On Dimension Extension of a Class of Iterative Equations by Juan Su, Xinhan Dong

“…This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). …”
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Anisotropic Bulk Viscous String Cosmological Model in a Scalar-Tensor Theory of Gravitation by D. R. K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana Vijaya

“…Exact solution of the highly nonlinear field equations is obtained using the following plausible physical conditions: (i) scalar expansion of the space-time which is proportional to the shear scalar, (ii) the barotropic equations of state for pressure and energy density, and (iii) a special law of variation for Hubble’s parameter proposed by Berman (1983). …”
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Modelling Decision-Making Processes in the Management Support of the Manufacturing Element in the Logistic Supply Chain by Robert Bucki, Petr Suchánek

“…Control algorithms as well as manufacturing strategies are explained. The equations of state are introduced. The two-stage criterion lets us use the result data generated by the simulator of the production system as the initial data for further processing; however, the main goal remains to minimise the time of the course of production. …”
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Stability Analysis of a Class of Neural Networks with State-Dependent State Delay by Yue Chen, Jin-E Zhang

“…The differential equations with state-dependent delay are very important equations because they can describe some problems in the real world more accurately. …”
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Robust Predictive Functional Control for Flight Vehicles Based on Nonlinear Disturbance Observer by Yinhui Zhang, Huabo Yang, Zhenyu Jiang, Fan Hu, Weihua Zhang

“…Firstly, the nonlinear longitudinal dynamics of the flight vehicle are transformed into linear-like state-space equations with state-dependent coefficient matrices. And then the lumped disturbances are considered in the linear structure predictive model of the predictive functional control to increase the precision of the predictive output and resolve the intractable mismatched disturbance problem. …”
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Investigation of Aerodynamic Characteristics of Aircrafts in a Rarefied Gas Flow Using the Moment Method by Auzhan Sakabekov, Saltanat Madaliyeva, Ryskul Yergazina

“…The quantity of macroscopic boundary conditions for the moment system of equations depends on the parity of the approximation number of the moment system of equations. We state the initial and boundary value problem for the moment system of equations in the third approximation under macroscopic boundary conditions. …”
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Quark Stars in Generalized Hybrid Metric-Palatini Gravity by Reyhaneh Aliannejadi, Zahra Haghani

“…We investigate the physical properties of quark stars with two different equations of state in generalized hybrid metric-Palatini gravity. …”
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Adsorption and Interfacial Properties of the Cationic Gemini Surfactant of Ethanediyl-α,β-Bis(Cetyldimethylammonium Bromide) by Wen-Sheng Liao, Zhi-Chu Bi

“…The experimental curve was close to the orientation and interaction models of the surface equations of state. In comparison to conventional cationic surfactants, 16-2-16 has a very low critical micellar concentration (cmc), a higher level of surface adsorption and a lower adsorption molecular area. …”
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A comprehensive analysis of stable configurations of nonrotating BTZ-ModMax thin-shell wormholes by Faisal Javed, Arfa Waseem, Sobia Sadiq, G. Mustafa

“…Here, we use different types of matter distribution characterized by distinct equations of state. It is noted that the thin-shell wormhole configurations containing quintessence-like matter have more stability, whereas configurations with phantom energy demonstrate unstable behavior. …”
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THE ALGORITHM FOR CORRECTING A MODE OF THE POWER SUPPLY SYSTEM THAT TAKES THE TRANSFORMATIONS AND HETEROGENEITY OF THE NETWORK INTO ACCOUNT by O. I. Alexandrov

“…Its complexity is due to the dynamics and nonlinearity of equations of state of an electrical network, recorded as related to node voltages, and also due to multiply connected network elements. …”
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Determination of the solubility of methyldopa in supercritical carbon dioxide for drug delivery applications: thermal analysis by Adil Farooq Wali, Sathvik Belagodu Sridhar, Sirajunisa Talath, Jayachithra Ramakrishna Pillai, Javedh Shareef, Mullaicharam Bhupathyraaj, B. K. Manjunatha Goud, Umme Hani

“…., Mendez-Santiago, & Teja, and Kumar-Johnston) and two equations of state (Peng-Robinson and Soave-Redlich-Kwong) were used to correlate drug solubility. …”
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Phase-transition-induced Collapse of Proto-compact Stars and Its Implication for Supernova Explosions by Xu-Run Huang, Shuai Zha, Ming-chung Chu, Evan P. O’Connor, Lie-Wen Chen

“…We systematically explore the outcomes of the PT-induced collapse of mock proto-compact stars (PCSs) with a constant entropy and lepton fraction, with spherically symmetric general relativistic hydrodynamic simulations and a controlled series of hybrid equations of state. Our results reveal the qualitative dependence of successful and failed explosions on the PT and quark matter characteristics. …”
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Determination of 5-fluorouracil anticancer drug solubility in supercritical CO 2 using semi-empirical and machine learning models by Gholamhossein Sodeifian, Ratna Surya Alwi, Reza Derakhsheshpour, Nedasadat Saadati Ardestani

“…Three models with different approaches were applied to correlate and model the experimental data set: (i) seven density-based models, (ii) PR equations of state (vdW2 mixing rule), and (iii) machine learning-based models, namely non-linear regressions, Random Forest, Gradient Boosting, Decision Tree, and Kernel Ridge. …”
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Integral Method for Determining the Stress State of an Anisotropic Reinforced Concrete Shell by Eugene M. Zveryaev

“…The equilibrium equations of the moment theory in forces and moments, geometric equations, components of tangential deformation and displacement, and the physical equations of state connecting them, expressing forces and moments through the components of deformation, are presented, since the characteristics of the stress-strain state of the shell depend not only on the variability of external influences and forces, but also on the length of the structure. …”
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A Pseudopotential Lattice Boltzmann Method for Simulation of Two-Phase Flow Transport in Porous Medium at High-Density and High–Viscosity Ratios by Eslam Ezzatneshan, Reza Goharimehr

“…The accuracy and robustness of the S-C LBM are examined by the implementation of the single relaxation time (SRT) and multiple relaxation time (MRT) collision operators with integrating the forcing schemes of the shifted velocity method (SVM) and the exact difference method (EDM). Herein, two equations of state (EoS), namely, the standard Shan-Chen (SC) EoS and Carnahan-Starling (CS) EoS, are implemented to assay the performance of the numerical technique employed for simulation of two-phase flows at high-density ratios. …”
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