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单词 monogeneity
释义

monogeneityn.

Brit. /ˌmɒnə(ʊ)dʒᵻˈniːɪti/, /ˌmɒnə(ʊ)dʒᵻˈneɪᵻti/, U.S. /ˈˌmɑnədʒəˈniᵻdi/
Origin: A borrowing from Latin, combined with an English element. Etymons: Latin monogeneus , -ity suffix.
Etymology: < scientific Latin monogeneus (see monogeneous adj.) + -ity suffix, after heterogeneity n., homogeneity n.
Mathematics. rare.
The state or property of being monogenic (monogenic adj.1 4). Cf. monogenicity n.
ΘΚΠ
the world > relative properties > number > algebra > [noun] > expression > function > property of
discontinuity1803
functionality1857
self-conjugation1866
covariance1878
symmetry1888
monogeneity1906
recursion1913
recursive definition1935
holomorphy1957
unateness1960
1906 Athenæum 20 Jan. 83/3 The following papers were communicated [on Jan. 11]: ‘On the Monogeneity of an Algebraic Function’, by Dr. H. F. Baker, [etc.].
1950 Proc. Amer. Math. Soc. 1 687 Complex functions possessing this derivative at every point of the domain D have been called ‘areolar monogenic’ in the domain. This type of monogeneity is characterized by the equations 2uxy = −(vxxvyy), 2vxy = uxxuyy.
1992 Moscow Univ. Math. Bull. 47 iv. 21 The monogeneity (analyticity) of the function f(z) in the domain G of the complex plane C, i.e., the existence at every point z of G of the derivative f′(z) with respect to the variable z involves infinite differentiability of f(z) with respect to z.
This entry has been updated (OED Third Edition, December 2002; most recently modified version published online March 2022).
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n.1906
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