Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 1447 for “"Entropy."”.
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Quantification of regularity in RR-interval time series using approximate entropy, sample entropy, and multi-scale entropy
… fluctuations in heart rate. Approximate Entropy (ApEn), Sample Entropy (SampEn) and Multi-scale Entropy (MSE) are measures based on chaos theory that quantify the regularity in time series. This study has been designed to examine the ability of these measures to distinguish the …
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Entropy and cycles
This body of works subject and focus point is the cyclical nature of matter and the forces therein. There have been explorations of this concept on all fronts including metaphysical philosophy, science, and art. It is the recurring realization of matter as a cyclical form being driven by unseen …
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Entropy and surfaceness
… flux. As a result, they are decreasing system entropy, a characteristic previously only assigned to life or living matter. The line between living and inert systems has expanded to a field wide enough to work within. Concurrently, developments in the engineering of so-called intelligent …
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On equivalence of additive-combinatorial inequalities for Shannon entropy and differential entropy
Entropy inequalities are very important in information theory and they play a crucial role in various communication-theoretic problems, for example, in the study of the degrees of freedom of interference channels. In this thesis, we are concerned with the additive-combinatorial entropy inequalities …
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Lyapunov Exponents, Entropy and Dimension
… along with a development of measure theoretic entropy and dimension. The main result, due to L.S. Young, is that for certain diffeomorphisms of a surface, there is a beautiful relationship between these three concepts; namely that the entropy equals dimension times expansion.
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Optimal Codes and Entropy Extractors
In this work we deal with both Coding Theory and Entropy Extraction for Random Number Generators to be used for cryptographic purposes. We start from a thorough analysis of known bounds on code parameters and a study of the properties of Hadamard codes. We find of particular interest the Griesmer …
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Saturating Quantum Relative Entropy Inequalities
… data processing inequality for quantum relative entropy. The data processing inequality describes how knowledge about quantum states (that describe a quantum system) cannot increase whenever the states undergo some noisy action (or a local operation). In chapter 3, we give a detailed explanation …
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Aspects of the reflected entropy
… information quantity, called the reflected entropy, which is a measure of quantum correlations in mixed states. Our work is motivated by, and generalizes, an earlier work on the thermo-field double purification of thermal states, in the purview of the AdS/CFT correspondence. Our main result …
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Behaviour of accelerating entropy spots
… temperature, density and composition (entropy and composition spots) through narrow passages such as nozzles or turbine guide vanes. Entropy-generated sound waves are both transmitted downstream of the acceleration point, contributing to the overall noise emission, and reflected …
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Entropy generation in fluid mixing
… illustrate, with simple examples, details of the entropy generation processes that are captured in an overall manner by a control volume analysis. The two situations are parallel mixing flows in a duct and the evolution of a wake in a centrifugal compressor. Results are given for the evolution of …
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Maximum Entropy Method in Superspace Crystallography
… aspects of the combination of the Maximum Entropy Method (MEM) for the reconstructions of the electron density with the superspace approach to the description of structures of aperiodic crystals. It is shown that the MEM in superspace provides a parameter-free reconstruction of the …
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Entropy in Two American Road Narratives
… entitled "Everything Running Down" the theme of entropy, the second law of thermodynamics, is explored and revealed to be a common motif within many works of American literature. Tanner's analysis does not specifically address the presence of entropy within the genre of the American road …
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Free entropy dimensions and approximate liftings
… ingredient in Voiculescu's proof that his free entropy is additive when the variables are free.</p><p>In the second chapter of the dissertation, based on the notion of upper free orbit-dimension introduced by D. Hadwin and J. Shen, we introduce a new invariant on finite von Neumann algebras that …
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Topological entropy of the Lozi family
Thesis (Ph. D.)--Michigan State University. Mathematics, 2010
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An Analysis of DNF Maximum Entropy
This study focuses on the entropy of functions computed by monotone DNF formulas. Entropy, which is a measure of uncertainty, information, and choice, has been long studied in the field of mathematics and computer science. We will be considering spectral entropy and focus on the conjecture that for …
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Entanglement entropy in integrable quantum systems
… “replica trick” we compute the entanglement entropy of non unitary systems using integrable tools in continuum and discrete models. In particular, in the first article we generalise the method described in the seventh article in order to take into account non unitary conformal systems. In the …
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Data Compression with Relative Entropy Coding
… to this trend by investigating relative entropy coding, a mathematical framework that generalises classical source coding theory. Concretely, relative entropy coding deals with the efficient communication of uncertain or randomised information. One of its key advantages is that it extends …
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Core Entropy of Finite Subdivision Rules
The topological entropy of the subdivision map of a finite subdivision rule restricted to the 1-skeleton of its model subdivision complex, which we call textbf{core entropy}, is examined. We consider core entropy for finite subdivision rules realizing quadratic Misiurewicz polynomials and matings …
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BOLTZMANN ENTROPY FOR UNDERSEA TERRAIN AIDED NAVIGATION
… utilizing a new paradigm in configuration entropy. It highlights a classic challenge in the path planning problem between exploration and exploitation. Exploration ensures complete coverage of the region, while exploitation utilizes terrain features to reduce positional uncertainty of the …
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