Linear Algebra: Denoting an interval

[Niles]

Homework Statement

Hi

I have a position given by the point 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 this point. Can I write this interval as


$$x,y \in [(x-v_x)^2-(y-v_y)^2=4]$$

?


Niles.

 

[Mark44]

Homework Statement

Hi

I have a position given by the point 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 this point. Can I write this interval as


$$x,y \in [(x-v_x)^2-(y-v_y)^2=4]$$

?


Niles.

The domain of definition is not an interval, which is a segment of a line. The domain is a circular disk of radius 2, centered at the point (v_x, v_y). You would write the domain as
$$D = \{(x, y) | (x - v_x)^2 + (y - v_y)^2 \leq 4 \}$$