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- The rank 1 torsion-free sheaves on a rational curve with one simple triple point are classified, and the moduli space is discussed. 摘要考虑含有一个简单三重点的有理曲线，对这条曲线上秩为1的无挠层进行分类，同时讨论它的模空间。
- Given a parametric rational curve or surface, the procedure of finding its implicit equation is called implicitization of the rational curve or surface. 给定曲线的参数表示形式，求它们的隐式方程称为曲线的隐式化。
- By using the projective geometry,some schemes for generating rational curves from pencil of lines are investigated in this paper. 采用射影几何学方法，研究从直线束生成有理曲线的技术方案。
- In this paper, a new approach based on perturbation method is proposed for the piecewise polynomial approximation of rational curves and surfaces. 本文利用摄动的思想，以摄动有理曲线（曲面）的系数的无穷模作为优化目标，给出了用多项式曲线（曲面）逼近有理曲线（曲面）的一种新方法。
- However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces. 有理曲线和曲面作为一类重要的逼近函数，在计算机辅助设计与制造中有着广泛的应用。
- But the practical usefulness of implicitization is hampered by the complex representation of the implicit equations of high degree rational curves and surfaces. 这方面的研究已经取得了很大的进展，然而由于高次曲线的隐式表示极其复杂，其实际应用价值受到严峻的挑战。
- The examiners put a premium on rational argument. 评委们对以理服人的论据给以高度评价。
- The falling star described a long curve in the sky. 流星在空中画出了一道长长的弧线。
- Degree reduction of interval rational curves 区间有理曲线的降阶
- The quality or condition of being rational. 合理性合乎理性的性质或状态
- A line segment that joins two points on a curve. 弦将两点用曲线连接起来的曲线段
- No rational person would go to work in his pyjamas. 任何神智正常的人都不会穿着睡衣去上班。
- Do you know who defined man as a rational animal? 你知道是谁将人说成是有理智的动物的?
- His spine developed a slight curve. 他的脊柱有点弯曲。
- The coast sweeps (away) northwards in a wide curve. 海岸呈一大弧形向北伸展。
- We'll have to ration out the water. 我们得将水按定额配给。
- They had to ration petrol during the war. 战时他们不得不限量供给汽油。
- A bend or curve, especially in a shoreline. 弯曲，弓形弯曲或弓形，尤指海岸线
- A wicked curve ball; a wicked imitation. 漂亮的曲球; 惟妙惟肖的模仿
- The Continued Fractions Method on Algebraic Representation of Parametric Rational Curve 参数有理曲线代数表示的连分式方法
