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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2023 Volume 19, Issue 2, Pages 212–217 (Mi vspui578)

Computer science

Mathematical methods for analyzing the results of investigation of dielectric

N. V. Egorov, A. G. Karpov, S. P. Sobolev

St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: One of the most informative methods for studying dielectric materials is the analysis of their polarization and depolarization processes. The most suitable representation is the dielectric diagram in the complex plane (Argand diagram). Often, the dielectric diagram is represented as a collection of intersecting parts of circles, at least for preprocessing. The paper proposes means of modeling the dielectric diagram by means of a set of parts of circles.

Keywords: dielectric diagram, part of a circle.

UDC: 519.178, 519.174.2

MSC: 14H99, 82D99, 68W25

Received: February 24, 2023
Accepted: April 25, 2023

DOI: 10.21638/11701/spbu10.2023.207



© Steklov Math. Inst. of RAS, 2024