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Boltzmann distribution

In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution) is a probability distribution or probability measure that gives the probability that a system will be in a certain state as a function of that state's energy and the temperature of the system. The distribution is expressed in the form p i ∝ exp ⁡ ( − ε i k…

Economy, The distribution & In statistical mechanics

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The distribution

Generalized Boltzmann distribution

In statistical mechanics

In mathematics

In economics

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Boltzmann distribution

Nodes69
Edges68
Triples36
Avg. degree1.97
Density0.028986
Components1

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Boltzmann distribution

Top relations

related to In economics · 6
Boltzmann distribution → As, Boltzmann, Boltzmann Fair Division, Daniel McFadden, The Boltzmann, This
related to The distribution · 6
Boltzmann distribution → Boltzmann, In, It, The Boltzmann, These, Using Lagrange
related to In statistical mechanics · 5
Boltzmann distribution → Although, Boltzmann, Some, The, The Boltzmann
related to Generalized Boltzmann distribution · 4
Boltzmann distribution → Boltzmann, Pr, The, The Boltzmann
related to In mathematics · 4
Boltzmann distribution → Boltzmann, Gibbs, In, Restricted Boltzmann
is a · 3
Boltzmann distribution → distribution that maximizes the entropy S, probability distribution that gives the probability of a certain state as a function of that state's energy and temperature of the system to which the distribution is applied, special case of the generalized Boltzmann distribution

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distribution boltzmann system energy probability state function states exp displaystyle statistical gives frac equilibrium ensemble left varepsilon text right mechanics

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SubjectPredicateObjectConfidenceSrc
Boltzmann distributionis aprobability distribution that gives the probability of a certain state as a function of that state's energy and temperature of the system to which the distribution is applied0.90text
Boltzmann distributionis adistribution that maximizes the entropy S0.90text
Boltzmann distributionis aspecial case of the generalized Boltzmann distribution0.90text
a natural-gas storage tankinstance ofof atoms or a single atom to a macroscopic system0.80text
the Boltzmann machineinstance ofthe Boltzmann distribution is used in the sampling distribution of stochastic neural networks0.80text
restricted Boltzmann machineinstance ofthe Boltzmann distribution is used in the sampling distribution of stochastic neural networks0.80text
energy-based modelsinstance ofthe Boltzmann distribution is used in the sampling distribution of stochastic neural networks0.80text
deep Boltzmann machineinstance ofthe Boltzmann distribution is used in the sampling distribution of stochastic neural networks0.80text
contributioninstance ofby allowing flexibility in how factors0.80text
needinstance ofby allowing flexibility in how factors0.80text
or preference are weightedinstance ofby allowing flexibility in how factors0.80text
Boltzmann distributionrelated to Generalized Boltzmann distributionPr0.60section

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