| Title: | Stern polynomials |
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| Authors: | ID Klavžar, Sandi (Author)
ID Milutinović, Uroš (Author)
ID Petr, Ciril (Author) |
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| Files: |  http://www.imfm.si/preprinti/PDF/00994.pdf
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| Language: | English |
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| Work type: | Not categorized |
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| Organization: | PEF - Faculty of Education
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| Abstract: | Sternovi polinomi ▫$B_k(t)$▫, ▫$k ge 0$▫, ▫$t in RR$▫, so vpeljani na naslednji način: ▫$B_0(t) = 0$▫, ▫$B_1(t) = 1$▫, ▫$B_{2n}(t) = tB_n(t)$▫ in ▫$B_{2n+1}(t) = B_{n+1}(t) + B_n(t)$▫. Pokazano je, da ima ▫$B_n(t)$▫ enostavno eksplicitno reprezentacijo s hiperebinarnimi reprezentacijami ▫$n-1$▫ in da je odvod ▫$B'_{2n-1}(0)$▫ enak številu enic v standardni Grayjevi kodi za ▫$n-1$▫. Dokazano je tudi, da je stopnja polinoma ▫$B_n(t)$▫ enaka razliki med dolžino in težo nesosednje predstavitve števila ▫$n$▫. |
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| Keywords: | matematika, Sternovo (dvoatomsko) zaporedje, Sternovi polinomi, hiperbinarna reprezentacija, standardna Grayjeva koda, nesosednja predstavitev, mathematics, Stern (diatomic) sequence, Stern polynomials, hyperbinary representation, standard Gray code, non-adjacent form |
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| Year of publishing: | 2005 |
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| Number of pages: | str. 1-11 |
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| Numbering: | Vol. 43, št. 994 |
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| PID: | 20.500.12556/DKUM-49373  |
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| ISSN: | 1318-4865 |
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| UDC: | 511.217 |
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| COBISS.SI-ID: | 13805913 |
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| NUK URN: | URN:SI:UM:DK:22K1ZGTT |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1956 |
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| Downloads: | 44 |
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| Metadata: |    |
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| Categories: | Misc.
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