nested intervals


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nested intervals

[′nes·təd ′in·tər·vəlz]
(mathematics)
A sequence of intervals, each of which is contained in the preceding interval.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
5.1 From the Vertical Line Segment to the Nested Intervals Theorem
After careful analysis, we can find here we use the mathematical method of dynamic approximation, more importantly, which contains nested intervals theorem in mathematical analysis.
Nested intervals theorem: If{[[a.sub.n],[b.sub.n]]} is a nested interval, then there exists a unique real number [xi] [member of][[a.sub.n],[b.sub.n], i.e.,[a.sub.n] [less than or equal to] [xi] [less than or equal to] [b.sub.n], n=1,2, .