most recently modified version published online June 2021).
metrizev.2
/ˈmɛtrʌɪz/, U.S. /ˈmɛtraɪz/ Mathematics.
transitive. To assign a metric to a metrizable topological space. Cf. metric n.1 3.
ΚΠ
1933 Ann. Math. 34 100 Let Pk* be the space of representative k-sets of S1. We metrize it as follows: [etc.].
1960 Trans. Amer. Math. Soc. 97 96 The middle space M will be understood to be metrized by the metric d(a, b) defined as follows: [etc.].
1971 Trans. Amer. Math. Soc. 161 149 B(k) can be completely metrised by the metric ρ for which ρ(s, t) = 1/n.
1993 Proc. Amer. Math. Soc. 117 1100 Z is a Polish space if and only if it is separable and it can be metrized by means of a complete metric.
Derivatives
ˈmetrized adj.
ΚΠ
1934 Ann. Math. 35 875 We shall deal exclusively with..metrized, topologically complete vector spaces in which distance is invariant under simple translations.
1990 Jrnl. Amer. Math. Soc. 3 723 The condition for the metric to be harmonic is GK = 0. If this condition holds..we get a metrized Higgs bundle.
This is a new entry (OED Third Edition, December 2001; most recently modified version published online March 2022).
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