In summary: Just as the complex numbers are defined by adding a new element i su...

cgmg on March 18, 2018 | parent | context | favorite | on: Deep Quaternion Networks (2017) [pdf]

In summary: Just as the complex numbers are defined by adding a new element i such that i^2 = -1, the quaternions are defined by adding elements i, j, k such that i^2 = j^2 = k^2 = ijk = -1.

akira2501 on March 18, 2018 [–]

Also, see https://en.wikipedia.org/wiki/Cayley%E2%80%93Dickson_constru...