SWiM is a semantic wiki for mathematical knowledge management. This is an installation of the current version of the SWiM prototype that demonstrates some of its features.
The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics. Here we describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups. We also touch upon their applications in quantum logic, special relativity and supersymmetry.
J. Berner, P. Grohs, G. Kutyniok, und P. Petersen. (2021)cite arxiv:2105.04026Comment: This review paper will appear as a book chapter in the book "Theory of Deep Learning" by Cambridge University Press.
J. Berner, P. Grohs, G. Kutyniok, und P. Petersen. (2021)cite arxiv:2105.04026Comment: This review paper will appear as a book chapter in the book "Theory of Deep Learning" by Cambridge University Press.
J. Berner, P. Grohs, G. Kutyniok, und P. Petersen. (2021)cite arxiv:2105.04026Comment: This review paper will appear as a book chapter in the book "Theory of Deep Learning" by Cambridge University Press.
S. Oviatt, A. Cohen, und N. Weibel. Proceedings of the 15th ACM on International Conference on Multimodal Interaction, Seite 563--568. New York, NY, USA, ACM, (2013)Workshop.