看板
[ Math ]
討論串[微積] 一題高微證明
共 5 篇文章
內容預覽:
他說可以引用就直接引用. Weierstrass approximation theorem. 當中有提到 polynomials are dense in C[a,b] with sup norm. 題目只是改成L^2 norm 而已。. L^2 norm 之下的兩個函數距離，簡單想成方均差的連續
(還有471個字)
內容預覽:
Denote f([a,b]) = Imf. Since [a,b] is compact, f is continuous. by extreme value theorem, there exists c,d€[a,b]. s.t. f(c)=<f(x)<=f(d) , for all x€[a
(還有117個字)