07/27/2014, 08:37 AM

Another thing. Maybe trivial sorry.

But maybe not.

In sheldon's picture of f(z) he has colored negative blue and positive red.

It seems that between the zero's on the negative real line , we get for every red/blue line on the real line an intersection with another red/blue line coming from the upper resp lower complex plane.

This intersection seems to Always be perpendicular !!?

Is that an optical illusion or is it true ?

Why is that true ?

Is it a property of polynomials that carries on because of the hadamard product ?

Or is this some complex analysis 101 that I forgot about ?

regards

tommy1729

But maybe not.

In sheldon's picture of f(z) he has colored negative blue and positive red.

It seems that between the zero's on the negative real line , we get for every red/blue line on the real line an intersection with another red/blue line coming from the upper resp lower complex plane.

This intersection seems to Always be perpendicular !!?

Is that an optical illusion or is it true ?

Why is that true ?

Is it a property of polynomials that carries on because of the hadamard product ?

Or is this some complex analysis 101 that I forgot about ?

regards

tommy1729