Linear problems for systems of difference equations
Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Kenichi Arai, Ken Wakabayashi, Hiroyuki Okazaki (2014)
Formalized Mathematics
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In [11], the definitions of forward difference, backward difference, and central difference as difference operations for functions on R were formalized. However, the definitions of forward difference, backward difference, and central difference for functions on vector spaces over F have not been formalized. In cryptology, these definitions are very important in evaluating the security of cryptographic systems [3], [10]. Differential cryptanalysis [4] that undertakes a general purpose...
Z. Kowalski (1965)
Annales Polonici Mathematici
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Tadeusz Rumak (1972)
Annales Polonici Mathematici
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Bo Li, Yan Zhang, Xiquan Liang (2006)
Formalized Mathematics
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In this article, we give the definitions of forward difference, backward difference, central difference and difference quotient, and some of their important properties.
S. P. Hastings (1967)
Annales Polonici Mathematici
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M. Stojaković (1969)
Matematički Vesnik
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Yu. L. Maistrenko (1989)
Banach Center Publications
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Jaroslav Janko (1948)
Aktuárské vědy
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Rafał Filipów (2003)
Colloquium Mathematicae
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We show that, generally, families of measurable functions do not have the difference property under some assumption. We also show that there are natural classes of functions which do not have the difference property in ZFC. This extends the result of Erdős concerning the family of Lebesgue measurable functions.
Herceg, Dragoslav, Krejić, Nataša, Maličić, Helena (2000)
Novi Sad Journal of Mathematics
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Gordeziani, E., Gordeziani, D. (2000)
Bulletin of TICMI
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