1.Indeed, much of it was invented well before quantum theory even existed, notably by German mathematician David Hilbert.
甚至可以说，大部分的数学理论在量子理论建立之前就存在了，尤其是德国数学家大卫·希尔伯特（DavidHilbert）所建立的数学理论。
2.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寓言故事，生动传达了康托理论的奇异之处，当今被称作希尔伯特旅馆。
3.Such interference effects lie at the heart of many quantum phenomena, and find a natural description in Hilbert's mathematics.
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。
4.But rather than working directly with sets of numbers or points, let me follow an approach introduced by Hilbert himself.
不过不是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。
5.Dr. Jules Hilbert: Alright. On a scale of one to ten, what would you consider the likelihood you might be assassinated?
教授：好吧，在从一到十的范围内，你觉得你被暗杀的几率是多少？
6.Focusing on finite dimensional Hilbert spaces, they discuss the statistical distance measures and entropies used in quantum theory.
集中于有限维希尔伯特空间，他们讨论统计距离测量和熵在量子理论内使用。
7.In the audience is one of the greatest mathematicians of all time--David Hilbert.
在观众中有一位伟大的数学家——大卫·希尔伯特。
8.Simultaneously, analytical transformation structured by the Hilbert Transformation is used to counteract the negative-frequency.
利用Hilbert变换构造解析变换，进而滤除信号中的负频率成分；
9.Via HHT (Hilbert Huang Transform), we have made a series of studies on the vibrating frequency of rails after loosening the fasteners.
本研究以希尔伯特-黄转换对扣件松脱后轨道的振动频率作一系列研究。
10.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。