查询词典 polynomials

In order to solve the problem of the clustering of the zeros of permanental polynomials of the fullerenes, a multi-dimensional stable marriage model is proposed, relevant algorithms are given, and the clustering problem is solved.

本文提出了多维稳定婚姻问题的模型，同时相应地给出了算法，并成功地应用于富勒烯积和多项式零点的聚类问题。

The items of Zernike polynomials have corresponding meanings of Seidel aberrations. The method of using Zernike polynomials to fit optical surfaces has been widely used in project, optical design software and interference check.

由于Zernike多项式的各项与光学像差有相应的对应关系，用Zernike多项式对镜面面形数据进行处理的方法已经广泛应用于工程项目、光学系统设计软件和干涉检查等。

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。

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。

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。

According to the air trajectory of every rocket-assisted torpedo part, we establish an equation group of air vertical motion, improve the in-air trajectory model, and simulatively calculate the polynomials of firing distance and flight time,and firing distance and shut down time. Making use of the polynomials, we calculate the cooperative time of formation salvo of torpedoes, and determine command ways for different situations. The result may facilitate the research of operational application of rocket-assisted torpedo.

根据火箭助飞鱼雷空中运动各部分的特点，建立了其空中纵向运动方程组，完善了空中弹道模型，仿真计算了射程-飞行时间和射程-关机时间关系多项式，利用关系式计算了编队齐射火箭助飞鱼雷的协同时间，确定了不同态势下的指挥方式，为深入研究火箭助飞鱼雷编队作战使用问题提供了重要的参考数据和理论依据。

We also can prove that those polynomials with real efficients are GCF of the four general polynomials mentioned above.

同样自然得到以往的结果作为其推论；并且进一步简化了新方法。

In the third chapter,we prove two general symmetric identities involving the generalized degenerate Bernoulli polynomials and sums of generalized falling factorials by applying their generating functions,these results extend some known identities,and give an relationship of the generalized degenerate Bernoulli polynomials.

第三章，利用广义退化的Bernoulli多项式以及广义阶乘求和的生成函数，证明了两个对称恒等式，推广了一些已知的结论，并得到广义退化的Bernoulli多项式的一个闭形式。

In the multivariate case, the components of considered estimators are not just polynomials of the corresponding observed components only, but can be polynomials of all variates.

在数值计算结果中，我们发现在卜瓦松分布和常态分布的例子，分别考虑二阶和三阶多项式估计，都已能得到相当好的近似效果。

Robust stability of uncertain two-dimensional (2-D) polynomial family, including polytopes of 2-D polynomials, interval 2-D polynomial family,diamonds of 2-D polynomial family, depends on that of the edge polynomials of the families.

不确定二维多项式簇，包括多胞形二维多项式簇，区间二维多项式簇，钻石形二维多项式簇，其鲁棒稳定性可由其棱边多项式的稳定性确定。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失