REAL

Linkages between the Gauss Map and the Stern-Brocot Tree

Bates, Bruce and Bunder, Martin and Tognetti, Keith (2006) Linkages between the Gauss Map and the Stern-Brocot Tree. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 22 (3). pp. 217-235. ISSN 0866-0174

[img]
Preview
Text
amapn22_22.pdf

Download (455kB) | Preview

Abstract

We discover a bijective map between the Gauss Map and the left-half of the Stern-Brocot Tree. The domain of the Gauss Map is then extended to cover all reals, and the coverage of the Stern-Brocot Tree is extended to include all positive and negative rationals in a manner that preserves the map between the two constructions.

Item Type: Article
Uncontrolled Keywords: Gauss Map, Stern-Brocot Tree
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 31 Jan 2024 15:11
Last Modified: 31 Jan 2024 15:11
URI: http://real.mtak.hu/id/eprint/186884

Actions (login required)

Edit Item Edit Item