A strange function .

1. Dec 1, 2006

mubashirmansoor

A strange function.....

Last night I was faced with a strange function & I couldn't figure out the eqation of the function hence I thought I can get some help from the math experts over here...

The function passes through these cordinates:

(3,1) (4,1) (5,2) (6,2) (7,3) (8,3) (9,4) (10,4) ..............
it's logicallt very simple to predict it's next terms but I still couldn't find the equation....

I'd be really really glad if someone would help me figure this out...
Tahnks.

2. Dec 1, 2006

kesh

add two functions. a diagonal ascending one like y = x/2, and an oscilating one like sin. fiddle with coefficients to get it right

3. Dec 1, 2006

4. Dec 1, 2006

5. Dec 1, 2006

Edgardo

Try using the floor function:

$$\left(x, \lfloor \frac{1}{2}\left( x-1 \right) \rfloor \right)$$

That is the function might look like this:

$$f: [3,\infty) \rightarrow \Re; x \mapsto \lfloor \frac{1}{2}\left(x-1\right) \rfloor$$

Last edited: Dec 1, 2006
6. Dec 1, 2006

mubashirmansoor

Thanks from everybody who posted.
The problem is solved & you were all a great help
Once again Thankyou...