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Structural properties of algebras of S -probabilities by Dietmar Dorninger; Helmut Länger is a Mathematics article available to read on EtoBox.
What is Structural properties of algebras of S -probabilities about?
Let S be a set of states of a physical system. The probabilities p(s) of the occurrence of an event when the system is in different states s ∈ S define a function from S to [0, 1] called a numerical event or, more precisely, an S-probability. A set of S-probabilities comprising the constant functions 0 and 1 which is structured by means of the addition and order of real functions in such a way that an orthomodular partially ordered set arises is called an algebra of S-probabilities, a structure significant as a quantum-logic with a full set of states. The main goal of this paper is to describe algebraic properties of algebras of S-probabilities through operations with real functions. In particular, we describe lattice characteristics and characterize Boolean features. Moreover, representations by sets are considered and pertinent examples provided.
Who reads Structural properties of algebras of S -probabilities?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Dietmar Dorninger; Helmut Länger
- Publisher
- Walter de Gruyter GmbH
- Published
- 2018
- Language
- EN
- Field
- Mathematics (Physical Sciences)