Results 51 to 60 of about 5,765 (234)

CFD modeling and sensitivity‐guided design of silicon filament CVD reactors

AIChE Journal, EarlyView.
Abstract Filament‐based chemical vapor deposition (CVD) for silicon (Si) coatings is often treated as an adaptation of planar deposition. But this overlooks fundamental shifts in transport phenomena and reaction kinetics. In filament CVD, the filament acts as a substrate, heat source, and flow disruptor simultaneously. In this work, we ask: What really
G. P. Gakis, G. Loachamín‐Suntaxi, I. G. Aviziotis, E. D. Koronaki, P. P. Filippatos, G. Chatzigiannakis, S. P. A. Bordas, D. Davazoglou, A. G. Boudouvis   +8 more
wiley   +1 more source

Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality

Mathematics
In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
doaj   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source

Novel Results on Legendre Polynomials in the Sense of a Generalized Fractional Derivative

Mathematical and Computational Applications
In this article, new results are investigated in the context of the recently introduced Abu-Shady–Kaabar fractional derivative. First, we solve the generalized Legendre fractional differential equation.
Francisco Martínez, Mohammed K. A. Kaabar, Inmaculada Martínez   +2 more
doaj   +1 more source

On the Fractional Order Rodrigues Formula for the Shifted Legendre-Type Matrix Polynomials

Mathematics, 2020
The generalization of Rodrigues’ formula for orthogonal matrix polynomials has attracted the attention of many researchers. This generalization provides new integral and differential representations in addition to new mathematical results that are ...
Mohra Zayed, Mahmoud Abul-Ez, Mohamed Abdalla, Nasser Saad   +3 more
doaj   +1 more source

Nonlinear permuted Granger causality

Canadian Journal of Statistics, EarlyView.
Abstract Granger causality is an established, contentious method that seeks causal temporal connections via association and precedence. While not true causal inference, it assists in mapping networks of information flow that may warrant further study.
Noah D. Gade, Jordan Rodu
wiley   +1 more source

On Legendre numbers

International Journal of Mathematics and Mathematical Sciences, 1985
The Legendre numbers, an infinite set of rational numbers are defined from the associated Legendre functions and several elementary properties are presented. A general formula for the Legendre numbers is given. Applications include summing certain series
Paul W. Haggard
doaj   +1 more source

Solvation Structure and Dynamics of the Thiocyanate Anion in mixed N,N‐Dimethylformamide‐Water Solvents: A Molecular Dynamics Approach

ChemPhysChem, Volume 26, Issue 6, March 15, 2025.
The solvation structure and dynamics of the SCN− anion in mixed N, N‐Dimethylformamide (DMF)‐water liquid solvents is investigated using classical molecular dynamics simulations. A preferential solvation of SCN− by the water molecules is observed in the first hydration shell, followed by a second shell consisting by both DMF and water molecules.
Ioannis Skarmoutsos, Ilias G. Karvounis
wiley   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

Deep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source

Macroecological relationships of ant diversity with increasing aridity in Australian tropical savannas: contrasting responses of epigaeic and hypogaeic assemblages

Ecography, EarlyView.
Studies using climatic gradients play a key role in our understanding of the importance of rainfall and temperature as factors regulating species diversity and distribution, and thus of likely responses to climate change. However, such studies currently consider above‐ground species only, ignoring the diverse hypogaeic (subterranean) invertebrate fauna.
François Brassard, Giovanny Destour, Tristan Klaftenberger, Alan N. Andersen   +3 more
wiley   +1 more source