Finding the Error Between Two Points

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To define the error between two points with different coordinates, the distance formula is commonly used, calculated as the square root of the sum of the squared differences in their x and y coordinates. This distance can represent how far one point is from the other, indicating the level of error if one point is considered the true location. Additionally, when comparing overlapping boxes of different sizes, calculating the areas of both boxes can help determine the percentage of overlap, providing a clearer measure of how much the "wrong" box covers the "true" box. This approach combines geometric distance with area calculations to quantify error and overlap effectively. Understanding these concepts is crucial for applications in fields like data analysis and spatial modeling.
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if given two points each with different x and y coordinates, what is the best way to define the error between these two points?
 
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How do points have an "error"? About the only measurement I see is the distance between the points:
\sqrt{(x_1-x_2)^2+ (y_1-y_2)^2}[/itex]
 
Like if one point is the true location and you want to say how much off the second point is. I guess the distance between them would be the best way to display this...
 
say there are two boxes that are not equal in size but close that are overlapping. is there an equation that can calculate how much the "wrong" box is covering the "true" box in percentage form?
 
Work out the areas.
 

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