The discussion centers on defining the domain of a function constrained within a circular area in linear algebra. The correct representation of this domain is given by the equation D = {(x, y) | (x - v_x)² + (y - v_y)² ≤ 4}, indicating a circular disk of radius 2 centered at the point (v_x, v_y). The initial attempt to denote the interval as [(x - v_x)² - (y - v_y)² = 4] is incorrect, as it does not accurately represent the circular region required.
PREREQUISITESStudents and educators in mathematics, particularly those focusing on linear algebra and geometry, as well as anyone involved in defining mathematical functions within specific domains.
Niles said: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
[tex] x,y \in [(x-v_x)^2-(y-v_y)^2=4][/tex]
?
Niles.