LATEX: Structured documents for TEX

unofficial LATEX reference manual

May 2013

http://home.gna.org/latexrefman
This document is an unofficial reference manual for LATEX, a document preparation system,
version of May 2013.
This manual was originally translated from LATEX.HLP v1.0a in the VMS Help Library.
The pre-translation version was written by George D. Greenwade of Sam Houston State
University. The LATEX 2.09 version was written by Stephen Gilmore. The LATEX2e version
was adapted from this by Torsten Martinsen. Karl Berry made further updates and ad-
ditions, and gratefully acknowledges using Hypertext Help with LATEX, by Sheldon Green,
and the LATEX Command Summary (for LATEX 2.09) by L. Botway and C. Biemesderfer
(published by the TEX Users Group as TEXniques number 10), as reference material (no
text was directly copied).
Copyright c 2007, 2008, 2009, 2010, 2011, 2012, 2013 Karl Berry.
Copyright c 1988, 1994, 2007 Stephen Gilmore.
Copyright c 1994, 1995, 1996 Torsten Martinsen.
Permission is granted to make and distribute verbatim copies of this manual provided the
copyright notice and this permission notice are preserved on all copies.
Permission is granted to copy and distribute modified versions of this manual under the con-
ditions for verbatim copying, provided that the entire resulting derived work is distributed
under the terms of a permission notice identical to this one.
Permission is granted to copy and distribute translations of this manual into another lan-
guage, under the above conditions for modified versions.
 i

Short Contents
LATEX2e . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1 About this document . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2 Overview of LATEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3 Starting & ending . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
4 Document classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
5 Typefaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
6 Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
7 Sectioning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
8 Cross references . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
9 Environments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
10 Line breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
11 Page breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
12 Footnotes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
13 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
14 Counters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
15 Lengths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
16 Making paragraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
17 Math formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
18 Modes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
19 Page styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
20 Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
21 Boxes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
22 Special insertions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
23 Splitting the input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
24 Front/back matter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
25 Letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
26 Terminal input/output . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
27 Command line . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
A Document templates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
Concept Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
Command Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
 ii

Table of Contents

LATEX2e . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

1 About this document . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

2 Overview of LATEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

3 Starting & ending . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

4 Document classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.1 Document class options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

5 Typefaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
5.1 Font styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
5.2 Font sizes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
5.3 Low-level font commands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

6 Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
6.1 \onecolumn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
6.2 \twocolumn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
6.3 \flushbottom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
6.4 \raggedbottom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
6.5 Page layout parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

7 Sectioning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

8 Cross references . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
8.1 \label . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
8.2 \pageref{key} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
8.3 \ref{key} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

9 Environments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
9.1 abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
9.2 array . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
9.3 center . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
9.3.1 \centering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
9.4 description. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
9.5 displaymath. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
9.6 document . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
9.7 enumerate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
 iii

9.8 eqnarray . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
9.9 equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
9.10 figure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
9.11 flushleft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
9.11.1 \raggedright . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
9.12 flushright . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
9.12.1 \raggedleft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
9.13 itemize . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
9.14 letter environment: writing letters . . . . . . . . . . . . . . . . . . . . . . . . . . 23
9.15 list . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
9.16 math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
9.17 minipage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
9.18 picture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
9.18.1 \circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
9.18.2 \makebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
9.18.3 \framebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
9.18.4 \dashbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
9.18.5 \frame . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
9.18.6 \line . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
9.18.7 \linethickness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
9.18.8 \thicklines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
9.18.9 \thinlines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
9.18.10 \multiput . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
9.18.11 \oval. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
9.18.12 \put . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
9.18.13 \shortstack . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
9.18.14 \vector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
9.19 quotation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
9.20 quote. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
9.21 tabbing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
9.22 table. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
9.23 tabular . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
9.23.1 \multicolumn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
9.23.2 \cline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
9.23.3 \hline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
9.23.4 \vline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
9.24 thebibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
9.24.1 \bibitem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
9.24.2 \cite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
9.24.3 \nocite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
9.24.4 Using BibTEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
9.25 theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
9.26 titlepage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
9.27 verbatim . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
9.27.1 \verb . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
9.28 verse. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
 iv

10 Line breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
10.1 \\[*][morespace] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
10.2 \obeycr & \restorecr . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
10.3 \newline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
10.4 \- (discretionary hyphen) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
10.5 \fussy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
10.6 \sloppy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
10.7 \hyphenation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
10.8 \linebreak & \nolinebreak . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

11 Page breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
11.1 \cleardoublepage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
11.2 \clearpage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
11.3 \newpage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
11.4 \enlargethispage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
11.5 \pagebreak & \nopagebreak . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

12 Footnotes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
12.1 \footnote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
12.2 \footnotemark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
12.3 \footnotetext . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
12.4 Symbolic footnotes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
12.5 Footnote parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40

13 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
13.1 \newcommand & \renewcommand . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
13.2 \newcounter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
13.3 \newlength . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
13.4 \newsavebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
13.5 \newenvironment & \renewenvironment . . . . . . . . . . . . . . . . . . . . 42
13.6 \newtheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
13.7 \newfont . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
13.8 \protect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43

14 Counters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
14.1 \alph \Alph \arabic \roman \Roman \fnsymbol: Printing
counters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
14.2 \usecounter{counter} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
14.3 \value{counter} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
14.4 \setcounter{counter}{value}. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
14.5 \addtocounter{counter}{value} . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
14.6 \refstepcounter{counter} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
14.7 \stepcounter{counter} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
14.8 \day \month \year: Predefined counters . . . . . . . . . . . . . . . . . . . . . 45
 v

15 Lengths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
15.1 \setlength{\len}{value} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
15.2 \addtolength{\len}{amount} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
15.3 \settodepth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
15.4 \settoheight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
15.5 \settowidth{\len}{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
15.6 Predefined lengths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

16 Making paragraphs . . . . . . . . . . . . . . . . . . . . . . . . . . 47
16.1 \indent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
16.2 \noindent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
16.3 \parskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
16.4 Marginal notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47

17 Math formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
17.1 Subscripts & superscripts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
17.2 Math symbols. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
17.3 Math functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
17.4 Math accents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
17.5 Spacing in math mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
17.6 Math miscellany . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59

18 Modes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

19 Page styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
19.1 \maketitle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
19.2 \pagenumbering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
19.3 \pagestyle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
19.4 \thispagestyle{style} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

20 Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
20.1 \hspace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
20.2 \hfill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
20.3 \SPACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
20.4 \@ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
20.5 \thinspace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
20.6 \/ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
20.7 \hrulefill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
20.8 \dotfill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
20.9 \addvspace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
20.10 \bigskip \medskip \smallskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
20.11 \vfill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
20.12 \vspace[*]{length} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
 vi

21 Boxes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
21.1 \mbox{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
21.2 \fbox and \framebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
21.3 lrbox. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
21.4 \makebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
21.5 \parbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
21.6 \raisebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
21.7 \savebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
21.8 \sbox{\boxcmd}{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
21.9 \usebox{\boxcmd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

22 Special insertions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
22.1 Reserved characters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
22.2 Text symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
22.3 Accents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
22.4 Non-English characters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
22.5 \rule. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
22.6 \today . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75

