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Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.

10 votes

Computationally challenging integer sequences

Here is a sequence that is quite famous but not in OEIS I think (perhaps because too few elements are known). A hypergraph is $v$-uniform if every edge has $v$ vertices, and 2-colourable if the verti …
Martin Sleziak's user avatar
2 votes

17 camels trick

A simple graph theory example in the spirit of the question. THM. Let $G$ be a connected graph with $2j$ vertices of odd degree. Then there are $j$ (open) eulerian trails whose endpoints are the ver …
Brendan McKay's user avatar
7 votes

Frequency of papers showing academic misconduct among the articles indexed by MathSciNet and...

What you should do about it: (1) Decide if the case is blatant enough that action is demanded. There are many borderline cases where a previous paper is attributed but not adequately; probably they ar …
Brendan McKay's user avatar
1 vote

Find the expansion of the exact solution (beyond Taylor)

Only the assumption $S\to\infty$ is needed to verify that there is a local minimum near the place where $V_-$ has its minimum, namely at $\mu=\mu_0 = 12^{1/6} S^{-2/3}$, but it doesn't give the approx …
Brendan McKay's user avatar
5 votes

Structures that turn out to exhibit a symmetry even though their definition doesn't

In the definition of "Latin square" there is complete symmetry between the roles of "row", "column" and "symbol", so that any of the 6 permutations of that role produces another Latin square.
Brendan McKay's user avatar
-1 votes

Asymptotics of a function

$f(n) = n^n 4^{-4n} (1 + O(n^{-4}))$. The sum is strongly dominated by its last term. I hope this isn't homework. Apologies. I misread the question exact as Benoît suggests.
Brendan McKay's user avatar
26 votes
Accepted

Formal writing: numbers under 10

Generally speaking you should try to distinguish between an English number and a mathematical number. As in "Over the next five chapters we will prove that 5 is a prime number." Never spell out a num …
Brendan McKay's user avatar
2 votes
Accepted

Multivariate expansion in terms of single variate products: what is the name for this?

This paper calls it "separable of rank $n$" if $n$ is the number of terms in the sum. If the sum is an infinite one, the condition is very weak (for example it includes all functions with a convergen …
Brendan McKay's user avatar
23 votes

Mathematical habits of thought and action which would be of use to non-mathematicians

This is a sort of anti-answer. When the Unabomber Manifesto was published by the NYT, someone in sci.math (or sci.math.research) recognised the reasoning as being like that of a mathematician. I don' …
Brendan McKay's user avatar