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A short review on the theory of generalized conics

Nagy, Ábris (2015) A short review on the theory of generalized conics. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (1). pp. 81-96. ISSN 0866-0174

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Abstract

Generalized conics are the level sets of functions measuring the average distance from a given set of points. This involves an extension of the concept of conics to the case of infinitely many focuses. The measuring of the average distance is realized via integration. Generalized conics recently have many interesting applications from Finsler geometry to geometric tomography. The aim of this survey paper is to collect the most important results concerning generalized conics.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2024 09:22
Last Modified: 06 Feb 2024 09:22
URI: http://real.mtak.hu/id/eprint/187630

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