Results 51 to 60 of about 1,656,816 (274)

On structure of branched continued fractions

Carpathian Mathematical Publications
The paper provides a survey of various multidimensional generalizations of continued fractions that arose when solving the problem of approximating functions of one or several variables, including some hypergeometric functions. It is shown that all these generalizations can be considered as separate cases of the general concept of a branched continued ...
openaire   +1 more source

The Gut–Heart Axis in Systemic Sclerosis: Evidence From a Large Prospective Early Disease Cohort

Arthritis Care &Research, EarlyView.
Objective Cardiac involvement significantly impacts prognosis in systemic sclerosis (SSc), highlighting the need for early risk stratification. Gastrointestinal (GI) symptoms are common and often manifest early. Emerging data suggest a link between GI and cardiac manifestations, possibly through shared mechanisms like dysautonomia.
Francesca R. Di Ciommo, Ashish P. Balar, Aidan K. Strother, Subhash Kulkarni, Michael Hughes, Brian Skaug, Maureen D. Mayes, Shervin Assassi, Ali Y. Ayla, Zsuzsanna H. McMahan   +9 more
wiley   +1 more source

On some of convergence domains of multidimensional S-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2019
The convergence of multidimensional S-fractions with independent variables is investigated using the multidimensional generalization of the classical Worpitzky's criterion of convergence, the criterion of convergence of the branched continued fractions ...
R.I. Dmytryshyn
doaj   +1 more source

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

Advanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch, Maximilian Holland, Klaus Drechsler, Johannes Schilp   +3 more
wiley   +1 more source

On the convergence of multidimensional S-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2018
In this paper, we investigate the convergence of multidimensional S-fractions with independent variables, which are a multidimensional generalization of S-fractions.
O.S. Bodnar, R.I. Dmytryshyn
doaj   +1 more source

Optimization of the Production of Rubber Compounds Using Mathematical Models

Advanced Engineering Materials, EarlyView.
Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle, Andreas Limper, Ulrich Giese, Carlos Lucke, Mario Beiner, Christoph Gögelein, Lisa Leuchtenberger‐Engel, Christian Hopmann   +7 more
wiley   +1 more source

Truncation Error Bounds for Branched Continued Fraction Expansions of Some Appell’s Hypergeometric Functions F2

This paper considers the problem of approximating some Appell’s hypergeometric functions F2 by their branched continued fraction expansions. Using the formula for the difference of two approximants of a branched continued fraction, we established ...
Roman Dmytryshyn
core   +1 more source

Semantic Modeling in Materials Science and Engineering With Platform MaterialDigital Core Ontology 3.0

Advanced Engineering Materials, EarlyView.
The community‐driven Platform MaterialDigital Core Ontology (PMDco) 3.0 is introduced as a Basic Formal Ontology‐aligned semantic backbone for the processing–structure–properties paradigm in Materials Science and Engineering. Modular engineering, automated releases, and validation workflows are highlighted and key semantic patterns for materials ...
Markus Schilling, Philipp von Hartrott, Jörg Waitelonis, Thomas Hanke, Henk Birkholz, Hossein Beygi Nasrabadi, Khashayar Razghandi, Kamilla Zaripova, Felix Thonagel, Fabian Neuhaus, Martin Glauer, Lars Vogt, Harald Sack, Lutz Mädler, Bernd Bayerlein, Chris Eberl   +15 more
wiley   +1 more source

A priori bounds for truncation error of branched continued fraction expansions of Horn's hypergeometric functions $H_4$ and their ratios

Researches in Mathematics
The paper considers the extension of analytic functions by a special family of functions — branched continued fractions. The truncation error bounds for branched continue fraction expansions of the Horn's hypergeometric functions $H_4$ and their ratios ...
R.I. Dmytryshyn, C. Cesarano, M. Dmytryshyn, I.-A.V. Lutsiv   +3 more
doaj   +1 more source

Biodegradable and Biocompatible Functional Polymers for Biomedical Applications

Advanced Functional Materials, EarlyView.
Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han, Shuvra Mondal, Sungkeun Han, Chan‐Hwi Eom, Venkata Ramesh Naganaboina, Suk‐Won Hwang   +5 more
wiley   +1 more source