ISSN 1812-7231 Klin.inform.telemed. Volume 7, Issue 8, 2011, Pages 7-9
A. V. Martynenko1, M. V. Martynenko2
1The V. N. Karasin Kharkiv National University, Ukraine
2Kharkiv National University of Economics, Ukraine
Mathematical approach to information and knowledge
The article introduced the basic axioms of the mathematical theory of information: from the elementary volume of information to the point of information and information ensemble of any size and complexity. It is shown that the current configuration of the information ensemble correlates with the contents of space, which is configured at the current time. It was present relations for the density of information at any point in the ensemble and noted that under certain assumptions, information density is determined only by the history of the information ensemble. It was written in the principle of conservation of information for open informational ensemble and the expression of the second law of thermodynamics for the transformation of information into energy was obtained too. The assessment of the effectiveness of the information to energy transformation was done and it is shown that "knowledge" in simple physical system — is the part of the information that can be transformed into energy in accordance to the laws of thermodynamics. The probabilistic interpretation of the effectiveness of information to energy transformation was given, which introduces the value of knowledge through the formula for Shannon's information. Submitted relations are fundamental for the understanding and presentation of applied informatics sciences disciplines such us medical informatics.
information, conservative law, thermodynamics, knowledge
1. N. Wiener. Cybernetics. MIT Press, 1965. 212 p.
2. S. Toyabe, T. Sagawa, M. Ueda, E. Muneyuki, and M. Sano. Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality, Nature Physics 6, 988 (2010).
3. C. Truesdell. A first course in rational continuum mechanic. Academic Press, 1976. 295 p
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