查询词典 eigenfunction

The representative points of positive case support vectors and negative case support vectors in sample set are defined, the measure and eigenfunction between sample x and y allusiveness from initial space to eigen space under a kernel function k are researched, and a correlative theorem with demonstration is given.

定义了样本集中的正例支持向量和反例支持向量的代表点，研究了原始空间样本x，y在核函数k映射下在特征空间中的x，y映象之间的度量和特征函数并给出了相关的定理及证明。

The characteristic equation of the beam is derived, as well as an analytic expression of its eigenfunction.

推导了此梁弯曲振动的频率方程及振型函数的解析表达式。

This paper, firstly, after a deep study of image mathematical models, sets up two kinds of image models namely Laplace partial differential equation model and biharmonic equation model and then obtains the eigenvectors of image by the methods of eigenfunction expansion and boundary recurrence.

本文首先较深入地研究了图象的数学描述，提出图象的Laplace偏微分方程和双调和方程两种模型，继而采用特征函数展开法和边界递推法分别求得图象的特征矢量。

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。

Special solutions for the ring circular domain with crack surfaces acted on uniform compressive force, linear compressive force and linear shearing force are deduced in polar coordinate employed the eigenfunction expansion technique in the Hamiltonian system of elastic mechanics. Combined with the general solution for the above problems, the analytical solutions for crack tip fields with surfaces acted on the above three kinds of loads are obtained. These solutions offer theoretical basis to construct analytical elements for plastic analysis of crack.

从弹性力学哈密顿体系理论出发，利用平面弹性力学极坐标系下的本征向量展开求解，推导了环形圆形域裂纹边作用有均布压力、线性压力和均布剪切力情况下的特解，从而得到了裂纹表面作用有以上三种荷载情况下的裂纹尖端场的解析解，为进一步构造进行弹塑性裂纹分析的奇异解析元奠定了理论基础。

Some novel methods are studied in this paper. Firstly, the author studies DGFs in chiral medium avoid us ingwave field decomposition and eigenfunction expansion methods.

一些文献探讨了旋波媒质中电磁场矢量及其DGF的形式，这些文献从各自角度探讨了旋波媒质中依赖于电磁波场本征问题的DGF形式，但都存在局限性。

Utilizing plane sectorial domain Hamilton system function via variable substitutes and eigenfunction expansion method, an analytical element is proposed in this paper for the crack analysis of reinforced concrete structures combining the bridging model and Dugdale model. Combined with finite element, nolinear crack problems of reinforced concrete structure can be analyzed.

利用平面扇形域哈密顿体系方程，通过分离变量法及共轭辛本征函数向量展开法，结合Dugdale模型和桥联力模型，推导了钢筋混凝土结构裂纹尖端的解析元列式，将此解析元与普通有限元结合，可用于分析钢筋混凝土的非线性断裂问题。

Eigenfunction of the coefficient matrix is used to analyze the stability of ordinary differential equations, so that the developing ...

还讨论了控制方程的稳定性对数值方法的重要影响，并得到步长的取值范围。

At last, we analyzed the relations between the parameters of eigenfunction and the nonlinear parameters of pacing rhythm.

最后，对拟合的特征曲线参数和起搏率变异性的非线性参数进行了的相关分析，结果表明二者具有一定的相关性。

Firstly, from the functional analysis, the eigenfunction series of vectorial partial differential operator is studied. The property of complete space is gotten. And this result is extended to the eigenfunction of Maxwells equations.

本文首先从泛函分析的方法出发，研究了矢量偏微分算子本征函数系的性质，得到了矢量偏微分算子正交完备归一化本征函数的存在证明，研究了Maxwell方程组的情况，证明了电磁场在均匀和非均匀介质条件下的正交本征函数系的完备性质。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。