Exploring Physics-Informed Neural Networks for the Generalized Nonlinear Sine-Gordon Equation by Alemayehu Tamirie Deresse, Tamirat Temesgen Dufera

“…In this paper, we propose a machine learning-based approach, physics-informed neural networks (PINNs), to investigate and explore the solution of the generalized non-linear sine-Gordon equation, encompassing Dirichlet and Neumann boundary conditions. …”
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Impact of Majorana fermions on the Kondo state in the carbon nanotube quantum dot by D Krychowski

“…We observed the fractional quantum conductance, the enhancement of the thermoelectric power with two compensation points, the fractional linear and nonlinear Fano factor ( F _K ), and the spin polarization of the conductance. …”
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Production-Distribution Model Considering Traceability and Carbon Emission: A Case Study of the Indonesian Canned Fish Food Industry by Dwi Iryaning Handayani, Ilyas Masudin, Ahmad Rusdiansyah, Judi Suharsono

“…<i>Method:</i> A mixed-integer linear programming (MILP) approach was used to develop mathematical models and the optimal solution of the model created was obtained using an open-source spreadsheet solver program. …”
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Evaluation of buffalo milk production in several states of Venezuela by Néstor Simón Montiel-Urdaneta, José Raúl Pérez-González

“…Analysis of variance (ANOVA) was used, using the statistical package SAS version 9, 1. The linear additive model used was: first-calving buffaloes between 180 and 195 days; the highest LD was observed in eighth and ninth-calving buffaloes at 310 and 330 days. …”
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Automatic system of mutually invariant vector control of mixer technology state variables by Rudolf A. Neydorf, Mohammed Neamah Mohsen

“…The synthesis is resulted in a rather complex non-linear vector control law which, however, provides all the properties inherent in the paradigm of its creation and implementation. …”
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Towards Sustainable Shipping: Joint Optimization of Ship Speed and Bunkering Strategy Considering Ship Emissions by Qin Wang, Jiajie Zhou, Zheng Li, Sinuo Liu

“…Subsequently, the nonlinear parts in the objective function and constraints are transformed into linear forms. Thereafter, the model is applied to the Asia–Europe route of the CMA CGM Shipping Company to find the planned speeds and bunkering strategies for container liners sailing in expanded emission control areas (ECAs) that will be implemented in the future. …”
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Recreational activities and psychological distress during the COVID-19 crisis: a cohort study from Norway by Rebecca Dyer Ånensen, Viggo Krüger, William Hazell, Gro Mjeldheim Sandal, Lars Thore Fadnes

“…Methods Data from a cohort study (n = 16,212) collected at three time points (April 2020, January 2021, and May 2022) in Bergen, Norway, were analysed via a linear mixed model. Associations between psychological distress and five dimensions of recreational activities were assessed, both at baseline and over time. …”
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Shape Preserving Interpolation Using C2 Rational Cubic Spline by Samsul Ariffin Abdul Karim, Kong Voon Pang

“…Notably our scheme is easy to use and does not require knots insertion and C2 continuity can be achieved by solving tridiagonal systems of linear equations for the unknown first derivatives di, i=1,…,n-1. …”
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IS PHYSICAL ACTIVITY ASSOCIATED WITH A HIGHER DEGREE OF WISDOM? CROSS-SECTIONAL STUDY WITH HIGH SCHOOL STUDENTS by Pâmela Moraes Volz, Leandro Quadro Corrêa, Eduardo Gauze Alexandrino, Rodrigo Rodrigues, Michael Pereira da Silva, Samuel Carvalho Dumith

“…The independent variable was the “level of leisure PA” (inactive, insufficiently active, and physically active) and the outcome was the “degree of wisdom” evaluated through a validated questionnaire (SD-WISE7). There was a linear trend towards an increase in the wisdom score according to the level of PA. …”
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Research on urban resilience assessment and driving forces based on Production-Living-Ecological Spaces: A case study of the Three Gorges Reservoir Area in China. by Honglin Liu, Junjie Zhu, Ziming He

“…There appears to be no evident clustering influence; (3) each county's production space has a high level of resilience, which is the component that has the greatest influence on the county's total resilience and the living space is next, followed by the ecological space; (4) the vast majority of interactions between the driving factors are two-factor enhancement, with just a small percentage being non-linear enhancement. The study's findings can provide theoretical guidance and technical help for the study of urban resilience in less-developed locations. …”
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Fusion of Sentiment and Market Signals for Bitcoin Forecasting: A SentiStack Network Based on a Stacking LSTM Architecture by Zhizhou Zhang, Changle Jiang, Meiqi Lu

