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单词 monodromic
释义

monodromicadj.

Brit. /ˌmɒnə(ʊ)ˈdrɒmɪk/, U.S. /ˌmɑnəˈdrɑmɪk/
Origin: A borrowing from French, combined with an English element. Etymons: French monodrome , -ic suffix.
Etymology: < French monodrome monodrome adj. + -ic suffix. Compare polydromic adj.
Mathematics.
Relating to or exhibiting monodromy (monodromy n. 1). Also (of a function): having a single value for each value of the variable.
ΚΠ
1882 Mind 7 112 All we know is that our Space does not differ perceptibly from Euclid's ideal Space, i.e., from a flat, homogeneous, monodromic, continuous manifold of three dimensions.
1893 A. R. Forsyth Theory Functions Complex Variable i. 15 If a function has only one value for each given value of the variable..the function is called uniform. [Note] Also monodromic or monotropic.
1933 Trans. Amer. Math. Soc. 35 437 Choosing any one of the three branches, ψn(z) is single-valued and analytic in |z| < 1, by the monodromic theorem.
1963 Trans. Amer. Math. Soc. 107 487 The Xf can be initially so chosen that the constant monodromic matrix J will have the Jordan canonical form.
1994 Forum Mathematicum 6 154 More generally, monodromic differential equations should allow for coefficients holomorphic in C*.

Compounds

monodromic group n. now rare = monodromy group n. at monodromy n. Compounds.
ΚΠ
1886 Amer. Jrnl. Math. 8 268 The resulting group of 60 substitutions could easily be identified with the monodromic group of the modular equation of Abel and Hermite for the division of the elliptic functions by 5.
1930 Ann. Math. 31 457 Using work of Birkhoff and of his own on the monodromic group problem of Riemann, Garnier considered first the case of a simple closed polygon.
This entry has been updated (OED Third Edition, December 2002; most recently modified version published online March 2022).
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adj.1882
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