1. One must think in terms of superpositions of all the different possible locations of all the particles separately!

2. This kind of superposition of states is a general-and important-feature of quantum mechanics, referred to as quantum linear superposition.

3. Superposition is of the essence of waves, which can be added together to reinforce or cancel each other out.

4. However, early on, as he introduced the superposition principle, Dirac would break in half a piece of chalk.

5. Separately according to a damping index linear superposition.

6. The principle of superposition is the basis of the wave theory of light.

7. Display the progress of charge: the use of superposition circuit technology[Sentence dictionary], charging indicator light changes.

8. It is based on the principle of superposition, and the design load is optimized dynamically.

9. Principle of original horizontality , principle of superposition, principle of lateral continuity, principle of crosscutting relationship and unconformity.

10. The Principle of Superposition has found its wide application in physics and many other fields.

11. The theories express the sound fields by a superposition of various resonance reradiation modes and reveal the vibro-acoustic coupling mechanism in viewpoint of vibration.

12. In virtue of superposition principle on potential flow field, on the basis of boundary condition from engineering site, saving-energy diffuser is designed from the above.

13. Based on the superposition principle of small deflections, general stiffness model for multi-axis series machine tool was established as physical constrains for tool posture optimization.

14. The amino-acid sequences were aligned on the basis of structural superpositions.

15. References are given in the text for specific matters such as the glass transition and time-temperature superposition.

16. Using the new concept, It is clear to identify losses of different wheelings without any hypothesis, and these losses satisfy the superposition theorem.

17. The first step of the imaging method is:To velocity scanning, Velocity spectrum produced by using the superposition principle and extracted the stacking velocity.

18. The method of noise source identification and location based on Wave Superposition Method ( WSM ) is proposed.

19. It can be shown that the displacement operator can not affect the quadrature squeezing of amplitude in superposition states but can affect the amplitude-squared squeezing.

20. The interference signal of white-light interferometer with several broadband light sources is the superposition of those only with one broadband light source.

21. From the results of these analyses and by the method of superposition, the approximate formulas for calculating shear strength of steel-reinforced concrete short columns are established.

22. Calculation results show the approach to the calculation of displacement at no mass point by using a general method of superposition of vibration mode is not correct.

23. We obtain the series solution of the potential of a uniformly charged disc and its equipotential surfaces using the superposition theorem.

24. Light scattering matrix of random oriented two spheres system is studied extensively by using the T matrix method and the principle of superposition.

25. And it also got Jacobian matrix by using the speed superposition principle through regarding mobile platform as Generalized Kinematic Pair.

26. In the structure, the(equal) integration area method was used to determine the control switch angle, and the sinusoidal voltage wave was obtained by means of the concatenate superposition.

27. According to the necessity in the simulation of a certain type of Submarine Launched Missile (SLM), applying sea wave spectrum, the mathematical model is built by the linear superposition method.

28. The effects of vaporization under the HVEF are the linear superposition of the vaporizing effects in non-electric field and of the vaporizing effects in only having the electric field.

29. Although we may analyze a continuous beam by several methods, only the method of superposition is practical.

30. The formula for effect coefficient of piles group were solved gradually under different shape of laying-out piles according to principle of additional stress superposition.

31. A detailed demonstration about the provement, the relation with the linear system, the homogeneity property and the additivity property of the superposition theorem is also given.

32. Secondly, we investigate the energy density produced by a state vector which is the superposition of three single electron states in the Dirac field in the four-dimensional Minkowski spacetime.

33. One pin is arranged at the cross superposition part of the linking guide rod and the operating handle. The pin is matched with a pin hole on the operating handle.

34. The traditional linear function should be displaced by nonlinear function because of the breakage of superposition principle.

35. In quantum experiments in the physics lab, the slightest intrusion will destroy a quantum superposition (or state).

36. According to these results some statements of superposition principle in a few textbooks are commented.

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37. The physical essence of principle of superposition is discussed, and its applications in structural chemistry are presented in this paper.

38. The superposition of motional coherent states distributes on a line in phase space, the scheme can prepare the maximum entangled GHZstate for arbitrary multiple trapped ions.

39. The result showed that the stream function of vortex tube was expressed as the superposition of the stream functions of vortex filament within the vortex core.

40. The commutative law holds for superposition without exception, but it does not necessarily for accumulation.

41. The exploration realms of basic superposition basin are flault nose and flault block trap of central fracture and ridgy zone.

42. Rationality of the method is proved in theory of(linear)circuit superposition principle.

43. Suppose the investigated material is linear-elastic, the multi-force effect should satisfy the superposition principle.

44. The genetic type belongs to the polygenetic and compound iron deposit formed by the exhalation sediment, metamorphic reconstruction and magmatic hydrothermal superposition enrichment.

