Expression 5: "f" left parenthesis, "i" , "j" , "k" , right parenthesis equals left brace, "i" less than 1 : negative 1 , "i" greater than "n" Subscript, "u" "m" , Baseline : 2 , "k" equals 0 : "a" left bracket, "i" , right bracket , "i" greater than "j" plus 1 : "f" left parenthesis, "i" , "n" Subscript, "u" "m" , Baseline , "k" minus 1 , right parenthesis , "i" equals "j" : min left parenthesis, "f" left parenthesis, "i" , "j" minus 1 , "k" , right parenthesis , "f" left parenthesis, "i" plus 1 , "j" minus 1 , "k" , right parenthesis , right parenthesis , "i" equals "j" plus 1 : max left parenthesis, "f" left parenthesis, "i" minus 1 , "j" minus 1 , "k" , right parenthesis , "f" left parenthesis, "i" , "j" minus 1 , "k" , right parenthesis , right parenthesis , "f" left parenthesis, "i" , "j" minus 1 , "k" , right parenthesis , right bracefi,j,k=i<1:−1,i>num:2,k=0:ai,i>j+1:fi,num,k−1,i=j:minfi,j−1,k,fi+1,j−1,k,i=j+1:maxfi−1,j−1,k,fi,j−1,k,fi,j−1,k
5
Expression 6: "s" equals left bracket, "f" left parenthesis, "i" , "b" . "x" left bracket, "t" , right bracket , "b" . "y" left bracket, "t" , right bracket , right parenthesis for "i" equals left bracket, 1... "n" Subscript, "u" "m" , Baseline , right bracket , right brackets=fi,b.xt,b.ytfori=1...num
equals=
0.90.9
0.7 6 6 6 6 6 6 6 6 6 6 70.766666666667
0.4 3 3 3 3 3 3 3 3 3 3 30.433333333333
0.2 6 6 6 6 6 6 6 6 6 6 70.266666666667
0.20.2
0.5 3 3 3 3 3 3 3 3 3 3 30.533333333333
0.9 3 3 3 3 3 3 3 3 3 3 30.933333333333
0.3 6 6 6 6 6 6 6 6 6 6 70.366666666667
11
0.3 3 3 3 3 3 3 3 3 3 3 30.333333333333
0.40.4
0.6 6 6 6 6 6 6 6 6 6 6 70.666666666667
0.60.6
0.1 6 6 6 6 6 6 6 6 6 6 70.166666666667
0.8 3 3 3 3 3 3 3 3 3 3 30.833333333333
30 element list
6
Hidden Label: "b" equals left bracket, left parenthesis, "j" , "k" , right parenthesis for "j" equals left bracket, 0... "n" Subscript, "u" "m" , Baseline minus 1 , right bracket , "k" equals left bracket, 1... "n" Subscript, "u" "m" , Baseline minus 1 , right bracket , right bracketb=j,kforj=0...num−1,k=1...num−1
Label
equals=
left parenthesis, 0 , 1 , right parenthesis0,1
left parenthesis, 1 , 1 , right parenthesis1,1
left parenthesis, 2 , 1 , right parenthesis2,1
left parenthesis, 3 , 1 , right parenthesis3,1
left parenthesis, 4 , 1 , right parenthesis4,1
left parenthesis, 5 , 1 , right parenthesis5,1
left parenthesis, 6 , 1 , right parenthesis6,1
left parenthesis, 7 , 1 , right parenthesis7,1
left parenthesis, 8 , 1 , right parenthesis8,1
left parenthesis, 9 , 1 , right parenthesis9,1
left parenthesis, 10 , 1 , right parenthesis10,1
left parenthesis, 11 , 1 , right parenthesis11,1
left parenthesis, 12 , 1 , right parenthesis12,1
left parenthesis, 13 , 1 , right parenthesis13,1
left parenthesis, 14 , 1 , right parenthesis14,1
870 element list
7
Expression 8: 0 less than "y" less than "s" left bracket, round left parenthesis, "x" , right parenthesis , right bracket0<y<sroundx
