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Questions tagged [mathematical-writing]

For questions about writing mathematical texts, e.g. questions of style, mathematical prose, structuring of mathematical exposition, referencing prior work etc.

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7 votes
3 answers
704 views

What are journal rankings that employers look at? [closed]

What are journal rankings that employers look at? There are few questions on this topic already, but I don't think they fully address my question. Please close this one if it is not appropriate for ...
44 votes
8 answers
3k views

Suggestions and feature requests for the design of a font for math articles/books

Edit: The project website, GitHub repository, and Discord server for Darwin are now up! A little context and introduction: I'm currently working on a family of fonts ("Darwin") designed for ...
39 votes
3 answers
4k views

How to write mathematics without typing?

What solutions exist for mathematicians who need to write papers, but can't type? (I'm an early-career research mathematician and I can't type for the next few months.)
Anonymous's user avatar
  • 401
9 votes
1 answer
546 views

Where can I publish a paper about how to write mathematical papers?

I am thinking about writing a paper: "How (not) to write a mathematical paper." I want to share my thoughts and experience about good and bad habits, and common mistakes. While it will be a ...
Piotr Hajlasz's user avatar
8 votes
1 answer
820 views

Re-typesetting historic math papers

What do I have to take into consideration when re-typesetting mathematical papers that are freely avaible online if the authors are still living if the authors have already passed away as there won'...
Manfred Weis's user avatar
  • 12.7k
18 votes
4 answers
3k views

Should one state the sharpest version of a Lemma even if only a weaker version is needed?

When writing a paper, it's possible that some auxiliary results hold in more generality or in a stronger version than what's actually needed to prove the main results of the article. And so here comes ...
2 votes
1 answer
569 views

Use of singular pronoun "I" in the acknowledgements

I understand that in mathematical writing, it is standard to use "we" regardless of how many authors there are because it includes the reader(s). In the acknowledgements, however, it seems ...
12 votes
1 answer
3k views

How to indicate when another author has done nothing significant

Context: I am currently working on a rather important paper for my career, in the sense that it is a culmination of the past 5 years of (post Ph.D.) research. I started this particular article with 3 ...
ABIM's user avatar
  • 4,775
0 votes
1 answer
146 views

How to quote an numbered equation in a paper

In a research paper, when one quotes a numbered equation, is it necessary to put the definite article the in front of equation like "the equation (3.2)", or is it ok to omit the and simply ...
Windi's user avatar
  • 833
62 votes
9 answers
6k views

Techniques for debugging proofs

After writing many proofs, most of which contained errors in their initial form, I have developed some simple techniques for "debugging" my proofs. Of course, a good way to detect errors in ...
5 votes
1 answer
405 views

How does one build and refine strong technical skills relevant to research?

I am an early career researcher working in an area of "hard" analysis, but this is a fairly broad question. My technical skills are likely below par and my greatest hindrance to my research ...
J.B.R's user avatar
  • 59
-1 votes
1 answer
1k views

Publication Of 50 pages [closed]

Does anyone know of a research journal in mathematics that is willing to publish 50 pages of peer-review research? I would like to submit research that explores how to develop predicate models for ...
33 votes
5 answers
3k views

Shapes for category theory

Most texts on category theory define a (small) diagram in a category $\mathcal{A}$ as a functor $D : \mathcal{I} \to \mathcal{A}$ on a (small) category $\mathcal{I}$, called the shape of the diagram. ...
8 votes
1 answer
515 views

Exposition of concrete constructions

I am frequently interested to find less technical proofs of results which already appear in the literature, at least in some special cases of these results. Sometimes a published proof shows that an ...
8 votes
1 answer
5k views

How to cite an article with an article number (instead of page range)

I am curious to know what is the standard way (in AMS style) to cite a journal article that has an article number and/or a page range. For instance, here is a BibTeX entry from MathSciNet of an ...
Matteo Raffaelli's user avatar
1 vote
0 answers
181 views

What are some great examples of wordsmanship in published literature? [duplicate]

David L. Goodstein begins his book on statistical mechanics, ''States of Matter'', with the following introduction: "Ludwig Boltzmann, who spent much of his life studying statistical mechanics, ...
Klangen's user avatar
  • 1,943
0 votes
0 answers
138 views

Symbol directly after theorem number

I think it is generally agreed that one should not start a mathematical sentence with a symbol. But what about this: Theorem 7.1. $X$ is pseudoquasifinite. I would say that this is acceptable, as &...
Neil Strickland's user avatar
18 votes
3 answers
2k views

Is it a reasonable way to write a research article assuming truth of a conjecture?

