1. The Earth's path round the sun is elliptic.

2. No one knew exactly what inspired her elliptic comments, and her relations had long since given up trying to interpret them.

3. Locally linear pseudo free group actions on elliptic surfaces.

4. Drupe is wide elliptic, violet black.

5. We mainly consider nonlinear elliptic boundary value problem ( BVP ) in this thesis.

6. A semilinear elliptic equation with singular and subcritical exponent is studied.

7. This kind of elliptic curve can be used for various situations where composite order groups are needed.

8. This paper concerns with a class of degenerate elliptic system in diver divergence form.

9. Basal leaf blade oblong or elliptic, truncate or cuneate at base.

10. Foliaceous opposite, egg form comes egg shape is elliptic, whole reason or have small toothed.

11. A semi elliptic and flaky brachium part with a pin hole is welded on the connecting position between the rod-shaped folding arm and the hanging bar.

12. First attempts to apply elliptic equation of curved surfaces to generating C-type cascade grids.

13. Elliptic Curve Cryptosystem(ECC) is a kind of public-key cryptosystem based on algebraic curve.

14. Petiole 4-6 mm; leaf blade elliptic to oblong-elliptic, base cuneate to broadly cuneate, apex obtuse to subrounded and with a retuse tip.

15. The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper.

16. Elliptic curve cryptography ( ECC ) is an important subject in the field of public key cryptography.

17. The singularly perturbed elliptic equation boundary value problem with turning point is considered.

18. This paper first presents the reasons why choose prime field as the base field in the implementation of Elliptic Curve Cryptography on smart card.

19. To solve the internodal safety communication problem at ad hoc, a key exchange scheme for mobile ad hoc network in elliptic curve field is proposed.

20. The multigrid method is an efficient numerical iteration algorithm for solving elliptic variational problems.

21. This paper discusses Xia's achievements on the integral problem about quadratic curve, some of which were similar to modern elliptic integral and surpassed the level of Dai-wei-ji.

22. The upper end of the shaped strip board oscillator is connected with the elliptic shaped oscillator.

23. This kind of arbor is 7 meters tall, fructification submits egg form or elliptic, bake the scent after making unusual, fragile be like pignut, feed.

24. Formulas of the displacement of riprap are derived from the elliptic velocity formula.

25. In this paper, we investigate the natural boundary element method for the boundary value problem of harmonic equation in an exterior elliptic infinite sector domain.

26. In this paper we discuss the natural boundary element method for harmonic equation in an exterior elliptic domain.

27. A surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis.

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28. A regularity result of a class of second order divergence form elliptic equation was obtained .

29. With the concavity and integrability of sublinear terms near zero, the symmetry results for a class of sublinear elliptic equations are given by making use of the moving-plane method.

30. Fructification flesh is qualitative globose, blue, the seed is bigger, long elliptic, black.

31. This paper presents some equations of adjoint motion for spacecrafts moving in elliptic orbit of different plane.

32. The colonoscope rack setting auxiliary passage pipe is one double cavity passage pipe with elliptic cross section.

33. The emergence of normal muggle harvest. 52 days Elliptic, appearance beautiful fruit when ripe, fruity surface yellow-white.

34. At first we can get the Lagrangian function from the elliptic equation, then replace differential coefficient by difference and get the discrete Lagrangian function.

35. Occasionally, Pluto's highly elliptic orbit passes inside that of Neptune, making Neptune the furthest planet from the sun during these times.

36. Both of their security are based on the intractability of elliptic curve discrete logarithm problem.

37. This system could precisely machine elliptic parts with high speed by the micro-reciprocating feed motion of linear motor and the high speed performance of electrical spindle.

38. In view of the above, the transformation properties of astigmatic elliptic Gaussian beams are analysed overall, the exact formulas of correcting astigmatism and rotary symmetrize transformation.

39. The existence of multiple solutions is obtained for Neumann problem of sublinear elliptic equations by the minimax methods in the critical point theory.

40. To comprehend this sentence pattern perfectly, one should have a clear demarkation among the easily confusing conceptions of imperative sentence, elliptic sentence and so on.

41. A relative motion model, considering the J_2 perturbation and suitable for motion in general elliptic orbit, was used.

42. Elliptic Curve Cryptography (ECC) is a rather complicated algorithm. It is difficult to design an application specific integrated circuit (ASIC) to fully implement ECC.

