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Chapter
Applications of Functional Equations and Inequalities to Information Theory
1. The present exposition is devoted to the motivations of a quite general system of functional equations in the foundations of Information Theory without probability. We shall deal with the concepts of uncert...
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Chapter and Conference Paper
Model Building as an Inverse Problem in Biomathematics
The problem of modelling a biological system should be revisited as an inverse problem. Namely:
given a set of observed properties exhibited by the system, the problem is the identification of ...
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Chapter
Image Segmentation by Minimum Information Loss
The grey colour in a picture is a tool to convey information about the subject. The transition from the original image to its digitized version, by thresholding its grey levels, yields a loss of information- F...
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Chapter
Maximum Expected Information (MEI) Discretization Method for Spatial Data Analysis
The objective of this study is to establish the degree of stochastic independence of the two random variables coordinates X and Y on the basis of their pictorial representation. Theoretically the method that i...
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Article
A representation theorem for entropies with the branching property
Using a recent result by B. Ebanks on the functional equation $$h(x,y) + h(x + y,z) = h(x,y + z) + h(y,z)$$ we deriv...
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Article
Additive and subadditive entropies for discreten-dimensional random vectors
A measure of the amount of uncertainty (entropy) associated with a (discrete) randomn-vector should take into account all kinds of “information” that is provided. In particular, it should depend both on the range...
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Article
Entropies with the branching property
It is proved that every entropy with the property of branching has the form \(\sum\limits_{i = 1}^u {f[J(A_i )] - f(0)} \) ...
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Article
On a triangular functional equation and some applications, in particular to the generalized theory of information
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Article
Measures of ignorance, information and uncertainty. Part I
In Part I, the concepts: «ignorance abont one object» and «conditional information provided by one event», are motivated and developed. In Part II those of «uncertainty» and «expected information». Further the...
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Article
On a system of functional equations in information theory
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Article
Sull'informazione associata alle esperienze incomplete
Nell'ambito della teoria dell'informazione senza probabilità, si propone una definizione assiomatica dell'informazione associata ad esperienze incomplete.
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Article
Sopra un sistema di equazioni funzionali nella teoria dell'informazione
Si stabiliscono alcune proprietà riguardanti i valori al contorno delle soluzioni di un sistema di equazioni funzionali connesso con la teoria dell'informazione senza probabilità. Si ottiene poi in particolare...
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Article
On the stress-strain relation in the formal theory of anelasticity
The Author examines the different consequences of physical interest in a theory of relaxation phenomena hased on a linear differential relation between stress and strain of order higher than one.
