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Initial idea is to use euclidean distances. But I do not understand how should I solve this task.

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  • $\begingroup$ Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. $\endgroup$
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    Commented Aug 20, 2022 at 17:21

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I don’t know the solution but I will try like below

  • Two stations are enough to know position . Since station has error , we need more measurements
  • we draw 4 circles. 2 circles from each station. One circle with radius distance - error and other with radius distance plus error
  • By solving four circle equation , we will get a patch where mobile lies
  • a new station will benefit if it’s error is less than the error of any of two stations.
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