Search results for "badly approximable"

ISODECIMAL NUMBERS

2006

The aim of this paper is to investigate pairs of real numbers of the type $(x,\frac{1}{x}),$ \ $(x,\frac{a}{x})$ and $(x,x^{2}),$ where the first component is a real number $x\neq0$ and the fractional parts of the coordinates are equal. We call such numbers \textit{isodecimal}.