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HandWiki. Dual-complex Number. Encyclopedia. Available online: https://encyclopedia.pub/entry/37093 (accessed on 22 September 2026).
HandWiki. Dual-complex Number. Encyclopedia. Available at: https://encyclopedia.pub/entry/37093. Accessed September 22, 2026.
HandWiki. "Dual-complex Number" Encyclopedia, https://encyclopedia.pub/entry/37093 (accessed September 22, 2026).
HandWiki. (2022, November 29). Dual-complex Number. In Encyclopedia. https://encyclopedia.pub/entry/37093
HandWiki. "Dual-complex Number." Encyclopedia. Web. 29 November, 2022.
Dual-complex Number
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The content is sourced from: https://handwiki.org/wiki/Dual-complex_number

The dual-complex numbers make up a four-dimensional algebra over the real numbers. Their primary application is in representing rigid body motions in 2D space. Unlike multiplication of dual numbers or of complex numbers, that of dual-complex numbers is non-commutative.

dual numbers rigid body motions dual-complex

References

  1. "Lines in the Euclidean group SE(2)". 2011-03-06. https://terrytao.wordpress.com/2011/03/05/lines-in-the-euclidean-group-se2/. 
  2. Study, E. (December 1891). "Von den Bewegungen und Umlegungen". Mathematische Annalen 39 (4): 441–565. doi:10.1007/bf01199824. ISSN 0025-5831.  https://dx.doi.org/10.1007%2Fbf01199824
  3. Sauer, R. (1939). "Dr. Wilhelm Blaschke, Prof. a. d. Universität Hamburg, Ebene Kinematik, eine Vorlesung (Hamburger Math. Einzelschriften, 25. Heft, 1938). 56 S. m. 19 Abb. Leipzig-Berlin 1938, Verlag B. G. Teubner. Preis br. 4 M.". ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 19 (2): 127. doi:10.1002/zamm.19390190222. ISSN 0044-2267. Bibcode: 1939ZaMM...19R.127S.  https://dx.doi.org/10.1002%2Fzamm.19390190222
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