查询词典 operator equation

A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders.

利用不同阶次的Helmhotz算子方程的基本解，建立了时间离散不可压缩Navier－Stokes方程的完全边界积分表示式。

In chapter two,we find a completely continuous operator,the original operator equation is transformed a fixed point problem.

在第一章中，我们给出本文要用到的一些预备知识和本文的主要结果。

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。

Then, common imaging point gathers in offset domain were respectively extracted based on a single square root operator and double square root operator wave equation migration.

模型试算结果表明：与常规波动方程偏移方法相比，角度域叠加成像能够改善局部成像质量。

In order to determine the Poincare normal form of linear operator in the operator differetial equation, we need to reduce the vector-value function to the two dimensional case on center manifold.

要证明以上的结论，我们所采用的方法是[24]中的Hopf分支定理所给出的判断Hopf分支存在性及分支周期解稳定性方法。

The implementation steps are that the seismic data is collected; the Fourier transform is made for the seismic data at a certain time window; a low pass filter operator of the time domain with an interception frequency of FE and a sampling rate of DT is calculated, which is taken as the equivalent N point smooth operator; FE and DT satisfy the equation that FE*DT is equal to X*DF*1.024; the estimate value of the amplitude spectrum of the seismic wavelet and the reverse wavelet are obtained, which are convoluted with the original seismic data; and the deconvolution seismic data of the time window is obtained.

实施步骤是采集地震数据，对某一时窗的地震数据做傅立叶变换，计算截止频率为FE和采样率为DT的时间域低通滤波算子作为等效N点平滑算子，FE与DT满足FE*DT＝X*DF*1.024，进而得到地震子波振幅谱估计值和反子波，再与原始地震数据褶积，得到该时窗的反褶积后地震数据。

Secondly, we define a monotone operator and prove that the orthogonal projection is the solution for the monotone operator equation.

其次定义了一个单调算子，利用单调算子的理论，证明了求解这个正交投影等价于求解一个单调算子方程。

In Chapter 7, we prove the resolvent operator of compound KDV equation is computable via the operator method, contraction mapping principle and TTE theory.

第五章应用Backlund变换得到了变系数组合KdV-Burgers方程的N-类孤子解；第六章应用F展开法及其扩展形式得到了变系数组合KdV方程和(n+1)维Sine-Gordon方程的孤立波解；第七章运用算子方法、压缩映象原理和TTE理论，证明了组合KdV方程的解算子是可计算的；最后对全文进行了总结，并对未来的研究方向作了展望。

In constructing new solutions of Feigenbaum renor- malization group equation, it is important to know which operator commute s with the iterative operator,This paper presents a theorem about the structure of the ab.

本文揭示了与迭代算子对易的算子集合在构造Feigenbaum重整化群方程新解中的重要性。

In the chapter 2, the theoretic knowledge about the photosensitive resin and the grinding tools was firstly introduced.

第二章阐述了光固化树脂结合剂磨具的相关理论研究。

Do not use the program's indenting or margin-setting features; these will be added during typesetting.

不要使用缩排，页面边缘设置之类的选项，偶看不大懂。