non-orientableadj.

Brit.

/ˌnɒnɔːrɪˈɛntəbl/,

/ˌnɒnɒrɪˈɛntəbl/, U.S.

/ˈˌnɑnɔriˈɛn(t)əb(ə)l/

Origin: Formed within English, by derivation. Etymons: non- prefix, orientable adj.

Etymology: < non- prefix + orientable adj.

Mathematics.

Of a manifold (manifold n.¹ 5): not having a well-defined global coordinate system; not orientable; spec. (of a surface) such that a figure in the surface can be continuously transformed into its mirror image by taking it round a closed path in the surface.

ΘΚΠ

the world > relative properties > number > geometry > surface > [adjective]

monoid1863

anallagmatic1869

scrolar1869

torsal1869

closed1882

vicinal1895

orientable1920

non-orientable1925

1925 Trans. Amer. Math. Soc. 27 335 If the generating circle returns with sense preserved the surface is orientable; if with sense reversed it is non-orientable.

1949 S. Lefschetz Introd. Topol. ii. 76 The combination of the first type is called nonorientable.

1952 P. Nemenyi tr. D. Hilbert & S. Cohn-Vossen Geom. & Imagination vi. 306 The classification of surfaces into two-sided and one-sided surfaces is identical with the classification into orientable and non-orientable.

1984 R. M. Wald Gen. Relativity App. B. 430 On the other hand, the Möbius strip..provides a simple example of a nonorientable manifold.

1997 Proc. Royal Soc. A. 453 1779 The phase is of a different kind: global, and associated with non-contractible circuits in the doubly connected (and non-orientable) configuration space.

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

单词	non-orientable
释义	non-orientableadj. Brit. /ˌnɒnɔːrɪˈɛntəbl/, /ˌnɒnɒrɪˈɛntəbl/, U.S. /ˈˌnɑnɔriˈɛn(t)əb(ə)l/ Origin: Formed within English, by derivation. Etymons: non- prefix, orientable adj. Etymology: < non- prefix + orientable adj. Mathematics. Of a manifold (manifold n.¹ 5): not having a well-defined global coordinate system; not orientable; spec. (of a surface) such that a figure in the surface can be continuously transformed into its mirror image by taking it round a closed path in the surface. ΘΚΠ the world > relative properties > number > geometry > surface > [adjective] monoid1863 anallagmatic1869 scrolar1869 torsal1869 closed1882 vicinal1895 orientable1920 non-orientable1925 1925 Trans. Amer. Math. Soc. 27 335 If the generating circle returns with sense preserved the surface is orientable; if with sense reversed it is non-orientable. 1949 S. Lefschetz Introd. Topol. ii. 76 The combination of the first type is called nonorientable. 1952 P. Nemenyi tr. D. Hilbert & S. Cohn-Vossen Geom. & Imagination vi. 306 The classification of surfaces into two-sided and one-sided surfaces is identical with the classification into orientable and non-orientable. 1984 R. M. Wald Gen. Relativity App. B. 430 On the other hand, the Möbius strip..provides a simple example of a nonorientable manifold. 1997 Proc. Royal Soc. A. 453 1779 The phase is of a different kind: global, and associated with non-contractible circuits in the doubly connected (and non-orientable) configuration space. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < adj.1925
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