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The computation on a sort of integrals of the product of spherical harmonics and trigonometric functions

采用二阶边界扰动原理,求取了用球谐函数表示的平衡装置静电场电势分布,从而推导出静电场干扰力矩公式。

In this paper, a sort of recursive formulas of spherical harmonics integrals, which often appear in the gravitational gradient harmonic analysis, are deduced according to the recursive formulas between every other order of spherical harmonics and the trigonometric functions'properties. And the calculated formulas on the recursive initialization also are brought forward.

本文根据球谐函数的跨次递推公式和三角函数的性质,详细推导了在重力梯度调和分析中出现的一类球楷函数积分的跨次递推公式和递推初始值的计算公式。

In this work, the ferromagnetic resonance line width of a ferrite with two kinds of cations randomly distributed on a sublattice is calculated by taking into account the spatial fluctuation of both the spins and the exchange integrals.

本文同时考虑自旋矩和交换积分的室间涨落,计算了在一个次点阵上有二类阳离子无规分布的铁氧体的铁磁共振线宽。

Sell,we discuss theproblems of topological dynamics system of the equation form as x'=g+hby using Kurzweil-Henstock integrals.

借助于G.R.Sell定义的局部动力系统理论,利用Kurzweil-Henstock积分,讨论了形如〓型方程的拓扑动力系统问题。

An algebraic method is derived for calculating the number of zeros of Abelian integrals in this paper.

而文献[66]得到的结果是其上界为4,因此本文改进了已有的结论。

Especially for the problem of thin body, duple regularization of both the nearly singular integrals and ill-posed inverse problems is also successful in the two-dimensional boundary element method.

特 别对二维薄体位势边界元法,成功实现了几乎奇异积分和不适定反问题的双重正则化。

The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest .

书提出范曼积分在冲力和群众,和他们应用在物质兴趣的问题的各种各样限制内的渐近扩大。

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.

几何和量子场论课程是用泛函积分的语言对微扰量子场论的严谨的介绍,主要针对数学家设计。

To find the prefactor, evaluate the infinite product of gaussian integrals using the formula

为了找出前因子,用公式估算高斯积分的无限连乘

Articles could no longer be understood with one quick read-through; derivatives and integrals could not be simply memorized and recited; and skimping on homework meant sacrificing the learning of crucial skills as well as points on exams.

迅速浏览不能够懂得文章,微分和积分不是考记忆就可以重复使用的,在家庭作业上的缺斤少两直接导致了我没能掌握到关键的知识,也没能在考试中取得好成绩。

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第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

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这样的小惊喜,使中国顾客比任何国家的人消费得更多。

A heavy dark cloud presaging rain or a storm .

预兆雨或暴风雨的沉重的黑云。