查询词典 algebraic algebra

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。

This reduces the problem to the solution of an algebraic equation.

这减少了问题的解决，一个代数方程。

This is an algebraic equation , deduced from experimental results.

这是一种由实验结果归纳出来的代数方程。

All love is mathematically just, as much as two sides of an algebraic equation.

"爱你应爱。所有的爱都是数学公正，多达2代数方程的一个方面。"

New method based on genetic algorithm for resolving algebraic equation groups.

一种基于遗传算法求代数方程组数值解的新方法。

The differential equation and algebraic equation are calculated separately so as to use proper methods based their own characteristics.

将微分方程与代数方程的解算问题分离，根据各自的特点选用适当的方法求解。

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