Unveiling the Universe: Tsallis Holographic Dark Energy and Modified Logarithmic f(R) Gravity by Fatemeh Baziar, Jafar Sadeghi

“…To achieve a comprehensive analysis, we employ two distinct scale factor structures: the exponential and the hybrid. The exponential scale factor is known for its simplicity and relevance in cosmological models that exhibit a constant rate of expansion. …”
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Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity by Seung Sook Shin, Sang Deog Park, Byoung Koo Choi

“…Rainfall kinetic energy has been linked to linear, exponential, logarithmic, and power-law functions using rainfall intensity as an independent variable. …”
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Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment by M. G. Sobamowo, G. A. Oguntala, A. A. Yinusa

“…The developed nonlinear thermal models of linear, quadratic, and exponential variation of thermal conductivity are solved approximately and analytically using the differential transformation method (DTM). …”
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Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms by Bingwen Liu, Shuhua Gong

“…Without assuming bounded and monotone conditions on activation functions, we establish sufficient conditions on existence and exponential stability of periodic solutions by using Lyapunov functional method and differential inequality techniques. …”
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Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses by Qiming Liu, Rui Xu

“…Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of M-matrix, and some suitable mathematical transformation. …”
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Mean-Square Almost Periodic Solutions for Impulsive Stochastic Host-Macroparasite Equation on Time Scales by Pan Wang, Qingmei Lin, Yongkun Li

“…By use of the Banach fixed point theorem and Gronwall-Bellman’s inequality technique on time scales, we obtain the existence and exponential stability of mean-square almost periodic solutions for the host-macroparasite equation on time scales. …”
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Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays by Qi Luo, Xinjie Miao, Qian Wei, Zhengxin Zhou

“…We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global exponential stability of trivial equilibrium. The presented algebraic criteria are easily checked and do not require the differentiability of delays.…”
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Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays by Shasha Xie, Zhenkun Huang

“…Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. …”
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Inferential Statistics from Black Hispanic Breast Cancer Survival Data by Hafiz M. R. Khan, Anshul Saxena, Elizabeth Ross, Venkataraghavan Ramamoorthy, Diana Sheehan

“…We used three common model building criteria which include Akaike Information Criteria (AIC), Bayesian Information Criteria (BIC), and Deviance Information Criteria (DIC) to measure the goodness of fit tests and it was found that Black Hispanic female patients survival data better fit the exponentiated exponential probability model. A novel Bayesian method was used to derive the posterior density function for the model parameters as well as to derive the predictive inference for future response. …”
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Growth Phase-Dependent Proteomes of the Malaysian Isolated Lactococcus lactis Dairy Strain M4 Using Label-Free Qualitative Shotgun Proteomics Analysis by Theresa Wan Chen Yap, Amir Rabu, Farah Diba Abu Bakar, Raha Abdul Rahim, Nor Muhammad Mahadi, Rosli Md. Illias, Abdul Munir Abdul Murad

“…Thus, the metabolism of the cells shifted from energy production in the exponential phase to the synthesis of macromolecules in the stationary phase. …”
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Development of a Relationship between Pavement Condition Index and International Roughness Index in Rural Road Network by Sasan Adeli, Vahid Najafi moghaddam Gilani, Mohammad Kashani Novin, Ehsan Motesharei, Reza Salehfard

“…Analysis of the results indicated that exponential regression was the best model to relate IRI and PCI. …”
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Characteristics of the Near-Ground Typhoon Morakot by Yanru Wang, Yongguang Li, Bin Fu, Xu Wang, Chuanxiong Zhang, Guangyu Fan

“…The measured coherence coefficients of the two wind speed components are in good agreement with the exponential function.…”
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Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term by Hazal Yüksekkaya, Erhan Pişkin, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif

“…Then, we discuss the decay of solutions by using Nakao’s technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for negative initial energy under appropriate conditions.…”
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Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons by Chengjun Duan, Qiankun Song

“…By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique and analysis method, several new delay-dependent criteria for checking the boundedness and global exponential stability are established. Illustrated examples are also given to show the effectiveness and less conservatism of the proposed criteria.…”
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Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels by Imran Siddique, Ali Akgül, Hafte Amsalu Kahsay, Teklay Hailay Tsegay, Kahsay Godifey Wubneh

“…In this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics. …”
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The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability by Li Chen-Yu

“…In this paper, we investigate the observability of the fractional resolvent family, and we prove two main results: the first result shows a generalization of the Hautus-type test for observable exponentially stable semigroups to the fractional resolvent family and the second result shows the equivalence of the observability and the below boundedness of the linear operator on the wave packet when the generator conforms to a specific form.…”
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Global stability of delayed Hopfield neural networks under dynamical thresholds by Fei-Yu Zhang, Wan-Tong Li

“…By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability of equilibrium point are derived. …”
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Singularly perturbed Volterra integral equations with weakly singular kernels by Angelina Bijura

“…An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. To analyse this phenomenon, the paper demonstrates the similarity that these solutions have to a special function called the Mittag-Leffler function.…”
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Analysis of Coupling Effect and Heavy Load of High-Temperature Stability of Asphalt Mixture by Lu Bai, Yong-sheng Zhang, Dai-song Luo

“…The results revealed that the dynamic viscosity of an SBS-modified asphalt binder showed an exponential relationship with temperatures varying from 55°C to 70°C. …”
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Interpreting convolutional neural networks' low-dimensional approximation to quantum spin systems by Yilong Ju, Shah Saad Alam, Jonathan Minoff, Fabio Anselmi, Han Pu, Ankit Patel

“…All put together, these allow CNNs to simulate exponential quantum wave functions using a model that scales at most linear in system size as well as provide clues into when CNNs might fail to simulate Hamiltonians. …”
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