A Copula-based Method for River Ecological Flow Quantification and Algal Bloom Risk Assessment in the Hanjiang River by NONG Xi-zhi, LAI Cheng, JING Zheng, YE Ye

“…The results from Copula functions were compared with those from the Tennant method and Hydrological Inflection-Point (HIP) analysis for validation. …”
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Numerical approximation of time-fractional nonlinear partial integro-differential equation using fractional Euler and cubic trigonometric B-Spline methods by Mehwish Saleem, Arshed Ali, Fazal-i-Haq, Hassan Khan

“…This method has the ability to handle any kind of nonlinearity without using iterative processes. Efficiency and reliability of the current method is analyzed for the fractional-order via three highly nonlinear test problems with variable coefficients. …”
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Modeling Porosity Distribution Strategies in PEM Water Electrolyzers: A Comparative Analytical and Numerical Study by Ali Bayat, Prodip K. Das, Suvash C. Saha

“…This simplification can significantly impact the accuracy of performance predictions and the overall efficiency of electrolyzers. This study develops a mathematical framework for modeling variable porosity distributions—including constant, linearly graded, and stepwise profiles—and derives analytical expressions for permeability, effective diffusivity, and electrical conductivity. …”
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Disrupted topological organization of brain connectome in patients with chronic low back related leg pain and clinical correlations by Yuqi Ji, Xiao Liang, Yixiu Pei, Xiaoying Zuo, Yanyan Zhu, Jie Xu, Qinmei Kuang, Ziwei Yang, Fuqing Zhou, Yong Zhang

“…This study demonstrates that cLBLP patients exbibit a decreased local efficiency of functional connectivity network and increased compensatory global efficiency of structural connectivity network. …”
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Numerical investigation of fractional order SEIR models with newborn immunization using Vieta–Fibonacci wavelets by Naied A. Nayied, Firdous A. Shah, Mukhtar A. Khanday, Kottakkaran Sooppy Nisar

“…Variations in the fractional parameter α and transmission factor β reveal the influence of these variables on the disease outbreak, with higher values of β leading to rapid transmission. …”
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Correlation and path analysis of interaction between snap beans yield and its components with crop management by N. Shaban

“…Results showed that fresh weight of pod/studied variant (+++0.99), fresh weight of one pod (+++0.77), fresh weight of pods/ plant (+++0.67), calcium content in bean pods (++0.57), pods number /plant (++0.51), pollen fertility (++0.44) had positive impact on yield. The partial function of the studied parameters on variability of bean yield is 98.9%. …”
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The Effect of value added in the Air Transport Industry on the employment of that sector by mahdi niknejad, Kambiz Hojabr Kiani, Ahmad Sarlak, Maryam Khoshnevis

“…Result of the long term model estimation shows that the estimated coefficients for the variables (value added, wage and capital price) are statistically meaningful and their values are 0.16, 0.62 and -0.23, respectively.…”
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On a geometric approach to the estimation of interpolation projectors by Mikhail V. Nevskii, Alexey Y. Ukhalov

“…Here $\sigma S$ is the result of homothety of $S$ with respect to the center of gravity with coefficient $\sigma$. Let $d\geqslant n+1,$ $\varphi_1(x),\ldots,\varphi_d(x)$ be linearly independent monomials in $n$ variables, and $\varphi_1(x)\equiv 1,$ $\varphi_2(x)=x_1,\ \ldots, \varphi_{n+1}(x)=x_n.$ Put $\Pi:=$lin$(\varphi_1,\ldots,\varphi_d).$ The interpolation projector $P: C(\Omega)\to \Pi$ with a set of nodes $x^{(1)},\ldots, x^{(d)} \in \Omega$ is defined by equalities $Pf\left(x^{(j)}\right)=f\left(x^{(j)}\right).$ Denote by $\|P\|_{\Omega}$ the norm of $P$ as an operator from $C(\Omega)$ to $C(\Omega)$ . …”
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Probability calculation of building structures considering asymmetry of random values and functions distribution by Yu. V. Krasnoshchekov

“…A method is proposed for approximating the reliability of fairly complex compositions of random variables using statistical parameters (expectation, standard deviation, and skewness coefficient) of two-element functions approximated by a lognormal three-parameter distribution.Conclusions. …”
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ESTIMATING AND ANALYSING OF DEMAND FUNCTION FOR POULTRY IN IRAQ ROR THE PERIOD (1990 - 2009) by Salim Al-Youzbaki, Suha Mohammad Ahmad Al_Hmdany

