查询词典 algebraic algebra

As a result,the general methods for constructing the unisolvent set for bivariate Hermite interpolation in R~2 and along a plane algebraic curve are deduced,respectively.

然而，插值多项式的存在唯一性问题是必须首先解决的问题之一·本文中我们将研究一般性的二元Hermite插值问题。

This paper first summarizes recent researches on this topic, and then proposes some methods for curve modeling with cubic algebraic curve based on pure geometric constraints that involve control points, tangent directions and curvatures.

然后提出了一种基于几何约束的三次代数曲线的插值方法，该方法完全通过几何量如控制顶点、切线和曲率来控制三次代数曲线的形状，使得对三次代数曲线的编辑与对三次 B-样条曲线的编辑一样灵活方便。

Algebraic curve is commonly used in CAGD. Traditional curve interpolation is in various forms of spline fuction. Although better result can be obtained by spline curve, the former two of elliptic, hyperbolic and parabolic shapes can not be represented by spline curve. An exploring research in this aspect is made in this thesis.

代数曲线是CAGD中经常用到的曲线，以往的曲线插值基本上是采用样条函数的形式，采用这种形式虽然能够获得很好的效果，但样条函数所能表达的形状都是抛物线型，对椭圆型与双曲线型曲线的表示是无能为力的。

As applications of Riemannian surface and algebraic curve theory in integrable system, Abel-Jacobi coordinates are introduced suitably by the Lax matrix, from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用，利用Lax矩阵合适地引入Abel-Jacobi坐标，使得对应的流拉直。

A complete series of the piecewise algebraic curve consists of all effective ordinary cycles in an equivalence class {A} and all effective singular cycles which are equivalent specifically to cycle A.

分片代数曲线的完全列是由所有属于同一等价类的有效正常循环以及所有与它特等价的有效奇异循环构成。

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 constructed algebraic spline curve not only possesses unwanted components and unexpected singular points but also satisfies C^2 continuity.

该算法得到的通近曲线二次代数样条曲线既不会产生多余的分支和不希望的奇异点，又达到整体C^2连续。

In this paper, multivariate Lagrange interpolation problems are systemically discussed,and through amending Cramer Strange Proposition and proving interpolation theory, the geometry construction of the properly posed sets of nodes along the plane algebraic curve is studied, at the same time, a number of practical constructing methods are given.

本文系统阐述了多元Lagrange插值问题，通过修正Cramer奇论并用插值法加以证明，进一步对沿平面代数曲线插值唯一可解点组的几何结构进行深入的研究，同时得到了一些实用性较强的构造方法。

Asapplications of Riemannian surface and algebraic curve theory in integrablesystem,Abel-Jacobi coordinates are introduced suitably by the Lax matrix,from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用，利用Lax矩阵合适地引入Abel-Jacobi坐标，使得对应的流拉直。

In this paper,some problems on bivariate Hermite interpolation by polynomial are studied.The concepts of strong H-basis and Hermite interpolation along a plane algebraic curve are proposed.

1引言如所知，光滑函数方法被广泛地应用于计算机辅助几何设计，有限元及散乱数据插值与拟合(Scattered data fitting and interpolation)等领域·在应用该方法过程中，有关光滑或Hermite插值格式及其显式表达式问题的研究是至关重要的一个方面。

Listen,point and check your answers.

听，指出并且检查你的答案。

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但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48