代数曲线

设p是次数为m的不可约C~μ分片代数曲线F的亏格。

+ : Let p be the genus of an irreducible C ? piecewise algebraic curve F with degree m.

代数曲线上的Lagrange插值

On Lagrange Interpolation Along an Algebraic Curve

以n次代数曲线为不变集的平面二次系统

Quadratic System in Plane with N degree Algebric Curve as its Invariant Set

圆弧曲线的有理五次Bézier表示及代数曲线胀开采样方法

Rational Pentagonal B é zier Representation of Circular Arcs and Blowup Sampling of Algebraic Curves

Riccati方程的代数曲线解及其单值群

Algebraic Curve Solutions and Single Valued Group of the Riccati Equation

应用代数曲线的偏Zeta函数去构造代数几何码。

The partial Zeta-function of algebraic curves is applied to construct an algebraic !

Riccati方程的二次代数曲线解

Second order algebraic curve solution of Riccati equation

代数曲线上的Hadamard定理

A Hadamard Theorem on Algebraic Curves

实例分析表明，灰色代数曲线模型的拟合精度好于灰色GM模型，用灰色代数曲线模型预测交通量是可行的。

The example shows that grey algebraical curve model has better fitting precision than grey model . It is feasible to use grey algebraical curve model to forecast traffic volume .

探讨沿代数曲线进行二元Lagrange插值时有关插值适定结点组的递归构造理论问题，所得结论推广了这一问题的以往结果。

The problem of bivariate Lagrange interpolation along an algebraic curve is studied deeply and the conclusion in the paper popularizes the main result in reference .

本文研究了三次微分动力系统（E）3具有两条处于一般位置的双曲型代数曲线解时其极限环的存在性。

In this paper we have studied the third order differential dynamic system ( E ) _3 , which has the solution of two hyperbolic algebraic curves in general positions and the existence of their limiting cycle .

本文主要研究代数曲线和曲面的设计与控制问题，具体包括代数曲线不同构造形式的性质分析和应用、代数曲面的构造、分片代数曲面blending问题中的自由参数选取等内容。

The thesis concentrates on algebraic curves and surfaces design and modeling , specifically on the analysis and applications of different forms of algebraic curves and surfaces , and determining free parameters in piecewise algebraic surface blending .

Cayley-Bacharach定理在沿平面代数曲线插值问题中的应用

The application of CAYLEY-BACHARACH theorem to Lagrange interpolation along an algebraic curve

通过对回转抛物面与圆柱面相交的研究，得出交线的水平投影曲线为四次代数曲线Perseus座曲线的结论。

Through studying the intersection of paraboloid of revolution and cylinder , the author concluded that the horizontal projection of the intersecting lines & , is the famous Four-order algebra curve-Perseus curve .

将它们推广到分片代数曲线上也有重要的理论与应用意义。王仁宏等对于分片代数曲线的Bezout定理多了大量的研究工作。

To generate them to piecewise algebraic curves is important for studying the piecewise algebraic curves and the bivariate spline interpolation problems .

应用Riemann面和代数曲线的理论，给出构造Abel-Jacobi坐标和拉直各种流（连续流和离散流）的统一方法。

Using the theory of Riemann surfaces and algebraic curves , a unified way is given to construct the Abel-Jacobi coordinates and to straighten out the various flows , both the continuous and the discrete ones .

依据管克英、雷锦志在IntegrabilityofSecondOrderAutonomousSystem一文中给出的二阶多项式自治系统可积的充要条件，通过复域上二元多项式函数整除定理，判定了Brusselator方程不存在代数曲线解。

By means of the sufficient and necessary condition of the second order polynomial system 's integrability and the division theorem of polynomial functions in two variables in the complex domain , we obtain some criterion for the non_existence of Brusselator equation algebraic curve solution .

其弱形式是：两条交点有限的代数曲线交点上界不超过其次数的乘积，我们将两条代数曲线次数的乘积称为其Bezout数。

Its weak form says that two algebraic curves will have infinitely many intersection points provided that the number of their intersection points more than the product of their degrees .

具有直线解微分系统的代数曲线环

The algebraic curve cycle of a differential system with line solution

应用灰色代数曲线模型分析初始地应力场

Analysis of initial in-situ stress field using grey algebraic curve model

同时，代数曲线在计算机辅助设计中也经常碰到。

Besides , the algebra curve is often met during CAGD .

射影空间中代数曲线与超曲面的一些新的性质

Some new properties of algebraic curves and Hypersurfaces in projective space

提出了基于采样的平面代数曲线样条逼近方法。

Propose the method of approximating planar algebraic curves with splines .

分片代数曲线与分片代数簇的若干研究

Some Researches on Piecewise Algebraic Curves and Piecewise Algebraic Varieties

具有四次代数曲线解的二次系统的拓扑结构

Topology of two systems which has four algebraic curve solution

分片代数曲线的实交点数；

The number of real intersection points of piecewise algebraic curve s ;

文章论述了与给定切线多边形相切的三次代数曲线；

This paper discusses cubic algebraic curves with the given tangent polygon .

平面三次代数曲线射影构成、分类及作图

Projective Construction , Classification and Drawing of Plane Cubic Curves

分片代数曲线交点的结式求法

Resultant Algorithm for the Intersection Points of Piecewise Algebraic Curves

多元样条、分片代数曲线及线性丢番图方程组

Multivariate Splines , Piecewise Algebraic Curves and Linear Diophantine Equations