Diverse Precise Traveling Wave Solutions Possessing Beta Derivative of the Fractional Differential Equations Arising in Mathematical Physics by Imran Siddique, Arshad M. Mirza, Kausar Shahzadi, M. Ali Akbar, Fahd Jarad

“…In this paper, we obtain the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions for the nonlinear time fractional generalized reaction Duffing model and density dependent fractional diffusion-reaction equation in the sense of beta-derivative by using three fertile methods, namely, Generalized tanh (GT) method, Generalized Bernoulli (GB) sub-ODE method, and Riccati-Bernoulli (RB) sub-ODE method. …”
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High level modeling of Dynamic Reconfigurable FPGAs by Imran Rafiq Quadri, Samy Meftali, Jean-Luc Dekeyser

“…As System-on-Chip (SoC) based embedded systems have become a defacto industry standard, their overall design complexity has increased exponentially in recent years, necessitating the introduction of new seamless methodologies and tools to handle the SoC codesign aspects. …”
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Prolonging the Lifetime of Wireless Sensor Networks Interconnected to Fixed Network Using Hierarchical Energy Tree Based Routing Algorithm by M. Kalpana, R. Dhanalakshmi, P. Parthiban

“…The energy efficiency is further augmented by reducing the packet drops using exponential congestion control algorithm (TCP/EXP). …”
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Convergence Rates of Gradient Methods for Convex Optimization in the Space of Measures by Chizat, Lénaïc

“…Note that all these optimization methods must additionally pay the computational cost of discretization, which can be exponential in $d$.…”
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A Novel Hybrid Algorithm for Transient Near-Field Scattering from Rough Surface in 2-D Case by Wei Tian, Bing Wei, Qian Yang

“…In this paper, the 2-D time-domain Green’s function as the convolution kernel is approximated with a sum of exponential terms by using the Prony’s method. Then, the semianalytical recursive convolution (SARC) approach is applied to complete the update of the near-field radiation. …”
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Classification of Teleseismic Shear Wave Splitting Measurements: A Convolutional Neural Network Approach by Yanwei Zhang, Stephen S. Gao

“…In order to obtain reliable splitting measurements, an essential step is to visually verify all the measurements to reject problematic measurements, a task that is increasingly time consuming due to the exponential increase in the amount of data. In this study, we utilized a convolutional neural network (CNN) based method to automatically select reliable SWS measurements. …”
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Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent by Miguel Alfaro, Guillermo Fuertes, Manuel Vargas, Juan Sepúlveda, Matias Veloso-Poblete

“…This research demonstrates how forecast models built with ANN and SVM have the capacity of making forecasts of good quality, in a superior temporal horizon at the determined interval by the inverse of the maximum Lyapunov exponent or theoretical forecast frontier before deteriorating exponentially.…”
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Quantized <italic>l</italic>&#x2082;-<italic>l</italic>&#x221E; Control for Nonlinear Discrete-Time Systems With DoS Attacks by Ying Tian, Ming-Yang Qiao

“…By defining the mode-dependent Lyapunov function, the design conditions of quantizers and controllers can be obtained to satisfy the system mean-square exponential stability and the desired <inline-formula> <tex-math notation="LaTeX">$l_{2}-l_{\infty }$ </tex-math></inline-formula> performance. …”
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The ratio of hidden HIV infection in Cuba by Miguel Atencia, Esther García-Garaluz, Gonzalo Joya

“…The sensitivity analysis provides an insight into the relative performance of various methods for detection of infected individuals. An exponential regression has been performed to fit the known infected population, owing to actual epidemiological data of HIV/AIDS epidemics in Cuba. …”
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A Bayesian Markov Framework for Modeling Breast Cancer Progression by Tong Wu

“…This study develops a three-state Markov framework to estimate the transition rates between normal, preclinical screen-detectable phase (PCDP), and clinical breast cancer using simulated data. Two exponential models are explored: a five-mode transition model and a six-mode transition model, the latter incorporating exact cancer case timings. …”
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Pricing Vulnerable European Options under Lévy Process with Stochastic Volatility by Chaoqun Ma, Shengjie Yue, Yishuai Ren

“…This paper considers the pricing issue of vulnerable European option when the dynamics of the underlying asset value and counterparty’s asset value follow two correlated exponential Lévy processes with stochastic volatility, and the stochastic volatility is divided into the long-term and short-term volatility. …”
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On the estimation of sequestered infected erythrocytes in Plasmodium falciparum malaria patients by Derdei Bichara, Nathalie Cozic, Abderrahman Iggidr

“…More precisely, we use an auxiliary system, called observer or estimator, whose solutions tend exponentially to those of the original model. This observer uses only the available measurable data, namely, the values of peripheral infected erythrocytes. …”
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High-Bandwidth Chiplet Interconnects for Advanced Packaging Technologies in AI/ML Applications: Challenges and Solutions by Shenggao Li, Mu-Shan Lin, Wei-Chih Chen, Chien-Chun Tsai

“…The demand for chiplet integration using 2.5D and 3D advanced packaging technologies has surged, driven by the exponential growth in computing performance required by artificial intelligence and machine learning (AI/ML). …”
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Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator by Qinwu Xu, Zhoushun Zheng

“…At last, the method is applied to generalized fractional ordinary differential equation and Hadamard-type integral equations, and exponential convergence of the method is confirmed. …”
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Research on Palmprint Identification Method Based on Quantum Algorithms by Hui Li, Zhanzhan Zhang

“…The proposed algorithm exhibits an exponential speed-up compared with discrete Fourier transform in the feature extraction. …”
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L’indispensable accès à internet à la campagne : la capillarisation de l'information au Brésil et en France by Mait Bertollo

“…With the advent of the IoT, the pace of data growth and its speed have increased exponentially, requiring rural establishments and each production stage to be connected to telecommunications networks. …”
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Inflation and Topological Phase Transition Driven by Exotic Smoothness by Torsten Asselmeyer-Maluga, Jerzy Król

“…The expectation value of an area (with respect to some surface) shows an exponential increase; that is, we obtain inflationary behavior. …”
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L’entrepreneurialisme urbain comme mode d’animation : l’espace public madrilène disputé by Valentin Clavé-Mercier

“…Finally, this paper addresses the consequences of exponential development by entrepreneurial dynamics in these two public squares, but also the stakes they represent for Madrid downtown urban renewal, governance and urban life.…”
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PREDICTION OF LOAD LIMIT OF BI-MODULUS COMPOSITES LAMINATED STRUCTURE by HUANG ZheFeng, LI Li, YANG ZengQin, SHANG FuLin, HOU DeMen

“…Plus,damage initiation and its evolution inside laminates were described by three-dimensional Hashin strength criterion and the exponential damage evolution criterion,and the cohesive element was used to describe the interlaminar mechanical behavior. …”
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On the Parametric Stokes Phenomenon for Solutions of Singularly Perturbed Linear Partial Differential Equations by Stéphane Malek

“…The proof rests on the construction of neighboring sectorial holomorphic solutions to the first mentioned equation whose differences have exponentially small bounds in the perturbation parameter (Stokes phenomenon) for which the classical Ramis-Sibuya theorem can be applied. …”
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