About: Restricted partial quotients

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In mathematics, and more particularly in the analytic theory of regular continued fractions, an infinite regular continued fraction x is said to be restricted, or composed of restricted partial quotients, if the sequence of denominators of its partial quotients is bounded; that is and there is some positive integer M such that all the (integral) partial denominators ai are less than or equal to M.

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  • In mathematics, and more particularly in the analytic theory of regular continued fractions, an infinite regular continued fraction x is said to be restricted, or composed of restricted partial quotients, if the sequence of denominators of its partial quotients is bounded; that is and there is some positive integer M such that all the (integral) partial denominators ai are less than or equal to M. (en)
  • В математике про вещественное число говорят, что оно имеет ограниченные неполные частные если при его разложении в цепную дробь неполные частные не принимают сколь угодно больших значений. (ru)
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  • In mathematics, and more particularly in the analytic theory of regular continued fractions, an infinite regular continued fraction x is said to be restricted, or composed of restricted partial quotients, if the sequence of denominators of its partial quotients is bounded; that is and there is some positive integer M such that all the (integral) partial denominators ai are less than or equal to M. (en)
  • В математике про вещественное число говорят, что оно имеет ограниченные неполные частные если при его разложении в цепную дробь неполные частные не принимают сколь угодно больших значений. (ru)
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  • Restricted partial quotients (en)
  • Ограниченные неполные частные (ru)
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