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Results on Functions on Dedekind Multisets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F19%3A00537101" target="_blank" >RIV/60162694:G43__/19:00537101 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.mdpi.com/2073-8994/11/9/1125" target="_blank" >https://www.mdpi.com/2073-8994/11/9/1125</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/sym11091125" target="_blank" >10.3390/sym11091125</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Results on Functions on Dedekind Multisets

  • Original language description

    Many real-life problems are well represented only by sets which allow repetition(s), such as the multiset. Although not limited to the following, such cases may arise in a database query, chemical structures and computer programming. The set of roots of a polynomial, say f(x) , has been found to correspond to a multiset, say F. If f(x) and g(x) are polynomials whose sets of roots respectively correspond to the multisets F(x) and G(x) , the set of roots of their product, f(x)g(x) , corresponds to the multiset F⊎G , which is the sum of multisets F and G. In this paper, some properties of the algebraic sum of multisets ⊎ and some results on selection are established. Also, the count function of the image of any function on Dedekind multisets is defined and some of its properties are established. Some applications of these multisets are also given.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10700 - Other natural sciences

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    SYMMETRY-BASEL

  • ISSN

    2073-8994

  • e-ISSN

    2073-8994

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    9

  • Pages from-to

    1125

  • UT code for WoS article

    000489177900061

  • EID of the result in the Scopus database

    2-s2.0-85071949307