Bound a Difference between Map Coordinates - Practice 1

5 questions0m 0s

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When each coordinate has a stated maximum absolute error, a conservative bound on their difference is the sum of those error bounds. This is a one-dimensional bound, not a probability or confidence interval. All measurements are invented.

Worked example

Coordinates each within 3 m of their true values can have a difference error up to 6 m when their errors oppose.

Question 1 Fictional coordinate pair 1: first error at most 1 m, second at most 2 m. What conservative maximum absolute error in their difference, in m? Answer

Question 2 Fictional coordinate pair 2: first error at most 2 m, second at most 3 m. What conservative maximum absolute error in their difference, in m? Answer

Question 3 Fictional coordinate pair 3: first error at most 3 m, second at most 4 m. What conservative maximum absolute error in their difference, in m? Answer

Question 4 Fictional coordinate pair 4: first error at most 4 m, second at most 5 m. What conservative maximum absolute error in their difference, in m? Answer

Question 5 Fictional coordinate pair 5: first error at most 5 m, second at most 2 m. What conservative maximum absolute error in their difference, in m? Answer