Noether symmetries, solutions and conserved quantities of a new (3+1)-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion: Multi-analytical ap... by Oke Davies Adeyemo

“…In consequence, one achieves both complex and non-complex exponential function solutions. Additionally, the physical meaning of the results is put on the front burner by revealing the wave dynamics of these solutions.…”
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Effect of Velocity Slip Boundary Condition on the Flow and Heat Transfer of Cu-Water and TiO2-Water Nanofluids in the Presence of a Magnetic Field by Abdelhalim Ebaid, Fahd Al Mutairi, S. M. Khaled

“…The exact expression for the fluid velocity is obtained in terms of the exponential function, while an effective analytical procedure is suggested and successfully applied to obtain the exact temperature in terms of the generalized incomplete gamma function. …”
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Legal Regulations and the Perspectives of Renewable Energy Policy in Selected EU Member States by Eleonóra Marišová, Ján Gaduš, Martin Mariš, Agnieszka Parlińska

“…To achieve the main aim of the paper it was decided to apply Brown triple exponential smoothing model as a main research method. …”
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Observed Sprite Streamer Growth Rates by H. C. Stenbaek‐Nielsen, M. G. McHarg, N. Y. Liu

“…The initial velocity increase is exponential as predicted by theory. Growth rates could be determined for 76 downward and 46 upward propagating streamers, and, in individual streamers, they are independent of altitude. …”
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Determination of generations X, Y, Z user preferences in the Russian mobile application market by E. S. Bozhenko, D. M. Nikolaeva, K. O. Svistunova

“…The mobile application market appears to be dynamic and fast-growing in an environment of exponential growth in consumer demand and a highly competitive environment. …”
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Models for Strength Prediction of High-Porosity Cast-In-Situ Foamed Concrete by Wenhui Zhao, Junjie Huang, Qian Su, Ting Liu

“…The compressive strength increases exponentially with the increase in the ratio of the dry density to the solid density and increases with the curing time following the composite function A2ln⁡tB2 for all three types of foamed concrete. …”
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Vehicle Information Influence Degree Screening Method Based on GEP Optimized RBF Neural Network by Jingfeng Yang, Nanfeng Zhang, Ming Li, Yanwei Zheng, Li Wang, Yong Li, Ji Yang, Yifei Xiang, Lufeng Luo

“…At the same time, with the progress in the field of vehicle hardware, a number of studies have reported exponential growth in the actual operation. To solve the problem for a large number of data transmissions in an actual operation, wireless transmission is proposed for text information (including position information) on the basis of the principles of the maximum entropy probability and the neural network prediction model combined with the optimization of the Huffman encoding algorithm, from the exchange of data to the entire data extraction process. …”
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Compartmental Models Driven by Renewal Processes: Survival Analysis and Applications to SVIS Epidemic Models by Divine Wanduku, Md Mahmud Hasan

“…Abstract Compartmental models with exponentially distributed lifetime stages assume a constant hazard rate, limiting their scope. …”
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Correlation of Surface Cracks of Concrete due to Corrosion and Bond Strength (between Steel Bar and Concrete) by Charis Alk. Apostolopoulos, Konstantinos F. Koulouris, Alkiviadis Ch. Apostolopoulos

“…The model outcomes showed that the cracking development on concrete surface up to a width of 1.6 mm is accompanied by an exponential reduction of bond strength loss between steel reinforcement and concrete. …”
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A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis by Isabella Bordi, Renato Umeton, Vito A. G. Ricigliano, Viviana Annibali, Rosella Mechelli, Giovanni Ristori, Francesca Grassi, Marco Salvetti, Alfonso Sutera

“…We show that relapses and remissions follow exponential decaying distributions, excluding periodic recurrences and confirming that relapses manifest randomly in time. …”
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Novel Ensemble Approach with Incremental Information Level and Improved Evidence Theory for Attribute Reduction by Peng Yu, Yifeng Zheng, Ziwen Liu, Baoya Wei, Wenjie Zhang, Ziqiong Lin, Zhehan Li

