基礎2




































































































0

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=1e^i(-θ)
z*=1e^(-iθ)
z*=1e^-iθ
z*=1e^-iθ
z*=1e^(-iθ)
z*=1e^i(-θ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=Ae^i(-θ)
z*=Ae^(-iθ)
z*=Ae^-iθ
z*=Ae^-iθ
z*=Ae^(-iθ)
z*=Ae^i(-θ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=re^i(-θ)
z*=re^(-iθ)
z*=re^-iθ
z*=re^-iθ
z*=re^(-iθ)
z*=re^i(-θ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ

z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ

e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
Ae^-iθ=A(cosθ-isinθ)
re^-iθ=r(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
1e^-iθ=1(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
Ae^-iθ=A(cosθ-isinθ)
Ae^-iθ=A(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
re^-iθ=r(cosθ-isinθ)
re^-iθ=r(cosθ-isinθ)
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=Ae^-iθ=A(cosθ-isinθ)
z*=Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=re^-iθ=r(cosθ-isinθ)
z*=re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ

z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=x-iy=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=a-ib=
Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=x-iy=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=a-ib=
re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=A(a-ib)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=A(x-iy)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=A(x-iy)=
e^-iθ=cosθ-isinθ
z*=A(a-bi)=A(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=r(a-ib)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=r(x-iy)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=r(x-iy)=
e^-iθ=cosθ-isinθ
z*=r(a-bi)=r(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
Ae^-iθ=A(cosθ-isinθ)
re^-iθ=r(cosθ-isinθ)
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=Ae^-iθ=A(cosθ-isinθ)
z*=Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=re^-iθ=r(cosθ-isinθ)
z*=re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=
Ae^-iθ=A(cosθ-isinθ)
z*=A(x-yi)=
Ae^-iθ=A(cosθ-isinθ)
z*=A(x-yi)=
Ae^-iθ=A(cosθ-isinθ)
z*=A(a-bi)=
Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=
re^-iθ=r(cosθ-isinθ)
z*=r(x-yi)=
re^-iθ=r(cosθ-isinθ)
z*=r(x-yi)=
re^-iθ=r(cosθ-isinθ)
z*=r(a-bi)=
re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=
Ae^-iθ=A(cosθ-isinθ)
z*=A(x-yi)=
Ae^-iθ=A(cosθ-isinθ)
z*=A(x-yi)=
Ae^-iθ=A(cosθ-isinθ)
z*=A(a-bi)=
Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=
re^-iθ=r(cosθ-isinθ)
z*=r(x-yi)=
re^-iθ=r(cosθ-isinθ)
z*=r(x-yi)=
re^-iθ=r(cosθ-isinθ)
z*=r(a-bi)=
re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

1

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=A(a-ib)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=A(x-iy)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=A(x-iy)=
e^-iθ=cosθ-isinθ
z*=A(a-bi)=A(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=r(a-ib)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=r(x-iy)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=r(x-iy)=
e^-iθ=cosθ-isinθ
z*=r(a-bi)=r(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=A(a-bi)=A(a-ib)
z*=A(x-yi)=A(x-iy)
z*=A(x-yi)=A(x-iy)
z*=A(a-bi)=A(a-ib)

z*=r(a-bi)=r(a-ib)
z*=r(x-yi)=r(x-iy)
z*=r(x-yi)=r(x-iy)
z*=r(a-bi)=r(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ

z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ

e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
Ae^-iθ=A(cosθ-isinθ)
re^-iθ=r(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
1e^-iθ=1(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
1e^-iθ=1(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
1e^-iθ=1(cosθ-isinθ)
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ

z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=x-yi=x-iy=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi=a-ib
z*=x-yi=x-iy
z*=x-yi=x-iy
z*=a-bi=a-ib

