Although Einstein was the better physicist, Hilbert was the better mathematician.

尽管爱因斯坦是更好的物理学家，但希尔伯特是更好的数学家。

In 1915, Einstein made a trip to Gottingen to give some lectures at the invitation of the mathematical physicist David Hilbert.

1915年，应数学物理学家大卫·希尔伯特的邀请，爱因斯坦去哥廷根做了几次演讲。

The visit was a triumph, and he said to a friend excitedly, "I was able to convince Hilbert of the general theory of relativity."

这次访问是一次胜利，他兴奋地对一个朋友说：“我说服了希尔伯特相信广义相对论。”

Einstein discovered to his horror that Hilbert had taken what he had learned from Einstein's lectures and was racing to come up with the correct equations first.

爱因斯坦惊恐地发现，希尔伯特把他从爱因斯坦的讲座中学到的东西都拿来了，而且还在争先恐后地首先提出正确的方程式。

Using the Hilbert space filling curve.

使用Hilbert空间填充曲线。

Hilbert called the above approach the genetic method.

希尔伯特称以上的处理为原生法。

The conclusion is that the Hilbert Hotel can't accommodate all the real Numbers.

综上所述的结论是，希尔伯特旅馆容纳不下所有的实数。

The other is software signal processing method, mainly based on Hilbert transform.

软件信号处理方法，以希尔伯特变换为基础。

For the Hilbert Hotel doesn't merely have hundreds of rooms - it has an infinite number of them.

希尔伯特不仅拥有成百上千的房间——而是有无穷多的房间。

It is an effective and reliable method to analyze signals and diagnose gearbox by Hilbert power spectrum analysis.

作包络功率谱分析，能有效地对齿轮箱故障进行诊断分析。

But rather than working directly with sets of Numbers or points, let me follow an approach introduced by Hilbert himself.

不过并非直接奔向数集或点集的内容，让我们沿着希尔伯特推荐的思路走。

The reconstruction signals were demodulated with Hilbert transform, and envelope spectrum at each band was obtained.

利用希尔伯特变换解调分析各频带信号，得到对应频带信号的包络谱；

In this paper Hilbert Transforms for gravity anomalies of some regularly shaped three dimensional bodies are derived.

本文导出了某些三维规则形体重力异常的希尔伯特变换式。

By means of Hilbert transform, the author obtains the signal envelope, and then calculates the demodulation spectrum.

首先利用希尔波特变换解调出信号包络，进而计算出解调谱；

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。

Finally, it studies how to obtain the best result using generalized Hilbert transform in noised signal edge-detection.

最后，总结出广义希尔伯特变换如何在含噪信号的边缘检测中取的最佳效果。

Studies have shown that the Hilbert curve preserves very well the topological information, even better than the Z-ordering.

研究表明，Hilbert曲线可以很好地保存拓扑信息，甚至优于Z顺序曲线。

The shift method presented recently is a flume wave measurement method based on light refraction and Hilbert transform.

最近提出的偏移算法是一种基于光线折射和希尔伯特变换的水槽波浪测量方法。

The speed and accuracy of demodulation analysis are improved greatly, and the limitation of Hilbert alternation is overcome.

提高了解调分析的速度和精度，克服了希尔伯特变换应用的局限性。

The principle of demodulation by Hilbert transform and its performing steps using FFT subroutine are introduced in this paper.

文中介绍了希尔伯特变换的解调原理以及用FF T子程序实现解调的步骤。

A sine basis function model is introduced, bringing forward an example of Hilbert convertor and differentiator optimal design.

提出了一种正弦基函数神经网络模型，给出了海尔·伯特变换器与微分器优化设计实例。

This paper presents a fast sequential and parallel algorithm for the generalized Hilbert matrices multiplied by general matrices.

本文给出了拟希尔伯特阵和一般阵相乘的快速串行与并行算法。

The research paper, thought a bit esoteric and lacking in detail, supports its argument with math involving Hilbert systems and entropy.

研究论文，通过思考一些复杂和支离破碎的细节，用涉及希尔伯特系统和熵的数学来支持论证。

He vividly conveyed the strangeness and wonder of Cantor's theory by telling a parable about a grand hotel, now known as the Hilbert hotel.

他讲了个关于一家酒店的预言故事，生动传达了康托理论的奇异之处，此故事在当今被称作希尔伯特旅馆。

This paper studies the causality and analyticity characteristics in harmonic oscillator, and from which drives Hilbert transform pair.

本文对谐振子的因果律和解析性质进行了研究，并由此推导出谐振子的希尔伯特变换对。

An improved Hilbert vibration decomposition (HVD) method was introduced to the non-integer harmonic analysis in electrical power system.

针对现有电力系统非整数次谐波分析法的不足，提出了一种改进的希尔伯特振动分解(HVD)方法。

There are two types of end effects in the empirical mode decomposition method: in the spline interpolation and in the Hilbert transform.

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。

We discuss at length the properties of a very important class of kernels which lead to the key notion of Reproducing kernel Hilbert Space (RKHS).

我们将详细的讨论核心课程中十分重要的特质，其引导出再生核希尔伯特空间理论(RKHS)中一个非常关键的概念。

For showing this characteristic, this paper further calls the HHT as the Hilbert-Huang transform Local-instantaneous signal analysis (HHT-LISA).

为了体现这一特点，本文将HHT进一步称为希尔·波特-黄变换局瞬信号分析(HHT - LISA)。