“…With the development of intelligent technology, data in practical applications show exponential growth in quantity and scale. Extracting the most distinguished attributes from complex datasets becomes a crucial problem. …”
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Infectious disease phylodynamics with occurrence data by Leo A. Featherstone, Francesca Di Giallonardo, Edward C. Holmes, Timothy G. Vaughan, Sebastián Duchêne

“…In contrast, the coalescent exponential model is robust to such sampling biases, but in the absence of a sampling model it cannot exploit occurrence data. …”
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Hybrid Optimization-Based Approach for Multiple Intelligent Vehicles Requests Allocation by Ahmed Hussein, Pablo Marín-Plaza, Fernando García, José María Armingol

“…Therefore, the necessity of cooperative driving for these automated vehicles is exponentially increasing. One of the main issues in the cooperative driving world is the Multirobot Task Allocation (MRTA) problem. …”
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Effects of Interface Damage Resulting from the Separation of Layered Strata on Bolt Anchoring Systems by Xiaowei Feng, Nong Zhang, Chuangxin Lv

“…In this case, the support strength increases exponentially as the separation increases. Separation at the free loading end dramatically decreases the support strength. …”
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CHF Phenomena by Photographic Study of Boiling Behavior due to Transient Heat Inputs by Jongdoc Park, Katsuya Fukuda, Qiusheng Liu

“…The transient boiling heat transfer characteristics in a pool of water and highly wetting liquids such as ethanol and FC-72 due to an exponentially increasing heat input of various rates were investigated using the 1.0 mm diameter experimental heater shaped in a horizontal cylinder for wide ranges of pressure and subcooling. …”
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Maximizing Banking Profit on a Random Time Interval by J. Mukuddem-Petersen, M. A. Petersen, I. M. Schoeman, B. A. Tau

“…In particular, we determine an analytic solution for the associated Hamilton-Jacobi-Bellman (HJB) equation in the case where the utility functions are either of power, logarithmic, or exponential type. Furthermore, we analyze certain aspects of the banking model and optimization against the regulatory backdrop offered by the latest banking regulation in the form of the Basel II capital accord. …”
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Fracture precursor phenomena in marble specimens under uniaxial compression by means of Acoustic Emission data by Dimos Triantis, Stavros Kourkoulis

“…During the first seconds of the stress stabil­iz­ation stage the reduction follows an exponential law. Special attention is paid to the phases, where the occurrence of AE hits shows a strong increase. …”
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The Role of Technology in COVID-19 Pandemic Management and Its Financial Impact by Jin Zhao, Zubair Ahmad, Saima K. Khosa, M. Yusuf, Osama Abdulaziz Alamri, Mohamed S. Mohamed

“…In this article, we present a mathematical data visualization approach for analyzing pandemic data behaviors, such as exponential growth and deviations using the data related to COVID-19 events. …”
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Energy-space random walk in a driven disordered Bose gas by Zhang, Yansheng, Martirosyan, Gevorg, Ho, Christopher Junhong, Etrych, Jiří, Eigen, Christoph, Hadzibabic, Zoran

“…Motivated by the experimental observation [1] that driving a non-interacting Bose gas in a 3D box with weak disorder leads to power-law energy growth, $E \propto t^{\eta }$ with $\eta =0.46(2)$, and compressed-exponential momentum distributions that show dynamic scaling, we perform systematic numerical and analytical studies of this system. …”
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Plant-Derived Iron Nanoparticles for Removal of Heavy Metals by Deepika Thilakan, Jaie Patankar, Srushti Khadtare, Nilesh S. Wagh, Jaya Lakkakula, Khalid Mohamed El-Hady, Saiful Islam, Md. Rabiul Islam, Mohd Shahnawaz Khan, Nouf Omar Alafaleq, Mohammad Tarique

“…Nanoparticle synthesis has seen exponential development recently as its characteristics of high surface area, high rate of adsorption, and easy, cost-effective synthesis have been exploited for the purpose of ground water purification via the removal of organic and inorganic compounds, along with the removal of heavy metals and microbes. …”
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