Results 11 to 20 of about 592,913 (254)

Logical entropy of dynamical systems [PDF]

open access: yesAdvances in Difference Equations, 2018
The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of finite measurable partitions and derive the ...
Dagmar Markechová   +2 more
doaj   +4 more sources

Quantum logical entropy: fundamentals and general properties

open access: yes4 open, 2022
Logical entropy gives a measure, in the sense of measure theory, of the distinctions of a given partition of a set, an idea that can be naturally generalized to classical probability distributions.
Tamir Boaz   +3 more
doaj   +2 more sources

Logical entropy and negative probabilities in quantum mechanics

open access: yes4 open, 2022
The concept of Logical Entropy, SL = 1-Σni=1 pi2 SL=1-∑i=1npi2$ {S}_{\mathrm{L}}=1-{\sum }_{i=1}^n {p}_i^2$, where the pi are normalized probabilities, was introduced by David Ellerman in a series of recent papers.
Manfredi Giovanni
doaj   +3 more sources

Entropy: From Thermodynamics to Information Processing

open access: yesEntropy, 2021
Entropy is a concept that emerged in the 19th century. It used to be associated with heat harnessed by a thermal machine to perform work during the Industrial Revolution.
Jordão Natal   +4 more
doaj   +2 more sources

Finite Quantum Logical Entropy IAOM

open access: yes
Finite Quantum Logical Entropy ...
Richard Goodman (24379583)   +1 more
core   +9 more sources

From Rota to the Logic of Partitions and the Notion of Logical Entropy

open access: yesScience & Philosophy
This paper traces an intellectual journey that starts with some unfinished work of Gian-Carlo Rota on making a logic of equivalence relations or partitions. Rota understood the category-theoretic duality between subsets and partitions which implied there
David Ellerman
doaj   +2 more sources

Research on Unit Availability Assessment Model for Roadway High-Entropy Energy Integrating Output Capacity and Behavioral Orderliness [PDF]

open access: yesEntropy
Due to the stochastic and fluctuating nature of output from roadway high-entropy energy units, traditional evaluation metrics based on fault statistics struggle to comprehensively assess their availability.
Juexiao Chen   +4 more
doaj   +2 more sources

Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
‎In the context of observers‎, ‎any mathematical model according to the viewpoint of an observer $ \Theta $ is called a relative model‎. ‎The purpose of the present paper is to study the relative model of logical entropy‎. ‎Given an observer $ \Theta $‎,
Uosef Mohammadi
doaj   +1 more source

Logical Entropy of Partitions for Interval-Valued Intuitionistic Fuzzy Sets

open access: yesTransactions on Fuzzy Sets and Systems
In this study, we present the ideas of logical entropy and logical conditional entropy for partitions in interval-valued intuitionistic fuzzy sets, and we establish their fundamental properties.
Zohreh Nazari, Elham Zangiabadi
doaj   +1 more source

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