Application of Polylogarithms to the Approximate Solution of the Inhomogeneous Telegraph Equation for the Distortionless Line by P. G. Lasy, I. N. Meleshko

“…Solutions to both problems can be found by separating the variables in the form of a series of trigonometric functions of the line point with time-dependent coefficients. …”
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Blind deconvolution estimation by multi-exponential models and alternated least squares approximations: Free-form and sparse approach. by Daniel U Campos-Delgado, Omar Gutierrez-Navarro, Ricardo Salinas-Martinez, Elvis Duran, Aldo R Mejia-Rodriguez, Miguel J Velazquez-Duran, Javier A Jo

“…On the other hand, the same exponential functions are used in the whole dataset in the global perspective, and just the scaling coefficients are updated for each spatial point. …”
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A Mixture of Clayton, Gumbel, and Frank Copulas: A Complete Dependence Model by M. A. Boateng, A. Y. Omari-Sasu, R. K. Avuglah, N. K. Frempong

“…The corresponding density and conditional distribution functions of the derived models for two random variables, as well as an estimator for the proportion parameter associated with the proposed model, are also derived. …”
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The balance evaluation systems test (BESTest), mini-BESTest and brief-BESTest as clinical tools to assess balance control across different populations: A reliability generalization... by Ana-Belén Meseguer-Henarejos, Juan-José López-García, José-Antonio López-Pina, Ignacio Martínez-González-Moro, Ángel Martínez-Carrasco

“…In this study, the heterogeneity of reliability coefficients in each instrument is evaluated. If heterogeneity is significant, a moderator analysis is performed to identify the characteristic which explains such variability.…”
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Mathematical solutions for coupled nonlinear equations based on bioconvection in MHD Casson nanofluid flow by Khalil Ur Rehman, Nosheen Fatima, Wasfi Shatanawi, Nabeela Kousar

“…We established an artificial neural network (ANN) model, incorporating Tan-Sig and Purelin transfer functions, to enhance the accuracy of predicting skin friction coefficient (SFC) values along the surface. …”
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Measuring and estimation of suspended sediment variation using sediment rating curve approach in Mereg River by Sohila Aghabeigi Amin, Heidar Mirzaei

“…As a major component of hydrological, geomorphological, and ecological functioning of rivers, suspended sediment has been identified as the leading direct cause of river instabilities. …”
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Optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle considering the influence of concentrated mass by Bui Hai Le, Tran Minh Thuy

“…By considering eigen frequencies as state variables, the analogy coefficient k in the necessary optimality condition is explicitly determined. …”
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Interpretable Machine Learning Insights into the Factors Influencing Residents’ Travel Distance Distribution by Rui Si, Yaoyu Lin, Dongquan Yang, Qijin Guo

“…Key factors affecting travel distance distributions include the distance to the city center, bus station density, land use entropy, and the density of companies. Most environmental variables exhibit nonlinear and threshold effects on the log-normal distribution coefficients. …”
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Incorporating stand parameters in nonlinear height-diameter mixed-effects model for uneven-aged Larix gmelinii forests by Muhammad Junaid Ismail, Tika Ram Poudel, Akber Ali, Lingbo Dong

“…Fifteen widely recognized nonlinear functions were assessed to model the H-D relationship effectively. …”
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Explanation of factors affecting the sense of place in religious places of Iran (case examples of historical mosques in Tabriz by Lida Akhlaghi, Asadollah Shafizadeh

“…Spss and Amos software were used for these analyses.The results showed that perceptual and physical factors have the greatest effect in inducing a sense of place in the historical mosques of Tabriz, and social and functional factors have less effect. Among the investigated variables, vitality has the highest correlation coefficient and impact on the sense of place. …”
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Comparative studies of Taguchi dynamic analysis, statistical, and artificial neural networks for low-carbon steel corrosion inhibition in acidic media by Aprael S. Yaro, Anees A. Khadom, Saeed Rajab Yassen

“…The highest correlation coefficient (0.996) and lower absolute error (0.126) were achieved by MLP 2:2-9-4-1:1.…”
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Optimized Control of Hybrid Energy Storage Systems Using Whale Optimization Algorithm for Enhanced Battery Longevity and Stability in Microgrids by Nouman Alam Siddiqui, Hira Tahir, Muhammad Akram, Habib Ullah Manzoor

