Interaction between Dark Matter and Dark Energy and the Cosmological Coincidence Problem by Kourosh Nozari, Noushin Behrouz, Narges Rashidi

“…We consider a quintessence model of dark energy inspired by scalar-tensor theories of gravity where the scalar field is nonminimally coupled to gravity and dark matter. By considering exponential potential as self-interaction potential, the stability and existence of the critical points are discussed in details. …”
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Dividend Problems with a Barrier Strategy in the Dual Risk Model until Bankruptcy by Donghai Liu, Zaiming Liu

“…Moreover, when the gain size distribution is exponential, explicit solutions for the expected dividend payments and the bankruptcy probability are obtained for constant bankruptcy rate function. …”
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PERSONALIZATION OF BANKING SERVICES BASED ON OPEN SOURCE ANALYSIS VIA USE OF BIG DATA by E. Zaytseva

“…The need to build a platform for personalization of the client’s offer is due to the exponential growth of information and banks’ desire to go digital. …”
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Optimization of the New Index Reaching Law of the Active Suspension Sliding Mode Controller Based on the Cuckoo Search Algorithm by Shouwei Wei, Xiaoyu Su

“…Then, according to the features of the new exponential reaching law, an active sliding mode control scheme based on the new sliding mode reaching law is designed. …”
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Improvement of equivalent power consumption coding secure against power analysis attacks by WU Zhen, CHEN Yun, WANG Min, CHEN Jun

“…Equivalent power consumption coding algorithm not only could improve algorithm efficiency,but also could be against the power analysis attacks.But it had weaknesses in all-zero exponential segment because of a defect of pseudo-operation design.So a new pseudo-operation was proposed to improve the algorithm’s security.And a rapid im-plementation using Montgomery algorithm was presented too.It could accelerate the operation with no-lower safety.The research’s validity is proved in the real power testing platform.…”
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Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach by Sladjana D. Marinković, Miomir S. Stanković, Predrag M. Rajković

“…The one-parameter deformed exponential function was introduced as a frame that enchases a few known functions of this type. …”
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Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity by Fuzhen Wu

“…By constructing upper and lower solutions appealing to the exponential ordering, we prove the existence of traveling wave solutions if the wave speed is not smaller than some threshold. …”
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Future Therapies of Wet Age-Related Macular Degeneration by Makoto Ishikawa, Daisuke Jin, Yu Sawada, Sanae Abe, Takeshi Yoshitomi

“…Age-related macular degeneration (AMD) is the leading cause of blindness in the elderly population, and the prevalence of the disease increases exponentially with every decade after the age of 50 years. …”
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LMI-Based Stability Criteria for Discrete-Time Neural Networks with Multiple Delays by Hui Xu, Ranchao Wu

“…By Lyapunov stability theory and techniques such as linear matrix inequalities, sufficient conditions guaranteeing the existence and global exponential stability of the unique equilibrium point are obtained. …”
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Invasive and Ultrasound Based Monitoring of the Intracranial Pressure in an Experimental Model of Epidural Hematoma Progressing towards Brain Tamponade on Rabbits by Konstantinos Kasapas, Angela Diamantopoulou, Nicolaos Pentilas, Apostolos Papalois, Emmanuel Douzinas, Gregorios Kouraklis, Michel Slama, Abdullah Sulieman Terkawi, Michael Blaivas, Ashot Ernest Sargsyan, Dimitrios Karakitsos

“…The relationship between the ultrasound variables and ICP was exponential; thus curved prediction equations of ICP were used. …”
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Analysis of Non-linear Relationship of PM2.5 Mass Concentration with Aerosol Extinction Coefficient and RH in Hefei, China by Yinan Chen, Shiguo Zhang, Yonghua Wu, Kee Yuan, Jian Huang, Dongfeng Shi, Shunxing Hu

“…The measured PM2.5 in 2020 was used to refine the exponential factors relevant to the large aerosol extinction coefficient and RH in the analytical function. …”
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Integrated Photonic Neural Networks for Equalizing Optical Communication Signals: A Review by Luís C. B. Silva, Pablo R. N. Marciano, Maria J. Pontes, Maxwell E. Monteiro, Paulo S. B. André, Marcelo E. V. Segatto

“…The demand for high-capacity communication systems has grown exponentially in recent decades, constituting a technological field in constant change. …”
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Reflection of Multiple Loading in The Deformation Model for Reconstructed Reinforced Concrete by V. G. Murashkin

“…Existing diagrams of concrete deformation are focused on designing new structures and are not adapted to the concretes of the reconstructed structures.Using the exponential model of concrete deformation makes it possible to describe the resistance of concrete during reconstruction, including after repeated cyclic loading.A technique for creating an individual deformations model under cyclic load during the reconstruction is demonstrated on a specific example.…”
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Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source by Fengyun Zhang

“…As time goes to infinity, we prove that the solution is global and energy decays to zero in two different ways: the exponential form and the polynomial form.…”
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Aspects of nonlinear effect on black hole superradiance by Hajime Fukuda, Kazunori Nakayama

“…Abstract Under some conditions, light boson fields grow exponentially around a rotating black hole, called the superradiance instability. …”
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Poisson Denoising for Astronomical Images by Fahad Shamshad, M. Mohsin Riaz, Abdul Ghafoor

“…The scheme employs the concept of Exponential Principal Component Analysis and sparsity of image patches. …”
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Linear and structural stability of a cell division process model by Vladimir Balan, Ileana Rodica Nicola

“…The paper investigates the linear stability of mammalian physiology time-delayed flow for three distinct cases (normal cell cycle, a neoplasmic cell cycle, and multiple cell arrest states), for the Dirac, uniform, and exponential distributions. For the Dirac distribution case, it is shown that the model exhibits a Hopf bifurcation for certain values of the parameters involved in the system. …”
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Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type by W. Weera, P. Niamsup

“…We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. …”
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Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms by Jinhua Huang, Jiqing Liu, Guopeng Zhou

“…By means of Poincaré inequality and Gronwall-Bellman-type impulsive integral inequality, we summarize some new and concise sufficient conditions ensuring the global exponential stability of equilibrium point. The proposed criteria are relevant to the diffusion coefficients and the smallest positive eigenvalue of corresponding Dirichlet Laplacian. …”
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Bayesian Analysis for a Fractional Population Growth Model by Francisco J. Ariza-Hernandez, Jorge Sanchez-Ortiz, Martin P. Arciga-Alejandre, Luis X. Vivas-Cruz

“…We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an approximation of Bayes factor. …”
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