# Questions tagged [article-writing]

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

394 questions
Filter by
Sorted by
Tagged with
20 views

### Book or article on Bernoulli numbers and polynomials

I am looking for a book or article that deals in detail with the Bernoulli numbers and polynomials.
• 149
1 vote
35 views

### In which cases can the article "the" in sentences be eliminated? [closed]

In the sentence "Geometric interpretation of the non-commutativity of unit quaternion multiplication", can we just write "... of non-commutativity of ..." ?
• 149
1 vote
35 views

### Measurement or measure of a complex number?

In math, do we write "measure of an angle of two vectors" or "measurement of an angle of two vectors"?
• 149
1 vote
65 views

### How to write maths

In the sentence below, which expression is better to choose: "their multiplications" or "their multiplication" : "This identification allows us, first, to present a new polar ...
• 149
63 views

### Why do we say a non-negative real number

In some articles, we write "non-negative real number". Why we don't simply say "positive real number" ?
• 149
1 vote
8 views

### Cross-references in a LaTeX document [migrated]

When I click on the link of a reference (equation, image, section...) it sends me to the beginning of the page where the reference is and not to its exact location.
• 149
13 views

### How do I express that something is distributed over an interval?

I have a set of states between $t=0$ and $t\to\infty$. I'd like to write the following: The states are distributed over $t=\left(0,\infty\right)$, so the intervals in $t$ between them are ...
47 views

### Mathematical English in PDE's type paper

I am trying to write some materials in PDE content. However, my English is not very good. Do we have some PDE's type papers or books that is well-written? I am reading the book by Trinduger, but I can ...
• 523
25 views

### Is there a name to refer to point $A$ / point $B$ when discussing vector $\overrightarrow{AB}$?

In a code, I am writing a concise documentation of a function that needs 2 vectors defining a triangle $ABC$. The function performs an operation which is invariant up to a translation, so two vectors ...
13 views

### Rephrasing statement: Let $S$ be a set of eigenvalues of an operator $T$. Then $S=[1..n]$

How can I write the following statement in a concise English sentence, using the expressions commonly used in math context (e.g., unique, if and only if)? My question is about the exposition of the ...
• 165
79 views

### How can I say "$T \to \infty$ implies ..."?

I would like to know a better way to say "$T \rightarrow \infty$ implies ..." when writing / speaking. I tend to write this as "Limiting $T$ to $\infty$ implies ...", but others ...
• 424
18 views

### Correct description/numbering of formulas across multiple pages

I don't want to discuss a mathematical problem here, I want to ask how to meaningfully present formulas that extend over several pages. Attached is my suggestion where on the first page the equation ...
• 31
105 views

### Can I change a Lemma to a Proposition?

I am getting confused about one thing: I am reading a paper say X. Paper X has a Lemma in it. I am also writing a paper for my dissertation. I want to use the Lemma from Paper X in proving a theorem ...
• 1,662
14 views

### Writing mathematical expression for limit on allowed repetitions

I have to write the expression explaining, in $0\leq C_1 \leq C_2\leq \cdots \leq C_r$ "There are no more than $l$ numbers (i.e. $C_i$'s) that can have the same value." How do I write the ...
• 505
16 views

88 views

### Summarising a Research Paper

I thought to put this out to the community. I am an Undergraduate student summarising maths papers, firstly to get to grips with reading mathematical research and collecting a body of interesting ...
• 1
1 vote
42 views

### Compact notation for limit at two different points of interest

Is it acceptable to replace $$\lim_{x\to a}f(x)=\lim_{x\to b}f(x)=c$$ with $$\lim_{x\to \{a,b\}}f(x)=c?$$ If not, is there another way I could state such a fact in a compact manner without having ...
• 152
1 vote
47 views

### Interpretation of "[Numbers] are taken modulo" in scientific writing and best practice suggestions

This is a question specific to scientific writing and not about the modulo operation. The final question will be: Is this expression well-formed, or should it come with clarification? On several ...
• 113
1 vote
20 views

### Grammatical standard for ordinals of complex expressions

In English, ordinals are usually created by appending a “-th” or “-eth” sound to the end. In mathematics, this extends to variables, hence the word “$n$th”. But the numbers 1, 2, 3, and 5 are ...
58 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, ...
• 6,137