Kolichestvennaya mera simmetrii ploskih figur

by Korobko, Viktor
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Korobko, Viktor Kolichestvennaya mera simmetrii ploskih figur
Korobko, Viktor - Kolichestvennaya mera simmetrii ploskih figur

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Description

Privodyatsya obshhie ponyatiya o simmetrii i asimmetrii ploskih geometricheskih figur, fizicheskih zakonov; rassmatrivajutsya nekotorye vidy geometricheskih preobrazovanij ploskih figur (affinnye preobrazovaniya, simmetrizaciya Shtejnera i Shvarca); obsuzhdajutsya voprosy podobiya. Pokazano, chto izoperimetricheskaya problema matematiki tesno svyazana so svojstvami simmetrii i problemoj minimaxa. Dlya ocenki simmetrichnosti (pravil'nosti) ploskih geometricheskih figur predlozhena integral'naya harakteristika formy ploskoj oblasti (kojefficient formy); izuchajutsya ejo izoperimetricheskie svojstva i zakonomernosti povedeniya pri razlichnyh geometricheskih preobrazovaniyah. Dokazany izoperimetricheskie teoremy otnositel'no svojstv kojefficienta formy dlya razlichnyh geometricheskih figur (treugol'niki, parallelogrammy, trapecii, figury, yavlyajushhiesya chast'ju kruga, i t. p.); polucheny raschjotnye formuly i postroeny dvustoronnie izoperimetricheskie neravenstva dlya opredeleniya i ocenki kojefficienta formy prostyh i slozhnyh figur. Otmechaetsya, chto ego ispol'zovanie mozhet byt' ves'ma jeffektivnym pri issledovanii mnogih prikladnyh zadach matematicheskoj fiziki, mehaniki deformiruemogo tvjordogo tela i v drugih oblastyah nauki.

Contributors

Author:
Korobko, Viktor
Korobko, Andrej

Further information

Biography Artist:
Korobko Viktor Ivanovich, doktor tehnicheskih nauk, professor kafedry "Stroitel'nye konstrukcii i materialy", Korobko Andrej Viktorovich, doktor tehnicheskih nauk, professor kafedry "Tehnicheskaya mehanika i inzhenernaya grafika", Orlovskij gosudarstvennyj universitet im. I.S. Turgeneva.
Language:
Russian
Number of Pages:
100
Media Type:
Softcover
Publisher:
LAP Lambert Academic Publishing

Master Data

Product Type:
Paperback book
Release date:
15 December 2016
Package Dimensions:
0.22 x 0.15 x 0.006 m; 0.195 kg
GTIN:
09783330022751
DUIN:
8H1ACRQ82CT
£18.99
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