apiary 发表于 2025-3-23 11:00:57
Probability,entist one for which probabilities are statements of fact. We establish a sort of link between those two notions through the law of large numbers and relate this law to our notion of explanation of natural phenomena in non deterministic situations. In the Appendix, we summarize measure theory whichIndebted 发表于 2025-3-23 15:37:46
Dynamical Systems, not isolated, but for which there is nevertheless an invariant measure. These dynamical systems satisfy general properties, mainly the Poincaré recurrence theorem and Birkho’s ergodic theorem. Basing ourselves on that latter theorem, we classify dynamical systems according to their ergodic propertiETHER 发表于 2025-3-23 21:20:48
http://reply.papertrans.cn/63/6218/621738/621738_13.pngHaphazard 发表于 2025-3-24 01:19:17
Equilibrium Statistical Mechanics,crostates and the macrostates of a system and the fact that the number of microstates corresponding to a given value of a macrostate depends very much on that value. We also give the formula for the microscopic or Boltzmann’s entropy and then give the corresponding microscopic formulas for the freePalatial 发表于 2025-3-24 06:18:34
Information-Theoretic and Predictive Statistical Mechanics,. That approach is based on probabilities, rather than on microstates. The basic principle that allows us the choose the correct probabilities is the maximization of the Shannon entropy. We define that entropy and explain what makes its maximization natural. We also discuss several applications of t权宜之计 发表于 2025-3-24 07:56:56
Approach to Equilibrium,equilibrium state is created by a constraint imposed on that isolated system. The simplest example being a gas in a box which is constrained by a wall to be in a subset of the box. If one removes that wall at time ., the gas will expand throughout the box and its density will converge towards a unifMawkish 发表于 2025-3-24 10:41:28
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Jean Bricmontes, from planning and delivery to assessment of response.CovThis book provides, for the first time, a unified approach to the application of MRI in radiotherapy that incorporates both a physics and a clinical perspective. Readers will find detailed information and guidance on the role of MRI in all不易燃 发表于 2025-3-25 01:18:05
Jean BricmontBrings clarity to the subtle questions raised by the Second Law of thermodynamics and time‘s arrow.Provides insights into the relationship between probability and the natural sciences.Explores the var