.... For practical use, we need a description that gives information about the future, based on information we have now. This leads to the concept of a Markov process. The Markov Postulate The fundamental idea of a Markov process is that the knowledge of the state of a system in the present determines its future...

... system reliability evaluation. Several methods have accordingly been proposed to evaluate the reliability of such systems, including the Markov process, Monte Carlo simulation, reliability block diagram, and fault tree analysis. Markov process The stochastic behavior of a PV system can be regarded...

... Weiss , D. R. and Levitt , M. , “ Can morphing methods predict intermediate structures? ,” J. Mol. Biol.   385 ( 2 ), 665 – 674 ( 2009 ). 10.1016/j.jmb.2008.10.064 Wu , H. and Noé , F. , “ Variational approach for learning Markov processes from time series data ,” J...

.... Biol.   385 ( 2 ), 665 – 674 ( 2009 ). 10.1016/j.jmb.2008.10.064 Wu , H. and Noé , F. , “ Variational approach for learning Markov processes from time series data ,” J. Nonlinear Sci.   30 ( 1 ), 23 – 66 ( 2020 ). 10.1007/s00332-019-09567-y Yao , Y. , Cui , R. Z...

... Markovic , D. S. , Zivkovic , D. , Cvetkovic , D. , and Popovic , R. , “ Impact of nanotechnology advances in ICT on sustainability and energy efficiency ,” Renew. Sustain. Energy Rev.   16 , 2966 – 2972 ( 2012 ). 10.1016/j.rser.2012.02.018 Neamen , D. A. and Pevzner , B...

... methods for the evaluation of nanofluid stability, and different mechanisms and ways for enhancing nanofluid stability. Meanwhile, they have displayed a wide spectrum of nanofluids future applications like biomedical, mechanical and energy applications. In addition, Markovic et al. (2012) have...

....53.082301.113146 Bowman , G. R. , Huang , X. , and Pande , V. S. , “ Using generalized ensemble simulations and Markov state models to identify conformational states ,” Methods   49 ( 2 ), 197 – 201 ( 2009 ). 10.1016/j.ymeth.2009.04.013 Branduardi , D. , Gervasio , F. L...

... choose to take capstone courses in more advanced computational physics methods (higher order integration methods; Monte Carlo simulation; Markov chains and the Metropolis algorithm), computational quantum mechanics, and data analysis with an emphasis on machine learning. From a computational literacy...

... within simulations of limited length ( Rohrdanz et al., 2013 ). Several methods exist to tackle these challenges. When a large set of unbiased MD trajectories is available, the Markov State Model (MSM) can be constructed which models the original dynamics as Markovian transitions among...

... dynamics (MD) simulations with routine computer resources, although it is possible to reach a longer timescale using a specially designed supercomputer like Anton and by connecting multiple short simulations with Markov state models ( Shaw et al., 2010 ; Lindorff-Larsen et al., 2011...

... practitioners an idea of how to formulate their current problem stochastically, and how to get an idea of what the predictions of such modeling are. Elements of Stochastic Methods features: A treatment based on Markov processes, including an outline of their theoretical foundations...

... practitioners an idea of how to formulate their current problem stochastically, and how to get an idea of what the predictions of such modeling are. Elements of Stochastic Methods features: A treatment based on Markov processes, including an outline of their theoretical foundations...

... and accelerated osteogenic differentiation of human mesenchymal stem cells ,” ACS Nano   5 , 4670 – 4678 ( 2011 ). 10.1021/nn200500h Newaz , A. K. M. , Markov , D. A. , Prasai , D. , and Bolotin , K. I. , “ Graphene transistor as a probe for streaming potential ,” Nano Lett.   12...

... practitioners an idea of how to formulate their current problem stochastically, and how to get an idea of what the predictions of such modeling are. Elements of Stochastic Methods features: A treatment based on Markov processes, including an outline of their theoretical foundations...

... Mao , S. S. and Chen , X. , “ Selected nanotechnologies for renewable energy applications ,” Int. J. Energy Res.   31 , 619 – 636 ( 2007 ). 10.1002/er.1283 Markovic , D. S. , Zivkovic , D. , Cvetkovic , D. , and Popovic , R. , “ Impact of nanotechnology advances...