| 释义 |
uniformize, v.|ˈjuːnɪfɔːmaɪz|
[f. uniform a. + -ize. Cf. F. uniformiser, Pg. -izar, med.L. ūniformisāre.]
1. trans. To make uniform; to reduce to a uniform system. rare.
1866[implied at uniformized below]. 1889Nature Oct. 563 The formation of..an International Commission to fix units and uniformize methods.
2. Math. To transform (an equation or expression) so that each variable is expressed as a single-valued function of a new parameter; to parameterize.
1899Phil. Trans. R. Soc. A. CXCII. 1 The only automorphic functions known hitherto which have been applied to uniformise forms whose genus is greater than unity, are [etc.]. 1940E. T. Bell Devel. Math. xxi. 474 The circle x2 + y2 = 1 is uniformized by x = sin t, y = cos t. 1972M. Kline Math. Thought xxxix. 938 The parametric equations (11) or (12) are said to uniformize the algebraic equation (10).
Hence ˈuniformized ppl. a.; ˈuniformizing vbl. n. and ppl. a.; ˌuniformiˈzation.
1866G. Stephens Runic Mon. I. p. xiii, To translate the oldest runic inscriptions..into a modern uniformized ‘Icelandic’. 1899Phil. Trans. R. Soc. A. CXCII. 1 Comparatively little of the published work on automorphic functions..has been written in connexion with the uniformisation of algebraic forms. Ibid. 2 The analytical connexion between the uniformising variable t and the variables u, z, of the algebraic form. 1933E. Sapir in Encycl. Social Sci. IX. 160/2 Language acts as a socializing and uniformizing force. 1954Hodge & Pedoe Methods Algebraic Geom. III. xvi. 112 A necessary and sufficient condition that P be a simple point of V is that there exist a set of uniformising parameters at P. 1972M. Kline Math. Thought xxxix. 938 Clebsch's results on the uniformization of curves of genus 1 by means of elliptic functions of a parameter made it possible to establish for such curves remarkable properties about points of inflection, [etc.]. |