Consider Explicit upper bound on the number of irreflexive binary relations on {1,…,𝑛} up to isomorphism

In the last sentence, after the last aSb, I see a period when viewed on the standard browser of an iPhone SE (but not in Firefox on Linux):

period right after aSb

According to the source code, there should be no period there. Bug? Could I ask the mods to ask the SE developers to fix this?

EDIT: It turns out that this is the period terminating the sentence. For whatever reason, it is rendered misplaced. If you remove the period terminating the sentence, the problem disappears.

  • $\begingroup$ edited 5 minutes prior to this question by you. $\endgroup$ – user645636 Jan 21 '20 at 11:29
  • $\begingroup$ @RoddyMacPhee Right. I tried to get rid of the phantom period before posting here, but failed. $\endgroup$ – Just_A_Man Jan 21 '20 at 13:35
  • $\begingroup$ line wrapping on mobile possibly. single dollar signs may wrap on mobile so it should be all on one line ending in the prriod but it isn't always. $\endgroup$ – user645636 Jan 21 '20 at 13:59
  • $\begingroup$ @RoddyMacPhee Possibly. Could I ask the mods to ask the SE developers to fix this? $\endgroup$ – Just_A_Man Jan 21 '20 at 14:08
  • $\begingroup$ developers are probably too lazy or not site specific. $\endgroup$ – user645636 Jan 21 '20 at 14:12
  • $\begingroup$ @RoddyMacPhee Let them speak for themselves and let us hope for the best. $\endgroup$ – Just_A_Man Jan 21 '20 at 14:17
  • $\begingroup$ Probably some of the tags (mobile-web), (ios-app) should be added - depending on where this problem manifests. $\endgroup$ – Martin Sleziak Jan 21 '20 at 14:47
  • $\begingroup$ @MartinSleziak Done. The problem appears in the standard iPhone Web browser. $\endgroup$ – Just_A_Man Jan 21 '20 at 14:55
  • 1
    $\begingroup$ This bug report on Meta Stack Exchange seems somewhat similar: Strange MathJax line break behavior in mobile browsers. (It also has a MathJax formula broken into two lines and the text seems to follow the first line.) It is from 2015, which does not sound too optimistic. $\endgroup$ – Martin Sleziak Jan 21 '20 at 18:00
  • $\begingroup$ @MartinSleziak Let's hope that as you linked this bug report there, the chances increased. (I have no reputation there on meta, so, I cannot upvote there, though I'd like to.) $\endgroup$ – Just_A_Man Jan 21 '20 at 18:14
  • $\begingroup$ The period will appear property if you enclose it within the dollars. $\endgroup$ – Shivering Soldier Jan 22 '20 at 2:18
  • $\begingroup$ @ThomasShelby Wow, that’s a kludge. Semantically, a period terminates a sentence, not a formula. Anyway, good to know, thanks !!! $\endgroup$ – Just_A_Man Jan 22 '20 at 5:06

Testing: Does the phantom period appear if I simplify it to this? $\forall\,a,b\in\pi_1(S)\cup \pi_2(S)\colon aSb\Leftrightarrow f(a) S' f(b)$.

Yes. In this screen grab, see the period after $aSb$, but the period after $f(a) S' f(b)$ is missing.


  • $\begingroup$ It still appears on an iPhone and still does not appear on a Firefox in Linux. $\endgroup$ – Just_A_Man Jan 21 '20 at 13:36
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    $\begingroup$ I see an end period in chrome 79.0.3945.79 on an android device. $\endgroup$ – user645636 Jan 21 '20 at 13:39
  • $\begingroup$ Same thing with Safari on my iPhone SE $\endgroup$ – Lucas Henrique Jan 28 '20 at 1:48

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