解析函数

Secondly, by establishing a discrete time Markov model with spatial reuse for a MANET, we analyze the performance of the network under the AODV routing protocol. The average route length and the probability to communicate within a limited hop distance are obtained. Several performance parameters of the route discovery and route maintain process are analytically studied, such as the probability generating function and the expectation of the flooding distabce. the probability that a route is discovered by a query packet with a "hop limit", the probability that a request packet finds a valid route, the average time needed to discover a valid route and the cost to successfully route a data packet to its destination. Furthermore, we present a concrete example based on the transmitter characteristic of directional antennas and obtain the corresponding results.

建立了移动自组网络空间可重用的离散时间马氏链模型，得到了AODV路由协议下网络任意两节点间的平均路由长度、在指定"跳限"要求下通信的概率；对随选型路由协议下路由发现和路由维护过程中若干网络性能参数进行了解析分析，如网络中任意两节点问的泛洪距离的概率母函数及其期望、限定泛洪步数时成功寻路的概率、发现一条有效路由的平均时间、成功路由的代价等；并基于定向天线的发射特征给出了一个具体实例，分析计算了相应的网络性能参数。

Thus the distribution of surface field and near field can be obtained..Numerical results for sphere and prolate spheroid are in excellent agreement with thos...

本文给出的球体及长椭球体的数值计算结果表明，这种方法可获得与本征函数级数解相当吻合的结果，优于OSRC方法的结果，说明这种方法可能成为一种对现有解析或数值方法的有效替代方法。

In the work, employing a function with four undetermined parameters to model the source wavelet, an analytical relation between Q-factor and envelope peak instantaneous frequency is derived from the theory of one-way waves propagating in an anelastic medium; at the same time, a method for extracting instantaneous frequency in wavelet domain is developed for improving the precision and anti-noise performance of IF estimation, and based on these, a method called EPIF in wavelet domain is proposed for estimating Q-factor of VSP data.

本文采用一个具有4个待定参数的函数去逼近震源子波，利用黏弹介质中单程波传播理论推导出了地震子波包络峰值处瞬时频率和品质因子之间的解析关系；同时，为提高瞬时频率的估计精度和抗噪性能，在小波域中发展了一种计算瞬时频率的方法，并在此基础上提出了估算VSP资料Q值的方法，简称小波域包络峰值处瞬时频率法。

With complex analytical analysis for B, the fixed points of B at real axis and C-plane are found. It is proved that zero is the only attract fixed point and the iteration of B on the complex plane is symmetrical. And the domains of the constringency and the divergence of B are given.

通过对B的复解析分析，得出了B在实轴和复平面上不动点的性质与求解方法，证明了0点为唯一的吸引不动点；说明了B在复平面上迭代的对称性，求出了函数迭代在整数点处的敛散区域。

The advantages and limitations of every kind of methods for calculating the failure probability is reviewed. The frist order reliability method, the second order reliability method and many kinds of boundary method have achieved remarkable success and formed nature fields of reliability. However, the precision of these methods decrease as the increase of complexity of problem. The numrical methods are versatile, except numerical intergration is only adaptable to special problems which have small number variables and regular intergral domain. Particularly, the advanced variance reduction techniques own the following character: high precision and a small amount computation. But some questions remain to study in the future because only an initial work about these techniqes is developed.

全面评述了计算失效概率各种方法的优点和局限性，其中经典的解析法包括一次可靠性方法、二次可靠性方法、一阶边界法、Vanmarcke上边界、PENT上边界和Ditlevsen二阶窄边界法，这些方法对于多设计点、变量较多且相关、密度函数不是正态以及极限状态方程较复杂的情况，其计算精度较差；而已有的数值方法却是具有较好的通用性，其中除数值积分法只对变量较少、积分域较规则的特殊问题适用外，各种数值模拟方法均具有较广的适应性，特别是各种改进的方差减小技术，精度高、计算量小，但由于其处在研究的初级阶段，还有许多问题有待于解决。

We break through the restriction of Diophantine condition and obtain results of analytic solutions in the case of unit root α and the case that given functions have a regular singular point.

在本章我们突破了Diophantine条件的限制，在α是单位根的情形以及已知函数有正则奇点的情形，给出了解析解结果。

Combined the expressions with the proposed z-domain model, the timing jitter of CP-PLL output related to different noise sources in the loop are also investigated in z-domain: Residue theorem is adopt to simplify the calculation, and optimize the noise bandwidth in terms of the PSDs of VCO and input reference clock, which is instructive to design the loop parameters.

在此基础上，结合新型z域模型求解了CP-PLL环路中的噪声抖动问题：利用复变函数中的留数定理，解析地给出不同噪声源情况下，PLL的抖动大小，得到了最优噪声带宽，为电路的环路参数设计提供了理论指导。

Thus, any malicious characters will be rejected by the URL resolver before they reach the view itself.

将在URL解析时被拒绝，根本不会传递给视图函数。

The problem has been solved by using self-defining function and comma operation, and operated a software package named OptSoftware. According to OptSoftware, the process of expression-interpretation is discussed. At last, the future of applying is prospected.

通过采用自定义函数法和逗号运算法成功解决了该问题，在VC++6.0下开发了智能优化软件包OptSoftware，结合该软件包对其表达式解析作了详细介绍，并对其前景进行了展望。

Some analytical solutions can be obtained via the methods of separation variables and eigenfunction-vector expansion instead of the traditional semi-inverse solution.

放弃传统的半逆解法，利用变量分离法和辛本征函数向量的展开解法可以获得一些问题的解析解。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失