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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Solutions of Bessel’s Differential Equations by Variable Change Method by Beyalfew Anley, Daba Meshesha Gusu, Tolosa Nigussie

“…In this article, the solutions of Bessel’s differential equations (DEs) by variable change method are formulated. To do so, we have considered the first and second kind of Bessel’s functions which are obtained as solutions of Bessel’s equations and it is used to determine the solutions of the lengthening pendulum (LP). …”
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Measuring the Efficiency and Productivity of Cement Companies in the Tehran Stock Exchange Using Data Envelopment Analysis and Malmquist Productivity Index in Gray Environment by Farjam Kayedppour, Shadi Sayadmanesh, Yasamin Salmani, Zahra Sadeghi

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Variable-Rate Incremental-Redundancy HARQ for Finite Blocklengths by Yu Fu, Angel Lozano, Hongwen Yang

“…The optimization relies on a finite-blocklength information-theoretical analysis, whereby the block error rate emerges as a function of the channel capacity and the channel dispersion. …”
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Variable Selection and Parameter Estimation with the Atan Regularization Method by Yanxin Wang, Li Zhu

“…Many variable selection techniques may be implemented by penalized least squares using various penalty functions. …”
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Intelligent trajectory tracking algorithm for autonomous robots under membrane computing by YAO Jiangyun, WU Fangyuan

“…Finally, based on the multi-step parallel membrane structure, a feasible autonomous robot trajectory path was found, and a sliding mode variable structure function was used to design the control rate. …”
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Energy-Efficient Office Renovation by Minyoung KWON

“… This research aims to develop user-focused design principles for energy-efficient office renovations. The goal of this is to improve the quality and comfort of workspaces without compromising on energy-saving goals. …”
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Modular and efficient assembly of CRISPR vectors and construction of an apple gene editing efficiency evaluation system by HOU Feifan, HUANG Chuanmi, HAO Pengbo, CONG Liu, BAI Tuanhui, SHI Jiangli, WANG Miaomiao, LIU Yu, ZHAO Yujie, WAN Ran, SHEN Yawen, ZHANG Hengtao, ZHANG Kunxi, ZHENG Xianbo, JIAO Jian

“…Furthermore, vacuum infiltration mediated transient transformation of apple leaves confirmed PDS gene editing through RT-PCR amplification and Sanger sequencing of target loci, and preliminarily evaluated the editing efficiency of gRNAs targeting the apple PDS gene. The experimental data demonstrated variable editing efficiencies among distinct gRNAs. …”
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Two-point boundary value problem for a partial differential equation in spaces of periodic functions by V.S. Ilkiv, Z.M. Nytrebych, P.Y. Pukach, M.I. Vovk

“…We investigate the two-point in time boundary value problem for the partial differential equations of the second-order with one spatial variable and constant coefficients. The problem is considered in in the spaces of functions which Fourier coefficients are characterized by exponential behavior on the Cartesian product of the time interval and spatial domain $\mathbb{R}/2\pi\mathbb{Z}$. …”
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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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Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness by Liu Xiangdong, Hou Xiaoli, Bai Bin, Zeng Maolin

“…In order to improve the performance and efficiency of the rotating cylindrical shell (RCS), one of the effective ways reduces the mass of the RCS. …”
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The acoustic wave generation by a thin layer with variable temperature by Roman DYBA, Bronisław ŻÓŁTOGÓRSKI

“…It was shown that, in view of the low efficiency of the temperature—pressure conversion, it is necessary to generate large layer temperature changes to obtain the mean values of sound intensity, whereas the maximum of the modulus of the transmittance function of the source occurs even for very thin layers. …”
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Bistable variable stiffness laminates - novel manufacturing and modeling strategies by P.M. Anilkumar, A. Haldar, G. Clancy, S. Scheffler, B.N. Rao, P.M. Weaver, R. Rolfes

“…Bistable laminates offer a path to energy-efficient and multi-functional structures, with potential applications in various engineering domains. …”
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Refined matrix completion for spectrum estimation of heart rate variability by Lei Lu, Tingting Zhu, Ying Tan, Jiandong Zhou, Jenny Yang, Lei Clifton, Yuan-Ting Zhang, David A. Clifton

“…Heart rate variability (HRV) is an important metric in cardiovascular health monitoring. …”
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NIRSpredict: a platform for predicting plant traits from near infra-red spectroscopy by Axel Vaillant, Grégory Beurier, Denis Cornet, Lauriane Rouan, Denis Vile, Cyrille Violle, François Vasseur

“…Summary Near-infrared spectroscopy (NIRS) has become a popular tool for investigating phenotypic variability in plants. We developed the Shiny NIRSpredict application to get predictions of 81 Arabidopsis thaliana phenotypic traits, including classical functional traits as well as a large variety of commonly measured chemical compounds, based from near-infrared spectroscopy values based on deep learning. …”
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MONITORING OF THE CURRENT STATUS OF STUDENTS AS A MEANS OF INCREASING THE EFFECTIVENESS OF EDUCATIONAL PROCESS by M. V. Alyushin, L. V. Kolobashkina

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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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