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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。

Results: The left and right ventricular pressure curves of each cardiac cycle from the analogue experiment are much close to the pressure curve in human physiological system.

结果 ：模拟实验得到的左、右心室心动周期压力曲线和正常生理情况下的左、右心室心动周期压力曲线非常接近。

The unit cell parameter of polypropylene crystallized with different method and condition was studied:curves of wide angle X-ray diffraction are determined by stepwise scanning method,X ray multi peaks resolution program and simulation program of unit cell parameter developed by the general inverse matrix method are used as data processing of determined results.

研究了不同方式和条件下形成的等规聚丙烯结晶的晶胞参数，用步进扫描测定试样的宽角X-射线衍射，用广义逆矩阵法编的计算机分峰程序和晶胞参数拟合计算程序对测定结果进行计算和数据处理。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。