查询词典 algebraic cone

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。

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

Let H. f and g be real polynomials in x, y of degree n+1, at most n and at most n respectively,△ be a set of h such that the real algebraic curve H =h has a compact component δ, and ω=gdx-fdy be a polynomial 1-form.

设H是n+1次实多项式，f，g为至多n次的实多项式，记△为使实代数曲线H=h有一个紧分支δ的所有h之值的集合，ω=gdx-fdy为多项式1-形式。

An implicit Curve reconstruction method is proposed which represents the curve with all algebraic tensor-product B-spline,and minimizes the tension ofthe B-spline and the approximate geometric distance between the curve and the point set.

提出一种以代数张量积样条曲线作为几何表示形式，基于近似几何误差和薄板能量极小化的隐式重构模型。

The cubic algebraic curves (the Bezier curve and B style curve, etc belong to the parameter curve) is apter to realize the curve transition and fitting to dispersed data than the cubic parametric curves.

比如参数曲面与平面的交线就是一条平面代数曲线；平面参数曲线的等距曲线也是一条代数曲线。

For a general parametric curve/surface, we usually cannot compute its exact implicit form. Even though its exact implicit form can be computed, the curve/surface implicitization involves relatively complicated computation and the degree is higher. Moreover, it may have unexpected components and self-intersections. All these unsatisfied properties limit the applications of the exact implicitization. So finding curve/surface approximate implicitization has become a practical problem. In this paper, we present an algorithm to solve the approximate implicitization of a given parametric curve by using a quadratic algebraic spline curve.

由于精确隐式化过程不一定可以实现，即使可以实现隐式曲线曲面的阶数高计算复杂，并且具有不希望的自交点和奇异分支，从而限制了隐式化的运用，所以寻求参数曲线曲面的近似隐式化问题成为很实际又重要的问题，提出利用二次代数样条曲线来实现一般平面参数曲线近似隐式化的一种算法。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

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