Adsorption–Desorption at Anomalous Diffusion: Fractional Calculus Approach by Ivan Bazhlekov, Emilia Bazhlekova

“…Based on existing analytical solutions of linear time-fractional differential equations, the exact solution in the case of the Henry model is derived in terms of multinomial Mittag–Leffler functions, and its asymptotic behavior is studied. …”
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Fuzzy Model Predictive Control for Unmanned Helicopter by Łukasz Kiciński, Sebastian Topczewski

“…The designed system uses a Parallel Distributed Compensation architecture and utilizes multiple linear dynamics models to precisely model the helicopter’s response in transitioning from hovering to forward flight. …”
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Influence of Solid Waste Oyster Shell Powder on the Physical and Swell–Shrink Properties of Expansive Soils by Daohua Ye, Shiwen Li, Zengyuan Li, Yu Shao, Yuzhu Zhou, Zhen Huang, Linlin Bian

“…The free swelling ratio, unloaded swelling ratio, loaded swelling ratio, swelling force, and linear shrinkage rates of the tested soil decreased with increasing OSP content and stabilized when the OSP content was 9%. …”
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Study on the properties of stretchable belt under deformation by N. V. Vyshinski

“…The purpose of this work is to theoretically study the contact interaction of a pre-stretched flexible elastic tensile belt with a fixed pulley. The case of linear distribution of the specific pressure from the pulley on the belt along the length of the coverage arc is considered. …”
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Convergence analysis of regional literacy rates in India by Jeet Saha, Zafar Iqubal

“…To investigate this, we conduct a convergence analysis using a non-linear factor dynamic model. We analyse the convergence patterns of rural, urban, and total literacy rates and find evidence that Indian states are converging in terms of rural and total literacy rates. …”
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Community design and how much we drive by Wesley E Marshall, Norman W Garrick

“…We employ a spatial kriging analysis of NHTS data in combination with a generalized linear regression model in order to examine the extent to which community design and land use influence VKT in 24 California cities of populations from 30,000 to just over 100,000. …”
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Stability-Indicating RP-HPLC Method for Analysis of Paracetamol and Tramadol in a Pharmaceutical Dosage Form by Rajesh M. Kamble, Shrawan G. Singh

“…The chromatographic resolutions between paracetamol and tramadol were found greater than five. The linear range for paracetamol and tramadol were 20.8–39.0 μg/ml and 2.4–4.5 μg/ ml was obtained with correlation coefficients ≥0.999 for each analyte. …”
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Development and Validation of RP-HPLC Method for the Estimation of Gemifloxacin Mesylate in Bulk and Pharmaceutical Dosage Forms by Yunoos Mohammad, B. Pragati Kumar, Azmath Hussain, Harish

“…The retention time of the drug was found to be 7.47 min and the method produced linear response in the concentration range of 25-150 μg/mL (R∼0.99986). …”
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The changing role between public and private R&D investments in regional innovation: threshold analysis from Guangdong, China by Kaihuang Zhang, Zehong Wang, Qingsheng Yang, Yuxin Wang

“…Our study finds that: (1) The positive effects of both public and private inputs rely on a rich local knowledge base and strong innovation networks. (2) Public inputs effectively contribute to the increase of private inputs, especially for regions in the early stages of a regional innovation system. (3) The relationship between public and private inputs is non-linear, and when public inputs continue to increase beyond a certain point, it will in varying degrees weaken the positive effect of private sector inputs.…”
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Digital Hydraulic Transformer Concepts for Energy-Efficient Motion Control by Helmut Kogler

“…Hydraulic linear drive systems with conventional proportional valves result in poor energy efficiency due to resistance control. …”
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Electrochemical Polymerization of Guaiacol in Organic Solvents and Analytical Performance of the Poly (Guaiacol) Modified Electrode Towards Phenol Antioxidants by László Kiss, Péter Szabó, Sándor Kunsági-Máté

“…The analytical performance of the modified electrode was tested with butylhydroxyanisole and butylhydroxytoluene. Linear sweep voltammetry was applied under stirred conditions, and the noise of stirring diminished compared with the bare electrode, although lower sensitivity was noticed.…”
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Two-Step Colouring of Grid Graphs of Different Types by Alexander Valeryevich Smirnov

“…Also, we present the algorithm, which works in linear time relative to the number of vertices, for the two-step colouring in 7 colours of a triangular grid graph and show that this colouring is always correct. …”
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The Effect of Promotion, Ease of Transaction, and Trust on Purchase Decision of Shopee Pay Later Users by Veronica Agustin Nagayo

“…Data is analyzed by using multiple linear regression analysis. The result of this research shows that in f test, sig value is <0.05, therefore there is positive and significant effect of three variables. …”
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The Shapley Value in Data Science: Advances in Computation, Extensions, and Applications by Lei Qin, Yingqiu Zhu, Shaonan Liu, Xingjian Zhang, Yining Zhao

“…To address the inherent computational challenges of exact calculation, we discuss model-agnostic approximation techniques, such as Random Order Value, Least Squares Value, and Multilinear Extension Sampling, as well as specialized fast algorithms for linear, tree-based, and deep learning models. Recent extensions, such as Distributional Shapley and Weighted Shapley, have broadened the applications to data valuation, reinforcement learning, feature interaction analysis, and multi-party cooperation. …”
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An accurate and efficient measure of welfare tradeoff ratios. by Wenhao Qi, Edward Vul, Lindsey J Powell

“…A participant uses a linear slider to choose from a continuous range of payoff allocations for herself and her social partner. …”
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Multiscale vortical phonons and vorticity wave vortices as coherent excitations in two-dimensional dusty plasma crystals by Wei-Shuo Lo, Chen-Yu Siao, Yi-Cheng Zhao, Lin I

“…However, their fundamental nature and generic behaviors in stochastically driven, disordered multiscale linear waves remain elusive. Here, we utilize two-dimensional crystals supporting thermally excited, multiscale disordered vibrations, as a model system to address these issues. …”
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The Spatial Correlation between the Spread of COVID-19 and Vulnerable Urban Areas in Santiago de Chile by Francisco Vergara-Perucich, Juan Correa-Parra, Carlos Aguirre-Nuñez

“…The second examination/analysis is a multiple linear regression to identify the housing factors that inform virus propagation. …”
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Sustained Magnetic Responses in Temporal Cortex Reflect Instantaneous Significance of Approaching and Receding Sounds. by Dominik R Bach, Nicholas Furl, Gareth Barnes, Raymond J Dolan

“…Sustained magnetic fields over temporal sensors tracked intensity change in complex sounds in an approximately linear fashion, an effect not seen for intensity change in white noise sounds, or for overall intensity. …”
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Bootstrap for finite N lattice Yang-Mills theory by Vladimir Kazakov, Zechuan Zheng

“…The SU(2) Makeenko-Migdal loop equations on the lattice are linear and closed exclusively on single-trace Wilson loops. …”
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Simple Electrochemical Determination of Surface-Active Substances in Natural Waters by Željka Cvrković-Karloci, Damir Krznarić, Marijan Šeruga, Božena Ćosović

“…The capacitive current was recorded for different deposition times in the range 0–120 s, wherefrom the linear calibration plot is constructed. The proposed method was verified for model surfactant TritonX-100 in the concentration range 0.02–0.25 mg/L and for humic acid in the concentration range 1.65–20 mg/L. …”
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