dopkew
Joined 18 years ago
Joined 18 years ago
https://english.stackexchange.com/questions/25575/what-is-th...
He has had problems registering his bike in India, with his name.
>Now if, for such a purpose, we regard 1/1,000,000 (or one millionth) as a small quantity, then 1/1,000,000 of 1/1,000,000, that is 1/1,000,000,000,000 (or one billionth) ..
1/1,000,000,000,000 is actually one trillionth
> Let us think of x as a quantity that can grow by a small amount so as to become x+dx, where dx is the small increment added by growth. The square of this is x2+2x⋅dx+(dx)^2. The second term is not negligible because it is a first-order quantity; while the third term is of the second order of smallness, being a bit of, a bit of x^2.
It seems to me that the third term is actually a bit of a bit of x, rather than of x^2.