Expression 3: "f" left parenthesis, "c" , "i" , right parenthesis equals left brace, "i" equals 0 : "c" , StartAbsoluteValue, "z" , EndAbsoluteValue squared left parenthesis, cos left parenthesis, 2 theta Subscript, "z" , Baseline left parenthesis, "z" , right parenthesis plus theta Subscript, "r" , Baseline , right parenthesis , sin left parenthesis, 2 theta Subscript, "z" , Baseline left parenthesis, "z" , right parenthesis plus theta Subscript, "r" , Baseline , right parenthesis , right parenthesis plus "c" with "z" equals "f" left parenthesis, "c" , "i" minus 1 , right parenthesis , right bracefc,i=i=0:c,z2cos2θzz+θr,sin2θzz+θr+cwithz=fc,i−1
3
Expression 4: "c" Subscript, "o" "l" "o" "r" , Baseline equals hsv left parenthesis, StartFraction, 180 Over pi , EndFraction theta Subscript, "r" , Baseline , 1 , 1 , right parenthesiscolor=hsv180πθr,1,1
4
Expression 5: StartAbsoluteValue, "f" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , 10000 , right parenthesis , EndAbsoluteValue less than or equal to 2 Is taking a long time to compute.fx,y,10000≤2