منابع مشابه
CMFT-MS 15094 The parabola theorem on continued fractions
Using geometric methods borrowed from the theory of Kleinian groups, we interpret the parabola theorem on continued fractions in terms of sequences of Möbius transformations. This geometric approach allows us to relate the Stern–Stolz series, which features in the parabola theorem, to the dynamics of certain sequences of Möbius transformations acting on three-dimensional hyperbolic space. We al...
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We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary continued logarithms introduced by Borwein et. al., we focus on a new generalization to an arbitrary integer base b. We show that all of our so-called type III continued logarithms converge and all rational numbers have fin...
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To find a person not guilty by reason of insanity in Texas, it must be shown that at the time of the crime the person did not know the difference between right and wrong. This standard, applied in many other states, is a crude measure for something that cries out for subtlety. It is the reason that Andrea Yates was recently found guilty of murder, even though she was clearly, and by all account...
متن کاملContinued Logarithms and Associated Continued Fractions
We investigate some of the connections between continued fractions and continued logarithms. We study the binary continued logarithms as introduced by Bill Gosper and explore two generalizations of the continued logarithm to base b. We show convergence for them using equivalent forms of their corresponding continued fractions. Through numerical experimentation we discover that, for one such for...
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Introduction: Breast milk is the best nutrition for infants. Although feeding mostly begins with breast milk but its continuation is ignored in some cases. In this regard, identification of related factors to breastfeeding is important. Objective: The purpose of this study is to determine related factors to continuing breastfeeding in hospitalized infants. ...
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ژورنال
عنوان ژورنال: The English Historical Review
سال: 1889
ISSN: 0013-8266,1477-4534
DOI: 10.1093/ehr/iv.xvi.738