23 Splitting the input . . . . . . . . . . . . . . . . . . . . . . . . . . . 76

23.1 \include . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
23.2 \includeonly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
23.3 \input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76

24 Front/back matter . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
24.1 Tables of contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
24.1.1 \addcontentsline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
24.1.2 \addtocontents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
24.2 Glossaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
24.3 Indexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78

25 Letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
25.1 \address{return-address} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
25.2 \cc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
25.3 \closing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
25.4 \encl. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.5 \location . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.6 \makelabels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.7 \name. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.8 \opening{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.9 \ps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.10 \signature{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.11 \startbreaks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.12 \stopbreaks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
25.13 \telephone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
 vii

26 Terminal input/output . . . . . . . . . . . . . . . . . . . . . . 82
26.1 \typein[cmd]{msg} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
26.2 \typeout{msg} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82

27 Command line . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83

Appendix A Document templates . . . . . . . . . . . . . 84

A.1 book template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
A.2 beamer template. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
A.3 tugboat template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85

Concept Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

Command Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
LATEX2e 1

LATEX2e
This document is an unofficial reference manual for LATEX, a document preparation system,
version as of May 2013. It is intended to cover LATEX2e, which has been the standard version
of LATEX for many years.
Chapter 1: About this document 2

1 About this document

The LATEX document preparation system is implemented as a macro package for Donald E.
Knuth’s TEX typesetting program. LATEX was originally created by Leslie Lamport; it
is now maintained by a group of volunteers (http://latex-project.org). The official
documentation written by the LATEX project is available from their web site.
The present document is completely unofficial and has not been reviewed by the LATEX
maintainers. Do not send bug reports or anything else about this document to them.
Instead, please send all comments to latexrefman-discuss@gna.org.
The home page for this document is http://home.gna.org/latexrefman. That page
has links to the current output in various formats, sources, mailing lists, and other infras-
tructure.
Of course, there are many, many other sources of information about LATEX. Here are a
few:
http://www.ctan.org/pkg/latex-doc-ptr
Two pages of recommended references to LATEX documentation.
http://www.ctan.org/pkg/first-latex-doc
Writing your first document, with a bit of both text and math.
http://www.ctan.org/pkg/usrguide
The guide for document authors maintained as part of LATEX; there are several
others.
http://tug.org/begin.html
Introduction to the TEX system, including LATEX.
Chapter 2: Overview of LATEX 3

2 Overview of LATEX
What is LATEX?
LATEX typesets a file of text using the TEX program and the LATEX “macro package” for
TEX. That is, it processes an input file containing the text of a document with interspersed
commands that describe how the text should be formatted. LATEX files are plain text that
can be written in any reasonable editor. It produces at least three files as output:
1. The main output file, which is one of:
.dvi If invoked as latex, a “Device Independent” (.dvi) file is produced. This
contains commands that can be translated into commands for virtually
any output device. You can view such .dvi output of LATEX by using a
program such as xdvi (display directly), dvips (convert to PostScript), or
dvipdfmx (convert to PDF).
.pdf If invoked as pdflatex, a “Portable Document Format” (.pdf) file. Typi-
cally, this is a self-contained file, with all fonts and images embedded. This
can be very useful, but it does make the output much larger than the .dvi
produced from the same document.
If invoked as lualatex, a .pdf file is created using the LuaTEX engine
(http://luatex.org).
If invoked as xelatex, a .pdf file is created using the XeTEX engine
(http://tug.org/xetex).
Many other less-common variants of LATEX (and TEX) exist, which can produce HTML,
XML, and other things.
2. The “transcript” or .log file that contains summary information and diagnostic mes-
sages for any errors discovered in the input file.
3. An “auxiliary” or .aux file. This is used by LATEX itself, for things such as cross-
references.
An open-ended list of other files might be created. We won’t try to list them all. Xxx
components?
In the LATEX input file, a command name starts with a \, followed by either (a) a string of
letters or (b) a single non-letter. Arguments contained in square brackets, [], are optional
while arguments contained in braces, {}, are required.
LATEX is case sensitive. Enter all commands in lower case unless explicitly directed to
do otherwise.
Chapter 3: Starting & ending 4

3 Starting & ending

A minimal input file looks like the following:
\documentclass{class}
\begin{document}
your text
\end{document}
where the class is a valid document class for LATEX. See Chapter 4 [Document classes],
page 5, for details of the various document classes available locally.
You may include other LATEX commands between the \documentclass and the
\begin{document} commands (this area is called the preamble).
Chapter 4: Document classes 5

4 Document classes
The class of a given document is defined with the command:
\documentclass[options]{class}
The \documentclass command must be the first command in a LATEX source file.
Built-in LATEX document class names are (many other document classes are available as
add-ons; see Chapter 2 [Overview], page 3):
article report book letter slides
Standard options are described below.

4.1 Document class options

You can specify so-called global options or class options to the \documentclass command
by enclosing them in square brackets as usual. To specify more than one option, separate
them with a comma:
\documentclass[option1,option2,...]{class}
Here is the list of the standard class options.
All of the standard classes except slides accept the following options for selecting the
typeface size (default is 10pt):
10pt 11pt 12pt
All of the standard classes accept these options for selecting the paper size (default is
letterpaper):
a4paper a5paper b5paper executivepaper legalpaper letterpaper
Miscellaneous other options:
draft, final
mark/do not mark overfull boxes with a big black box; default is final.
fleqn Put displayed formulas flush left; default is centered.
landscape
Selects landscape format; default is portrait.
leqno Put equation numbers on the left side of equations; default is the right side.
openbib Use “open” bibliography format.
titlepage, notitlepage
Specifies whether the title page is separate; default depends on the class.
These options are not available with the slides class:
onecolumn
twocolumn
Typeset in one or two columns; default is onecolumn.
oneside
twoside Selects one- or two-sided layout; default is oneside, except for the book class.
The \evensidemargin (\oddsidemargin parameter determines the distance
on even (odd) numbered pages between the left side of the page and the
Chapter 4: Document classes 6

text’s left margin. The defaults vary with the paper size and whether one-
or two-side layout is selected. For one-sided printing the text is centered, for
two-sided, \oddsidemargin is 40% of the difference between \paperwidth and
\textwidth, with \evensidemargin the remainder.
openright
openany Determines if a chapter should start on a right-hand page; default is openright
for book.
The slides class offers the option clock for printing the time at the bottom of each
note.
Additional packages are loaded like this:
\usepackage[options]{pkg}
To specify more than one pkg, you can separate them with a comma, or use multiple
\usepackage commands.
Any options given in the \documentclass command that are unknown by the selected
document class are passed on to the packages loaded with \usepackage.
Chapter 5: Typefaces 7

5 Typefaces
Two important aspects of selecting a font are specifying a size and a style. The LATEX
commands for doing this are described here.

