组合函数

In this paper, the theories of generation function and recursive relation in combinatorics is used to analyze the time complexity of some special recursive algorithm, with three conclusions reached simultaneously, which is of valuable reference to the analysis and research on algorithm.

提出了用组合数学中的母函数与递推关系理论来分析一些特殊的递归算法的时间复杂度，并同时得出三个推论，在算法的分析与研究方面具有一定的参考价值。

As the choice of Neural Network will directly affect the detection data, BP based system is constructed by error reversion algorithm to train itself. It is simper and faster than other type of system.

由于系统所采用的神经网络的类型将直接影响数据检测结果的准确性，而BP神经网络是以误差反向传播算法对网络进行训练，其结构简单、收敛速度快；RBF 神经网络以简单变量的参数组合为函数来实现，具有训练速度比较快、性能比较好的特点。

SOS methods receive much attention of researchers because of their simple computation and convergence rates.

在本论文第3.7节，提出了一种信道阶数与冲激响应函数的联合估计算法——线性组合子空间法，提高了SOS算法的效率。

Finally, we optimize the allocation of a portfolio based on spectral risk measure. The optimization results are fully explained.

最后，提出了以谱风险度量为目标函数的投资组合优化配置模型，并讨论了模型的求解结果。

We proposed a set of tabulate shim coils to improve the imaging field homogeneity for permanent magnet. By studying the magnetic spherical harmonics and its Taylor expansion, the proposal of designing lower-order radial coils was derived including x, y, xz, xz~2, x~2-y~2 etc. In addition, a novel composite design was presented for the axial coils. By controlling the shim currents of axial coils, different axial magnetic fields can be obtained. This method simplified the design process of axial coils, and made the axial correcting magnetic field more precise.

本文针对永磁体的组成结构提出了一种平板式匀场线圈设计方法，通过研究成像磁场的球谐函数以及通电圆弧在自由空间产生磁场的泰勒展开级数，导出了x、y、xz、xz~2、x~2-y~2等低阶径向线圈的设计方法，同时针对轴向线圈提出了一种新的混合式设计方案，能够通过控制线圈中的电流组合实现对不同轴向磁场分量的获取，简化了轴向线圈的设计过程，提高了校正磁场的准确性。

In fact, the Standish group reports that over 80% of projects are unsuccessful either because they are over budget, late, missing function, or a combination.

事实上，Standish Group的报告，超过80％的项目是不成功的，因为他们要么超过预算，过晚，缺少函数，或组合。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

In this paper,the sum of products equality is proved,and the density function of the linear combination of tow-parameters exponential random variable s is presented.

证明了一个关于积和的等式，并由此推导出双参数指数型随机变量的线性组合的概率分布密度函数

In practice a test fixture usually is a combination of setup and teardown functions, associated with test case.

实际上测试夹具通常是安装和拆卸函数的组合，和测试用例结合。

Based on typical stochastic functional and combinatorial optimization problems, the effects of hypothesis test, performance estimation number and magnitude of noise on the performance of the approach are studied, and the effectiveness and robustness of the proposed approach are demonstrated.

基于典型的随机函数优化和组合优化问题，仿真研究了假设检验、性能估计次数、噪声幅度对算法性能的影响，验证了所提方法的有效性和鲁棒性。

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。