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Ideal ring bundle
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Ideal ring bundle : ウィキペディア英語版
Ideal ring bundle

Ideal ring bundle (IRB) 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

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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