45. Examples are given to illustrate the present method, in which the solutions for arbitrary complex displacement boundary conditions are obtained based on linear superposition.

46. The steady - state harmonic response of stiffened unconstrained damped layer was analyzed using a modal superposition method.

47. As a result, the relationships of the three superposition integral formulas namely the convolution integral, the Duhamel...

48. And then the comprehensive effect of temperature and humidity can be approximately regarded as the linear superposition of independent effect.

49. In comparison with the original explicit superposition theorem, the application of this theorem can be more effective in simplifying the circuit calculation.

50. According to the electric potential of a point charge and the superposition theorem of the field, a series solutions of the potential and the field of a uniformly charged ring are derived.

51. Abstract: A method is set forth to calculate the hydrodynamic pressure influence matrix of elastic dam using series development and linear superposition theorem in this paper.

52. His experiment showed that the quantum superposition allows the energy to explore all possible routes and settle on the most efficient one (DOI: 10.1038/nature05678).

53. A new electric current tracking principle is put forward that the node power is distributed according to the ratio of two conjugated current, which are confirmed by superposition theorem.

54. On the basis of the superposition principle and Laplace transformation, the process of the transient state under different short circuit states of induction machine is analyzed.

55. Fine datum choice: Must conform to the datum superposition principle, chooses the design datum or the assembly datum as far as possible takes the localization datum.

56. A method based on wave superposition approach is proposed for enhancing the spatial resolution of the nearfield acoustic holography.

57. In this paper an on line diagnostic measurement system on the DC superposition method was described.

58. Based on the superposition principle, the mechanically sinusoidal vibration device has been reformed to mechanically non-sinusoidal one.

59. According to the superposition principle, the formula of dimensionless pseudopressure is derived, the new comprehensive interpreting typical curve is developed, and its character is discussed.

60. The paper transforms it into two radial networks with Thevenin's theorem and superposition theorem when there is a meshed network.

61. Based on the principle of superposition of plane waves, the same expressions are derived as those based on Maxwell'e field equations.

62. The linear superposition of the temperature pre-change by the other ones thus will greatly increase the temperature change.

63. It is shown that this approach much more efficient than the conventional one, such as energy method, moment-area method, method of superposition and finite difference method.

64. Displaced superposition states can be derived by acting on the superposition states with displacement operator.

65. A method is set forth to calculate the hydrodynamic pressure influence matrix of elastic dam using series development and linear superposition theorem in this paper.

66. To analyze the performance of this new FSP,[http:///superposition.html] the electric field distribution formula is derived by Gaussian electric flux theorem and the superposition principle.

67. On the basis of the diffusion equation and Green Function, a new model for productivity test of horizontal well after hydraulic fracturing was derived by the superposition principle of potency.

68. Then the eigenvalue problem of free vibration of annular sector plates is transformed into the eigenvalue problem of integral equation by using superposition theorem.

69. The results were that lead could reduce the normal karyokinesis exponent of splitting cells, and prevent cells from spitting, and had superposition controlling effect to concentration and time.

70. The continuous beam can be soled by using singular functions and the method of superposition.

71. In accordance with the characteristics of the distribution systems, this paper proposes a short circuit calculation approach based on the superposition theorem for the distribution networks.

72. Based on the linear superposition technique, a hydrodynamic mathematical model of the SWATH ship motion simulation with controllable fin in longitudinal irregular waves is developed.

73. In this paper, The principle of superposition and the concept of generalized simply supported edge are used to solve the bending of rectangular plates with multiple point supports along four edges.

74. This paper presents a new method with driver transformation for the kinematic analysis of the planar mechanisms in high class, based on the Assur group theory and kinematic superposition principle.

75. Based on principals of interference of acoustic waves and simplified digital delay-line, comb filter effect induced by superposition of reflections from steps is presented.

76. First, the steps of motion simulation of the single and multi rigid bodies and the method of computing resultant forces and moments with superposition principle were stated.

77. The description of the surface displacement of DM is deduced and the limitation in linear superposition of Gauss influence functions is indicated.

78. Regarding on research background of the crossing engineering in Shanghai stadium, the express of frost heave for multi-freeze pipes is derived by the basic principle of superposition method.

79. Based on theorem of equivalency and superposition principle, an equivalent source method (ESM) to solve linear circuits is proposed in this paper.

80. There exist three superposed manners of Jurassic and Cretaceous basins in space. They are titling superposition, superposed preservation and part superposition.

81. The periodic mean superposition method can predict the result through decomposing the hydrological time series into several periodic waves, extrapolating the periodic waves, and linear superposition.

82. A combination of the wave superposition method and the modified spectral representation method is applied to a wind field simulation for whole bridge including the deck and the towers.

