Definitions
1.NounA pair (w,z) of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate
(
w
,
z
)
∗
=
(
w
,
−
z
)
,
{\displaystyle (w,z)^{*}=(w,-z),}
and the product of two bicomplex numbers as
(
u
,
v
)
(
w
,
z
)
=
(
u
w
−
v
z
,
u
z
+
v
w
)
.
{\displaystyle (u,v)(w,z)=(uw-vz,uz+vw).}