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math.NT2017
Weighted Mediants and Fractals
Dhroova Aiylam, Tanya Khovanova
In this paper we study a natural generalization of the Stern-Brocot sequences which comes from the introduction of weighted mediants. We focus our attention on the case , in…
math.NT2015★ 1 cited
Stern-Brocot Trees from Weighted Mediants
Dhroova Aiylam, Tanya Khovanova
In this paper we discuss a natural generalization of the Stern Brocot tree which comes from the introduction of weighted mediants. We focus our attention on the case , in wh…
math.NT2013★ 1 cited
Modified Stern-Brocot Sequences
Dhroova Aiylam
We present the classical Stern-Brocot tree and provide a new proof of the fact that every rational number between 0 and 1 appears in the tree. We then generalize theStern-Brocot tr…