metrizationn.

Brit.

/ˌmɛtrʌɪˈzeɪʃn/, U.S.

/ˌmɛtraɪˈzeɪʃ(ə)n/,

/ˌmɛtrəˈzeɪʃ(ə)n/

Forms: 1900s– metrisation, 1900s– metrization.

Origin: A borrowing from German. Etymon: German Metrisation.

Etymology: < German Metrisation (P. Urysohn 1924, in Math. Ann. 92 275) < Metr- (in Metrik metric n.¹) + -isation -ization suffix.

Mathematics.

The process of assigning a metric to a metrizable topological space; the state of having an assigned metric.

ΘΚΠ

the world > relative properties > number > geometry > geometric space > [noun] > topological > involving metrics

metrization1926

metrizability1927

1926 Amer. Math. Monthly 33 487 The metrization problem and related problems in the theory of abstract sets.

1927 Bull. Amer. Math. Soc. 33 14 The Metrization Problem. The problem is to state in terms of the concepts point, and point of accumulation the conditions that a topological space be metric.

1937 Bull. Amer. Math. Soc. 43 141 This theorem gives conditions for the metrization of neighbourhood spaces and a comparatively simple method of introducing the metric.

1964 W. J. Pervin Found. Gen. Topol. x. 158 The metrization theorem.

1993 Ann. Physics 227 335 With the present metrization many of the dimensions of the ECCM phase space are effectively compactified.

This entry has been updated (OED Third Edition, December 2001; most recently modified version published online March 2022).

单词	metrization
释义	metrizationn. Brit. /ˌmɛtrʌɪˈzeɪʃn/, U.S. /ˌmɛtraɪˈzeɪʃ(ə)n/, /ˌmɛtrəˈzeɪʃ(ə)n/ Forms: 1900s– metrisation, 1900s– metrization. Origin: A borrowing from German. Etymon: German Metrisation. Etymology: < German Metrisation (P. Urysohn 1924, in Math. Ann. 92 275) < Metr- (in Metrik metric n.¹) + -isation -ization suffix. Mathematics. The process of assigning a metric to a metrizable topological space; the state of having an assigned metric. ΘΚΠ the world > relative properties > number > geometry > geometric space > [noun] > topological > involving metrics metrization1926 metrizability1927 1926 Amer. Math. Monthly 33 487 The metrization problem and related problems in the theory of abstract sets. 1927 Bull. Amer. Math. Soc. 33 14 The Metrization Problem. The problem is to state in terms of the concepts point, and point of accumulation the conditions that a topological space be metric. 1937 Bull. Amer. Math. Soc. 43 141 This theorem gives conditions for the metrization of neighbourhood spaces and a comparatively simple method of introducing the metric. 1964 W. J. Pervin Found. Gen. Topol. x. 158 The metrization theorem. 1993 Ann. Physics 227 335 With the present metrization many of the dimensions of the ECCM phase space are effectively compactified. This entry has been updated (OED Third Edition, December 2001; most recently modified version published online March 2022). < n.1926
随便看	atomechanics atomed atomfree atomic atomic absorption atomic absorption coefficient atomic absorption spectrometry autumn-hued autumn-planted autumn-ripening autumn-sown autumn-spring autumn-tinted autumnal autumnal dandelion autumnal equinox autumnal fever autumnal moth autumnal point autumnal rustic autumnal sign autumnal star autumnally autumnbells autumnborn