Mathematical approach for rapid determination of pull-in displacement in MEMS devices by Yongcun Shao, Yutong Cui

“…A critical challenge in MEMS devices is accurately determining the pull-in displacement and voltage, which significantly impacts device performance. Existing methods, including the variational iteration method and homotopy perturbation method, often fall short in providing precise estimations of these parameters.MethodsThis study introduces a novel mathematical approach that combines physical insights into the pull-in phenomenon with variational theory. …”
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Exploring the efficacy and safety of Yu-Ping-Feng powder with variation against allergic rhinitis: a randomized, double-blind, placebo-controlled trial by Zhi-Xiu Lin, Tin Muk Ho, Yan-Fang Xian, Kam Leung Chan, Qing-Qing Xu, Cho Wing Lo, Justin Che Yuen Wu, Kam Lun Hon, Sin Bond Leung, Chon Pin Chia, Chi Him Sum, Tak Yee Chow, Pui Kuan Cheong, Jessica Yuet Ling Ching, Hongwei Zhang, Ka Chun Leung, Wai Ling Lin

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Modeling and Comparison of the Modified Ludzack–Ettinger Process with Septic Tank Integration for Wastewater Treatment in Small Communities Using GPS-X by Mitra Hosseini, Saba Majidi

“…The current study aims to modeling and comparison of the Modified Ludzack–Ettinger (MLE) process with septic tank (SEP) integration for wastewater treatment in small communities using GPS-X. …”
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Application of Twisting Controller and Modified Pufferfish Optimization Algorithm for Power Management in a Solar PV System with Electric-Vehicle and Load-Demand Integration by Arunesh Kumar Singh, Rohit Kumar, D. K. Chaturvedi, Ibraheem, Gulshan Sharma, Pitshou N. Bokoro, Rajesh Kumar

“…The main drivers of the increase in solar photovoltaic (PV) system grid integrations in recent years have been lowering energy costs and pollution. …”
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Analysis method combining improved AE algorithm and signal reconstruction in mechanical faults by Zhenhua Niu

“…Traditional diagnostic methods have shortcomings in accuracy and robustness.MethodsTherefore, the study integrates variational autoencoders with long short-term memory network models, enhances them using dropout methods, and proposes a hybrid diagnostic analysis model that combines improved autoencoder algorithms and signal reconstruction.ResultsThe experiment outcomes indicated that under the slow degradation mode of the bearing, the precision, recall, F1 score, and overall accuracy of the improved autoencoder model were 0.931, 0.933, 0.920, and 0.939, respectively, which were better than the pre-modified model. …”
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Data-Model Fusion-Driven Method for Fault Quantitative Diagnosis of Heat Exchanger by Xiaogang Qin, Shiwei Yan, Haibo Xu, Yi Gao, Yanbing Yu, Jinjiang Wang

“…After the fault mode is identified, to achieve quantitative analysis of the failure degree, an index-integrated mechanism equation is constructed using monitoring data and secondary parameters, where the index is dynamically modified by online data. …”
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Investigation of crack propagation in single optical fiber composite with thermal influence by finite element method by Verlinski Sergey, Arzumanyan Hovhannes, Ahanchian Mohammad

“…Corresponding finite element analysis was performed to determine the evolution of stress and strain states. The method is developed and combined with the modified J-integral theory to deal with this problem. …”
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A review of smart structures and adaptation of 3d printing methods for future fashion applications by Viktorija Diak

“…However, the creation of such novel materials/structures and their integration with traditional fibres present numerous challenges, urging the industry to explore new manufacturing methods. …”
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Designing a cultivation model for top-notch students in basic medicine: a Delphi method by Geng Ni, Yutong Qin, Fangfang Wang, Jianjun Huang

“…These enhancements specifically address previously identified gaps in holistic, systematic cultivation frameworks for top-notch basic medicine students, aligning closely with national educational strategies and global healthcare challenges. Methods This study employed a modified Delphi method conducted over three rounds. …”
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Methods of Laser Spectroscopy in Devices for Continuous Monitoring of O2 and CO Content in Boiler Smoke Gases by V. A. Firago, V. Wujcik, I. S. Manak, P. Komada, V. V. Krot

