Denoting an interval

Oct 2008
49
0
Hi

I have a position P determined by the point, at which a vector v points to. Now I have a function, which is only defined for the points on and inside a circle with radius 2 within P. Can I write this interval as

\(\displaystyle
x,y \in (x-v_x)^2-(y-v_y)^2=4
\)

?

Sincerely,
Niles.
 

Defunkt

MHF Hall of Honor
Aug 2009
976
387
Israel
That is a bit informal. You can write it like this:

\(\displaystyle A := \{ (x,y) \in \mathbb{R} ^2 : \ (x - v_x)^2 - (y - v_y)^2 = 4 \}\)

And then you can let \(\displaystyle (x, y) \in A\) which, if I understand correctly is what you're looking for.