On the Transformation of [a, b]_<2m> for an Equation of F-structure (m=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)

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  • On the Transformation of a b 2m for an

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The plan of this paper is as follows. Section 1 has been devoted to explaining the definition of equation of F-structure and the theorem of an equivalence relation on K_n. Section 2 deals with the transformative property of brackets on K_n, where n is even. In §3 the number of classes is investigated as a general illustration of the foregoing theory. Moreover, §3 contains a series of results in connection with the classification of brackets for n=2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32. For example, when n=32 the number of all brackets on K_<32> is 1024. By the equivalence therem the number of classes is 55. Moreover, by the transformative theorem the number of classes is 24.

The plan of this paper is as follows. Section 1 has been devoted to explaining the definition of equation of F-structure and the theorem of an equivalence relation on K_n. Section 2 deals with the transformative property of brackets on K_n, where n is even. In §3 the number of classes is investigated as a general illustration of the foregoing theory. Moreover, §3 contains a series of results in connection with the classification of brackets for n=2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32. For example, when n=32 the number of all brackets on K_<32> is 1024. By the equivalence therem the number of classes is 55. Moreover, by the transformative theorem the number of classes is 24.

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