Nonlinear dynamics for cylindrical resonator of wave solid-state gyroscope with different number of electrostatic control sensors by Maslov, Alexander Anatolyevich, Maslov, Dmitry Alexandrovich

“…The equations of resonator dynamics are averaged by using the Krylov–Bogolyubov method. …”
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Stochastic Optimal Control for Uncertain Structural Systems Under Random Excitations Based on Bayes Optimal Estimation by Hua Lei, Zhao-Zhong Ying, Zu-Guang Ying

“…For the estimation, the posterior probability density conditional on observation states is expressed using the likelihood function conditional on system parameters according to Bayes’ theorem. The likelihood is replaced by the geometrically averaged likelihood, and the posterior is converted into its logarithmic expression to avoid numerical singularity. …”
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Probabilistic Power Flow Analysis of DERs Integrated Power System From a Bayesian Parameter Estimation Perspective by Wanjoli, Paul, Moustafa, Mohamed M.Zakaria, Abbasy, Nabil H.

“…BPE also provided faster results as system size increased, averaging 3.477 hours, versus PEM’s 6.837 hours and MCS’s 11.524 hours. …”
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Verification of the method for classifying the technical state of a turboshaft engine fuel regulator in the space of operational process parameters under factory test conditions by Ihor Ohanian, Sergiy Yepifanov

“…The effectiveness of the method was analyzed according to quantitative classification quality indicators: the overall accuracy ranged from 90.48% to 100%, and micro-averaged precision ranged from 66.67% to 100%, depending on the specific test. …”
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Principal Component Analysis for Weighted Data in the Procedure of Multidimensional Statistical Forecasting by V. V. Nikitin, D. V. Bobin

“…The proposed standardization of weighted data promotes to the implementation of the main theorem of factor analysis. This ensures the construction of an orthonormal basis in the factor area. …”
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Development of neutron diffusion and transport algorithms based on finite volume method by LI Wei, LIU Xiaojing, CHAI Xiang, ZHAO Pengcheng

“…The IAEA criticality benchmark results show region-averaged flux and effective multiplication factor deviations of 6.9% and 22×10-⁵, respectively. …”
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