W BIAŁYMSTOKU
Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji:
http://hdl.handle.net/11320/21438Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Niimura, Masaaki | - |
| dc.contributor.author | Fuwa, Yasushi | - |
| dc.date.accessioned | 2026-11-05T09:52:39Z | - |
| dc.date.available | 2026-11-05T09:52:39Z | - |
| dc.date.issued | 2004 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 12, Issue 1, Pages 5-8 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/21438 | - |
| dc.description.abstract | In this article, magnitude relation properties of Radix-2ᵏ SD number are discussed. Until now, the Radix-2ᵏ SD Number has been proposed for the high-speed calculations for RSA Cryptograms. In RSA Cryptograms, many modulo calculations are used, and modulo calculations need a comparison between two numbers. In this article, we discuss magnitude relation of Radix-2ᵏ SD Number. In the first section, we present some useful theorems for operations of Radix-2ᵏ SD Number. In the second section, we prove some properties of the primary numbers expressed by Radix-2ᵏ SD Number such as 0, 1, and Radix(k). In the third section, we prove primary magnitude relations between two Radix-2ᵏ SD Numbers. In the fourth section, we define Max/Min numbers in some cases. And in the last section, we prove some relations between the addition of Max/Min numbers. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | CC BY-SA 4.0 | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | Magnitude Relation Properties of Radix-2ᵏ SD Number | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2005 University of Białystok | pl |
| dc.rights.holder | This work is licensed under the Creative Commons License. | pl |
| dc.description.Affiliation | Masaaki Niimura - Shinshu University, Nagano | pl |
| dc.description.Affiliation | Yasushi Fuwa - Shinshu University, Nagano | pl |
| dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990. | pl |
| dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990. | pl |
| dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55–65, 1990. | pl |
| dc.description.references | Yoshinori Fujisawa and Yasushi Fuwa. Definitions of radix-2ᵏ signed-digit number and its adder algorithm. Formalized Mathematics, 9(1):71–75, 2001. | pl |
| dc.description.references | Andrzej Kondracki. The Chinese Remainder Theorem. Formalized Mathematics, 6(4):573–577, 1997. | pl |
| dc.description.references | Takaya Nishiyama and Yasuho Mizuhara. Binary arithmetics. Formalized Mathematics, 4(1):83–86, 1993. | pl |
| dc.description.references | Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9–11, 1990. | pl |
| dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990. | pl |
| dc.description.volume | 12 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 5 | pl |
| dc.description.lastpage | 8 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2004, Volume 12, Issue 1 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| Magnitude_Relation_Properties_of_Radix_2k_SC_Number.pdf | 76,2 kB | Adobe PDF | Otwórz |
Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL
