Numerical Calculations in Clifford Algebra

9Bicomplex Numbers

Bicomplex numbers were first constructed by Segre (1892) as complex numbers composed using a new imaginary unit . The ‘real’ and ‘imaginary’ parts of the bicomplex numbers are themselves both conventional complex numbers and , based on the usual imaginary unit . In isolation, the new unit behaves exactly like the original unit . Together, the two units are independent and do not combine under addition or multiplication, but do commute without change of sign. If either of the imaginary units is wholly absent due to the values of the corresponding coefficients being zero, ...