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6:13 AM
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Q: Tag [upper-bounds] is nowhere to be found

Rodrigo de AzevedoAt the moment, MathOverflow has tag lower-bounds (100 questions), but no tag upper-bounds. Are lower bounds that much harder to compute? Or that much more interesting? Worse, due to the non-existence of tag upper-bounds, there are questions on finding upper bounds with the tag lower-bounds, e.g.,...

 
3 hours later…
9:18 AM
I have created the tag.
 
2 hours later…
10:53 AM
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A: Tag [upper-bounds] is nowhere to be found

gmvhI took the liberty of creating the upper-bounds tag, and of retagging the linked upper-bonds question.

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Q: Good upper bound for a certain sum

dohmatobGiven $\gamma \in [0, 1)$, an integer $N \ge 2$, and a decreasing null sequence of positive numbers $e_1,e_2,\ldots,e_t,\ldots$, I'm interested in estimating the sum $S_N := \sum_{t=1}^N\gamma^t e_{N-t}$. Question What is a good upper bound for $S_N$ for large $N$ ? Observations Empirically, ...

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Q: Good upper bound for $\Gamma(1-b,\log(a))-\Gamma(1-b,N\log(a))$, where $a,b \in (0, 1)$ and $N \ge 1$

dohmatobLet $a,b \in (0, 1)$ and $N \ge 1$, and consider the incomplete gamma function $x \mapsto \Gamma(1-a,x)$. Question Is there a simple bound (involving 'simple function's) for the expression $\Gamma(1-b,\log(a))-\Gamma(1-b,N\log(a))$ ? Motivation Ultimately, I'm interesting in bounding the sum ...

@gmvh I will just add that if seems like a good idea, moderators can create a synonym. (Or even merge the tags, if they decide to do so.) So that can be done without bumping the old posts.
 
4 hours later…
3:02 PM
This looks like a noisy variant to "inequalities". I've added upper/lower bounds in the tag info.
@MartinSleziak you're perfectly right; I changed to
3:17 PM
5
Q: The first female algebraist in US/Britain?

Hailong DaoRecently I dug up some biographical details of Lindsay Burch, of Hilbert-Burch Theorem fame, whose few papers have had quite an impact on commutative algebra. This made me curious about the first women who obtained PhDs in abstract algebra in the US and Britain. Question 1: Who was the first wom...

3:31 PM
@YCor would you then suggest deprecating or merging the existing tag?
@gmvh I'd suggest (1) to make it a synonym of . If (1) is not done, think that (2) changing it to in all existing questions would be better than statu-quo, or creating and making and synonyms. In any case I think (1) is better, as the distinction as a tag between inequalities and bounds sounds imprecise and quite pointless.
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When similar tags were discussed on Mathematics Meta, there was some opposition - but probably not strong enough: Tag management 2017, Tag management 2016.

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