查询词典 hilbert problems

Moreover, when X is a Hilbert space, Miaxoguchi and Takahashi provided the ergodic retraction theorem for general semigroups of asymptotically nonexpansive mapping by using the concept of invariant submean.

进一步，当X是Hilbert空间时，Miaxoguchi及Takahashi引入了不变子平均的概念，在一般拓扑半群上给出了渐近非扩张半群的遍历压缩定理。

After the mathematic model of spatial spectrum analysis was introduced, interharmonic signals can be transformed to spatial signals received by linear sensor array through Euler\'s formula or Hilbert transform. The number of sinusoidal components of the interharmonic parametric model was corresponding to the source number of transformed spatial signals, and the frequencies of sinusoidal components were corresponding to that of transformed spatial signals.

3介绍了空间谱分析的数学模型，证明了间谐波信号经欧拉公式或希尔伯特变换后可以转变为空间线性阵列接收的空域信号，正弦成分数对应空域信号源数，正弦成分频率对应空域信号频率。

A new kind of exceptional family of elements is introduced for a class of mixed variational inequality problem in a Hilbert space.

本文对Hilbert空间中的一类混合变分不等式引入了一种新的元素例外族。

Proof theory grew out of David Hilbert 's ambitious program to formalize all the proofs in mathematics.

证据理论中衍生出来的大卫希尔伯特的雄心勃勃的计划，正式的所有证据在数学。

In the twentieth century, David Hilbert employed axiomatic reasoning in his attempt to update Euclid and provide modern foundations of geometry.

古典文书允许在几何结构的指南针和直尺。

David Hilbert was particularly interested in the foundations of mathematics.

大卫希尔伯特特别有兴趣在数学的基础。

On one occasion, Hilbert squeaked to the assembly: There have been two great crises in the Foundations of Mathematics.

有一天，希尔伯特对它的听众说：数学基础存在两个极大的危机。

A method based on wavelet threshold denoising and Hilbert-Huang Transform was proposed to solve the fault diagnosis problem of four-way valves.

提出一种基于小波阈值去噪和希尔伯特－黄变换的故障诊断方法。

It is shown that many of the existing integral transforms (including their logically equivalents) such as chirplet transform, dispersion transform, wavelet transform, chirp-Fourier transform, short-time Fourier transform, Gabor transform, Fourier transform, cosine transform, sine transform, Hartley transform, Laplace transform, z transform, Mellin transform, Hilbert transform, autocorrelation function, cross-correlation function, and the energy and mean of a signal, can each be considered as a special case of the FMmlet transform with specific parameters. In fact, an inventory of subspaces of FMmlet transform runs into countless numbers. The subspaces mentioned above are merely a few among a zoo of subspaces. They are essentially obtained by cutting the transform space of FMmlet transform at different positions, and can be likened to the computed tomography in medical diagnosis. Through these subspaces we actually see different slices or profiles of the FMmlet transform.

将现有诸多变换置于统一的 FMmlet 变换中加以审视，发现 chirplet 变换、频散变换、小波变换、 chirp-Fourier 变换、短时 Fourier 变换、 Gabor 变换、 Fourier 变换、余弦变换、正弦变换、 Hartley 变换、 Laplace 变换、变换、 Mellin 变换、 Hilbert 变换、自相关函数、互相关函数、能量和均值等，均为 FMmlet 变换在其参数取特定值时的特例；上述诸变换之间的差别，主要在于变换空间的维数有别，以及在不同空间维上取值的不同；这些变换有如医学诊断中的 CT，均由压缩 FMmlet 变换域空间所致，可以说我们通过这些变换看到的，是 FMmlet 变换的不同剖面。

Subsequent chapters develop measure theory, point-set topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces

制定措施以后各章的理论，点集拓扑学，傅立叶的勒贝格积分系列，与Banach和Hilbert空间的基本知识

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。