Pm Numbers, Ambiguity, and Regularity

نویسندگان

  • Helen Cameron
  • Derick Wood
چکیده

We introduce the pseudo-m-ary (Pm) number system in which numbers are represented by sums of the form ∑ i≥0 ai(m i+1 − 1). We characterize the Pm representations that are produced by the greedy algorithm and show that they form a regular set. In addition, we show that the set of Pm representations that are the sole representations for their corresponding numbers is also a regular set.

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عنوان ژورنال:
  • ITA

دوره 27  شماره 

صفحات  -

تاریخ انتشار 1993