Various aspects of writing mathematics such as style, notation, grammar, frequently used phrases and common mistakes.
Questions tagged [article-writing]
453 questions
1
vote
1 answer
How to interpret $\Delta t^2$?
In a formula such as,
$$x = x_0 + v_0 \Delta t + \frac{1}{2}a_0 \Delta t^2$$
should $\Delta t^2$ be understood as “the difference of the squares,” or “the square of the difference”?
(I suggest “the difference of the squares,” and “the square of the…
blackened
- 1,115
1
vote
1 answer
When is it appropriate to use \rightarrow or \leftrightarrow
When writing papers on maths, when is it appropriate to use \rightarrow or \leftrightarrow, and when should one refrain from using them. For example, would this
be appropriate use of \leftrightarrow.
EDIT:
What about this
Credit to Servaes,…
redelectrons
- 363
1
vote
3 answers
How to write in mathematical symbols the expression "range over"
My question is really simple, how can I write symbolically this phrase:
$x=\sum a_mx^m$ where $m$ range over
$\{1,\ldots,g\}\setminus\{t_1,\ldots,t_u\}$
Being more specific, I would like to know how to write with mathematical symbols this part:…
user42912
- 23,582
0
votes
1 answer
Points 17 and 18 of Section 1 in Knuth's mathematical writing
I have two questions about Point 17 and 18 of Section 1 in Knuth's math. writing http://tex.loria.fr/typographie/mathwriting.pdf
In Point 17, he says "Sentences should be readable from left to right without ambiguity" and, without good examples, he…
Yes
- 20,719
0
votes
3 answers
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 might expect, this is proved by showing that if $a_k$…
Max
- 386
0
votes
2 answers
Is it incorrect to use ellipses when writing an irrational number's approximate value with a $\approx$?
For example, is it incorrect to write that Euler's number is
$$
e \approx 2.718\dots
$$
or is it more proper to write
$$
e \approx 2.718
$$
or, maybe I should just write
$$
e = 2.718\dots
$$
Kalcifer
- 558
0
votes
0 answers
Is it necessary to add brackets behind $\arg\max$?
If an expression consists of more than one term, e.g., $x^2 + x$, is it necessary to add brackets to it when it is following an $\arg\max$ notation like $\arg\max(x^2 + x)$? I found that, in some papers, they do not use brackets under this kind of…
Haozheng Wang
- 11
- 1
0
votes
0 answers
How to express " without loss of generality" appropriately?
In my article, I would like to write the following sentence:
There exisits a vertex in $H$, without loss of generality, let it be
$v$, such that $H-v$ is connected.
I think the sentence above is incorrect as two sentences connected by a comma. So…
licheng
- 2,266
0
votes
0 answers
How to cite when using an idea from another author?
Firstly: Please help me find a proper tag for this question. I explicitly didn't post it on academia stack exchange because it has no latex support and to get answers from more people that might write mathematical/physical articles, theses etc.…
manuel459
- 247
0
votes
0 answers
Can “equality” be used in the plural form？
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. The "inequality" has a plural form by "inequalities". I would like to ask whether "equality" has plural form "equalities".
In my…
licheng
- 2,266
0
votes
0 answers
"With the constant possibly changing"
Good evening,
I have a small question: I am currently writing my master's thesis in mathematics, and I have a lot of equations full of estimates like $\|\cdots\|_1 \leq C \|\cdots\|_2$ where some constants get involved, which are ultimately…
Nuke_Gunray
- 2,816
0
votes
0 answers
Complex plane deprived from or deprived of closed disk?
Which of the following phrases are correct?
"Complex plane deprived of closed disk"
or
"Complex plane deprived from closed disk"
L.L
- 237
0
votes
1 answer
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"?
L.L
- 237
0
votes
0 answers
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 was numbered. Since it should be clear to the…
Frank
- 31
0
votes
1 answer
Set definition problem
I want to write in a Proposition:
"There exists $x_1$ and $x_2\geq x_1$ so that
(a) If $x\in [0,x_1)$, then $A>B$.
(b) If $x\in [x_1,x_2)$, then $A\leq B$.
(c) If $x\in [x_2,\infty)$, then $A>B$."
The problem is that each of these sets can be empty…
Paul
- 45