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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

Getting nervous refereeing a paper

You can do the job of a referee, and you can add to it if you wish the job of a copyeditor/editor. I think the criticisms you made all address the readability of the paper; if the author cares, he/sh …
10 votes

Magnitude of Graham's Number?

Such numbers are best understood in terms of some computability hierarchy. A common starting point is Ackermann's function, a version of which grows faster than any primitive recursive function (i.e. …
Gerhard Paseman's user avatar
6 votes

Mathematics in Retirement

In addition to reading weblogs, as some comments have suggested, you should consider starting your own blog.. If you are discreet about it, you could place the occasional link to your writings in oth …
1 vote

Finding information about the basics of an advanced math topic

How basic is basic? An ideal presentation announcement will mention the intended audience, as well as what prerequisites will be assumed and not covered. A bibliography also will give a few clues. …
15 votes

Do's and don'ts of writing survey papers

Since you plan to submit it to be part of the conference proceedings, the editor(s) of those proceedings are likely the best people to ask. I would go to them for critical information such as length, …
3 votes

Punctuation and Other Rules for Variables and Their Verbal Definitions in Math Narrative

No matter what you write, someone will misinterpret it. Your goal should be to minimize this misinterpretation. In this spirit, let me suggest some alternatives that you may find helpful. For quest …
Gerhard Paseman's user avatar
5 votes

How can an extremely mathematically talented young person be helped to fulfill his/her poten...

Wilmar H. Shiras wrote "In Hiding", a science fiction story about a young boy who was smart enough to make himself appear as a B-grade student, but led another life being incredibly creative, like a s …
2 votes

When is it appropriate to entitle a paper "A note on..." or "On the ..."?

If you are writing it for online distribution and otherwise don't care, name it as you wish. If you think it will be read and used by others, then a couple of common sense rules apply: 1) Don't leave …
1 vote

What is "rich structure", actually?

It sounds like richness shares with beauty: the beholder's eye determines what is rich. While I will not attempt to give a quantitative answer, I think the following points can be considered. The o …
9 votes

How does a mathematician choose on which problem to work?

Research works different ways for different mathematicians. My experience suggests that mathematicians collect or invent problems frequently. Sometimes the collection/invention happens in an organiz …
3 votes

Analogues of P vs. NP in the history of mathematics

I have been intrigued by results of Shelah's classification theory. My interpretation of the situation is as follows ( it is full of simplifications, nonstandard terminology, and likely technical err …
5 votes

Advice for number theory library

I have not seen mention of Władysław Narkiewicz (feel free to correct the accents and other marks) and his books on the history of number theory, as well as Ribenboim's texts on certain Diophantine eq …
1 vote

What programming languages do mathematicians use?

For self-education, I have used a wide variety of languages, including BASIC, APL, Pascal, python, and bash. For computer search and verification, I have used bc and awk: bc primarily for "small" big …
17 votes

Titles composed entirely of math symbols

210=14*15=5*6*7 I may have the title wrong. It is about the simultaneous solution of some Pell-like equations. I will provide more detail as my memory permits. Gerhard "Email Me About System Desi …
4 votes

Describe the desired features of a "Mathematics Colloquium"?

A great mathematics colloquium is one which satisfies many if not all of its goals, and may have additional benefits which make it great. A list of potential goals/benefits: accessibility: many if …

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