On a characterization of the Shannon entropy
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Marzena Kosno, Dominik Szynal (1991)
Kybernetika
Ferdinand Österreicher (1996)
Kybernetika
Priti Jain, R. K. Tuteja (1987)
Kybernetika
Clelia De Felice (2006)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
It is known that the class of factorizing codes, i.e., codes satisfying the factorization conjecture formulated by Schützenberger, is closed under two operations: the classical composition of codes and substitution of codes. A natural question which arises is whether a finite set of operations exists such that each factorizing code can be obtained by using the operations in and starting with prefix or suffix codes. is named here a complete set of operations (for factorizing codes). We show...
Clelia De Felice (2010)
RAIRO - Theoretical Informatics and Applications
It is known that the class of factorizing codes, i.e., codes satisfying the factorization conjecture formulated by Schützenberger, is closed under two operations: the classical composition of codes and substitution of codes. A natural question which arises is whether a finite set O of operations exists such that each factorizing code can be obtained by using the operations in O and starting with prefix or suffix codes. O is named here a complete set of operations (for factorizing codes). We show...
Ludvík Prouza (1978)
Kybernetika
Carlo-Romano Grisanti (2001)
Rendiconti del Seminario Matematico della Università di Padova
Wolfgang Sander (1986)
Manuscripta mathematica
Palaniappan Kannappan, Prasanna K. Sahoo (1985)
Stochastica
This is a part of a recent program by a number of authors to study information measures on open domain. In this series, this paper is devoted to the study of the functional equation (2) on an open domain. This functional equation is connected to the weighted entropy and weighted entropy of degree a.
Palaniappan Kannappan, Prasanna K. Sahoo (1986)
Kybernetika
Pl. Kannappan (1974)
Aequationes mathematicae
Pl. Kannappan (1974)
Aequationes mathematicae
Sándor Veres (1982)
Aequationes mathematicae
C.T. Ng (1985)
Aequationes mathematicae
Prasanna K. Sahoo (1986)
Kybernetika
Palaniappan Kannappan (1983)
Stochastica
The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...
Pl. Kannappan (1985)
Aequationes mathematicae
Pl. Kannappan (1988)
Annales Polonici Mathematici
Palaniappan Kannappan, Pushpa Narayan Rathie (1974)
Czechoslovak Mathematical Journal
Ludvík Prouza (1984)
Kybernetika
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