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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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

“…Results We applied a 4 × 4 × 4 3-D hypercube to the national and local datasets and selected a subset of geomarkers using p-values from testing coefficients of the association between each geomarker and lung function decline in the dynamic prediction model. …”
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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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Vibration characteristics of axially loaded tapered Timoshenko beams made of functionally graded materials by the power series method by M. Soltani

“…According to the power series method, the exact fundamental solutions are found by expressing the variable coefficients presented in motion equations including cross-sectional area, moment of inertia, material properties and the displacement components in a polynomial form. …”
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Approximate Solution of Mixed Problem for Telegrapher Equation with Homogeneous Boundary Conditions of First Kind Using Special Functions by P. G. Lasy, I. N. Meleshko

“…The solution of the latter can be found by dividing the variables in the form of a series of trigonometric functions of a line point with time-dependent coefficients. …”
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Development of objective test functions for modeling and sensitivity analysis of the mechanical behaviour of aluminum-agro-marine waste composites by Obinna Onyebuchi Barah, Stephen Ndubuisi Nnamchi, Milon Dennison Selvam, Mustafah Muhamad Mundu, Abubakar Abdulkarim

“…Composite samples were prepared according to ASTM standards for tensile, compressive, flexural, wear, and fatigue tests. Objective Test Functions (OTFs) were derived using physical modeling and sensitivity analysis to filter impactful variables. …”
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Exploring undue advantage of differential item functioning in high-stakes assessments: Implications on sustainable development goal 4 by Oluwaseyi Aina Gbolade Opesemowo

“…In ensuring equity of measurement between subgroups at the item level, Differential Item Functioning (DIF) analysis is essential. However, discounting DIF affects validity, thereby making Sustainable Development goal 4 (SDG4) challenging to attain. …”
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The Relationship between Executive Functions and Postural Control in Children with Mild Intellectual Disability and Comparison with Typically Developing Peers by Elaheh Azadian, Makwan Jabar Ali

“…Objective Children with intellectual disability (ID) experience significant impairments in both cognitive and motor functions, which impact their balance and postural control. …”
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Entropy analysis of Hall-effect-driven TiO2−CoFe2O4/ engine oil-based hybrid nanofluid flow between spinning porous disks with thermal convective boundaries by Sk Enamul, Surender Ontela

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Application of Empirical Orthogonal Function Interpolation to Reconstruct Hourly Fine Particulate Matter Concentration Data in Tianjin, China by Hongwu Zhou, Haidong Pan, Shuang Li, Xianqing Lv

“…Finally, six evaluation indices (mean absolute error (MAE), RMSE, correlation coefficient (Corr), deviation rate bias, Nash–Sutcliffe efficiency (NSE), and index of agreement (IA)) are calculated. …”
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Psychometric evaluation and derivation of the Kannada version of the modified (29-item model) Indian Vision Function Assessment Questionnaire by Soujanya Kaup, Jyoshma Dsouza, Siddharudha Shivalli, Sheetal Savur, Vidya Hegde

“…Background/Aims: India’s linguistic and cultural diversity necessitates a region-specific validated Visual Functioning Questionnaire. The objective of this study was to translate the Indian Vision Function Questionnaire-33 (IND-VFQ-33) into the Kannada language and test its psychometric properties, underlying factor structure, and model fit. …”
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Duality Revelation and Operator-Based Method in Viscoelastic Problems by Zelin Liu, Xiaobin Yu, Yajun Yin

“…By incorporating a damage-based variable coefficient, the model now also accounts for the accelerated creep phase of rocks, capturing damage evolution under prolonged loading. …”
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Rolling Bearing Fault Diagnosis Method Based on SWT and Improved Vision Transformer by Saihao Ren, Xiaoping Lou

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Variabilidad espacial y diaria del contenido de humedad en el suelo en tres sistemas agroforestales Spatial and daily variability of soil moisture content in three agroforestry sys... by Mariela Rivera Peña, Edgar Amézquita Collazos, Idupulapati Rao, Juan Carlos Menjivar Flores

“…The geo-statistical analysis showed that the random component of the spatial dependence was predominant over the nugget effect. The functions of semivariograms, structured for each variable were used to generate maps of interpolated contours at a fine scale. …”
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The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions by Feng Jiang, Xiao-Ping Miao, Feng Lu, Li-Yuan Su, Yao Ma

“…The complex frequency shifted (CFS) perfectly matched layer (PML) is proposed for the two-dimensional auxiliary differential equation (ADE) finite-difference time-domain (FDTD) method combined with Associated Hermite (AH) orthogonal functions. According to the property of constitutive parameters of CFS-PML (CPML) absorbing boundary conditions (ABCs), the auxiliary differential variables are introduced. …”
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Thermodynamic study of improved cooling in solar photovoltaic cells using nanofluids with graphite-doped titanium dioxide and aluminum oxide by N. Sathiesh Kumar, Debabrata Barik, Kapura Tudu, Seepana Praveenkumar, Milon Selvam Dennison, Talib K. Ibrahim

“…Hence it can be recommended that, with an increase in pump efficiency or by the use of a variable-speed pump, the extra resistance can be compensated for without excessive energy consumption.…”
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