级数的和

Along with the rapid development of Internet technology and exponential progressional increase of network resource, the tempo of search engine decides the using rate of Internet resource to a large extent, and the problems in existing search engines make the academia ceaselessly do some research in every kind of search theory and technique.

随着互联网的高速发展和网络资源的指数级数增长，搜索引擎的发展水平在一定程度上决定着互联网资源的利用率，但现有搜索引擎存在的问题，促使学术界不断进行各种搜索理论和技术的研究。P2P全文搜索引擎作为一种全新的搜索方式，日益受到学术界的关注，各种改进的搜索算法被相继提出，并应用于实践。

This paper applies Fourier series to detach the fundamental waves phase, adopts the curve fitting to the frequency of the maximum spectrum amplitude, utilizes the sine wave parameters of law to the phase angle of this frequency, calculates δvalue and tanδvalue.

本文以傅立叶级数分离基波相位的方法为依据，通过曲线拟合求频谱幅值最大值处的频率，利用正弦波参数法求该频率处的相位角，从而计算出δ值和tanδ值。

In this dissertation, many works have been done on the basis of the summarization of the merits of all kinds of meshless methods after a large number of relevant references are read and studied. The basic ideas, principles of meshless methods and their development in the recent years are introduced synoptically. Applications of Element-free Galerkin method in elastic foundation plate are studied deeply and some useful conclusions are obtained as follows:(1) Comparisons between numerical solutions and analytical solutions for several different styles of weight functions, including Gaussian weight function, spline weight function and singular weight function etc, are performed. The results show that Gaussian weight function is the best one.(2) Ranges of relevant parameters for Gaussian weight function are given.(3) Influences of nodal distribution schemes and the number of Gaussian integrated dots on computational results are discussed.

在本文中，作者在认真阅读和研究所搜集到的大量参考文献、综合各种无网格法优点的基础上，首先，对无网格法的基本思想、基本原理、发展现状作了概括性的介绍；其次，对无单元Galerkin法在弹性地基板计算中的应用进行了较为深入的探讨：(1)分别对高斯型、样条型、奇异型等不同形式的权函数进行比较分析，数值计算结果与级数解析解的比较表明，高斯型权函数效果较好：(2)对高斯型权函数进行参数研究，得到地基板计算中相关参数的选取范围；(3)对不同节点分布方案和不同高斯积分对计算结果的影响等作了有益的讨论。

A grating function and a groove function are introduced to determine the structure of a concave grating. Basic ideas for the design of a flat-field concave grating with three stigmatic points are proposed. As a proof of the usefulness of these design approaches, image conditions of the grating with three stigmatic points are developed which concise with other published results and they are more general than those obtained from holographic gratings.

采用与分析三维光栅相类似的级数展开法给出了二维集成凹面光栅的球差、彗差的计算方法，计算中用光栅函数和槽面函数来描述具有任意形状和任意变化周期的光栅，提出了一种具有三个无像差点的平面场型凹面光栅的设计方法，利用该方法推导了三点无像差光栅的成像条件，与文献中用其它方法获得的结果相一致，该结果与全息光栅的成像条件相比，更具一般性。

In this paper, interval Taylor series expansion method is proposed to solve interval differential equations and power system time domain simulation under uncertainty based on interval method is presented.

文中采用区间泰勒级数法进行区间微分方程组的求解，提出和实现了计及不确定性的电力系统时域仿真的区间方法。

Eg.5 The physico-chemical investigations, carried out on a series of fragments, collected from the wall paintings of the desert castle at Qusayr Amra in Jordan, allowed a comprehensive characterization of the pictorial technique and of the nature and the degradation degree of the wall paintings.

译：用物理-化学分析法研究一系列的壁画片段（这些壁画片段采自约旦 Qusayr Amra ）可以使我们对这些壁画的绘画技术和自然衰退级数作一个综合、全面的鉴定。

Based on new style equivalent source method of axisymmetrical static field, this paper proposes a new style equivalent source method of axisymmetrical eddy current field , in which the number and positions of all the ES can be determined and the field distribution in all subregions is expressed in series form.

本文把轴对称静态场中的新型等效源法推广到轴对称涡流场中，提出了轴对称涡流场的新型等效源法，该法中等效源的位置和个数可给以确定，由它产生的场分布可用级数表示，克服了以前等效源法中等效源的位置和个数只能凭经验决定的缺点。

In constrast to the traditional infinite-series expression, this result is more exact because of using the finity summation form.

与传统的无穷级数结果相比，本结论是使用有限项和来表示的，因此结论具有更高的精确性。

The effects of the bound,resolution,and other parameters for uniform and nonuniform quantization schemes are discussed.

着重讨论了量化范围、量化级数、均匀和非均匀量化等因素对译码性能的影响，给出了LDPC码BP译码算法的一些实用性的结论。

The experimental results show that the molar ratio of carbon monoxide to carbon dioxide in the reacting mixture is frequently equal to unity hence the reaction scheme may be stoichiometrically represented as follows

实验证明：反应气体中一氧化碳与二氧化碳的摩尔比接近于1；苯氧化生成顺酐的反应是并串联反应，各反应级数均为准一级；并求出了各反应的活化能和指前因子。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。