查询词典 hilbert modular function

Hilbert's Invariant Theory Papers Lie Groups History, Frontiers and Applications, Vol.

中文参考译名：希尔伯特不变理论论文（李群群体的历史，边界和应用，卷。8

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

Secondly,we develop multiple-dimensional Jacobi polynomial approximations in non-isotropic Hilbert spaces.

本文在建立Jacobi谱方法和拟谱方法数值分析理论的基础上，数值求解这三类问题。

A new method of incipient fault feature extraction using joint Hilbert transform and Weibull distribution is proposed.

提出一种结合Hilbert变换与威布尔分布的早期故障特征提取新方法。

The weak Hilbert 16th problem is asking for a least upper bound Z of the number of zeros of I for a fixed n and for all possible H, f, g and all h∈△.

弱化的Hilbert第十六问题就是对给定的n和一切可能的H，f，g以及h∈△寻求I零点个数的最小上界Z。

The main topics are: set theory foundation, Lebesgue measure and Lebesgue integral, basic theories on linear normed spaces and Hilbert spaces and introduction to linear bounded operators.

本课程基本内容包括集合论基础、Lebesgue测度与Lebesgue积分、线性赋范空间与Albert空间的基本理论和有界线性算子简介。

In this paper,the new Theorems are presented to prove some sufficient and necessary condition of Ishikawa iterative sequence with error member for Lipschitz hemi-contraction mapping in Hilbert space converging to the fixed point.

本文给出了Hilbert空间上的Lipschitz半压缩映像的具有误差项的Ishikawa迭代序列收敛于不动点的充分必要条件。

A three solutions theorem of nonlinear operator equation in Hilbert space was given by Sun Jing-xian in 1983,in this paper,the theorem was expanded to general Banach space by using gradient method ,and some conditions was weakened,such as the local Lipschitz condition s transformation to the bounded character of F and so on.

依据H ilbert空间中非线性算子方程的一个三解定理，本文运用最速下降法将这个定理推广到了一般的Banach空间，并且减弱了原定理的某些条件，如将局部Lipschitz条件减弱为F的有界性等

In the past, the high frequency resonance technique is usually applied in the envelope detection for a vibration signal with amplitude modulation. When applying the Hilbert transform in the high frequency resonance technique for the envelope detection of vibration signals, the computing burden is very high. On the other hand, when applying the linear least squares analysis method, the computing burden is lower. When applying the envelope detection in the lowest vibration mode, an accelerometer with the low-pass filtering cutoff frequency at 4kHz should be choose.

在过去的研究方法中，振动讯号之振幅调变通常以高频解调分析法应用於包络讯号侦测，而高频解调方法应用希尔伯特转换的包络分析，所需要的计算量是非常的高，若以线性最小平方分析法应用於高频解调分析法中，则所需要的计算量较小，如果以最低模态来估测包络讯号时，可以适当的选取加速规来代替低通滤波器，而加速规的截止频带必须在4kHz左右。

Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate.

数学逻辑原则代表了该次辩论的希尔伯特的重要贡献之一。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。