# Questions tagged [article-writing]

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

364 questions
Filter by
Sorted by
Tagged with
81 views

### Research article inspired by a question on MSE?

I am writing a short research article that was inspired by a question posted on this site. Is mentioning this in the article viewed as unprofessional/undesirable? I specifically mention in the ...
33 views

### the equation (A) vs Equation (A)

Quick question about grammar in English. Consider the equation $$x^2=c \tag{A}$$ Do we say that: For every $c<0$, the equation (A) has no real solution. For every $c<0$, Equation (A) has no ...
6 views

### What is the proper terminology for node/edge output by an algorithm? [closed]

What is the proper terminology for node/edge output by an algorithm? e.g. solution node, selected node?
35 views

### Using existential statements in informal mathematical reasoning

In symbolic logic, existence statements are normally written as $\exists x P$ where $P$ is some smaller statement. The $x$ is bound by the existential quantifier and the scope of $x$ is $P$. When ...
16 views

### Summing Term over only edges involving a particular node

I've got a quick notation question. Currently I'm trying to do a sum over all edges of a graph as so: $$\sum_{i, j\ \in {E}}^{m}\frac{J_{i j}}{4}Z_{i}$$ What notation would indicate I only wanted to ...
97 views

46 views

### Which does “themselves” qualify, “proofs” or “three theorems” in this sentence? (Michael Spivak “Calculus 3rd Edition”) [closed]

I am reading "Calculus 3rd Edition" by Michael Spivak. There is the following sentence in this book: The proofs of the three theorems themselves will not be given until the next chapter, ...
42 views

### How to write a mathematical expression defining a set with double “such that”?

I have a sentence I am trying to translate as a mathematical expression but I am not sure if the expression matches what I mean. The mathematical expression I came up with: What I actually mean: F is ...
100 views

### When professional mathematicians solve problems, do they use pen and paper or do they type directly into LaTeX? [closed]

When professional mathematicians solve problems, do they type directly into LaTeX or do they solve problems using pen-and-paper? By professional mathematicians, I include those pursuing a mathematics ...
64 views

### Proper notation for corresponding members in sets

I'm an amateur 42 years removed from academia so I don't always know "the language". In a paper I am writing, I specify search limits like $\;4\le m \le 9\;$ and then show, in examples, how ...
41 views

### Which Mathematical Concepts and Objects Do Not Require Citations in an Article?

I very much want to give credit where credit is due and avoid accusations of plagiarism. Obviously certain mathematical concepts (e.g., addition) and objects (e.g., the set of Fibonacci numbers) are ...
34 views

### How should I denote vectors and matrices in equations when accessing contents within in a scientific paper?

I come mainly from a software background and my math is not as strong as my programming. I am writing a paper and cover the basics of neural networks. As an example, here is what I have in terms of ...
25 views

### Should Two Unrelated Remarks Be Presented in One “Remark” Section, or Two?

Suppose at a certain point in my article I would like to make what are essentially two unrelated observations, where each pertains to the topic of discussion but neither is of sufficient importance to ...
46 views

### How to Avoid Abusing the Terminology of Interpretations and Representations With Respect to Formal Languages?

I find myself floundering in terminology, with the result that I fear the article I am writing will only appeal to readers afflicted with masochistic tendencies. At the very least, there is the ...
35 views

### In a Discussion Involving Formal Languages, Can a Word Be Regarded as an “Expression”?

In order to avoid sounding repetitious by too frequently using the word "word," I would like to be able use the word "expression," writing, e.g., "Applying the function $f$ to ...
38 views

### Can I Use Subscript Notation in an Unconventional Way If I Explicitly Note Its Usage?

I am writing a mathematical article in which I identify certain sets as subsets of another very famous set, the latter very commonly symbolized by an uppercase script letter, as in $\mathcal{B}$. I ...
14 views

### How to Present a Simpler Definition as a Prelude to a More General But Complex One?

I intend the paper I am currently writing to be of interest to professional mathematicians while also being accessible to students at the undergraduate level. One difficulty I face is how to ...
25 views

