Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays by Josef Rebenda, Zuzana Pátíková

“…We focus on retarded equations with delays which in general are functions of the independent variable. The delayed differential equation is turned into an ordinary differential equation using the method of steps. …”
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MScope: A Reliable Battery for Functional Status Assessment in Multiple Sclerosis by Daniel Lisardo, Susana López-Ortiz, Irati Jauregui-Fajardo, José Pinto-Fraga, Celia García-Chico, Alba Chavarría-Miranda, Nieves Téllez, Sergio Maroto-Izquierdo

“…Neuromuscular assessments showed strong reliability with minor day-to-day variability (ICC = 0.75–0.95, CV < 8%). The battery’s overall consistency supports its use as a reliable tool for assessing functional status in MS patients.…”
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A Versatile Distribution Based on the Incomplete Gamma Function: Characterization and Applications by Jimmy Reyes, Carolina Marchant, Karol I. Santoro, Yuri A. Iriarte

“…We analyze the probability density function and explore fundamental properties, including moments, skewness, and kurtosis coefficients. …”
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Can Emotional and Behavioral Dysregulation in Youth Be Decoded from Functional Neuroimaging? by Liana C L Portugal, Maria João Rosa, Anil Rao, Genna Bebko, Michele A Bertocci, Amanda K Hinze, Lisa Bonar, Jorge R C Almeida, Susan B Perlman, Amelia Versace, Claudiu Schirda, Michael Travis, Mary Kay Gill, Christine Demeter, Vaibhav A Diwadkar, Gary Ciuffetelli, Eric Rodriguez, Erika E Forbes, Jeffrey L Sunshine, Scott K Holland, Robert A Kowatch, Boris Birmaher, David Axelson, Sarah M Horwitz, Eugene L Arnold, Mary A Fristad, Eric A Youngstrom, Robert L Findling, Mirtes Pereira, Leticia Oliveira, Mary L Phillips, Janaina Mourao-Miranda

“…Medication was treated as a binary confounding variable. Decoded and actual clinical scores were compared using Pearson's correlation coefficient (r) and mean squared error (MSE) to evaluate the models. …”
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Correlation between neutrophil to lymphocyte ratio and early renal function level in elderly diabetic patients by SUN Ming-yu, GAO Po, ZHANG Shi-yang, HAN Yong-sheng

“…Logistic regression analysis was used to evaluate the effect of each confounding factor on eGFR using eGFR as an objective variable. Pearson’s correlation coefficients were used to test the associations between various variables and eGFR. …”
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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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A Novel Approach to Transient Fourier Analysis for Electrical Engineering Applications by Mariana Beňová, Branislav Dobrucký, Jozef Šedo, Michal Praženica, Roman Koňarik, Juraj Šimko, Martin Kuchař

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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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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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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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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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On solutions of certain compatible systems of quadratic trinomial Partial differential-difference equations by R. Mandal, R. Biswas

“…Appl. 483(2), 2020) and then construct some systems of certain quadratic trinomial partial differential-difference equations with arbitrary coefficients. Our objective is to investigate the forms of the finite order transcendental entire functions of several complex variables satisfying the systems of certain quadratic trinomial partial differential-difference equations on $\mathbb{C}^n$. …”
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An Algorithm for the Solution of Integro-Fractional Differential Equations with a Generalized Symmetric Singular Kernel by Sameeha A. Raad, Mohammed A. Abdou

“…Next, to solve this <b>MIE</b>, the authors apply a special technique to separate the variables and produce an integral equation in position with coefficients, in the form of an integral operator in time. …”
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