单词 | monogeneity |
释义 | monogeneityn. 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 = −(vxx − vyy), 2vxy = uxx − uyy. 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). < n.1906 |
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