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Browsing Факультет комп'ютерних наук, фізики та математики by Author "Savchenko, А."

Browsing Факультет комп'ютерних наук, фізики та математики by Author "Savchenko, А."

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  • Frechet distance on the set of compact trees 
    Lozinska, O.; Savchenko, А.; Zarichnyi, M.; Савченко, О. Г. (2015)
    We introduce a counterpart of the Fr echet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed.
  • FUZZY HYPERSPACE MONAD 
    Savchenko, А.; Савченко, А.; Савченко, О. Г. (2010)
    The hyperspace of a fuzzy metric space is defined by J. Rodr´ıguez-L´opez and S. Romaguera. In this paper, it is shown that the hyperspace construction determines a functor on the category of fuzzy metric spaces and ...
  • Geodesic mappings of compact quasi-Einstein spaces, I 
    Kiosak, V.; Savchenko, А.; Kovalova, G.; Савченко, О. Г. (2020)
    The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient defining vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these ...
  • Probability measure monad on the category of fuzzy ultrametric spaces 
    Savchenko, А.; Zarichnyi, M.; Савченко, О. Г. (2011)
    It is proved that the probability measure functor comprises a monad on the category of fuzzy ultrametric spaces and nonexpanding maps. It is also proved that the G-symmetric power functor admits an extension on the Kleisli ...
  • Triples of infinite iterations of hyperspaces of maxнplus compact convex sets 
    Savchenko, А.; Zarichnyi, M.; Савченко, О. Г. (2016)
    Geometrу of the innite iterated hуperspace of compact max-plus convex sets, their completions and compactications is investigated.

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