| 11. | By harvesting the energy from Brownian motion, we will simply be absorbing heat.
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| 12. | The mortals and angels hop around randomly like soot particles in Brownian motion.
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| 13. | Where B is the Wiener process ( standard Brownian motion ).
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| 14. | Brownian motion, convection, and other considerations might yield a very complicated and statistical answer.
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| 15. | In 1906 Smoluchowski published a one-dimensional model to describe a particle undergoing Brownian motion.
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| 16. | The way that nature has been able to exploit Brownian motion is through self-assembly.
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| 17. | The dynamics has been described as deterministic fractional Brownian motion, and exhibits anomalous diffusion.
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| 18. | For example, to study Brownian motion, probability is defined on a space of functions.
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| 19. | More accurate numerical values can be obtained considering the Brownian motion of the beads.
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| 20. | Let B _ t be a d-dimensional standard Brownian motion.
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