1. This, the Riemann curvature tensor, quantifies space-time curvature.

2. These lines therefore form boundaries to the space-time in these regions.

3. The gravitational forces are the manifestation of space-time curvature due to the presence of matter.

4. The method for recasting all space-time derivatives so that they are all tensors under general coordinate transformations is described in Chapter 6.

5. Why space-time should be four-dimensional is a question that is normally considered to be outside the realm of physics.

6. Space-time is therefore an extremely stiff medium, and by the same token small-amplitude waves carry large energies.

7. The b -boundary is the projection into a space-time of a natural boundary attached to a higher-dimensional Riemannian manifold.

8. First, there is space-time, playing a primary role as the arena for all the varied activity of physics.

9. It laid the foundations of topology, the differential geometry of manifolds and the theory of space-time and gravitation.

10. Let us try to understand the basics of special relativity in terms of the magnificent space-time of Minkowski.

10. try its best to gather and create good sentences.

11. Equations between tensors have the property that they remain valid under the general transformations between Gaussian coordinate systems in curved space-time.

12. The different components refer to the different curvatures in different directions in the space-time.

13. Perhaps the damage here was only minor, a last tremor before the fabric of space-time mended again.

14. The three space directions and imaginary time would form a space-time that was closed in on itself, without boundaries or edges.

15. An alternative cosmology is the Hartle / Hawking model, which does not assume a background space-time in which the universe arises.

16. In the real time direction, this inevitably leads to singularities, places where space-time comes to an end.

17. We also have to take into account the passage of light rays through the highly curved space-time near the expanding object.

18. This last result can be expressed in a more compact form using the subscript comma notation for space-time derivatives:.

19. He had the revolutionary idea that gravity was not just a force that operated in a fixed background of space-time.

20. At this point the strong equivalence principle supplies a key ingredient to understanding curved space-time.

21. As the first results came in, so too did the first signs of a strange disruption in the space-time continuum.

22. The first component of tE is the journey time in flat space-time; hence the excess time taken is.

23. There is therefore a fundamental link between the curvature of space-time and the existence of classical tidal forces.

24. The family of light cones at all the points may be regarded as part of the Minkowskian geometry of space-time.

25. This provides an analytic extension beyond the Cauchy horizon which is another part of Kerr space-time.

26. Whatever may happen to different orders of reality(), this space-time and its laws will cease to exist.

27. The analysis of Mercury's motion commences with the statement that Mercury follows a geodesic in the Schwarzschild space-time around the Sun.

28. Using subscript comma and subscript semicolon notation a standard space-time derivative is written whilst a covariant derivative is written.

29. The Cambridge professor's brain dances around such sub-atomic particles as leptons and anti-quarks and the possibility of infinitely curved space-time.

30. During the passage of gravitational waves it is the structure of space-time itself which oscillates.

31. Einstein also recognized that the stress-energy tensor provided the appropriate tensor description for the distribution and flow of energy in space-time.

32. Erwin Schrodinger think that EPR correlation originates from conflicts between classical space-time and quantum space-time.

33. The anfractuous characters, plots and space-time structure of "Master and Magaritte" reflect the author's thinking on religious philosophy.

34. Orthogonal transmit diversity(OTD) and space-time spreading(STS) have been included in the 3GPP2 standard, while space-time transmit diversity (STTD) is one part of the 3GPP standard.

35. When I wake, we appear to have passed through a space-time continuum and landed on Mars.

36. The very gravity distortion also effects the space-time continuum in the area, and creates a dimensional aperture field very similar to what occurs in the poles.

37. Producing enough antiprotons to bend the space-time continuum looks near impossible as far as our current technology goes.

38. Might this revision navigate science finally towards a first solution to combine Heisenberg's and Planck's quantum physics with Einstein's space-time continuum?

39. The evolving character of commercial space in Chang'an city was known afresh, according to analysing on the space-time characteristics of the shops in outside market in Tang Dynasty Chang'an.

40. Object-subject-rization:absencented body lead to cyberspace structural complanation and individual's activities with each other shape space-time structure in cyberspace.

40. try its best to gather and build good sentences.

41. I'm guessing if you have a real wormhole, it would have a structure like a sponge, and if you wander off and get stuck in that space-time continuum, then all sorts of strange things would happen.

42. STC technology can divide into: Layered space-time coding (LSTC), space-time trellis code modulation (ST-TCM), Unitary space-time coding (USTC), differential space-time coding (DSTC).

43. Under Sufism influence, islam miniature has had its unique concepts about space-time and color, and in literature sufism poetry has come into being whose representative is Romi, a famous islam poem.

44. A data aided symbol timing estimation algorithm was proposed for burst-mode space-time trellis coded multi-level continuous phase modulation(STTC-MCPM) systems in Rayleigh fading channels.

45. In the other code, the Nodal Green's Function Method was used to solve space-time dependent neutron diffusion equation.

