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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(sentencedict.com), 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.Sentencedict.com

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.