多项式

This trigonometric polynomial can be used to construct open and closed curves. Moreover, the class of piecewise trigonometric polynomial curves can be accurate and flexible to express ellipse.

利用该类分段三角多项式，给出了开曲线和闭曲线的构造方法，并提出了分段三角多项式可精确、灵活地表示椭圆。

The trigonometric polynomial curves retain the main superiority of the quadratic Bézier curves.

给出了二次三角多项式形式的Bézier曲线，基函数由一组带形状参数的二次三角多项式组成。

Cubic non-uniform trigonometric polynomial curves with multiple shape parameters are presented in this paper. They are C^2-continuous for a non-multiple knot vector and C^3-continuous for a uniform knot vector respectively. The ellipses can also be represented by them.

对于非均匀节点向量给出了一类带多个形状参数的三次三角多项式曲线，这类曲线具有三次多项式B样条的许多重要性质：对非重节点为C^2-连续，对均匀节点则为C^3-连续，能直接表示椭圆。

The trigonometric polynomial curves retain the main superiority of cubic Bézier curves.

给出了二次三角多项式B zier曲线，基函数由一组带形状参数的二次三角多项式组成。

Experiments show that C-B spline curve, uniform B-spline with shape parameter, hyperbolic polynomial uniform B-spline with shape parameter and trigonometric polynomial uniform B-spline with shape parameter can be used to produce some frequently used free form curves in the industrial field when the shape parameter is assigned with some specific values. This process is simpler than producing these free form curves by using controlling vertex.

实验证明，C-B样条曲线、带形状参数的均匀B样条曲线、带形状参数双曲多项式的均匀B样条曲线、带形状参数三角多项式的均匀B样条曲线都可利用形状参数的特定取值表示一些工业领域常用的自由曲线，这比起用控制顶点表示同样的自由曲线更为简单。

The study on the algebraic interpolation and the trigonometric interpolation is rapidly developed in view of both theoretical reasons and applications.

由于理论和实践的需要，代数多项式插值和三角多项式插值的研究在近几十年来发展很快。

Most of previous segmentation approachs make use of the surface curvatures or the approximative polynomial coefficients which are very sensitive to noise, but the mathematical morphological operations are robust, so another main advantage of our scheme is its good noise immunity.

以前的大多数分割方法都使用表面的曲率或近似多项式的系数，表面的曲率或近似多项式的系数的计算对噪声很敏感，而数学形态学运算具有较好的抗噪声性，因此我们的方法的另外一个优点是它具有良好的抗噪声性能。

Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced.

多元超几何函数，多元Jacobi多项式和h与根系考克斯特集团有关的调和多项式介绍。

The problems of robust stability and robust stabilization for interval systems were discussed. A necessary and sufficient condition for the robust stability of a line segment polynomial was proposed. The tested results of robust stability of a polynomial polytope and robust stabilization of an interval system were obtained in terms of the condition.

讨论了区间系统的鲁棒稳定性和鲁棒镇定性的有限检验问题，给出了线段多项式鲁棒稳定性的充分必要条件，利用该条件对多项式多面体鲁棒稳定性和区间系统鲁棒镇定性进行了有限检验，并给出了相应的检验结果。

We get a class of refinable distributions which have localpolynomial property and are globally linear independent but are locally lineardependent,So that when M＞N,the Daubechies type scaling functions〓have localpolynomial properties and are globally linear independent but locally lineardependent.

给出了一类细分方程，它们的解具有局部多项式性质并且它们是整体线性无关的但是它们是局部线性相关的。从而得到了当〓时，Daubechies型尺度函数〓具有局部多项式性质并且它们是整体线性无关的但是它们是局部线性相关的。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。