1、

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。

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2、

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。

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3、

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。

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4、

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。

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5、

Several sufficient conditions of oscillation for such systerm are established by employing Robin eigen-function and impulsive delay differential inequalities.

利用Robin特征函数和脉冲时滞微分不等式得到了这类系统解振动的充分条件。

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6、

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。

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7、

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。

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8、

As network input, the fault feature is enhanced by eigen-function in modeling.

在建模过程中,利用特征函数强化故障特征作为网络输入。

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9、

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。

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