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1)  algebraic solution curves
代数解曲线
2)  algebraic curve solution
代数曲线解
1.
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.
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Brussela tor方程不存在代数曲线解。
2.
By division theorem of polynomial functions, we prove strictly that the travelling solution equation of Burgers_KdV equation has the algebraic curve solution if and only if parametres satisfy the special relation.
利用整除定理严格论证了在参数满足特殊关系时Burgers_KdV行波解方程才存在代数曲线解,并且仅在此参数关系下方程是Liouville可积的。
3)  Four algebraic curve solution
四次代数曲线解
4)  cubic algebric curve solution
三次代数曲线解
1.
In this paper,nonexistence of limit cycle for the c ubic system in plane with two cubic algebric curve solutions y2=(ax3+bx)2 was proved by qualitative analysis method,however,the singular closed orbit can exist in some cases.
用定性分析的方法,证明了具有两条三次代数曲线解y2=(ax3+bx)2的平面三次系统无极限环,但可以有奇闭轨。
5)  algebraic curves
代数曲线
1.
A method is presented for continuous tracking of algebraic curves, then applied to an example of fractal study.
给出了对代数曲线进行连续跟踪的算法 ,以及将该算法应用于分形研究的一个实
2.
Based on the proper segmentation of algebraic curves,the rational Bézier interpolation on "Seed Points" to algebraic curve segments is given.
基于代数曲线的合理分割,提出了曲线段的"种子点"有理Bézier插值方法。
3.
We survey some recent results on codes from algebraic curves over finite fields.
本文概述了有限域代数曲线上的码的一些最近结果。
6)  algebraic curve
代数曲线
1.
In this paper,the practical problems of {2,4} and {3,6} of algebraic curve interpolation are discussed.
讨论了代数曲线插值中实用的 {2 ,4}问题和 {3 ,6}问题 ,针对构造的多项式方程用计算机绘制了不同情形下的代数曲线图形 ,并对试验结果进行了进一步讨论和分
2.
By using Bezout Theorem in algebraic curves,this paper gives new constructive methods of properly posed set of nodes in bivariate graded interpolation:Line-Superpositon Process and Conic-Superposition Process.
通过使用代数曲线论中的Bezout定理,给出了构造二元分次插值适定结点组的新的构造方法——添加直线法和添加圆锥曲线法,所得结论推广了文献[1](朱平,傅凯新。
3.
This paper gives a simple method which finds tanget lines and asymptores of an algebraic curve.
论述了一种不用极限、导数 ,只用初等数学求代数曲线的切线与渐近线的方法 ,对于一些曲线方程较复杂的情况 ,显得尤其简
补充资料:Hesse曲线(代数曲线的)


Hesse曲线(代数曲线的)
Hessian (algebraic curve)

  11油限曲线(代数曲线的)【H台自11(.妙如允.抖e);recc咖,T~aaa,即r药pa一吸ee二o‘二p.助蓝] n次代数曲线(司罗玩水c~)的He丈祀曲线就是其极二次曲线能分裂为两条直线的点的集合,也是第一极曲线的二重点构成的集合.n次非奇异曲线的He丈七曲线是一条次数为3伪一2)、类为3(n一2)(3n一7)的曲线.设介O是这条n次曲线的齐次坐标方程,关丘=刁:f/刁xi刁、,则它的He丈犯曲线的定义方程为 !不:关:五,} }五:关:五31=0. }人,人2人3}特征不等于3时的三次非奇异曲线的H既七曲线与这条曲线交于9个通常拐点.因O.H改e(l 844)而得名. A .E.H困阳。B撰
  
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