normalizern.

Brit.

/ˈnɔːməlʌɪzə/, U.S.

/ˈnɔrməˌlaɪzər/

Forms: see normalize v. and -er suffix¹.

Origin: Formed within English, by derivation. Etymons: normalize v., -er suffix¹.

Etymology: < normalize v. + -er suffix¹.

1. Mathematics. The subgroup of a group G consisting of those elements g of G such that, for a given subgroup H of G, the product ghg⁻¹ lies in H for every element h of H; the subgroup of a group G for which a given subgroup H of G is a normal subgroup.

ΚΠ

1912 Amer. Jrnl. Math. 34 364 5 · 27 is not a divisor of the order 5³4 · 3! of the normaliser of H₅ in the symmetric G¹⁵.

1937 R. D. Carmichael Introd. Theory Groups Finite Order ii. 49 The number of elements conjugate to S in G is equal to the index of H in G. This group H is called the normalizer of S in G.

1956 Canad. Jrnl. Math. 8 29 (heading) The normalizer of certain modular subgroups.

1990 Proc. London Math. Soc. 61 500 Given (f.g.) a subgroup h of G, find (f.g.) the centraliser and the normaliser of H in G.

2. gen. A person who or thing which normalizes something.

ΘΚΠ

the world > relative properties > order > agreement, harmony, or congruity > adaptation or adjustment > [noun] > in order to conform > regularizing, standardizing, or normalizing > one who or that which

normalizer1926

1926 Heating & Ventilating Mag. Oct. 110/1 (caption) The Sjostrom atmospheric normalizer.

1946 House Beautiful Nov. 290/2 If you live in a hard-water area, it helps to use a good water normalizer..in the water.

1960 P. Dorf tr. M. M. Guxman in J. A. Fishman Readings Sociol. of Lang. (1968) 773 The puristic strivings of the German normalizers of the 17th and 18th centuries were ridiculed, the striving of many normalizers..to counteract the appearance of the new vital tendencies of the colloquial variety of the language was underscored.

1963 Brit. Jrnl. Psychiatry 109 808/2 Lithium and the imipramine drugs can be grouped together under the name normothymics, ‘mood normalizers’.

1991 World Politics 44 54 The conflict may endure unresolved for a long time, but regime bureaucrats and normalizers should eventually prevail.

This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022).

单词	normalizer
释义	normalizern. Brit. /ˈnɔːməlʌɪzə/, U.S. /ˈnɔrməˌlaɪzər/ Forms: see normalize v. and -er suffix¹. Origin: Formed within English, by derivation. Etymons: normalize v., -er suffix¹. Etymology: < normalize v. + -er suffix¹. 1. Mathematics. The subgroup of a group G consisting of those elements g of G such that, for a given subgroup H of G, the product ghg⁻¹ lies in H for every element h of H; the subgroup of a group G for which a given subgroup H of G is a normal subgroup. ΚΠ 1912 Amer. Jrnl. Math. 34 364 5 · 27 is not a divisor of the order 5³4 · 3! of the normaliser of H₅ in the symmetric G¹⁵. 1937 R. D. Carmichael Introd. Theory Groups Finite Order ii. 49 The number of elements conjugate to S in G is equal to the index of H in G. This group H is called the normalizer of S in G. 1956 Canad. Jrnl. Math. 8 29 (heading) The normalizer of certain modular subgroups. 1990 Proc. London Math. Soc. 61 500 Given (f.g.) a subgroup h of G, find (f.g.) the centraliser and the normaliser of H in G. 2. gen. A person who or thing which normalizes something. ΘΚΠ the world > relative properties > order > agreement, harmony, or congruity > adaptation or adjustment > [noun] > in order to conform > regularizing, standardizing, or normalizing > one who or that which normalizer1926 1926 Heating & Ventilating Mag. Oct. 110/1 (caption) The Sjostrom atmospheric normalizer. 1946 House Beautiful Nov. 290/2 If you live in a hard-water area, it helps to use a good water normalizer..in the water. 1960 P. Dorf tr. M. M. Guxman in J. A. Fishman Readings Sociol. of Lang. (1968) 773 The puristic strivings of the German normalizers of the 17th and 18th centuries were ridiculed, the striving of many normalizers..to counteract the appearance of the new vital tendencies of the colloquial variety of the language was underscored. 1963 Brit. Jrnl. Psychiatry 109 808/2 Lithium and the imipramine drugs can be grouped together under the name normothymics, ‘mood normalizers’. 1991 World Politics 44 54 The conflict may endure unresolved for a long time, but regime bureaucrats and normalizers should eventually prevail. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < n.1912
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