1. Both systems were faced with a combinatorial explosion of partial solutions since the input data matched very many rules or partial descriptions.

2. For children with formal operations, combinatorial reasoning is an instrument for conclusive deduction.

3. This produces a considerable combinatorial explosion, making processing beyond the first level somewhat impractical.

4. This reduces the combinatorial explosion and decreases the potential for spurious overlaps through the co-incidence of alternative word senses.

5. Systematic combinatorial methods are used in their reasoning and in their experimental work.

6. These create a combinatorial explosion of possible genotypes on which natural selection acts.

7. Journal of Combinatorial Theory, Series B.

8. Scheduling is a kind of important combinatorial optimization problem.

9. This is a combinatorial problem in canonical form.

10. The packing problem is a typical combinatorial optimization problem.

11. TSP problem is a combinatorial optimization problem.

12. Combinatorial Theory is exceptionally useful in the real world.

13. Journal of Combinatorial Theory, Series A.

14. Model and analyze computational processes using analytic and combinatorial methods.

15. It seems that the combinatorial strategy is a useful tool for the process study of some chemicals.

16. The best combinatorial parameter value for GA and the optimal scheduling result were defined after completing all experiments and comparing test results.

17. What is required therefore is a method of compressing these definitions so that this combinatorial explosion is reduced.

18. We shall now look at ways of reducing the potential combinatorial explosion of breadth-first search. 9.2.

19. They reduce the average branching factor and hence the potential combinatorial explosion of paths through the graph.

20. This can help provide more domain-specific definitions, and reduce the combinatorial explosion produced by expanding definitions beyond the first level.

21. Solution or solid phase synthesis is welcomed, as are combinatorial approaches to organic synthesis.

22. Two major cognitive contents develop during formal operations: propositional or combinatorial operations and formal operational schemes.

23. However, if this is not the case we may find a combinatorial explosion of word strings.

24. Although Sherman had not used the keyboard, he had certainly made a combinatorial request.

25. The problem of collecting and delivery shunting of non-through wagon flow on the actinoid private line belongs to a kind of the combinatorial optimization problems.

26. The generation-and-test usually implements heuristics or knowledge-based methods to combat combinatorial explosion of group combinations, can't guarantee the quality of the results.

27. Five important themes are interwoven in this course: Mathematical reasoning, combinatorial analysis, discrete structures, applications and modeling, and algorithmic thinking .

28. The table tennis three treasure are variety of the combinatorial techniques; the all-round hitting point and inverse direction techniques, which play important role in the competition.

29. Two kinds of signal processing methods for heterodyne interferometer, phase locked frequency demodulation and combinatorial frequency demodulation are presented in this paper.

30. In this paper, we solve the question of combination number by virture of generating function, so it offers convenience to some question of combinatorial number.

31. I have had to leave out some beautiful and important branches of combinatorial theory.

32. This circuit is of independence and perfectibility, hence can be used to fabricate Deka-Value logic systems and implement any Deka-Value combinatorial logic and temporal logic.

33. A new perfect correlation signal was proposed, which can be called as almost perfect punctured binary sequence pairs. Its properties and combinatorial admissibility conditions were studied.

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

35. A new iterative algorithm is put forward based on Hungarian method of the combinatorial theory and the optimized results are better than ever.

36. Combinatorial theory is widely regarded as the most delightful branch of mathematics.

37. Avilamycin quality have what kind of quality, the existing returns will help to alter or decorate it's molecule by the Combinatorial biosynthesis method, and produce new ramification of Avilamycin .

38. The optimal design of large transformers with combinatorial optimization and with the reactance voltage drop as the constraint is described.

39. The performance function was decomposed into disjoint sets of variables to address the combinatorial explosion challenge caused by configuration variations.

40. Optimal Tax Theory mainly includes the combinatorial theory of optimal commodity tax and optimal income tax, the theory of optimal commodity tax and the theory of optimal income tax.

