About One Variational Problem, Leading to а Biharmonic Equation, and about the Approximate Solution of the Main Boundary Value Problem for this Equation by I. N. Meleshko, P. G. Lasy

“…Many important questions in the theory of elasticity lead to a variational problem associated with a biharmonic equation and to the corresponding boundary value problems for such an equation. …”
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Spatiotemporal Variation Characteristics and Influencing Factors of Water Quality in the Anhui Section of Yangtze River by FENG Jia-cheng, CAO Xue-kang, TAO Li, HUA Fei, WU Kang

“…[Methods] Based on daily water quality data from 29 national assessment sections in the Anhui section of the Yangtze River from 2021 to 2023, this study adopted the comprehensive water quality index method to evaluate water quality, and integrated principal component analysis, correlation analysis, and other methods to explore the spatiotemporal variation and influencing factors of water quality. …”
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Internal control system of accounts receivable: directions of perfection by Payanok T.M.

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Acoustic Response of an Isotropic Beam Under Axially Variable Loads Using Ritz and Rayleigh Integral Methods by Somi Naidu Balireddy, Jeyaraj Pitchaimani, Lenin Babu Mailan Chinnapandi, V.S.N. Reddi Chintapalli

“…Static buckling and free vibration behaviours using shear and normal deformable theorem and Ritz method. However, the forced vibration response is evaluated using modal superposition method and the acoustic radiation characteristics are obtained using Rayleigh integral. …”
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A numerical method for solving ill-posed problems for two-dimensional integral equations of the first kind by Igor Eduardovich Naats, Victoria Igorevna Naats, Roman Andreevich Ryskalenko

“…Propose a method of numerical solution integral equations of the first kind. …”
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A configuration and scheduling optimization method for integrated energy systems considering massive flexible load resources by Zihao Wang, Shenhua Wang, Hanwen Ni, Junyin Wang, Jun Zhang

“…Introduction: With the increasing demand for energy utilization efficiency and minimization of environmental carbon emissions in industrial parks, optimizing the configuration and scheduling of integrated energy systems has become crucial. This study focuses on integrated energy systems with massive flexible load resources, aiming to maximize energy utilization efficiency while reducing environmental impact.Methods: To model the uncertainties in wind and solar power outputs, we employed three-parameter Weibull distribution models and Beta distribution models. …”
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Numerical Analysis of Transient Burn Injury Grading Through Coupled Heat Transfer and Damage Integral Modeling by Chao Zhang, Xinbin Ma, Mengxi Li, Yubin Qiu, Moon Keun Kim, Jiying Liu

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Towards sustainable architecture: Enhancing green building energy consumption prediction with integrated variational autoencoders and self-attentive gated recurrent units from mult... by Qing Zeng, Fang Peng, Xiaojuan Han

“…This study addresses these challenges by proposing an advanced deep learning framework that integrates Time-Dependent Variational Autoencoder (TD-VAE) with Adaptive Gated Self-Attention GRU (AGSA-GRU). …”
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Clinical value of Beery visual-motor integration and Beery VMI supplemental tests in Chinese preschoolers: a modified replication cross-sectional study by Xin Tang, Xuan Xu, Cong Wang, Lijuan Ao

“…ObjectivePrevious studies have indicated that visual-motor performance is affected by cultural variations. This study aimed to examine differences between the proportion of children with poor visual-motor integration (VMI) performance in published population norms with that in the sample population of this study and to assess the predictive value of the visual perception(VP) and motor coordination(MC) scores in explaining VMI variance in Chinese preschoolers.MethodsA random sample of 421 children ageds 3.0–6.11 years (mean age, 4.51 ± 0.93) participated in this study. …”
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Variation of the Intermediate Language in Flanders by N. A. Kolomiets

“…The data was collected  and analyzed using the method  linguistic observations, questioning  and comparative analysis. …”
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A Transiting Giant on a 7.7 yr Orbit Revealed by Transit Timing Variations in the TOI-201 System by Gracjan Maciejewski, Weronika Łoboda

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A Robust Tracking Method for Aerial Extended Targets with Space-Based Wideband Radar by Linlin Fang, Yuxin Hu, Lihua Zhong, Lijia Huang

