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3

According to the description on page 170 of the TeXbook, automatic glue around math atoms can be “conditional”, that is, inserted only in display and text styles: Here 0, 1, 2, and 3 stand for no space, thin space, medium space, and thick space, respectively; the table entry is parenthesized if the space is to be inserted only in display and text styles, ...

1

It looks like you're using BibTeX. If that's the case, you could get superscript-type citation callouts by loading the natbib package with the option super: \usepackage[super]{natbib} Addendum: To create a customized version of apalike.bst that does not perform alphabetical sorting of the bib entries, you could follow the following steps: My the file ...

2

You can use biblatex with these options (check you have the biblatex-apa: \usepackage[style=apa, sorting=none,autocite=supercript]{biblatex} Numeric is the default bibliography and citation style of biblatex. You can specify the backend: bibtex, bibtex8 or biber. The default is biber, and some features of boblatex can be accessed only with it; moreover, ...

4

' is made active in math mode both in plain TeX and LaTeX. It puts \prime at the superscript position: ^{\prime}. However, consecutive ' are quite common and would raise a double superscript error. Therefore the macro behind ' checks the next token, whether it is again a '. If yes, the following ' is added to the superscript. The number of consecutive ' is ...

0

Because ' acts as superscripted prime, i.e. you can write, e.g., $f'$ instead of $f^\prime$.

7

$B^{\mathit{high}}$ or $B^{\mathrm{high}}$ I'd probably use the latter. As you noted it's possible to omit the {} around \mathit{high} but it's not a good practice it would fail with most commands, it just works with \mathit because of the slightly bizarre way that ^ works. the \text... commands will also use script size fonts if amsmath is loaded ...

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