46. Thirdly, we analyzed and compared three types of space-time coding technologies that are space-time block code (STBC), Layered space-time code (LSTC) and space-time trellis code (STTC) respectively.

47. This supports inflation theory and provides further evidence for the mysterious "Dark Energy" that is predicted to permeate through the universe, causing space-time to expand at an accelerated rate.

48. In this project, pulse sensors gathering pulse signals from all-round were used, drawing whole pulse-pulse body space-time complex chart, and it can reflect pulse body, pulse stream and pulse-length.

49. Space-time trellis code combining space diversity with code and modulation, can improve efficiency and reliability of communication system in wireless channel efficiently.

50. Since each subcarrier can be equalized independently, the complexity of space-time equalizers is avoided.

51. A new optimization algorithm of space-time trellis code is presented.

52. The combination of space-time codes and a closed loop transmission diversity technique is an efficient way to improve the performance of wireless communication channels.

53. Did Einstein prove that the reason light bends when it passes the earth is a warp in the space-time continuum?

54. The space-time ripples cause the distance measured by a light beam to change as the gravitational wave passes by, and the amount of light falling on the photodetector to vary.

55. With Roger Penrose I showed that if Einstein's general theory of relativity is correct, there would be a singularity, a point of infinite density and space-time curvature, where time has a beginning.

56. However, Eddington's revised theory requires a minimum length of space-time at early times, which means that the Universe could not have been a singularity.

57. Clare laughs. "If I've violated the space-time continuum it isn't veryobvious."

58. Some businesses have already installed a rip in the space-time continuum in their break-room areas so that employees can report for work in the other dimension as soon as their Earth shifts end.

59. It would be ironic if an instrument built to detect something as vast as astrophysical sources of gravitational waves inadvertently detected the minuscule graininess of space-time.

60. The solutions of scalar field equations in the region between the black hole's event horizon and the cosmological horizon in static and spherically symmetrical space-time are given in this paper.

61. A space-time continuum is simply the three dimensions of space combined with the dimensions of time.

62. V-BLAST (Vertical Bell Laboratories Layerd Space-Time) can be combined with OFDM to achieve high data rate transmission in frequency selective fading channels .

63. When Hogan first realised this, he wondered if any experiment might be able to detect the holographic blurriness of space-time.

64. Transmitting data parallel and using space-time block coding with anti-interference to cancel the effect between the parallel signals can enhance data rate of transmission largely within the channel.

65. Based on the above, the impact of amplitude coefficient ratio on amplitude-phase Double Differential Space-Time Codes is discussed, and an optimal selection scheme in amplitude coefficient is given.

66. Moreover, the pictograph characteristic of Chinese words makes the space-time idea in the mysterious figure be kept maximally.

67. The performance analysis of the transmitted diversity system that adopts space-time code is a hot spot in research cycle.

68. Therefore, I would keep producing the thing called "painting" by those people who were living in the ordered space-time, barbarously and a little like rubbish.

69. ObjectiveThe paper deals with space-time distribution pattern of emodin and chrysophanol content in rhizome, root head, root central, root tip, surplus root in Rumex gmelini.

70. Based on OFDM system, a novel space-frequency-time code which combined trellis-coded modulation with differential space-time block code was proposed.

70. try its best to collect and create good sentences.

71. Theoretical physicists have long believed that quantum effects will cause space-time to convulse wildly on the tiniest scales.

72. The testing device of direct current injection is manufactured and tested in space-time and frequency.

73. The LHC is capable of distorting space and time in its 27-kilometer ring circuit, the largest in the world, and generate a wormhole, a space-time tunnel that leads to another time or space.

74. It's another thing to say that they are Y-shaped space-time worms.

75. The latest outer skin became the critical intermediate of space-time and is the boundary of time inconvertibility and convertibility.

76. By the time the higher elevations are reached, such strange notions as Einsteinian curved space-time and the quantum uncertainty principle, heavy meals indeed, seem not so difficult to digest.

77. Conclusion In light of space-time distribution, the sudden death couldn't be explained by the hypothesis of mushroom poisoning.

78. Space-time maps indeed clearly showed the dispersion of repolarization among neighboring leads, and the distribution of U wave.

79. This paper presents a vision vehicle detection algorithm based on virtual detection line group, which is optimized with space-time domain information.

80. Using tetrad field get spinor field equations of unified gravity and electromagnetic field with space-time torsion.

81. A formula of the relationship between visual length and proper length is derived form Minkowski Space-time figure.

82. If the Enterprise could warp the space-time continuum by expanding the area behind it and contracting the area in front, the crew could avoid going the speed of light.

83. Another girl's hobby is finding folds in the space-time continuum, through which she slips to remedy the world's past injustices.

84. If Hogan's idea is correct, the Holometer should detect this quantum noise in the fabric of space-time, throwing our whole perception of the Universe into a spin.

85. The Planck length is far beyond the reach of any conceivable experiment, so nobody dared dream that the graininess of space-time might be discernable.