I have found a conjecture in a research article (published in a good journal) on number theory, which is not well known but very reasonable. Let me be clear that, there is no counter-example that vote ...
MAS's user avatar
  • 870
12 votes
1 answer
742 views

How bad is it to publish a paper with an overcomplicated proof?

I don't want to go into details for anonymity purposes, but I have co-authored and submitted a paper with a long proof (dozens of pages), and I think that with some moderate effort, we could find a ...
user637140's user avatar
80 votes
6 answers
5k views

How to write a good MathSciNet review?

When reviewing for MathSciNet, I routinely find myself just paraphrasing and abbreviating the introduction provided by the author, and occasionally adding a few words about the quality of the research ...
6 votes
1 answer
328 views

Referring to computer software in a paper

I'm performing a calculation of the Smith normal form of an integral matrix based on the SageMath worksheet. Is it sufficient in the paper to say something like "Using a software package like ...
A. Gupta's user avatar
  • 356
5 votes
1 answer
460 views

Nice way of referring to “some cardinal that always exists”

My apologizes if this question is not MO-appropriate. Often I find myself wanting to state a hypothesis of a consistency result that can hold for an “aribtrary” regular cardinal. Only, it’s not ...
Monroe Eskew's user avatar
  • 17.8k
-1 votes
1 answer
186 views

Typesetting of symbols and "operators" denoting sets [closed]

Question: what are the conventions for typesetting sets of certain objects, especially the vertices and edges of a graph or those adjacent to an edge or vertex. For vectors and matrices there is the ...
Manfred Weis's user avatar
  • 12.7k
7 votes
1 answer
1k views

Is there a canonical resource for mathematical Lorem ipsum text?

I'm designing a template intended for mathematical writing. I'd like to fill the template with Lorem ipsum text, but would like that text to showcase some of the common ways that mathematics is ...
4 votes
0 answers
380 views

Social media for a mathematics related idea buckets

Are there any good social media platforms that can recommended for communicating ideas related to mathematics? The reason for asking is that I am in the situation that, albeit having studied math, I ...
24 votes
2 answers
2k views

Conjecture vs open question on a paper

Suppose that you are concluding a paper and writing the open questions (or further research directions) section, and suppose that you have several claims related to the work in the paper that your ...
11 votes
1 answer
968 views

Treating citation numbers as objects [duplicate]

The following item appears in the $\LaTeX$ style-guide for the Journal of Integer Sequences: To me this seems correct and reasonable, but it in most articles I read, authors tend toward the first ...
-1 votes
1 answer
188 views

Can it be an application of a theorem if I only use it to generalize? [closed]

So I've been trying for a while to write an article on 3 applications of some theorem for a small journal. But after finding my second example I realized that I didn't need the theorem to prove it. ...
fisura filozofica's user avatar
91 votes
14 answers
8k views

Time-saving (technology) tricks for writing papers

I have over the years learned some tricks which saves a lot of time, and I wish I had known them earlier. Some tricks are LaTeX-specific, but other tricks are more general. Let me start with a few ...
1 vote
0 answers
83 views

Terminology: Existence + Representation

I'm looking to describe a result in a recent paper of mine, but I don't know if there is a term used for a result which is both an existence theorem and a representation theorem. Specifically, the ...
ABIM's user avatar
  • 4,775
45 votes
4 answers
1k views

How to write computer-assisted mathematics well?

Much has been said about writting good papers in mathematics. A short google query yields countless sources of advice. This skill also appears to be quite transferrable between basic branches of ...
9 votes
4 answers
2k views

The name for an assumption made for the sake of contradiction

What is the name (or adjective) for an assumption made for the sake of contradiction? To be clear, I'm in search of an expression in the form "a(n) $\underline{\quad \quad \quad \quad}$ ...
21 votes
2 answers
2k views

Can the place of publication be harmful to one's reputation?

What can be said about publishing mathematical papers on e.g. viXra if the motivation is its low barriers and lack of experience with publishing papers and the idea behind it is to build up a ...
3 votes
1 answer
692 views

What are some efficient ways to keep a note of results when reading a research article in mathematics?

