Comments on: Absolute value of complex numbers https://www.centerspace.net/absolute-value-of-complex-numbers .NET numerical class libraries Tue, 01 Mar 2016 21:44:26 +0000 hourly 1 https://wordpress.org/?v=6.1.1 By: A Isaac https://www.centerspace.net/absolute-value-of-complex-numbers#comment-18016 Wed, 02 Jul 2014 18:50:54 +0000 http://www.centerspace.net/blog/?p=3277#comment-18016 How can the index of the max of the L2-norm be different than that of the L1-norm ?

(Abs1(z)) ^ 2 = ((Abs(z)) ^ 2) + ( 2 * abs(Re(z)) * abs(Im(z)) )

If for 2 points z1, z2: ((Abs(z2)) ^ 2) > ((Abs(z1)) ^ 2)

So, Must it be ((Abs1(z2)) ^ 2) > ((Abs1(z1)) ^ 2) ???????

Can ( 2 * abs(Re(z1)) * abs(Im(z1)) ) – ( 2 * abs(Re(z2)) * abs(Im(z2)) ) > ((Abs(z2)) ^ 2) – ((Abs(z1)) ^ 2)

]]>