Elementary sequences.
Beslin, Scott J. (1992)
International Journal of Mathematics and Mathematical Sciences
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Beslin, Scott J. (1992)
International Journal of Mathematics and Mathematical Sciences
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G. Kreisel (1968)
Compositio Mathematica
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Applegate, David, Cloitre, Benoit, Deléham, Philippe, Sloane, N.J.A. (2005)
Journal of Integer Sequences [electronic only]
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Mercer, A.McD. (1978)
International Journal of Mathematics and Mathematical Sciences
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Grzegorz Bancerek (2007)
Formalized Mathematics
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Algorithms and its parts - instructions - are formalized as elements of if-while algebras. An if-while algebra is a (1-sorted) universal algebra which has 4 operations: a constant - the empty instruction, a binary catenation of instructions, a ternary conditional instruction, and a binary while instruction. An execution function is defined on pairs (s, I), where s is a state (an element of certain set of states) and I is an instruction, and results in states. The execution function obeys...
Freek Wiedijk (2007)
Formalized Mathematics
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A formalization of the first proof from [6].
Benito, Manuel, Creyaufmüller, Wolfgang, Varona, Juan L., Zimmermann, Paul (2002)
Experimental Mathematics
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Benedikt Löwe (2002)
Fundamenta Mathematicae
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The author computes the Kleinberg sequences derived from the three different normal ultrafilters on δ₃¹.
Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama, Hiroyuki Okazaki (2007)
Formalized Mathematics
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In this article, we extended properties of sequences of real numbers to sequences of extended real numbers. We also introduced basic properties of the inferior limit, superior limit and convergence of sequences of extended real numbers.
Adams-Watters, Franklin T., Ruskey, Frank (2009)
Journal of Integer Sequences [electronic only]
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L. J. Stanley (1976)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Kit-Ho Mak, Alexandru Zaharescu (2016)
Acta Arithmetica
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In an earlier paper Gyarmati introduced the notion of f-correlation for families of binary pseudorandom sequences as a measure of randomness in the family. In this paper we generalize the f-correlation to families of pseudorandom sequences of k symbols and study its properties.