Results 51 to 60 of about 165 (147)

An integral containing a Bessel Function and a Modified Bessel Function of the First Kind

, 2017
Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
openaire   +2 more sources

Machine Learning‐Assisted Design and Performance Prediction of a Compact Dual‐Band Polarization‐Insensitive THz Metamaterial Absorber for Skin‐Cancer‐Related Refractive‐Index Sensing

Advanced Electronic Materials, EarlyView.
A compact QASRR‐based THz metamaterial absorber enables polarization‐insensitive dual‐band absorption and skin‐cancer‐related refractive‐index sensing through measurable resonance shifts. Field, surface‐current, and circuit analyses clarify the dual‐resonance mechanism, while StackNet‐assisted prediction accurately estimates the simulated absorption ...
Md. Murad Kabir Nipun, S. M. Rifatur Rana, Md. Golam Morshed, Imrose Jahan, F. A. Sabbir Ahamed, Md. Jahedul Islam   +5 more
wiley   +1 more source

Inequalities involving modified Bessel functions of the first kind

Journal of Mathematical Analysis and Applications, 1992
The author proves some inequalities for modified Bessel functions of the first kind which are related to a log-convexity property of the hypergeometric function \(F_{0,1}(1+\mu;x^ 2/4)\) (\(\mu>-1/2\)).
openaire   +1 more source

Designing Wire Mazes for Replicating Natural Echoes to Study Bat Biosonar Function

Advanced Intelligent Systems, EarlyView.
A validated framework combining efficient physical modeling (multiple scattering model) and deep learning is presented to guide wire‐maze design for bat biosonar studies. This approach rapidly generates large datasets to test acoustic distinguishability among wire arrangements.
Chunlin Jia, Gengkai Hu, Boo Cheong Khoo, Rolf Müller   +3 more
wiley   +1 more source

Accelerating Sustainable Epoxy Resin Development Through Bayesian Optimization and Inverse Design

Journal of Applied Polymer Science, EarlyView.
Development of a machine learning framework for the optimization of the Tg of partially bio‐based epoxy resin formulations in a 13‐component design space using Bayesian optimization, active learning, random design, and inverse design. The results show that the BO effectively navigates high‐dimensional formulation spaces, and the final ML model could ...
Natalie Wunder, Rodrigo Q. Albuquerque, Florian Max, Holger Ruckdäschel   +3 more
wiley   +1 more source

Thermoelectric Response and Field‐Induced Figure of Merit in Fluorine–Doped Carbon Nanotube Using the Lorenz Number

Advanced Physics Research, EarlyView.
Thermoelectric conductivity decreases nonlinearly with increasing temperature for all investigated band‐gap values. Higher energy splitting yields lower conductivity, while smaller gaps maintain superior carrier transport. Peak response occurs at low temperature, followed by gradual saturation at elevated temperatures.
D. Sekyi‐Arthur, B. Afoakwa
wiley   +1 more source

Analysis of ( P , m ) $(P,\mathrm{m})$ -superquadratic function and related fractional integral inequalities with applications

Journal of Inequalities and Applications
In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fractional versions ...
Dawood Khan, Saad Ihsan Butt, Youngsoo Seol   +2 more
doaj   +1 more source

Tricomi Problem for a Mixed-Type Equation of the Second Kind in a Domain the Elliptic Part of Which is the First Quadrant of the Plane

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In the theory of mixed-type equations, most studies have been carried out for bounded domains with smooth boundaries and for equations of the first kind.
Zunnunov, R.T., Bektosheva, Sh.A., Parovik, R.I.   +2 more
doaj   +1 more source

Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions

Canadian Journal of Statistics, EarlyView.
Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni, Luca Merlo, Lea Petrella   +2 more
wiley   +1 more source

A partial envelope approach for modelling multivariate spatial‐temporal data

Canadian Journal of Statistics, EarlyView.
Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja, Wenbo Wu, Victor De Oliveira, Keying Ye   +3 more
wiley   +1 more source