5.1 Font styles

The following type style commands are supported by LATEX.
This first group of commands is typically used like \textit{italic text}. The cor-
responding command in parenthesis is the “declaration form”, which takes no arguments.
The scope of the declaration form lasts until the next type style command or the end of the
current group.
The declaration forms are cumulative; i.e., you can say either \sffamily\bfseries or
\bfseries\sffamily to get bold sans serif.
You can alternatively use an environment form of the declarations; for instance,
\begin{ttfamily}...\end{ttfamily}.
These commands automatically supply an italic correction if the
\textrm (\rmfamily)
Roman.
\textit (\itshape)
Italics.
\emph Emphasis (switches between \textit and \textrm).
\textmd (\mdseries)
Medium weight (default).
\textbf (\bfseries)
Boldface.
\textup (\upshape)
Upright (default). The opposite of slanted.
\textsl (\slshape)
Slanted.
\textsf (\sffamily)
Sans serif.
\textsc (\scshape)
Small caps.
\texttt (\ttfamily)
Typewriter.
\textnormal (\normalfont)
Main document font.
\mathrm Roman, for use in math mode.
\mathbf Boldface, for use in math mode.
Chapter 5: Typefaces 8

\mathsf Sans serif, for use in math mode.

\mathtt Typewriter, for use in math mode.
\mathit
(\mit) Italics, for use in math mode.
\mathnormal
For use in math mode, e.g. inside another type style declaration.
\mathcal ‘Calligraphic’ letters, for use in math mode.
In addition, the command \mathversion{bold} can be used for switching to bold letters
and symbols in formulas. \mathversion{normal} restores the default.
Finally, the command \oldstylenums{numerals} will typeset so-called “old-style” nu-
merals, which have differing heights and depths (and sometimes widths) from the standard
“lining” numerals. LATEX’s default fonts support this, and will respect \textbf (but not
other styles; there are no italic old-style numerals in Computer Modern). Many other fonts
have old-style numerals also; sometimes the textcomp package must be loaded, and some-
times package options are provided to make them the default. FAQ entry: http://www.
tex.ac.uk/cgi-bin/texfaq2html?label=osf.
LATEX also provides these commands, which unconditionally switch to the given style,
that is, are not cumulative. They are used differently than the above commands, too: {\cmd
...} instead of \cmd{...}. These are two very different things.
\bf Switch to bold face.
\cal Switch to calligraphic letters for math.
\em Emphasis (italics within roman, roman within italics).
\it Italics.
\rm Roman.
\sc Small caps.
\sf Sans serif.
\sl Slanted (oblique).
\tt Typewriter (monospace, fixed-width).

5.2 Font sizes

The following standard type size commands are supported by LATEX. The table shows the
command name and the corresponding actual font size used (in points) with the ‘10pt’,
‘11pt’, and ‘12pt’ document size options, respectively (see Section 4.1 [Document class
options], page 5).

Command 10pt 11pt 12pt

\tiny 5 6 6
\scriptsize 7 8 8
\footnotesize 8 9 10
Chapter 5: Typefaces 9

\small 9 10 10.95
\normalsize (default) 10 10.95 12
\large 12 12 14.4
\Large 14.4 14.4 17.28
\LARGE 17.28 17.28 20.74
\huge 20.74 20.74 24.88
\Huge 24.88 24.88 24.88
The commands as listed here are “declaration forms”. The scope of the declaration form
lasts until the next type style command or the end of the current group. You can also use
the environment form of these commands; for instance, \begin{tiny}...\end{tiny}.

5.3 Low-level font commands

These commands are primarily intended for writers of macros and packages. The commands
listed here are only a subset of the available ones.
\fontencoding{enc}
Select font encoding. Valid encodings include OT1 and T1.
\fontfamily{family}
Select font family. Valid families include:
• cmr for Computer Modern Roman
• cmss for Computer Modern Sans Serif
• cmtt for Computer Modern Typewriter
and numerous others.
\fontseries{series}
Select font series. Valid series include:
• m Medium (normal)
• b Bold
• c Condensed
• bc Bold condensed
• bx Bold extended
and various other combinations.
\fontshape{shape}
Select font shape. Valid shapes are:
• n Upright (normal)
• it Italic
• sl Slanted (oblique)
• sc Small caps
• ui Upright italics
• ol Outline
The two last shapes are not available for most font families.
Chapter 5: Typefaces 10

\fontsize{size}{skip}
Set font size. The first parameter is the font size to switch to and the second
is the line spacing to use; this is stored in a parameter named \baselineskip.
The unit of both parameters defaults to pt. The default \baselineskip for
the Computer Modern typeface is 1.2 times the \fontsize.
The line spacing is also multiplied by the value of the \baselinestretch pa-
rameter when the type size changes; the default is 1. However, the best way
to “double space” a document, if you should be unlucky enough to have to
produce such, is to use the setspace package; see http://www.tex.ac.uk/
cgi-bin/texfaq2html?label=linespace.
\linespread{factor}
Equivalent to \renewcommand{\baselinestretch}{factor}, and therefore
must be followed by \selectfont to have any effect. Best specified in the
preamble, or use the setspace package, as described just above.
The changes made by calling the font commands described above do not come
into effect until \selectfont is called.
\usefont{enc}{family}{series}{shape}
The same as invoking \fontencoding, \fontfamily, \fontseries and
\fontshape with the given parameters, followed by \selectfont.
Chapter 6: Layout 11

6 Layout

Miscellaneous commands for controlling the general layout of the page.

6.1 \onecolumn
The \onecolumn declaration starts a new page and produces single-column output. This is
the default.

6.2 \twocolumn
Synopsis:
\twocolumn[text1col]
The \twocolumn declaration starts a new page and produces two-column output. If
the optional text1col argument is present, it is typeset in one-column mode before the
two-column typesetting starts.
These parameters control typesetting in two-column output:

\columnsep
The distance between columns (35pt by default).

\columnseprule
The width of the rule between columns; the default is 0pt, so there is no rule.

\columnwidth
The width of the current column; this is equal to \textwidth in single-column
text.

These parameters control float behavior in two-column output:

\dbltopfraction
Maximum fraction at the top of a two-column page that may be occupied by
floats. Default ‘.7’, can be usefully redefined to (say) ‘.9’ to avoid going to
float pages so soon.

\dblfloatpagefraction
The minimum fraction of a float page that must be occupied by floats, for a
two-column float page. Default ‘.5’.

\dblfloatsep
Distance between floats at the top or bottom of a two-column float page. De-
fault ‘12pt plus2pt minus2pt’ for ‘10pt’ and ‘11pt’ documents, ‘14pt plus2pt
minus4pt’ for ‘12pt’.

\dbltextfloatsep
Distance between a multi-column float at the top or bottom of a page and the
main text. Default ‘20pt plus2pt minus4pt’.
Chapter 6: Layout 12

6.3 \flushbottom
The \flushbottom declaration makes all text pages the same height, adding extra vertical
space where necessary to fill out the page.
This is the default if twocolumn mode is selected (see Section 4.1 [Document class op-
tions], page 5).

6.4 \raggedbottom
The \raggedbottom declaration makes all pages the natural height of the material on that
page. No rubber lengths will be stretched.

