Results 121 to 130 of about 391,951 (282)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

A ring of Gaussian integers and applications

, 2020
Prsten Gaussovih cijelih brojeva \(\mathbb{Z} [i]\)generalizacija je prstena cijelih brojeva \(\mathbb{Z}\). Kao takvi, Gaussovi cijeli brojevi zadržali su većinu svojstava cijelih brojeva.
Novak, Iva
core  

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Optimizing IMPULSED Acquisition Protocols for Clinical 3T Scanners Through Bayesian Experimental Design

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To optimize diffusion MRI acquisition protocols for Imaging Microstructural Parameters Using Limited Spectrally Edited Diffusion (IMPULSED) model at clinical 3T scanner using Bayesian experimental design, enabling accurate cellular‐scale parameter estimation under realistic scan time and scanner hardware constraints.
Yan Dai, Xun Jia, Todd Aguilera, Kai Jiang, Arely Perez Rodriguez, Isabelle Vanhaezebrouck, Jie Deng   +6 more
wiley   +1 more source

A Simpler Proof on the Existence of Good Nested Lattice Codes Over Imaginary Quadratic Integers for AWGN Channel

IEEE Open Journal of the Communications Society
This paper investigates nested lattice codes generated through Construction A from the ring of integers of an imaginary quadratic field. Our primary goal is to offer a streamlined proof of the existence of nested lattice codes that can attain the ...
Maryam Sadeghi, Renming Qi, Chen Feng, Hassan Khodaiemehr, Yu-Chih Huang   +4 more
doaj   +1 more source

Spatially Aware Acquisition‐Independent Deep Learning for IVIM MRI Parameter Estimation in Patients With Esophageal Cancer

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Neural controlled differential equations (NCDEs) recently emerged as a robust deep learning approach for quantitative MRI parameter estimation. NCDEs offer flexibility to changes in acquisition protocols by modeling the signal evolution dynamics. However, NCDE implementations operate on a voxel‐by‐voxel basis and cannot exploit spatial
Daan Kuppens, Roman S. Oort, Sebastiano Barbieri, Stella Mook, Gert J. Meijer, Oliver J. Gurney‐Champion   +5 more
wiley   +1 more source

A Novel Method for Hill Cipher Encryption and Decryption Using Gaussian Integers Implemented in Banking Systems

Iraqi Journal for Computer Science and Mathematics
Cryptographic tools like Hill's encryption algorithm protect digital data. In this work, we present a novel Hill cipher security method that utilizes Gaussian integers from number theory. Using these intriguing mathematical entities to disguise plaintext
Saba Salman, Yasmin Makki Mohialden , Abbas Abdulhameed , Nadia Mahmood Hussien   +3 more
doaj   +1 more source

Inertial‐Based LQG Control: A New Look at Inverted‐Pendulum Stabilization

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Linear‐quadratic Gaussian (LQG) control is a well‐established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct measurement of configuration variables using displacement sensors and rotary encoders. However, in outdoor
Daniel Engelsman, Itzik Klein
wiley   +1 more source

A graph-theoretic approach to ring analysis: Dominant metric dimensions in zero-divisor graphs

Heliyon
This article investigates the concept of dominant metric dimensions in zero divisor graphs (ZD-graphs) associated with rings. Consider a finite commutative ring with unity, denoted as R, where nonzero elements x and y are identified as zero divisors if ...
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Bilal Riaz, Muhammad Imran Qureshi, Ali Akgül   +4 more
doaj   +1 more source

Energy Transfer and Saving in a Nonlinear Coupled Vibrating System Based on the Method of Composite Synchronization Transmission

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The vibrating screening equipment in industry usually requires power supply to each driving motor to keep up with its normal operation. The self‐synchronization transmission motion of two motors can achieve the screening requirement and save electrical energy by driving one single inductor motor. Nevertheless, this technology is currently only
Lei Jia, Di Zhang, Dawei Gu
wiley   +1 more source