An English patronymic surname from Gibb (Gilbert). / A village in Adair County, Missouri, United States. / An unincorporated community in Knox County, Tennessee, United States.

A surname transferred from the given name derived from a Middle English diminutive of the name Gilbert.

An island in the Turks and Caicos Islands.

plural of Gibbs measure

(statistics) A generalization of the canonical ensemble to infinite systems, giving the probability of a given system being in a given state (or, equivalently, of a given random variable having a given value).

(statistics) An equilibrium probability distribution which remains invariant under future evolution of the system.

(statistical mechanics) A criterion for choosing a probability distribution for the statistical ensemble of microstates of a thermodynamic system by minimizing the average log probability ⟨ ln p_i⟩=∑ᵢp_i ln p_i,, subject to the probability distribution pᵢ satisfying a set of constraints (usually expectation values) corresponding to the known macroscopic quantities.

plural of Gibbs state

(mathematics) A behaviour of the Fourier series approximation at a jump discontinuity of a piecewise continuously differentiable periodic function, such that partial sums exhibit an oscillation peak adjacent the discontinuity that may overshoot the function maximum (or minimum) itself and does not disappear as more terms are calculated, but rather approaches a finite limit.

(statistics) A Markov chain Monte Carlo algorithm for obtaining a sequence of observations which are approximated from a specified multivariate probability distribution, when direct sampling is difficult.