In this paper, based on the structure characteristic of array waveguide grat-ing ( AWG), and the approximately arithmetic Bloch function, the structure mode of a planar array of taped waveguides is made.

The sufficient conditions, necessary conditions for the Bloch function on Super Cartan domain of the fourth type are obtained.

给出了第四类超Cartan域上的Bloch函数的充分条件以及必要条件。

In chapter 2, the sufficient conditions and necessary conditions for the Bloch function on D are obtained.

在第2章中，讨论了此类蛋型域上的Bloch函数的充分条件和必要条件。

Pseudo-hyperbolic Measure Characteristics of Bloch Function

Bloch函数的伪曲测度特征

Weighted characterization of Bloch function in the unit ball of C~ n

单位球上Bloch函数的带权特征

Some Characterization of the α-Bloch Function on the Unit Disk

单位圆上α&Bloch函数的几个特征

The Bloch function on the two connected is defined.

给出了二连通域上Bloch函数的定义，研究了二连通域上Bloch函数的性质。

Boole Function and Boole Polynomial

布尔函数与布尔多项式

The paper proves the existence of the maximum Borel Point of algebroidal function with finite order in a unit circle.

在开平面上有穷正级代数体函数存在最大型博雷尔方向这一工作成果的基础上，证实了单位圆内有穷正级代数体函数的最大型博雷尔点的存在性。

Infinity Order Borel Direction of Meromorphic Function

亚纯函数的无穷级Borel方向

On the sequence of filling circle and Borel direction of meromorphic function

亚纯函数的充满圆序列及Borel方向

In the first part, a standard Brownian motion processes X ( t) is taken as a basic processes, and we shall deal with stochastic Processes f ( X ( t)) that are transformed by Borel measurable function f satisfying certain conditions.

首先，取标准布朗运动过程X（t）为基础过程，然后用满足一定条件的Borel可测函数f，把X（t）进行变换而得到新的随机过程f（X（t））。

The character of Cauchy kernel solution are retained, combining physical significance of the oscillating term, so stable fracture parameters is got by replacing Dirac function with normal distribution function.

这样就保留了可做为奇异性的Cauchy核解结构特征，并结合了引起振荡项的点力项的物理意义，用分布函数来取代相应的Dirac函数就获得了稳定的断裂参量表示。

Convergence of the Legendre nonlinear approximations to the Dirac function

δ函数Legendre非线性逼近的收敛性

We solve the Dirac function with magnetic field and deduce the thermodynamic potential of the magnetic system.

为此，我们导出了磁场中Dirac方程的解并列出了磁场中系统在零温下巨热力学势的解析解。

The Impulse Effect of Dirac Function in Signal Processing

Dirac函数在信号处理中的冲激效应

Also, the ratio of the transition probability excited by double photon to that excited by a single photon is calculated and the numerical solution is found within the range of Fermi level and work function of various common metals.

计算了双光子激发与单光子激发跃迁几率之比，并在一般金属Fermi能级和功函数范围内求得了数值解。

The researches show that the Fermi function can be used to describe the refractive-index profiles of the ion-exchanged planar waveguides.

研究表明，采用Fermi函数可以很好地描述离子交换平面光波导折射率分布情况。

The method can be applied to the functions with two free coefficients, such as the Fermi function, so that it can be used to recover the graded index profiles with wide variation range.

该方法把统计优化手段导入循环迭代法，可适用于费米函数这一类曲线变化范围大、且有多个自变量的函数。

Standard molar adsorption Gibbs function, standard molar adsorption entropy and standard molar adsorption enthalpy are derived.

求出了标准摩尔吸附吉布斯函数、标准摩尔吸附熵和标准摩尔吸附焓。

Standard Gibbs function increase

标准吉布斯函数增加