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Displaying article 1-8
p. 55-68
Received: 9 February 1999 / Accepted: 9 April 1999 / Published: 6 October 1999
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| Download PDF Full-text (200 KB) Abstract: The work presents experimental confirmation of the author's thermodynamic theory of the biological evolution and aging of living beings. It shows that using the law of temporal hierarchies and the second law of thermodynamics, it is easy to describe biological evolution (phylogeny) and ontogeny in terms of equilibrium hierarchical thermodynamics. This theory explains many known facts and makes it possible to formulate new practical recommendations in the sphere of medical and biological disciplines, for instance, dietology, gerontology, and geriatrics. Using the models of temporal hierarchies when studying living nature, researchers can go a long way towards understanding it.
p. 69-98
Received: 20 September 1999 / Accepted: 20 October 1999 / Published: 30 October 1999
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| Download PDF Full-text (268 KB) Abstract: The topic of this paper is a novel Bayesian continuous-basis field representation and inference framework. Within this paper several problems are solved: The maximally informative inference of continuous-basis fields, that is where the basis for the field is itself a continuous object and not representable in a finite manner; the tradeoff between accuracy of representation in terms of information learned, and memory or storage capacity in bits; the approximation of probability distributions so that a maximal amount of information about the object being inferred is preserved; an information theoretic justification for multigrid methodology. The maximally informative field inference framework is described in full generality and denoted the Generalized Kalman Filter. The Generalized Kalman Filter allows the update of field knowledge from previous knowledge at any scale, and new data, to new knowledge at any other scale. An application example instance, the inference of continuous surfaces from measurements (for example, camera image data), is presented.
p. 99-110
Received: 9 February 1999 / Accepted: 9 April 1999 / Published: 25 October 1999
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| Download PDF Full-text (81 KB) Abstract: A Bayesian measure of evidence for precise hypotheses is presented. The intention is to give a Bayesian alternative to significance tests or, equivalently, to p-values. In fact, a set is defined in the parameter space and the posterior probability, its credibility, is evaluated. This set is the "Highest Posterior Density Region" that is "tangent" to the set that defines the null hypothesis. Our measure of evidence is the complement of the credibility of the "tangent" region.
p. 111-117
Received: 19 October 1999 / Accepted: 26 October 1999 / Published: 30 October 1999
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| Download PDF Full-text (27 KB) Abstract: This paper, the first in a series of four, will expose the lack of inner consistency of the analysis through which Clausius re-expressed the second law of thermodynamics: "Heat cannot, of itself, pass from a colder to a hotter body", as the law of increasing entropy: "The entropy of the universe tends to a maximum". In the two following papers the flaw in Clausius analysis producing the said lack of consistency will be located, corrected and some of its consequences, discussed. Among them the one stating that the identification of the two above written statements of the second law is valid only under certain circumstances. In the fourth and final
p. 118-125
Received: 19 October 1999 / Accepted: 26 October 1999 / Published: 30 October 1999
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| Download PDF Full-text (37 KB) Abstract: The values associated to Clausius transformations are obtained through an analysis different to that of Clausius inasmuch it does not introduce any assumption or condition as to what the combined value of the transformations in a reversible cyclical process should be. The values thus obtained allow for the identification of the flaw in Clausius work leading to the inconsistency discussed in part I of this series.
p. 126-137
Received: 19 October 1999 / Accepted: 26 October 1999 / Published: 30 October 1999
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| Download PDF Full-text (54 KB) Abstract: Carnot's reversible cycle net value was determined using the previously derived values for the transformations there occurring. A negative net value is obtained as a result, in contradiction with current thermodynamics, Clausius analysis based position that the net value for such a cycle is zero. The entropy function is introduced and the new criterion's for spontaneity, reversibility and equilibrium are advanced.
p. 138-147
Received: 19 October 1999 / Accepted: 26 October 1999 / Published: 30 October 1999
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| Download PDF Full-text (40 KB) Abstract: Clausius arguments advanced to prove that in a reversible cyclical process the combined value of all the transformations therein occurring must be equal to nothing, are here refuted.
p. 148-149
Received: 7 September 1999 / Published: 1 December 1999
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| Download PDF Full-text (8 KB) Abstract: n/a
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