算子域

It obtains that the transport operator A has no complex eigenvalue s,and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas.

本文研究了板几何中一类具各向异性、连续能量、均匀介质的迁移算子的谱，得出了该算子A在带域Pas中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。

By analyzing the characteristics of the boundary pixels to formulate a boundary pixel extraction operator, the operator need only calculate up to 4 pixels neighborhood pixels, is efficient, fast, he can direct the use of binary images are extracted as the boundary pixel, are single-pixel wide border.

通过分析边界象素的特征，归纳出一个边界象素提取算子，该算子最多只需要计算象素的4邻域象素，运算量小，速度快，运用他能直接提取出二值图象的边界象素，得到单象素宽的边界。

Firstly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of single input-output equation in R n in the similar economical backgrounds in present articles and then gain the solution's continuity by exterior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

就R n空间中消耗为单调单值型的投入产出方程，在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，然后利用外部逼近法结合方程截断技巧证明了投入产出方程的解的连续性，最后给出了相对应于存在性和连续性的经济解释。

Secondly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of set-valued input-output equation in R n in the similar economical backgrounds in present articles too and then gain the solution's continuity by interior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

对于R n空间中消耗为单调集值型的投入产出方程，也在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，接着利用内部逼近法结合方程截断技巧对投入产出方程的解的连续性给予了证明，然后顺便简单的介绍了运用外部逼近法来得到方程的解的连续性的思路，最后也给出了相对应于存在性和连续性的经济意义。

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。

For the sake of predicting the detection effect of differential operator s,the frequency features of common operators are analyzed from the view point of frequency domain.

为了预测微分算子边缘提取能达到的效果，从频域角度出发，分析了边缘检测中常用微分算子的频谱特性。

Corresponding chaotic evolution operators and chaotic population embedding operator are designed, and the species conservation strategy based on chaotic basin of attraction is proposed to treat with asymmetric distribution of extremum and to find all or near all minima.

设计了相应的混沌进化算子以及混沌群体嵌入算子，提出了基于混沌吸引域概念的种群保护策略，适应了极值点分布不均匀的情况，达到求解全部／大部分极小点的目的。

Integral of one way wave operator in depth domain.

单程波算子在深度域的积分称为单程波算子积分解。

Two optimization schemes, which be used to constructed one-way operator in mixed domain, are described.

本文着重对混合域中单程波算子构造的两种优化方法进行分析，讨论他们与其他单程波算子构造方法之间相互关系，并用上述方法计算变速介质的脉冲响应及偏移Marmousi模型数据，以此说明该类方法的偏移精度。

Two optimization schemes, which be used to constructed one-way operator in mixed domain, are described. Firstly, their characters are analyzed, and the relations between optimization method and other methods of constructing one-way operator are given. Then In order to show precision of one-way operator constructed by two optimization methods, The impulses of varying velocity medium and migration results of Marmousi model are presented.

本文着重对混合域中单程波算子构造的两种优化方法进行分析，讨论他们与其他单程波算子构造方法之间相互关系，并用上述方法计算变速介质的脉冲响应及偏移Marmousi模型数据，以此说明该类方法的偏移精度。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。