Matches in SemOpenAlex for { <https://semopenalex.org/work/W2018294057> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2018294057 endingPage "525" @default.
- W2018294057 startingPage "505" @default.
- W2018294057 abstract "We study a redundant binary number system that was recently introduced by Székely and Wang. For a natural number n , it is defined as follows: let k satisfy 2 k ⩽ 2 3 n < 2 k + 1 ; then 2 k is subtracted from n , and the expansion continues recursively. It stops, when a power of 2 is reached. For this and more general number systems, where the factor 2/3 is replaced by a general one, we find an explicit formula for the k th digit ε k ∈ { 0 , 1 , 2 } . This allows us to compute the cumulative frequency of a given digit, among the first N integers. Delange's method produces not only the leading term of order N log N , but also the fluctuating term of order N , and the Fourier coefficients of the periodic functions that are involved. Furthermore, we can compute the expansions from right to left , by translating the ordinary binary expansion using a (finite state) transducer, provided the factor (such as 2/3) is rational. In this case, we prove that the periodic function mentioned above is nowhere differentiable." @default.
- W2018294057 created "2016-06-24" @default.
- W2018294057 creator A5014728682 @default.
- W2018294057 creator A5072500485 @default.
- W2018294057 date "2007-05-01" @default.
- W2018294057 modified "2023-09-27" @default.
- W2018294057 title "On α-greedy expansions of numbers" @default.
- W2018294057 cites W1489334134 @default.
- W2018294057 cites W1586417893 @default.
- W2018294057 cites W1587217691 @default.
- W2018294057 cites W1934270199 @default.
- W2018294057 cites W1981856985 @default.
- W2018294057 cites W1982442868 @default.
- W2018294057 cites W1990992047 @default.
- W2018294057 cites W1998411156 @default.
- W2018294057 cites W2002459766 @default.
- W2018294057 cites W2028435095 @default.
- W2018294057 cites W2034555731 @default.
- W2018294057 cites W2039343706 @default.
- W2018294057 cites W2045761215 @default.
- W2018294057 cites W2093980096 @default.
- W2018294057 cites W2114765097 @default.
- W2018294057 cites W2127446515 @default.
- W2018294057 cites W2164789958 @default.
- W2018294057 cites W2184850624 @default.
- W2018294057 cites W2752853835 @default.
- W2018294057 cites W2752885492 @default.
- W2018294057 cites W3021014091 @default.
- W2018294057 doi "https://doi.org/10.1016/j.aam.2006.08.005" @default.
- W2018294057 hasPublicationYear "2007" @default.
- W2018294057 type Work @default.
- W2018294057 sameAs 2018294057 @default.
- W2018294057 citedByCount "7" @default.
- W2018294057 countsByYear W20182940572012 @default.
- W2018294057 countsByYear W20182940572013 @default.
- W2018294057 countsByYear W20182940572016 @default.
- W2018294057 crossrefType "journal-article" @default.
- W2018294057 hasAuthorship W2018294057A5014728682 @default.
- W2018294057 hasAuthorship W2018294057A5072500485 @default.
- W2018294057 hasBestOaLocation W20182940571 @default.
- W2018294057 hasConcept C114614502 @default.
- W2018294057 hasConcept C28826006 @default.
- W2018294057 hasConcept C33923547 @default.
- W2018294057 hasConceptScore W2018294057C114614502 @default.
- W2018294057 hasConceptScore W2018294057C28826006 @default.
- W2018294057 hasConceptScore W2018294057C33923547 @default.
- W2018294057 hasIssue "4" @default.
- W2018294057 hasLocation W20182940571 @default.
- W2018294057 hasLocation W20182940572 @default.
- W2018294057 hasOpenAccess W2018294057 @default.
- W2018294057 hasPrimaryLocation W20182940571 @default.
- W2018294057 hasRelatedWork W1978042415 @default.
- W2018294057 hasRelatedWork W1993700123 @default.
- W2018294057 hasRelatedWork W1996810073 @default.
- W2018294057 hasRelatedWork W2017331178 @default.
- W2018294057 hasRelatedWork W2089811522 @default.
- W2018294057 hasRelatedWork W2092244978 @default.
- W2018294057 hasRelatedWork W2351859806 @default.
- W2018294057 hasRelatedWork W2976797620 @default.
- W2018294057 hasRelatedWork W3086542228 @default.
- W2018294057 hasRelatedWork W4239376463 @default.
- W2018294057 hasVolume "38" @default.
- W2018294057 isParatext "false" @default.
- W2018294057 isRetracted "false" @default.
- W2018294057 magId "2018294057" @default.
- W2018294057 workType "article" @default.