ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯ
Teoria generală a P-simetriei este folosită pentru a extinde grupurile simorfe liniare cristalografice tridimensionale cu P-simetriile de rozetă. În lucrare sunt prezentate lista completă a P-simetriilor minore de rozetă şi caracteristicile numerice complete ale listelor de grupuri Q-medii de P-sime...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Moldova State University
2008-01-01
|
Series: | Studia Universitatis Moldaviae: Stiinte Umanistice |
Online Access: | https://ojs.studiamsu.md/index.php/stiinte_exacte_si_economice/article/view/304 |
_version_ | 1797326414995783680 |
---|---|
author | USM ADMIN |
author_facet | USM ADMIN |
author_sort | USM ADMIN |
collection | DOAJ |
description | Teoria generală a P-simetriei este folosită pentru a extinde grupurile simorfe liniare cristalografice tridimensionale
cu P-simetriile de rozetă. În lucrare sunt prezentate lista completă a P-simetriilor minore de rozetă şi caracteristicile
numerice complete ale listelor de grupuri Q-medii de P-simetrie din categoriile indicate. De asemenea, pe baza teoriei generale a P-simetriei au fost obţinute toate versiunile posibile de grupuri tridimensionale, simorfe cristalografice liniare ale P-simetriilor de rozetă, fără a se ţine cont de enantiomorfismul lor. Aceasta a permis evaluarea numerică a tuturor grupurilor „simorfe” de simetrie ale spaţiului euclidian de dimensiunea cinci, care păstrează invariant în acest spaţiu un plan tridimensional şi o dreaptă pe acest plan.
Based on the general P-symmetry theory, three-dimensional symmorphic crystallographic linear groups are expanded up to groups of rosettal P-symmetries. The list of junior rosettal P-symmetries of this category is completely presented and the full numerical review of Q-middle groups of noted P-symmetries of the mentioned above category is given. The number of different ”symmorphic” symmetry groups of five – dimensional Euclidian space, which keep in it invariant the three-dimensional plane with straight line in it is established by means of revealed every possible (from the point of view of general P-symmetries theory) different, without taking into account enantiomorphism, three-dimensional crystallographic linear rosettal P-symmetries. |
first_indexed | 2024-03-08T06:23:52Z |
format | Article |
id | doaj.art-00370dd09aaf4f5794790de9a428b8b7 |
institution | Directory Open Access Journal |
issn | 1857-2073 2345-1009 |
language | English |
last_indexed | 2024-03-08T06:23:52Z |
publishDate | 2008-01-01 |
publisher | Moldova State University |
record_format | Article |
series | Studia Universitatis Moldaviae: Stiinte Umanistice |
spelling | doaj.art-00370dd09aaf4f5794790de9a428b8b72024-02-03T15:09:26ZengMoldova State UniversityStudia Universitatis Moldaviae: Stiinte Umanistice1857-20732345-10092008-01-013ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯUSM ADMIN0Studia Universitas MoldaviaeTeoria generală a P-simetriei este folosită pentru a extinde grupurile simorfe liniare cristalografice tridimensionale cu P-simetriile de rozetă. În lucrare sunt prezentate lista completă a P-simetriilor minore de rozetă şi caracteristicile numerice complete ale listelor de grupuri Q-medii de P-simetrie din categoriile indicate. De asemenea, pe baza teoriei generale a P-simetriei au fost obţinute toate versiunile posibile de grupuri tridimensionale, simorfe cristalografice liniare ale P-simetriilor de rozetă, fără a se ţine cont de enantiomorfismul lor. Aceasta a permis evaluarea numerică a tuturor grupurilor „simorfe” de simetrie ale spaţiului euclidian de dimensiunea cinci, care păstrează invariant în acest spaţiu un plan tridimensional şi o dreaptă pe acest plan. Based on the general P-symmetry theory, three-dimensional symmorphic crystallographic linear groups are expanded up to groups of rosettal P-symmetries. The list of junior rosettal P-symmetries of this category is completely presented and the full numerical review of Q-middle groups of noted P-symmetries of the mentioned above category is given. The number of different ”symmorphic” symmetry groups of five – dimensional Euclidian space, which keep in it invariant the three-dimensional plane with straight line in it is established by means of revealed every possible (from the point of view of general P-symmetries theory) different, without taking into account enantiomorphism, three-dimensional crystallographic linear rosettal P-symmetries.https://ojs.studiamsu.md/index.php/stiinte_exacte_si_economice/article/view/304 |
spellingShingle | USM ADMIN ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯ Studia Universitatis Moldaviae: Stiinte Umanistice |
title | ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯ |
title_full | ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯ |
title_fullStr | ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯ |
title_full_unstemmed | ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯ |
title_short | ТРЕХМЕРНЫЕ СИММОРФНЫЕ КРИСТАЛЛОГРАФИЧЕСКИЕ ЛИНЕЙНЫЕ ГРУППЫ РОЗЕТОЧНЫХ Р-СИММЕТРИЙ И ИХ МНОГОМЕРНЫЕ ПРИЛОЖЕНИЯ |
title_sort | трехмерные симморфные кристаллографические линейные группы розеточных р симметрий и их многомерные приложения |
url | https://ojs.studiamsu.md/index.php/stiinte_exacte_si_economice/article/view/304 |
work_keys_str_mv | AT usmadmin trehmernyesimmorfnyekristallografičeskielinejnyegruppyrozetočnyhrsimmetrijiihmnogomernyepriloženiâ |