Noise-tolerant Grover's algorithm via success-probability prediction by Jian Leng, Fan Yang, Xiang-Bin Wang

“…We propose a noise-tolerant method that significantly reduces the running time and exponentially improves the error threshold with number of qubits for Grover's search. …”
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From Quantum Unstable Systems to the Decaying Dark Energy: Cosmological Implications by Aleksander Stachowski, Marek Szydłowski, Krzysztof Urbanowski

“…Our special attention is focused on radioactive-like exponential form of the decay process of the dark energy and on the consequences of this type decay.…”
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Time-Delayed Feedback Control of a Hydraulic Model Governed by a Diffusive Wave System by Boumediène Chentouf, Nejib Smaoui

“…Subsequently, we deal with the eigenvalue problem of the system. More importantly, exponential decay of solutions of the closed-loop system is derived provided that the feedback gain of the control is bounded. …”
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Complexity geometry and Schwarzian dynamics by Henry W. Lin, Leonard Susskind

“…In many setups, this “Schwarzian” variable can be interpreted as the extremal volume of the dual black hole, and the resulting dynamics is simply that of a 1D Newtonian particle in an exponential potential. On the complexity side, geodesics on a simplified version of Nielsen’s complexity geometry also behave like a 1D particle in a potential given by the angular momentum barrier. …”
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Conflitos e contradições no município de Ferros: o mineroduto Manabi by Bruno von Sperling, Profa. Dra. Doralice Pereira

“…With the Brazilian government's re-primarization of the economy and the interests of the capitalists, including the exponential growth of the price of iron ore in the global market, the River Santo Antônio watershed became the target of mega-mining projects. …”
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Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory by Ruofeng Rao, Shouming Zhong

“…This paper investigates the stochastically exponential stability of reaction-diffusion impulsive stochastic cellular neural networks (CNN). …”
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Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients by Wei-Qin Chen, Qing-Feng Guan, Chao-Fan Jiang, Fei-Fan Zhang, Lei Wang

“…Three types of dispersion coefficients are considered, including the periodic, exponential, and linear modulations. The corresponding nonautonomous lump waves have different characteristics of trajectories and velocities. …”
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A renda da terra na Região Metropolitana da Grande Vitória – ES – Brasil by Cláudio Luiz Zanotelli, Francismar Cunha Ferreira, Larissa Marques de Antônio, Rodrigo Bettim Bergamaschi

“…The text concludes by discussing the existence of exponential monopoly rents, absolute and differential, in the region. …”
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Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions by Teya Kouakou Kra Isaac, Bomisso Gossrin Jean-Marc, Touré Kidjegbo Augustin, Coulibaly Adama

“…At last, by adopting well-known techniques, we establish the Riesz basis property of the system in the general case, and the exponential stability of the system is obtained under certain conditions relating to the feedback coefficients and the sign of the internal damping on the interval studied of length 1.…”
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Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay by Josef Diblík, Denis Khusainov, Oleksandra Kukharenko, Zdeněk Svoboda

“…Assuming that a decomposition of the given system into a system of independent scalar second-order linear partial differential equations of parabolic type with a single delay is possible, an analytical solution to the problem is given in the form of formal series and the character of their convergence is discussed. A delayed exponential function is used in order to analytically solve auxiliary initial problems (arising when Fourier method is applied) for ordinary linear differential equations of the first order with a single delay.…”
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Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays by Yutian Zhang

“…By using the impulsive integral inequality of Gronwall-Bellman type and Hardy-Sobolev inequality as well as piecewise continuous Lyapunov functions, we summarize some new and concise sufficient conditions ensuring the global exponential asymptotic stability of the equilibrium point. …”
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Performance Improvements of a Permanent Magnet Synchronous Machine via Functional Model Predictive Control by Ahmed M. Kassem, A. A. Hassan

“…To alleviate computational effort and to reduce numerical problems, particularly in large prediction horizon, an exponentially weighted functional model predictive control (FMPC) is employed. …”
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General Results for the Transmuted Family of Distributions and New Models by Marcelo Bourguignon, Indranil Ghosh, Gauss M. Cordeiro

“…For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and exponentiated-G densities. We investigate the asymptotes and shapes and obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations, Rényi and Shannon entropies, and order statistics and their moments. …”
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Pandemic panic and anxiety in developing countries. Embracing One Health offers practical strategies in management of COVID-19 for Africa by Keneth Iceland, Kasozi, Regan, Mujinya, Paul, Bogere, Isaac, Echoru, Simon Peter, Musinguzi

“…African Union member states as of early April 2020 are reporting 6,470 cases and 241 deaths from COVID-19 reporting growth as “close to exponential”.…”
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Forecasting the development of antimicrobial resistance of S. aureus by Oleh Shemetov, Mariia Faustova, Tetiana Perepelova, Hennadii Balia, Ihor Pavlish, Galina Loban'

“…It was established that S. aureus may reach 100.0% resistance to gentamicin in 2027. According to exponential smoothing, the level of S. aureus resistance to amikacin will increase by 22.7% over the next five-year period. …”
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Model-Free Change Point Detection for Mixing Processes by Hao Chen, Abhishek Gupta, Yin Sun, Ness Shroff

“…The MMD-CUSUM test also achieves strong performance under exponentially <inline-formula><tex-math notation="LaTeX">$\alpha$</tex-math></inline-formula>/<inline-formula><tex-math notation="LaTeX">$\beta$</tex-math></inline-formula>-mixing processes, which are significantly more relaxed than existing results. …”
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Research on Deep-Site Failure Mechanism of High-Steep Slope under Active Fault Creeping Dislocation by Yang Liu, Kaiwen Zhang, Denghang Tian, Liming Qu, Yang Liu

“…The development of the upper envelope curve in the plastic zone of the overlying soil satisfies the Boltzmann equation with a first-order exponential growth, while the development of the lower envelope curve satisfies the Gauss equation with a second-order exponential growth. …”
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Research on Soft Rocks for the Construction of Roadbeds for High-Speed Railroad: Effect of Water Soaking Environment by Xiangdong Zhang, Jie Geng, Yuebo Xu, Zhongchao Zhou, Shuai Pang

“…The curve change from strain-hardening to strain-softening type and the deformation modulus and extent of cohesion realized increased exponentially with an increase in the cement slurry filling rate. …”
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A quasi-one-dimensional ice mélange flow model based on continuum descriptions of granular materials by J. M. Amundson, A. A. Robel, J. C. Burton, K. Nissanka

“…For the latter case, the model predicts that the steady-state ice mélange buttressing force depends on the surface and basal melt rates through an inverse power-law relationship, decays roughly exponentially with both fjord width and gradient in fjord width, and increases with the iceberg calving flux. …”
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Dynamic heat transfer mechanisms of internal thermal mass: Effects of thermal conductivity and diffusivity under varied temperature conditions by Ru Yang, Liting Yuan, Dong Zhang, Taiquan Wu, Yihang Lu

“…This study investigates the dynamic heat transfer performance of internal thermal mass under constant indoor air temperature, exponentially declining temperatures, and sinusoidal heating and cooling conditions. …”
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