uniformizev.
/ˈjuːnɪfɔːmʌɪz/ 1. transitive. To make uniform; to reduce to a uniform system. rare.
ΘΚΠ
the world > relative properties > relationship > uniformity > bring or reduce to uniformity [verb (transitive)]
dismark1632
homogeneate1652
uniformc1681
monotonize1803
uniformalize1805
equalize1822
uniformize1866
homogenize1886
sausage1922
1866 [see uniformized adj. at Derivatives].
1889 Nature Oct. 563 The formation of..an International Commission to fix units and uniformize methods.
2. Mathematics. To transform (an equation or expression) so that each variable is expressed as a single-valued function of a new parameter; to parameterize.
ΘΚΠ
the world > relative properties > number > arithmetic or algebraic operations > transformation > transform [verb (transitive)] > parameterize
uniformize1899
parameterize1935
1899 Philos. Trans. (Royal Soc.) A. 192 1 The only automorphic functions known hitherto which have been applied to uniformise forms whose genus is greater than unity, are [etc.].
1940 E. T. Bell Devel. Math. xxi. 474 The circle x2 + y2 = 1 is uniformized by x = sin t, y = cos t.
1972 M. Kline Math. Thought xxxix. 938 The parametric equations (11) or (12) are said to uniformize the algebraic equation (10).
Derivatives
ˈuniformized adj.
ΘΚΠ
the world > relative properties > relationship > uniformity > [adjective] > making or made uniform
macadamized1827
uniformized1866
uniformizing1899
homogenizing1913
homogenized1935
1866 G. Stephens Old-Northern Runic Monuments I. i. p. xiii To translate the oldest runic inscriptions..into a modern uniformized ‘Icelandic’.
ˈuniformizing n. and adj.
ΘΚΠ
the world > relative properties > relationship > uniformity > [adjective] > making or made uniform
macadamized1827
uniformized1866
uniformizing1899
homogenizing1913
homogenized1935
the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions > of a parameter > in terms of a parameter
uniformizing1899
parameterized1928
1899 Philos. Trans. (Royal Soc.) A. 192 2 The analytical connexion between the uniformising variable t and the variables u, z, of the algebraic form.
1933 E. Sapir in Encycl. Social Sci. IX. 160/2 Language acts as a socializing and uniformizing force.
1954 W. V. D. Hodge & D. 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.
ˌuniformiˈzation n.
ΘΚΠ
the world > relative properties > relationship > uniformity > [noun] > making uniform
levellinga1641
uniforming1700
uniformalization1805
uniformation1895
uniformization1899
homogenization1908
the world > relative properties > number > algebra > [noun] > expression > parameter > paramaterization
uniformization1899
parameterization1928
1899 Philos. Trans. (Royal Soc.) A. 192 1 Comparatively little of the published work on automorphic functions..has been written in connexion with the uniformisation of algebraic forms.
1972 M. 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.].
This entry has not yet been fully updated (first published 1924; most recently modified version published online September 2018).
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