Mobius transformations | complex maps encompassing circle inversions
Expression 3: "c" equals negative 1c=−1
negative 10−10
1010
3
Expression 4: "d" equals negative 2.9d=−2.9
negative 10−10
1010
4
Expression 5: "f" left parenthesis, "z" , right parenthesis equals StartFraction, left parenthesis, left parenthesis, "a" "z" . "x" plus "b" , right parenthesis left parenthesis, "c" "z" . "x" plus "d" , right parenthesis plus "a" "z" . "y" times "c" "z" . "y" , left parenthesis, "a" "z" . "x" plus "b" , right parenthesis left parenthesis, negative "c" "z" . "y" , right parenthesis plus left parenthesis, "a" "z" . "y" , right parenthesis left parenthesis, "c" "z" . "x" plus "d" , right parenthesis , right parenthesis Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , "c" "z" plus left parenthesis, "d" , 0 , right parenthesis , right parenthesis squared , EndFractionfz=az.x+bcz.x+d+az.y·cz.y,az.x+b−cz.y+az.ycz.x+ddistance0,0,cz+d,02