A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions by Di Zhang, Fusheng Peng, Xiaoping Miao

“…The present paper proposes a new unconditionally stable method to solve telegraph equation by using associated Hermite (AH) orthogonal functions. Unlike other numerical approaches, the time variables in the given equation can be handled analytically by AH basis functions. …”
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A functional data analysis approach for modelling frequency‐modulated tonal sounds in animal communication by Maria Silvia Labriola, Petra Oswine Pammer, Giulia Pedrazzi, Giancarlo Giacomini, Giovanna Jona Lasinio, Daniela Silvia Pace

“…Estimated functional coefficients of the regression model suggested that different contextual factors have a significant effect on the FM patterns of SWs. …”
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Investigation of Withdrawal, Controlling Difficulty, Disorder in Functionality, and Social Isolation in Problematic Internet Use in Adolescents by Sema Bayraktar, Merve Boşat Sönmez

“…In addition, the study determined that the relationship between impairment of functioning and social Isolation was significant. When the coefficients related to path analysis were tested, it was found that the effect of impairment of functioning on deprivation was not statistically significant, whereas the effect of control difficulty and social isolation on deprivation was statistically significant. …”
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A MATHEMATICAL APPROACH TO INVESTMENT WITH CHARGE ON BALANCE AND VOLUNTARY CONTRIBUTIONS UNDER WEIBULL MORTALITY FORCE FUNCTION by Edikan Edem Akpanibah, Peter Benneth, Ase Matthias Esabai

“…It was discovered that the composition of the OCS depends on the instantaneous volatility, tax on investment, AVC, risk aversion coefficient (RAC), CB and the correlation coefficient. …”
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A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform... by Prathiksha Sanil, Manjunatha Gudekote, Rajashekhar Choudhari, Madhavi M. R., Hanumesh Vaidya, Kerehalli Vinayaka Prasad

“…It ensures precise flow control in applications like pharmaceuticals, food processing, and chemical handling, while slip conditions enhance efficiency by reducing boundary friction. The current study explores the peristaltic transport of Ree-Eyring fluid through a non-uniform channel, focusing on temperature-dependent fluid properties such as viscosity and thermal conductivity, which are vital in modelling biological and industrial applications. …”
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On Numerical Characteristics of а Simplex and their Estimates by M. V. Nevskii, A. Yu. Ukhalov

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Relationship between functional movement screening (FMS) scores and balance and strength performance in young male athletes by Şükran İribalcı, Mert Aydoğmuş, Serkan Revan, Harun Genç

“…Shapiro-Wilk test was applied to determine if the data were normally distributed, Pearson’s correlation coefficient analysis was used measure linear correlation, and Spearman’s rank correlation coefficient (ρ) was determined to measure the strength and direction of correlation between variables. …”
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Innovative measurement of routine physiological variables (heart rate, respiratory rate and oxygen saturation) using a remote photoplethysmography imaging system: a prospective com... by Eliane Albuisson, Anthony Moussu, Bruno Chenuel, Yohann Bernard, Mathias Poussel, Véronique Saunier

“…Remote photoplethysmography imaging (rPPG) makes it possible to use a camera video to measure some of the most valuable physiological variables: heart rate (HR), respiratory rate (RR) and oxygen saturation (SpO2). …”
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Optimization of clayey soil parameters with aeolian sand through response surface methodology and a desirability function by Ghania Boukhatem, Messaouda Bencheikh, Mohammed Benzerara, Mehmet Serkan Kırgız, N. Nagaprasad, Krishnaraj Ramaswamy, Souhila Rehab-Bekkouche, R. Shanmugam

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Method for solving mixed boundary value problems for parabolic type equations by using modifications Lagrange-Sturm-Liouville operators by Alexandr Trynin

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Reliability of two-dimensional speckle tracking echocardiography in assessment of left atrial function in postmenopausal hypertensive women by M. Yu. Kolesnyk, M. V. Sokolova

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Correlation between Rainfall and Runoff in Fuchun River Basin Based on Copula Functions and Kernel Density Estimation by YANG Sheng-mei, ZHU De-kang, CHENG Xiang, LI Bo, ZHU Yan-ze, MA Wen-sheng