I learn and produce mathematics. In that process, I had to read quite a number of research articles. Question : What are some efficient ways to keep a note of results when reading a research ...
3 votes
2 answers
1k views

What does the abbreviation "p.p." mean in the context of convergence [closed]

What does the abbreviation "p.p." mean when referring to convergence? E.g. in the following paper by Harry Pollard THEOREM. If $f \in L^p$ for some $p$ in the range $\tfrac{4}{3} <p < \infty$,...
oliversm's user avatar
  • 201
11 votes
1 answer
568 views

Including alternative proofs

Suppose I have found two or even more proofs of a theorem and I prepare a paper on it. Is it considered to be a good practice to write down all of the proofs? Or is it considered to be my job as an ...
2 votes
0 answers
126 views

Specific versus general in titles of papers [closed]

It may not be possible to use mathoverflow in the way I'm hoping to, but my question is this: Should the title of a research paper in mathematics be as accurate and specific as possible (at the cost ...
SBK's user avatar
  • 1,141
3 votes
0 answers
333 views

Comma usage when defining symbols [closed]

Consider the following sentence that introduces a symbol, $f$, used later in the text (not shown): A classifier is a function $f$, which takes an image as input and produces a label as output. ...
PThomasCS's user avatar
  • 389
28 votes
1 answer
2k views

How can I improve my formal definitions?

I am a Software Architect and not very familiarized with standard notation in mathematics. Nonetheless, I would like to write a paper explaining a normalization of a computing model for expert systems....
Izar Urdin's user avatar
25 votes
2 answers
3k views

Why would one number theorems, propositions and lemmas separately?

When it comes to numbering results in a mathematical publication, I'm aware of two methods: Joint numbering: Thm. 1, Prop. 2, Thm. 3, Lem. 4, etc. Separate numbering: Thm. 1, Prop. 1, Thm. 2, Lem. 1,...
25 votes
8 answers
3k views

How do we explain the use of a software on a math paper?

Suppose one has written a math/computer science paper that is more focused in the math part of it. I had a very complicated function and needed to find its maximum, so I used Mathematica (Wolfram) to ...
1 vote
0 answers
253 views

When writing a research paper, what is the acceptable format for acknowledging my advisor?

I am writing a paper for an independent study course I am enrolled in. I have contributed all of the work to the project. My supervisor has been a guiding force during this research, suggesting things ...
defarm's user avatar
  • 21
1 vote
0 answers
154 views

What exactly is and is not a concentration inequality?

Hoeffding's inequality is surely a concentration inequality. It can be written in the form: $\Pr(\bar X + f(n,\delta) \geq \mu) \geq 1-\delta,$ for some function $f$, where $X$ is a set of i.i.d. ...
PThomasCS's user avatar
  • 389
6 votes
1 answer
2k views

Is it appropriate to add a dedication to a paper?

A paper of mine (relatively junior mathematician) was just accepted in a good journal, and I was considering adding a dedication to the memory of a mathematician in my area that passed away, and whose ...
user132227's user avatar
51 votes
8 answers
4k views

Examples of Mathematical Papers that Contain a Kind of Research Report

What are examples of well received mathematical papers in which the author provides detail on how a surprising solution to a problem has been found. I am especially looking for papers that also ...
3 votes
2 answers
957 views

Would a journal such as Bulletin of the AMS accept an article from a student? [closed]

I am a masters student, and am currently writing an expository article on an area of applied maths for a class project. I plan to work on it for several more months. One of my major goals is to ...
student123's user avatar
15 votes
2 answers
905 views

How to handle results from an unpublished paper?

I am writing a paper right now, and part of the paper makes use of a (trivial) generalization of a number of really nice theorems and constructions from a paper that was never made public. The author ...
7 votes
2 answers
743 views

How Much Flesh to the Bones does an Initial Online Publication need?

Background of my question is the following: I have found a solution for my question Smoothness Conditions for Planar “Mock-parametric” Spline Interpolation and while developing the solution, I ...
37 votes
6 answers
6k views

Obsessive editing/revising of math papers

I've been wanting to ask this question, because I have no insights into the way other mathematicians prepare papers (for eventual publication). How much are editing, revising, updating, adding to, ...
22 votes
8 answers
4k views

Mathematical Writing: Proof Outlines/Overview in a Paper

While my question topic is that of mathematical writing of papers, which is a broad subject, the particular question is specific. I am writing a paper, in which we have a section called "Outline ...