6.5 Page layout parameters

\headheight
Height of the box that contains the running head. Default is ‘30pt’, except in
the book class, where it varies with the type size.
\headsep Vertical distance between the bottom of the header line and the top of the main
text. Default is ‘25pt’, except in the book class, where it varies with the type
size.
\footskip
Distance from the baseline of the last line of text to the baseline of the page
footer. Default is ‘30pt’, except in the book class, where it varies with the type
size.
\linewidth
Width of the current line, decreased for each nested list (see Section 9.15 [list],
page 23). Specifically, it is smaller than \textwidth by the sum of \leftmargin
and \rightmargin (see Section 9.13 [itemize], page 22). The default varies with
the font size, paper width, two-column mode, etc. For an article document
in ‘10pt’, it’s set to ‘345pt’; in two-column mode, that becomes ‘229.5pt’.
\textheight
The normal vertical height of the page body; the default varies with the font
size, document class, etc. For an article or report document in ‘10pt’, it’s
set to ‘43\baselineskip’; for book, it’s ‘41\baselineskip’. For ‘11pt’, it’s
‘38\baselineskip’ and for ‘12pt’, ‘36\baselineskip’.
\textwidth
The full horizontal width of the entire page body; the default varies as usual.
For an article or report document, it’s ‘345pt’ at ‘10pt’, ‘360pt’ at ‘11pt’,
and ‘390pt’ at ‘12pt’. For a book document, it’s ‘4.5in’ at ‘10pt’, and ‘5in’
at ‘11pt’ or ‘12pt’.
In multi-column output, \textwidth remains the width of the entire page body,
while \columnwidth is the width of one column (see Section 6.2 [\twocolumn],
page 11).
In lists (see Section 9.15 [list], page 23), \textwidth remains the width of the
entire page body (and \columnwidth the width of the entire column), while
\linewidth may decrease for nested lists.
Chapter 6: Layout 13

Inside a minipage (see Section 9.17 [minipage], page 24) or \parbox (see
Section 21.5 [\parbox], page 68), all the width-related parameters are set
to the specified width, and revert to their normal values at the end of the
minipage or \parbox.
For completeness: \hsize is the TEX primitive parameter used when text is
broken into lines. It should not be used in normal LATEX documents.
\topmargin
Space between the top of the TEX page (one inch from the top of the paper,
by default) and the top of the header. The default is computed based on
many other parameters: \paperheight − 2in − \headheight − \headsep −
\textheight − \footskip, and then divided by two.
\topskip Minimum distance between the top of the page body and the baseline of the
first line of text. For the standard clases, the default is the same as the font
size, e.g., ‘10pt’ at ‘10pt’.
Chapter 7: Sectioning 14

7 Sectioning
Sectioning commands provide the means to structure your text into units:
\part
\chapter (report and book class only)
\section
\subsection
\subsubsection
\paragraph
\subparagraph
All sectioning commands take the same general form, e.g.,
\chapter[toctitle]{title}
In addition to providing the heading title in the main text, the section title can appear
in two other places:
1. The table of contents.
2. The running head at the top of the page.
You may not want the same text in these places as in the main text. To handle this,
the sectioning commands have an optional argument toctitle that, when given, specifies the
text for these other places.
Also, all sectioning commands have *-forms that print title as usual, but do not include
a number and do not make an entry in the table of contents. For instance:
\section*{Preamble}
The \appendix command changes the way following sectional units are numbered. The
\appendix command itself generates no text and does not affect the numbering of parts.
The normal use of this command is something like
\chapter{A Chapter}
...
\appendix
\chapter{The First Appendix}
The secnumdepth counter controls printing of section numbers. The setting
\setcounter{secnumdepth}{level}
suppresses heading numbers at any depth > level, where chapter is level zero. (See
Section 14.4 [\setcounter], page 45.)
Chapter 8: Cross references 15

8 Cross references
One reason for numbering things like figures and equations is to refer the reader to them,
as in “See Figure 3 for more details.”

8.1 \label
Synopsis:
\label{key}
A \label command appearing in ordinary text assigns to key the number of the current
sectional unit; one appearing inside a numbered environment assigns that number to key.
A key name can consist of any sequence of letters, digits, or punctuation characters.
Upper and lowercase letters are distinguished.
To avoid accidentally creating two labels with the same name, it is common to use labels
consisting of a prefix and a suffix separated by a colon or period. Some conventionally-used
prefixes:
ch for chapters
sec for lower-level sectioning commands
fig for figures
tab for tables
eq for equations
Thus, a label for a figure would look like fig:snark or fig.snark.

8.2 \pageref{key}
Synopsis:
\pageref{key}
The \pageref{key } command produces the page number of the place in the text where
the corresponding \label{key } command appears.

8.3 \ref{key}
Synopsis:
\ref{key}
The \ref command produces the number of the sectional unit, equation, footnote, figure,
. . . , of the corresponding \label command (see Section 8.1 [\label], page 15). It does not
produce any text, such as the word ‘Section’ or ‘Figure’, just the bare number itself.
Chapter 9: Environments 16

9 Environments
LATEX provides many environments for marking off certain text. Each environment begins
and ends in the same manner:
\begin{envname}
...
\end{envname}

9.1 abstract
Synopsis:
\begin{abstract}
...
\end{abstract}
Environment for producing an abstract, possibly of multiple paragraphs.

9.2 array
Synopsis:
\begin{array}{template}
col1 text&col1 text&coln}\\
...
\end{array}
Math arrays are produced with the array environment, normally within an equation
environment (see Section 9.9 [equation], page 19). It has a single mandatory template
argument describing the number of columns and the alignment within them. Each column
col is specified by a single letter that tells how items in that row should be formatted, as
follows:
c centered
l flush left
r flush right
Column entries are separated by &. Column entries may include other LATEX commands.
Each row of the array is terminated with \\.
In the template, the construct @{text} puts text between columns in each row.
Here’s an example:
\begin{equation}
\begin{array}{lrc}
left1 & right1 & centered1 \\
left2 & right2 & centered2 \\
\end{array}
\end{equation}
The \arraycolsep parameter defines half the width of the space separating columns;
the default is ‘5pt’. See Section 9.23 [tabular], page 30, for other parameters which affect
formatting in array environments, namely \arrayrulewidth and \arraystretch.
The array environment can only be used in math mode.
Chapter 9: Environments 17

9.3 center
Synopsis:
\begin{center}
line1 \\
line2 \\
\end{center}
The center environment allows you to create a paragraph consisting of lines that are
centered within the left and right margins on the current page. Each line is terminated
with the string \\.

9.3.1 \centering
The \centering declaration corresponds to the center environment. This declaration can
be used inside an environment such as quote or in a parbox. Thus, the text of a figure or
table can be centered on the page by putting a \centering command at the beginning of
the figure or table environment.
Unlike the center environment, the \centering command does not start a new para-
graph; it simply changes how LATEX formats paragraph units. To affect a paragraph unit’s
format, the scope of the declaration must contain the blank line or \end command (of an
environment such as quote) that ends the paragraph unit.
Here’s an example:
\begin{quote}
\centering
first line \\
second line \\
\end{quote}

9.4 description
Synopsis:
\begin{description}
\item [label1] item1
\item [label2] item2
...
\end{description}
The description environment is used to make labelled lists. Each label is typeset in
bold, flush right. The item text may contain multiple paragraphs.
Another variation: since the bold style is applied to the labels, if you typeset a la-
bel in typewriter using \texttt, you’ll get bold typewriter: \item[\texttt{bold and
typewriter}]. This may be too bold, among other issues. To get just typewriter, use
\tt, which resets all other style variations: \item[{\tt plain typewriter}].
For details about list spacing, see Section 9.13 [itemize], page 22.