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=x-iy=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z*=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=Ae^-iθ
z*=Ae^-iθ
z*=e^-iθ

z*=e^-iθ
z*=re^-iθ
z*=re^-iθ
z*=e^-iθ

e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
e^i(-θ)=cos(-θ)+isin(-θ)
e^(-iθ)=cos(-θ)+isin(-θ)
e^-iθ=cos(-θ)+isin(-θ)
e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
Ae^-iθ=A(cosθ-isinθ)
re^-iθ=r(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
1e^-iθ=1(cosθ-isinθ)
1e^-iθ=1(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
Ae^-iθ=A(cosθ-isinθ)
Ae^-iθ=A(cosθ-isinθ)
e^-iθ=cosθ-isinθ

e^-iθ=cosθ-isinθ
re^-iθ=r(cosθ-isinθ)
re^-iθ=r(cosθ-isinθ)
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=Ae^-iθ=A(cosθ-isinθ)
z*=Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=re^-iθ=r(cosθ-isinθ)
z*=re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=x-yi=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=re^-iθ=r(cosθ-isinθ)
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(x-yi)=
e^-iθ=cosθ-isinθ
z*=A(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(x-yi)=
e^-iθ=cosθ-isinθ
z*=r(a-bi)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=
1e^-iθ=1(cosθ-isinθ)
z*=x-yi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=x-yi=
Ae^-iθ=A(cosθ-isinθ)
z*=a-bi=
Ae^-iθ=A(cosθ-isinθ)
z*=Ae^-iθ=A(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=re^-iθ=r(cosθ-isinθ)
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=x-yi=
re^-iθ=r(cosθ-isinθ)
z*=a-bi=
re^-iθ=r(cosθ-isinθ)
z*=re^-iθ=r(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(x-yi)=1(x-iy)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=1(x-iy)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=1(x-iy)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=1(x-iy)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=1(x-iy)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=1(x-iy)=
1e^-iθ=1(cosθ-isinθ)
z*=1(x-yi)=1(x-iy)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)
z*=1(x-yi)
z*=1(x-yi)
z*=1(a-bi)

z*=A(a-bi)
z*=A(x-yi)
z*=A(x-yi)
z*=A(a-bi)

z*=r(a-bi)
z*=r(x-yi)
z*=r(x-yi)
z*=r(a-bi)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=1(a-bi)=1(a-ib)
z*=1(x-yi)=1(x-iy)
z*=1(x-yi)=1(x-iy)
z*=1(a-bi)=1(a-ib)

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

z*=a-bi
z*=x-yi
z*=x-yi
z*=a-bi

2

f(z*)=(az*+b)/(cz*+d)
a=0
b=1
c=1
d=0
f(z*)=(az*+b)/(cz*+d)
f(z*)=(0z*+1)/(1z*+0)
f(z*)=(0+1)/(1z*+0)
f(z*)=(1)/(1z*)
f(z*)=1/1z*
f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z)=1/z*
(lnz*)'(z)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib= ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=ΣΔlnz=lnz=Σf(z)Δz=Σ(1/z)Δz
w*=a-bi
w*=a-bi=
ΣΔlnz=lnz=Σf(z)Δz=Σ(1/z)Δz
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)
z*=e^w*=e^(a-bi)=e^(a-ib)

(lnz*)'=1/z*

f(z*)=1/z*
(lnz*)'=1/z*
(lnz*)'=f(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)
z*=e^w*=e^(a-bi)=e^(a-ib)
z*=e^w*=(e^a)(e^-bi)=(e^a)(e^-ib)

3

f(z*)=(az*+b)/(cz*+d)
a=0
b=1
c=1
d=0
f(z*)=(az*+b)/(cz*+d)
f(z*)=(0z*+1)/(1z*+0)
f(z*)=(0+1)/(1z*+0)
f(z*)=(1)/(1z*)
f(z*)=1/1z*
f(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*

lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)
z*=e^w*=e^(a-bi)=e^(a-ib)

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)
z*=e^w*=e^(a-bi)=e^(a-ib)

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz=w*=a-bi=a-ib
lnz=w*=(a-bi)=(a-ib)
z=e^w*=e^(a-bi)=e^(a-ib)
z=1e^w*=e^(a-bi)=e^(a-ib)

z=e^w*=e^(a-bi)=e^(a-ib)
z=1e^w*=e^(a-bi)=e^(a-ib)
z=1e^w*=e^(a-bi)=e^(a-ib)
z=e^w*=e^(a-bi)=e^(a-ib)

