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31. Since the coefficient of the new polynomial is too complicate to calculate directly, we introduce a linear operator and study the algebraic properties of it.

32. The existence of congruence relation between them was proved by constructing the corresponding algebraic system respectively.

33. Moreover, multivariate splines also have certain relations with pure mathematics, such as, abstract algebra, algebraic geometry combinatorics and so forth.

34. This paper analyzes the general protection mechanisms for ASON and provides for each of them an algebraic formula for the availability analysis.

35. This unconstrained optimization problem may be transformed into nonlinear algebraic system of equations.

36. Ritt-Wu's method of characteristic sets is an effective method to solve algebraic equations by computer, while one cannot get the multiplicity of an isolated solution by this method so far.

37. In the past, there were many methods or handling the acidity such as algebraic method and logarithmic graph method.

38. The conditions of one family of planar quintic polynomial differential system which(possesses) a quintic algebraic invariant curve are presented.

39. A conjugate gradient iterative procedure was used to solve the algebraic problems arising from those two approximate schemes.

40. This paper discusses algebraic specification technology and its automatic transformation into PROLOG.

41. A new algebraic method of balancing redox reaction formulas is introduced.

42. I still can not perform the calculation in this algebraic expression.

43. The research for the means has a long history, the classical means include algebraic mean, geometric mean and harmonic mean etc.

44. It'shows the effectiveness and practicability of the approach to prove algebraic identities with combinatorial analysis.

45. Potentials may be summed by the law of algebraic addition.

46. The integral group rings of finite abelian groups are of great importance in algebraic k - theory.

47. This paper intends to expound some important definitions and conclusions in real variable function by using algebraic operation, thus making a new approach to the use of computers in this field.

48. In this paper, the theory of constructing PES of polyatomic molecules by dynamic Lie algebraic method is presented, and its application in different molecular systems is introduced.

49. An algebraic method is proposed for the forward displacement analysis of the dodecahedral variable geometry truss manipulators.

50. An algebraic expression is one or more algebraic terms in a phrase.

51. To find this angle,[sentencedict.com] we first work out general algebraic expression for the range.

52. Character 2:The algebraic sum of the moments of the forces of a couple about any point in its plane of action is independent of the location of that point and is equal to the moment of the couple.

53. Especially, this method offers an efficient parallel algorithm for solving tridiagonal linear systems of algebraic equations on multiprocessors (MIMD).

54. It is the purpose of this paper to investigate the torsion theory for this algebraic system of much more extensive and to give it some characterizations makeing use of the method of lattice theory.

55. Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.

56. As a consequence of the above result , we have that implicative semilattices form an algebraic variety.

57. The system with unknown input is translated into an equivalent system without unknown input by a simple algebraic transformation.

58. And first to derive the transformation matrix D by using "Linear algebraic method". And then obtain an incidence submatrix A.

59. This paper , firstly introduces the elliptic curve in finite field and algebraic law of its point group, gives the order of the group.

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