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  1. Journal of Applied and Industrial Mathematics
  2. Journal of Applied and Industrial Mathematics : Volume 5
  3. Journal of Applied and Industrial Mathematics : Volume 5, Issue 3, July 2011
  4. An entropy addition rule for underdetermined data
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Journal of Applied and Industrial Mathematics : Volume 11
Journal of Applied and Industrial Mathematics : Volume 10
Journal of Applied and Industrial Mathematics : Volume 9
Journal of Applied and Industrial Mathematics : Volume 8
Journal of Applied and Industrial Mathematics : Volume 7
Journal of Applied and Industrial Mathematics : Volume 6
Journal of Applied and Industrial Mathematics : Volume 5
Journal of Applied and Industrial Mathematics : Volume 5, Issue 4, October 2011
Journal of Applied and Industrial Mathematics : Volume 5, Issue 3, July 2011
Steady-state oscillations in the continuously inhomogeneous medium described by the Ovsyannikov equation
Some fully polynomial time randomized approximation scheme based on an evolutionary algorithm
Best mean-quasiconformal mappings
On multidimensional models of gene network functioning
On the reconstruction of binary codes from the dimensions of their subcodes
NP-completeness of some problems of choosing a vector subset
Parametrizations of the slow curve in a problem of chemical kinetics
Leibnizian, Robinsonian, and Boolean valued monads
Analytic solution of the Maxwell-Vlasov equations in the skin effect problem with electron-electron collisions
The closure operator in a multivalued logic based on functional equations
Some estimates of the solutions to time-delay differential equations with parameters
Conservation laws for a system of reaction-diffusion type with one spatial variable
Models for the steady-state creep of transversely isotropic materials with different tension and compression characteristics
On orientation-preserving automorphisms of Hamiltonian cycles in the N-dimensional Boolean cube
On some inverse problems for elliptic equations and systems
An entropy addition rule for underdetermined data
Orbits of linear maps and regular languages
Journal of Applied and Industrial Mathematics : Volume 5, Issue 2, April 2011
Journal of Applied and Industrial Mathematics : Volume 5, Issue 1, January 2011
Journal of Applied and Industrial Mathematics : Volume 4
Journal of Applied and Industrial Mathematics : Volume 3
Journal of Applied and Industrial Mathematics : Volume 2
Journal of Applied and Industrial Mathematics : Volume 1

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An entropy addition rule for underdetermined data

Content Provider Springer Nature Link
Author Sholomov, L. A.
Copyright Year 2011
Abstract Some basic information characteristics are introduced for the underdetermined data. For the general form of underdetermined data, it is proved that the entropy addition rule H(X) + H(Y | X) = H(XY) of classic information theory turns into a more complex relation whose form is found. Moreover, the necessary and sufficient conditions for it to coincide with the ordinary entropy addition rule are obtained.
Starting Page 431
Ending Page 447
Page Count 17
File Format PDF
ISSN 19904789
Journal Journal of Applied and Industrial Mathematics
Volume Number 5
Issue Number 3
e-ISSN 19904797
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2011-08-24
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword underdetermined data information characteristics entropy conditional entropy specification best specification entropy addition rule Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics Industrial and Manufacturing Engineering
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