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nested intervals

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  • Nested intervals — In mathematics, a sequence of nested intervals is understood as a collection of sets of real numbers In such that each set In is an interval of the real line, for n = 1, 2, 3, ... , and that further In + 1 is a subset of In …   Wikipedia

  • nested — /nes tid/, adj. Math. (of an ordered collection of sets or intervals) having the property that each set is contained in the preceding set and the length or diameter of the sets approaches zero as the number of sets tends to infinity. [1720 30;… …   Universalium

  • 0.999... — In mathematics, the repeating decimal 0.999... (which may also be written as 0.9, , 0.(9), or as 0. followed by any number of 9s in the repeating decimal) denotes a real number that can be shown to be the number one. In other words, the symbols 0 …   Wikipedia

  • Completeness of the real numbers — Intuitively, completeness implies that there are not any “gaps” (in Dedekind s terminology) or “missing points” in the real number line. This contrasts with the rational numbers, whose corresponding number line has a “gap” at each irrational… …   Wikipedia

  • List of mathematics articles (N) — NOTOC N N body problem N category N category number N connected space N dimensional sequential move puzzles N dimensional space N huge cardinal N jet N Mahlo cardinal N monoid N player game N set N skeleton N sphere N! conjecture Nabla symbol… …   Wikipedia

  • geologic time — the succession of eras, periods, and epochs as considered in historical geology. [1860 65] * * * Interval of time occupied by the Earth s geologic history, extending from с 3. 9 billion years ago (corresponding to the age of the oldest known… …   Universalium

  • Cardinal number — This article describes cardinal numbers in mathematics. For cardinals in linguistics, see Names of numbers in English. In mathematics, cardinal numbers, or cardinals for short, are generalized numbers used to measure the cardinality (size) of… …   Wikipedia

  • Van der Pauw method — The van der Pauw Method is a commonly used technique to measure the sheet resistance of a material. The Van der Pauw method is often used to measure the Hall effect, which characterises a sample of semiconductor material and can be successfully… …   Wikipedia

  • Bisection method — A few steps of the bisection method applied over the starting range [a1;b1]. The bigger red dot is the root of the function. The bisection method in mathematics is a root finding method which repeatedly bisects an interval and then selects a… …   Wikipedia

  • Least-upper-bound property — In mathematics, the least upper bound property is a fundamental property of the real numbers and certain other ordered sets. The property states that any non empty set of real numbers that has an upper bound necessarily has a least upper bound… …   Wikipedia

  • 0,9 periódico — En matemáticas, 0,999... es el número decimal periódico que se demuestra denota[1] al número 1. En otras palabras, los símbolos 0,999... y 1 son dos representaciones distintas del mismo número real. Las demostraciones matemáticas de esta igualdad …   Wikipedia Español

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