| 释义 |
monodromy Math.|məˈnɒdrəmɪ|
[f. as monodromic a. + -y3.]
(See quot. 1909.)
1897B. Russell Essay on Foundations of Geometry i. 24 As regards independence of rotation in rigid bodies (Monodromy). If (n-1) points of a body remain fixed, so that every other point can only describe a certain curve, then that curve is closed. 1903Nature 19 Feb. 382/2 It is pointed out that in the non-Pythagorean geometrics devised by Hilbert, Helmholtz's axiom of monodromy is not verified, inasmuch as it is possible by rotation through four right angles, to bring the points of a line into positions which they do not occupy before the rotation. 1909Cent. Dict. Suppl., Monodromy, (a) the characteristic property that, if the argument returns by any path to its original value, the function also returns to its original value. (b) The property that the curves described by a revolution or rotation through four right angles are closed. 1949G. & R. C. James Math. Dict. 237/1 Monodromy theorem. The theorem states that, if the function f(z) of the complex variable z is analytic at the point z0 and can be continued analytically along every curve issuing from z0 in a finite simply connected domain D, then f(z) is a function-element of an analytic function which is single valued in D; in other words, analytic continuation around any closed curve in D leads to the original function element. |