‘Clifford Algebra’ Complex Numbers For 3-D Vector Representation
The use of quaternions has historically been an approach to extend complex numbers to represent 3-D vectors. This quaternion representation is not unique. It is shown that an alternative approach to such an extension is to define complex numbers obeying a Clifford algebra different from those of qua...
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          | Published in | Journal of Engineering and Applied Sciences Technology pp. 1 - 3 | 
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| Main Author | |
| Format | Journal Article | 
| Language | English | 
| Published | 
          
        30.06.2025
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| Online Access | Get full text | 
| ISSN | 2634-8853 2634-8853  | 
| DOI | 10.47363/JEAST/2025(7)316 | 
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| Summary: | The use of quaternions has historically been an approach to extend complex numbers to represent 3-D vectors. This quaternion representation is not unique. It is shown that an alternative approach to such an extension is to define complex numbers obeying a Clifford algebra different from those of quaternions. Such an algebra is not new but appears to be preferable and less likely to cause confusion. | 
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| ISSN: | 2634-8853 2634-8853  | 
| DOI: | 10.47363/JEAST/2025(7)316 |