9.5 displaymath
Synopsis:
Chapter 9: Environments 18

\begin{displaymath}
math
\end{displaymath}
or
\[math\]
The displaymath environment (\[...\] is a synonym) typesets the math text on its
own line, centered by default. The global fleqn option makes equations flush left; see
Section 4.1 [Document class options], page 5.
No equation number is added to displaymath text; to get an equation number, use the
equation environment (see Section 9.9 [equation], page 19).

9.6 document
The document environment encloses the body of a document. It is required in every LATEX
document. See Chapter 3 [Starting & ending], page 4.

9.7 enumerate
Synopsis:
\begin{enumerate}
\item item1
\item item2
...
\end{enumerate}
The enumerate environment produces a numbered list. Enumerations can be nested
within one another, up to four levels deep. They can also be nested within other
paragraph-making environments, such as itemize (see Section 9.13 [itemize], page 22) and
description (see Section 9.4 [description], page 17).
Each item of an enumerated list begins with an \item command. There must be at least
one \item command within the environment.
By default, the numbering at each level is done like this:
1. 1., 2., . . .
2. (a), (b), . . .
3. i., ii., . . .
4. A., B., . . .
The enumerate environment uses the counters \enumi through \enumiv counters (see
Chapter 14 [Counters], page 44). If the optional argument to \item is given, the counter is
not incremented for that item.
The enumerate environment uses the commands \labelenumi through \labelenumiv
to produce the default label. So, you can use \renewcommand to change the labels (see
Section 13.1 [\newcommand & \renewcommand], page 41). For instance, to have the first
level use uppercase letters:
\renewcommand{\labelenumi}{\Alph{enumi}}
Chapter 9: Environments 19

9.8 eqnarray
First, a caveat: the eqnarray environment has some infelicities which cannot be overcome;
the article “Avoid eqnarray!” by Lars Madsen describes them in detail (http://tug.org/
TUGboat/tb33-1/tb103madsen.pdf). The bottom line is that it is better to use the align
environment (and others) from the amsmath package.
Nevertheless, here is a description of eqnarray:
\begin{eqnarray} (or eqnarray*)
formula1 \\
formula2 \\
...
\end{eqnarray}
The eqnarray environment is used to display a sequence of equations or inequalities. It
is very much like a three-column array environment, with consecutive rows separated by
\\ and consecutive items within a row separated by an &.
\\* can also be used to separate equations, with its normal meaning of not allowing a
page break at that line.
An equation number is placed on every line unless that line has a \nonumber command.
Alternatively, The *-form of the environment (\begin{eqnarray*} ... \end{eqnarray*})
will omit equation numbering entirely, while otherwise being the same as eqnarray.
The command \lefteqn is used for splitting long formulas across lines. It typesets its
argument in display style flush left in a box of zero width.

9.9 equation
Synopsis:
\begin{equation}
math
\end{equation}
The equation environment starts a displaymath environment (see Section 9.5 [display-
math], page 17), e.g., centering the math text on the page, and also places an equation
number in the right margin.

9.10 figure
\begin{figure[*]}[placement]
figbody
\label{label}
\caption[loftitle]{text}
\end{figure}
Figures are objects that are not part of the normal text, and are instead “floated” to a
convenient place, such as the top of a page. Figures will not be split between two pages.
When typesetting in double-columns, the starred form produces a full-width figure
(across both columns).
The optional argument [placement] determines where LATEX will try to place your
figure. There are four places where LATEX can possibly put a float:
Chapter 9: Environments 20

t (Top)—at the top of a text page.

b (Bottom)—at the bottom of a text page. However, b is not allowed for full-
width floats (figure*) with double-column output. To ameliorate this, use the
stfloats or dblfloatfix package, but see the discussion at caveats in the
FAQ: http://www.tex.ac.uk/cgi-bin/texfaq2html?label=2colfloat.
h (Here)—at the position in the text where the figure environment appears. How-
ever, this is not allowed by itself; t is automatically added.
To absolutely force a figure to appear “here”, you can \usepackage{float}
and use the H specifier which it defines. For further discussion, see the FAQ
entry at http://www.tex.ac.uk/cgi-bin/texfaq2html?label=figurehere.
p (Page of floats)—on a separate float page, which is a page containing no text,
only floats.
! Used in addition to one of the above; for this float only, LATEX ignores the re-
strictions on both the number of floats that can appear and the relative amounts
of float and non-float text on the page. The ! specifier does not mean “put the
float here”; see above.
The standard report and article classes use the default placement tbp.
The body of the figure is made up of whatever text, LATEX commands, etc. you wish.
The \caption command specifies caption text for the figure. The caption is numbered
by default. If loftitle is present, it is used in the list of figures instead of text (see Section 24.1
[Tables of contents], page 77).
Parameters relating to fractions of pages occupied by float and non-float text:
The maximum fraction of the page allowed to be occuped by floats at the
bottom; default ‘.3’.
\floatpagefraction
The minimum fraction of a float page that must be occupied by floats; default
‘.5’.
\textfraction
Minimum fraction of a page that must be text; if floats take up too much space
to preserve this much text, floats will be moved to a different page. The default
is ‘.2’.
\topfraction
Maximum fraction at the top of a page that may be occupied before floats;
default ‘.7’.
Parameters relating to vertical space around floats:
\floatsep
Space between floats at the top or bottom of a page; default ‘12pt plus2pt
minus2pt’.
\intextsep
Space above and below a float in the middle of the main text; default ‘12pt
plus2pt minus2pt’ for ‘10pt’ and ‘11pt’ styles, ‘14pt plus4pt minus4pt’ for
‘12pt’.
Chapter 9: Environments 21

\textfloatsep
Space between the last (first) float at the top (bottom) of a page; default ‘20pt
plus2pt minus4pt’.
Parameters relating to the number of floats on a page:
\bottomnumber
Maximum number of floats that can appear at the bottom of a text page; default
1.
\topnumber
Maximum number of floats that can appear at the top of a text page; default
2.
\totalnumber
Maximum number of floats that can appear on a text page; default 3.
The principal TEX FAQ entry relating to floats: http://www.tex.ac.uk/cgi-bin/
texfaq2html?label=floats.

9.11 flushleft
\begin{flushleft}
line1 \\
line2 \\
...
\end{flushleft}
The flushleft environment allows you to create a paragraph consisting of lines that
are flush to the left-hand margin and ragged right Each line must be terminated with the
string \\.

9.11.1 \raggedright
The \raggedright declaration corresponds to the flushleft environment. This declara-
tion can be used inside an environment such as quote or in a parbox.
Unlike the flushleft environment, the \raggedright command does not start a new
paragraph; it only changes how LATEX formats paragraph units. To affect a paragraph unit’s
format, the scope of the declaration must contain the blank line or \end command that ends
the paragraph unit.

9.12 flushright
\begin{flushright}
line1 \\
line2 \\
...
\end{flushright}
The flushright environment allows you to create a paragraph consisting of lines that
are flush to the right-hand margin and ragged left. Each line must be terminated with the
string \\.
Chapter 9: Environments 22

9.12.1 \raggedleft
The \raggedleft declaration corresponds to the flushright environment. This declara-
tion can be used inside an environment such as quote or in a parbox.
Unlike the flushright environment, the \raggedleft command does not start a new
paragraph; it only changes how LATEX formats paragraph units. To affect a paragraph unit’s
format, the scope of the declaration must contain the blank line or \end command that ends
the paragraph unit.

