Summary: Year Population
1900 75,994,575
1910 91,972,266
1920 105,710,620
1930 122,775,046
1940 131,669,275
1950 150,697,361
1960 179,323,175
1970 203,235,298
1980 226,540,825
1990 248,709,873

Theorem. Given n + 1 distinct numbers x 0 , x 1 , : : : ,
x n , and n + 1 numbers y 0 , y 1 , : : : , y n , there exists a
unique polynomial p n (x) of degree Ÿ n such that
p n (x i ) = y i ; i = 0; 1; : : : ; n:

Theorem (Runge). Let f(x) =
1
1 + x 2

Source: Arnold, Douglas N. - School of Mathematics, University of Minnesota

Collections: Mathematics