Various aspects of writing mathematics such as style, notation, grammar, frequently used phrases and common mistakes.

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4
votes
2answers
456 views

Smart Pen For Math Writing

Next month I will begin to learn in the university, and I am not sure if to buy smart pen such as Livescribe or Logitech IO 1/2 to write math with.(handwriting is not an option) The problem is that I ...
6
votes
1answer
113 views

How to properly mention names and surnames when writing introductions

I am writing a historical introduction to my master's thesis. Therefore I am mentioning a lot of people and I don't want to write their full name and surname each time. However, I cannot write their ...
0
votes
6answers
99 views

Which one is preferred: $r2^m$ or $2^m r$? [closed]

Which is preferable to write: $r2^m$ or $2^m r$?
1
vote
1answer
63 views

Mathematica code as reference?

I am preparing a paper wherethere are a lot of algebraic simplifications needed. One of them takes 3 pages to get the result. Instead of consuming all the pages can I cite a mathematica code which is ...
1
vote
0answers
74 views

Stylish Academic Writing [duplicate]

I don't know that this question belongs here, but I'd like to know of any references out there anyone here might recommend for writers of mathematical ideas, be it a book, an article, a dissertation, ...
16
votes
14answers
2k views

What are better words to use in an article than “obvious”?

I've heard often than it is ill-form to use the word "obvious" in a research paper. I was hoping to gather a list of less offensive words that mean generally the same thing. For example, one that I ...
2
votes
3answers
69 views

Notation for definition and equivalence

I would like some clarification about the usage/meaning of $:=$ and $\equiv$. I have been using $A := B$ to denote "Let $A$ be defined as $B$." This is akin to assignment ...
16
votes
7answers
2k views

Mathematical writing: why should we not use the phrase “we have that”?

In Knuth's Mathematical Writing, he writes on page 2, at number 8: Don't omit "that" when it helps the reader to parse the sentence. Bad: Assume $A$ is a group. Good: Assume ...
3
votes
1answer
190 views

Commas separating adjectives to describe mathematical objects.

Is there a convention which rules that in mathematics an object with some properties should be referred to as a "property 1 property 2 property 3 ...object" rather than a "property 1, property 2, ...
3
votes
2answers
143 views

When to begin a new paragraph?

When writing a mathematical article, when should someone begin a new paragraph? Is there some specific rule or convention? And more generally, what rules are there about articles-writing?
0
votes
1answer
29 views

Is $X$ has a strong rank 1-diagonal?

Definition 1: A space $X$ has a strong rank 1-diagonal \cite{5} if there exists a sequence $\{\mathcal U_n: n\in \omega\}$ of open covers of $X$ such that for each $x\in X$, $\{x\}=\bigcap ...
0
votes
1answer
32 views

How could I define this $\mathrm{nw}(X)$ by using only one sentence?

A family $\mathcal N$ of subsets of a topological space $X$ is a network for $X$ if for every point $x\in X$ and any neighbourhood $U$ of $x$ there exists an $M \in \mathcal N$ such that $x\in M ...
5
votes
1answer
81 views

Referencing Lemma before introducing it

I am always confused about this: When I am writing a paper I would like to first provide the big picture and then address some detail issues. On the other hand, I think it's common knowledge that ...
0
votes
1answer
64 views

Could someone help me to improve the proof writing?

I will prove the following claim. I'm not a native English speaker. Could someone help me to improve the writing? A regular pseudocompact Moore space is ccc and first countable. Prove: I will ...
0
votes
1answer
94 views

What is the most appropriate way to cite others' results as a Lemma?

Recently I am writing something up for possible publication. I am struggling with this question: What is the most appropriate way to cite others' results as a Lemma? For example, this is a ...
1
vote
1answer
208 views

Math Behind the Game “Quoridor”

I'm going to write an article for middle school students to introduce them to the game "quoridor". Tha game certainly is interesting, but it will be great to add to the article some serious "math ...
2
votes
3answers
114 views

Should I put interpunction after formulas?

I am presently doing my first substantial piece of mathematical writing, hence this, probably somewhat silly, question. How does display-style mathematics interact with punctuation? More ...
0
votes
2answers
95 views

Is there something wrong with this statement?

