Wigner function method for the Gibbons–Hawking and the Unruh effect by Landau, Ziv, Leonhardt, Ulf

“…The literature mainly focuses on the ideal cases of exponential expansion (de–Sitter space) or uniform acceleration (Rindler trajectories) or both, but the real cosmic expansion is non–exponential and real accelerations are non–uniform. …”
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A novel analytical treatment for the Ambartsumian delay differential equation with a variable coefficient by Rana M. S. Alyoubi, Abdelhalim Ebaid, Essam R. El-Zahar, Mona D. Aljoufi

“…The first solution is expressed as an exponential function multiplied by an infinite power series. …”
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Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps by Qiyong Li, Siqing Gan

“…A sufficient condition for mean-square exponential stability of the exact solution is derived. …”
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ANALYSIS OF NONLINEAR CUMULATIVE DAMAGE MODEL CONSIDERING STRENGTH DEGRADATION by LI Wei

“…In order to establish an improved Corten-Dolan cumulative damage model that takes the effects of strength degradation in consideration,strength degradation coefficient was deduced by analyzed the strength degradation model,then the exponential parameter d in the Corten-Dolan model was defined as an exponential function related to the strength degradation coefficient. …”
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Cosmology of light towers and swampland constraints by Gonzalo F. Casas, Ignacio Ruiz

“…Abstract We study the dynamical evolution of FLRW cosmologies in the presence of a tower of scalar light states and a runaway exponential potential. Some of the attractor solutions have problematic behaviours from the EFT point of view, which we use to argue for restrictions on the possible exponential scalings of the potential and tower characteristic mass as we move towards asymptotic regions in moduli space. …”
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Research of the Speed Control Method of Robot by Yin liang

“…The linear acceleration and deceleration method,exponential acceleration and deceleration method and polynomial acceleration and deceleration method are analyzed emphatically.…”
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Quantum complexity of time evolution with chaotic Hamiltonians by Vijay Balasubramanian, Matthew DeCross, Arjun Kar, Onkar Parrikar

“…This complexity is expected to increase linearly for exponential time prior to saturating at its maximum value, and is related to the length of minimal geodesics on the manifold of unitary operators that act on Hilbert space. …”
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A Simple Hybrid Model for Short-Term Load Forecasting by Suseelatha Annamareddi, Sudheer Gopinathan, Bharathi Dora

“…The paper proposes a simple hybrid model to forecast the electrical load data based on the wavelet transform technique and double exponential smoothing. The historical noisy load series data is decomposed into deterministic and fluctuation components using suitable wavelet coefficient thresholds and wavelet reconstruction method. …”
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Firm Growth Function and Extended-Gibrat’s Property by Atushi Ishikawa, Shouji Fujimoto, Takayuki Mizuno, Tsutomu Watanabe

“…We analytically show that the logarithmic average sales of firms first follow power-law growth and subsequently follow exponential growth, if the growth-rate distributions of the sales obey the extended-Gibrat’s property and Gibrat’s law. …”
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Interaction between Uneven Cavity Length and Shaft Vibration at the Inception of Synchronous Rotating Cavitation by Y. Yoshida, Y. Kazami, K. Nagaura, M. Shimagaki, Y. Iga, T. Ikohagi

“…The fluid force generated by the unevenness of the cavity length was found to grow exponentially, and the amplitude of shaft vibration was observed to increase exponentially. …”
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On Modifications of the Gamma Function by Using Mittag-Leffler Function by Asifa Tassaddiq, Abdulrahman Alruban

“…Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function. …”
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Security analysis and improvement of a certificateless signcryption scheme by Zhen-guo ZHAO

“…Furthermore, the efficiency of the proposed scheme is very high since only four modular exponentiations and five modular exponentiations are needed in the signcryption algoriahm and unsigncryption algorithm separately.…”
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Stability of Pexider Equations on Semigroup with No Neutral Element by Jaeyoung Chung

“…Also, generalizing the result of Baker (1980) we prove the superstability for Pexider-exponential equation ft+s-gth(s)≤ϵ for all t,s∈S, where f,g,h:S→ℂ. …”
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Improving deep convolutional neural networks with mixed maxout units by Hui-zhen ZHAO, Fu-xian LIU, Long-yue LI, Chang LUO

“…The maxout units have the problem of not delivering non-max features， resulting in the insufficient of pooling operation over a subspace that is composed of several linear feature mappings,when they are applied in deep convolutional neural networks.The mixed maxout (mixout) units were proposed to deal with this constrain.Firstly,the exponential probability of the feature mappings getting from different linear transformations was computed.Then,the averaging of a subspace of different feature mappings by the exponential probability was computed.Finally,the output was randomly sampled from the max feature and the mean value by the Bernoulli distribution,leading to the better utilizing of model averaging ability of dropout.The simple models and network in network models was built to evaluate the performance of mixout units.The results show that mixout units based models have better performance.…”
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Generalized Dirac Oscillator in Cosmic String Space-Time by Lin-Fang Deng, Chao-Yun Long, Zheng-Wen Long, Ting Xu

“…In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential, exponential-type potential, and singular potential. …”
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A Simplified Milstein Scheme for SPDEs with Multiplicative Noise by B. Ghayebi, S. M. Hosseini

“…This paper deals with a research question raised by Jentzen and Röckner (A Milstein scheme for SPDEs, arXiv:1001.2751v4 (2012)), whether the exponential term in their introduced scheme can be replaced by a simpler mollifier. …”
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An Overview of Composite Standard Elastic-Net Distribution Based on Complex Wavelet Coefficients by Tahani A. Aloafi, Hassan M. Aljohani

“…The first model combines normal as likelihood, and elastic-net distributions as prior, while the other combines the double exponential distribution as likelihood with the elastic-net distribution as prior. …”
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NUTRIENT MEDIUM SELECTION AND OPTIMIZATION OF AVIBACTERIUM PARAGALLINARUM DEEP CULTURE METHOD by M. S. Firsova, V. A. Yevgrafova, A. V. Potekhin

“…Minimal redox value (–75 mV) was indicative of the completion of the exponential phase of the strain growth.…”
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A New Synergistic Forecasting Method for Short-Term Traffic Flow with Event-Triggered Strong Fluctuation by Darong Huang, Zhenping Deng, Bo Mi

“…Then, based on an introduced dynamic weighting factor, the improved grey Verhulst prediction method, and the first-order difference exponential smoothing technique, the new method for short-term traffic forecasting is completed in an efficient way. …”
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Forecasting Model Selection of Curly Red Chili Price at Retail Level by Ketut Sukiyono, Miftahul Janah

“…Five forecasting models are applied and estimated including Moving Average, Single Exponential Smoothing, Double Exponential Smoothing, Decomposition, and ARIMA. …”
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