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Mathematics
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Mathematics
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Gazi Üniversitesi - AVESIS
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https://dx.doi.org/10.3390/mat...
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Other literature type . 2020
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A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 02 Dec 2020 Turkey English Publisher:MDPI AGJournal:Mathematics, volume 8, page 2,149 (eissn: 2227-7390, Copyright policy )
Authors: Emel Karaca; Fatih Yılmaz; Mustafa Çalışkan;

doi: 10.3390/math8122149

A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients

Abstract

This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on.

Country
Turkey
Related Organizations
Keywords

quaternions, QA1-939, split quaternions with quaternion coefficients, dual quaternions, Mathematics

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
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!
5
Top 10%
Average
Average
gold