9.13 itemize
Synopsis:
\begin{itemize}
\item item1
\item item2
...
\end{itemize}
The itemize environment produces an “unordered”, “bulleted” list. Itemizations can
be nested within one another, up to four levels deep. They can also be nested within other
paragraph-making environments, such as enumerate (see Section 9.7 [enumerate], page 18).
Each item of an itemize list begins with an \item command. There must be at least
one \item command within the environment.
By default, the marks at each level look like this:
1. • (bullet)
2. -- (bold en-dash)
3. * (asterisk)
4. · (centered dot)
The itemize environment uses the commands \labelitemi through \labelitemiv to
produce the default label. So, you can use \renewcommand to change the labels. For
instance, to have the first level use diamonds:
\renewcommand{\labelitemi}{$\diamond$}
The \leftmargini through \leftmarginvi parameters define the distance between the
left margin of the enclosing environment and the left margin of the list. By convention,
\leftmargin is set to the appropriate \leftmarginN when a new level of nesting is entered.
The defaults vary from ‘.5em’ (highest levels of nesting) to ‘2.5em’ (first level), and are
a bit reduced in two-column mode. This example greatly reduces the margin space for
outermost lists:
\setlength{\leftmargini}{1.25em} % default 2.5em
Some parameters that affect list formatting:
\itemindent
Extra indentation before each item in a list; default zero.
\labelsep
Space between the label and text of an item; default ‘.5em’.
Chapter 9: Environments 23

\labelwidth
Width of the label; default ‘2em’, or ‘1.5em’ in two-column mode.
\listparindent
Extra indentation added to second and subsequent paragraphs within a list
item; default ‘0pt’.
\rightmargin
Horizontal distance between the right margin of the list and the enclosing en-
vironment; default ‘0pt’, except in the quote, quotation, and verse environ-
ments, where it is set equal to \leftmargin.
Parameters affecting vertical spacing between list items (rather loose, by default).
\itemsep Vertical space between items. The default is 2pt plus1pt minus1pt for 10pt
documents, 3pt plus2pt minus1pt for 11pt, and 4.5pt plus2pt minus1pt for
12pt.
\parsep Extra vertical space between paragraphs within a list item. Defaults are the
same as \itemsep.
\topsep Vertical space between the first item and the preceding paragraph. For top-level
lists, the default is 8pt plus2pt minus4pt for 10pt documents, 9pt plus3pt
minus5pt for 11pt, and 10pt plus4pt minus6pt for 12pt. These are reduced
for nested lists.
\partopsep
Extra space added to \topsep when the list environment starts a paragraph.
The default is 2pt plus1pt minus1pt for 10pt documents, 3pt plus1pt
minus1pt for 11pt, and 3pt plus2pt minus2pt for 12pt.
Especially for lists with short items, it may be desirable to elide space between items.
Here is an example defining an itemize* environment with no extra spacing between items,
or between paragraphs within a single item (\parskip is not list-specific, see Section 16.3
[\parskip], page 47):
\newenvironment{itemize*}%
{\begin{itemize}%
\setlength{\itemsep}{0pt}%
\setlength{\parsep}{0pt}}%
\setlength{\parskip}{0pt}}%
{\end{itemize}}

9.14 letter environment: writing letters

This environment is used for creating letters. See Chapter 25 [Letters], page 79.

9.15 list
The list environment is a generic environment which is used for defining many of the more
specific environments. It is seldom used in documents, but often in macros.
\begin{list}{labeling}{spacing}
\item item1
Chapter 9: Environments 24

\item item2
...
\end{list}
The mandatory labeling argument specifies how items should be labelled (unless the
optional argument is supplied to \item). This argument is a piece of text that is inserted
in a box to form the label. It can and usually does contain other LATEX commands.
The mandatory spacing argument contains commands to change the spacing parameters
for the list. This argument will most often be empty, i.e., {}, which leaves the default
spacing.
The width used for typesetting the list items is specified by \linewidth (see Section 6.5
[Page layout parameters], page 12).

9.16 math
Synopsis:
\begin{math}
math
\end{math}
The math environment inserts the given math within the running text. \(...\)) and
$...$ are synonyms. See Chapter 17 [Math formulas], page 49.

9.17 minipage
\begin{minipage}[position][height][inner-pos]{width}
text
\end{minipage}
The minipage environment typesets its body text in a block that will not be broken
across pages. This is similar to the \parbox command (see Section 21.5 [\parbox], page 68),
but unlike \parbox, other paragraph-making environments can be used inside a minipage.
The arguments are the same as for \parbox (see Section 21.5 [\parbox], page 68).
By default, paragraphs are not indented in the minipage environment. You can restore
indentation with a command such as \setlength{\parindent}{1pc} command.
Footnotes in a minipage environment are handled in a way that is particularly useful
for putting footnotes in figures or tables. A \footnote or \footnotetext command puts
the footnote at the bottom of the minipage instead of at the bottom of the page, and it
uses the \mpfootnote counter instead of the ordinary footnote counter (see Chapter 14
[Counters], page 44).
However, don’t put one minipage inside another if you are using footnotes; they may
wind up at the bottom of the wrong minipage.

9.18 picture
\begin{picture}(width,height)(x offset,y offset)
... picture commands ...
\end{picture}
Chapter 9: Environments 25

The picture environment allows you to create just about any kind of picture you want
containing text, lines, arrows and circles. You tell LATEX where to put things in the picture
by specifying their coordinates. A coordinate is a number that may have a decimal point
and a minus sign—a number like 5, 0.3 or -3.1416. A coordinate specifies a length in
multiples of the unit length \unitlength, so if \unitlength has been set to 1cm, then the
coordinate 2.54 specifies a length of 2.54 centimeters.
You should only change the value of \unitlength, using the \setlength command,
outside of a picture environment. The default value is 1pt.
A position is a pair of coordinates, such as (2.4,-5), specifying the point with x-
coordinate 2.4 and y-coordinate -5. Coordinates are specified in the usual way with respect
to an origin, which is normally at the lower-left corner of the picture. Note that when a
position appears as an argument, it is not enclosed in braces; the parentheses serve to
delimit the argument.
The picture environment has one mandatory argument, which is a position. It spec-
ifies the size of the picture. The environment produces a rectangular box with width and
height determined by this argument’s x- and y-coordinates.
The picture environment also has an optional position argument, following the size
argument, that can change the origin. (Unlike ordinary optional arguments, this argument
is not contained in square brackets.) The optional argument gives the coordinates of the
point at the lower-left corner of the picture (thereby determining the origin). For example,
if \unitlength has been set to 1mm, the command
\begin{picture}(100,200)(10,20)
produces a picture of width 100 millimeters and height 200 millimeters, whose lower-left
corner is the point (10,20) and whose upper-right corner is therefore the point (110,220).
When you first draw a picture, you typically omit the optional argument, leaving the origin
at the lower-left corner. If you then want to modify your picture by shifting everything,
you can just add the appropriate optional argument.
The environment’s mandatory argument determines the nominal size of the picture. This
need bear no relation to how large the picture really is; LATEX will happily allow you to put
things outside the picture, or even off the page. The picture’s nominal size is used by LATEX
in determining how much room to leave for it.
Everything that appears in a picture is drawn by the \put command. The command
\put (11.3,-.3){...}
puts the object specified by ... in the picture, with its reference point at coordinates
(11.3, −.3). The reference points for various objects will be described below.
The \put command creates an LR box. You can put anything that can go in an \mbox
(see Section 21.1 [\mbox], page 67) in the text argument of the \put command. When you
do this, the reference point will be the lower left corner of the box.
The picture commands are described in the following sections.

