# Questions tagged [article-writing]

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

290 questions
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### Probability Theory Verification

I am writing some notes on basic probability in my own version, but regarding to many different versions of probability concepts I have found in several books and articles..I would like to ask whether ...
0answers
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### Reference to named theorem

Assume Theorem 1 is Pythagoras' theorem, I want to reference it and I want to be nice to the reader and tell them at the point of reference both that I'm referring to the Pythagoras' theorem as well ...
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### Most clear notation for expansion of functional relations for arbitrary dependencies?

This is a question about notation, and clear exposition in a paper. (I haven't published a paper before). I have a set of variables $\mathcal Y=\{Y_1,...,Y_n\}$, and a directed acyclic graph $D$ with ...
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### How to properly write the conditional probability distribution when talking about existence of a random variable?

I am writing a paper and I want to describe the following conditional distribution in an equation. Suppose that we have a binary variable $X$ and a random variable $Y$. Conditioned on $Y = y$, ...
2answers
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### When is it appropriate to add a title to a theorem?

I am writing a paper and I have proved a couple of theorems and three propositions. Is it appropriate to add titles to these theorems and propositions for more clarity? For instance, say Theorem 2. (...
1answer
27 views

### How to cite a theorem in the proof of another theorem?

I want to prove a theorem using the result of a well-known theorem. Should I write the well-known theorem as a lemma since it aids the proof of my theorem or as a theorem?
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### How to use $\forall i$ in a sentence?

For example, when I want to say "we need to make sure $a_i<0$ for all values of $i$". Do I need to put a "," between $a_i<0$ and the $\forall$ notation? or I can plainly write it as: "We need ...
2answers
52 views

### Is it correct to write $(a,b,c) < d$?

I want to say that the scalars $a$, $b$, and $c$ are all smaller than $d$. Is it mathematically correct if I write it like $$(a,b,c) < d?$$
2answers
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### How important is to use the $\forall$ notation in the optimization frameworks?

Consider I write the following optimization in my manuscript: $$\min_{X,Y} f(X,Y)\\s.t. ~x_{ij},y_{ij} \in \mathbb{R}^+,$$ where $X,Y$ are matrices, and by those constraints I mean their entries ...
1answer
42 views

### Should we use parentheses to delimit inline math expressions appearing in text?

Consider this snippet: After adding $1$ to $2^n + 1$, we get $2^n + 2$. Then this: After adding $1$ to $(2^n + 1)$, we get $(2^n + 2)$. Is there any writing style convention that prefers one ...
1answer
28 views

### Calculus based or calculus-based?

I've noticed something strange in the literature. Regardless of context, there seems to be a trend where some authors will say 'calculus-based solution' or 'calculus-based physics' whereas others will ...
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9 views

### Managing complexity and how to avoid errors?

How to manage complexity and how to avoid errors? Particularly in "dense" equations. Yeah, intuitively, check everything. However, I've sometimes fiddled with problems that "deviate" into directions, ...
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### Notation suggestion for modeling discrete random variables in model

I am developing a set of linear difference equations to model labor hiring. In each equation, there are two variables that take on values from a stochastic binomial random variable with $n$ trials and ...
1answer
33 views

### Writing a set of functions

Let $A$ be a countable set of subsets of $\mathbb{R}$ $f:A \rightarrow \mathbb{Z}$ be a bijection $O= \{x_k:\mathbb{R}\rightarrow \mathbb{R} \mid k\in [1,\dots, K]\subset \mathbb{Z}\}$, for some $K$ ...
2answers
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### Using terms “necessary” and “sufficient” when writing proofs for logical equivalence?

Often times in mathematics writing, authors prove the two sides of the implication by showing a proof of necessity and a proof of sufficiency, and the proof takes the following template: ...
2answers
61 views

### Problem in Math Writing [closed]

I have a problem in math writing. Consider $a_i$ with $1\leq i \leq n$ are some elements over a field. My Question: Which of the following statements is correct? A) Let $a_i$'s satisfy the ...
1answer
91 views

### Will Math Ever Stop Using Paper? [closed]

This is an odd question, yet I must still inquire: will math ever stop using paper? In the writing industry, paper is dead; we do all our writing on computers. Yet with all of mathematics' complex ...
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27 views

### an approximation to the generalized hypergeometric function

Relating to the article An approximation to the generalized hypergeometric function, I would like to calculated example of the Poisson distribution $Po(10)$. If you have the possibility, please see ...
2answers
32 views

1answer
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### Mathematical Writing, Style: Contractions

I am in the process of finishing up writing my first paper, and I have a question on style. How much should contractions be avoided? Specifically, should "we'll" be avoided? Having looked online, ...