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Sep 8, 2020 at 18:41 vote accept Erel Segal-Halevi
Sep 8, 2020 at 18:41 comment added Erel Segal-Halevi Wonderful, thanks so much
Sep 7, 2020 at 18:52 comment added Iosif Pinelis @ErelSegal-Halevi : A negative answer to the question without the existence assumption is now posted at mathoverflow.net/questions/371123/…
Sep 7, 2020 at 15:29 comment added Iosif Pinelis @ErelSegal-Halevi : You did say "if such x exists". The bulk of the work here was to formalize the problem. Anyway, I think that without the existence assumption and with a reasonable formal interpretation, the answer will change to "no". However, I'd suggest that you post, separately, a quite formally presented question without the existence assumption, avoiding such terms as "query", "access", etc. or perhaps using them only for an accompanying informal version of the question.
Sep 7, 2020 at 15:17 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 7, 2020 at 15:17 comment added Erel Segal-Halevi Thanks! But this solution assumes that such a point $x$ exists. What if we do not make this assumption, and need to also decide whether or not it exists?
Sep 7, 2020 at 15:10 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 7, 2020 at 15:02 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 7, 2020 at 14:51 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 7, 2020 at 14:40 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 7, 2020 at 14:07 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 7, 2020 at 12:43 history answered Iosif Pinelis CC BY-SA 4.0