级数

Based on the linear elastic theory, the piezoelectric theory and magnetostrictive theory, using the power series expansion series method, a three-dimensional resolution of the natural frequencies of a simply supported rectangular laminate is investigated.

基于线弹性理论、压电理论和磁致伸缩理论，使用幂级数和傅立叶级数解法，得到了四边可移简支、磁电复合材料层合板的固有频率的三维精确解。

Based on the power series expansion of the general flexible matrix of the sub-system, a general expression of the dynamic stiffness matrix of the reduced model was derived from the exact expression of the reduced model for the direct substitution dynamic condensation methods. The general expression was also expressed as a power series of the unknown eigenvalues. After that, the validity and error of the Guyan condensation method were analyzed.

对于动力缩聚直接代入法，本文从降阶模型的精确表达式出发，利用子系统广义柔度矩阵的幂级数展开式，导出了降阶模型动刚度矩阵的一般表达，并把它表示为未知特征值的幂级数形式，在此基础上对 Guyan缩聚法的适用范围和误差进行了一般分析。

A general ring I is a clean general ring if and only if its power series ring is a clean general ring if and only if its skew power series ring is a clean general ring.

1一般环I是一般clean环当且仅当I的形式幂级数环是一般clean环当且仅当I的斜幂级数环是一般clean环。

So using theory of power series to define and study function is an effective method of deal with question of function.

因此，用幂级数定义和研究函数是处理函数问题的一种有效的手段，并能给问题的解决带来一些方便，但是，幂级数只是函数的一种表示形式，只有与函数的其他表示形式相互协调和补充，才能真正简洁有效地处理函数问题。

Because some years previously in 1886 when occupied with the problem of the quadrature of the circle he had learned of the existence of a number computed to a relative degree of accuracy to be of such magnitude and of so many places, e.g., the 9th power of the 9th power of 9, that, the result having been obtained, 33 closely printed volumes of 1000 pages each of innumerable quires and reams of India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula of every digit of every series containing succinctly the potentiality of being raised to the utmost kinetic elaboration of any power of any of its powers.

351因为几年前在一八八六年，当他埋头于探讨面积等于一个圆的正方形的问题时，他发现了一个数值的存在：倘若精确地计算到某种程度，就能达到比方说九九乘九乘这样庞大的量值和位数。所得数字要用细字密密匝匝地印刷成三十三卷，每卷一千页。为了统统印刷完毕，就需要购入无数刀、无数令印度纸，整数值的位数便是一、十、百、千、万、十万、百万、千万、亿、十亿，一切级数的一切数字作为星云的核心，以简明的形式所包含的累乘的可能性推到了极限地、能动地开展的一切乘方的一切幂级数。

In this paper,fuzzy complex numbers,limits of the sequence of fuzzy complex numbers,the metrical convergence and levelwise convergence,the continuity offuzzy complex functions,the calculus of fuzzy complex functions,theseries whose terms are fuzzy complex numbers,the series whose terms arefuzzy complex functions,the fuzzy complex measure and fuzzy differentialequation are investigated in details.All this may be a foundation forfurther researching fuzzy complex analysis.

本文对模糊复数、模糊复数列的极限、度量收敛与水平收敛、模糊复函数的连续性、模糊复函数的微积分、模糊复数项级数、模糊复函数项级数、模糊复测度及模糊微分方程理论进行了详细的研究，为模糊复分析的进一步研究打下一定基础。

A practicable analytic solusion is obtained for any sector by means of Fourier series with singular items.

从位移场带奇性分离的Fourier级数表达式着手，得到扇形问题可实际操作的解析解，可以证明此级数解法与Wiliams分离变量法等价。

The LP approximation by strong summability of Fourier-Laplace series of a function defined on unit sphere is discussed.

本文讨论了球面函数的Fourier—Laplace级数的强求和在LP尺度下的逼近问题，其结果是球面上强求和的某些已有结果的补充，也可以看成一元或多元Fourier级数相应结果的球面类比。

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。

Different from the SCWO reaction of carboncontaining organics, the reaction order of sulfurous acid was 0.423 and 0.397 respectively. The deviation between calculation and experimental results was within 15%.

与有机物SCWO反应显著不同，亚硫酸反应级数不为1（0.423），氧气反应级数不为0（0.397），动力学计算值和实验值偏差在15%以内。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。