### What is the common usage for “let” for multiple variables? [closed]

Should I use Let $x$ be (...), let $y$ be (...), ... or Let $x$ be (...). Let $y$ be (...). ... or Let $x$ be (...), $y$ be (...), ... or even something different? What variant is commonly used in ...
28 views

### Suggestion of article to work in degree work

Hello, I am looking for an article to work on my undergraduate project, I am currently finished undergraduate, I want to guide my thesis on something that deals with germs, whitney topology, if I have ...
28 views

### Asterisk Symbol Meaning On a Particular Paper

hope you are all doing well. I am currently reading an article about quadcopters and on dynamic equations there is an asterisk symbol operation which I do not understand. I know that it does not ...
10 views

### Extending a weight function in a formal paper

For the first time, I am writing a research paper on my own. (I previously did so with some supervision of a professor during a summer internship) I would appreciate the opinion of someone with ...
11 views

### How to reference a paragraph?

Whats the best way to reference a paragraph. Basically, I don't want to say by line ___ on page ____ ... On the other hand the paragraph in question is a bit long and not formal in the separation of ...
52 views

### Mathematical Writing: Can objects in a definition be assigned any name, even though this name is used elsewhere in the text?

Consider the following example: On page 1 of my paper I write: Let $R$ be a finite commutative ring with $1$. ...[some text where I use $R$]... On page 3 of the paper I write: $\textbf{Definition.}$ ...
15 views

### Word to describe “semi-optimal” solutions

I have an algorithm (based on heuristics) that solves for a quantity $x$, producing a practically good result but not guaranteed to be optimal. What adjective can I use to describe this "solution&...
32 views

### How can I rewrite equations with conflicting indices?

I am writing a paper where I have to define theoretical background of the techniques I've used (I'm from the field of Computer Science). However, since I have little mathematical writing background, ...
12 views

### Should one include already cemented proofs of related principles in one's paper?

In a paper I'm writing (purely recreationally, nothing fancy), I state that "an odd number minus an odd number = an even number". I also state that "an even number minus an odd number = ...
17 views

### How to talk properly about stability, reachability, feasibility?

In proper English, should we say : "Proving the stability/feasibility/reachability of ..." or "Proving stability/feasibility/reachability of ..." ? I have found both versions ...
43 views

### Is it standard to write $2>1>0$?

Is it standard to write $2>1>0$ or we should write $2>1$ and $1>0$?
25 views

### What is the convention for referencing matrix indices with values greater than 9?

I would like to reference elements of a matrix $A$ such that each element can be found by its corresponding row and column position. Namely, $a_{ij}$ where $i$'s are rows and $j$'s are columns. The ...
47 views

35 views

51 views

### A conjecture about the solvability of rational equations of transcendental functions by elementary numbers

Is my conjecture below mathematically and linguistically correctly formulated and well formulated? How can the conjecture be improved and shortened/simplified and made more intelligible? The ...
69 views

### Is it okay to mix $\iff$ and $\implies$ in a single derivation?

Say, I have to write down the steps to solve this equation $$\frac{1 + ax}{a} - x = \frac{1}{a^2}(x - a).$$ Is the following manner a good way to write it? \begin{align*} \frac{1 + ax}{a} - x = \...
29 views

### Writing style for modular arithmetic with multiple equivalences in a single line or split between multiple lines

Is this a valid notation in modular arithmetic? $$2 \equiv 12 \equiv 22 \equiv 32 \pmod{10}.$$ If I want to split this into multiple lines (say, I have got expressions that are very long), then what ...
22 views

### What is a concise (and formal) way to say “The performance of algorithm $A$ has the same order as $B$ ”?

Suppose I have two algorithms $A,B$ whose performance is measured by a value that evolves with time and can be positive or negative. For any given performance bound on $A$ it is straightforward to see ...
69 views

### Soft question regarding math theses [closed]

I'm currently in high school and I am wondering about how math papers a formated. In standard literature studies essays, we are told to "come up with" a thesis statement, present it in the ...
Reading the following statement : Theorem : An operator $A$ has the property $P$ if $\underset{\lambda \rightarrow 0}{% \lim }\left( A-\lambda \right) ^{-1}$ exists. Does the reader understand that \$...