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Titlebook: Metrical Theory of Continued Fractions; Marius Iosifescu,Cor Kraaikamp Book 2002 Springer Science+Business Media B.V. 2002 Ergodic theory.

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Mathematics and Its Applicationshttp://image.papertrans.cn/m/image/632474.jpg
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978-90-481-6130-0Springer Science+Business Media B.V. 2002
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Basic properties of the continued fraction expansion,In this chapter the (regular) continued fraction expansion is introduced and notation fixed. Some basic properties to be used in subsequent chapters are also derived.
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Book 2002) = integer part of 1/w, w E 0, are called the (regular continued fraction) digits of w. Writing . for arbitrary indeterminates Xi, 1 :::; i :::; n, we have w = lim [al(w),··· , an(w)], w E 0, n--->oo thus explaining the name of T. The above equation will be also written as w = lim [al(w), a2(w),···
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where al(w) = integer part of 1/w, w E 0, are called the (regular continued fraction) digits of w. Writing . for arbitrary indeterminates Xi, 1 :::; i :::; n, we have w = lim [al(w),··· , an(w)], w E 0, n--->oo thus explaining the name of T. The above equation will be also written as w = lim [al(w), a2(w),···978-90-481-6130-0978-94-015-9940-5
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