查询词典 hilbert problems

Fractional Hilbert transform, a generalization of Hilbert transform from integral order to fractional order, extends the application fields.

基于广义Hilbert变换将传统的Hilbert变换由整数阶向分数阶的推广，其应用领域也得到了扩展。

Hilbert space and generalized Fourier series in Hilbert space,etc.

Hilbert空间与广义Fourier级数，主要讲授内积空间内积空间中的正交系，投景定理，与广义Fourier级数。

The different width and length of Hilbert curve geometries were investigated by finite element method. The computation results show that the DGS rejects the signal at two frequencies 2.43 GHz and 7.11 GHz from 0~9 GHz with more than -15 dB suppression. Q factors of the Hilbert curve DGS is bigger than that of conventional DGS.

通过有限元法对不同Hilbert曲线宽度和长度的DGS结构微带线进行计算，计算结果表明，该结构在0~9 GHz频段内表现出2.43 GHz和7.11 GHz这2个谐振频率，对应频率的通带反射损耗低于-15 dB，并且阻带特性在谐振频率处比传统DGS微带线有更高的 Q 值。

Recently , the classical Riesz representation theorem on Hilbert spaces has been generalized onto complete random inner product modules ,in this paper the classical Friedrichs theorem on Hilbert spaces is generalized onto complete random inner product modules.

最近，经典的Riesz 表示定理已经被推广到完备随机内积模上，在此基础上本文将Hilbert 空间上经典的Friedrichs 定理推广到完备随机内积模上。首先，证明完备随机内积模上任一正Her2 mite 型惟一地对应一个正自共轭算子。

In the mathematically rigorous formulation of quantum mechanics, developed by Paul Dirac and John von Neumann, the possible states of a quantum mechanical system are represented by unit vectors (called "state vectors") residing in a complex separable Hilbert space (variously called the "state space" or the "associated Hilbert space" of the system).

在保罗·迪拉克和约翰·万·诺埃曼创立的严谨的量子力学数学公式里，用停留在一复杂可分的希耳伯特空间(很多地方称作"状态矢量空间"或与系统有关的希耳伯特空间)单位向量来描绘量子力学系统的可能状态。

Using two new methods, this paper prores one pertubation theorem on the finite Hilbert space of 2×2 operator matrices, and gereralizes this theorem to the infinite Hilbert space of selfadjoint operators.

给出了有限维Hilbert空间中2×2算子矩阵的数值域扰动定理的两种证明方法，并且将该定理推广到无限维Hilbert空间上的自伴算子。

The Hilbert amplitude envelope of the stator current includes the low frequency of fault characteristic, thus it can reduce the signal length by resample the Hilbert amplitude envelope of the stator current by downsampling, which can avoid spectrum aliasing. Then it can reduce the computation time of the MUSIC Method for the spectrum analysis to the resampled signals for the given bandwidth. Meanwhile combining continuous subdivision Fourier transform and rotor slot harmonics based slip estimation it can in advance estimate the concrete values of the fault characteristic frequency, and then inquiry purposely the fault feature component information in the stator current spectrum in order to accomplish the broken rotor bar fault with high sensitivity and h reliability, which eliminates adverse effect of issuable false peaks to the fault detection and formed a novel scheme to detect broken rotor bar fault.

定子电流Hilbert幅值包络信号包含了低频的故障特征频率调制信号，故通过对定子电流Hilbert幅值包络信号进行降采样率重采样、减少分析信号长度，可避免低频段频谱混叠，再对减少的重采样数据进行具有超分辨率的MUSIC低频段估计，可大大降低MUSIC算法频谱估计时间；运用连续细化傅里叶变换和转子齿槽谐波转差率估计技术，可预知故障特征频率精确值，从而可有目的地查询故障分量，消除MUSIC虚假波峰对故障检测混淆的影响，大大提高了故障检测的灵敏度和可靠性，以此形成异步电动机转子断条故障检测新方法。

This paper introduces eight methods of tlme-frequency analysis, such as Hilbert transform, Hilbert-Huang transform, sine curve fitting, Ricker wavelet matching, short time Fourier transform, wavelet transform, S transform and Cohen methods, This paper explains the merits and defects of those methods from the time resolution, frequency resolution and the adaptive ability of multi-frequency signals.

本文介绍了Hilbert变换、Hilbert—Huang变换、正弦曲线拟合、雷克子波匹配、短时傅立叶变换、小波变换、S变换以及Cohen娄这八种方法，并从时间分辨率、频率分辨率，以及对多频率成份信号适应能力等各方面阐述了各种方法的优缺点，对其中的一些方法结合了理论记录进行了试算，进一步阐述了这些方法的长处和不足之处。

This paper introduces eight methods of time-frequency analysis,such as Hilbert transform,Hilbert-Huang transform, sine curve fitting ,Ricker wavelet matching,short time Fourier transform,wavelet .

本文介绍了Hilbert变换、Hilbert-Huang变换、正弦曲线拟合、雷克子波匹配、短时傅立叶变换、小波变换、S变换以及Cohen类这八种方法，并从时间分辨率、频率分辨率，以及对多频率成份信号适应能力等各方面阐述了各种方法的优缺点，对其中的一些方法结合了理论记录进行了试算，进一步阐述了这些方法的长处和不足之处。

The Hilbert modulus is defined as the sum of the square of a signal and its conjugation.Hilbert modulus is used to covert the fundamental component in original phase current to direct current component,the fault characteristics frequency of bar break is transformed into the twice slip frequency.The problem is solved that fault characteristic component in the spectrum analysis of the current is easily to be blanketed by fundamental component and is hard to highlight fault characteristics.

将Hilbert模量定义为原始信号与其共轭信号的平方和，利用Hilbert模量将原相电流中的基波分量转变为直流分量，原频谱分析的转绕组断条的故障特征分量转变为频率为二倍转差频率的电流分量，决了相电流频谱分析方法中断条故障特征成分容易被基波湮没而难以突出故障特征的问题。

Combine rum (5 years old), bourbon, BOLS Cherry Brandy, BOLS Creme de Cacao Brownand heavy cream in shaker half-filled with ice.

混合(5年)朗姆酒，波本，波士樱桃白兰地，波士棕可可和厚的奶油入盛有半杯冰块的摇壶。

If he were here, everything would go smoothly.

如果他在这儿，一切都会好的。