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

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0answers
129 views

Writing an abstract for a conference

For the first time, I'm preparing a 2-page abstract, jointly with a faculty member, to submit to a conference in mathematical logic so that the committee can decide if they allow me to present the ...
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3answers
39 views

Is this form of finite induction correctly called “downward induction”

In a paper I'm writing, I have a lemma of the following form: If $a_1, a_2, \dots, a_n$ is a sequence of type X and $a_n$ has property P, then $a_1, a_2, \dots, a_n$ all have property P. As you ...
1
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1answer
28 views

Restrict edge set to certain nodes only

Given a graph $G=(V,E \subseteq V \times V)$, an edge set $D \subseteq E$ and a subset of nodes $W \subseteq V$, is there such thing as an established operator for the "restricted" set of $D$: $$ \{ ...
16
votes
3answers
748 views

Starting sentences with mathematical symbols.

I apologise if this is a duplicate in any way or is too opinion-based. To what extent is it best not to start a sentence with a mathematical symbol? I find that when trying to solve a problem or ...
2
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0answers
71 views

Learning to write the style of mathematics texts

When learning how to write articles in mathematics (in style of articles published in journals) is there a good reference listing things like common outlines, style guides, phrases, common mistakes ...
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1answer
94 views

Writing my first mathematical paper

I'm an undergrad student at a community college, and I am currently taking differential equations. My professor is offering people to hand in math papers for either extra credit or even complete test ...
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0answers
42 views

When to write the introduction to a paper

Writing the introduction to a paper is obviously a fine art, since it sets up everything that follows. I have often heard it said that you should write the introduction last (or perhaps second to ...
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0answers
20 views

Proper way to mention convergence to zero in continuous text?

What is the proper way to state, that a series/integral/variable/sequence converges to zero in continuous text in academic papers? Would you say "...therefore, the sequence $(x_n)_{n \in \mathbb{N}}$ ...
21
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8answers
3k views

LaTeX/TeX Vs. Mathematica for Typesetting [closed]

I know Mathematica like the back of my hand, but I do not know a speck of $\LaTeX$ or $\TeX$. With regards to mathematical typesetting, is there something significant I can do in $\LaTeX$/$\TeX$ that ...
3
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1answer
77 views

Commas between adjectives [duplicate]

Is it correct to use these expressions without commas (as written below)? A finite simple group. A finitely generated abelian group. A finitely generated torsion-free abelian group. A ...
2
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0answers
56 views

Referencing something that isn't a lemma, proposition etc…

I need to reference a fact that is in another paper. It is stated after a lemma, and follows from this, thought perhaps not very directly. I could just reference it as "see [1, Pg. 5]" or "see [1, ...
68
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11answers
10k views

Using “we have” in maths papers

I commonly want to use the phrase "we have" when writing mathematics, to mean something like "most readers will know this thing and I am about to use it". My primary question is whether this is too ...
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0answers
37 views

how to write references

How to write the reference number and the page number at the end of Mathematical proof or definition or any mathematical work I mean [number of reference , number of page] or [number of reference ...
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2answers
199 views

When writing a mathematical model for non-mathematical audiences, how do you begin a sentence defining a variables and parameters?

Say you are writing a mathematical modeling paper in a science journal. How do you write your variable and parameter definitions in paragraph form so that you keep active voice but do not sound ...
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0answers
70 views

Are forward references in a book OK?

In a math book I wrote, there is one forward reference (I'm sure not a proof loop). Should I work hard to eliminate forward references, or one such ref is OK?
6
votes
1answer
3k views

How could I type “not exist” by Latex? [closed]

How could I type "not exist" by Latex? (I can type ``$\exists$''.) Thanks for your help.
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0answers
39 views

Handwriting of special symbol in maths [duplicate]

What are standard ways of writing the symbol ${\mathbb R}$ in handwriting?
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0answers
57 views

What is the best way to express a set in a scientific paper?

I found the bold representation is overly strong, because it really distracts the readers when you have a lot of sets in bold like so: I have a set $\boldsymbol{S}$ and a set $\boldsymbol{P}$ and ...
0
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0answers
61 views

Is this notation acceptable for sums and integrals?

I prefer to use this notation : $$ S = \sum_{1\leq k \leq n} a_k \\ I = \int_{x_1 \in [a,b]} \int_{x_2 \in [c,d]} dx_2 dx_1 $$ over this: $$ S = \sum_{k=1}^{n} a_k \\ I = \int_{a}^{b} \int_{c} ...
2
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0answers
54 views

Using “what” vs “which” when referring to sets of numbers [closed]

When referring to elements of sets, should you use "what" or "which" depending on the whether the set is finite or not? To me a bit more specific, should you say a) "For $\textbf{what}$ values $x \in ...
12
votes
0answers
310 views

Papers with unorthodox writing style

I'm not sure if this is the right forum for this question, in any case probably CW is appropriate? I've been looking around the mathblogosphere for the past few weeks and ran into mathgen. It's ...
0
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1answer
39 views

publish in a conference and journal publication [closed]

what's the difference between the same article that are submitted to conference and journal? can someone help me? Thank you in advance
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2answers
130 views

Is readability ignored in mathematics? If so, why? [duplicate]

Most of the math equations use single character as variables name and functions name, there are also Greek alphabets as well. This is not acceptable in programming since it is too difficult to ...
7
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1answer
395 views

What is “observation”?

Often in mathematical writing one encounters texts like ''..we observe that this-and-that..''. Also one may find a review report basically saying ''..the paper is just a chain of observations...''. ...
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1answer
83 views

Shouldn't we refer to an inequality as an 'inequality' instead of an 'equation'?

As far as I'm concerned, an equation is any mathematical statement of the form LHS=RHS, an inequality is any mathematical statement of the form LHS?RHS (where ? is a placeholder for some inequality ...
0
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1answer
133 views

Lattice Squares; Basic Interesting Facts and Problems

I'm going to write an article in an educational magazine for middle school students, about the game Square It. The purpose of the game is to make lattice squares: I want to introduce the game, and ...
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2answers
524 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
127 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 ...
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6answers
101 views

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

Which is preferable to write: $r2^m$ or $2^m r$?
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1answer
65 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 ...
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0answers
75 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
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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 ...
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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
208 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
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2answers
176 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
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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
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1answer
35 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
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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
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1answer
68 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
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1answer
95 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 ...
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1answer
263 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
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3answers
118 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
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2answers
96 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
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1answer
120 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 ...
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4answers
512 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
107 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 ...
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3answers
501 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 ...
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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
348 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 ...