Results on Functions on Dedekind Multisets

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Results on Functions on Dedekind Multisets

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Results on Functions on Dedekind Multisets

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10700 - Other natural sciences

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

SYMMETRY-BASEL

ISSN

2073-8994

e-ISSN

2073-8994

Svazek periodika

11

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

9

Strana od-do

1125

Kód UT WoS článku

000489177900061

EID výsledku v databázi Scopus

2-s2.0-85071949307