--- For the sake of Emacs users (Emacs is an editor) please leave blank space (space(s), tab, or newline) at the beginning of every segment of text (paragraph, equation, figure, latex command, etc.) that should not be merged with the preceding segment when "filling". Since this sounds mysterious, let's give an example. After some typing and editing, a passage may look like the following Nel mezzo del cammin di nostra vita mi ritrovai in una selva oscura che la diritta via era smarrita e quanto a dir qual'era e` cosa dura esta selva selvaggia ed aspra e forte che nel pensier rinnova la paura \begin{equation} x^2+y^2=z^2. \end{equation} In Emacs, there is a command to automatically "fill" lines, i.e., retype the text so as to make the lines as long as possible. By default, this command acts separately on segments of text separated by leading blank space. After filling (with 60-character lines), the above text will look like Nel mezzo del cammin di nostra vita mi ritrovai in una selva oscura che la diritta via era smarrita e quanto a dir qual'era e` cosa dura esta selva selvaggia ed aspra e forte che nel pensier rinnova la paura \begin{equation} x^2+y^2=z^2. \end{equation} The paragraph has been filled, by the equation has remain anchored to the left margin because of the leading blank space on \begin, x^2, and \end. However, if we didn't leave space before \begin{equation} etc, as here Nel mezzo del cammin di nostra vita mi ritrovai in una selva oscura che la diritta via era smarrita e quanto a dir qual'era e` cosa dura esta selva selvaggia ed aspra e forte che nel pensier rinnova la paura \begin{equation} x^2+y^2=z^2. \end{equation} after filling it would look like Nel mezzo del cammin di nostra vita mi ritrovai in una selva oscura che la diritta via era smarrita e quanto a dir qual'era e` cosa dura esta selva selvaggia ed aspra e forte che nel pensier rinnova la paura \begin{equation} x^2+y^2=z^2. \end{equation} with the equation mashed into the paragraph instead of anchored to the left margin. --- Double quotes should be opened by `` (this is two typed characters), not by ", and closed by '' (not by ") --- Use - for hyphen (e.g., two-dimensional), and -- for range (e.g., 1967--69, or \cite{abc}--\cite{xyz}. --- Use {\em ...} (or, in Latex2e, also \emph{...}) for emphasis, not \sl or \it. --- In the bibliography, use \sl for journal and book titles, not \em. The reason is that \em means "typeset in special font different from the surrounding"; typically, typeset in \sl (slanted) if the surrounding is \rm, and in \rm if the surrounding is already emphasized. Instead, a journal title should be in slanted font---no ifs or buts. --- In the bibliography, the preferred way to enter journal title volume number, date, and page range is {\sl J. Appl. Math. \bf 43} (1996), 324--329. Note only one set of braces and only one comma. --- A citation must be attached to the word to which it refer, unless it constitutes a syntactical word by itself. Examples: in the words of several American presidents\cite{lincoln,jefferson}. but I found that passage in \cite{washington}. These examples also illustrate that (a) \cite should come BEFORE (not after) a punctuation mark, and (b) multiple items should be bunched in a SINGLE cite, leading to [34,12] instead of [34], [12]. --- Words in title should not be capitalized except for proper names. Likewise for section titles. --- for proofs, use the proof environement and the accompnaying Halmos symbol \qed : \newcommand{\qed}{\vrule height1.2ex width1ex depth.1ex} \newenvironment{proof}{\par\noindent{\sc Proof}\quad}{\qed\par\smallskip} --- for theorems, lemmas, etc, use standard Latex fare --- English word subscripts should be in \rm, not in math italic