A curious property of series involving terms of generalized sequences.
Brugia, Odoardo, Filipponi, Piero (2000)
International Journal of Mathematics and Mathematical Sciences
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Brugia, Odoardo, Filipponi, Piero (2000)
International Journal of Mathematics and Mathematical Sciences
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Karol Pąk (2014)
Formalized Mathematics
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In this article we formalize the Bertrand’s Ballot Theorem based on [17]. Suppose that in an election we have two candidates: A that receives n votes and B that receives k votes, and additionally n ≥ k. Then this theorem states that the probability of the situation where A maintains more votes than B throughout the counting of the ballots is equal to (n − k)/(n + k). This theorem is item #30 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/. ...
S. A. Burr, P. Erdős, R. L. Graham, W. Wen-Ching Li (1996)
Acta Arithmetica
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Katsumi Wasaki (2008)
Formalized Mathematics
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To evaluate our formal verification method on a real-size calculation circuit, in this article, we continue to formalize the concept of the 4-2 Binary Addition Cell primitives (FTAs) to define the structures of calculation units for a very fast multiplication algorithm for VLSI implementation [11]. We define the circuit structure of four-types FTAs, TYPE-0 to TYPE-3, using the series constructions of the Generalized Full Adder Circuits (GFAs) that generalized adder to have for each positive...
Anatoly Zhigljavsky, Iskander Aliev (1999)
Acta Arithmetica
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Pyrkin, S.G. (2000)
Sibirskij Matematicheskij Zhurnal
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Zeév Rudnick, Alexandru Zaharescu (1999)
Acta Arithmetica
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Christoph Baxa (1997)
Acta Arithmetica
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Peter Hellekalek, Hannes Leeb (1997)
Acta Arithmetica
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Gajlit, E.V. (2002)
Sibirskij Matematicheskij Zhurnal
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