Results 41 to 50 of about 48,005 (265)

Ergodicity of N -continued fraction expansions

Journal of Number Theory, 2013
The authors of this paper study a special kind of continued fraction expansions, firstly introduced by \textit{E. B. Burger} and his co-authors in the paper [J. Number Theory 128, No. 1, 144--153 (2008; Zbl 1210.11078)]. Applying the map \(T_{N}:[0,1)\rightarrow [0,1)\), defined by \(T_{N}(x)=\frac{N}{x}-\lfloor\frac{N}{x}\rfloor\) with \(x\neq0\) and \
Dajani, K., Kraaikamp, C., van der Wekken, N.   +2 more
openaire   +4 more sources

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

Molecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

On the numerical stability of the branched continued fraction expansion of the ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Математичні Студії
Continued fractions and their generalization, branched continued fractions, are the effective tools used to study special functions. In this aspect, an important problem of continued fractions and branched continued fractions is the study of their ...
M. V. Dmytryshyn, C. Cesarano, O. Kondur, I.-A. Lutsiv   +3 more
doaj   +1 more source

Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function

Mathematics, 2019
In this paper, Thiele−Newton’s blending expansion of a bivariate function is firstly suggested by means of combining Thiele’s continued fraction in one variable with Taylor’s polynomial expansion in another variable.
Shengfeng Li, Yi Dong
doaj   +1 more source

Continued fractions related to a group of linear fractional transformations

Open Mathematics, 2023
There are strong relations between the theory of continued fractions and groups of linear fractional transformations. We consider the group G3,3{G}_{3,3} generated by the linear fractional transformations a=1−1∕za=1-1/z and b=z+2b=z+2.
Demir Bilal
doaj   +1 more source

Colorectal cancer‐derived FGF19 is a metabolically active serum biomarker that exerts enteroendocrine effects on mouse liver

Molecular Oncology, EarlyView.
Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley, Michael W. Rohr, Joseph A. Goode, Sai Preethi Nakkina, Jignesh G. Parikh, Deborah A. Altomare   +5 more
wiley   +1 more source

Lagrange, central norms, and quadratic Diophantine equations

International Journal of Mathematics and Mathematical Sciences, 2005
We consider the Diophantine equation of the form x2−Dy2=c, where c=±1,±2, and provide a generalization of results of Lagrange with elementary proofs using only basic properties of simple continued fractions.
R. A. Mollin
doaj   +1 more source

Equivalent diagrams of fractional order elements [PDF]

Archives of Control Sciences
This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: s α L α and 1/s α C α, (0 α 1) were obtained using the Laplace transform based on the ...
Sebastian Różowicz, Maciej Włodarczyk, Andrzej Zawadzki   +2 more
doaj   +1 more source

Genetic attenuation of ALDH1A1 increases metastatic potential and aggressiveness in colorectal cancer

Molecular Oncology, EarlyView.
Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova, Zuzana Kozovska, Ondrej Pos, Kristina Pavlov, Sachin Gulati, Peter Makovicky, Kristina Jakic, Monika Burikova, Eva Sedlackova, Barbora Svitkova, Silvia Tyciakova, Vojtech Bystry, Nicolas Blavet, Boris Tichy, Matej Hrnciar, Jaroslav Budis, Miroslav Tomas, Peter Dubovan, Georgina Kolnikova, Veronika Repaska, Nikoleta Mojzesova, Eva Zomborska, Daniel Pindak, Michal Mego, Tomas Szemes, Miroslava Matuskova   +25 more
wiley   +1 more source

A reversible random sequence arising in the metric theory of the continued fraction expansion

Journal of Numerical Analysis and Approximation Theory, 1997
Not available.
Marius Iosifescu
doaj   +2 more sources