Results 31 to 40 of about 92,586 (253)

Continued Fractions and Generalized Patterns

European Journal of Combinatorics, 2002
In [BS] Babson and Steingrimsson introduced generalized permutation patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permutation. Let $f_{τ;r}(n)$ be the number of $1\mn3\mn2$-avoiding permutations on $n$ letters that contain exactly $r$ occurrences of $τ$, where $τ$ a generalized pattern on $k$ letters.
openaire   +2 more sources

Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables

Fractal and Fractional
The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
doaj   +1 more source

Path generating functions and continued fractions

Journal of Combinatorial Theory, Series A, 1986
From the authors' abstract: ``This paper extends \textit{P. Flajolet}'s [Discrete Math. 32, 125--161 (1980; Zbl 0445.05014)] combinatorial theory of continued fractions by obtaining the generating function for paths between horizontal lines, with arbitrary starting and ending point and weights on the steps.
Ian P. Goulden, David M. Jackson 0001
openaire   +1 more source

Efficient computation of addition-subtraction chains using generalized continued Fractions

IACR Cryptology ePrint Archive, 2012
The aim of this paper is to present a new way of computing short addition-subtraction chains using the generalized continued fractions where subtraction is allowed. We will recover the most used ways of getting addition-subtraction chains. This method is
A. Tall, Ali Yassin Sanghare
semanticscholar   +1 more source

The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions [PDF]

Discrete and Continuous Dynamical Systems. Series A, 2018
We consider the family of CIFSs of generalized complex continued fractions with a complex parameter space. This is a new interesting example to which we can apply a general theory of infinite CIFSs and analytic families of infinite CIFSs.
K. Inui, Hikaru Okada, Hiroki Sumi
semanticscholar   +1 more source

A Generalization of the Simple Continued Fraction Algorithm [PDF]

Mathematics of Computation, 1978
In this paper we present a generalization of the continued fraction algorithm, based on a geometric and matrix-theoretic approach. We first give a geometric representation in the plane
openaire   +1 more source

Linear extensions and continued fractions [PDF]

European journal of combinatorics (Print)
We introduce several new constructions of finite posets with the number of linear extensions given by generalized continued fractions. We apply our results to the problem of the minimum number of elements needed for a poset with a given number of linear ...
Swee Hong Chan, Igor Pak
semanticscholar   +1 more source

Are Fertility Preservation Procedures Before Gonadotoxic Therapy and Hematopoietic Stem Cell Transplantation Feasible and Safe in Very Young Children? A Retrospective Cohort Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian, Yannick Braun, Till‐Martin Theilen, Anke Barnbrock, Theresa Rohm, Fabienne Hammant, Nicole Sänger, Aynura Abbasova‐Semiz, Jan‐Henning Klusmann, Thomas Klingebiel, Udo Rolle, Peter Bader, Henning C. Fiegel, Andrea Jarisch   +13 more
wiley   +1 more source

Feasibility and Safety of Somato‐Cognitive Coordination Therapy for Cerebellar Ataxia Following Pediatric Brain Tumor Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cerebellar ataxia after pediatric brain tumor treatment can cause persistent gait, balance, and speech impairment, yet no established rehabilitation strategy exists. Somato‐cognitive coordination therapy (SCCT) is a virtual reality–guided intervention designed to promote sensorimotor integration through visually constrained reaching
Masanobu Takeuchi, Takashi Matsuzawa, Jun Yamanishi, Masahiro Yoshitomi, Junji Ikeda, Shin‐Ichi Tsujimoto, Yasuteru Yamaguchi, Norio Shiba, Dhroov Pathare, Ayumi Kato, Masahiko Hara   +10 more
wiley   +1 more source

On Analytical Extension of Generalized Hypergeometric Function ₃F₂

Axioms
The paper considers the generalized hypergeometric function F23, which is important in various fields of mathematics, physics, and economics. The method is used, according to which the domains of the analytical continuation of the special functions are ...
Roman Dmytryshyn, Volodymyra Oleksyn
doaj   +1 more source