11/25/2015, 01:24 PM

I started using bicomplex numbers instead of complex Numbers.

The reason is that for most complex Numbers , continue iterations result in loops.

We use as norm for the bicomplex numbers the complex Numbers.

For instance :

Avoid a fixpoint for x^2 , start with complex norm 1.

J^2 = 1.

We use (1/3 + 2/3 j)^2 = 5/9 + 4/9 j.

Thus not a fixpoint !

But both lhs and rhs has norm 1.

This is powerful.

Regards

Tommy1729

The reason is that for most complex Numbers , continue iterations result in loops.

We use as norm for the bicomplex numbers the complex Numbers.

For instance :

Avoid a fixpoint for x^2 , start with complex norm 1.

J^2 = 1.

We use (1/3 + 2/3 j)^2 = 5/9 + 4/9 j.

Thus not a fixpoint !

But both lhs and rhs has norm 1.

This is powerful.

Regards

Tommy1729