正线性算子

Discussions of the sparsity and condition number of the expansion matrix are presented.

本文还对一般线性积分算子在正交小波基下的展开进行了讨论。

First,an optimal filtering operator on the continuous fractional Fourier domain is provided according to the orthogonality principle about the linear minimum mean square error estimation,and then,a discrete algorithm of the filtering operator is further proposed.

首先由线性最小均方误差估计的正交条件出发，得到了连续分数阶傅立叶域上的等效Wiener滤波算子的求解方法；在此基础上，进一步给出了滤波算子的离散化算法。

Finally, we study the eventual differentiability of a C_0-semigroup associated to a waveequation with boundary dissipation.

最后，我们讨论了一类具边界耗散的线性双曲型方程生成的算子半群的最终可微性，并利用这个结果得到了方程的解具有最终正则性以及半群满足谱决定增长条件。

In this paper, we will introduce the weighted modulus of smoothness and the weighted K-functional to discuss the direct and the converse theorems, the local saturation results on the simultaneous approximation on an infinite interval with Jacobi-weight by the integral operator, the lin...

本文利用带权光滑模与带权K--泛函讨论定义在无穷区间上的积分型算子Gamma算子线性组合对空间L_∞(0，∞)中函数的带Jacobi权同时逼近的正逆定理以及局部饱和结果，还讨论了Gamma算子的强逆不等式。

In this thesis,we discuss the problems of applying regularization methods to solvelinear and nonlinnear operator ...

本文讨论了利用正则化方法求解线性及非线性第一类算子方程的问题。

The ground-state energy and the average number of virtual phonons around the electron of a hydrogenic impurity confined in a parabolic quantum dot are calculated using the squeezed-state variational approach,which is based on two successive canonical transformations and uses a displaced-oscillator type unitary transformation to deal with the bilinear terms,which are usually neglected.

李伟萍 内蒙古赤峰学院物理与电子信息工程系，赤峰 024000肖景林内蒙古民族大学物理与电子信息学院，通辽 028043采用基于逐次正则变换的变分方法，利用单模压缩态变换处理包含声子产生湮灭算符的双线性项，研究了抛物量子点中束缚极化子的性质。

In Chapter 2, an existence theorem is obtained for periodic solutions of non-autonomous second order systems with even-typed potentials. We also investigate solutions of linear bounded positive self-conjugation operators equations in Hilbert Space by variation methods.

第二章主要利用临界点理论中的归药方法、极小作用原理研究具偶型位势的二阶非自治系统周期边值问题，得到了周期解的存在；利用变分方法证明了Hilbert空间中有界线性正自共轭算子方程解的存在性。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。