One-to-one mappings defined by finite transformers
type: Item
instance of: scholarly article
title: One-to-one mappings defined by finite transformers
zbMATH Open document ID: 0874.28012
DOI: 10.1007/BF02366312
author: L. P. Lisovik
published in: Cybernetics and Systems Analysis
publication date: 1997-11-06T00:00:00Z
review text: The author introduces a class of finite algorithms (called \(R\)-transformers) which operate with infinite binary sequences of real numbers. It is shown that such algorithms can be used to construct a singular strictly increasing function and a bijection between the Euclidean plane and a real line. A number of properties of \(R\)-transformers and their inverse maps are discussed.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 03D20
zbMATH DE Number: 921654
zbMATH Keywords: fractal
zbMATH Keywords: singular function
zbMATH Keywords: recursion
reviewed by: Ilya S. Molchanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 921654