Q1: If I want to write in a mathematical article, the following sentence:
Consider N real numbers $x_i$...
Q2: Is it better practice to write "
$N$" or simply "
N"? Similarly, if one is writing:
Let $M$ be a 3-dimensional manifold.
Do I write "
$3$-dimensional", or "
Q3: when does one use
\cdots, and when does one use
\ldots? For instance, if I were to write "
x_1,...,x_n", is it better to write "
$x_1,\ldots,x_n$" or "
These are 3 questions that always confused me. I would appreciate someone's help. Is there an online document that may tackle similar issues perhaps (including how to break long words)? Could someone please provide a link to that document?