Expression 3: "c" equals hsv left parenthesis, 1 , 1 , StartFraction, "z" minus min left parenthesis, "z" , right parenthesis Over max left parenthesis, "z" , right parenthesis minus min left parenthesis, "z" , right parenthesis , EndFraction , right parenthesis with "z" equals left bracket, negative 1.5 , negative 1.3...1.5 , right bracketc=hsv1,1,z−minzmaxz−minzwithz=−1.5,−1.3...1.5
3
Expression 4: "f" left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , "z" Subscript, 1 , Baseline , right parenthesis equals left bracket, max left parenthesis, StartAbsoluteValue, cos left parenthesis, "r" Subscript, "o" "t" "x" , Baseline , right parenthesis "z" Subscript, 1 , Baseline minus sin left parenthesis, "r" Subscript, "o" "t" "x" , Baseline , right parenthesis "x" Subscript, 1 , Baseline , EndAbsoluteValue , StartAbsoluteValue, cos left parenthesis, "r" Subscript, "o" "t" "y" , Baseline , right parenthesis "y" Subscript, 1 , Baseline minus sin left parenthesis, "r" Subscript, "o" "t" "y" , Baseline , right parenthesis "Z" Subscript, 1 , Baseline , EndAbsoluteValue , StartAbsoluteValue, "y" Subscript, 1 , Baseline sin left parenthesis, "r" Subscript, "o" "t" "y" , Baseline , right parenthesis plus "Z" Subscript, 1 , Baseline cos left parenthesis, "r" Subscript, "o" "t" "y" , Baseline , right parenthesis , EndAbsoluteValue , right parenthesis minus 1for "Z" Subscript, 1 , Baseline equals left bracket, cos left parenthesis, "r" Subscript, "o" "t" "x" , Baseline , right parenthesis "x" Subscript, 1 , Baseline plus sin left parenthesis, "r" Subscript, "o" "t" "x" , Baseline , right parenthesis "z" Subscript, 1 , Baseline , right bracket , right bracket left bracket, 1 , right bracketfx1,y1,z1=maxcosrotxz1−sinrotxx1,cosrotyy1−sinrotyZ1,y1sinroty+Z1cosroty−1forZ1=cosrotxx1+sinrotxz11