Representation for Complex Numbers Page 1 Communication WN Holmes Representation
for Complex Numbers Abstract: This communication suggests the feasibility of a single-component …

Construction of generalized normal numbers Page 1 Pacific Journal of Mathematics
CONSTRUCTION OF GENERALIZED NORMAL NUMBERS FJ MARTINELLI Vol. 76, No. 1 …

Expansions in noninteger positive bases have been intensively investigated since the
pioneering works of R\'enyi (1957) and Parry (1960). The discovery of surprising unique …

We study some properties of non-standard numeration systems with an irrational base ß> 1,
based on the so-called beta-expansions of real numbers [1]. We discuss two important …

BBP-type formulas are usually discovered experimentally, one at a time and in specific
bases, through computer searches. In this paper, however, we derive explicit digit extraction …

Arithmetic Sequences and Beyond Page 1 Arithmetic Sequences and Beyond Research
Report#: Ren-2-2022 Author: Liwei Ren Date: 8/25/2022 Version: 5 Page 2 1. Introduction This …

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 …

This paper brings natural numbers from 5001 to 10000 in terms of Fibonacci and s-gonal
numbers, in particular, triangular and square values. In case of triangular and square …

Measuring the complexity of real numbers is of major importance in computer science, for
the purpose of knowing which computations are allowed. Consider a non-computable real …

Any system that is used for naming or representing numbers is a number system, also
known as numeral system. The modern civilization is familiar with decimal number system …