| 1. | Markov chains form a common context for applications in probability theory.
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| 2. | Alice believes that the weather operates as a discrete Markov chain.
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| 3. | Optimization and Markov chains are employed to design a driving cycle.
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| 4. | Assume that I have a file that describes a Markov chain.
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| 5. | BAli-Phy uses Markov chain Monte Carlo methods for estimation.
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| 6. | The definition of Markov chains has evolved during the 20th century.
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| 7. | However, many applications of Markov chains employ finite or Variations ).
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| 8. | A Markov chain is aperiodic if every state is aperiodic.
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| 9. | Related concepts include job shops and queuing systems ( Markov chains ).
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| 10. | This is the standard interpretation of a Markov chain, for example.
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