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61) With a view to eliminating such shortcomings, we have made an attempt to devise a matrix representation of the rule of similitude, by means of the theory of linear algebra.

62) The faithless tutor entertained him with sentimental conversations in place of lectures on algebra and Greek.

63) Students should have some familiarity with commutative algebra and basic topology.

64) Kinematics model of a point on driven lever of spatial CCS mechanism was established mathematically by vector algebra and matrix operations.

65) Considering the data flow description in protocol security testing, mutation analysis is introduced based on constructed type algebra, and a new protocol security testing method is proposed.

66) In this paper, we take probabilistic event structures as our semantic model and provide a metric denotational semantics for probabilistic process algebra.

67) The authors define polynomial Lie subalgebras in the infinite matrix Lie algebra, and discuss some main properties of this kind of subalgebras and its construction. Sentencedict.com

68) Therefore, study several with the vector algebra knowledge the problem is in clear and ordered pattern.

69) Curiously enough, both the Arabic al-jabr and the English word algebra also refer to the surgical treatment of fractures or bone-setting.

70) This proprietary, shareware computer algebra system is named for one of the most famous mathematicians who ever lived: Pierre de Fermat.

71) This research with three experiments provided some empirical evidence of the schematization or generalization of examples producing influence on solving of algebra word problem.

72) Certainly, with integration of rough structure and algebra structure, topology structure, order structure and the other structure, some new vital mathematical branches will be emerged.

73) For example, Clojure has a delightful implementation of sets and operations on sets, as well as some quasi-relational algebra thrown in for good measure.

74) The theory of envelopes and covers takes an important part in theory of rings and modules, homological algebra, representation theory of algebras and so on.

75) Digital Design: Binary System , Boolean Algebra, Logic Gates , Simplification of Boolean Functions , Combinational Logic.

76) Polynomial multiply and divide computing process and the general polynomial algebra multiply and divide the same.

77) We give a new method of DOCEM model-based binding computation for XML algebra system. It also validates the efficiency of the new approach.

78) Conclusion It is feasible to simplified curved surface of second degree and solved some polynomials factor decomposition by the theories of the matrix algebra. This kind of method is workable.

79) Using vector algebra and vector field theory, we calculated the total moment of magnetic force acted on a coil carrying current in uniform magnetic field.

80) For commutative algebra, algebraic geometry, and singularity theory, the SINGULAR computer algebra system provides a large variety of algorithms in the package kernel as well as shared libraries.

81) First of all, a quartic equation is obtained by using the rigid tody displacement matrices and some theories of higher algebra according to given five positions of coupler.

82) The paper also gives some corrections to several theorems and their proofs about the dimension of the modular lattice ih the books" Modern Algebra" by Wu and "Abstract Algebra" by Xu.

83) Based on the iterative solution of linear algebra equations, the parallel computational steps are introduced in this method.

84) The derived relational algebra operators are widely used in the relational database query languages.

85) Ritz algorithm, for numerical linear algebra complete source code, has been tested.

86) The matrix factorization and its modification is one of the most effective techniques in numerical linear algebra.

87) In this article, respectively derive the four-part formulae from geometry, algebra and vector viewpoints and then use it to directly infer formulae of Napier's rule 2 of special spherical triangle.

88) Because fractal dimension can not respond to the orientation of the gray level images, an image orientation angle estimating method is proposed by basic knowledge of vector algebra.

89) This paper contains two parts:1. Algebraic operations of quaternion are defined by utilizing the knowledge in vector algebra and the fundamental properties of algebra of quaternions are derived.

90) This research, basing on the Pan-Boolean Algebra, introduces the following two works: simulation work of the logic controller and design operators of two four-digit numbers in ternary system.