Closed-Form Solutions to Differential Equations via Differential Evolution by L. Mex, Carlos A. Cruz-Villar, F. Peñuñuri

“…First, the problem is stated as an optimization problem where the independent variables are elementary functions. Second, as the domain of DE is real numbers, we propose a grammar that assigns numbers to functions. …”
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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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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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أثر كفاءة الجھاز التنفسي في ألانجاز الرقمي لعدائي ( -5001500 للشباب بأعمار دون( 20 )سنة by عباس فاضل جابر, ماهر عبداللطيف عارف

“… A study conducted on a sample of runners ran (1500 m -5000 m) youth Reconstruction without (20) years to know the effect of the efficiency of the respiratory tract in the achievement digital The study aimed to identify the impact of the efficiency of the respiratory system of delivery for digital hostile (1500-5000) meters for youth ages without 20 years old and to identify the relationship between some of the functions of breath and time ran 1,500 meters and 5,000 meters for young people under the age of 20 years and get the equation predictive time-ran 1,500 meters and 5,000 meters for young people under the age of 20 years have been identified measurements that will be used in the research is vital capacity of the lungs VC)) and vital capacity rapid ( FVC) and the volume of exhaled air after the first second (FEV1) and the percentage of the volume of exhaled air after the first second (FEV1%) and the average maximum speed of exhalation (MMF) and compression force exhaled air - rate the passage of exhaled air (PEF) has concluded the researchers to some of the findings, including the existence of correlation between some of the functions of breath and time ran (1500-5000) meters for youth and appeared vital capacity of the lungs during rest (VCr) preference efficiency Respiratory to hostile five thousand meters on the hostile thousand and five hundred meters clearly. emerged as functions of breathing contribute to the time he ran (1500) m is the rate of passage of exhaled air PEF and jointly by (41.55%), followed by vital capacity maximum (FVC) by (5.71%) and the volume exhaled air after the first second (FEV1) increased by 3.55% and the three variables contribute by 49.11% at the time ran the 1,500 meters. …”
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Predicting Wastewater Characteristics Using Artificial Neural Network and Machine Learning Methods for Enhanced Operation of Oxidation Ditch by Igor Gulshin, Nikolay Makisha

“…This study investigates the operational efficiency of the lab-scale oxidation ditch (OD) functioning in simultaneous nitrification and denitrification modes, focusing on forecasting biochemical oxygen demand (BOD₅) concentrations over a five-day horizon. …”
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Analysis of Surface Roughness and Machine Learning-Based Modeling in Dry Turning of Super Duplex Stainless Steel Using Textured Tools by Shailendra Pawanr, Kapil Gupta

“…One of the most critical aspects of turning, and machining in general, is the surface roughness of the finished product, which directly influences the performance, functionality, and longevity of machined components. …”
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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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Fokker-Planck Central Moment Lattice Boltzmann Method for Effective Simulations of Fluid Dynamics by William Schupbach, Kannan Premnath

“…This can be interpreted as a new path for the collision process in terms of the relaxation of the various central moments to “equilibria”, which we term as the Markovian central moment attractors that depend on the products of the adjacent lower order moments and a diffusion coefficient tensor, thereby involving of a chain of attractors; effectively, the latter are nonlinear functions of not only the hydrodynamic variables, but also the non-conserved moments; the relaxation rates are based on scaling the drift coefficient by the order of the moment involved. …”
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Deep learning algorithm on H&E whole slide images to characterize TP53 alterations frequency and spatial distribution in breast cancer by Chiara Frascarelli, Konstantinos Venetis, Antonio Marra, Eltjona Mane, Mariia Ivanova, Giulia Cursano, Francesca Maria Porta, Alberto Concardi, Arnaud Gerard Michel Ceol, Annarosa Farina, Carmen Criscitiello, Giuseppe Curigliano, Elena Guerini-Rocco, Nicola Fusco

“…The DL model exhibited high accuracy in tissue quantification and TP53 status prediction, outperforming traditional methods in terms of precision and efficiency. DL-based approaches offer significant promise for enhancing biomarker testing and precision oncology by reducing intra- and inter-observer variability, but further validation is required to optimize their integration into real-world clinical workflows. …”
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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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Removal of chromium from synthetic wastewater by electrocoagulation and using natural coagulant (blend of hen eggshell powder with lime): optimization of response surface methodolo... by Werkne Sorsa Muleta, Firomsa Bidira Abdi, Endrias Adane Bekele

“…The central composite design of the response surface methodology was employed to estimate and optimize process variables, such as initial Cr concentration (225–475 mg/L), solution pH (5–9), and current density (0.35–045 A/m2), and treatment time (30–40 min) with an electrode distance (ED) of 0.5 and 1 cm, respectively. 99.90% and 99.74% of removal efficiencies were observed at initial Cr concentration of 456.11 mg/L, a solution pH of 5.45, with current density of 0.47 A/m2, and treatment time of 36.84 min. …”
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Quality of Life in Patients with Multiple Sclerosis by Grażyna Franek, Marzena Bieniak, Aleksandra Cieślik

“…In order to calculate the variables, the following measures were used: arithmetic mean, standard deviation, coefficient of variation, asymmetry coefficient, kurtosis coefficient, Person linear correlation coefficient, Spearman rank correlation coefficient. …”
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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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From Nasion to Sellion: repositioning landmarks for radioprotection-tailored 3D cephalometric analysis by Marco Serafin, Benedetta Baldini, Elisa Boccalari, Salvatore Bocchieri, Sergio Sambataro, Chiarella Sforza, Giuseppe Baselli, Gianluca Martino Tartaglia, Alberto Caprioglio

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INVARIANTS OF GENERALIZED RAPOPORT-LEAS EQUATIONS by E. N. Kushner

“…For the generalized Rapoport-Leas equations, algebra of differential invariants is constructed with respect to point transformations, that is, transformations of independent and dependent variables. The finding of a general transformation of this type reduces to solving an extremely complicated functional equation. …”
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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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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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A Semantic Generalization of Shannon’s Information Theory and Applications by Chenguang Lu

“…The improvements in machine learning methods involve multi-label learning and classification, maximum mutual information classification, mixture models, and solving latent variables. Furthermore, insights from statistical physics are discussed: Shannon information is similar to free energy; semantic information to free energy in local equilibrium systems; and information efficiency to the efficiency of free energy in performing work. …”
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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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