86. To combine multilevel code (MLC) with differential space-time modulation (DSTM), a new scheme based on an multilevel low-density parity-check (LDPC) code with iterative decoding is proposed.

87. A new scheme (LDPC-DSTM) combining irregular low-density parity-check (LDPC) code with differential space-time modulation (DSTM) is used for coded modulation (CM).

88. Dark energy creates a repulsive force that counters gravity and is now tearing apart space-time.

89. Compared with the full rank space-time trellis code (FR-STTC) with the same transmission rate, it can provide a better performance and a lower realization complexity.

90. In the presence of closed timelike curves, though, we generally will not be able to slice space-time that way.

91. At the transmitter, vertical-bell laboratory layered space-time (VBLAST) is suitable for multiple modulation and coding scheme (MCS) on different antennas, which can also enhance channel capacity.

92. The spherically symmetric space-time, which is widely studied, is one of the simple and important models in gravitational theory.

93. You can no more change events in your past in a space-time with closed timelike curves than you can change events that already happened in ordinary space-time, with no closed timelike curves.

94. A method that projected 3D space-time signal to 2D space signal to integrate images for detecting dim point moving target from image sequences was suggested.

95. The structure, space-time and emotion of the movie and novel are analyzed through polyphone theory of The Mobile phone so as to make a little rational observation of the joint of movies and novels.

96. The warping associated with the closed timelike curve could cause our slice to twist back on itself, making it impossible to divide all of space-time into distinct moments.

97. Secondly, it uses SPSS12.0 software to carry on quantitative research through factor analyze, and obtains the characteristic of urbanization development in space-time of Dalian city since 1990.

98. "Even if it limits GEO600's sensitivity in some frequency range, it would be a price we would be happy to pay in return for the first detection of the graininess of space-time." he says.

99. "He exploits the space-time continuum," says Larry Silverberg, a professor of mechanical and aerospace engineering at North Carolina State University.

100. Signal shock and precursory earthquake swarm and foreshock activities always accompany the anomalous space-time patterns of seismic'ty.

101. We gave a method of moving object detection based on the detection of the space-time relativity of the pels in a video sequence.

102. In these implicit scenes,[http:///space-time.html] young lovers lean against a bed whilst floating high above the city buildings. Its allegoric tension reminds us Marc Chagall's warm pictures of a space-time paradise.

103. The reconciliation of variety and unity are addressed in reference to the space-time continuum and the unified field of relativity theory.

104. By using backward difference of space-time intensity correlation function with respect to time delay, the two-dimensional velocity vector of a moving diffuser can be measured.

105. We investigate the eigen-subspace approximation (ESA) space-time adaptive processing ( STAP ) method of clutter suppression based on the generalized sidelobe canceler (GSC).

106. Taking into account the generalized uncertainty principle(GUP), we calculate the density of quantum states near the event horizon of a common stationary black hole in pseudo-Riemannian space-time.

107. This paper presents space-time theory of sport, as a means to describe the Relativity said reference and reference of time and space coordinates of the mutual relations exercise.

108. China Art of contemporary era licks its value and fascination into shape just in this kind of variable space-time.

109. In the paper, a varied step length LMS algorithm is adopted in space-time multiuser receiver, in which a new bierror function is used to solve the constrained optimization problem.

110. An intruder of the preexisting which develops through sucking up data from the different experiences given in space-time continuum.

111. The differential detection and coherent detection based on space-time block codes and their comparisons are studied.

112. For differential space-time block code with differential encoding matrix constructed from QAM symbols, a differential detection algorithm which avoids channel power estimation is proposed.

113. Compared with the space-time trellis code (STTC), the Pre-coding STBC has lower complexity without performance deterioration.

114. An efficient nodal method for the numerical solution of space-time kinetics equation in hexagonal-z geometry was proposed.

115. Whole pulse-pulse potential space-time complex chart was drawn to reflect pulse-width, pulse body, pulse stream and pulse-power.

116. The observed lag might result from processes that occur at the most fundamental scale of space-time, the Planck length (10-35 metres).

117. This text establishes a model of space-time block code system at first, and also introduces the theory of maximum likelihood estimate.

118. On this basis, the space-time trellis codes and Decoding Principle and flat fading channel coding guidelines are introduced.

119. Like real history, ticket history cannot be changed (at least not without messing up the space-time continuum), so be aware that any comments you make about a ticket are permanent.

120. However, data models employed by the current temporal geographical information systems are mainly based on space-time Cartesian product and general events modeling theories.

121. The water resource amount in the whole province is calculated, the law of distribution of space-time of the water resource is analyzed, and the environmental quality of water resource is assessed.

122. The main ideal of this dissertation can be expressed as follows:Firstly, the improvement of the trace criteria (TC) for space-time trellis code (STTC) is studied.

123. Space-time coding was proposed by combining space diversity and coding technology to improve the system performance.