查询词典 eigenfunctions

The procedure described above applies to the eigenvalues and eigenfunctions of any Hermitian operator.

用上述运算方法也能求出任一厄密算符的本征值和本征函数。

The orthogonality and completeness of the eigenfunctions are proved according to certain theories of Hilbert space.

借助Hilbert空间的理论证明了特征函数的正交性与完备性。

In chapter four, we developed a direct approach for soliton perturbation based on the Green function, This approch get rid of the proof of orthognality for eigenfunctions in a direct approch for soliton perturbation developed by Yan Jiaren etal.

第四章，发展了一种基于格林函数的孤子微扰理论，克服了颜家壬教授微扰直接法中本征函数正交性证明的困难。

In a symplectic space,eigenvalues and eigenfunctions take the place of the critical buckling loads and buckling modes of the problem.

对于壳体的前屈曲问题可采用小变形理论，而后屈曲问题则需采用几何大变形理论。

For acquiring relations between the eigenfunctions of waveguides and tensor Green function, we first take the Fourier transform of Green function. In isotropic media the simplest image function can be expressed in dyadic form, and in anisotropic media in the form of ABA+-ikz0,where A is the coordinate matrix.

为了得到波导管的本征函数和格林张量函数的一些关系，我们首先对格林函数作富氏变换，它的象函数在各向同性介质波导中以并矢形式作为最简单的表达方法，而在充有各向异性介质波导中可以表为ABA~+e~的形式，这里A是坐标矩阵。

In this paper we studied the general forms and properties of tensor Green functions in waveguides with the methods of eigenfunctions expansion.

本文以本征函数展开的方法，研究了波导管中格林函数的一般性质和形式。

Eigenfunctions obtained in this way can be divided into two parts: a perturbative part and a non-perturbative part.

这样得到的本征函数可以被分为微扰与非微扰区两部分。

In order to determine that,a conventional CG scheme is modified for our superlattices:First,apart from the former scheme,for the fixed electron density n,the eigenvalues and eigenfunctions are calculated,and then by using those,reconstruct the new n.

根据超晶格的基本方程，在固定电子密度 n下，求解了基本方程的本征值和本征函数，并由它们组成新的 n ，重复此过程直到得自洽解。

In fact, we could make the substitution and still wind up with the correct eigenfunctions and eigenvalues.

事实上，我们可以做这种代换而仍能绕弯得出正确的本征函数和本征值。

It can always be arranged that degenerate eigenfunctions are orthogonal.

总可以做到使得简并的本征函数是正交的。

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