“birational”的英文意思_释义_用法

单词

birational

释义

birational, a. Math.|baɪˈræʃənəl|
[f. bi-² + rational a.]
Applied to a transformation in which each of two sets of variables is expressed rationally in terms of the other, or to a correspondence between two sets of variables that can be so related. Hence biˈrationally adv.
1894C. A. Scott Introd. Plane Analyt. Geom. xi. 240 The transformations hitherto considered are birational transformations of the whole plane.1915R. A. P. Rogers Salmon's Analyt. Geom. (ed. 5) II. 268 Such a correspondence is called birational.Ibid., Any surface which can be birationally transformed into a unicursal surface is itself unicursal.1954Hodge & Pedoe Methods Algebraic Geom. III. xviii. 224 An irreducible correspondence between two varieties U and U′ in which to a generic point of each there corresponds a unique point of the other is called a birational correspondence.

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