83. This paper presents an exact solution for a free rectangular plate on elastic foundation by the method of superposition.

84. By using the concept of generalized simply supported edge together with the method of superposition, we can solve this problem.

85. In comparison with the original method, there is no superposition of the variation of the azimuth error in the present method and the original design of the instrument is not needed to be changed.

86. For example subjacent device can store the drawer that the thing uses, the woodiness mesa after two-phase superposition also can regard as the table is used.

87. In this example we exploited the quantum mechanics principle of superposition.

88. Sampling hole has many small holes to reduce puffball superposition and reduce error of animalcule count.

89. The emergence and reconstruction of Chongqing's literary image and its superposition and distance with the city show the relationship of privity and rejection between men and the city in the wartime.

90. Results From the spectrogram of the implants, the characteristic band of each ingredient appears as linear superposition, neither more nor less.

91. It is considered that the signal intensity of the system resulted from the superposition of signal intensity of NTP radicals and free electrons trapped in the lattice defects.

92. Unlike linear equations, as the failure of the linear superposition principle, we didn't yet give the general solutions of nonlinear systems.

93. Then using the superposition principle of well group, the analytic theory of single drainage hole is spread to multiple drainage holes in the element.

94. A superposition method is proposed for the ultimate capacity of steel reinforced concrete columns. 3-line or 4-line sketch curve mode is proposed.

95. The physical meaning of the phase factors in wave function and the relationship between relative phases of quantum states and superposition principle are discussed.

96. The results showed that the coherent superposition state brings squeezing effect , bunching effect and super - poisson distribution.

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97. Firstly, based on the Euler beam theory and the modal superposition method, the vibration equations of the simple beam and continuous beam under the multiple moving forces are established.

98. On the principle of linear superposition of forces, a model for force analysis concerned with planar mechanism invotving friction is proposed.

99. By means of the principle of superposition, the loading state of composite laminated beam is decomposed into symmetric and anti-symmetric states.

100. Ordinary type rainfall consists of short duration rainfall, long duration rainfall and two kinds of superposition.

101. Then the linear superposition method is used to simulate irregular wave, and is verified by the autocorrelation method of wave spectrum estimation.

102. In this paper, we describe the state equation substitution—superposition method in linear circuit.

103. By the principle of superposition fictitious stress on any individual crack surface in infinity can be resolved and also its value of stress intensity factor in infinity or finite body is obtained.

104. And it is proved up to the hilt mathematically. Comparison and analysis are made for the applications and characteristics of the two theorems, thus perfecting the superposition theorem theoretically.

105. Those methods can be applied to solve the shear lag effect of the continuous box girders with the principle of superposition.

106. It is shown that regional initial rock stress state is controlled by larger faults and that heterogeneity and aeolotropism of initial rock stress field are caused by superposition of action of faults.

107. A quantum computer could perform certain computations much more efficient than its classical counterpart by exploiting the superposition principle and the interferences of quantum mechanics.

108. The superposition principle of states in quantum mechanics formulated by Blokhintsev, Dirac and Landau are introduced and reviewed.

109. Linear superposition is used directly within the fatigue module to calculate the local stress history for a particular location.

110. The principle of time - temperature superposition ( TTS ) which can accelerate creep test of geosynthetics is introduced.

111. Points out the key issues in noise control including the arrangement of sound absorber, noise transmission from machine room and duct and noise superposition.

112. In addition, variations in resistance of S-like and U-like pipes are analyzed and compared. And criteria suitable for linear superposition calculation are also presented.

113. It can take the same form as classical logic gates—the AND and OR gates that are the building blocks of conventional processors—but it must also act on the superposition states unique to qubits.

114. This paper provides a rigorous solution by the method of superposition.

115. Using superposition method, the distribution of magnetic field in a finite steady current solenoid has been calculated.

116. Based on the strain superposition principle, the phenomenon of mean stress reduction in metals plastic processes with vibration is explicated. and the mechanism of volume effect is described.

117. The crystal growth kinetic model for SrSO_4 precipitation process was established according to superposition model and weak interaction model when there was EDTA in the system.

118. This paper describes the characters of independent sources and controlled sources, presents analytical method by which controlled sources can perform independently, and extends superposition theorem.

119. The real dike pattern can be approximately duplicated theoretically by the superposition of two very simple stress fields.

120. Both two-dimensional and three-dimensional analysis is performed to prove the feasibility and the precision of the superposition integral method used in calculating the stress intensity factor.

121. In accordance with superposition theorem and substitution theorem, the symmetric three-phase and asymmetric three-phase arc furnace electric power system is reduced as a one phase system.

122. Then by the principle of superposition and solving two sets of algebraic equations, the interaction between the point force and the point charge was uncoupled.

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