“…It was found that the variables (the average per capita income and the size of the population and the prices of poultry meat, red meat, and time) has been deleted variable V average prices of fish meat from the equation for not Manueth. …”
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The stability of the SARS-COV-2 structure in the presence of variable external heat flux in the vicinity of the water/silver nanofluid: A molecular dynamics simulation by Dongfang Wu, Ali B.M. Ali, Abrar A. Mohammed, As'ad Alizadeh, Soheil Salahshour, M. Hashemian, MengXia Wang

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Assessment of the functioning of the photosynthetic apparatus of Olea europaea L. under freezing temperatures by Sergei Yu. Tsiupka, Valentina A. Tsiupka, Ilya V. Bulavin

“…At a low gradient of temperature exposure (-7... - 10°C), leaf tissues of the European selection varieties ‘Coreggiolo’, ‘Ascolano’, ‘Leccino’ and ‘Razzo’ were damaged: electrical conductivity reached 15%, chlorophyll stability index decreased, variable fluorescence and photosynthetic activity coefficients decreased, uncontrolled photon quenching was significantly higher than the effective photochemical quantum yield and non-photochemical quenching. …”
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Regularized regression outperforms trees for predicting cognitive function in the Health and Retirement Study by Kyle Masato Ishikawa, Deborah Taira, Joseph Keaweʻaimoku Kaholokula, Matthew Uechi, James Davis, Eunjung Lim

“…Model performance was evaluated using RMSE and R2 and interpretability was assessed via coefficients, variable importance, and decision trees. …”
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Bioenergy Model of Plant Raw Materials and Assessment of Feed Production Technologies by M. A. Kerimov, D. V. Ivanov

“…Such an estimate often proves to be inaccurate for solving applied problems. The functioning of the biotechnical system "operator – feed – machine – animal" reveals this discrepancy to the highest extent. …”
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Modeling TEC Irregularities in the Arctic Ionosphere Using Empirical Orthogonal Function Method by Yaqi Jin, Wojciech J. Miloch, Daria Kotova, Knut Stanley Jacobsen, Đorđe Stevanović, Lasse B. N. Clausen, Nicholas Ssessanga, Federico DaDalt

“…To develop a climatological model, the ROTI maps are decomposed into base functions and coefficients using the empirical orthogonal function (EOF) method. …”
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Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment by Tao Liu, Yafen Jiang, Shujun Li, Qingyun Liu, Chao Wang

“…An isogeometric analysis (IGA) method is proposed for investigating the active shape and vibration control of functionally graded plates (FGPs) with surface-bonded piezoelectric materials in a thermal environment. …”
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DETERMINATION OF THE OPTIMUM DOSAGE OF FOOD ADDITIVE «SELEX» FOR FUNCTIONAL BAKERY GOODS PRODUCTION by Naumova N.L.

“…While investigating the dependence between selenium losses in the production process and selenium losses during the product storage and the introduced selenium dosage, the availability of the obvious positive correlation of these variables with significant correlation coefficients has been established. …”
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Clinical and functional significance of determining biological age in women during the reproductive period by E. V. Kudryavtseva, D. A. Berezina, V. V. Bazarny, L. G. Polushina, M. А. Kopenkin, A. N. Troitskaya, V. V. Kovalev

“…The inclusion of antioxidant protection parameters, functional state indicators, and reproductive history makes the method versatile and applicable not only in reproductive medicine but also in general medical practice, obstetrics, gynecology, and other fields.…”
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A multimodal functional structure-based graph neural network for fatigue detection by Dongrui Gao, Zhihong Zhou, Zongyao Peng, Haokai Zhang, Shihong Liu, Manqing Wang, Hongli Chang

“…Recent studies have attempted to enhance detection performance through multimodal information fusion, yet they largely overlook the impact of functional connectivity among multimodal signals. To address this limitation, we propose a novel multimodal fatigue classification framework integrating electroencephalogram (EEG) and electrocardiogram (ECG) signals. …”
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An examination of the reliability of seed-to-seed resting state functional connectivity in tinnitus patients by Sara A. Schmidt, Somayeh Shahsavarani, Rafay A. Khan, Yihsin Tai, Elsa C. Granato, Caterina M. Willson, Pedro Ramos, Paul Sherman, Carlos Esquivel, Bradley P. Sutton, Fatima T. Husain

“…Resting state functional connectivity (RS-FC) studies of tinnitus over the years have produced inconsistent results. …”
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