In mathematics, an ideal ring bundle (IRB) is 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).

PropertyValue
dbpprop:abstract
  • In mathematics, an ideal ring bundle (IRB) is 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). 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: 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 2 = 1 + 1 3 = 2 + 1
rdfs:comment
  • In mathematics, an ideal ring bundle (IRB) is 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).
rdfs:label
  • Ideal ring bundle
skos:subject
foaf:page
is dbpprop:redirect of