9.18.1 \circle
\circle[*]{diameter}
The \circle command produces a circle with a diameter as close to the specified one
as possible. The *-form of the command draws a solid circle.
Chapter 9: Environments 26

Circles up to 40 pt can be drawn.

9.18.2 \makebox
\makebox(width,height)[position]{...}
The \makebox command for the picture environment is similar to the normal \makebox
command except that you must specify a width and height in multiples of \unitlength.
The optional argument, [position], specifies the quadrant that your text appears in.
You may select up to two of the following:
t Moves the item to the top of the rectangle.
b Moves the item to the bottom.
l Moves the item to the left.
r Moves the item to the right.
See Section 21.4 [\makebox], page 67.

9.18.3 \framebox
Synopsis:
\framebox(width,height)[pos]{...}
The \framebox command is like \makebox (see previous section), except that it puts a
frame around the outside of the box that it creates.
The \framebox command produces a rule of thickness \fboxrule, and leaves a space
\fboxsep between the rule and the contents of the box.

9.18.4 \dashbox
Draws a box with a dashed line. Synopsis:
\dashbox{dlen}(rwidth,rheight)[pos]{text}
\dashbox creates a dashed rectangle around text in a picture environment. Dashes are
dlen units long, and the rectangle has overall width rwidth and height rheight. The text is
positioned at optional pos.
A dashed box looks best when the rwidth and rheight are multiples of the dlen.

9.18.5 \frame
Synopsis:
\frame{text}
The \frame command puts a rectangular frame around text. The reference point is the
bottom left corner of the frame. No extra space is put between the frame and the object.

9.18.6 \line
Synopsis:
\line(xslope,yslope){length}
The \line command draws a line with the given length and slope xslope/yslope.
Standard LATEX can only draw lines with slope = x/y, where x and y have integer values
from −6 through 6. For lines of any slope, not to mention other shapes, see the curve2e
and many many other packages on CTAN.
Chapter 9: Environments 27

9.18.7 \linethickness
The \linethickness{dim} command declares the thickness of horizontal and vertical lines
in a picture environment to be dim, which must be a positive length.
\linethickness does not affect the thickness of slanted lines, circles, or the quarter
circles drawn by \oval.

9.18.8 \thicklines
The \thicklines command is an alternate line thickness for horizontal and vertical lines
in a picture environment; cf. Section 9.18.7 [\linethickness], page 27 and Section 9.18.9
[\thinlines], page 27.

9.18.9 \thinlines
The \thinlines command is the default line thickness for horizontal and vertical lines
in a picture environment; cf. Section 9.18.7 [\linethickness], page 27 and Section 9.18.8
[\thicklines], page 27.

9.18.10 \multiput
Synopsis:
\multiput(x,y)(delta_x,delta_y){n}{obj}
The \multiput command copies the object obj in a regular pattern across a picture.
obj is first placed at position (x, y), then at (x + δx, y + δy), and so on, n times.

9.18.11 \oval
Synopsis:
\oval(width,height)[portion]
The \oval command produces a rectangle with rounded corners. The optional argument
portion allows you to select part of the oval via the following:

t selects the top portion;

b selects the bottom portion;

r selects the right portion;

l selects the left portion.

The “corners” of the oval are made with quarter circles with a maximum radius of 20 pt,
so large “ovals” will look more like boxes with rounded corners.

9.18.12 \put
\put(x coord,y coord){ ... }
The \put command places the item specified by the mandatory argument at the given
coordinates.
Chapter 9: Environments 28

9.18.13 \shortstack
Synopsis:
\shortstack[position]{...\\...\\...}
The \shortstack command produces a stack of objects. The valid positions are:
r Move the objects to the right of the stack.
l Move the objects to the left of the stack
c Move the objects to the centre of the stack (default)
Objects are separated with \\.

9.18.14 \vector
Synopsis:
\vector(x-slope,y-slope){length}
The \vector command draws a line with an arrow of the specified length and slope.
The x and y values must lie between −4 and +4, inclusive.

9.19 quotation
Synopsis:
\begin{quotation}
text
\end{quotation}
The margins of the quotation environment are indented on both the left and the right.
The text is justified at both margins. Leaving a blank line between text produces a new
paragraph.
Unlike the quote environment, each paragraph is indented normally.

9.20 quote
Snyopsis:
\begin{quote}
text
\end{quote}
The margins of the quote environment are indented on both the left and the right.
The text is justified at both margins. Leaving a blank line between text produces a new
paragraph.
Unlike the quotation environment, paragraphs are not indented.

9.21 tabbing
Synopsis:
\begin{tabbing}
row1col1 \= row1col2 \= row1col3 \= row1col4 \\
row2col1 \> \> row2col3 \\
Chapter 9: Environments 29

...
\end{tabbing}
The tabbing environment provides a way to align text in columns. It works by setting
tab stops and tabbing to them much as was done on an ordinary typewriter. It is best
suited for cases where the width of each column is constant and known in advance.
This environment can be broken across pages, unlike the tabular environment.
The following commands can be used inside a tabbing enviroment:
\\ (tabbing)
End a line.
\= (tabbing)
Sets a tab stop at the current position.
\> (tabbing)
Advances to the next tab stop.
\< Put following text to the left of the local margin (without changing the margin).
Can only be used at the start of the line.
\+ Moves the left margin of the next and all the following commands one tab stop
to the right, beginning tabbed line if necessary.
\- Moves the left margin of the next and all the following commands one tab stop
to the left, beginning tabbed line if necessary.
\’ (tabbing)
Moves everything that you have typed so far in the current column, i.e. every-
thing from the most recent \>, \<, \’, \\, or \kill command, to the right of
the previous column, flush against the current column’s tab stop.
\‘ (tabbing)
Allows you to put text flush right against any tab stop, including tab stop 0.
However, it can’t move text to the right of the last column because there’s no
tab stop there. The \‘ command moves all the text that follows it, up to the
\\ or \end{tabbing} command that ends the line, to the right margin of the
tabbing environment. There must be no \> or \’ command between the \‘
and the command that ends the line.
\a (tabbing)
In a tabbing environment, the commands \=, \’ and \‘ do not produce accents
as usual (see Section 22.3 [Accents], page 73). Instead, the commands \a=, \a’
and \a‘ are used.
\kill Sets tab stops without producing text. Works just like \\ except that it throws
away the current line instead of producing output for it. The effect of any \=,
\+ or \- commands in that line remain in effect.
\poptabs Restores the tab stop positions saved by the last \pushtabs.
\pushtabs
Saves all current tab stop positions. Useful for temporarily changing tab stop
positions in the middle of a tabbing environment.
Chapter 9: Environments 30

\tabbingsep
Distance to left of tab stop moved by \’.
This example typesets a Pascal function in a traditional format:
\begin{tabbing}
function \= fact(n : integer) : integer;\\
\> begin \= \+ \\
\> if \= n $>$ 1 then \+ \\
fact := n * fact(n-1) \- \\
else \+ \\
fact := 1; \-\- \\
end;\\
\end{tabbing}

9.22 table
Synopsis:
\begin{table}[placement]

body of the table

\caption{table title}
\end{table}
Tables are objects that are not part of the normal text, and are usually “floated” to a
convenient place, like the top of a page. Tables will not be split between two pages.
The optional argument [placement] determines where LATEX will try to place your table.
There are four places where LATEX can possibly put a float; these are the same as that used
with the figure environment, and described there (see Section 9.10 [figure], page 19).
The standard report and article classes use the default placement [tbp].
The body of the table is made up of whatever text, LATEX commands, etc., you wish.
The \caption command allows you to title your table.