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)
z*=e^w*=
e^(a-bi)=e^(a-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

(lnz*)'=1/z*
(lnz*)'(z*)=1/z*

f(z*)=1/z*
(lnz*)'(z*)=1/z*
(lnz*)'(z*)=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δ/Δz*)lnz*=f(z*)=1/z*
lnz*(Δ/Δz*)=f(z*)=1/z*
(Δlnz*/Δz*)=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=1/z*
Δlnz*/Δz*=f(z*)=(1/z*)
Δlnz*=f(z*)Δz*=(1/z*)Δz*
ΣΔlnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=a-bi=a-ib=lnz*
lnz*=w*=a-bi=a-ib
lnz*=w*=(a-bi)=(a-ib)
z*=e^w*=
e^(a-bi)=e^(a-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
e^(a-bi)=e^(a-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
e^(a-bi)=e^(a-ib)
z*=1e^w*=
e^(a-bi)=e^(a-ib)
z*=1e^w*=
e^(a-bi)=e^(a-ib)
z*=e^w*=
e^(a-bi)=e^(a-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

4

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

(e^a)(e^ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z=e^iθ
z*=e^i(-θ)
z*=e^(-iθ)
z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ
z*=e^-iθ
z*=e^(-iθ)
z*=e^i(-θ)
z=e^iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=1e^-iθ
z*=1e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=1e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1e^-iθ=1(cosθ-isinθ)
z*=1e^-iθ=1(cosθ-isinθ)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=e^w*=(e^a)(e^-bi)=
(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=
e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=1(a-bi)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=e^-iθ
z*=e^-iθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
(e^a)(e^-ib)=1e^-iθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
(e^a)(e^-ib)=1e^-iθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

5

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^bi)=(e^a)(e^ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a+ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

6

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
(e^a)(e^ib)=1e^-iθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
(e^a)(e^-ib)=1e^-iθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a.bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a+bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a.bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^a)=1
e^a=1
1=e^a
a=ln1
ln1=0
a=ln1=0
a=0

7

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=e^-iθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^-iθ=cosθ-isinθ
z*=e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
e^-iθ=cosθ-isinθ
z*=e^-iθ
z*=e^-iθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^ib)=1e^iθ
(e^ib)=e^iθ
e^ib=e^iθ
ib=iθ
b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=1(a-bi)=1(a-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=
e^-iθ=cosθ-isinθ

z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)
z*=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=1e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=1(a-bi)=1(a-ib)=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
1e^-iθ=1(cosθ-isinθ)
z*=a-bi=a-ib=e^w*=
(e^a)(e^-bi)=(e^a)(e^-ib)=
e^-iθ=cosθ-isinθ

(e^a)(e^-ib)=1e^-iθ
(e^-ib)=e^-iθ
e^-ib=e^-iθ

• ib=-iθ
• b=-θ

b=θ
b=θ+2nπ
b=2nπ

a=0
b=θ+2nπ

a=0
b=2nπ

8

w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
a=0
b=2nπ
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=0-(2nπ)i=
a-ib=0-i(2nπ)=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=-(2nπ)i=
a-ib=-i(2nπ)=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=-2nπi=
a-ib=-2nπi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=-2nπi=
a-ib=-2nπi=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

• 2nπi=lnz*

lnz*=-2nπi

w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=a-bi=a-ib=
Σf(z*)Δz*=Σ(1/z*)Δz*
a=0
b=2nπ
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=a-bi=a-ib=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=0-(2nπ)i=
a-ib=0-i(2nπ)=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=-(2nπ)i=
a-ib=-i(2nπ)=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=-2nπi=
a-ib=-2nπi=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=-2nπi=
a-ib=-2nπi=
Σf(z*)Δz*=Σ(1/z*)Δz*
lnz*=-2nπi

