Tabular transformer generative adversarial network for heterogeneous distribution in healthcare by Ha Ye Jin Kang, Minsam Ko, Kwang Sun Ryu

“…The ability of the algorithm to handle different types of mixed variables efficiently, including polynomial, discrete, and continuous variables, demonstrated its versatility and practicality in health care research and data synthesis.…”
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A novel waste heat-driven methane reforming membrane reactor and parametric optimization study combining CFD simulation and response surface methodology by Jingyu Wang, Lei Wang, Leilei Shen, Yuqi Shen, Yuqi Wang

“…A quadratic polynomial was fitted to describe the relationship between the input and output variables, where the R2 values for the expressions of XCH4, YH2, and η were all above 0.99. …”
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Environmental impacts shape the density-size relationship of benthic macroinvertebrates in Amazonian streams (Serra dos Carajás, Pará, Brazil) by Maria Eduarda Cabral Liberal, Camila Pinto Leão, Jaqueline Silva de Oliveira, Francisco Valente-Neto, Bruno Spacek Godoy

“…Environmental variables were analyzed using principal component analysis, and size-density relationships were evaluated with a second-order polynomial model. …”
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Spatiotemporal Downscaling Model for Solar Irradiance Forecast Using Nearest-Neighbor Random Forest and Gaussian Process by Shadrack T. Asiedu, Abhilasha Suvedi, Zongjie Wang, Hossein Moradi Rekabdarkolaee, Timothy M. Hansen

“…Finally, the NNGP displayed polynomial scaling while the NNRF scaled linearly with increasing number of nearest neighbors. …”
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Aircraft hybrid-electric environment for analysis and design (AHEAD) applied on a fixed-wing drone by Manuel A. Rendón, Patrícia H. Hallak, Yipsy Roque Benito, Marcelo Assato, Camila de Oliveira Cunha, Daniel Miranda Esther, Rafael Grande Pancini Delmonte, Denys Pinto Gonçalves

“…These equations consider the conditions of the aircraft's altitude and velocity to calculate efficiency. A typical mission is defined, and aerodynamic variables are calculated, as well as the fuel consumption for conventional propulsion. …”
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Sinc-Chebyshev Collocation Method for a Class of Fractional Diffusion-Wave Equations by Zhi Mao, Aiguo Xiao, Zuguo Yu, Long Shi

“…Through the numerical example, the procedure is tested and the efficiency of the proposed method is confirmed.…”
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Optimising ultrasound-assisted extraction conditions for maximising phenolic, flavonoid content and antioxidant activity in hog plum peel and seed: A response surface methodology a... by A.S.M. Sayem, Tanvir Ahmed, Md Usuf Khan Mithun, Mamunur Rashid, Md Rahmatuzzaman Rana

“…Fifteen experimental runs were conducted, using a second-order polynomial model (quadratic) and analysis of variance (ANOVA) to predict the responses and validate the model. …”
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Deterministic Calculation Method for Continuous-energy Neutron Transport Equation in No-resonance Energy-range by LIU Haopo, LI Yunzhao, WU Hongchun, CAO Liangzhi

“…Initially, the non-resonant energy region was subdivided into segments, and within each segment, orthogonal polynomials serve as base functions for expanding the neutron flux density, which realized the processing of single energy independent variable in the neutron flight and absorption process, as well as the handling of double energy independent variable in the neutron scattering process. …”

Desempenho de cultivares de cebola em função do manejo da irrigação por gotejamento Performance of onion cultivars as a function of drip irrigation management by Renato C Vilas Boas, Geraldo M Pereira, Rovilson J. de Souza, Rodrigo Consoni

“…It can be concluded that the hybrid Optima F1 presented the best response in relation to the following analyzed variables: total bulb yield, marketable bulb yield, average marketable bulb mass and water use efficiency. …”
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Optimization of nano-finned enclosure-shaped latent heat thermal energy storage units using CFD, RSM, and enhanced hill climbing algorithm by Tao Hai, Ihab Omar, As’ad Alizadeh, Neeraj Varshney, Saurav Dixit, Abbas J. Sultan, Ali E. Anqi, Sanjay Bhatnagar, Husam Rajab, Narinderjit Singh Sawaran Singh

“…Abstract Thermal energy storage plays a critical role in improving energy efficiency and sustainability, particularly in solar energy systems, industrial waste heat recovery, and building temperature regulation. …”
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A 3D mixed frame element with multi-axial coupling for thin-walled structures with damage by D. Addessi, P. Di Re

“…An efficient algorithm is formulated for the element state determination, based on a consistent linearization of the governing equations. …”
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Risk-Aware Lane Change and Trajectory Planning for Connected Autonomous Vehicles Based on a Potential Field Model by Tao Wang, Dayi Qu, Kedong Wang, Chuanbao Wei, Aodi Li

“…These candidate trajectories are further assessed using a minimum safety distance model derived from potential field theory, with optimization focusing on safety, comfort, and efficiency. The algorithm is tested in a three-lane curved simulation environment that includes both constant-speed and variable-speed lane change scenarios. …”
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The series solutions of fractional foam drainage and fractional modified regularized long wave problems by Abdul Hamid Ganie, N. S. Alharthi, Adnan Khan, Abdulkafi Mohammed Saeed, Mohd Asif Shah, Saurav Mallik

“…We first translate the problem into its differential partner using the Elzaki transform, and then we use He’s polynomials and the Adomian polynomials that are derived from HPM and ADM, respectively. …”
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EMHD flow and heat transport in cross ternary nanofluid with gyrotactic microorganisms: A case study on thermophoretic particle deposition by Saleh Chebaane, A.M. Obalalu, Amir Abbas, Fizza Anwar, Adnan, Mouloud Aoudia, Badr M. Alshammari, Mohamed Bouzidi, Lioua Kolsi

“…System of PDEs are achieved and reduced to ODEs using appropriate variables. The spectral collocation method based on Appell-Changhee polynomials was utilized to solve ODEs. …”
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Leonardite (Humic and Fulvic Acid Complex) Long-Term Supplementation in Lambs Finished Under Subtropical Climate Conditions: Growth Performance, Dietary Energetics, and Carcass Tra... by Alfredo Estrada-Angulo, Jesús A. Quezada-Rubio, Elizama Ponce-Barraza, Beatriz I. Castro-Pérez, Jesús D. Urías-Estrada, Jorge L. Ramos-Méndez, Yesica J. Arteaga-Wences, Lucía de G. Escobedo-Gallegos, Luis Corona, Alejandro Plascencia

“…Treatment effects were contrasted by orthogonal polynomials. The average climatic conditions that occurred during the experimental period were 31.6 ± 2.4 °C ambient temperature and 42.2 ± 8.1% relative humidity (RH). …”
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