43. Adaptive mesh method which raises in 80's is a new method to numerical generate grid by solving a boundary value problem of elliptic equation.

44. In fact, the discrete logarithms problem for elliptic curves over finite fields is equivalent to the discrete logarithms problem for real quadratic function fields.

45. An elliptic function wave solution of the molecular crystal model with the dispersion term on a ring is found.

46. The magnetic induction intensity at the center of elliptic current ring is derived based on the Biot-Savart law and elliptic parameter equation intensity.

47. The second-order differential equation including elliptic integral is numerically solved by integral, and the non-linear oscillation of a charged point in a uniformly charged ring is discussed.

48. The operation consume most time is multiplication of a point on the elliptic curve with an integer in the system, which was called multiple point operation.

49. In this paper, We consider a class of degenerate elliptic systems in diagonal form and prove the global boundedness for generalized solutions.

50. Chapter 3 deals with the lumped mass finite element methods and error estimations for fourth order nonstationary elliptic equation.

51. By use of multigrid method, this paper proposes a preconditioned iteration method solving the boundary value problem of elliptic equations, the proof of convergence is given.

52. Elliptic curve public-key cryptosystem(ECC)'s security is based on the intractability of the elliptic curve discrete logarithm problem.

53. The semilinear degenerating elliptic equations is studied. On the condition that the measure of degeneratingpoint set is zero, its existence and uniqueness is proved.

54. It is discussed that the numerical approximation of interface problems for elliptic partial differential equations.

55. Multiplication operation over the finite field is the most crucial part in the elliptic curve cryptosystems.

56. By means of the variational approach, in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.

57. In the second chapter,(http://) we present an additive Schwarz preconditioner for the rotated Q_1 finite element discretization of second order elliptic problem.

58. Chaotic planar libration and its control of a magnetic rigid spacecraft with internal damping in an elliptic orbit near the equatorial plane of the earth are investigated.

59. And it works together with a new hardware chip to get a elliptic curve public-key cryptosystem.

60. A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.

61. These results are all based on elliptic equation and we generalize common situation.

62. The exact solution of the period is got by using the first kind of complete elliptic integral.

63. Use elliptic or rounded rectangle structure and adopt advanced processing technology.

64. The hatching apparatus has circular or elliptic pond with circular path.

65. The method can improve operation speed and reduce operation time effectively over traditional algorithm, and can be used in elliptic curve digital signature algorithm(ECDSA).

66. In chapter two, we prove the existence of nontrivial solutions for the elliptic equation of high order.

67. The basic parameters characteristicconstant and capacidance per unit length are obtained using elliptic integral transform.

68. The existence of weak solutions for a class of elliptic equation systems is studied by using the weakly continuous method which was introduced by professor Ma Tian.

69. The bine is erect, base ministry lignification, foliaceous each other is unripe, wrap around needle form or long elliptic.

70. One elliptic equation is for the electric potential, and three parabolic equations are for the electron concentration, hole concentration and temperature.

71. A high performance elliptic function BPF with SIW resonator was designed.

72. The quasi - elliptic function filter with one transmission zero has the better selectivity than the Chebyshev filter.

73. Since FEM has no such requirement that the grid line are of orthogonality, a sequence of shearing and stretching transformation, both prior to and subsequent to the elliptic mapping is used.

74. More importantly, a biconical antenna with elliptic cross section and a V cone antennas for finite length are studied.

75. Here , another scheme based on elliptic curve discrete logarithm problem ( ECDLP ) was proposed.

76. With the computer simulation, the elliptic section cylinder lenses have been designed and used to collimate the semi-conductor laser beam .

77. Implement a digital signature scheme based on elliptic curve cryptosystem.

78. Elliptic curve cryptosystem is a kind of public-key cryptosystem based on algebra curve.

79. In this paper, the general formulas of probe antenna radiation in an elliptic waveguide are given by means of dyadic Green's function and field transformation methods.

80. The system applies the signature based on the elliptic curve to realize.

81. The numerical simulate result of orthorhombic medium formation and elliptic borehole conditions are presented.

82. PARI is a fast-running C library of symbolic functions for factorization, algebraic number theory, elliptic curves, matrices, and transcendental functions.

83. Vertex boundary layer phenomena of solution of singularly perturbed boundary value problem for a kind of fourth order elliptic equation is studied in this paper.