“…The paper shows that the least errors of continuous CO and O2 concentration monitoring at the presence of variations in dissipative losses have been ensured by the modified correlation method though its threshold sensitivity is less than integral and correlation ones.…”
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Evaluating the power mean method to determine an equivalent sandgrain roughness parameter over streamwise-heterogeneous roughness by Vidya Vishwanathan, Nicholas Hutchins, Michael P. Schultz

“…The sandgrain roughness computed using these averaging methods, $k_{s_{eq}}$ , is then compared with true parameters, $k_{s_{eff}}$ , estimated from the fully rough asymptote model and a modified momentum integral method that accounts for the streamwise variation of skin friction over the heterogeneous surface. …”
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Regional Frequency Measurement Point Selection and System Partitioning Method for High-Renewable-Energy-Penetration Power System by Dongdong Li, Zhenfei Yao, Yin Yao, Bo Xu, Fan Yang

“…Finally, the effectiveness of the proposed method is verified using a modified standard 39-node system. …”
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Coconut tree modeling based on abiotic factors and modified cosserat rod theory by Sakthiprasad Kuttankulangara Manoharan, Rajesh Kannan Megalingam

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Multi-Objective Decision-Making Evaluation Method of Environmental Impact Associated with the Life Cycle of Agro-Friendly Biochar Materials by Shunyang Wang, Jing Wei, Hua Li, Da Ding, Yaxin Zhang, Yuen Zhu, Shaopo Deng, Yongming Luo

“…Sensitivity analysis further confirmed the robustness of the method, with impact variations ranging from 0.44 to 0.52, suggesting the model’s reliability in comparing different remediation materials. …”
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Unveiling the impact of traditional sourdough propagation methods on the microbiological, biochemical, sensory, and technological properties of sourdough and bread: a comprehensive... by Erica Pontonio, Giuseppe Perri, Maria Calasso, Giuseppe Celano, Michela Verni, Carlo Giuseppe Rizzello

“…Nevertheless, to date, no study has ever evaluated the biochemical and microbial dynamics of sourdoughs propagated using the different traditional methods integrated into procedural back-slopping practices worldwide. …”
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Can implementation failure or intervention failure explain the result of the 3D multimorbidity trial in general practice: mixed-methods process evaluation by Ali R G Shaw, Bruce Guthrie, Chris Salisbury, Cindy Mann, Lesley Wye, Mei-See Man, Katherine Chaplin

“…Objectives During a cluster randomised trial, (the 3D study) of an intervention enacting recommended care for people with multimorbidity, including continuity of care and comprehensive biennial reviews, we examined implementation fidelity to interpret the trial outcome and inform future implementation decisions.Design Mixed-methods process evaluation using cross-trial data and a sample of practices, clinicians, administrators and patients. …”
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A Systematic Review Uncovering Modifiable Influences on Statin Adherence by Rosenberg J, Lampridou S, Moores A, Garfield S, Wingfield D, Judah G

“…Understanding and addressing modifiable influences on adherence is key to improving outcomes. …”
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Defining Reablement in the Dutch Context: A Modified Delphi Study by Buma LE, Mouchaers I, Zwakhalen SM, Vluggen S, Satink T, Metzelthin SF

“…This study extends the original conceptual definition by integrating these elements, offering clearer, more practical guidance for real-world application.Materials and methods: A modified Delphi study was performed to develop a definition of reablement that fits the Dutch health and social care system, extending beyond conceptual understanding. …”
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A Probabilistic Statistical Risk Assessment Method for Soil Erosion Using Remote Sensing Data: A Case Study of the Dali River Basin by Hao Zhao, Yuhui Cheng, Xiwang Zhang, Shiqi Yu, Mengwei Chen, Chengqiang Zhang

“…In order to address this issue, this study proposes a soil erosion risk assessment method that integrates the outcome and the probability of occurrence of soil erosion by means of a probabilistic statistical model. …”
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Variable-Step Semi-Implicit Solver with Adjustable Symmetry and Its Application for Chaos-Based Communication by Vyacheslav Rybin, Ivan Babkin, Yulia Bobrova, Maksim Galchenko, Alexander Mikhailov, Timur Karimov

“…In this article, we introduce a novel approach to numerical integration based on a modified composite diagonal (CD) method, which is a variation of the semi-implicit Euler–Cromer method. …”
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