A New Random Coefficient Autoregressive Model Driven by an Unobservable State Variable by Yuxin Pang, Dehui Wang

“…The autoregressive coefficient is an unknown function with an unobservable state variable, which can be estimated by the local linear regression method. …”
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3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking by Juanjuan Ji, Yecai Guo, Lanfang Zhang, Lihua Zhang

“…A (2 + 1)-dimensional variable coefficient Korteweg-de Vries (3D VCKdV) equation is first derived in this paper by means of introducing 2-dimensional space and time slow-varying variables and the multiple-level approximation method from the well-known barotropic and quasi-geostrophic potential vorticity equation without dissipation. …”
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A Novel High-Efficiency Variable Parameter Double Integration ZNN Model for Time-Varying Sylvester Equations by Zhe Peng, Yun Huang, Hongzhi Xu

“…In this paper, a High-Efficiency Variable Parameter Double Integration Zeroing Neural Network (HEVPDIZNN) model combining variable parameter function and double integration is proposed to solve the time-varying Sylvester matrix equations, using the decreasing function with a large initial value as the variable parameter. …”
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Secure mobile agents for efficient medical information retrieval: A verifiable variable threshold secret sharing approach. by Pradeep Kumar, Sur Singh Rawat, Kakoli Banerjee, Ayodeji Olalekan Salau, Gyanendra Kumar, Niraj Singhal

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VEGETATIVE PROVISION INDICATORS OF CARDIOVASCULAR SYSTEM AND PHYSICAL EFFICIENCY OF WOMEN ATHLET-SPRINTERS by M. V. Didenko, E. L. Mikhalyuk, S. N. Malakhova

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A novel analytical treatment for the Ambartsumian delay differential equation with a variable coefficient by Rana M. S. Alyoubi, Abdelhalim Ebaid, Essam R. El-Zahar, Mona D. Aljoufi

“…The Ambartsumian delay differential equation with a variable coefficient is considered in this paper. An effective transformation is produced to convert the extended Ambartsumian equation to the pantograph model. …”
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Periodic Oscillation of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delay and Variable Coefficients by Hongjun Xiang, Jinde Cao

“…A class of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients is discussed. It is neither employing coincidence degree theory nor constructing Lyapunov functionals, instead, by applying matrix theory and inequality analysis, some sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and global exponential stability of the periodic solution for the fuzzy Cohen-Grossberg neural networks. …”
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Improvement of Multi-functional Air-conditioning Water Heaters by Wang Haifeng, Li Yuduo, Yuan Huihui, Sun Yajuan, Zhang Shoubing, Dong Shanshan

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Monitoring of Energy Efficiency of District Heating System Facilities: Methodology for Determining the Energy Baseline by Davydenko L.V., Davydenko N.V., Davydenko V.A., Sprake D.

“…This methodology was applied to a boiler house of a district heating system. Relevant variables were formed using a three-stage selection of fac-tors that influence the gas consumption efficiency of the boiler house. …”
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Variable power functional dilution adjustment of spot urine by Thomas Clemens Carmine

“…This study introduces a novel variable power functional creatinine correction method (V-PFCRC) to normalize analytes to 1 g/L CRN by utilizing uncorrected analyte levels and two analyte-specific coefficients, c and d. …”
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Research on Variable Circulation Design Method and Internal Flow Characteristic of the Axial Flow Pump by Xuewei Yu, Qili Gan, Zifan Ling, Jiahui Gong, Jiajia Tang, Lijian Shi

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Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity by Hongcai Ma, Xinru Qi, Aiping Deng

“…Under the help of the wave ansatz method, we obtain the exact soliton solutions to the variable-coefficient KdV system, such as the dark and bright soliton solutions, Tangent function solution, Secant function solution, and Cosine function solution. …”
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Propagation Properties of Laguerre–Gaussian Beams with Three Variable Coefficient Modulations in the Fractional Schrödinger Equation by Xinru Hao, Yong Liang, Min Zou, Bin Zhong, Chao Tan

“…This article investigates the transmission characteristics of Laguerre–Gaussian (LG) beams under cosine modulation, power function modulation and linear modulation based on the variable coefficient fractional Schrödinger equation (FSE), respectively. …”
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Calculation of heating laminar fluid flow with variable heat transfer coefficient on the surface of circular channel by U. V. Vidin, V. S. Zlobin, R. V. Kazakov

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Variable step-size LMS algorithm with hybrid weight coefficients based on the Rayleigh distribution curve by CHEN Dongwei, LIU Weidong, ZHANG Mingyi, JIN Mengzhe, FANG Qingyuan

“…The impact of the new variable step function parameters <italic>α</italic>, <italic>β</italic>, <italic>γ</italic> and the hybrid filter weight coefficient <italic>W</italic>(<italic>n</italic>) on the proposed algorithm performance and interference suppression analysis were discussed in detail. …”
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Lie Group Classification of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations by Christodoulos Sophocleous

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Novel Nonlinear Dynamical Solutions to the (2 + 1)‐Dimensional Variable Coefficients Equation Arise in Oceanography by Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Harivan R. Nabi, Shams Forruque Ahmed

“…The assistance of the Hirota bilinear method secures different forms of multiple solitons and M‐lump waves, such as one‐, two‐, and three‐soliton, by using different functions of variable coefficients. Moreover, the long‐wave technique is under consideration when analyzing hybrid solutions, namely mixed soliton‐lump, two‐soliton‐lump, and soliton‐two‐lump solutions. …”
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VBP-YOLO-prune: Robust apple detection under variable weather via feature-adaptive fusion and efficient YOLO pruning by Haohai You, Hao Wang, Zhanchen Wei, Chunguang Bi, Lijuan Zhang, Xuefang Li, Yingying Yin

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The program for estimation non-elementary linear regressions with two variables using ordinary least squares by M. P. Bazilevskiy, D. V. Karbusheva

“…The aim of this article is to develop a program for approximate estimation of regression models specified on the basis of the Leontief production function (non-elementary regressions with two variables) and use it for modeling the unemployment rate in the Irkutsk region.Method. …”
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Addressing Challenges in Simulating Inter–Annual Variability of Gross Primary Production by Ranit De, Shanning Bao, Sujan Koirala, Alexander Brenning, Markus Reichstein, Torbern Tagesson, Michael Liddell, Andreas Ibrom, Sebastian Wolf, Ladislav Šigut, Lukas Hörtnagl, William Woodgate, Mika Korkiakoski, Lutz Merbold, T. Andrew Black, Marilyn Roland, Anne Klosterhalfen, Peter D. Blanken, Sara Knox, Simone Sabbatini, Bert Gielen, Leonardo Montagnani, Rasmus Fensholt, Georg Wohlfahrt, Ankur R. Desai, Eugénie Paul‐Limoges, Marta Galvagno, Albin Hammerle, Georg Jocher, Borja Ruiz Reverter, David Holl, Jiquan Chen, Luca Vitale, M. Altaf Arain, Nuno Carvalhais

“…Both models simulated hourly GPP and were parameterized for (a) each site–year, (b) each site with an additional constraint on IAV (CostIAV), (c) each site, (d) each plant–functional type, and (e) globally. This was followed by forward runs using calibrated parameters, and model evaluations using Nash–Sutcliffe efficiency (NSE) as a model‐fitness measure at different temporal scales across 198 eddy‐covariance sites representing diverse climate–vegetation types. …”
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