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。
Although Einstein was the better physicist, Hilbert was the better mathematician.
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。
In 1915, Einstein made a trip to Gottingen to give some lectures at the invitation of the mathematical physicist David Hilbert.
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。”
The visit was a triumph, and he said to a friend excitedly, "I was able to convince Hilbert of the general theory of relativity."
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。
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.
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。
The research paper, thought a bit esoteric and lacking in detail, supports its argument with math involving Hilbert systems and entropy.
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。
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.
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。
But rather than working directly with sets of Numbers or points, let me follow an approach introduced by Hilbert himself.
综上所述的结论是，希尔伯特旅馆容纳不下所有的实数。
The conclusion is that the Hilbert Hotel can't accommodate all the real Numbers.
干涉效果是很多量子现象的重点，并在希尔伯特的数学理论中找到了本质的描述。
Such interference effects lie at the heart of many quantum phenomena, and find a natural description in Hilbert's mathematics.
对酒店业来说即意味着，如果所有的实数来到前台要求入住，即便如希尔伯特旅馆也是没有足够的房间接待他们的。
For the hospitality industry, this means that if all these real Numbers show up at the reception desk and bang on the bell, there won't be enough rooms for all of them, even at the Hilbert Hotel.
希尔伯特不仅拥有成百上千的房间——而是有无穷多的房间。
For the Hilbert Hotel doesn't merely have hundreds of rooms - it has an infinite number of them.
早在一世纪前，数学家就提出过这种构造的假设（译注：指希尔伯特曲线），现在这种假设就被应用于对人类基因组立体结构的描述。
This type of shape was mathematically postulated over a century ago, and has now been shown to describe the genome’s three-dimensional structure.
大巴的数量无穷多，而且更严重的是，每辆大巴上载着无穷多的乘客，无不暴躁地要求旅馆兑现“希尔伯特永远有房可住”的诺言。
There are infinitely many buses, and worse still, each one is loaded with an infinity of crabby people demanding that the hotel live up to its motto, “There’s always room at the Hilbert Hotel.”
在量子语境中的解释“不”意为把“song”作为在称为语义环境的多维希尔伯特空间中的标志，所有有相同意思的单词都集中在这个标志附近。
Interpreting "not" in the quantum sense means taking "songs" as an arrow in a multidimensional Hilbert space called semantic space, where words with the same meaning are grouped together.
梅尔·费希尔寻宝公司的潜水员比尔·伯特，在搜寻“阿托卡夫人号”沉船时发现了一条40英寸（约101厘米）长的金链。 “阿托卡夫人号”在1622年的一场飓风中，永远沉没在美国弗罗里达州的海底。
Bill Burt, a diver for Mel Fisher's Treasures, spotted the 40-inch gold chain while looking for the wrecked Nuestra Senora de Atocha, which sank off the Florida Keys in a 1622 hurricane.
当艾伦意识到这一点，他就知道了希尔伯特的问题的答案。
And once he had seen this, he knew the answer to Hilbert's question.
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。
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).
希尔伯特说，节日快到了，葡萄酒节和圣诞集市将在市里的大教堂广场举行，组织者们必须提供公共厕所。
Hilbert said that with the festival season approaching and a wine festival and Christmas market due to take place in the Münsterplatz town square, organizers must provide public toilets.
前一部分包括细化变换、倒谱技术、希尔伯特变换和谱分析器与计算机之间的数据传输。
The first part includes zoom transform, cepstrum analysis, Hilbert transform, and the data transfer between the spectrum analyzer and the computer.
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 shift method presented recently is a flume wave measurement method based on light refraction and Hilbert transform.
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。
Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate.
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；
The reconstruction signals were demodulated with Hilbert transform, and envelope spectrum at each band was obtained.
南加利福尼亚州年夜学的马丁·希尔伯特博士率领了这项研究，他指出该项数据异常巨年夜，但与自然对比饶暌怪是牛之一毛。
Dr Martin Hilbert of the University of South California, who carried out the study, admits that the Numbers involved are too large to comprehend - but that they are dwarfed by nature.
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。
Finally, it studies how to obtain the best result using generalized Hilbert transform in noised signal edge-detection.
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 speed and accuracy of demodulation analysis are improved greatly, and the limitation of Hilbert alternation is overcome.
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。
The principle of demodulation by Hilbert transform and its performing steps using FFT subroutine are introduced in this paper.
本文运用希尔伯特变换空间调制器使十字光栅一级衍射谱的强度分布用于精密定位。
Using a Hilbert transform Modulator, the intensity distribution of first-order spectrum of crossed-slit is used for accuracy positioning in practice.
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。
This paper presents a fast sequential and parallel algorithm for the generalized Hilbert matrices multiplied by general matrices.
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。
There are two types of end effects in the empirical mode decomposition method: in the spline interpolation and in the Hilbert transform.
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。
In the course of filtration, interpolation is the essential step to produce the intrinsic mode functions, and the basis of the Hilbert spectral analysis.
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