Stern–Brocot tree

Known as: Farey tree, Stern Brocot tree, Stern-brocot tree 
In number theory, the Stern–Brocot tree is an infinite complete binary tree in which the vertices correspond one-for-one to the positive rational… (More)
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
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… (More)
Is this relevant?
2015
2015
The Stern-Brocot tree contains all rational numbers exactly once and in their lowest terms. We formalise the Stern-Brocot tree as… (More)
  • figure 1
Is this relevant?
2012
2012
The Stern-Brocot tree (or rather half of it) can be defined as follows. Start with two fractions 0/1 and 1/1, forming an ordered… (More)
Is this relevant?
2012
2012
We use child’s addition and cross-differencing to discover significant relationships for diagonals, paths and branches within the… (More)
Is this relevant?
Review
2012
Review
2012
We study the global organization of oscillations in sigmoidal maps, a class of models which reproduces complex locking behaviors… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2010
2010
In this paper we discover an efficient method for answering two related questions involving the Stern–Brocot tree: What is the… (More)
  • figure 1
Is this relevant?
2010
2010
Links between the Calkin-Wilif tree and the Stern-Brocot tree are discussed answering the questions: What is the jth vertex in… (More)
Is this relevant?
2009
2009
Given positive integers a, b and c to compute a generating system for the numerical semigroup whose elements are all positive… (More)
Is this relevant?
2007
2007
In this paper we present the Stern–Brocot tree as a basis for performing exact arithmetic on rational numbers. There exists an… (More)
  • figure 1
Is this relevant?
2005
2005
The aim of this paper is to propose a natural definition of a winding number for a m-note mode, generalizing the concept of well… (More)
  • figure 1
  • figure 2
Is this relevant?