bicomplex number

Noun

• A pair (w,z) of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate $(w,z)^*\; =\; (w,\; -z),$ and the product of two bicomplex numbers as $(u,v)(w,z)\; =\; (u\; w\; -\; v\; z,\; u\; z\; +\; v\; w\; ).$