七维叉积 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "七维叉积" in Chinese language version.

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archive.org

WS Massey. Cross products of vectors in higher dimensional Euclidean spaces. The American Mathematical Monthly (Mathematical Association of America). 1983, 90 (10): 697–701. JSTOR 2323537. doi:10.2307/2323537.
WS Massey. Cross products of vectors in higher dimensional Euclidean spaces. The American Mathematical Monthly. 1983, 90 (10): 697–701. JSTOR 2323537. doi:10.2307/2323537. If one requires only three basic properties of the cross product ... it turns out that a cross product of vectors exists only in 3-dimensional and 7-dimensional Euclidean space.
Jean H. Gallier. Problem 7.10 (2). Geometric methods and applications: for computer science and engineering. Springer. 2001: 244. ISBN 0-387-95044-3.

arxiv.org

Z.K. Silagadze. Multi-dimensional vector product. Journal of Physics A: Mathematical and General. 2002, 35 (23): 4949–4953. Bibcode:2002JPhA...35.4949S. S2CID 119165783. arXiv:math.RA/0204357 . doi:10.1088/0305-4470/35/23/310.
Jörg Schray; Corinne A. Manogue. Octonionic representations of Clifford algebras and triality. Foundations of Physics. 1996, 26 (1/January): 17–70. Bibcode:1996FoPh...26...17S. S2CID 119604596. arXiv:hep-th/9407179 . doi:10.1007/BF02058887. Available as ArXive preprint （页面存档备份，存于互联网档案馆） Figure 1 is located here （页面存档备份，存于互联网档案馆）.
John C. Baez. The Octonions (PDF). Bull. Amer. Math. Soc. 2002, 39 (2): 145–205. S2CID 586512. arXiv:math/0105155 . doi:10.1090/s0273-0979-01-00934-x. （原始内容 (PDF)存档于2010-07-07）.
Darpö, Erik. Vector product algebras. Bulletin of the London Mathematical Society. 2009, 41 (5): 898–902. S2CID 122615967. arXiv:0810.5464 . doi:10.1112/blms/bdp066. See also: Real vector product algebras. CiteSeerX 10.1.1.66.4 .

books.google.com

G Gentili, C Stoppato, DC Struppa and F Vlacci. Recent developments for regular functions of a hypercomplex variable. Irene Sabadini; M Shapiro; F Sommen (编). Hypercomplex analysis Conference on quaternionic and Clifford analysis; proceedings. Birkhäuser. 2009: 168. ISBN 978-3-7643-9892-7.
Lev Vasilʹevitch Sabinin; Larissa Sbitneva; I. P. Shestakov. §17.2 Octonion algebra and its regular bimodule representation. Non-associative algebra and its applications. CRC Press. 2006: 235. ISBN 0-8247-2669-3.
Rafał Abłamowicz; Pertti Lounesto; Josep M. Parra. § Four octonionic basis numberings. Clifford algebras with numeric and symbolic computations. Birkhäuser. 1996: 202. ISBN 0-8176-3907-1.
Francis Begnaud Hildebrand. Methods of applied mathematics Reprint of Prentice-Hall 1965 2nd. Courier Dover Publications. 1992: 24. ISBN 0-486-67002-3.
Kendall, M. G. A Course in the Geometry of N Dimensions. Courier Dover Publications. 2004: 19. ISBN 0-486-43927-5.
Nathan Jacobson. Basic algebra I Reprint of Freeman 1974 2nd. Dover Publications. 2009: 417–427. ISBN 978-0-486-47189-1.
Rafał Abłamowicz; Bertfried Fauser. Clifford Algebras and Their Applications in Mathematical Physics: Algebra and physics. Springer. 2000: 26. ISBN 0-8176-4182-3.
Bertfried Fauser. §18.4.2 Contractions. Pertti Lounesto; Rafał Abłamowicz (编). Clifford algebras: applications to mathematics, physics, and engineering. Birkhäuser. 2004: 292 ff. ISBN 0-8176-3525-4.
Jean H. Gallier. Problem 7.10 (2). Geometric methods and applications: for computer science and engineering. Springer. 2001: 244. ISBN 0-387-95044-3.

doi.org

WS Massey. Cross products of vectors in higher dimensional Euclidean spaces. The American Mathematical Monthly (Mathematical Association of America). 1983, 90 (10): 697–701. JSTOR 2323537. doi:10.2307/2323537.
WS Massey. Cross products of vectors in higher dimensional Euclidean spaces. The American Mathematical Monthly. 1983, 90 (10): 697–701. JSTOR 2323537. doi:10.2307/2323537. If one requires only three basic properties of the cross product ... it turns out that a cross product of vectors exists only in 3-dimensional and 7-dimensional Euclidean space.
Mappings are restricted to be bilinear by (Massey 1993) and Robert B Brown & Alfred Gray. Vector cross products. Commentarii Mathematici Helvetici (Birkhäuser Basel). 1967, 42 (1/December): 222–236. S2CID 121135913. doi:10.1007/BF02564418. .
Z.K. Silagadze. Multi-dimensional vector product. Journal of Physics A: Mathematical and General. 2002, 35 (23): 4949–4953. Bibcode:2002JPhA...35.4949S. S2CID 119165783. arXiv:math.RA/0204357 . doi:10.1088/0305-4470/35/23/310.
Jörg Schray; Corinne A. Manogue. Octonionic representations of Clifford algebras and triality. Foundations of Physics. 1996, 26 (1/January): 17–70. Bibcode:1996FoPh...26...17S. S2CID 119604596. arXiv:hep-th/9407179 . doi:10.1007/BF02058887. Available as ArXive preprint （页面存档备份，存于互联网档案馆） Figure 1 is located here （页面存档备份，存于互联网档案馆）.
John C. Baez. The Octonions (PDF). Bull. Amer. Math. Soc. 2002, 39 (2): 145–205. S2CID 586512. arXiv:math/0105155 . doi:10.1090/s0273-0979-01-00934-x. （原始内容 (PDF)存档于2010-07-07）.
Darpö, Erik. Vector product algebras. Bulletin of the London Mathematical Society. 2009, 41 (5): 898–902. S2CID 122615967. arXiv:0810.5464 . doi:10.1112/blms/bdp066. See also: Real vector product algebras. CiteSeerX 10.1.1.66.4 .

