one–oneadj.²

Brit.

/ˌwʌnˈwʌn/, U.S.

/ˈwənˈwən/

Forms: 1900s– one–one, 1900s– 1–1.

Origin: Formed within English, by clipping or shortening. Etymon: one-to-one adj.

Etymology: Shortened < one-to-one adj.

Mathematics and Logic.

= one-to-one adj. 1.

ΚΠ

1900 Ann. Math. 2 48 Two abstract groups G, H which are 1–1 isomorphic are evidently, as far as structure goes, not distinct.

1903 B. Russell Princ. Math. xi. 113 This requires that there should be some one–one relation whose domain is the one class and whose converse domain is the other class.

1931 Proc. National Acad. Sci. U.S.A. 17 127 A topological graph is called planar if it can be mapped in a 1–1 continuous manner on a plane (or sphere).

1965 S. Lipschutz Outl. Theory & Probl. Gen. Topol. ii. 18 A function f : A → B is said to be one-to-one (or one–one, or 1–1) if distinct elements in A have distinct images, i.e. if f(a) = f(a') ⇒ a = a'.

1991 Mind 101 152 Examples of equivalence relations which are not one–one relations are..only too easy to come by.

This entry has been updated (OED Third Edition, June 2004; most recently modified version published online March 2022).

单词	one–one
释义	one–oneadj.² Brit. /ˌwʌnˈwʌn/, U.S. /ˈwənˈwən/ Forms: 1900s– one–one, 1900s– 1–1. Origin: Formed within English, by clipping or shortening. Etymon: one-to-one adj. Etymology: Shortened < one-to-one adj. Mathematics and Logic. = one-to-one adj. 1. ΚΠ 1900 Ann. Math. 2 48 Two abstract groups G, H which are 1–1 isomorphic are evidently, as far as structure goes, not distinct. 1903 B. Russell Princ. Math. xi. 113 This requires that there should be some one–one relation whose domain is the one class and whose converse domain is the other class. 1931 Proc. National Acad. Sci. U.S.A. 17 127 A topological graph is called planar if it can be mapped in a 1–1 continuous manner on a plane (or sphere). 1965 S. Lipschutz Outl. Theory & Probl. Gen. Topol. ii. 18 A function f : A → B is said to be one-to-one (or one–one, or 1–1) if distinct elements in A have distinct images, i.e. if f(a) = f(a') ⇒ a = a'. 1991 Mind 101 152 Examples of equivalence relations which are not one–one relations are..only too easy to come by. This entry has been updated (OED Third Edition, June 2004; most recently modified version published online March 2022). < adj.²1900
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one–oneadj.2

one–oneadj.²