Expression 2: "f" left parenthesis, "x" , right parenthesis equals Start sum from "n" equals 1 to length left parenthesis, "y" Subscript, "i" , Baseline , right parenthesis , end sum, "y" Subscript, "i" , Baseline left bracket, "n" , right bracket "L" left parenthesis, "n" , length left parenthesis, "y" Subscript, "i" , Baseline , right parenthesis , "x" , right parenthesisfx=lengthyi∑n=1yinLn,lengthyi,x
2
Expression 3: "L" left parenthesis, "n" , "m" , "x" , right parenthesis equals Start product from "k" equals 1 to "m" , end product, left brace, "k" equals "n" : 1 , StartFraction, left parenthesis, "x" minus "x" Subscript, "i" , Baseline left bracket, "k" , right bracket , right parenthesis Over left parenthesis, "x" Subscript, "i" , Baseline left bracket, "n" , right bracket minus "x" Subscript, "i" , Baseline left bracket, "k" , right bracket , right parenthesis , EndFraction , right braceLn,m,x=m∏k=1k=n:1,x−xikxin−xik