REPOZYTORIUM UNIWERSYTETU
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dc.contributor.authorSchwarzweller, Christoph-
dc.date.accessioned2026-09-18T10:06:48Z-
dc.date.available2026-09-18T10:06:48Z-
dc.date.issued2008-
dc.identifier.citationFormalized Mathematics, Volume 16, Issue 3, 2008, Pages 247-252pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/21063-
dc.description.abstractIn this article we show the correctness of integer arithmetic based on Chinese Remainder theorem as described e.g. in [11]: Integers are transfor med to finite sequences of modular integers, on which the arithmetic operations are performed. Retransformation of the results to the integers is then accomplished by means of the Chinese Remainder theorem. The method presented is a typical example for computing in homomorphic images.pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rightsAttribution-ShareAlike 4.0 Internationalpl
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleModular Integer Arithmeticpl
dc.typeArticlepl
dc.rights.holder© 2009 Christoph Schwarzweller, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons License.pl
dc.identifier.doi10.2478/v10037-008-0029-8-
dc.description.AffiliationInstitute of Computer Science, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Polandpl
dc.description.referencesGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.pl
dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.pl
dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finitesequences. Formalized Mathematics, 1(1):107–114, 1990.pl
dc.description.referencesCzesław Byliński. Binary operations. Formalized Mathematics, 1(1):175–180, 1990.pl
dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.pl
dc.description.referencesCzesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661–668, 1990.pl
dc.description.referencesArtur Korniłowicz. On the real valued functions. Formalized Mathematics, 13(1):181–187, 2005.pl
dc.description.referencesRafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relative primes. Formalized Mathematics, 1(5):829–832, 1990.pl
dc.description.referencesMichał J. Trybulec. Integers. Formalized Mathematics, 1(3):501–505, 1990.pl
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
dc.description.referencesJ. von zur Gathen and J. Gerhard. Modern Computer Algebra. Cambridge University Press, 1999.pl
dc.identifier.eissn1898-9934-
dc.description.volume16pl
dc.description.issue3pl
dc.description.firstpage247pl
dc.description.lastpage252pl
dc.identifier.citation2Formalized Mathematicspl
Występuje w kolekcji(ach):Formalized Mathematics, 2008, Volume 16, Issue 3

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