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Through the operation of formal power series, we set up the expansion of Ar, a popularizing of the common polynomial theorem, where r is a non-zero real number.

通过形式幂级数A的幂运算，建立了Ar的展开式，这里r为非零实数，这是常见的多项式定理的推广。

In order to acquire the accurate signal from the noisy surrounding and get the relevant information about the gasohol from a lot of complex spectrogram which are made up of signals with a series of wavelengths, a compact, energysaving portable near infrared analyzer was designed to determine the content of water and ethanol in gasohol.

为了保证在恶劣环境下提取出高质量的电信号以及从众多波段的电信号组成的光谱图中准确地提取出乙醇汽油的相关信息，确保工作人员能利用仪器方便地确认乙醇汽油中乙醇和水的含量，提出了体积小、功耗低的便携式近红外乙醇汽油分析仪的设计方案。

Based on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method. A combined Gauss main-element elimination method with compress-storage technique is proposed. The relaxation iterative method for solving branch river networks is extended, which can turn the problem of any complex river networks into the problem of a series of single rivers. The coupling of hydraulic model with water quality model is built up. The combined model was applied to a large complicated river networks with numerical hydraulic structure which influenced by strong tide, storm and heave rain. Visualization of computational results is realized by means of MapInfo, which displays the computational results in fast, convenient and accurate way.

水力模型以描述河道洪水波运动的Saint-Venant方程组为基础，用Newton-Raphson方法直接求解按Preissmann加权四点格式进行离散所得的非线性代数方程组，提出了压缩存贮形式的Gauss列主元消去法并对数值解的收敛性进行了讨论；将支流流量的松弛迭代方法从树状河系推广到了环状河网，使任意复杂河网水力计算的问题都可化为一系列的单一河道的水力计算问题；建立了水力模型与水质模型的联接，初步应用于既有洪水、暴雨、强潮等综合影响，又存在多种水工建筑物及水力调度问题的大型复杂河网中的非恒定流水力、水质计算问题；利用MapInfo对计算结果的可视化进行了研究，有利于决策者快速、方便、准确地作出决策。

In this process, a piece of paper is transformed into a bird or other unique shape by a series of geometric folds and creases.

在摺纸时，将纸张按不同的几何形状摺叠起来，就变成了一只鸟或是其他特别的形状。

Striking up a friendship with a pretty young waitress,the cheerily corpulent gourmand begins to design a series of dishesthat will transform her life.

他与年轻的女侍者依簟发展一段友谊，后者婚姻生活出现问题。主厨设计一系列菜肴来改变她的生活。

After the game, in a series of short and soft answers, Wang kept smiling and insisting through an interpreter that he had no idea that he had been five outs from perfection until he finished the inning by giving up a single and getting a double-play grounder, then walking off to a standing ovation.

赛后，在一连串短而温和的回答中，王保持微笑经由翻译坚持他不知道他差五个出局数就完成完全比赛，直到他让队手击出一支一垒安打，一支双杀打，然后退场接受观众的起立鼓掌。

A series of interpenetrating polymer network materials, based on a rosin-based epoxy resin and a turpentine-based polyurethane were prepared from gum rosin and turpentine oil.

以同步法制备不同配比的松香基环氧树脂/松节油基聚氨酯互穿网络体系。

By the algorithm, the surfaces are first divided into a series of mapping areas and synthesis areas using the constraints of the triangles' normal and texture attributes. Then the mapping areas are textured by harmonic mapping from the 2D mapping sample, by a patch-based synthesis method. Finally, the synthesis areas are textured by a triangle-based synthesis method.

首先以三角形法向量、切向矢量与纹理尺度为约束，将三角网格曲面分割为一系列映射区与合成区；然后用基于块的平面纹理合成方法生成大面积样图，用调和映射方法对映射区进行纹理映射；最后采用基于三角块的合成方法生成合成区纹理。

In order to better meet the needs of customers,"Lang fish" to provide a tasty fish-Granville services, it is also a positive response to our request, a series of features dishes such as: yellow stare spicy cucumber, lettuce head, Spicy beef, ham, Feiniu, Flammulina, mushrooms, Rouwan Zi, Shan Yu, Yaohua, meat, yellow throat, the same material, different spices, unique flavor.

为了更好地满足顾客的需要，"打渔郎"在向顾客提供鲜美的通威鱼服务的同时，还积极响应大家的要求，推出一系列特色菜品，如：黄辣丁、黄瓜、莴笋头、辣牛肉、火腿、肥牛、金针菇、香菇、肉丸子、鳝鱼、腰花、肉片、黄喉等，相同的材料，不同的调料，独特的味道。

In one of a series of debt-related suicides, a 34 year-old mother threw herself and her three young children out of a high-rise apartment block to their deaths in July, because of despair about their financial plight.

与信用卡相关的自杀屡屡发生。一位34岁的母亲因财务危机陷入绝望，带着自己和三个年幼的孩子从高高的公寓楼上跳下来，结束了自己和孩子们的生命。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