Wednesday, November 06, 2013
|z|2=z⋅¯z
It's rather easy to show that:
|z|2=z⋅¯z where z=x+iy |
|z+1|2=(z+1)⋅(¯z+1) |
As a challenge, consider:
Re(ezz+1)=(e|z|2+x|z+1|2)⋅cos(y|z+1|2) |
More at Analysis of a Complex Kind.
It's rather easy to show that:
|z|2=z⋅¯z where z=x+iy |
|z+1|2=(z+1)⋅(¯z+1) |
As a challenge, consider:
Re(ezz+1)=(e|z|2+x|z+1|2)⋅cos(y|z+1|2) |
More at Analysis of a Complex Kind.