measure theory
probability theory
measurable space, measurable locale
measure, measure space
von Neumann algebra
geometric measure theory
probability space
probability distribution
state
in AQFT and operator algebra
GNS construction
Fell's theorem
entropy, relative entropy
information geometry
information metric
Wasserstein metric
thermodynamics
second law of thermodynamics, generalized second law
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In measure theory, a σ\sigma-continuous probability valuation on a σ \sigma -complete lattice (L,≤,⊥,∨,⊤,∧,⋁)(L, \leq, \bot, \vee, \top, \wedge, \Vee) is a probability valuation μ:L→[0,1]\mu:L \to [0, 1] such that the σ\sigma-continuity condition is satisfied: for all sequences s:ℕ→Ls:\mathbb{N} \to L, if s(n)≤s(n+1)s(n) \leq s(n + 1) for all natural numbers n∈ℕn \in\mathbb{N}, then
unit interval
sigma-continuous valuation
probability valuation
probability measure
Created on May 4, 2022 at 00:02:41. See the history of this page for a list of all contributions to it.