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These two are ditto duplicates,

The Function $f:\mathbb{R}^{2}\rightarrow \mathbb{R}^{2}$ defined by $f(r,\theta)=(r\cos\theta,r\sin\theta)$

On which open set $f$ admits an inverse?

Just that one has a lot of typos. I flagged them and the flag was declined. What's happening?

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  • $\begingroup$ FYI: math.stackexchange.com/review/close/643837 $\endgroup$ – user99914 Jun 13 '16 at 9:18
  • $\begingroup$ @JohnMa,are duplicate flags processed in close flag queue? Also, interestingly, the questioner of one of them has answered the second! $\endgroup$ – Jesse P Francis Jun 13 '16 at 9:20
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    $\begingroup$ Doesn't that make sense? You want to close the question because it is a duplicate. $\endgroup$ – user99914 Jun 13 '16 at 9:22
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    $\begingroup$ As Travis observed many things point at the question mixing domain and codomain. Because of that I would be inclined to close both as unclear. $\endgroup$ – Jyrki Lahtonen Jun 13 '16 at 9:40
  • $\begingroup$ @JohnMa, what convinced you to vote it as Leave Open? $\endgroup$ – Jesse P Francis Jun 13 '16 at 9:54
  • $\begingroup$ @JessePFrancis I did not vote this one. $\endgroup$ – user99914 Jun 13 '16 at 9:55
  • $\begingroup$ @JohnMa, confused you with JohnMarkPerry, sorry! $\endgroup$ – Jesse P Francis Jun 13 '16 at 9:56
  • $\begingroup$ @JyrkiLahtonen, This is from CSIR NET, a bi-annual examination in India qualifying one for Lectureship. $\endgroup$ – Jesse P Francis Jun 13 '16 at 9:58
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The duplicate flag (as any close flag) puts the question in the close-review queue where it is processed by users (not moderators specifically, though a moderator can do reviews in the close-queue too).

The status of the flag is decided based on the outcome of the review.

The flag was declined because three users voted "Leave Open" in the review queue as can be seen on the review-card linked to by John Ma. The three LO votes mean that the review is completed, with the outcome not in line with the flag (close as duplicate) it is thus marked declined.

This is the technical side of things. Why those users decided to vote leave open is hard to know. But in my experience the fact that something is proposed to be a closed as a duplicate (rather than for some other reasons) is something one can reasonably overlook. Thus, I'd speculate that the users just did not notice it was a vote for a duplicate and the vote to LO are against a general closure.

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  • $\begingroup$ now, what is to be done? Jyrki suggests closing both as unclear! $\endgroup$ – Jesse P Francis Jun 13 '16 at 9:52
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    $\begingroup$ Myself I'd speculate that some of these users are robo-reviewers who cast a large number of "Leave Open" votes in a very short window of time, with a few seconds between each vote. "Leave Open" is quicker to cast than "Close". $\endgroup$ – Najib Idrissi Jun 13 '16 at 9:58
  • $\begingroup$ @NajibIdrissi, I think the badges are a big motivating factor for many of such reviews. Do the SE engine show any warning to users who more frequently vote "Leave Open"? $\endgroup$ – Jesse P Francis Jun 13 '16 at 10:15
  • $\begingroup$ @JessePFrancis Not as far as I know. If you see it happen you can leave flag for mod attention for really egregious cases, but otherwise there's not much one can do, and I don't think there's any kind of automated system in place. $\endgroup$ – Najib Idrissi Jun 13 '16 at 10:17
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    $\begingroup$ @Najib: That is probable. I once clocked myself, however, and a few seconds is often enough. With duplicates, however, I do agree that a few seconds is usually not enough, as some additional attention needs to be given to the content of both threads. $\endgroup$ – Asaf Karagila Jun 13 '16 at 11:25

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