Math symbol help?

mahjk17

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May 29, 2012
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Q = { (x,y) ∣ x,y > 0} ⊂ ℝ^2, what does this general structure mean?
 
Q = { (x,y) ∣ x,y > 0} ⊂ ℝ^2, what does this general structure mean?

R^2 can be thought of as the "xy-plane." Q, as given, is only a set of points in this plane. The pair (x,y) where x>0 and y>0 correspond to one of the "quadrants" of the plane. Which quadrant? Does it include the axes?
 
daon2 thank you a lot, it says the positive quadrant so it must be the first one. And one last thing, what does the line that seperates x,y from (x,y) mean?
 
daon2 thank you a lot, it says the positive quadrant so it must be the first one. And one last thing, what does the line that seperates x,y from (x,y) mean?

I read it: "Q is the set of all points (x,y) in R^2 such that x > 0 and y > 0"
 
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