“…First, we extend the observation model of the gamma Gaussian inverse Wishart probability hypothesis density filter to three-dimensional space by incorporating a spherical–radial cubature rule for improved nonlinear filtering. Second, variational Bayesian processing is integrated to enable the joint estimation of the target state and measurement noise parameters, and a recursive process is derived for both Gaussian and Student’s t-distributed measurement noise, enhancing the method’s robustness against noise uncertainty. …”
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Short-Term Power Load Prediction Method Based on VMD and EDE-BiLSTM by Yibo Lai, Qifeng Wang, Gang Chen, Yu Bai, Peiyu Zhao, Xiaojing Liao, Shuang Wu, Changyou Men, Quan Sun

“…Aiming at the diversity and flexibility of electric loads and their inherent nonlinearity and temporality in the context of the new era. A forecasting method is proposed combining Variational Modal Decomposition (VMD) and EDE-BiLSTM. …”
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Integrating sequencing methods with machine learning for antimicrobial susceptibility testing in pediatric infections: current advances and future insights by Zhuan Zou, Zhuan Zou, Fajuan Tang, Fajuan Tang, Lina Qiao, Lina Qiao, Sisi Wang, Sisi Wang, Haiyang Zhang, Haiyang Zhang

“…These inconsistencies may arise from factors such as genetic mutations or variants in resistance genes, differences in the phenotypic expression of resistance, and the influence of environmental conditions on resistance levels, which can lead to variations in the observed resistance patterns. Machine learning (ML) provides a promising solution by integrating large-scale resistance data with sequencing outcomes, enabling more accurate predictions of pathogen drug susceptibility. …”
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A Double-Inertial Two-Subgradient Extragradient Algorithm for Solving Variational Inequalities with Minimum-Norm Solutions by Ioannis K. Argyros, Fouzia Amir, Habib ur Rehman, Christopher Argyros

“…In this paper, we propose a novel iterative algorithm for solving VIPs in real Hilbert spaces. The method integrates a double-inertial mechanism with the two-subgradient extragradient scheme, leading to improved convergence speed and computational efficiency. …”
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La méthode hydrogéomorphologique de détermination des zones inondables by Jean-Louis Ballais, Sylvain Chave, Nadia Dupont, Éric Masson, Marie-Josée Penven

“…Enfin, l'évolution au cours de la période historique des unités hydrogéomorphologiques principales, lit mineur et lit majeur, est présentée.Le court chapitre III met en relation l'hydrogéomorphologie et le fonctionnement hydraulique à l'échelle des unités hydrogéomorphologiques puis au niveau de la modélisation.La deuxième partie présente les trois principales applications de la méthode : la cartographie des zones inondables, la méthode intégrée et l'aménagement.La cartographie des zones inondables est actuellement la principale application, grâce à son intégration dans la politique de prévision et de prévention des risques d'inondation en France depuis 1995. …”
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Deep multi-modal imaging temperature measurement method for detecting temperature rise in electrical equipment faults by Jinxuan Wen, Jiangjiang Li, Yachao Zhang

“…By applying Bayes theorem and introducing a variational distribution, the method approximates the true posterior. …”
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Building and Visualising Ordinations of Shape Data in R With Morphospace by Pablo S. Milla Carmona, Oscar E. R. Lehmann, William J. Deakin, Eduardo M. Soto, Ignacio M. Soto

“…ABSTRACT Ordination is a critical step of geometric morphometrics that allows simplification of high‐dimensional shape spaces into low‐dimensional representations summarising shape variation. While this is routinely used to visualise the main patterns of morphometric data, the lack of a unified approach curbs researchers' ability to make the most of available ordination and visualisation methods. …”
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Integrating Metaheuristics and Machine Learning for Enhanced Vehicle Routing: A Comparative Study of Hyperheuristic and VAE-Based Approaches by Kassem Danach, Louai Saker, Hassan Harb

“…This study addresses the optimization of the Vehicle Routing Problem (VRP) with prioritized customers by introducing and comparing two advanced solution approaches: a metaheuristic-based hyperheuristic framework and a Variational Autoencoder (VAE)-based hyperheuristic. …”
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An Improved Wavelet Soft-Threshold Function Integrated with SVMD Dual-Parameter Joint Denoising for Ancient Building Deformation Monitoring by Jiaxing Zhao, Houzeng Han, Yang Deng, Youqiang Dong, Jian Wang, Wenjin Chen

“…In deformation monitoring, complex environments, such as seismic excitation, often lead to noise during signal acquisition and transmission processing. This study integrates sequential variational mode decomposition (SVMD), a dual-parameter (DP) model, and an improved wavelet threshold function (IWT), presenting a denoising method termed SVMD-DP-IWT. …”
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