41. As Norbert Wiener showed in 1952, feedback circuits, in all their combinatorial variety, are the fountainhead of control and self-governance.

42. It is well-known that the optimal storage on sequential access peripheral problems is a fundamental problem in combinatorial optimization problems.

43. The quadratic assignment problem ( QAP ) is one of the great challenges in combinatorial optimization.

44. Sudoku is a popular combinatorial problem in recent five years, while it just begins to study it in China.

45. In this paper, Author using method of combinatorial analysis and mathematical induction have proved several properties of sort a of the sum seguence about Fibonacci number.

46. Traveling salesman problem ( TSP ) a typical NP complete combinatorial optimum problem.

47. Using ant colony algorithm to solve the traveling salesman problem(TSP) is a classic kind of dealing with optimized combinatorial problem.

48. Optimal placement of switch device is a combinatorial optimization problem with reliability cost objective function.

49. However, the increasing number of measurements in practical process will lead to a combinatorial explosion of hypothetical tracks.

50. Transmission network expansion planning is a complicated, nonlinear,[http:///combinatorial.html] large - scale combinatorial optimization problem.

51. In addition, it has been illustrated that job-shop scheduling is usually an NP-hard combinatorial problem and is therefore unlikely to be solvable in polynomial time.

52. The maximum flow problem is a classical combinatorial optimization problem.

53. The first is a dedicated I/O pin feedback to the AND array for combinatorial input.

54. The maximum flow problem is one of the classical combinatorial optimization problems.

55. However, clustering is a difficult and combinatorial problem, and different request in different communities has made the transfer of useful generic concepts and methodologies slow to occur.

56. A new combinatorial dispatching rule, RAN ( FCFS, ODD ), and a heuristic method are designed.

57. Perfect binary sequence pair constitutes a generalization of perfect binary sequence, difference set pair is its corresponding combinatorial configuration.

58. Steiner tree problem is a classical problem in combinatorial optimization, it has been broadly used and deeply developed in many fields.

59. As there are not more than three kinds of function groups in the molecule of solvent due to the industrial cost, a combinatorial explosion will be avoided.

60. The priority assignment problem was formulated as a combinatorial optimization problem which was targeted to achieve maximal fairness, and a solution was also provided.

61. It is shown that URE is superior to least squares estimate, principal components estimate and combinatorial princ- pal components estimate under suitable conditions, and is admissible estimate.

62. In the end, by performing the product form combinatorial innovation design with the example of lights, the paper validates the correctness of the theory and the feasibility of the system.

63. Aim To study some applications of a neural networks in combinatorial optimization.

64. As the industrial cost limits the number of the kinds of function groups in the molecule of the solvent, the combinatorial explosion can be avoided.

65. This D-S decision tree is a new classification method applied to uncertain data and shows good performance and can efficiently avoid combinatorial explosion.

66. Star field identification was treated as combinatorial optimization problem, and parallel genetic algorithm was used to solve it.

67. The purpose of this paper is to investigate some laws and techniques in working on mathematics contest problems by analyzing some cases of combinatorial mathematics which have been generalized.

68. This paper presents some new models of combinatorial logic circuits, which are tope-invariant and suitable to SPICE.

69. It is verified that this method enables scheme solving to be implemented with a better operability, which offers a promising way to solve combinatorial explosion problem in conceptual design.

70. This paper presents the mathematical model and the general algorithms of transforming combinatorial problem into state space search.

71. The coloring problem is always important problem in graph theory. In the discrete mathematics and combinatorial analysis, the coloring problem has a wide range of applications.

72. But none appears to have the combinatorial rule system of human language, in which symbols are permuted into an unlimited set of combinations, each with a determinate meaning.

73. This dissertation investigates two kinds of combinatorial designs, Kirkman packing designs and large sets of group-divisible designs.

74. In order to solve the failure of the structural index reduction algorithms in a few cases, another algorithm which is called combinatorial relaxation algorithm is analyzed and studied.

