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{ 1-j {alignc %omega} over {2 %pi f} }  over { 1 + {alignc %omega^2} over {(2 %pi f)^2} }
newline newline
"Re" left (  { 1-j {alignc %omega} over {2 %pi f} }  over { 1 + {alignc %omega^2} over {(2 %pi f)^2} }  right ) = 
{ alignc 1 }  over { 1 + {alignc %omega^2} over {(2 %pi f)^2} } ~~~~~~~~~
"Im" left ( 
{ 1-j {alignc %omega} over {2 %pi f} }  over { 1 + {alignc %omega^2} over {(2 %pi f)^2} }
right ) = - left (
{ alignc  {alignc %omega} over {2 %pi f} }  over { 1 + {alignc %omega^2} over {(2 %pi f)^2}}
right )
newline newline
sqrt ( "Re"^2 + "Im"^2 ) = 
sqrt {left (  left ( 
{ alignc 1 }  over { 1 + {alignc %omega^2} over {(2 %pi f)^2} }
right  )^2
+
left ( -
left (  
{ alignc  {alignc %omega} over {2 %pi f} }  over { 1 + {alignc %omega^2} over {(2 %pi f)^2}} right )^2
right )
right ) }
= sqrt { 
{alignc 1^2 } over { left ( 
 { 1 + {alignc %omega^2} over {(2 %pi f)^2} } right)^2}
+
{alignc { %omega^2 over {  (2 %pi f)^2  }    } } over { left ( 
 { 1 + {alignc %omega^2} over {(2 %pi f)^2} } right)^2} } 
 = 

 sqrt { 
 {alignc {1 +  %omega^2 over {  (2 %pi f)²  }    } } over { left ( 
 { 1 + {alignc %omega^2} over {(2 %pi f)^2} } right)^2}  }