生成函数

In this paper, the normal and abnormal cylindrical vector wave functions are constructed and their conversion relations are found out.

引言 文献tl中提出，在某个坐标系统里，用同一生成函数集，不同的领示矢量，可以构成标准和非标准矢量波函数。

To this end, they need to find an effective generating function, according to some of the objects reflect the characteristics of the children what the parameters of the simulation features to generate the necessary data on what children.

为此，便需要寻找一种有效的生成函数，根据一些反映物体儿何特征的参数，生成模拟景物所需要的儿何数据。

The universal generating function can express the relation between system performance level and state probability, and use the u-functions of elements to obtain the u-function of system.

通用生成函数能够表达系统性能水平和状态概率之间的关系，并且可以方便地由元件的u函数获得系统的u函数。

Hamilton modeling and generating function method for relative motion were introduced. Approximation of Hamilton function for relative motion of satellite formation and its impact on modeling accuracy were interviewed.

采用分析力学方法研究DSS卫星间的相对运动，讨论了DSS相对运动的Hamilton力学建模与生成函数近似求解方法，分析了相对运动的Hamilton函数近似阶数对求解精度的影响。

Optimal control of DSS formation adjusting based on Hamilton Mechanics and generating function method was investigated. An iterative way of solving the two-point boundary value problem induced by optimal control by relative motion generating function approximation was proposed.

基于考虑J_2项的DSS相对运动Hamilton力学模型和生成函数方法研究了DSS构形调整的最优控制问题，提出了求解最优控制两点边值问题的相对运动生成函数近似迭代方法。

First low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton "relative motion" to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by only using low order approximation, which is much cost effective in computing.

首先以较低的计算代价，获得最优控制Hamilton系统生成函数的低阶近似，得到一条近似的最优轨线，然后将最优控制Hamilton系统相对于近似最优轨线求"相对运动"，该"相对运动"仍具有Hamilton性质，利用这一"相对运动"的生成函数低阶近似，可以对近似最优轨线进行迭代修正，从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。

The method used to check for completeness is based on a set of sufficient conditions proposed by Guttag and Horning We weakened the definition of the measure function and the conditions under which an extension function can be converted to constructors and generators.

完备性的验证方法是，以Guttag-Horning的一组完备性充分条件为基础，放宽其中测度函数的定义，以及扩充函数可以转为生成函数与构造函数的判别条件，拓广了充分条件的适用范围。

Based on the analysis of some aspects, such as the approximative algorithm of FOC, the Tustin transform theory and its generating function formula's character, the convergence guarantee of binomial power function by Maclaurin expanding, and the consideration of the limitation of conventional methods, an improved method is proposed to compute the numerical evalution of FOC using PSE and Tustin transform and is further applied to solving the linear FOS.

以分数阶算子近似方法的分析研究为基础，基于Tustin变换理论及其用于分数阶算子的离散生成函数公式特点，利用二项式幂函数的Maclaurin展开能够保证收敛的特性，考虑常用算法的局限性，提出了一种改进的基于幂级数展开和Tustin变换的分数阶运算方法，并应用于线性分数阶系统的求解，给出了递推算法的详细推导。

By now it includes a graphical function plotter, a mechanism to derive functions, and an equation solver.

目前它包括一个图形函数绘制器，一种生成函数的机制，以及一个等式计算器。

By using muti-variable mean generation f uncti on of the predictand and its predictor, the mean generation function is orthogon alized by means of the Gram-Schmidt s method.

用预报量与多变量预报因子的均值生成函数，通过 Gram- Schmidt正交化使均值生成函数彼此正交，同时利用双评分准则确定入选预报模型的均生函数个数，最后建立山西省季节降水的预报模型。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人