“…The Gaussian was selected to estimate the marginal distributions of hydrological variables in the Fuchun River Basin, demonstrating higher simulation accuracy without relying on any distribution assumption.(2) By estimating the Kendall and Spearman rank correlation coefficients of the bivariate functions of Gaussian-Copula, t-Copula, Clayton-Copula, Frank-Copula, and Gumbel-Copula, and comparing them with the Kendall and Spearman rank correlation coefficients of the original observed data, it was found that Gaussian-Copula and Gumbel-Copula were closer to the observed data.(3) By calculating the Euclidean distance, the fitting performance of the Copula functions was evaluated. …”
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Exploring the nexus between hydroclimatic variability, population growth, land use land cover change, and long-term upper Nyong Basin River chemistry (Central Africa rainforest) by David Eric Komba, Gustave Raoul Nkoue Ndondo, Jean Riotte, Stéphane Audry, Bertil Nlend, Bernadette Nka Nnomo, Suzanne Ngo Boum-Nkot, Henriette Ateba Bessa, Enoh Jeanot Fongoh, Laurie Boithias, Christelle Lagane, Jules Rémy Ndam Ngoupayou, Marie Joseph Ntamak-Nida, Jacques Etame, Jean Jacques Braun

“…Abstract Hydrological and hydrogeochemical functioning of rivers depends on the relationship between climatic variability, land use and land cover change (LULCC), and population dynamics. …”
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Dynamic brain-heart-gut coupling during sleep: a continuous physiological signal analysis by Guojing Wang, Guojing Wang, Guojing Wang, Hongyun Liu, Hongyun Liu, Shijing Wu, Shijing Wu, Xiaohua Yu, Xiaohua Yu, Weidong Wang, Weidong Wang

“…However, current research on gut function primarily focuses on gut microbiota, with a lack of systematic investigation into the macroscopic dynamic changes of gut function. …”
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Research of Parameterization and Optimization of Shaped-profile and Size of Circular Arc Rotor Pair for Roots Pump by Li Yulong, Zhang Chenhe, Ran Guangze

“…Then,from pitch circle radius and shape coefficient as two design variables,the minimum wrapping cube space volume of rotor pair as an objective function,the upper limit of the shape coefficient and rounded-value of center distance and the diameter ratio of the rotor and other as constraint functions. …”
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RELIABILITY ANALYSIS FOR JACK-UP GEARBOX BASED ON COPULA BAYESIAN NETWORK by ZHANG Qing, LIU Chao, SUN YuanTao, QIN XianRong

“…However,the Copula Bayesian network takes advantage of both Copula function and Bayesian network,it can takes the correlation of variables into consideration by using Copula function,and makes probability inference of reliability at the same time. …”
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Investigating One-, Two-, and Triple-Wave Solutions via Multiple Exp-Function Method Arising in Engineering Sciences by Pengbo Wan, Jalil Manafian, Hajar Farhan Ismael, Sizar Abid Mohammed

“…The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended (3+1)-dimensional Jimbo-Miwa-like (JM) equation, the extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the generalization of the (2+1)-dimensional Bogoyavlensky-Konopelchenko (BK) equation, and a variable-coefficient extension of the DJKM (vDJKM) equation, which contain one-soliton-, two-soliton-, and triple-soliton-kind solutions. …”
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Hypercubes to identify geomarkers of rapid cystic fibrosis lung disease progression by Yizi Cheng, Cole Brokamp, Erika Rasnick Manning, Elizabeth L. Kramer, Patrick H. Ryan, Rhonda D. Szczesniak, Emrah Gecili

“…Although geomarkers have been linked to pulmonary outcomes in other respiratory diseases, it is unknown which have the greatest predictive power for rapid lung function decline in CF. Methods We adapted an existing statistical procedure, which arranges candidate variables in a k-dimensional hypercube, where the hypercube forms a set of variables for a multi-stage selection process involving complex longitudinal data. …”
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Novel Hybrid Function Operational Matrices of Fractional Integration: An Application for Solving Multi-Order Fractional Differential Equations by Seshu Kumar Damarla, Madhusree Kundu

“…The developed algorithm was then applied to a range of benchmark problems, including both linear and nonlinear multi-order FDEs with constant and variable coefficients. Numerical comparisons with well-established methods in the literature revealed that the proposed approach not only achieved higher accuracy but also significantly reduced computational effort, demonstrating its potential as a reliable and efficient numerical tool for fractional-order modeling.…”
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Comparative effects of arithmetic, speech, and motor dual-task walking on gait in stroke survivors: a cross-sectional study by Xueyi Zhang, Xueyi Zhang, Qi Wang, Qiujie Li, Qiujie Li, Hui Liu, Hui Liu, Xianglin Wan, Xianglin Wan

“…This study assessed the acute effects of different types of dual tasks on gait in stroke patients during task performance, informing occupational, and physical therapists about care recommendations to prevent patients from falling and improve their balance function in daily life.MethodsA total of 19 stroke patients (52.7 ± 6.9 years old) performed the walking-only and dual-task walking (motor, arithmetic and speech) task test while a 3D motion capture system measured the gait parameters (the gait spatial-temporal parameters, sagittal angle of lower-limb joints, gait parameter variability and dual-task cost). …”
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