级数的和

Based on the research of fuzzy valued functions, the absolute uniform convergence for the series of fuzzy valued functions is discussed, by using concept of the metric and absolute valued of fuzzy numbers.

基于模糊值函数的研究，利用模糊数的度量以及模糊数的绝对值概念，讨论了模糊值函数级数绝对一致收敛性，给出了模糊值函数级数绝对一致收敛性的一个充要条件和几个推论。

Based on the complex potential method about the plane theory of the elasticity of an anisotropic body,stress distributions in the plate with multiple cracks are obtained by using the conformal mapping and the Faber series expansion.

采用各向异性体平面弹性理论中的复势方法，应用保角映射技术和F aber级数展开，导出在任意载荷作用下多裂纹板应力场的级数解，引入当量屈服应力修正裂尖塑性区，并利用Sw ift韧带屈服准则建立含共线分布多裂纹结构的剩余强度分析模型，计算结果与试验结果吻合较好。

Based on the complex potential method about the plane theory of the elasticity of an anisotropic body, stress distributions in the plate with multiple cracks are obtained by using the conformal mapping and the Faber series expansion. The equivalence yield stress considers the effect on plastic zones. The Swift strip yield criteria is used to predict the residual strength of plate containing multiple collinear cracks.

采用各向异性体平面弹性理论中的复势方法，应用保角映射技术和Faber级数展开，导出在任意载荷作用下多裂纹板应力场的级数解，引入当量屈服应力修正裂尖塑性区，并利用Swift韧带屈服准则建立含共线分布多裂纹结构的剩余强度分析模型，计算结果与试验结果吻合较好。

This passeage discusses the sequence of cauchy criterion function limit, the convergence of cauchy criterion, the convergence of the series, the function of cauchy criterion listed uniform convergence of cauchy criterion function series, uniform convergence of cauchy criterion, plane of cauchy criterion, some abnormal integral parameter uniform convergence of cauchy criterion and summarized and proof, and through a lot of sample reflected their status and role.

马上要交论文了，摘要不晓得如何翻译，现在请诸位高人帮助翻译1下，不能在线翻译哦，高悬赏~~~~~~感谢本文主要论述了数列地柯西收敛准则，函数极限存在的柯西准则，级数收敛的柯西准则，函数列一致收敛的柯西准则，函数项级数一致收敛的柯西准则，平面点列的柯西准则，含参量非正常积分一致收敛的柯西准则的应用并进行了总结和证明，并通过大量的例题体现了它们的地位和作用。

The growth and regular growth about proximate order of Dirichlet series with infinite ρ order is studied.

第三章减弱了前人提出的关于解析Dirichlet级数和整Dirichlet级数准确零级的增长性的条件，得到了更好的结果。

Fourier analysis consists of Fourier series which can solve limited one-dimensional space Heat-conduction question and Fourier integral which can solve infinite one-dimensional space Heat-conduction question. This is more systematic compared with the other methods, and embodies corresponding beauty of Mathematics to Physics.

傅里叶分析包括傅里叶级数和傅里叶积分，用傅里叶级数法解决有界细杆的热传导问题，用含参数的傅里叶变换法解决无界细杆的热传导问题，比其它方法更系统，体现出一种数学与物理对应的美感。

By means of traditional criterions of generalized integral's convergence and divergence, this paper, from the analysis of integrated function's nature, discovers a series of new criterions, which are briefer and more suitable: on the aspect of generalized integral for functions of a single variable, through the investigation of integrated function, together with the inner relationship between positive series and generalized integral in infinite interval under the condition of positive function, it gives several criterions of generalized integral's convergence and divergence, which are similar to positive series' criterions of convergence and divergence.

本文从分析被积函数本身所具的性质出发，借助传统的广义积分敛散性判别方法，发现1系列更简捷适用的新判别方法：单变量函数广义积分方面，通过考察被积函数，结合正项级数与正函数情形下无穷区间上广义积分的内在联系，给出了几个与正项级数敛散性判别法相类似的广义积分敛散性判别方法；多变量函数广义积分方面，着重讨论了广义2重积分和广义3重积分，结合被积函数的特点，运用比较判别法和柯西判别法，本文给出了判别广义2重积分收敛的1种新方法。

In order to solve the problem of chart projection transformation among all projections in shiphandling simulator,using the theory of power series spreading out and the method of trigonometric power series calculating back, a direct and reverse solving algorithm models of meridian arc length , and Gauss projection and Mercator projection transforming algorithm are introduced in this paper.

为了解决船舶操纵模拟器中不同投影方式海图的投影变换问题，应用幂级数展开理论和三角级数回求方法，给出了子午线弧长、等量纬度的直接正反解算法模型及高斯投影与墨卡托投影的相互转化算法。这些算法具有非常高的计算精度，避免了迭代运算，在船舶操纵模拟器中得到广泛应

In this paper, inverse scattering series method is based on wave equation and Born series, multiples are predicted and removed by constructing a subseries corresponding to surface-related multiples. This method does not need any subsurface information and is suitable for different kinds of complex structures.

本文研究的逆散射级数法以波动方程和Born级数为基础，构造一个与自由表面多次波相关的子序列来预测并消除多次波，该方法不需要知道地下的速度结构信息，适用于各种复杂的地下情况。

started with the analysis of characteristic parameter of the successive detection logarithmic amplifier,mainly discusses the main factor affecting its transfer characteristic by mathematics reasoning to its transfer function,studies the correlative relations of the single stair′s plus,the series with the dynamic range and the logarithmic precision by matlab and matrixx simulation.so two pieces of conclusion have been reached:one is on condition that the dynamic range is limited,the more the series that is used and the single stair′s plus is less,the higher the logarithmic precision is.the other is that using the double amplifier chain can enhance the logarithm starting point,so its stability is improved.and the conclusion has been applied to the practical circuit′s analysis of the tacan beaconing receiver.

摘 要：从分析连续检波式对数放大器的特性参数入手，对其传输函数进行了数学推导，重点讨论了影响其传输特性的主要因素，通过matlab和matrixx仿真，研究了输入动态范围与级联级数、单级增益和对数精度的相互关系，得出了两点结论：一是在限定动态范围的前提下采用的级数越多其单级增益越小而精度就会越高，二是采用双放大链结构可以提高对数起点，从而提高其稳定性。最后将结论应用于塔康信标接收机实际电路的分析中。关键词：对数放大器；连续检波；塔康信标；对数精度

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。