harvard.edu

ui.adsabs.harvard.edu

Z.K. Silagadze. Multi-dimensional vector product. Journal of Physics A: Mathematical and General. 2002, 35 (23): 4949–4953. Bibcode:2002JPhA...35.4949S. S2CID 119165783. arXiv:math.RA/0204357 . doi:10.1088/0305-4470/35/23/310.
Jörg Schray; Corinne A. Manogue. Octonionic representations of Clifford algebras and triality. Foundations of Physics. 1996, 26 (1/January): 17–70. Bibcode:1996FoPh...26...17S. S2CID 119604596. arXiv:hep-th/9407179 . doi:10.1007/BF02058887. Available as ArXive preprint （页面存档备份，存于互联网档案馆） Figure 1 is located here （页面存档备份，存于互联网档案馆）.

jstor.org

WS Massey. Cross products of vectors in higher dimensional Euclidean spaces. The American Mathematical Monthly (Mathematical Association of America). 1983, 90 (10): 697–701. JSTOR 2323537. doi:10.2307/2323537.
WS Massey. Cross products of vectors in higher dimensional Euclidean spaces. The American Mathematical Monthly. 1983, 90 (10): 697–701. JSTOR 2323537. doi:10.2307/2323537. If one requires only three basic properties of the cross product ... it turns out that a cross product of vectors exists only in 3-dimensional and 7-dimensional Euclidean space.

psu.edu

citeseerx.ist.psu.edu

Darpö, Erik. Vector product algebras. Bulletin of the London Mathematical Society. 2009, 41 (5): 898–902. S2CID 122615967. arXiv:0810.5464 . doi:10.1112/blms/bdp066. See also: Real vector product algebras. CiteSeerX 10.1.1.66.4 .

semanticscholar.org

api.semanticscholar.org

Mappings are restricted to be bilinear by (Massey 1993) and Robert B Brown & Alfred Gray. Vector cross products. Commentarii Mathematici Helvetici (Birkhäuser Basel). 1967, 42 (1/December): 222–236. S2CID 121135913. doi:10.1007/BF02564418. .
Z.K. Silagadze. Multi-dimensional vector product. Journal of Physics A: Mathematical and General. 2002, 35 (23): 4949–4953. Bibcode:2002JPhA...35.4949S. S2CID 119165783. arXiv:math.RA/0204357 . doi:10.1088/0305-4470/35/23/310.
Jörg Schray; Corinne A. Manogue. Octonionic representations of Clifford algebras and triality. Foundations of Physics. 1996, 26 (1/January): 17–70. Bibcode:1996FoPh...26...17S. S2CID 119604596. arXiv:hep-th/9407179 . doi:10.1007/BF02058887. Available as ArXive preprint （页面存档备份，存于互联网档案馆） Figure 1 is located here （页面存档备份，存于互联网档案馆）.
John C. Baez. The Octonions (PDF). Bull. Amer. Math. Soc. 2002, 39 (2): 145–205. S2CID 586512. arXiv:math/0105155 . doi:10.1090/s0273-0979-01-00934-x. （原始内容 (PDF)存档于2010-07-07）.
Darpö, Erik. Vector product algebras. Bulletin of the London Mathematical Society. 2009, 41 (5): 898–902. S2CID 122615967. arXiv:0810.5464 . doi:10.1112/blms/bdp066. See also: Real vector product algebras. CiteSeerX 10.1.1.66.4 .

ucr.edu

math.ucr.edu

John C. Baez. The Octonions (PDF). Bull. Amer. Math. Soc. 2002, 39 (2): 145–205. S2CID 586512. arXiv:math/0105155 . doi:10.1090/s0273-0979-01-00934-x. （原始内容 (PDF)存档于2010-07-07）.

unizar.es

Elduque, Alberto. Vector cross products (PDF). 2004 [2023-11-17]. （原始内容存档 (PDF)于2011-06-08）.

web.archive.org

Jörg Schray; Corinne A. Manogue. Octonionic representations of Clifford algebras and triality. Foundations of Physics. 1996, 26 (1/January): 17–70. Bibcode:1996FoPh...26...17S. S2CID 119604596. arXiv:hep-th/9407179 . doi:10.1007/BF02058887. Available as ArXive preprint （页面存档备份，存于互联网档案馆） Figure 1 is located here （页面存档备份，存于互联网档案馆）.
John C. Baez. The Octonions (PDF). Bull. Amer. Math. Soc. 2002, 39 (2): 145–205. S2CID 586512. arXiv:math/0105155 . doi:10.1090/s0273-0979-01-00934-x. （原始内容 (PDF)存档于2010-07-07）.
Elduque, Alberto. Vector cross products (PDF). 2004 [2023-11-17]. （原始内容存档 (PDF)于2011-06-08）.