例句與造句

1. The probability " P " is often called the Gibbs measure.
2. In more general mathematical settings, the Boltzmann distribution is also known as the Gibbs measure.
3. And don't forget Gibbs measuring his basement as he prepared to begin building something new.
4. The existence of more than one Gibbs measures is associated with statistical phenomena such as symmetry breaking and phase coexistence.
5. is the measure ( a probability measure ) on the probability space; formally, it is called the Gibbs measure.
6. It's difficult to find gibbs measure in a sentence. 用gibbs measure造句挺難的
7. The corresponding Gibbs measure then provides a probability distribution such that the expectation value of each H _ k is a fixed value.
8. The Gibbs measure of an infinite system is not necessarily unique, in contrast to the canonical ensemble of a finite system, which is unique.
9. The Gibbs measure is the unique statistical distribution that maximizes the entropy for a fixed expectation value of the energy; this underlies its use in maximum entropy methods.
10. Certain static and dynamic types of bounded-rational models of a potential game result in a stationary state that is the Gibbs measure, which is closely related to the quantal response equilibrium.
11. Conditions under which a ground state exists and is unique are given by the Karush Kuhn Tucker conditions; these conditions are commonly used to justify the use of the Gibbs measure in maximum-entropy problems.
12. During the late 1960s the method of symbolic dynamics was developed to hyperbolic toral automorphisms by Roy Adler and Benjamin Weiss, and to Anosov diffeomorphisms by Yakov Sinai who used the symbolic model to construct Gibbs measures.
13. More strongly, the converse is also true : " any " positive probability distribution ( nonzero density everywhere ) having the Markov property can be represented as a Gibbs measure for an appropriate energy function.
14. If " ? " is an extremal Gibbs measure for this Hamiltonian on the set of configurations \ phi, then it is easy to show that " ? " satisfies the lattice condition, see.
15. Note that this energy function belongs to a general class of models in physics, under the name of Ising models; these in turn are a special case of Markov networks, since the associated probability measure, the Gibbs measure, has the Markov property.
16. When the probability is derived from the Gibbs measure, as it would be for any Markovian process, then \ theta can also be understood to be a Lagrange multiplier; Lagrange multipliers are used to enforce constraints, such as holding the expectation value of some quantity constant.
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