“…The model architecture is based on a Stacking-LSTM ensemble, which captures complex temporal dependencies and non-linear patterns in high-dimensional financial time series. …”
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Mefenamic Acid Selective Membranes Sensor and Its Application to pharmaceutical Analysis by Baghdad Science Journal

“…The specification of sensor based on PMA showed a linear response of a concentration range 1.0 × 10–2 –1.0 × 10–5 M, Nernstian slopes of 17.1-18.86 mV/ decade, detection limit of 7 × 10-5 -9.5 × 10 -7M, pH range 3 – 8 , with correlation coefficients lying between 0.9992 and 0.9976, respectively. …”
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ADIPOSIDADE CORPÓREA E SUA RELAÇÃO COM O GASTO ENERGÉTICO E A COMPOSIÇÃO DA DIETA DE ESCOLARES DO SEXO FEMININO by Adriana Soares Lobo, Adair da Silva Lopes

“…Para verificar associações entre as variáveis utilizou-se a Correla­ção Linear de Pearson (r). O %G correlacionou-se de forma positiva e significativa com o percentual de lipídios (r = 0.42; p…”
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Credit rating prediction with ESG data using data mining methods by Murat Doğan, Muhammed Aslam Chelery Komath, Özlem Sayilir

“…., regression analysis (RA), generalized linear model (GLM), CHAID tree analysis (CTA), and artificial neural networks (ANNs). …”
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Analysis of the degree of implementation of the circular economy in Europe and Spain by María del Valle Fernández, José Manuel Robles, Marta Tolentino, Silvia M. Andrade

“…The traditional economic system focuses on generating value under the linear model of ‘extract, produce, consume, throw away’, causing waste and polluting emissions. …”
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Trends and burden of gout among adolescents aged 10–24 years: insights from the global burden of disease study 2021 by Yueshan Pang, Yiran Yuan, Wei Zhou, Shan Liu, Yanbin Du

“…The incidence, prevalence, YLD, and risk factor rates or numbers for gout were extracted, and trends across different sociodemographic index (SDI) levels and exponential annualized percentage change (EAPC) rates were analysed via linear regression analysis. Bayesian age-period-cohot (BAPC) model with an integrated nested Laplace approximation to predict the age-standardized incidence rate of gout among adolescents over the next 15 years in Global, China, Taiwan (Province of China), Qatar, and Maldives.ResultsThe global incidence number of gout in adolescents increased by 23.47% (95% CI 21.66 to 25.92) from 1990 to 2021; by 2021, the incidence number of gout was 110664.59 (95% UI 62543.83 to 163447.37). …”
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Effectiveness of Bovine Tunica Vaginalis Powder in the Prevention of Tendon Adherence Following Tendon Repair Process in Bucks by Ali Hussein khudair, Hassanain A. Emran

“…Prior to surgery, animals were sedated by intramuscular injection of 2 % xylazine in a dose 0.5 mg/kg body weight, then the site of the operation is anesthetized by linear infiltration of 2% lidocaine hydrochloride. …”
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Automated Online Solid-Phase Extraction Coupled with Sequential Injection-HPLC-EC System for the Determination of Sulfonamides in Shrimp by Pimkwan Chantarateepra, Weena Siangproh, Shoji Motomizu, Orawon Chailapakul

“…Under the optimal conditions, a linear relationship between peak area and sulfonamide concentrations was obtained in the range of 0.01–8.0 μg mL−1. …”
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Development of bio-based thermoplastic polyurethanes formulations using corn-derived chain extender for reactive rotational molding by K. Prashantha, B. J. Rashmi, D. Rusu, M-F. Lacrampe, P. Krawczak

“…All synthesized polyurethanes are 100% linear polymers and the extent of microphase separation, as well as the thermal and mechanical properties highly depends on the HS content, and glass transition temperature and Young modulus can be tuned by adjustment of the SS/HS ratio. …”
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A Study on Systematic Improvement of Transformer Models for Object Pose Estimation by Jungwoo Lee, Jinho Suh

“…To mitigate this, the number of weight parameters was reduced by 28% using low-rank weight decomposition in the linear layer of attention. In addition, a 17% improvement in rotation training accuracy over the baseline model was achieved by applying GQA and RMS normalization.…”
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