normedadj.

Brit.

/nɔːmd/, U.S.

/nɔrmd/

Origin: Formed within English, by derivation. Etymons: norm n.¹, -ed suffix², norm v., -ed suffix¹.

Etymology: In senses 1 and 2 < norm n.¹ + -ed suffix²; in sense 3 probably < norm v. + -ed suffix¹.

1. That has been normalized; (Mathematics) = normal adj. 12 (now rare). Cf. norm v. 1.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [adjective] > multiple > multiplied

multiplied1579

multiplicate1656

weighted averagea1832

normed1906

1906 Science 5 Oct. 421/2 The following papers were read... G. D. Birkoff: ‘On a certain class of sets of normed orthogonal functions.’

1935 Ann. Math. 36 163 Both types of curves exist in the space of the set of normed orthogonal functions, B_i(x).

1964 Economist 30 May 1016/3 A changeover from gross value of output to ‘normed processing cost’ (normativnaya stoimost′ obrabotki).

1991 Internat. Jrnl. Lexicogr. 4 i. 34 A group of alleged synonyms may suggest culturally normed collocations, or cognates.

2. Mathematics. Having a norm (norm n.¹ 3).

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > [adjective] > with respect to size

smallc1400

long1712

numerical1812

fifty1819

normed1935

significant1962

1935 Trans. Amer. Math. Soc. 38 360 We now add the permanent assumption that  is ‘normed’, that is, that there is associated with  a rule assigning to every ξ ∈  a number ‖ξ‖ called the ‘norm’ of ξ, and satisfying [etc.].

1959 L. F. Boron tr. M. A. Naimark (title) Normed rings.

1972 A. G. Howson Handbk. Terms Algebra & Anal. xxii. 111 A space with a norm is known as a normed space; it is..a metric space with metric d(x, y) = ‖x − y‖.

1990 Glasgow Math. Jrnl. 32 377 A symmetric normed algebra of quotients has been introduced and studied..in the setting of ultraprime Banach algebras.

3. Chiefly U.S. Of a test: having performance criteria based on results previously achieved in it by a chosen sample of subjects. Cf. norm v. 3, norm-referenced adj.

ΚΠ

1969 Amer. Econ. Rev. 59 217/2 Student performance was measured by test scores on an independently devised, nationally normed multiple choice examination.

1983 Amer. Jrnl. Sociol. 88 846 Two properly normed tests should have the same standard deviation/grade equivalence relationship.

1997 Cincinnati Enquirer 19 Oct. e4/6 On nationally normed tests, 70 to 80 percent of Reading students score average and above.

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

单词	normed
释义	normedadj. Brit. /nɔːmd/, U.S. /nɔrmd/ Origin: Formed within English, by derivation. Etymons: norm n.¹, -ed suffix², norm v., -ed suffix¹. Etymology: In senses 1 and 2 < norm n.¹ + -ed suffix²; in sense 3 probably < norm v. + -ed suffix¹. 1. That has been normalized; (Mathematics) = normal adj. 12 (now rare). Cf. norm v. 1. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [adjective] > multiple > multiplied multiplied1579 multiplicate1656 weighted averagea1832 normed1906 1906 Science 5 Oct. 421/2 The following papers were read... G. D. Birkoff: ‘On a certain class of sets of normed orthogonal functions.’ 1935 Ann. Math. 36 163 Both types of curves exist in the space of the set of normed orthogonal functions, B_i(x). 1964 Economist 30 May 1016/3 A changeover from gross value of output to ‘normed processing cost’ (normativnaya stoimost′ obrabotki). 1991 Internat. Jrnl. Lexicogr. 4 i. 34 A group of alleged synonyms may suggest culturally normed collocations, or cognates. 2. Mathematics. Having a norm (norm n.¹ 3). ΘΚΠ the world > relative properties > number > mathematical number or quantity > [adjective] > with respect to size smallc1400 long1712 numerical1812 fifty1819 normed1935 significant1962 1935 Trans. Amer. Math. Soc. 38 360 We now add the permanent assumption that  is ‘normed’, that is, that there is associated with  a rule assigning to every ξ ∈  a number ‖ξ‖ called the ‘norm’ of ξ, and satisfying [etc.]. 1959 L. F. Boron tr. M. A. Naimark (title) Normed rings. 1972 A. G. Howson Handbk. Terms Algebra & Anal. xxii. 111 A space with a norm is known as a normed space; it is..a metric space with metric d(x, y) = ‖x − y‖. 1990 Glasgow Math. Jrnl. 32 377 A symmetric normed algebra of quotients has been introduced and studied..in the setting of ultraprime Banach algebras. 3. Chiefly U.S. Of a test: having performance criteria based on results previously achieved in it by a chosen sample of subjects. Cf. norm v. 3, norm-referenced adj. ΚΠ 1969 Amer. Econ. Rev. 59 217/2 Student performance was measured by test scores on an independently devised, nationally normed multiple choice examination. 1983 Amer. Jrnl. Sociol. 88 846 Two properly normed tests should have the same standard deviation/grade equivalence relationship. 1997 Cincinnati Enquirer 19 Oct. e4/6 On nationally normed tests, 70 to 80 percent of Reading students score average and above. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < adj.1906
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