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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2402| Title: | THE DUAL SPATIAL QUATERNIONIC EXPRESSION OF RULED SURFACES |
| Authors: | Caliskan, Abdussamet Senyurt, Suleyman Ordu Üniversitesi |
| Keywords: | real quaternion; spatial quaternion; dual spatial quaternion; closed ruled surface; distribution parameter; dual angle of pitch |
| Issue Date: | 2019 |
| Publisher: | VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA |
| Abstract: | In this paper, the ruled surface which corresponds to a curve on dual unit sphere is rederived with the help of dual spatial quaternions. We extend the term of dual expression of ruled surface using dual spatial quaternionic method. The correspondences in dual space of closed ruled surfaces are quaternionically expressed. As a consequence, the integral invariants of these surfaces and the relationships between these invariants are shown. |
| URI: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900053C.pdf http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2402 |
| Appears in Collections: | Matematik |
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