Results 41 to 50 of about 74,852 (243)

The impact of Stieltjes' work on continued fractions and orthogonal polynomials

, 1993
Stieltjes' work on continued fractions and the orthogonal polynomials related to continued fraction expansions is summarized and an attempt is made to describe the influence of Stieltjes' ideas and work in research done after his death, with an emphasis ...
A Pringsheim, A Pringsheim, A Seiberg, AA Gonchar, AA Markov, AA Markov, AA Markov, AM Al-Rashed, AS Kronrod, AS Kronrod, B Baillaud, C Berg, C Brezinski, C Hermite, CL Siegel, D Hubert, D Hubert, D Hubert, DS Lubinsky, DV Chudnovsky, DV Chudnovsky, E Cosserat, E Hendriksen, EB Christoffel, EB Vleck Van, EB Vleck Van, EB Vleck Van, F Hausdorff, F Peherstorfer, FWJ Olver, G Darboux, G Darboux, G Freud, G Gasper, G Monegato, G Polya, G Szegö, G Szegö, G Szegő, G Vitali, G Vitali, GH Hardy, GH Hardy, H Bruns, H Hamburger, H Hamburger, H Hamburger, H Padé, H Padé, H Stahl, H Widom, H Widom, H Zaheer, HN Mhaskar, HS Wall, J Favard, JA Shohat, JA Shohat, JL Ullman, K Aomoto, K Possé, K Possé, L Carlitz, L Lorch, L Lorentzen, L Schur, LJ Rogers, LJ Rogers, M Alam, M Fekete, M Prévost, M Riesz, M Tsuji, MEH Ismail, MEH Ismail, MG Krein, MG Krein, MH Stone, ML Mehta, NI Akhiezer, NY Vilenkin, O Njåstad, O Perron, O Perron, P Erdős, P Montel, PG Nevai, PJ Forrester, PL Chebyshev, PL Pastro, R Askey, RA Gustafson, S Karlin, S Karlin, S Karlin, T Carleman, T Carleman, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TS Chihara, TS Chihara, TS Chihara, W Assche Van, W Gautschi, W Gautschi, W Gautschi, W Hahn, W Ledermann, WB Jones, WB Jones, WB Jones, YL Geronimus   +121 more
core   +2 more sources

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

On Fibonacci Knots [PDF]

, 2009
We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce that, when $ n \not\equiv 0 \Mod 4$ and $(n,j) \neq (3,3),$ the Fibonacci knot $ \cF_j^{(n)} $ is not a Lissajous knot.Comment: 7p ...
Koseleff, Pierre-Vincent, Pecker, Daniel
core   +2 more sources

Pre‐analytical optimization of cell‐free DNA and extracellular vesicle‐derived DNA for mutation detection in liquid biopsies

Molecular Oncology, EarlyView.
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen, Lucrezia De Santis, Bret M. Stephens, Vincent Bernard, Jörg C. Kalff, Lara Braun, Phillipp Leyendecker, Johannes Röttgen, Daniel Weissinger, Anirban Maitra, Paola A. Guerrero, Alexander Semaan   +11 more
wiley   +1 more source

Periodic representations and rational approximations of square roots

, 2013
In this paper the properties of R\'edei rational functions are used to derive rational approximations for square roots and both Newton and Pad\'e approximations are given as particular cases.
Abrate, Marco, Barbero, Stefano, Cerruti, Umberto, Murru, Nadir   +3 more
core   +1 more source

A generalization of continued fractions

Journal of Number Theory, 2011
Simple continued fractions are expressions of the form \(a_0+{1\over a_1+{\strut 1\over a_2+\cdots }}\), where \(a_i \in \mathbb{Z}\) and \(a_i \geq 1\) for \(i \geq 1\); the expansion may be finite or infinite. In this paper, the authors study what happens when the \(1\)'s in the numerators are replaced by a fixed but arbitrary positive integer \(N\).
Anselm, Maxwell, Weintraub, Steven H.
openaire   +2 more sources

Establishment of a humanized patient‐derived xenograft mouse model of high‐grade serous ovarian cancer for preclinical evaluation of combination immunotherapy

Molecular Oncology, EarlyView.
We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric, Line Bjørge, Martine Rott Lode, Cecilie Fredvik Torkildsen, Pia Aehnlich, Rammah Elnour, Daniela Elena Costea, Lars Andreas Akslen, Liv Cecilie Vestrheim Thomsen, Emmet McCormack, Katrin Kleinmanns   +10 more
wiley   +1 more source

A computer algebra user interface manifesto [PDF]

, 2013
Many computer algebra systems have more than 1000 built-in functions, making expertise difficult. Using mock dialog boxes, this article describes a proposed interactive general-purpose wizard for organizing optional transformations and allowing easy fine
Stoutemyer, David R.
core  

Differential regulation of ZFAS1 splice variants by endoplasmic reticulum stress in hepatocyte cell lines

FEBS Open Bio, EarlyView.
ZFAS1 is a lncRNA promoting cell proliferation and migration, exhibiting high expression in various cancers. It is conserved, widely expressed, and produces multiple splice variants with unclear roles. We identified several splice variants in hepatocyte models, and found that inhibiting or suppressing regulators of the unfolded protein response (PERK ...
Sébastien Soubeyrand, Paulina Lau, Ruth McPherson   +2 more
wiley   +1 more source

Partial Exposure Attacks Against a Family of RSA-like Cryptosystems

Cryptography
An RSA generalization using complex integers was introduced by Elkamchouchi, Elshenawy and Shaban in 2002. This scheme was further extended by Cotan and Teșeleanu to Galois fields of order n≥1. In this generalized framework, the key equation is ed−k(pn−1)
George Teşeleanu
doaj   +1 more source