Additively transtable conic sections with respect to fixed coefficients

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F25%3A63597940" target="_blank" >RIV/70883521:28140/25:63597940 - isvavai.cz</a>

Výsledek na webu

<a href="https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/13297/pdf" target="_blank" >https://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/13297/pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.22190/FUMI241203072C" target="_blank" >10.22190/FUMI241203072C</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Additively transtable conic sections with respect to fixed coefficients

Popis výsledku v původním jazyce

The arithmetic mean has several important properties. One of them preserves the result of the arithmetic mean. That is, if one value increases and another decreases, the result of the arithmetic mean is the same. This property is called transfer stability, transtability for short. We can see its reach in several mathematical theories. The most common use is with aggregation functions. This article aims to show another use of this property, specifically in the geometry of conic sections. We have outlined how the transtability of a conic section works. The main idea was to find a common property for conic sections connected by transtability. We found that these conics have the same common intersection and the set of all centers forms a conic.

Název v anglickém jazyce

Additively transtable conic sections with respect to fixed coefficients

Popis výsledku anglicky

The arithmetic mean has several important properties. One of them preserves the result of the arithmetic mean. That is, if one value increases and another decreases, the result of the arithmetic mean is the same. This property is called transfer stability, transtability for short. We can see its reach in several mathematical theories. The most common use is with aggregation functions. This article aims to show another use of this property, specifically in the geometry of conic sections. We have outlined how the transtability of a conic section works. The main idea was to find a common property for conic sections connected by transtability. We found that these conics have the same common intersection and the set of all centers forms a conic.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Facta Universitatis-Series Mathematics and Informatics

ISSN

0352-9665

e-ISSN

2406-047X

Svazek periodika

40

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

RS - Srbská republika

Počet stran výsledku

23

Strana od-do

1041-1063

Kód UT WoS článku

001654850500008

EID výsledku v databázi Scopus

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