查询词典 expansion in series

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polynomials with the complex argument for the constitutive parameter.

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polyno...

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

This paper makes use synthetically of series expansion and asymptotic expansion of complex argument Fresnel integral and the connections of the two expansions are found and analyzed. The computing of Fresnel integral in whole complex plane is so solved perfectly.

本文综合运用了复宗量菲涅耳积分的小宗量级数展开和大宗量渐近展开，并且找到了大宗量展开与小宗量展开的衔接部，圆满地解决了菲涅耳积分在整个复平面内的计算机计算问题。

It is also the base of structure optimization.According to main object characteristics of structural dynamics design,structuraleigenveetor sensitivity computation is,first,be studied.A Neumann series expansionmethod is proposed in accordance with the modal method and is developed to agreewith the structure with rigid body modes.A rapid Neumann series expansion methodfor eigenvector sensitivity is formed;it may greatly improve the efficiency ofcomputing eigenvector derivation.

本文根据结构动力学设计的主要目标特性，首先进行了结构特征向量灵敏度分析研究：形成了计算特征向量灵敏度的Neumann级数展开法，并将其扩展到适用于具有刚体模态的结构特征向量灵敏度分析；研究出计算特征向量灵敏度的快速Neumann级数展开法，该方法大大提高了特征向量灵敏度分析的效率；建立了无需K-1运算的结构特征向量灵敏度分析的共轭梯度迭代法。

Supposed stochastic variations are perturbed in a small range, we can get a nonlinear equation of these stochastic variations by using a Taylor series or a Neumann series expansion of the system matrix. The application of perturbation techniques translates this nonlinear equation into a pair of constant linear recursive equations. Then we have written a paper "Stochastic Finite Element Method for Interconnect Including Variational Analysis" which has been contributed to 11th Asia and South Pacific Design Automation Conference.

本文所取得的主要成果就是提出了一种新的算法，即用随机有限元来分析变化的互连线，将方程按随机变量泰勒展开或者纽曼展开，从而化无限维为有限维；应用matlab进行了算法仿真，并将结果与传统Monte-Carlo与GETA进行了比较；最后写了一篇文章《Stochastic Finite Element Method for Interconnect Including Variational Analysis》，已投第11届亚洲和南太平洋设计自动化会议。

Individual enterprises, specialize in the production of ring series, iron expansion series.

个体企业，专门生产挡圈系列，铁膨胀系列。

Since its establishment, after years of accumulation and expansion of market, the company produced the "SNOW SHOW " brand of dust coat, jacket, cotton-padded jacket etc series leisure clothing in manchuria, immersion fenhe and urumqi city and three port offices in Moscow, In Russia, Italy, kyrgyzstan, tajikistan, Syria, Ukraine etc, Moscow and Kiev Novosibirsk, leaf card, and constructs the area such as the market bishkek perfect sales network system, the terminal in the local market and a good reputation.

公司成立至今，经过多年的市场积累和拓展，公司生产的"SNOW SHOW"品牌羽绒、棉服、风衣、茄克等系列休闲服饰在满洲里、绥汾河、乌鲁木齐三个口岸城市和莫斯科设有办事处；在俄罗斯、意大利、吉尔吉斯斯坦、塔吉克斯坦、叙利亚、乌克兰等国家；莫斯科、新西伯利亚、叶卡、基辅、比什凯克等地区市场构建了完善的终端销售网络体系，并在当地市场树立了良好的口碑。

The same year with the Institute of Fine Chemicalto develop fine chemical products - o-aminobenzoic acid, and 1.4 million yuan of funds into an annual output of 200 tons built anthranilic acid production line, by the province for the Prohibition of Chemical Weapons Convention to fulfill the work of leadership Office approval in April 2002 with an annual output of 200 tons of the scale of operation, product quality compared with similar products in the domestic leading level, in October 2002 to carry out technical transformation again, the scale of production from 200 tons; years expanded to 500 tons; in size, and product performance, production capacity of plant expansion requirements, in 2003 officially put into operation. The end of 2004 our company moved to Sequoia small city are on the 1st, covering over 20,000 square meters, anthranilic acid after the removal of the production line expanded to 1200 tons; in size, at the same time developed a 2,2 - Dithio Benzophenone acid, benzo-iso thiazoline -3 - one, dichloro-acetonitrile, thiophene tons of ketones, a series of inter-amino benzoic acid, etc. Fine Chemical Products.

