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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。

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上,从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解,并且得到了该代数簇在凸多面体内的极小分解。

This paper proposes an algorithm of division and multi-level clustering with multi-strategy optimization,which bases on study of today's mature algorithms.

本文在研究已有成熟算法的基础上,提出了基于分治多层聚类的话题发现算法,其核心思想是把全部数据分割成具有一定相关性的分组,对各个分组分别进行聚类,得到各个分组内部的话题,然后对所有的微类再进行聚类,得到最终的话题,在聚类的过程中采用多种策略进行优化,以保证聚类的效果。

Now he wanted to bomb bases in Manchuria, a part of China, and use other all-out measures.

现在他给炸弹想要在Manchuria,一个中国的部分内的基础,和使用其它全面的措施。

PubMed abstract: We used event-related functional MRI to investigate the neural bases of two categories of mental processes believed to contribute to performance of an alphabetization working memory task: memory storage and memory manipulation.

PubMed摘要:我们用事件关联的功能性核磁共振成像研究两类被认为有助于按字母顺序的记忆工作的精神的过程:记忆储存和记忆处理。

We investigated alcohol, acid, amine, ester and several kinds of normal metal clusters by using the HF-LCAO-MO method for the lubricate mechanism of different polarity bases, through the frontier orbital energy levels and its composition.

用HF-LCAO-MO方法计算醇、酸、胺、酯4类油性剂和常见金属的原子簇模型,从前线轨道能级、分子轨道组成等方面研究了不同极性基团的润滑机理。

Proteins behave either as acids or bases and are said to be amphoteric.

蛋白质习性又像酸又像碱,因此说它是两性的。

The screening of a wide range of bases, oxidants, and solvents found that the best reaction conditions require Ag salts, benzoquinone, and tert -amyl alcohol, respectively.

放映一系列基地、氧化剂发现和溶剂的最佳反应条件要求盐类银、醌、叔戊醇,分别

I'll spare you the many baseball analogies circling the bases of my mind and just get to it.

我会的许多备件您盘旋棒球类比的基础我的脑海和公正得到它。

The analytical geometry is used to study the formulas of Moire fringes for the measurement of screen line, to analyze the geometric forms and their properties of Moire fringes , and further discusses the bases of theory for the measurement of screen line.

本文用解析几何学方法研究测量网线的莫尔条纹方程,分析莫尔条纹的几何形状与特性,并且进一步讨论网线测量的理论依据,旨在深刻地揭示测量网线的莫尔条纹原理。

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推荐网络例句

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入,与管线26相通,与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。

For he that is now called a prophet, in time past was called a seer.

他们就往天主的人所住的城里去了。