特征函数

What s more, we wonder whether there are some qualities about algebroid function corresponding to meromorphic func-tion,specially, concerning deficiency, characteristic function,differential polynomial and so on.

而且一些亚纯函数中存在的性质在代数体函数中是否相应存在仍有待研究，特别是涉及亏量、特征函数及微分多项式等方面。

Part Two. The approximation theory of distributed parameter systems.

偏微分方程的特征函数理论是研究分布参数系统的一个有效方法，但分布参数系统的特征函数的求取十分困难。

In this paper perturbation of eigenvalue and eigenfunction for higher order ordinary differential equation in the case of boundary perturbation combined with operator perturbation we considered.

本文研究了在边界和算子摄动相结合的情况下高阶常微分方程特征值与特征函数的摄动，把摄动问题A_6，μ的特征值λ_ε，μ和特征函数y_6，μ按两参数ε、μ的次幂展开，并且证明这些展开式当ε、μ充分小时是收敛的。

Then the integral-differential equations were reduced to the form with degenerate core by expanding Green＇ s function as series of characteristic function.

再使用展开法求出格林函数，即将格林函数展开为特征函数的级数形式，积分微分方程就成为具有退化核的形式，从而容易得到关于时间的非线性常微分方程组。

The diffraction potential functions are obtained by using the eigenfunction expansion method, and expressions for reflection and transmission coefficients are defined.

首先利用特征函数展开法导出了绕射势函数的分析解并进一步得到透反射系数的计算公式，然后利用边界元方法验证了解析解。

Through establishing the functional of the source pulse which is based on the concept of "usable energy" in the received pulse and then extremizing the functional by means of the calculus of variations, the mathematical models of the optimized source pulse waveforms are shown to be associated with the eigenfunctions of a homogeneous Fredholm linear integral equation of the second kind. An efficient algorithm is developed for numerically solving the integral equation models.

论文研究了基于延迟反射脉冲序列无源标签的UWB RFID系统的基本工作原理并进行了详细的信号描述和分析，通过建立基于接收脉冲"有效能量"概念的源脉冲波形函数的泛函和使用变分计算泛函极值，得到了相关于第二类齐次Fredholm线性积分方程特征函数的源脉冲波形最优解数学公式模型，并开发了一套有效的数值求解算法。

Furthermore, the Taylor's expansion of $\varphi(t_1,t_2)$ is given and the relation between chance distribution and characteristic function such as inversion formula is obtained.

此外，我们还给出了特征函数$\varphi(t_1，t_2)$的泰勒展式，得到了机会分布与特征函数的关系式反演公式，唯一性定理，正极限定理，逆极限定理等。

In this paper, complete eigen-values salution method, characteristics of multiple roots and eigen-functions calculation are described.

重点介绍了在求解二维切口问题完备特征根方面的一些进展，包括特征根的求解方法、特征根的重根探讨以及相应的特征函数计算，这一问题基本上得到了解决。

The method of separation of variables is used to solve the conjugate couples of eigenvalues and eigenvectors of the system, and the condition of symplectic, conjugated-type of normalization is proposed.

用分离变量法求解系统的各阶共轭特征值对和特征函数对，并提出特征函数的辛共轭正交归一关系。

The closed-characteristic expression is proven to be of a A-class entire function and some related propositions are also given. Based on them a series of nathematic deviations are done, which brings an analytic expression between the controller parameters and the cost funtion as well as the restrictions on the optimization problem. In this way the original proposition is concretized for solving.

从系统的传递函数出发，首先证明系统闭环特征函数为A-类整函数的性质并给出其它有关定理，然后进行一系列数学推导，得出了控制器参数与目标函数间的解析关系式及优化的约束条件，由此产生参数优化的具体命题。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