Is this sentence OK or is there something wrong? "Hausdorff is a very weak separation axiom for one to discuss whether the space is metrizable." Do you have a better expression?
1
vote
1answer
119 views

Looking for a better way of expressing this statement

I'm writing an article on topology recently. I'm not good at English writing. It may be good for me to post this question somewhere else; however, I prefer to post here, as it is related to math. My ...
6
votes
4answers
456 views

Are there rules in the useage of prepositions in Math?

It is often to use prepositions in various expressions. E.g. $2$ is in the set of natural numbers $\mathbb N$ The symmetric group on 3 letters $S_3$ is the group consisting of all possible ...
2
votes
1answer
105 views

An article for some undergraduate journal

I'm a student and last year I attended some courses about algebraic geometry. Referring to many books, I wrote personal notes explaining the Cech cohomology of sheaves and some of its applications in ...
1
vote
3answers
459 views

Looking for philosophical subject for my Bachelor Thesis

In may 2013 I have to write a Bachelor Thesis for my bachelor Mathematics. I prefer to choose a subject which involves philosophy. At the same time I have the feeling that my university wants me to ...
60
votes
5answers
2k views

How are mathematicians taught to write with such an expository style?

I wasn't sure if this question was appropriate for MSE. One of the major complaints we see in industry is a person's ability to communicate which includes writing. We see the same thing on questions ...
6
votes
4answers
338 views

Should I include obvious steps in mathematical paper?

I am writing a formal school paper (by formal I mean, with an abstract, a bibliography and 20 pages in length) on mathematics (it is called 'Extended Essay,' for those having knowledge of the ...
3
votes
1answer
259 views

Writing small numbers in Articles [closed]

In primary school I learned that numbers less than 13 should be spelled out in writing. I am suddenly not sure anymore, how I should handle this situation when it comes to article writing in ...
1
vote
1answer
496 views

LaTeX help - multiple answers using set bracket / cases [closed]

I'm brand new to LaTeX and am writing up a dissertation. I have read through several LaTeX guides but have not been able to find the answer there. Does anybody know how to use this ...
2
votes
0answers
37 views

How would you write this sentence

I'm writing a short document about an integer programming (IP) problem instance. I've mentioned that IP is known to be NP-Hard, but that being NP-Hard doesn't automatically qualify this particular ...
11
votes
4answers
633 views

Short forms like “haven't”, “don't”, “let's” [closed]

Is it true that short forms like "haven't", "don't", "let's" should not be used in serious mathematical texts?
2
votes
3answers
184 views

Publishing an article after a book?

If I first publish an article, afterward I may publish a book containing materials from the article. What's about the reverse: If I first publish a book does it make sense to publish its fragment as ...
34
votes
5answers
2k views

How to write a good mathematical paper?

I hesitate to ask this question. However I read many advices from math.stackexchange, and I couldn't find anything similar. A good time always goes too fast! Two years are fled. In the third year of ...
3
votes
2answers
221 views

Can mathematical definitions of the form “P if Q” be interpreted as “P if and only if Q”? [duplicate]

Possible Duplicate: Alternative ways to say “if and only if”? So when I come across mathematical definitions like "A function is continuous if...."A space is compact ...
3
votes
2answers
144 views

Shorthand for $0<i<1$ , $0<j<1$, $0<k<1$

Is it good style to write $0<i<1$, $0<j<1$, $0<k<1$ as $0<i,j,k<1$? The following does not seem so clear: $0<i,j<1$ as it may be interpreted as: $0<i $ and $ ...
15
votes
4answers
671 views

Advice for writing good mathematics?

It's been a (far-fetched, possibly) goal of mine to some day write a math Textbook. I've been thinking about writing this question for a while, but reading an exceedingly mediocre text on Mathematical ...
2
votes
2answers
138 views

Is it bad math style to use the same index symbol in different indexed objects?

The title says it all (I'm referring to the case, when writing for example an article to be published or something similar - something where the writing itself should also be of quality). Example: ...
5
votes
2answers
257 views

Basic guidance to write a mathematical article.

I'm trying to put together a mathematical article on how to obtain certain infinite series for some well known functions by a method of integrals (I like to call it "The Integral Method" - thank you), ...
10
votes
8answers
815 views

Book about technical and academic writing

I'm in the process of writing my Master's Thesis on automata theory. The writing must be in English which isn't my mother tongue. So the question is, given that this is my first time long (hundred ...