同年公司与上海桑迪精细化工研究所合作开发精细化工产品—邻氨基苯甲酸，并投入140万元资金建成了年产200吨邻氨基苯甲酸生产线，经省履行禁止化学武器公约工作领导小组办公室批准于2002年4月以年产200吨的规模投入运行，产品质量与国内同类产品相比处于领先水平，2002年10月公司再次进行技改，把生产规模由原来的200吨；年扩到500吨；年规模，且产品性能、生产装置能力达到扩产的要求，2003年正式投入运行。2004年末我公司搬迁至杉城小均1号，占地2万多平方米，搬迁后邻氨基苯甲酸生产线扩大到1200吨；年规模，同时开发了2，2-二硫代二苯甲酸、苯并异噻唑啉-3-酮、二氯乙腈、噻吨酮、间氨基苯甲酸等一系列化工精细产品。

Yueqing xszsh is the first modern enterprise engaged in producing high doors,flat jambs,window casings and furniture doors etc.in wenzhou.diyuanchun series products are made of superior natural material both in domestic and abroad,come with environment-friendly urea-formaldehyde resin and water repellent compound and are manufactured by advanced ltaly facilities and international advanced technology.lt is one of the most popular wood doors in the market featured in good performance,well sound insulation,natural and simple and are free ofwarp,expansion,cracking and deformation.

乐清市芙蓉徐氏装饰行是温州地区首家生产高档门、门套、窗套、家具门等产品的现代化企业。帝源村系列产品，精选过内外优质先进自然材料，施加绿色环保脲醛树胶、防水剂等。用先进的意大利机械设备和国际先进的工艺技术精心制作而成。是目前市场上最受欢迎的木门产品之一。它具有性能强、不翘曲、不膨胀、不开裂、不变形、隔音效果好、自然、朴实等特点。

There are more than 3000 different kinds of valves available. The products series cover hydraulic turbine input liquid control butterfly valve, soft sealing gate valve, clamp butterfly valve; flange valve, expansion butterfly valve, bi-direction metal seal ing butterfly valve, tri-eccentric metal sealing butterfly valve, eccentric semi - sphere ball valve, eccentric dual -semi - sphere ball valve, and sluice gate, hydraulic slow-closing c heck v alve , v ent valve, adjusting valve, body eccentric valve, dual eccentric butterfly valve, varied eccentric butterfly valve, Check valve with little-resistance, slow-closing, noise-eliminating , butterfly valve with mid temperature and pressure, Other types of check valves and check valve gate 、 expansion joint, and being widely used in petroleum industry, chemistry, food, medicals, light industry, paper, water and electricity, ship and boat, steel and casting, Energy and Environment industry. The main valves are ever used in heat-supplying projects of National council office.

我公司主要产品有双向三偏心金属密封伸缩蝶阀、水轮机进水液控蝶阀、软密封闸阀、三维偏心全金属密封蝶阀、自动补偿双向硬密封蝶阀、耐高温金属密封蝶阀、液控缓闭止回蝶阀、对夹式蝶阀、偏心式蝶阀、伸缩蝶阀、偏心半球阀、偏心球阀、通风阀、调节阀、双偏心蝶阀、无销蝶阀、微阻缓闭消声止回阀、旋启式止回阀、防泥沙型蝶阀、自动补水阀、阀板可移动蝶阀、偏心缓闭止回阀、多功能水力控制阀、闸门、伸缩接头和管道伸缩器等三十大系列3000多个规格，广泛用于电力、石油、化工、食品、医药、轻纺、造纸、供排水、船舶、冶炼、能源、环保等行业的腐蚀性、非腐蚀性气体、液体、半流体及固体粉末容器和管网中。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。