The weyl - moyal transformation takes operator multiplication into the moyal product of functions on the phase space 希尔伯特空间算子乘积与量子空间的函数moyal星乘积之间的关系是由weyl - moyal变换联系起来的。
There are two types of end effects in the empirical mode decomposition method : in the spline interpolation and in the hilbert transform 2经验模态分解方法中，有两种端点效应：在样条插值中以及在希尔伯特变换中。
In the course of filtration , interpolation is the essential step to produce the intrinsic mode functions , and the basis of the hilbert spectral analysis 在筛选过程中，插值是产生本征模函数关键的一步，是希尔伯特谱分析的基础。
A method using transient frequency based on complex - analytical - wavelet - transform , which combines hilbert transform with wavelet transform and possesses adaptive analytical ability , is proposed 该方法将希尔伯特变换与小波变换相结合，具有自适应分析能力。
Three newcomers are included with defender gonzalo castro and striker stefan kie ? ling of bayer leverkusen , as well as midfielder roberto hilbert of vfb stuttgart 三位新招入队的球员包括来自拜尔?勒沃库森的后卫冈萨洛?卡斯特罗和前锋斯蒂芬?基斯林，以及斯图加特中场罗伯托?希尔伯特。
Quantum information was originally investigated with the discrete variables ( dv ) and was recently extended to the continuous variables ( cv ) system in the infinite dimension hilbert space 量子信息最早起源于研究单粒子分离变量系统，近期扩展到具有无限维希尔伯特空间的连续变量体系。
With this discovery a new explanation of the disagreement between gauss and hilbert concerning the flt is put forth , in which gauss opinion is justified as well as hilbert s 在此基础上，重新解释了高斯、希尔伯特两人对费马大定理的重要性认识不一致的原因，该解释肯定了高斯看法的正当性。
Each demodulation analysis technique has its merits and limitations . in this paper , the principal and limitations of the hilbert transform and generalized detection - filtering demodulation analysis are systematically studied 通过系统分析和对比现有几种解调分析方法各自的优缺点，本文深入研究了希尔伯特变换和广义检波滤波解调分析技术的原理、局限性及其工程中的应用。
Based on the analysis to fourier , wavelet and hilbert - huang transform , the application of hilbert - huang transform in the analysis of strong earthquake records is discussed with 60 strong aftershocks in jiji earthquake series 摘要在简要地介绍比较了傅立叶变换、小波变换、希尔伯特黄变换理论的基础上，针对集集地震大量强震记录进行各种变换分析比较，以探求希尔伯特黄变换在强震记录分析中应用的前景。
Based on the examination of the number theoretic backgrounds of gauss and hilbert and the relevant mathematical development in 19th century , a discovery is made by induction that the solvability and the scientific value of mathematical problems may change with time 运用归纳方法，通过对高斯、希尔伯特两人数论背景的比较以及对19世纪相关数学进展的考察，得出数学问题在不同历史时期可解性及科学价值会发生改变的结论。
