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Results tagged with soft-question
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user 9025
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
2
votes
Best way to present (or avoid) a tedious epsilon argument in a paper
(a) Don't forget that there is a notation $o(1)$ for functions whose absolute values are eventually less than any positive $\varepsilon$.
(b) These days there is an option for proofs that are technic …
10
votes
Accepted
Resubmit paper to same journal
A paper can be accepted (maybe subject to minor changes), rejected with a request for certain major changes, or rejected outright. If your paper fits into the middle category (which the editor will us …
- 37.7k
6
votes
Physical Disturbances to Computations
In the 1970s, or was it the 1980s, IBM ran a large number of computers for months down a deep mineshaft and another lot at ground level, to test the hypothesis that cosmic rays were responsible for ra …
7
votes
Notable math from those without math PhDs
To answer your second paragraph rather than the first, the best way to break into a field other than your own is to form a collaboration with someone already in the field. Doing it on your own could b …
18
votes
How to write an abstract for a math paper?
Jeffrey has made a good list. I'll add one:
A major purpose of an abstract is to help interested people find your paper when they search for a topic. To that end, if there are multiple names in use …
28
votes
How come mathematicians published in Annals of Eugenics?
One should note that in the pre-WWII period eugenics was not the dirty word that it became later. Actually it was a popular notion across the world, including in countries like the United States. The …
- 37.7k
61
votes
What advantage humans have over computers in mathematics?
The day will come when not only will computers be doing good mathematics, but they will be doing mathematics beyond the ability of (non-enhanced) humans to understand. Denying it is understandable, b …
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 …
- 37.7k
5
votes
Should computer code be included within publications that present numerical results?
There are some issues that are not emphasised enough in the previous comments and answers. Having the source code used by an author does not let you check that the author's theorems are correct. It on …
30
votes
Examples of seemingly elementary problems that are hard to solve?
Cacetta conjecture. If every vertex of an $n$-vertex directed graph has at least $n/3$ edges leaving, then the graph has a directed triangle.
You can explain this even to a non-mathematician with a …
19
votes
Dealing with unwanted co-authorship requests
If several people work collaboratively on a problem, they all get to be authors even if all the ideas that finally led to the solution came from only one of them. That is a perfectly ordinary situatio …
77
votes
Awfully sophisticated proof for simple facts
The sum of the degrees of the vertices of a graph is even.
Proof: The number $N$ of graphs with degrees $d_1,\ldots,d_n$ is the coefficient of $x_1^{d_1}\cdots x_n^{d_n}$ in the generating function $ …
0
votes
6
answers
415
views
Equivalence relations not associated with a group
This is a vague question; so vague that I wonder if anyone will get it. Many, perhaps most, equivalence relations that are regularly used in mathematics correspond to the orbits of some group action t …
33
votes
Titles composed entirely of math symbols
$R(4,5)=25$
B. D. McKay and S. P. Radziszowski, J. Graph Theory, 19 (1995) 309-322.
The title is also the main theorem. $R(4,5)$ is a classical Ramsey number (the one most recently determined exact …
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 …
- 37.7k