The Reduction of One Random Morphism to an ε-Deterministic One

  • Silviu Guiasu
Part of the International Centre for Mechanical Sciences book series (CISM, volume 86)


A deterministic morphism is a particular case of a random morphism. On the other hand a bijective deterministic morphism (bijection) with the source X and the ending X generates a random morphism with the source and respective ending equal to X/R where R is the equivalence relation. Therefore if we consider a bijection of the set X on itself (i.e. a special case of deterministic morphism) and we pass to a poorer set (the set of equivalence class with respect to a given equivalence relation on X i.e. a partition of X) then a random morphism is obtained.


Minimum Distance Shift Operator Rational Algorithm Hadamard Matrice Hadamard Matrix 
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Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • Silviu Guiasu
    • 1
  1. 1.University of BucharestRomania

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