Extended Entropies and Disorder

Davison, Matt; Shiner, J. S.

doi:10.1142/s0219525905000373

Cited by 13 publications

(9 citation statements)

References 43 publications

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“…In addition, no significant differences between subjects were identified using a variety of more sophisticated approaches to time series analysis, either looking at the foot temperature in isolation or in relation to the ambient temperature. These included Euclidean distance (19), slopewise comparisons (19), fractal dimension (18), wavelet analysis (20), and several measurements of entropy (21). …”

Section: Resultsmentioning

confidence: 99%

Impaired Distal Thermoregulation in Diabetes and Diabetic Polyneuropathy

et al. 2009

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OBJECTIVE -To determine how thermoregulation of the feet is affected by diabetes and diabetic polyneuropathy in both wakefulness and sleep.RESEARCH DESIGN AND METHODS -Normal subjects, diabetic subjects without neuropathy, diabetic subjects with small-fiber diabetic polyneuropathy, and those with advanced diabetic polyneuropathy were categorized based on neurological examination, nerve conduction studies, and quantitative sensory testing. Subjects underwent foot temperature monitoring using an iButton device attached to the foot and a second iButton for recording of ambient temperature. Socks and footwear were standardized, and subjects maintained an activity diary. Data were collected over a 32-h period and analyzed.RESULTS -A total of 39 normal subjects, 28 patients with diabetes but without diabetic polyneuropathy, 14 patients with isolated small-fiber diabetic polyneuropathy, and 27 patients with more advanced diabetic polyneuropathy participated. No consistent differences in foot temperature regulation between the four groups were identified during wakefulness. During sleep, however, multiple metrics revealed significant abnormalities in the diabetic patients. These included reduced mean foot temperature (P Ͻ 0.001), reduced maximal temperature (P Ͻ 0.001), increased rate of cooling (P Ͻ 0.001), as well as increased frequency of variation (P ϭ 0.005), supporting that patients with diabetic polyneuropathy and even those with only diabetes but no diabetic polyneuropathy have impaired nocturnal thermoregulation.CONCLUSIONS -Nocturnal foot thermoregulation is impaired in patients with diabetes and diabetic polyneuropathy. Because neurons are highly temperature sensitive and because foot warming is part of the normal biology of sleep onset and maintenance, these findings suggest new potentially treatable mechanisms of diabetes-associated nocturnal pain and sleep disturbance.

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Section: Resultsmentioning

confidence: 99%

Impaired Distal Thermoregulation in Diabetes and Diabetic Polyneuropathy

et al. 2009

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“…Second, the selection of the

parameter (

corresponds to the exponent of probability used in summation) for the Renyi formula would necessitate a detailed discussion in the context of the studied problem. We can also show that often the studies of extended propositions of entropies are considered as particular problems, such as in References [ 37 , 38 ].…”

Section: Proposed Approachmentioning

confidence: 91%

Modeling the Disorder of Closed System by Multi-Agent Based Simulation

Małecki

Gwizdałła

Bieńko

2019

Entropy

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Mess (disorder)—there are many different meanings related to this problem. The explicit majority comes from the area of philosophical, social and medical sciences. In our paper, we try to present the engineering aspect of the concept of disorder. We propose a mathematical model which describes the effects and consequences concerning the process of making the mess. We use Multi-Agent Modeling, where there are several independent agents with decision-making ability. Each agent has the ability to communicate and perceive for achieving its own aim. We use square grid n × n with objects which can be moved by agents to another places. The degree of disorder of the system is examined by the value of entropy. Using computer simulation, we investigate the time needed to find the desired thing in an environment in which agents (in real life, people) co-exist and they have different tendencies to tidiness. The cost of mess is counted as the number of attempts to access the object in the analyzed system and the time needed to locate the object.

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“…One rather technical point is that physical entropy is an extensive property: that is to say crudely that if an amount of substance has a certain entropy, then twice as much substance will have twice as much entropy. Although this seems sensible for the physical quantity, it does not seem intuitively sensible to suggest that the larger amount of material is “twice as disordered.” To deal with this problem, and the fact that entropy is not always additive, a variety of “extended entropies,” most notably those of Lansberg, Tsallis, Renyi, and Vedral, have been developed, which characterize disorder in somewhat different ways (Davison & Shiner, ); Shterenberg similarly considers new formulations of the entropy concept to relate to ideas of order, orderliness, and organization (), whereas Schneider and Sagan () note such proliferations as metric, topological, algorithmic, and Galois entropies.…”

Section: Entropy and Order; Oddities Paradoxes And New Viewsmentioning

confidence: 99%

“A few exciting words”: Information and entropy revisited

Bawden

Robinson

2015

Asso for Info Science & Tech

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link AbstractA review is presented of the relation between information and entropy, focusing on two main issues: the similarity of the formal definitions of physical entropy, according to statistical mechanics, and of information, according to information theory; and the possible subjectivity of entropy considered as missing information. The paper updates the 1983 analysis of Shaw and Davis. The difference in the interpretations of information given respectively by Shannon and by Wiener, significant for the information sciences, receives particular consideration.Analysis of a range of material, from literary theory to thermodynamics, is used to draw out the issues. Emphasis is placed on recourse to the original sources, and on direct quotation, to attempt to overcome some of the misunderstandings and oversimplifications which have occurred with these topics.While it is strongly related to entropy, information is neither identical with it, nor its opposite. Information is related to order and pattern, but also to disorder and randomness. The relations between information and the 'interesting complexity', which embodies both pattern and randomness, are worthy of attention."A few exciting words": information and entropy revisited THOMASINA: When you stir your rice pudding, Septimus, the spoonful of jam spreads itself round making red trails like the picture of the meteor in my astronomical atlas. But if need stir backward, the jam will not come together again. Indeed, the pudding does not notice and continues to turn pink just as before. Do you think this odd? SEPTIMUS: No THOMASINA: Well, I do. You cannot stir things apart. SEPTIMUS: No more you can, time must needs run backward, and since it will not, we must stir our way onward mixing as we go, disorder out of disorder into disorder until pink is complete, unchanging and unchangeable, and we are done with it forever. This is known as free will or self-determination. Tom Stoppard, Arcadia, (Act 1, Scene 1), London: Faber and Faber, 1993 If information is pattern, the non-information should be the absence of pattern, that is, randomness. This commonsense expectation ran into unexpected complications when certain developments within information theory implied that information could be equated with randomness as well as with pattern. Identifying information with both pattern and randomness proved to be a powerful paradox (Hayles 1999, p. 25) IntroductionThis paper re-examines the relations between information and entropy, a topic of debate for nearly a century. It can be seen as updating, thirty years on, of the analysis of Shaw and Davis (1983), presenting new findings and new perspectives. In order to make proper sense of these, it is necessary to delve into the historical development of the issues. Where possible, we have used quotations from original sources, as this is an area where there has been much misunderstanding ...

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Extended Entropies and Disorder

Cited by 13 publications

References 43 publications

Impaired Distal Thermoregulation in Diabetes and Diabetic Polyneuropathy

Impaired Distal Thermoregulation in Diabetes and Diabetic Polyneuropathy

Modeling the Disorder of Closed System by Multi-Agent Based Simulation

“A few exciting words”: Information and entropy revisited

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