“…The method optimizes two key variables: current sharing coefficients and the smoothing constant, enabling continuous HESS functionality. …”
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Non-Destructive Detection of Fillet Fish Quality Using MQ135 Gas Sensor and Neutrosophic Logic-Enhanced System by M. Y. Shams, M. R. Darwesh, Roheet Bhatnagar, N. S. A. Al-Sattary, A. A. Salama, M. S. Ghoname

“…Artificial intelligence algorithms were employed to predict quality and calculate regression coefficients. Using the reference neural network algorithm based on chemical and physical compounds, regression coefficients (R values) achieved were 0.99, 0.98, and 0.97, respectively. …”
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Social capital as a determinant of quality of life in greek cancer patients: a cross-sectional study by Athanasios Pitis, Maria Diamantopoulou, Aspasia Panagiotou, Dimitrios Papageorgiou, Foteini Tzavella

“…The association between QoL and Social capital scales was checked via Spearman correlation coefficients (rho).ResultsGreater total score in Social capital scale was significantly associated with greater overall QoL (β = 0.005; p < 0.001), better Emotional functioning (β = 0.004; p = 0.004) and better Social functioning (β = 0.009; p = 0.002),with lower Nausea and vomiting (β = −0.017; p = 0.015), Insomnia (β = −0.014; p = 0.002), Appetite loss (β = −0.010; p = 0.018) and Constipation symptoms (β = −0.009; p = 0.047).ConclusionThere was a strong association between a greater social capital score and the quality of life of Greek cancer patients, indicating that higher levels of social capital are associated with improved quality of life.…”
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Family Resilience and Its Influencing Factors Among Patients With Lung Cancer Based on Double ABC‐X Theoretical Framework by Ziyi Shen, Yan Fang, Chengcheng Li, Xin Luo, Junling Cui, Yanchang Liu, Jingfang Hong

“…Relationships between variables and pathways were also explored based on the Double ABC‐X as the theoretical framework. …”
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Coupled Bending-Bending-Torsion Vibration of a Pre-Twisted Beam with Aerofoil Cross-Section by the Finite Element Method by Bulent Yardimoglu, Daniel J. Inman

“…The advantage of the present element is the exclusion of unnecessary derivatives of fundamental nodal variables, which were included to obtain invertable square matrix by other researchers, by choosing proper displacement functions and using relationship between cross-sectional rotation and the shear deformation. …”
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Predicting and Mapping of Soil Organic Matter with Machine Learning in the Black Soil Region of the Southern Northeast Plain of China by Yiyang Li, Gang Yao, Shuangyi Li, Xiuru Dong

“…The estimation of soil organic matter (SOM) content is essential for understanding the chemical, physical, and biological functions of soil. It is also an important attribute reflecting the quality of black soil. …”
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Inverse problem of life cycle assessment (LCA): its application in designing for environment (DfE) by Rybaczewska-Błażejowska Magdalena, Masternak-Janus Aneta, Gierulski Wacław

“…The dependencies between input and output signals were defined by nonlinear functions of several variables. Next, linearization was used and coefficient aki was calculated. …”
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Impact of short-term aircraft noise on cardiovascular disease risk in the area surrounding London Heathrow airport: the RISTANCO epidemiological study by Xiangpu Gong, Nicole Itzkowitz, Calvin Jephcote, Kathryn Adams, Glory O Atilola, John Gulliver, Marta Blangiardo, Anna Hansell

“…To identify areas with high variability in aircraft noise exposure (due to changes in flight paths because of wind direction and airport operations), we used coefficients of variation (CoV). …”
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Physically-based constitutive model and dynamic recrystallization behavior of AISI 4330V mod. Alloy steel under hot working conditions by Jungmin Lee, Sungryul Kim, Byoungkoo Kim, Donghwan Kim

“…To enhance prediction accuracy, key variables such as characteristic stresses, strains, and material constants used in the model were expressed not only as functions of the Zener–Hollomon parameter (Z), but also as functions of forming temperature and strain rate. …”
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