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Therefore, the property, of Pascal line is important for both algebraic curve and singularity of spline space The aim of this paper is to find common properties among conic curves which have the same Pascal line and compute the track of Pascal lines.

所以，对于Pascal线性质的讨论，对于代数曲线以及多元样条空间的结构方面的研究也起着重要作用。

The paper applies algebraic geometry, computational geometry, approximation theory to study the following problems: the Nother type theory and the Riemann-Roch type theory of the piecewise algebraic curve; the number of real intersection points of piecewise algebraic curves; the real piecewise algebraic variety and the B-net resultant of polynomials.

本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的Nother型与Riemann-Roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的B-网结式进行研究。

The parameters of codes on the curves over finite fields is always the important problem in algebraic geometry codes.

有限域上代数曲线上的码的参数问题一直是代数几何码研究中的重点问题。

Based on the proper segmentation of algebraic curves,the convex hull of curve segment was given.

基于代数曲线的合理分割，给出了曲线段的三角形凸包的描述。

Furthermore, people found that the relationship between intrinsic properties of planar algebraic curves and the singularity ofbivariate spline spaces is m-ore and more important.

尤其是经过近年来的研究，人们发现多元样条空间的奇异性问题与代数曲线的内在性质有着越来越重要的关系。

In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究，主要获得了以下一些成果：首先，证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基，并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基，是适应工程实践中设计特殊曲线曲面的需要而产生的，类似于多项式空间中的B-spline基与Bézier基，是CAGD中重要的造型工具。

The paper is devoted to the quartic invariant algebraic curves in quadratic system.

本文在给定参数满足一定的条件下，研究了一类二次系统的四次不变代数曲线系统平衡点的稳定性态，并运用Dulac函数法给出了该系统不存在极限环的充分条件，这一研究在同类问题中具有一定的拓展性。

It is written as a book of "impressions" of a journey through the theory of complex algebraic curves.

它被作为对一次旅行的"印象"的书通过复杂的代数学的曲线的理论写。

The results reveal that the double peaks exist in the age-hardening curves of both the unreinforced and the reinforced MB15 allo...

结果表明，MB15及其复合材料的时效硬化曲线上均存在双峰现象；SiCw的加入既提高了MB15的硬度，又加快了其时效速度；混粉方式对晶须分布及SiCw/MB15复合材料的室温力学性能影响很大。

MAIN OUTCOME MEASURES: Proliferation and osteogenic activity of cells were measured by morphology, ultrastructure, and cell proliferation curves, analyzed by calcification nodi Von Kossa staining, and determend by quantitative analysis of contents of cytoplasmic alkaline phosphatase and amendable calcium-cobalt staining.

主要观察指标：通过形态学、超微结构，细胞增殖曲线，钙结节Von kossa法染色以及细胞内碱性磷酸酶定量检测与钙钴法染色确定其增殖与成骨活性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。