75. Furthermore, the effect of Combinatorial Nonperiodic Defected Ground Structure (CNPDGS)on the characteristic of the low-pass filter formed by the CNPDGS structure is studied.

76. Simplicity. The combinatorial explosion of versions and architectures should be excluded from the internals of BOINC.

77. The output characteristic of differential inductance sensor is analyzed, and the calibration of sensor using standard combinatorial gauge is put forward.

78. After lots of experiments ACO has exhibited its excellent performance and efficiency in experiments for solving a great lot of combinatorial optimization problems, and now it is used in many areas.

79. Course-timetabling problem, an optimization decision-making problem involving factors such as classes, teachers and classrooms etc, is a typical problem of combinatorial planning.

80. Transmission network expansion planning ( TNEP ) is a complex combinatorial optimization problem.

81. This research focuses on assembly line balancing and manpower allocation problem in automobile manufacturing industry, which is one type of combinatorial problem.

82. In this paper, indicates combinatorial theory combined with chemistry-combinatorial chemistry.

83. In this paper, we solve the question of combination number in portion of an integer number and get some conclusion, so it offers convenience to some question of combinatorial number.

84. A new algorithm is proposed for the stripe code autocalculating based on the combinatorial mathematics.

85. The result of CSS polymorphism is a combinatorial explosion of possibilities.

86. It can easily be modified for any combinatorial problem for which we have no good specialized algorithm.

87. Firstly, with combinatorial evaluation of the product form features, a decision table indexed by Kansei words was generated by the statistical analysis on user's Kansei questionnaire.

88. With constant transformations and innovations, modern Combinatorial Theory of Marketing now has closely connected itself with the changes of markets.

89. The problem of maximizing a submodular set function with multiple constraints is considered, which has important application in combinatorial optimization theory.

90. Lattice paths counting problem is one of important combinatorial enumerative problems.

91. It is given a geometrical proof of an essential combinatorial lemma of Liao.

92. Traveling salesman problem ( TSP ) is a typical NP complete combinatorial optimum problem.

93. However, combinatorial chemistry has matured over the years and has found its place in the armamentarium of drug hunters.

94. The VR optimal scheduling system integrated with visual modeling, combinatorial optimization, process simulation and process monitoring features is built.

95. According to the mapping principle of stereographic projection, the combinatorial relationships of line and plane can be solved by use of mathematic analysis.

96. In order to improve the minimum distance of the self-orthogonal code, a new expurgating method and the combinatorial construction of one-step completely orthogonalizable codes are proposed.

97. Matroid theory is an important part of combinatorial mathematics and discrete mathematics.

98. This approach leads to a combinatorial explosion of connections between the service consumers and providers in an SOA system.

99. This paper tries to consider him as a hard-working explorer with the help of the Character Combinatorial Theory.

100. Spanning trees of graphs and bases of matroids are basic objects in combinatorial theory.

101. This would unleash a far worse combinatorial explosion, with more possible arrangements than all the atoms in the universe.

102. Several combinatorial identities related to the classical combinatorial sequence are given and extend to other special combination number.

103. The arrange of transport time and transport line of vehicle in conventional missile turn plan is a combinatorial optimization problem when the operational plan is drawn up.

104. It's also to cut down on the combinatorial explosion of components required for language interoperability.

105. In the nature of things, GA and NN are selected to solve combinatorial problem, and to seek some balance between speed and precision.

105.

106. Matrix games with strategies of combinatorial nature are considered. The players in the games are teams of agents who do not fully cooperate with one another.

107. The N-Queens problem is a classical combinatorial search problem, and is a tipical searching problem in the artificial intelligence(AI) area.

108. The Chinese Traveling Salesman Problem is very famous one of combinatorial optimization problems.

109. An NCE deficit has recently been identified, and it is hoped that the application of new technologies such as genomics, combinatorial chemistry and high-throughput screening will redress the balance.