Jan 7, 2009 #1 L loveinharovrd Newbie level 4 Joined Oct 26, 2008 Messages 6 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Activity points 1,310 **broken link removed** How to get the second equation? Thanks a million ！！
Jan 8, 2009 #2 I iyami Full Member level 4 Joined Apr 12, 2008 Messages 210 Helped 60 Reputation 120 Reaction score 40 Trophy points 1,308 Location Earth (or at least somewhere nearby) Activity points 2,728 | sin(x) - sin | <= | x - y | because | sin(x) - sin | = | (x - y) * sin'(z)| for some z in the interval [x,y] or [y, x] and sin' = cos and |cos(z)| <= 1 for all z. Since this is true for all x and y it is also true for sqr(x) and sqr(x+1)
| sin(x) - sin | <= | x - y | because | sin(x) - sin | = | (x - y) * sin'(z)| for some z in the interval [x,y] or [y, x] and sin' = cos and |cos(z)| <= 1 for all z. Since this is true for all x and y it is also true for sqr(x) and sqr(x+1)