查询词典 hilbert modular function

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

Using the perturbation method and Stroh's formula, a nonideal crack, which is mathematically sharp and the opposing crack faces still have a gap in which a stiffless dielectric fills, the two-field problem is reduced to a standard Riemann-Hilbert problem. The internal electric field distribution is obtained by solving a singular integral equation, and then the full field both inside and outside the crack is obtained and the electro-mechanical intensity factors to the first order of accuracy are given.

采用摄动方法对裂尖理想尖锐而裂纹面又具有一定张开的非理想裂纹进行分析，裂隙内含有无刚度的各向同性电介质，利用Stroh公式，将二域问题化为标准的Riemann-Hilbert问题，裂隙内电场分布通过解一个奇异积分方程获得，从而得到裂纹内外的力电全场分布，进而给出一阶精度下的力电强度因子的表达式。

In Chapter Ⅱ,the problem of numerical computation for singular integralswith Hilbert kernel is studied.

第二章讨论带Hilbert核的奇异积分的数值计算问题。

Fundamental study on numerical computation for singular integrals withHilbert kernel and discrete Hilbert bo...

本文对带Hilbert核的奇异积分的数值计算和离散Hilbert边值问题作了一些基础性研究。

It is composed of Empirical Mode Decomposition and Hilbert Spectral Analysis.

该方法由经验模式分解与Hilbert谱分析两部分组成。

The nuclear of the method is the newly developed HHT for nonstationary and nonlinear time series analysis, which consists of the Empirical Mode Decomposition and Hilbert Spectral Analysis.

该方法对桥梁结构健康性的最终判断依据是基于数据的非线性特征、自由振动和强迫振动的频率对比、桥梁对轻荷载及重荷载的响应。

On the problem of model parameter determination, the singularity distribution method is used to derive the expressions for numerically calculating the added mass arised from vibration of the structure under three-dimensional case; The aero-dynamic damping ratio is identified from the testing data based on the methods of empirical mode decomposition, improved random decrement and Hilbert transformation; The reduced-order spectral representation method is also deduced in this chapter based on the technique of proper orthogonal decomposition.

在模型的参数计算上，采用奇点配置法推导了三维情形下结构振动诱导流场附加质量的数值计算方法；联合采用经验模态分解、改进的随机减量法及Hilbert变换对索穹顶结构的气动阻尼进行了识别分析；推导了基于本征正交分解的降阶谱解法。

In this paper, the relations between the uniform topology, weak operator topology and strong operator topology in operator space of Hilbert space and the continuity of several operations are discussed.

讨论了Hilbert空间上全体有界线性算子所成的算子空间上一致拓扑，弱算子拓扑，强算子拓扑之间的关系，以及一些运算在这些拓扑下的连续性。

A new method to fault diagnosis of gear wear based on Hilbert-Huang transform is presented.

提出了一种基于Hilbert-Huang变换的齿轮磨损故障诊断的新方法。

The statistical theory and Hilbert-Huang transformation were used to analyze the flame acoustic signals in time and frequency domains.

应用统计理论和Hilbert-Huang变换对炉内火焰声学信号分别进行了时域和频域的分析。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。