These self-study worksheets, for use in a web browser, are part of the
**LaTeX formatting documentation and training materials**
created for producers of public-domain mathematical ebooks (such as at
**Distributed Proofreaders**,
a.k.a. DP). You may work with them online or
**download**
them to your own computer for offline use.

Each worksheet presents you with the scan of a page from a math book and proofread text, similar to output from the DP proofing rounds, just as if you were working in the F1 round at DP. At any time while working you may view:

- The page scan and your (editable) current work. Initially, your current work is the proofread text from the DP proofing rounds.
- The page scan and (non-editable) formatted text, i.e., the “answer key” to the worksheet.
- A color-coded diff between your current work and the answer key, i.e., the “corrections” to your current work.

**Any changes you make to your current work will be saved until you
visit another worksheet or close your browser.** You may look at the
answer or “check your work” incrementally as many times as
you like, so long as you do not open a new worksheet in the same
browser tab.

Three **navigation links** are visible near the upper left-hand
corner of each worksheet. The navigation links are black triangles in
rectangular frames. Each link takes you to a new page, and **erases
any changes you have made to the proofread text**.

- takes you to the preceding worksheet.
- takes you to the next worksheet. The worksheets are linked circularly, i.e., the first worksheet “follows” the last worksheet.
- returns you to this index page.

Two **action buttons** are visible near the upper right-hand corner
of each worksheet. Recall that each worksheet has three possible
“views”: your current work, the correctly formatted text
(answer key), and the diff between your current work and the answer
(the corrections). In each view, the two buttons will take you to the
**other two views**. These buttons change their functions according
to what you are currently viewing, but if you are viewing your current
work, clicking either button twice returns you to your current work.

**Not all diffs are errors.** Do watch for missed markup including
“essential” ties, and for proper, semantic coding of
theorems, definitions, exercises, chapters, and other sectional units.
(Ties such as `pg.~42`

and `Vol.~V`

are
essential, while `page~42`

, `Volume~V`

, or
`$a$~and~$b$`

are not. The answer keys contain only
essential ties.)

Don't worry about differences in the source code layout of displayed mathematics that don't affect the typographical output. (The volunteer who created the answer keys generally coded in order to make the result easy to read mathematically.)

Small text (the `Remark`

environment) and italicized
passages (the `Thm`

environment) should be noted and coded
semantically. Use an ordinary `itemize`

environment and
`\item`

commands for numbered exercises. Supply the
exercise number as an optional argument, e.g.,
`\item[42.]`

; do not rely on LaTeX's auto-numbering.

Use an `array`

environment and explicit braces to handle
matrices; this gives the post-processor more flexibility to align the
matrix extries than LaTeX's `matrix`

environments.

Latin-1 characters in the text, including accented letters and the
symbols
`§`

, `°`

, `±`

, `·`

,
`×`

, and `÷`

, should be retained; **do not
code these using LaTeX macros**.

Where possible, pages should be coded using the preamble interface below. (Note: This code merely describes the macro call syntax; it is not working preamble code.)

\Chapter{}{} % e.g. \Chapter{I.}{Introduction.} \Section{} % \Section{Preliminary Theorems.} \Subsection{}% \Subsection{Notes.} \Par{} % \Par{1. Rational numbers.} (Boldface, run-in heading) % Semantic units with (possibly numbered) run-in headings \begin{Theorem}...\end{Theorem} \begin{Theorem}[42.]...\end{Theorem} % Similarly for Corollary, Definition, Lemma \Proof % Start of proof % Semantic units signified by a change of typeface \begin{Thm} ... \end{Thm} % Italicized assertion (possibly mid-paragraph) \begin{Remark} ... \end{Remark} % Smaller text of a remark \begin{Exercises} ... \end{Exercises} % Numbered lists of exercises \First{} % Small-capped first word of chapter \Ie, \Eg, \ie, \eg % Latin abbreviations \dd % Partial derivative symbol \Tag{(42')} % Equation number \Eq{(96)} % Reference to equation number \DPnote{** note} \DPtypo{txet}{text}