|
|
| (One intermediate revision by one other user not shown) |
| Line 1: |
Line 1: |
| {{Unreferenced|date=December 2009}}
| | Alyson is the title people use to call me and I believe it seems quite great [http://checkmates.co.za/index.php?do=/profile-56347/info/ are psychics real] when you say it. Ohio is where his home is [http://kpupf.com/xe/talk/735373 online psychic] and his family members enjoys it. What me and my family love is bungee jumping but I've been taking on new issues recently. My working day occupation is an info officer but I've already utilized for another one.<br><br>Feel free to visit my homepage best psychic ([http://www.prograd.uff.br/novo/facts-about-growing-greater-organic-garden Read the Full Post]) |
| {{Disputed|date=March 2008}}
| |
| | |
| In [[statistical mechanics]], the '''Gibbs algorithm''', first introduced by [[J. Willard Gibbs]] in 1878, is the injunction to choose a [[statistical ensemble]] (probability distribution) for the unknown [[microstate (statistical mechanics)|microscopic state]] of a [[thermodynamic system]] by minimising the average log probability
| |
| | |
| :<math> H = \sum_i -p_i \ln p_i \, </math> | |
| | |
| subject to the probability distribution satisfying a set of constraints (usually expectation values) corresponding to the known [[macroscopic]] quantities. Physicists call the result of applying the Gibbs algorithm the [[Gibbs distribution]] for the given constraints, most notably Gibbs's [[grand canonical ensemble]] for open systems when the average energy and the average number of particles are given. (See also ''[[Partition function (mathematics)|partition function]]'').
| |
| | |
| In the light of [[Claude E. Shannon|Claude Shannon]]'s [[information theory]], in 1957 [[E.T. Jaynes]] re-interpreted the Gibbs algorithm as a much more general, more widely applicable inference technique, leading to the [[principle of maximum entropy]], and the [[Maximum entropy thermodynamics|MaxEnt view of thermodynamics]].
| |
| | |
| This general result of the Gibbs algorithm is then a [[maximum entropy probability distribution]]. Statisticians identify such distributions as belonging to [[exponential family|exponential families]].
| |
| | |
| ==Not to be confused with==
| |
| The [[Gibbs sampler]], an update algorithm used in [[Markov chain Monte Carlo]] iterations, a special case of the [[Metropolis-Hastings algorithm]].
| |
| | |
| {{DEFAULTSORT:Gibbs Algorithm}}
| |
| [[Category:Statistical mechanics]]
| |
| [[Category:Particle statistics]]
| |
| [[Category:Entropy and information]]
| |
Alyson is the title people use to call me and I believe it seems quite great are psychics real when you say it. Ohio is where his home is online psychic and his family members enjoys it. What me and my family love is bungee jumping but I've been taking on new issues recently. My working day occupation is an info officer but I've already utilized for another one.
Feel free to visit my homepage best psychic (Read the Full Post)