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Ideal ring bundle
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Ideal ring bundle or gold ring bundle is a mathematical term which means an n-stage cyclic sequence of semi-measured terms, e.g. integers for which the set of all circular sums enumerates row of natural numbers by fixed times. The circular sum is called a sum of consecutive terms in the n-sequence of any number of terms (from 1 to n − 1). Examples For example, the cyclic sequence (1, 3, 2, 7) is an Ideal Ring Bundle because four (n 4) its terms enumerate of all natural numbers from 1 to n(n − 1) 12 as its starting term, and can be of any number of summing terms by exactly one (R = 1) way: : 1, : 2, : 3, : 4 = 1 + 3, : 5 = 3 + 2, : 6 = 1 + 3 + 2, : 7, : 8 = 7 + 1, : 9 = 2 + 7, : 10 = 2 + 7 + 1, : 11 = 7 + 1 + 3, : 12 = 3 + 2 + 7, : 13 = 1 + 3 + 2 + 7. The cyclic sequence (1, 1, 2, 3) is an ideal ring bundle also, because four (n 4) its terms enumerate all numbers of the natural row from 1 to n(n − 1)/R 6 as its starting term, and can be of any number of summing terms by exactly two (R = 2) ways: : 1, 1 : 2, 2 = 1 + 1 : 3, 3 = 2 + 1 : 4 = 3 + 1, 4 = 1 + 1 + 2 : 5 = 2 + 3, 5 = 3 + 1 + 1 : 6 = 1 + 2 + 3, 6 = 2 + 3 + 1 
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