• Oct 10th 2010, 11:33 PM
ChiliNBeans
Hi everyone, this is my first time on this forum, so please bear with me. :)

I am currently going over some paper and came across this:

Let x, y be complex #s and IxI+IyI=1. If a,b are also elements of complex numbers and Ix +/- aI + Iy +/- bI <= 1

The author claims that if x*y is not 0, then

I IxI +/- a*(IxI/x)I + I IyI +/- b*(IyI/y)I <=1

Sorry about this notation, IxI denotes the modulus of x and +/- means + or -. Any help is appreciated. Thanks!
• Oct 11th 2010, 05:35 AM
tonio
Quote:

Originally Posted by ChiliNBeans
Hi everyone, this is my first time on this forum, so please bear with me. :)

I am currently going over some paper and came across this:

Let x, y be complex #s and IxI+IyI=1. If a,b are also elements of complex numbers and Ix +/- aI + Iy +/- bI <= 1

The author claims that if x*y is not 0, then

I IxI +/- a*(IxI/x)I + I IyI +/- b*(IyI/y)I <=1

Sorry about this notation, IxI denotes the modulus of x and +/- means + or -. Any help is appreciated. Thanks!

Too cumbersome notation. Refer to the help in Latex section of the group.

Tonio