Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales by Yongkun Li, Chao Wang

“…Then, based on these, we study the existence and uniqueness of almost periodic solutions and derive some fundamental conditions of admitting an exponential dichotomy to linear dynamic equations. Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.…”
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Wealth Distribution Involving Psychological Traits and Non-Maxwellian Collision Kernel by Daixin Wang, Shaoyong Lai

“…We obtain an entropy explicit stationary solution that exhibits exponential convergence to a lognormal wealth distribution. …”
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Analysis of the Dynamics of a $\phi^{6}$ Duffing Type Jerk System by Ulises Uriostegui-legorreta, Eduardo Salvador Tututi-hernández, Alejandro Bucio

“…The dynamics of system with potential smoothed was studied by varying the smoothing parameter $\alpha$, finding that this parameter can be used to controlling chaos, since the exponential factor keeps the same fixed points and it regulates smoothly the amplitude of the potential.…”
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Improving authenticity and provenance in digital biomarkers: the case for digital watermarking by Arjun Mahajan, Dylan Powell

“…Enabled by the rapid rise in data collected by technologies, Digital Biomarkers (DBx) have emerged as a novel mechanism for assessment, diagnosis, and monitoring. However, the exponential growth and ability to generate new data has also raised questions about ways of ensuring the authenticity and accuracy of digital data. …”
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Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime by Jie Yang, Xia Ma, Caiyun Liu

“…The main goal of this paper is to study blow-up of solutions of a weakly coupled system for semilinear wave equations with damping terms and mass terms in the de Sitter spacetime. The exponential, polynomial, and logarithmic growth of time-dependent factors in nonlinear terms are investigated by using iterative methods, respectively. …”
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Performance Evaluation of FSO Communications under Sand-Dust Conditions by Minghua Cao, Huiqin Wang, Yu Yao, Shanglin Hou

“…Furthermore, the signal attenuation follows a negative exponential distribution to the laser wavelength. Superior performance can be achieved by employing a longer wavelength laser to reduce pulse delay and mutual interference.…”
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Portfolio Selection with Liability and Affine Interest Rate in the HARA Utility Framework by Hao Chang, Kai Chang, Ji-mei Lu

“…The investors wish to look for an optimal investment strategy to maximize the expected utility of the terminal surplus under hyperbolic absolute risk aversion (HARA) utility function, which consists of power utility, exponential utility, and logarithm utility as special cases. …”
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Predictions for 2025: Artificial Intelligence in Modern Drug Development, Quantum Proof Encryption, and Health Data Monetization by Ingrid Vasiliu-Feltes MD, EMBA, Jennifer Hinkel, MSc, CHW, FRSA, Olga Kubassova, PhD

“…We are witnessing an unprecedented convergence of scientific discoveries, technology innovations, exponential adoption of technology and remarkable population demographic shifts towards a digitally native society. …”
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On the Expected Discounted Penalty Function for a Markov Regime-Switching Insurance Risk Model with Stochastic Premium Income by Wenguang Yu

“…Applications of the integral equations are given to be the Laplace transform of the time of ruin, the deficit at ruin, and the surplus immediately before ruin occurs. For exponential distribution, the explicit expressions for these quantities are obtained. …”
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Resource management in sliced networks with mobile edge computing for B5G and 6G by Qian SUN, Lin TIAN, Yiqing ZHOU, Chen FENG, Yuanyuan WANG, Jihua ZHOU

“…With the time-delay sensitive compute-intensive tasks growing exponentially, 5G and future 6G mobile cellular communication networks will form differentiated network slices with edge computing resource to service the multiple communication services.To achieve this, the wireless frequency and edge computing resources will be shared among the network slices, thus the efficient management of the resources is of great importance.The demands of resources management in the life duration of the network slice was analyzed.Then the research progress of the corresponding technologies for slices, i.e., access control, resources allocation and stimulating cooperation among terminals, were summarized.And the open research issue was given.Thus, the resources are managed efficiently for the slices with edge computing resource.…”
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The Diophantine Equation 8x+py=z2 by Lan Qi, Xiaoxue Li

“…Using certain results of exponential Diophantine equations, we prove that (i) if p≡±3(mod  8), then the equation 8x+py=z2 has no positive integer solutions (x,y,z); (ii) if p≡7(mod  8), then the equation has only the solutions (p,x,y,z)=(2q-1,(1/3)(q+2),2,2q+1), where q is an odd prime with q≡1(mod  3); (iii) if p≡1(mod  8) and p≠17, then the equation has at most two positive integer solutions (x,y,z).…”
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The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential by T. A. Ishkhanyan, A. M. Ishkhanyan

“…Depending on an involved parameter, the potential presents either a short-range singular well (which behaves as inverse square root at the origin and vanishes exponentially at infinity) or a smooth asymmetric step-barrier (with variable height and steepness). …”
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New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control by Tao Wu, Jinde Cao, Lianglin Xiong, Haiyang Zhang

“…This paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input-delay-dependent Lyapunov–Krasovskii functional (LKF) is firstly introduced. …”
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Experimental Study on the Transition between Static and Kinetic Frictions of Steel/Shale Pairs by Qin Lian, Chunxu Yang, Jifei Cao

“…It was found that the coefficient of friction decreased exponentially from static to dynamic friction coefficient with increasing sliding displacement. …”
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Nonspectrality of Certain Self-Affine Measures on ℝ3 by Gui-Bao Gao

“…We will determine the nonspectrality of self-affine measure μB,D corresponding to B=diag[p1,p2,p3]  (p1∈(2ℤ+1)∖{±1}, p2∈2ℤ∖{0}), and D={0,e1,e2,e3} in the space ℝ3 is supported on T(B,D), where e1,  e2, and e3 are the standard basis of unit column vectors in ℝ3, and there exist at most 4 mutually orthogonal exponential functions in L2(μB,D), where the number 4 is the best. …”
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Evaluation of Self-Friction Three-Center Nuclear Attraction Integrals with Integer and Noninteger Principal Quantum Numbers n over Slater Type Orbitals by Ebru Çopuroğlu

“…A complete orthonormal set of Guseinov ψα exponential type orbitals (ψα-ETOs, α=2,1,0,-1,-2,…) has been used to obtain the analytical expressions. …”
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Trajectory Optimization for 6R Industrial Robot based on Multi-object PSO by Li Li, Fang Lijin, Wang Guoxun

“…The algorithm uses the adaptive exponential penalty function to deal with the constraints,which help to guide the algorithm to enter the feasible area faster,and search better target value. …”
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Efficient Prediction of Network Traffic for Real-Time Applications by Muhammad Faisal Iqbal, Muhammad Zahid, Durdana Habib, Lizy Kurian John

“…It is observed that a double exponential smoothing predictor provides a reasonable tradeoff between performance and cost overhead.…”
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Artificial intelligence in orthopaedic trauma by Chuwei Tian, Yucheng Gao, Chen Rui, Shengbo Qin, Liu Shi, Yunfeng Rui

“…With the exponential growth in data processing capabilities and the progressive intertwining of medicine with industry, artificial intelligence (AI) has gained widespread application in the medical domain. …”
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Integrity Design for Networked Control Systems with Actuator Failures and Data Packet Dropouts by Xiaomei Qi, Jason Gu

“…Then, the sufficiency of exponential stability for the NCS is obtained based on the theory of ADSs. …”
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