特殊函数

In discussing the properties of reflection and refraction of fiber grating, the coupled-mode equation, envelope function, transform matrix formalism, multilayer and optical path approximation are used for describing the linear and nonlinear characteristic of optical fiber grating.

在分析光栅的反射和透射规律时，采用了耦合模式法，包络函数法，转换矩阵法，多层介质薄膜法以及光程法，这些方法虽然具有不同的数学和物理模型，但在分析光纤光栅这一特殊的波导结构时，可充分展现它的线性和非线性特性。

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。

The way on how to compute the optimal math＇s model is given and the survival condition of optimal root is discussed.

研究了一种特殊的订单生产——准时制下非核心企业的生产，分析了计划范围内的成本，并分别就各种成本给出求解公式，尤其在能力波动费用的求解上，引进了符号函数，解决了在任意单位时间段内能力累计的数学表达以及能力波动费用的数学求解，在以上基础上给出了最佳生产的数学模型，给出了求解方法，讨论了最优解的存在条件，最后，讨论了在APS中的应用前景。

It can be a memory storage ( in this case a sequence of circles is created in the storage and returned by the function) or single row / single column matrix of type CV_32FC3, to which the circles' parameters are written .

可以是内存存储仓此种情况下，一个线段序列在存储仓中被创建，并且由函数返回）或者是包含圆参数的特殊类型的具有单行/单列的CV_32FC3型矩阵

It is based on a particular way of sharing the VTables for run-time binary objects.

它是基于对共享虚函数表的运行时二进制对象的特殊方式。

Of course, you can add a Serialize virtual function to deal with your specially formatted documents, later realized this.

当然，你可以在增加一个Serialize虚函数来处理你的特殊格式的文档，这个留待以后实现了。

By means of singular model transformation technique, special Lyapunov-Krasovskii functional approach, similar Leibniz-Newton formula and linear matrix inequality concept, some new stability conditions are derived for above systems.

应用奇异模型转换技巧、特殊型Lyapunov-Krasovskii泛函数方法、相似型Leibniz-Newton公式、线性矩阵不等式观念针对上述类神经网路系统，提出新稳定测试准则。

There are other optional member functions that have special meaning.

还有其它一些可选的成员函数具有特殊的意义。

If you want to use one of these functions in a special way , just don't use the function-macro and implement that function for yourself.

如果你想使用一种特殊的方式对这些功能之一，就是不要使用该函数，宏和执行自己的职能。"/页"

After the brief retrospect of spectral methods applied to get the numerical solutions of partial differential equations, the Walsh spectral methods are extensively studied. A new method of designing the "derivate operator" and a new Walsh spectral method based on quasi-Walsh order are proposed, which primarily prove the special uses of it.

回顾了数值求解偏微分方程的谱方法，比较深入地考察了数值求解偏微分方程的Walsh谱方法，提出了一种新的设计"求导算子"的方法，基于这样设计出来的"求导算子"，提出了一种新的基于类Walsh序的Walsh函数的Walsh谱方法，初步验证了这种序的特殊价值。

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。