Various aspects of writing mathematics such as style, notation, grammar, frequently used phrases and common mistakes.
Questions tagged [article-writing]
453 questions
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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 real solution.
Detailed explanations other than "1) is…
perturbation
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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 = an odd number".
Now, should I provide the proof for this in the…
A. Kvåle
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Is it standard to write $2>1>0$?
Is it standard to write $2>1>0$ or we should write $2>1$ and $1>0$?
Aria
- 422
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Correct way to announce a theorem
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 $\left( A-\lambda \right) ^{-1}$ is defined
on a…
Djalal Ounadjela
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Correct way to write "to the power" with an indexed parameter
Quick (and simple) question: I'm writing a formula that uses parameters with a subscript, and they are squared. What is the correct way to typeset that? See below.
I fear that in (1) the $^2$ might be seen as an additional characteristic and not as…
SgtDroelf
- 109
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Writing: A term is "absent in" or "absent from" an equation?
Notably, a term x is absent in/from Eq. (4).
After consulting Gartner and online common use, I remain confused about how to decide which the correct preposition to use should be?
For my colleague, it was self-evident that it should be "in," but…
Zlatko-Minev
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Interesting mathematical topics to discuss in the essay
I need to write an essay about some interesting math problem. Does anyone have any idea which problem, theorem, questions I can use?
I thought about discussing "The history of number zero" or "Euclidean vector", something like that.
Any ideas?…
Haus
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Referring to a mathematical element: to drop or not to drop the "the"
As a non-native English speaker, this question about style comes back to me every time I'm writing a formal text.
Given a certain mathematical element, such as a matrix detoned by M. Which is the more correct way to refer to it:
"Note that matrix M…
Sofia
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How to write concise mathematical answer
I have a question which is: $71\sinh(x)+29\cosh(x)=5$ where $x\in R$
At degree level how would I make this as mathematically concise and accurate as possible? Or is this…
james15c
- 473
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Best way to cite well known theorems from a specific source
I am writing up a paper and I use some very well known theorems, such as the Chinese remainder theorem and quadratic reciprocity, and want to state them so that the document is as self contained as possible. Consequently, I need to provide a…
Oiler
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Is it necessary to show limits of summation?
Here is a well-known formula you should recognize from Wikipedia's page on entropy.
$$H(X) = -\sum_{i=1}^n {\mathrm{P}(x_i) \log_b \mathrm{P}(x_i)}$$
The article makes these definitions:
$H$ is entropy
$X$ is your discrete random variable
$P$ is…
William Entriken
- 404
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Summation of 2D-array with constraints
Say I have the following 2D-array of money. (Imagine a id or number representation of types of money).
$money[TYPE][DAY]$
And I want to sum total amount of money for all types of money in day 0. How can this be represented using math?
Im a bit…
chriskvik
- 115
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What is the formal way to denote a fraction of a fraction?
I need to write a paper and it's not clear which is correct: $\frac{x/y}{z}$ or $\frac{\frac{x}{y}}{z}$, or possibly some other alternative.
Jack Pan
- 1,704
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line breaking for group actions in latex
When the group $G$ acts on a manifold $M$, we typically use expressions as
$M$ is a $G$-manifold,
or
$G$-action on $M$.
If we write those sentences in latex, is it recommended to put $G$ and the latter word together? For instance, if a line ends…
Hwang
- 664
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Comma placement inline math
In the following sentence
If all $f(x_j), j=1,\dots,N$ are positive, then ...
Do you think there should be a comma after the $N$? I always considered the math as a single unit and read the sentence as
If all [MATH] are positive, then…
Bananach
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