Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation by Haihong Li, Daqing Jiang, Fuzhong Cong, Haixia Li

“…After that, conditions for the system going extinct in probability are established. At last, numerical simulations are carried out to support our results.…”
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Graviatoms with de Sitter Interior by Irina Dymnikova, Michael Fil’chenkov

“…It is a gravitationally bound quantum system consisting of a nucleus represented by a regular primordial black hole (RPBH), its remnant or gravitational vacuum soliton G-lump, and a charged particle. We estimate probability of formation of RPBHs and G-lumps in the early Universe and evaluate energy spectrum and electromagnetic radiation of graviatom which can in principle bear information about a fundamental symmetry scale responsible for de Sitter interior and serve as its observational signatures.…”
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Application of fuzzy modeling in the evaluation of crisis state of enterprises by M. N. Belousova, A. A. Dashkov

“…In the model of a fuzzy assessment of the crisis state of enterprises, the following input linguistic variables have been highlighted: the relative level of financial status, the probability of bankruptcy, the level of information security, the level of innovation potential. …”
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Imaging features of intracranial meningiomas with histopathological correlation: a case report and review of literature by R. Montvilaitė, S. R. Letautienė, R. Kvaščevičius, A. Barkauskienė

“…Although the value of medical imaging (computed tomography, magnetic resonance imaging) in predicting the histopathologic grades of meningiomas is limited, certain features increase the probability of the lesion being malignant. In this article, we present a case report of a recurrent malignant intracranial meningioma and a literature review and analyze the correlations of the radiological characteristics of meningiomas with histopathological tumor differentiation. …”
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TEXT CLASSIFICATION BASED ON SUPPORT VECTOR MACHINE by Lê Thị Minh Nguyện

“…There are many methods of text classification, but for this paper we study and apply the Support Vector Machine (SVM) method and compare its effect with the Naïve Bayes probability method. In addition, before implementing text classification, we performed preprocessing steps on the training set by extracting keywords with dimensional reduction techniques to reduce the time needed in the classification process.…”
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Spin Polarization Oscillations and Coherence Time in the Random Interaction Approach by P. Pereyra

“…We study the time evolution of the survival probability and the spin polarization of a dissipative nondegenerate two-level system in the presence of a magnetic field in the Faraday configuration. …”
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Description of fatigue sensitivity curves and transition to critical states of polymer composites by cumulative distribution functions by O.A. Staroverov, A.I. Mugatarov, A.S. Yankin, V.E. Wildemann

“…The model is based on cumulative distribution functions using. Weibull probability distribution law and beta distribution are considered. …”
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A mathematical model of stem cell regeneration with epigenetic state transitions by Qiaojun Situ, Jinzhi Lei

“…The dynamics of the subpopulations are modeled by a set of ordinary differential equations in which epigenetic state transition in cell division is given by the transition probability. We present analysis for the existence and linear stability of the equilibrium state. …”
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Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators by Ebrahim Amini, Shrideh Al-Omari, Dayalal Suthar

“…In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. …”
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A *-mixing convergence theorem for convex set valued processes by A. de Korvin, R. Kleyle

“…In this paper the concept of a *-mixing process is extended to multivalued maps from a probability space into closed, bounded convex sets of a Banach space. …”
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Performance Analysis of SNR-Based HDAF M2M Cooperative Networks by Lingwei Xu, Hao Zhang, T. Aaron Gulliver

“…The lower bound on outage probability (OP) of mobile-to-mobile (M2M) cooperative networks over N-Nakagami fading channels is derived for SNR-based hybrid decode-amplify-forward (HDAF) relaying. …”
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Music Recommendation Algorithm Based on Multidimensional Time-Series Model Analysis by Juanjuan Shi

“…This method uses the theme model to express each song as the probability of belonging to several hidden themes, then models the user’s behavior as multidimensional time series, and analyzes the series so as to better predict the use of music users’ behavior preference and give reasonable recommendations. …”
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Stability Analysis of a Repairable System with Warning Device and Repairman Vacation by Yangli Ren, Lina Guo, Lingling Zhang

“…By Markov renewal process theory and the probability analysis method, the system is first transformed into a group of integrodifferential equations. …”
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Factors determining the tendency of rural households in Central Pomerania to save – PILOT study results by Agnieszka Strzelecka, Danuta Zawadzka

“…The first two parameters increase the probability of saving by rural households of Central Pomerania. …”
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Assessing the Survival of the Redbay Ambrosia Beetle and Laurel Wilt Pathogen in Wood Chips by Don Spence, Jason Smith, Albert Mayfield, Jiri Huler, Randy Ploetz, Lukasz Stelinski

“…This 4-page fact sheet summarizes a UF/IFAS study providing evidence that a simple technique — chipping the dead trees — can help contain the disease within a small area and that there is a low probability of long-distance movement of LW via wood chips. …”
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The local limit theorem for complex valued sequences: the parabolic case by Coulombel, Jean-François, Faye, Grégory

“…The result applies in probability theory for random walks as well as in numerical analysis for studying the large time behavior of numerical schemes.…”
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Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria by Hitoshi Yano, Masatoshi Sakawa

“…In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions but also permissible probability levels in a fractile optimization model, and such fuzzy goals are quantified by eliciting the corresponding membership functions. …”
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Asymptotic Exponential Arbitrage in the Schwartz Commodity Futures Model by Tesfamariam Tadesse Welemical, Jane Akinyi Aduda, Martin Le Doux Mbele Bidima

“…We introduce the analysis of asymptotic arbitrage in storable commodity models by proving that the futures prices process allows asymptotic exponential arbitrage with geometric decaying failure probability. Next, we find by comparison that, under some similar conditions, our result is a corresponding commodity assets (stronger) version of Föllmer and Schachermayer’s result stated in the modeling setting of geometric Ornstein-Uhlenbeck process for financial security assets.…”
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A New Statistical Method for Maximum Power Estimation in CMOS VLSI Circuits by N. E. Evmorfopoulos, J. N. Avaritsiotis

“…The method is based on extreme value theory and allows for the calculation of the upper end point of the probability distribution which is followed by the instantaneous power drawn from the supply bus. …”
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The variance-gamma ratio distribution by Gaunt, Robert E., Li, Siqi

“…Let $X$ and $Y$ be independent variance-gamma random variables with zero location parameter; then the exact probability density function of the ratio $X/Y$ is derived. …”
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