84. The spores are monolete, bilaterally symmetric, elliptic in polar view, and semiorbicular or reniform in equatorial view.

85. The result indicates that the arithmetic can work availably, comparing with RSA and DSA , the executive time of elliptic curve digital signature arithmetic is reduced greatly.

86. When weather is sunny, sunshine is aspersed on the wall brick of clean beige, asperse on elliptic Tieyi mirror, sweet smell of the home arises spontaneously.

87. Security; Key Management; Threshold Signature; Elliptic Curve Cryptosystem ; Ad Hoc network.

88. The approach of realization of the elliptic function complementary filter has been given.

89. The method of designing special elliptic orbit which was critical inclined, sun synchronous and repeating ground trace was expounded, and the calculation process of this method was summarized.

90. The maximum principles of some functions to solutions of linear elliptic equation are derived and some gradient estimates are obtained.

91. We consider the first boundary value problem of the second order elliptic equation and serendipity rectangular elements.

92. This paper deals with the existence of two positive solutions for critical elliptic equations with a changed sign perturbation and with an auxiliary condition.

93. Chaos and its control in the planar libration of a magnetic rigid spacecraft with internal damping in an elliptic orbit are investigated.

94. In this paper, a class of nonlinear elliptic equation in divergence form are studied and some maximum principles are obtained.

95. The sori are borne on the abaxial surface of the pinnule, arranged in two rows parallel to the midvein, elliptic, and composed of 4-10 round sporangia.

96. The requirement of measuring elliptic pore size exists in lots of areas, such as fine mechanism, optical engineering, biomedical engineering, industrial production etc.

97. Finally, we present the numerical results of a linear elliptic problem and flows around a fixed disk, and the comparison with body-fitted mesh results or experimental data.

98. By means of complex variable method together with conformal mapping, this paper analyzes the elastic problem of a plate with a elliptic hole wtih a straight edge-crack.

99. The younger bacteroid was elliptic and had a similar nucleus region in cell. The normal bacteroid had an intact membrane envelope and PHB granules.

100. Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.

101. Using maximum principle and mountain pass lemma to a class of nonlinear elliptic equations, two different positive solutions are obtained.

102. Existence and multiplicity results for elliptic equation and quasilinear elliptic systems with variational structure have been broadly investigated.

103. However, the nuclei of low, cuboidal follicular cells were getting smaller and elliptic, and they were scarce of organelles.

104. Based on the relationship of Jacobi elliptic functions and trigonometric functions, a new method called the trigonometric function transformations methods to solve nonlinear equations is obtained.

105. In this paper we study the existence of positive global solutions for a semilinear elliptic equation.

106. Petiole green, leaf blade elliptic to oblong, margin sometimes serrate; flowers ca. 5 cm in diam. ; stamens 20–25.

107. The stability allowance of elliptic bearing and three oil wedge under the design parameter and operating condition in middle and light loading area is discussed.

108. The basic parameters including the characteristic impedance, effective dielectric constant and capacidance per unit length are obtained using elliptic integral transform.

109. This paper uses Elliptic Curve Cryptographs Cryptosystem as the public key cryptosystem.

110. Non-cylindrical pin bore designed as elliptic or taper pin bore instead of cylindrical pin bore can effectively reduce its stress convergence and increase its service life.

111. Results After surgeries, all the Iridodialysis were repaired and no new complications related to the operation happened, all the pupils became round or elliptic(), and diplopia symptom disappeared.

112. An experimental investigation was made for the heat exchange and flow resistance characteristics of elliptic tube banks in in line arrangement with air crossing.

113. The algebraic system defined on the points of an elliptic curve can be used to construct various cryptographic schemes.

114. In this paper , some new conclusions about the properties of elliptic paraboloid are introduced.

115. In this paper the directional characteristics of elliptic array antennas is studied and the fact that a linear array and a circular array is the especial cases of an elliptic array was proved.

116. The influence of the elliptic and rectangular boundary on the wigner crystal lattice is analyzed.

117. In the two - body case, the approximate equations of relative motion on elliptic orbits are derived.

118. The new designs utilize over - moded cavities and also exhibit pseudo - elliptic transfer functions.

119. By studying and improving on ECC mainly, this article deals with the design and encryption algorithm implementation of a hybrid cryptosystem based on elliptic curve.

120. To the best of my knowledge, it seems that it is the first time to apply the local discontinuous Galerkin method to the stochastic elliptic equation.

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