Math Help Forum - View Single Post

CaptainBlack · #2 November 21st, 2008, 04:40 AM

Quote:

Originally Posted by CaptainBlack

An easy one:

Let $x_i=2^i,\ i=1,.., 16$

Find the minimum of the function:

$f(x)=\sum_{i=1}^{16} |x-x_i|$

(I had thought I had already posted this, did it disapear for a reason or am I just misremembering events

)

CB

OK a clue.

Given the function:

$f(x)=\sum_{i=1}^{2} |x-x_i|$

where $x_2>x_1$ what is the minimum of $f(x)$ and where is it achieved.

CB