多项式

The SEIDEL coefficients solved by wavefront fitting with Zernike annular polynomial and Zernike circular polynomial were compared.

比较对于不同遮拦比的环孔径波面采用Zernike环多项式拟合与采用Zernike圆多项式拟合求取SEIDEL系数的差别。

When the ratio of central obscuration is small, the circular polynomial with 9 terms could take place of the annular polynomial to solve the SEIDEL coefficients in some special situations.

在某些特殊情况下，对于中心遮拦很小的环孔径波面，可以采用9项Zernike圆多项式来代替环多项式进行拟合求取SEIDEL系数。

Because the free form surface expressed by discret points has difficulties in aberration correction, manufacture and test, the Zernike polynomial was adopted to express the free form surface. The performance of this system was optimized on the basis of the relationship between Zernike polynomial and Seidel aberration.

由于离散点表述的自由曲面在像差校正、加工及检测等方面存在困难，提出了采用Zernike多项式表征自由曲面的面形，并利用Zernike多项式与Seidel像差之间的关系，优化自由曲面成像系统性能。

Zernike polynomials are used as interface for opto-mechanical analysis because the items of Zernike polynomials have corresponding meanings to Seidel aberrations, because the result of finite element analysis can not be directly used by optical software.

由于光学软件不能直接利用有限元分析的结果，而Zernike多项式的各项与光学像差有对应关系，因此常用Zernike多项式作为光机接口。

The necessarity and sufficiency condition of weakly sequential semicontinuity for variational integrals are obtained in the setting of Orlicz-Sobolev space, which generalizes the corresponding results for variational problems with polynomial growth.

研究了非多项式增长的变分泛函，利用Orlicz空间理论，得到了其在Orlicz-Sobolev空间中弱序列下半连续的充要条件，推广了关于多项式增长的变分泛函的相应结论。

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

Second, some mutual relations for two kinds of powers sum polynomial s are been established.

首先 ，给出这类多项式的定义和基本性质；其次，建立两类幂和多项式的相互关系；最后，介绍上述结果在求解自然数幂和公式方面的应用。

Taylor formula for the basic idea is to use polynomials to approximate a known function, and the coefficients of the polynomial by the given function to determine the derivative , and this approach gives an effective estimate.

泰勒公式的基本思想是用多项式来逼近一个已知函数，而这个多项式的系数由给定函数的各阶导数确定，并对这种逼近给出有效地估计。

This paper presents a new class of piecewise trigonometric polynomial curves and a weighted trigonometric polynomial curve which has simple structure and can be used to design curves.

提出了一类新的分段三角多项式曲线，给出了加权三角多项式曲线，表示式结构简单，能用于曲线设计。

For equidistant knots, the trigonometric polynomial curves of first and second degrees are C^1 continuous, and those of third degree are C^3 continuous.

对于等距节点，一次和二次三角多项式曲线是C^1连续的，三次三角多项式曲线是C^3连续的。

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。