This paper works with representations of natural numbers from 0 to 11111 written in terms of
expressions with additions, subtractions and exponents. Digits used are from 1 to 9 in such a …

arXiv:2002.10824v3 [math.DS] 1 Feb 2024 Page 1 Expansions of real numbers with respect to
two integer bases Jörg Neunhäuserer joerg.neunhaeuserer@web.de Abstract We introduce …

This paper brings natural numbers from 25001 to 30000 written in ascending and
descending orders of 1 to 9. Most of the numbers are obtained by using basic operations …

Some Issues on Linear Numeration Systems Page 1 IOSR Journal of Mathematics (IOSR-JM)
e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 15, Issue 6 Ser. IV (Nov – Dec 2019), PP …

The decimal expansion of a number is its representation in base-10 (ie, in the decimal
system). In this system, each" decimal place" consists of a digit 0-9 arranged such that each …

There are many ways to represent a number, commonly known as base expansions. The
most frequently used base is ten, which is the basis for our decimal number system …

In Signal Processing and Cryptography a non-standard number representation, called
Double Base Number System (DBNS) has found many applications. This representation has …

This paper brings natural numbers from 20001 to 30000 written in ascending and
descending orders of 1 to 9. Most of the numbers are obtained by using basic operations …

i= 1 xi qi with the coefficients xi belonging to a finite set of positive real values named
alphabet and the ratio q, named base, being either a real or a complex number. To ensure …

Let (un) n be a linear recurrence sequence of integers and let b> 1 be a natural number. In
this paper, we show that under some mild technical assumptions the base b expansion of …