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31. It may appear that the list structure can handle only linearly sequenced values, but they can also handle "inverted trees" by using shared sublists -- this is not what I'm discussing here.

32. The casting solution dropwise or linearly enters a coagulating bath by oscillation of a pinhead, and forms the polymer small ball or film after coagulating and shaping.

33. Upon termination of the algorithm, the correct weight must be found for a linearly separable multiclass pattern recognition.

34. The empty set is linearly independent, for linearly dependent sets must be nonempty .

35. This pulse broadens and its peak amplitude is delayed linearly as the number of successive air curtains is increased.

36. In the elastic region of the cross-section, the stress distribution varies linearly from the neutral axis to the beginning of the yielded area.

37. The results show that the dispersion relation is linearly proportional to the wave number under long wavelength limit.

38. Linearly varying horizontal and vertical deflection voltages are generated that are proportional to the required changes in the x and y directions to produce the smooth line.

39. Dipole ground penetrating radar (GPR) antennas radiate linearly polarized wave with the predominant polarization direction parallel to the long axis of the antenna.

40. The linearly constrained minimum variance (LCMV) algorithm based on the power inversion array and its iterative formula are deduced in the paper, which avoids the complexities of matrix inversion.

41. The theoretical analysis and experimental results show that this algorithm scales linearly in the total size of maximal tree pattern and works efficiently in practice.

42. Paraspinal muscles and ligaments may play a role in determining the segmental angle as graft settling in patients with lordotic spines or segments is not linearly correlated with angular change.

43. The viscous force caused by fine caly particles and the reduced dispersive force are linearly addible.

44. Using a coordinate transformation matrix, which is formed by these linearly independent mode set[sentencedict .com], the component equations of motion in generalized coordinates are derived.

45. AimTo construct the simple and feasible neural networks for solving a class of linearly constrained convex programming problems.

46. Based on the linearly gearing cone roller and globoid cam mechanism, we design out the sphere-conical roller, which can make point contact with the corresponding globoid cam.

47. Following the maximum likelihood criterion and initial parameters are linearly computed, and final values are obtained through nonlinear minimization based on the maximum likelihood criterion.

48. LVC(Liner Variable Contour) is a new type of work roll contour. Gap crown can linearly vary with strip width by use of the contour and strip shape performance can be adjusted through shifting.

49. Grafting of maleic anhydride (MAH) onto high density polyethylene (HDPE), linearly low density polyethylene (LLDPE) and EPDM performed in melt state through ultrasonic initiation was studied.

50. A novel method is proposed for fault diagnosis of linearly nonreciprocal analog circuits.

51. A quasilinear equation is one in which the highest - order derivative appears linearly.

52. If the function is linearly homogeneous it is possible to derive several propositions of interest.

53. Fatigue load increases linearly with enhanced polymer content. For P. Ussurensis, the slope of S N fatigue curve is influenced by polymer content in wood, and fatigue crack grows along wood fibre.

54. In certain range of normal force the sliding friction approximately linearly increases with the increase of normal force, meanwhile the vibration period of the sliding friction becomes larger.

55. Under the guideline, the output of streamlined seamless liners declines linearly.

56. In view of this, an MD-MTMD modeling strategy is developed through keeping the stiffness and damping constant but remaining the masses linearly distributed.

57. By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional model system of linearly viscoelastic "flexural" shell from three-dimensional equations.

58. The ozone formation rate increased linearly with increasing pulsed peak voltage and discharge frequency.

59. The attenuation factor of longitudinal wave was changing linearly, whereas the attenuation factor of the slow shear wave kept nearly constant with a low frequency on the exploration seismic band.

60. Short radius and long radius of lapillus was linearly correlated.