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1, Instead, each Hilbert space dimension corresponds to one of the different independent physical states of a quantum system.

2, Moreover, Hilbert intended that it would be possible to prove that the scheme was free from contradiction.

3, An infinite-dimensional Hilbert space arises even in the simple situation of the location of a single particle.

4, Hilbert would be seventy the following year and Lewis said to his wife that his uncle was beginning to look very frail.

5, Hilbert space Recall that in Chapter 5 the concept of phase space was introduced for the description of a classical system.

6, A single point of Hilbert space now represents the quantum state of an entire system.

7, Hilbert leant towards Lewis when he told him about the will and gave him a pat on the knee.

8, Hilbert and Lewis and Beryl sat in old-fashioned deck chairs with striped canvas seats.

9, Or else it might be that Hilbert had left Adam some small memento or keepsake ... Adam was lying late in bed.

10, Hilbert called the above approach the genetic method.

11, This paper discloses properties of the Hilbert and Zhang - Hartley Transforms in Finite Abe - lian Groups.

12, David Hilbert noted that the mathematical questions are the spirit of mathematics.

13, Dr. Jules Hilbert: Well is it possible at one time that you were made of stone, wood, lye, varied corpse parts? Or, earth made holy by rabbinical elders?

14, Digital arithmetic of Hilbert transform is given in allusion to DRFM adopting single channel sampling.

15, Hilbert and Brouwer have set out to tame it once more.

16, The table he sat at was circular and made of pine or what Hilbert and Adam's father had called deal.

17, We shall need to take a glimpse at the mathematical structure of a Hilbert space.

18, It was a continual source of irritation to Lewis that Adam did not show more respect and deference to Hilbert.

19, The momentum states will also be represented in this same Hilbert space.

20, This paper gives a part of useful conclusions of separable Hilbert space and proves to it.

21, If the life of any 20th century mathematician can be said to be a history of mathematics in his time, it is that of David Hilbert.

22, The problem for a infinite plate with centrical crack is reduced to the Hilbert problem.

23, The friction noise of the wear of metal rubbing pair was closely related to the level of abrasion wear. The envelope spectrum of noise signals of metal rubbing pair was analyzed by Hilbert transform.

24, Seated in an open cockpit of a restored swallow biplane, Capt. Buck Hilbert pilots the vintage 1929 plane over New York Harbor and the Statue of Liberty, right, on June 4,[http://sentencedict.com/hilbert.html] 1976.

25, In the paper, Higher-order Quadrature phase Squeezing of a phase coherent state of a harmonical oscillator in a finite -dimensional Hilbert space is studied.

26, For this group of analytic wavelets, the conclusion that the real part and imaginary part of their transform coefficients also constitute an Hilbert transform pair was perfectly deduced.

27, In chapter three we mainly studied the pseudo - inverse operator and the frame in Hilbert space.

28, We discuss the solution of an operator equation which describes the characterization of eventually normcontinuous semigroups on a Hilbert space.

29, Optimal control for a class of the operator equation in a Hilbert space and with application On the Gontrol of the distributed parameter system.

30, Fundamentals of IF(Intermediate Frequency) bandpass signal sampling and quadrature detection are discussed, especially the coherent mixing LPF method and Hilbert transform frequency-shift method.