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International Journal of Physical Sciences
Article
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Uşak Üniversitesi Kurumsal Akademik Arşiv Sistemi
Article . 2011
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weakened mannheim curves

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011Publisher:Academic JournalsJournal:International Journal of Physical Sciences, volume 6, pages 4,700-4,705 (issn: 1992-1950, Copyright policy )
Authors: Karacan, Murat Kemal;

doi: 10.5897/ijps10.659

weakened mannheim curves

Abstract

In the discussion of Bertrand and Mannheim curves, it is always assumed (explicitly or implicitly) that the curvature is nowhere zero. In this paper, we adapt this requirement on the Mannheim curves and investigate into the properties of two types of similar curves (the Frenet-Mannheim curves and the weakened Mannheim curves) under weakened conditions. Key words: Mannheim curves, Frenet-Mannheim curves, weakened-Mannheim curves.

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Keywords

Weakened-mannheim curves, Frenet-mannheim curves, Mannheim curves

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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