Quantum invariant eigenvalue and eigen function of quantum invariant operator of time-dependent damped harmonic oscilator

The boundary conditions are satisfied rigorously and the solutions are expressed by means of eigen function expansions.

边界条件可以精确满足，同时，解答是用本征函数展开式表达的。

A general eigen function was deduced for computing global buckling load combined with a Rayleigh-Ritz method.

结合Rayleigh-Ritz能量近似法，推导出了求解加筋板总体屈曲载荷的通用特征方程；

For solving the matrix, we suggest a special iterative method in which the initial values of each iteration are estimated uncommonly. The discrete data of eigen-function would be exact enough when the iteration was run abort 10 to 20 cycles.

本文提出采用叠代法，可求解阶数很高的矩阵，但叠代初值须经特殊处理，经过10～20次的叠代就可得到足够精确的反应器特性函数的离散值。

It is proved with the Prufer ′ s transformation that a classical result due to Sturm remains true: the ( n+ 1)-th eigen-function has exactly n zeros in ( a, b).

文中用Prüfer变换证明，Sturm的一个经典结果仍旧是成立的：即（E0）的第n+1个特征函数在（a，b）恰有n个零点。

The eigen-relaxation time and eigen-function for viscoelastic toroidal deformation can be analytically given when the total layer number is up to 6 between CMB and earth surface.

当核幔-地表小于6个分层时，本文能解析地给出了粘弹性地球环形场的特征松弛时间。并写出了地表剪切应力激发下的特征函数表达式。

Bi-orthogonal eigen-function systems were assigned to launch such a sophisticated problem, and Chebyshev collocation method gained its power in the numerical procedures.

建立问题的双正交系统，并应用Chebyshev配点法对模型问题进行数值求解。

The stiffness matrix was concretely expressed with subsection functions and little parameter, and the system differential function could be simplified into some isolated eigen-function.

将系统位移分为静位移和动位移，用分段函数及小参数表示系统刚度矩阵，导出了系统正则化微分方程。

In this paper we describe the eigen-function expansion for the boundary value problems of electromagnetic theory of cylindrical grating.

本文介绍利用本征函数展开处理圆拄面光栅电磁理论的边值问题。

Wave attenuation properties of rectangular pontoon breakwater were analyzed with eigen-function expansion.

利用特征函数法对矩形浮箱式防浪堤的消浪性能进行分析。

Conclusion IBS patients' gallbladder empty in g ratio decreased, empty in g function is letdown.

结论IBS组胆囊排空率下降，排空功能不良。

If set to an empty string, the function enumerates one font in each available typeface name.

如果设置一个空字符串，函数在每个可用的字体名称中枚举一种字体。

Conclusions In normal people, with the increase of age, left atrium size, pressure and reserve function increase, and the passive empty function is reduced in aged people.

结论正常人中老年组较青年组左房扩大，心房内压力和储存功能增加，心房内血流速度及被动排空功能下降。

An empty function as a placeholder for the code that will actually perform the desired work.

一个空的函数，它作为实际执行所需工作的代码的占位代码。

Conclusion: Ultrasound was able to assess the empty function of stomach in healthy subjects.

结论：超声能准确评价正常胃排空功能状态。

The closeRequest() method sets the onreadystatechange property to an empty function, calls the abort() method, and then frees the memory of the request object, using the delete operator of JavaScript.

closeRequest（）方法将onreadystatechange属性设置为一个空函数，调用abort（）方法并之后使用JavaScript的delete操作符释放request对象的内存。

BP Algorithm Based on Robust Error Function

基于鲁棒误差函数的BP算法

Study on the methods for computing error function erf x

误差函数计算方法的研究

That could actually be a maximum of this error function D.

这可能会，令函数D的误差达到最大。

And we also discuss the wind direction prediction method and its error function.

同时还探讨了风向预测方法及误差评价参数。

The Learning Error Function of Neural Network and Its Generalization

神经网络的学习误差函数及泛化能力