Generalized golden sections and a new approach to the geometric definition of a number

We consider applications of generalized golden sections to the geometric definition of a number and establish new properties of natural numbers that follow from this approach.

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Bibliographic Details
Date:2004
Main Authors: Stakhov, A. P., Стахов, А. П.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3830
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Stakhov, A. P.
Стахов, А. П.
Стахов, А. П.
author_facet Stakhov, A. P.
Стахов, А. П.
Стахов, А. П.
author_sort Stakhov, A. P.
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datestamp_date 2020-03-18T20:11:24Z
description We consider applications of generalized golden sections to the geometric definition of a number and establish new properties of natural numbers that follow from this approach.
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spelling umjimathkievua-article-38302020-03-18T20:11:24Z Generalized golden sections and a new approach to the geometric definition of a number Обобщенные золотые сечения и новый подход к геометрическому определению числа Stakhov, A. P. Стахов, А. П. Стахов, А. П. We consider applications of generalized golden sections to the geometric definition of a number and establish new properties of natural numbers that follow from this approach. Розглянуто застосування узагальнених золотих перерізів до геометричного визначення числа і отримано нові властивості натуральних чисел, що випливають із такого підходу. Institute of Mathematics, NAS of Ukraine 2004-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3830 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 8 (2004); 1143–1150 Український математичний журнал; Том 56 № 8 (2004); 1143–1150 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3830/4380 https://umj.imath.kiev.ua/index.php/umj/article/view/3830/4381 Copyright (c) 2004 Stakhov A. P.
spellingShingle Stakhov, A. P.
Стахов, А. П.
Стахов, А. П.
Generalized golden sections and a new approach to the geometric definition of a number
title Generalized golden sections and a new approach to the geometric definition of a number
title_alt Обобщенные золотые сечения и новый подход к геометрическому определению числа
title_full Generalized golden sections and a new approach to the geometric definition of a number
title_fullStr Generalized golden sections and a new approach to the geometric definition of a number
title_full_unstemmed Generalized golden sections and a new approach to the geometric definition of a number
title_short Generalized golden sections and a new approach to the geometric definition of a number
title_sort generalized golden sections and a new approach to the geometric definition of a number
url https://umj.imath.kiev.ua/index.php/umj/article/view/3830
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