rational numbers

rational numbers
The set of numbers that can be expressed as a ratio of integers (fraction) /<sub>n</sub>, where n is not zero. In set-builder notation, it is defined as /</sub>n</sub>|m∈ℤ,n∈ℕ.
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  • rational numbers — numbers that can be represented as a quotient of two whole numbers (Mathematics) …   English contemporary dictionary

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  • rational — [rash′ən əl] adj. [ME racional < L rationalis < ratio: see REASON] 1. of, based on, or derived from reasoning [rational powers] 2. able to reason; reasoning; in possession of one s reason or sanity 3. showing reason; not foolish or silly;… …   English World dictionary

  • Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… …   Wikipedia

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  • rational number — noun an integer or a fraction • Syn: ↑rational • Hypernyms: ↑real number, ↑real • Hyponyms: ↑fraction * * * noun : an integer or the quotient of two integers (as 2/3) * …   Useful english dictionary

  • rational — I. adjective Etymology: Middle English racional, from Anglo French racionel, from Latin rationalis, from ration , ratio Date: 14th century 1. a. having reason or understanding b. relating to, based on, or agreeable to reason ; reasonable < a… …   New Collegiate Dictionary

  • rational number — Math. a number that can be expressed exactly by a ratio of two integers. [1900 05] * * * Any number that can be represented as the quotient of two integers (i.e., the denominator cannot equal zero). The set of rational numbers includes all… …   Universalium

  • rational fraction — noun : a fraction of which both numerator and denominator are rational numbers or are polynomials …   Useful english dictionary

  • Rational ignorance — is a term most often found in economics, particularly public choice theory, but also used in other disciplines which study rationality and choice, including philosophy (epistemology) and game theory.Ignorance about an issue is said to be rational …   Wikipedia

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