Results 51 to 60 of about 125,919 (262)
A Theorem on Continued Fractions [PDF]
Proceedings of the Edinburgh Mathematical Society, 1959 One of the outstanding theorems in the theory of continued fractions is the result described by O. Perron, Die Lehre von den Kettenbrüchen (1912, 1929, 1954–7) as the transformation of Bauer and Muir (for brevity I shall call it the BM theorem); this theorem and limiting cases of it give rise to numerous extremely interesting consequences.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background An earlier study on children diagnosed with acute lymphoblastic leukemia (ALL) at Moi Teaching and Referral Hospital (MTRH) in Kenya reported a low event‐free survival (EFS), excess treatment abandonment, and high induction mortality.
Gilbert Olbara +7 more
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Karpatsʹkì Matematičnì Publìkacìï, 2018 The paper deals with research of convergence for one of the generalizations of continued fractions -- branched continued fractions of the special form with two branches.
T.M. Antonova +2 more
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A Geometric Representation of Continued Fractions [PDF]
The American Mathematical Monthly, 2014 Inspired by work of Ford, we describe a geometric representation of real and complex continued fractions by chains of horocycles and horospheres in hyperbolic space. We explore this representation using the isometric action of the group of Moebius transformations on hyperbolic space, and prove a classical theorem on continued fractions.
Alan F. Beardon, Ian Short
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Acute lymphoblastic leukaemia (ALL) is one of the most treatable forms of paediatric cancer; however, there is a substantial burden of treatment‐related toxicities (TRTs). In addition, the long‐term changes in children's health‐related quality of life (HRQoL) due to toxic treatments are not well understood.
Clare Ghows +19 more
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Convergence of composition sequences of bilinear and other transformations {fn},fn→z
International Journal of Mathematics and Mathematical Sciences, 1997 This paper investigates convergence behavior of composition sequences f1∘f2∘…∘fn(z) and fn∘fn−1∘…∘f1(z) where the fn's are bilinear transformations and fn→z. Additional results are provided for the case when the fn's are more general functions.
John Gill
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Some properties of branched continued fractions of special form
Karpatsʹkì Matematičnì Publìkacìï, 2015 The fact that the values of the approximates of the positive definite branched continued fraction of special form are all in a certain circle is established for the certain conditions.
R.I. Dmytryshyn
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Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 The aim of this paper is to give an overview of recent results about tilings, discrete approximations of lines and planes, and Markov partitions for toral automorphisms.The main tool is a generalization of the notion of substitution.
Pierre Arnoux +3 more
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Smarandache Continued Fractions
, 2001 The theory of general continued fractions is developed to the extent required in order to calculate Smarandache continued fractions to a given number of decimal places. Proof is given for the fact that Smarandache general continued fractions built with positive integer Smarandache sequences baving only a finite number of terms equal to 1 is convergent.
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Journal of Approximation Theory, 1999 The matrix continued fraction of a function defined by its power series in \({1\over z}\) with matrix coefficients of dimension \(p\times q\) is presented as a generalisation of \(P\)-fraction. The authors give an algorithm to built the above fraction which corresponds to the extension of the Euler-Jacobi-Perron algorithm.
Sorokin, Vladimir N. +1 more
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