Question: Define points on a coordinates within a shape...

 

Hi, for each region shown in the figure, there is a single point. I want to define the location constraints of the point in each region

e.g. for region 1 and 5, it is easy to define:

R1 := {p_B <= y_1 <= 1, p_l <= x_1 <= epsilon}

R5:={y_5 <= x_5, p_l <= x_5<= epsilon, p_l <= y_5 <= epsilon}

but what about region 2? it seems wrong if I define like this in maple:

R2 := {epsilon <= x_2 <= p_B, p_B <= y_2 <= 1} union {x_2 <= y_2, p_B <= x_2  <= 1, p_B <= y_2 <= 1}

Or it is actually right....

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