解析函数

The moment generating function of decision variable and a saddlepoint approximation method are exploited to analyze the BER performance of FD-SS-CLDD, and the theoretical results are evaluated by simulation.

通过利用判决变量的矩生成函数，并采用鞍点近似的分析方法，得到了频域扩频码片级差分检测的误码率性能的解析表达式，同时进行了仿真验证。

Researches have shown that, the maximal zero effort miss which could be corrected is monotone increasing function of structure acceleration, time to go and fuel specific impulse if combustion time is equal to time to go.

研究表明：当装药燃烧时间等于待飞时间时，拦截弹可消除的最大零控脱靶量可用结构加速度、待飞时间与燃料比冲的解析表达式描述，且是三者的单调增函数。

A new flux expansion nodal method was developed to solve three-dimensional multigroup neutron diffusion equations in hexagonal-z geometry. The method expands the intranodal homogeneous flux distributions in analytic basis functions for each energy group.

提出了一种在三维六角形几何节块内数值求解多群中子扩散方程的节块法，该方法把节块内各群中子通量分布用解析基函数近似展开。

We obtain the risk process involved in this model,the statistical properties of the surplus process,and statistical features of the claim numbers and the probability distribution of the total amount of compensation.The three types of business of the risk model is given when the number of claims obey Poisson distribution and negative binomial distribution.We make a comparison between the risk model built in the thesis and the classic risk models with independent claim numbers when the amount of claims obey Weillbull distribution and Exponential distribution.The results have a good practical significance.

其次，考虑不同险种间的相互关系，建立了一种含有主副理赔的风险分析模型；借助随机过程和经典风险理论，对该风险模型所涉及的风险过程、盈余过程的统计特性以及理赔总额的概率分布、数字特征和矩母函数进行解析研究，给出了主理赔次数服从泊松分布和负二项分布的这种风险模型的具体实例，并在理赔额变量服从Weillbul分布和Exponential分布的情况下，把文中所建风险模型和理赔次数相互独立的风险模型作了比较，所得结果有很好的现实意义。

On basis of the theory of metal plastic fluid and research of die cavity on non axis symmetry extrusion of special shaped products, in virtue of mathematical research results of the conformal mapping theory, by using method of normal convergence, numerical value analysis of mapping function was built.

针对非轴对称金属异型挤压塑性流动及模腔研究的理论课题，借助于近代共形映射数学理论研究成果，利用法线收敛法，建立了映射函数解析方法。

The closed-form expressions are derived so that all required differentiations are obtained in closed form and numerical differentiation can be avoided.

特别是对微带和缝隙混合结构的空域MoM分析，旋度算子的微分在谱域进行，并可以给出它们的解析表达式，其对应的空域格林函数可通过高阶的Sommerfeld恒等式获得，从而避免了数值微分。

The variation of density with depth is expressed as a function of n order polynomial function to deduce general gravity anomaly formula for 2 D density variable body having arbitrary and regular shapes.

本文把密度随深度的变化表示成任意次多项式函数，推导出了计算任意和规则形状二度变密度体重力异常的通用解析公式。

It can be translated into a Riemann-Hilbert problem by means of self-similar functions, and the universal representations of analytical solution were obtained when there is $Pt / x$ or $Px^3 / t^2$ load at the origin of the crack coordinates.

采用自相似函数的方法可以轻易地将所论问题转化为Riemann-Hilbert问题，并求得了裂纹坐标原点分别受到变载荷$Pt/ x$，$Px^3 /t^2$作用下的解析解的一般表达式。

The results show that using the theory of complex functions, the problems discussed can be easily translated into Riemann-Hilbert problems. Analytical solutions of the displacements, stresses and dynamic stress intensity factors under the action of increasing loads Px/t and Pt^3/x^2 situated at the origin of the coordinates of propagation crack, are gained by self-similar approaches.

研究结果表明：利用复变函数论方法，将所讨论的问题转化为Riemann-Hilbert问题；通过自相似方法，求得纤维增强混凝土的动态扩展裂纹的坐标原点分别在增加载荷Px/t和Pt^3/x^2作用下的位移、应力和动态应力强度因子的解析解。

Interface crack propagation problems under the influence of the central zone of the crack subjected to homogenous loads, the edges of the crack subjected to homogenous loads, the edges of the crack subjected to moving concentrated variable loads Px/ t and the origin of the coordinates subjected to point loads are studied separately, and analytical solutions of dislocation distribution functioncan also be attained.

对裂纹中心区受均布载荷、裂纹表面受均布载荷、裂纹表面受到运动集中变载荷、坐标原点受集中载荷作用下界面裂纹的扩展问题分别进行了研究，也获得了位错分布函数的解析解。

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