Positional Number System
AC Jha - NUTA Journal, 2020 - nepjol.info
In a positional number system, the numerical value of each symbol depends on its position
in the sequence of digits representing the number. Any integer greater than 1 may serve as …
in the sequence of digits representing the number. Any integer greater than 1 may serve as …
[图书][B] Representations of Integers as Sums of an Even Number of Squares
E Grosswald, E Grosswald - 1985 - Springer
Representations of Integers as Sums of an Even Number of Squares Page 1 Chapter 9
Representations of Integers as Sums of an Even Number of Squares §1. A Sketch of the …
Representations of Integers as Sums of an Even Number of Squares §1. A Sketch of the …
Unique representations of integers by linear forms
Let $ k\ge 2$ be an integer and let $ A $ be a set of nonnegative integers. For a $ k $-tuple of
positive integers $\underline {\lambda}=(\lambda_ {1},\dots {},\lambda_ {k}) $ with …
positive integers $\underline {\lambda}=(\lambda_ {1},\dots {},\lambda_ {k}) $ with …
Number encodings and arithmetics over multisets
In this paper we revise some previously defined nonpositional number encodings using
multisets and their associated arithmetic operations, describing a general …
multisets and their associated arithmetic operations, describing a general …
Minimal expansions in redundant number systems: Fibonacci bases and greedy algorithms
C Heuberger - Periodica Mathematica Hungarica, 2004 - Springer
We study digit expansions with arbitrary integer digits in base q (q integer) and the Fibonacci
base such that the sum of the absolute values of the digits is minimal. For the Fibonacci …
base such that the sum of the absolute values of the digits is minimal. For the Fibonacci …
Counting base phi representations
M Dekking, A van Loon - arXiv preprint arXiv:2304.11387, 2023 - arxiv.org
In a base phi representation a natural number is written as a sum of powers of the golden
mean $\varphi $. There are many ways to do this. How many? Even if the number of powers …
mean $\varphi $. There are many ways to do this. How many? Even if the number of powers …
Alternate Base Numeration Systems
É Charlier - International Conference on Combinatorics on Words, 2023 - Springer
Alternate base numeration systems generalize real base numeration systems as defined by
Renyi. Real numbers are represented using a finite number of bases periodically. Such …
Renyi. Real numbers are represented using a finite number of bases periodically. Such …
Representations of even functions , Arithmetical identities
E Cohen - 1958 - projecteuclid.org
1. Introduction. Let n and r denote integers with r> 0 and let](n) f (n, r) be an arithmetical
function with values in the complex field. We say that f (n, r) is an even (periodic) function of …
function with values in the complex field. We say that f (n, r) is an even (periodic) function of …
Repeating Decimal Expansions in Different Bases.
MJ Bossé, WJ Cook - Electronic Journal of Mathematics & …, 2022 - search.ebscohost.com
Recall that rational numbers are precisely real numbers with repeating decimal expansions.
In this paper, we explore expansions in arbitrary bases and provide an online calculator …
In this paper, we explore expansions in arbitrary bases and provide an online calculator …
[PDF][PDF] Number Systems
SR Chaudhari - 2020 - dspace.moderncollegepune.edu.in
Introduction to decimal, binary and hexadecimal number systems and their inter
conversions, Unsigned and Signed binary number representations, Rules of binary addition …
conversions, Unsigned and Signed binary number representations, Rules of binary addition …