A1 Refereed original research article in a scientific journal
COMPOSITIONAL REPRESENTATION OF RATIONAL FUNCTIONS
Authors: HARJU T, KLEIJN HCM, LATTEUX M
Publisher: DUNOD
Publication year: 1992
Journal:: RAIRO: Informatique Théorique et Applications / RAIRO: Theoretical Informatics and Applications
Journal name in source: RAIRO-INFORMATIQUE THEORIQUE ET APPLICATIONS-THEORETICAL INFORMATICS AND APPLICATIONS
Journal acronym: RAIRO-INF THEOR APPL
Volume: 26
Issue: 3
First page : 243
Last page: 255
Number of pages: 13
ISSN: 0988-3754
DOI: https://doi.org/10.1051/ita/1992260302431
Abstract
The rational functions are shown to coincide with the compositions of endmarkings, morphisms and inverses of injective morphisms. To represent a rational function tau we need one ednmarking mu(m), two morphisms-alpha-1, alpha-3 and one inverse of an injective morphism-alpha-2 and then tau = mu(m) alpha-1 alpha-2(-1) alpha-3.
The rational functions are shown to coincide with the compositions of endmarkings, morphisms and inverses of injective morphisms. To represent a rational function tau we need one ednmarking mu(m), two morphisms-alpha-1, alpha-3 and one inverse of an injective morphism-alpha-2 and then tau = mu(m) alpha-1 alpha-2(-1) alpha-3.