Tagged Questions

19
votes
9answers
2k views

Is the empty graph a tree?

This is a boring, technical question that I stumbled upon while making a contribution to Sage. I would still like to hear a constructive answer so hopefully the question does not g …
1
vote
1answer
186 views

Name convention for the composition of the preimage of a function and the function itself

Hi, given a function $f:X \rightarrow Y$, not necessarily invertible, is there a conventional name for the function $$g_f := f^{-1} \circ f:X \rightarrow \mathcal{P}(X),$$ where $\ …
19
votes
4answers
2k views

When is it appropriate to entitle a paper “A note on…” or “On the …”? [closed]

I rarely find modern research papers (on mathematics) that are less than 5 pages long. However, recently I came across a couple of mathematical research papers from the 1960/1970's …
23
votes
19answers
6k views

Math paper authors' order

It seems in writing math papers collaborators put their names in the alphabetical order of their last name. Is this a universal accepted norm? I could not find a place putting this …
9
votes
6answers
4k views

A symbol to denote the set of prime numbers ?

It strikes me that there is no widely accepted symbol to denote the set of usual prime numbers in $\mathbb{N}$. Look: $$\zeta(s)=\prod_{p\in \mathrm{?}}\frac{1}{(1-p^{-s})}$$ W …
16
votes
2answers
971 views

What is due diligence when translating a paper?

EDIT: Part of the community has decided on a less catchy and more representative title than "Socially acceptable plagiarism (with regards to translation)". Let's run with that fo …
2
votes
2answers
339 views

What is a canonical set of representatives in $GL(n,F)$ for the vertices in the Bruhat Tits building?

$F$ is a non archimedean field here. To be more precise, I would actually prefer a set of representative in $B(F)$ for the discrete space $B(F) / B(o)Z(F)$? This can be phrased al …
4
votes
0answers
578 views

How to find a problem ??? [closed]

Hi All, To do math, of course every one always finds some interesting problems and then try to solve them and then publish them as articles. In particular, in doing PhD, thesis ad …
5
votes
5answers
891 views

Can a corollary follow a conjecture?

It is typical to find a corollary that following theorems, but is it right to use the word corollary for a statement following a conjecture, where the statement is true only if the …