Results 51 to 60 of about 5,130,669 (296)

$3$-dimensional Continued Fraction Algorithms Cheat Sheets [PDF]

, 2015
Multidimensional Continued Fraction Algorithms are generalizations of the Euclid algorithm and find iteratively the gcd of two or more numbers. They are defined as linear applications on some subcone of $\mathbb{R}^d$.
Labbé, Sébastien
core  

Survival for Children Diagnosed With Wilms Tumour (2012–2022) Registered in the UK and Ireland Improving Population Outcomes for Renal Tumours of Childhood (IMPORT) Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The Improving Population Outcomes for Renal Tumours of childhood (IMPORT) is a prospective clinical observational study capturing detailed demographic and outcome data on children and young people diagnosed with renal tumours in the United Kingdom and the Republic of Ireland.
Naomi Ssenyonga, Angela Lopez‐Cortes, Reem Al‐Saadi, Suzanne Tugnait, Kristina Dzhuma, Catriona Duncan, Gordan Vujanic, Tanzina Chowdhury, Claudia Allemani, Michel P. Coleman, Kathy Pritchard‐Jones, the Children's Cancer and Leukaemia Group (CCLG) Renal Tumour Special Interest Group, Hugh Bishop, Anthony McCarthy, Pamela Kearns, Helen Rees, Amos Burke, Meriel Jenney, Jane Pears, Hamish Wallace, Milind Ronghe, Tanzina Chowdhury, Susan Picton, Emma Ross, Lisa Howell, Bernadette Brennan, Gail Halliday, Richard Grundy, Shaun Wilson, Sucheta Vaidya, Daniel Yeomanson, Jessica Bate, Vesna Pavasovic, Jessica Bate, Sabine Irtan, Jesper Brok, Minou Oostveen, Kristina Dzhuma, Mark Weeks, Richard Williams, Mark Powis, Max Pachl, Bruce Okoye, Naima Smeulders, Gordan Vujanic, Oystein Olsen, Tom Watson, Susan Shelmerdine, Dan Saunders, Angela Lopez-Cortes, Taryn Treger, Tom Jackson, Suzanne Tugnait, Lisa Howell, Tanzina Chowdhury, Sam Behjati, Angela Polanco   +56 more
wiley   +1 more source

On small vibrations of a damped Stieltjes string [PDF]

Opuscula Mathematica, 2015
Inverse problem of recovering masses, coefficients of damping and lengths of the intervals between the masses using two spectra of boundary value problems and the total length of the Stieltjes string (an elastic thread bearing point masses) is considered.
Olga Boyko, Vyacheslav Pivovarchik
doaj   +1 more source

Lifestyle Behaviors and Cardiotoxic Treatment Risks in Adult Childhood Cancer Survivors

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Higher doses of anthracyclines and heart‐relevant radiotherapy increase cardiovascular disease (CVD) risk. This study assessed CVD and CVD risk factors among adult childhood cancer survivors (CCSs) across cardiotoxic treatment risk groups and examined associations between lifestyle behaviors and treatment risks.
Ruijie Li, Raquel Revuelta Iniesta, Alan R. Barker, Dimitris Vlachopoulos, Tomáš Sláma, Christina Schindera, Fabiën N. Belle   +6 more
wiley   +1 more source

Some lacunarity properties of partial quotients of real numbers

Comptes Rendus. Mathématique
We consider lacunarity properties of sequence of partial quotients for real numbers in their continued fraction expansions. Hausdorff dimension of the sets of points with different lacunarity conditions on their partial quotients are calculated.
Zhao, Xuan, Zhang, Zhenliang
doaj   +1 more source

On convergence of branched continued fraction expansions of Horn's hypergeometric function $H_3$ ratios

Karpatsʹkì Matematičnì Publìkacìï, 2021
The paper deals with the problem of convergence of the branched continued fractions with two branches of branching which are used to approximate the ratios of Horn's hypergeometric function $H_3(a,b;c;{\bf z})$. The case of real parameters $c\geq a\geq 0,
T.M. Antonova
doaj   +1 more source

Continued fraction digit averages an Maclaurin's inequalities [PDF]

, 2014
A classical result of Khinchin says that for almost all real numbers $\alpha$, the geometric mean of the first $n$ digits $a_i(\alpha)$ in the continued fraction expansion of $\alpha$ converges to a number $K = 2.6854520\ldots$ (Khinchin's constant) as ...
Cellarosi, Francesco, Hensley, Doug, Miller, Steven J., Wellens, Jake L.   +3 more
core   +1 more source

Cerebrospinal Fluid Liquid Biopsy Enables Targeted Therapy Without Tissue Diagnosis in Pediatric Low‐Grade Gliomas With BRAF V600E Mutation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT We present two pediatric cases of pediatric low‐grade gliomas (PLGG) with BRAF V600E mutations diagnosed and monitored using cerebrospinal fluid (CSF) liquid biopsy analyzed via digital droplet PCR (ddPCR), without tissue biopsy. Both patients were treated with dabrafenib and trametinib and monitored through clinical assessments, magnetic ...
Hannah Sultan, Damien Faury, Alexander G. Weil, Harrison J. Westwick, Nada Jabado, Sébastien Perreault   +5 more
wiley   +1 more source

Tasoev's continued fractions and Rogers–Ramanujan continued fractions

Journal of Number Theory, 2004
The author of this paper discusses Tasoev's continued fractions, which are of the form \[ [0;\underbrace{a,\dots,a}_m,\underbrace{a^2,\dots,a^2}_m, \dots]\equiv[0;\underbrace{\overline{a^k,\dots,a^k}}_m]_{k=1}^\infty,\;(m\geq1), \] and for a modified form he proves that \[ [0;\overline{ua^{2k-1}-1,1,va^{2k}-1}]_{k=1}^\infty=\frac{\sum_{s=0}^\infty u ...
openaire   +1 more source

Discrete integrable systems, positivity, and continued fraction rearrangements

, 2010
In this review article, we present a unified approach to solving discrete, integrable, possibly non-commutative, dynamical systems, including the $Q$- and $T$-systems based on $A_r$.
A. Berenstein, A. Henriquès, A. Kuniba, A.N. Kirillov, B. Lindström, C. Dodgson, D. Speyer, H. Nakajima, I. Gelfand, I. Gelfand, I.M. Gessel, P. Caldero, P. Di Francesco, P. Di Francesco, P. Di Francesco, P. Di Francesco, Philippe Di Francesco, S. Fomin, S. Fomin, S. Fomin   +19 more
core   +1 more source