组合函数

By means of classical analytic method and combinatorial computational technique, such as functional equations, Liouville theorem, series rearrangements, this dissertation investigates the product identities on theta functions.

利用经典分析方法及组合计算技巧，例如函数方程，Liouville定理，级数重排等，本文着重研究theta函数中的乘积恒等式。

This was achieved in terms of quantitative measure of the correlation coefficient between these energy items and the root mean square deviation of backbone atoms from the native complex structure.

最后，我们将静电和修正的ACE水化能结合作为打分函数用于36个蛋白质复合物体系的对接研究，进一步证实了这两种能量项的组合能有效地将近天然结构从分子对接模式中区分出来，可以用作蛋白质-蛋白质对接中的打分函数。

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

Second, taking risk taste coefficient into the model solve the problem of without risk taste in model. Third, it builds up a new model based on the thought of GA and mistiness mathematics as the fit function in GA.

第二，以遗传算法中的目标函数的方式建立了基金投资组合模型，以风险调整的收益的最大值作为遗传算法中的目标函数，应用遗传算法进行了求解。

Using the linear combination of normal probability density functions to fit histograms of mean durations, it has the advantage of visualigation.

该方法用多正态密度函数（正态密度函数的线性组合）拟合平均持续时间的直方图，具有可视性的优点。

Firstly,the mixed-integer bi-level programming is transformed into a single level continuous optimization problem by virtue of penalty function concept and optimal value function tool.

利用罚函数思想和最优值函数的概念将混合整数双层规划转化为连续变量的单层非线性规划，然后用事先确定步长的凸组合算法迭代求解此单层非线性规划，进而得到原双层规划的局部最优解

To develop the missile quasi-linear model, a state space model is established for missile dynamics, and function substitution method is used to describe the nonlinear dynamics of missile as linear combinations of functions of given time-varying parameters. With the minimizing variation range of model parameters over the whole design envelope as the optimum aim, linear programming optimum arithmetic is used to determine the model parameters at selected grid points.

为了建立导弹准线性化模型，将导弹动力学描述为状态空间形式；采用函数替换方法将导弹的非线性动力学描述为关于特定时变参数的函数的线性组合形式；以整个设计区间内模型参数变化范围最小为优化目标，采用线性规划优化算法确定了所选网格点上的模型参数。

Then, a method to generate adaptive UWB shaping pulse was proposed based on weight combination of prolate spheroidal wave functions matching UWB multiple sub-band spectral mask.

然后，利用PSWFs函数的特性，提出了一种基于多频带的PSWFs函数基的加权线性组合来设计UWB自适应脉冲波形的算法。

From the relationship of the random set and random membership function, various combination rules from stochastic point of view can be constructed.

最后通过建立随机集和随机隶属函数之间的对应关系，并利用随机集的特点，作者得到了随机隶属函数的组合律。

It can make some function that contends some command into linar integrate of Sine function.

它能将满足一定条件的某个函数表示成正弦基函数的线性组合或者积分。

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。