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Martin Sleziak
Martin Sleziak
18:52
One year-old question: Proving $ \frac{x^3y^2}{x^4+y^4}$ is continuous.
One week-old question: Continuity of $\frac{x^3y^2}{x^4+y^4}$ at $(0,0)$?
duplicates Which one of them to choose as the duplicate target? Or should they be merged?
The answers seem to be of a similar quality, but (surprisingly) the older one does not have an answer based on AM-GM.
Merging would result in somewhat duplicitous answers using polar coordinates.
I would say that the newer question has (slightly) better answers, so my preference would be to close the older one.
Martin Sleziak
Martin Sleziak
19:19
The newer post was closed by Did.
@Did I have noticed that the other post does not have answer based on AM-GM; otherwise the answers seem to be more-or-less comparable. If this one has slightly better answers, would it perhaps make sense to close in the other direction instead? (I have asked the same thing also in chat.) — Martin Sleziak 8 secs ago
Just in case you will peek in this room @Did, this closure also seems less than optimal: math.stackexchange.com/questions/1834521/… closed as a duplicate of math.stackexchange.com/questions/511518/…
A question which specifically asked to avoid epsilon-delta proof was closed as a duplicate which specifically asks for epsilon-delta proof.
But even if we ignore this difference, the duplicate target only has one answer, while the closed question has three answers using different techniques.
@MartinSleziak Thanks to mixedmath for reclosing this one in the opposite direction.
Martin Sleziak
Martin Sleziak
19:52
@MartinSleziak Calling AM-GM, the inequality $2ab\leqslant a^2+b^2$? Well... (On the fascinating problem of deciding which post should be declared duplicate of which other, in this case I am rather agnostic, I am afraid. But the present situation does not seem absurd, does it?) — Did 46 secs ago
Martin Sleziak
Martin Sleziak
20:28
Well, it seems general accepted that duplicate target should be chosen not simply by age, but also with regards to better question/better answers: meta.math.stackexchange.com/questions/16417/… (I do not claim that in this particular case the difference is that significant.)
Since there are four very similar posts, this is the current situation:
Proving $ \frac{x^3y^2}{x^4+y^4}$ is continuous. is not closed at the moment.
Continuity of $\frac{x^3y^2}{x^4+y^4}$ at $(0,0)$? is closed as a duplicate of Multivariable Delta Epsilon Proof $\lim_{(x,y)\to(0,0)}\frac{x^3y^2}{x^4+y^4}$ --- looking for a hint
Prove $\lim_{(x,y)\to (0,0)} \frac{x^2 y^3}{x^4 + y^4} =0$ preferably without $\varepsilon - \delta$. is closed as a duplicate of Multivariable Delta Epsilon Proof $\lim_{(x,y)\to(0,0)}\frac{x^3y^2}{x^4+y^4}$ --- looking for a hint
Well, absurd is probably too strong word, especially considering that this is a totally insignificant issue. But closing a question which explicitly asks to avoid epsilon-delta proof is closed as a duplicate of a question with explicitly asks for epsilon-delta proof is definitely strange. — Martin Sleziak 44 secs ago
Martin Sleziak
Martin Sleziak
20:47
@MartinSleziak Interestingly, no answer to the "explicit delta-epsilon" question even mentions any delta or epsilon... Since you asked for my opinion, let me mention that I find neither the AM-GM/no AM-GM distinction nor the delta-epsilon/no delta-epsilon distinction you mention, the least meaningful. Hence no, not strange. — Did 1 min ago

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