w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=a-bi=a-ib=
Σf(z*)Δz*=Σ(1/z*)Δz*
lnz*=w*=a-bi=a-ib
a=0
b=2nπ
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=a-bi=a-ib=
Σf(z*)Δz*=Σ(1/z*)Δz*
lnz*=w*=a-bi=a-ib
lnz*=w*=
a-bi=0-(2nπ)i=
a-ib=0-i(2nπ)
lnz*=w*=
a-bi=-(2nπ)i=
a-ib=-i(2nπ)
lnz*=w*=
a-bi=-2nπi=
a-ib=-2nπi
lnz*=w*=
a-bi=-2nπi=
a-ib=-2nπi
lnz*=-2nπi

lnz*=-2nπi

lnz*=-2nπi
n=0
lnz*=0

lnz*=-2nπi
n=1
lnz*=-2πi

lnz*=-2nπi
n=2
lnz*=-4πi

lnz*=-2nπi
n=3
lnz*=-6πi

lnz*=-2nπi
n=4
lnz*=-8πi

lnz*=-2nπi
n=5
lnz*=-10πi

lnz*=-2nπi
n=6
lnz*=-12nπi

lnz*=-2nπi
n=7
lnz*=-14πi

lnz*=-2nπi
n=8
lnz*=-16πi

lnz*=-2nπi
n=9
lnz*=-18πi

lnz*=-2nπi
n=-10
lnz*=-20πi

w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
a=0
b=θ+2nπ
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=0-(θ+2nπ)i=
a-ib=0-i(θ+2nπ)=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=-(θ+2nπ)i=
a-ib=-i(θ+2nπ)=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=-(θi+2nπi)=
a-ib=-(iθ+2nπi)=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
w*=
a-bi=-(iθ+2nπi)=
a-ib=-(iθ+2nπi)=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*

• (iθ+2nπi)=lnz

lnz*=-(iθ+2nπi)

w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=a-ib=
Σf(z*)Δz*=Σ(1/z*)Δz*
a=0
b=θ+2nπ
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=a-bi=a-ib=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=0-(θ+2nπ)i=
a-ib=0-i(θ+2nπ)=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=-(θ+2nπ)i=
a-ib=-i(θ+2nπ)=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=-(θi+2nπi)=
a-ib=-(iθ+2nπi)=
Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=-(iθ+2nπi)=
a-ib=-(iθ+2nπi)=
Σf(z*)Δz*=Σ(1/z*)Δz*
lnz*=-(iθ+2nπi)

w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=a-ib=
Σf(z*)Δz*=Σ(1/z*)Δz*
lnz*=w*=a-bi=a-ib
a=0
b=θ+2nπ
w*=a-bi
w*=a-bi=a-ib
w*=a-bi=a-ib=
ΣΔlnz*=lnz*=Σf(z*)Δz*=Σ(1/z*)Δz*
ΣΔlnz*=lnz*=w*=
a-bi=a-ib=Σf(z*)Δz*=Σ(1/z*)Δz*
lnz*=w*=a-bi=a-ib
lnz*=w*=
a-bi=0-(θ+2nπ)i=
a-ib=0-i(θ+2nπ)
lnz*=w*=
a-bi=-(θ+2nπ)i=
a-ib=-i(θ+2nπi)
lnz*=w*=
a-bi=-(θi+2nπi)=
a-ib=-(iθ+2nπi)
lnz*=w*=
a-bi=-(iθ+2nπi)=
a-ib=-(iθ+2nπi)
lnz*=-(iθ+2nπi)

lnz*=iθ+2nπi

lnz*=iθ+2nπi
n=0
lnz*=0

lnz*=iθ+2nπi
n=1
lnz*=iθ+2πi

lnz*=iθ+2nπi
n=2
lnz*=iθ+4πi

lnz*=iθ+2nπi
n=3
lnz*=iθ+6πi

lnz*=iθ+2nπi
n=4
lnz*=iθ+8πi

lnz*=iθ+2nπi
n=5
lnz*=iθ+10πi

lnz*=iθ+2nπi
n=6
lnz*=iθ+12nπi

lnz*=iθ+2nπi
n=7
lnz*=iθ+14πi

lnz*=iθ+2nπi
n=8
lnz*=iθ+16πi

lnz*=iθ+2nπi
n=9
lnz*=iθ+18πi

lnz*=iθ+2nπi
n=10
lnz*=iθ+20πi

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