9.23 tabular
Synopsis:
\begin{tabular}[pos]{cols}
column 1 entry & column 2 entry ... & column n entry \\
...
\end{tabular}
or
\begin{tabular*}{width}[pos]{cols}
column 1 entry & column 2 entry ... & column n entry \\
...
\end{tabular*}
These environments produce a box consisting of a sequence of rows of items, aligned
vertically in columns.
Chapter 9: Environments 31

\\ must be used to specify the end of each row of the table, except for the last, where
it is optional—unless an \hline command (to put a rule below the table) follows.
The mandatory and optional arguments consist of:
width Specifies the width of the tabular* environment. There must be rubber space
between columns that can stretch to fill out the specified width.
pos Specifies the vertical position; default is alignment on the centre of the envi-
ronment.
t align on top row
b align on bottom row
cols Specifies the column formatting. It consists of a sequence of the following
specifiers, corresponding to the sequence of columns and intercolumn material.
l A column of left-aligned items.
r A column of right-aligned items.
c A column of centered items.
| A vertical line the full height and depth of the environment.
@{text} This inserts text in every row. An @-expression suppresses the
intercolumn space normally inserted between columns; any desired
space before the adjacent item must be included in text.
To insert commands that are automatically executed before a given
column, you have to load the array package and use the >{...}
specifier.
An \extracolsep{wd} command in an @-expression causes an ex-
tra space of width wd to appear to the left of all subsequent columns,
until countermanded by another \extracolsep command. Unlike
ordinary intercolumn space, this extra space is not suppressed by
an @-expression. An \extracolsep command can be used only in
an @-expression in the cols argument.
p{wd} Produces a column with each item typeset in a parbox of width
wd, as if it were the argument of a \parbox[t]{wd} command.
However, a \\ may not appear in the item, except in the following
situations:
1. inside an environment like minipage, array, or tabular.
2. inside an explicit \parbox.
3. in the scope of a \centering, \raggedright, or \raggedleft
declaration. The latter declarations must appear inside braces
or an environment when used in a p-column element.
*{num}{cols}
Equivalent to num copies of cols, where num is a positive integer
and cols is any list of column-specifiers, which may contain another
*-expression.
Chapter 9: Environments 32

Parameters that control formatting:

\arrayrulewidth
Thickness of the rule created by |, \hline, and \vline in the tabular and
array environments; the default is ‘.4pt’.
\arraystretch
Scaling of spacing between rows in the tabular and array environments; de-
fault is ‘1’, for no scaling.
\doublerulesep
Horizontal distance between the vertical rules produced by || in the tabular
and array environments; default is ‘2pt’.
\tabcolsep
Half the width of the space between columns; default is ‘6pt’.

The following commands can be used inside a tabular environment:

9.23.1 \multicolumn
Synopsis:
\multicolumn{cols}{pos}{text}
The \multicolumn command makes an entry that spans several columns. The first
mandatory argument, cols, specifies the number of columns to span. The second mandatory
argument, pos, specifies the formatting of the entry; c for centered, l for flushleft, r for
flushright. The third mandatory argument, text, specifies what text to put in the entry.
Here’s an example showing two columns separated by an en-dash; \multicolumn is used
for the heading:
\begin{tabular}{r@{--}l}
\multicolumn{2}{c}{\bf Unicode}\cr
0x80&0x7FF \cr
0x800&0xFFFF \cr
0x10000&0x1FFFF \cr
\end{tabular}

9.23.2 \cline
Synopsis:
\cline{i-j}
The \cline command draws horizontal lines across the columns specified, beginning in
column i and ending in column j, which are specified in the mandatory argument.

9.23.3 \hline
The \hline command draws a horizontal line the width of the enclosing tabular or array
environment. It’s most commonly used to draw a line at the top, bottom, and between the
rows of a table.
Chapter 9: Environments 33

9.23.4 \vline
The \vline command will draw a vertical line extending the full height and depth of its
row. An \hfill command can be used to move the line to the edge of the column. It can
also be used in an @-expression.

9.24 thebibliography
Synopsis:
\begin{thebibliography}{widest-label}
\bibitem[label]{cite_key}
...
\end{thebibliography}
The thebibliography environment produces a bibliography or reference list.
In the article class, this reference list is labelled “References”; in the report class, it
is labelled “Bibliography”. You can change the label (in the standard classes) by redefining
the command \refname. For instance, this eliminates it entirely:
\renewcommand{\refname}{}
The mandatory widest-label argument is text that, when typeset, is as wide as the widest
item label produced by the \bibitem commands. It is typically given as 9 for bibliographies
with less than 10 references, 99 for ones with less than 100, etc.

9.24.1 \bibitem
Synopsis:
\bibitem[label]{cite_key}
The \bibitem command generates an entry labelled by label. If the label argument is
missing, a number is automatically generated using the enumi counter. The cite key is any
sequence of letters, numbers, and punctuation symbols not containing a comma.
This command writes an entry to the .aux file containing the item’s cite key and la-
bel. When the .aux file is read by the \begin{document} command, the item’s label is
associated with cite_key, causing references to cite key with a \cite command (see next
section) to produce the associated label.

9.24.2 \cite
Synopsis:
\cite[subcite]{keys
The keys argument is a list of one or more citation keys, separated by commas. This
command generates an in-text citation to the references associated with keys by entries in
the .aux file.
The text of the optional subcite argument appears after the citation. For example,
\cite[p.~314]{knuth} might produce ‘[Knuth, p. 314]’.

9.24.3 \nocite
\nocite{key_list}
The \nocite command produces no text, but writes key_list, which is a list of one or
more citation keys, on the .aux file.
Chapter 9: Environments 34

9.24.4 Using BibTEX

If you use the BibTEX program by Oren Patashnik (highly recommended if you need a
bibliography of more than a couple of titles) to maintain your bibliography, you don’t use
the thebibliography environment (see Section 9.24 [thebibliography], page 33). Instead,
you include the lines
\bibliographystyle{bibstyle}
\bibliography{bibfile1,bibfile2}
The \bibliographystyle command does not produce any output of its own. Rather,
it defines the style in which the bibliography will be produced: bibstyle refers to a file bib-
style.bst, which defines how your citations will look. The standard style names distributed
with BibTEX are:
alpha Sorted alphabetically. Labels are formed from name of author and year of
publication.
plain Sorted alphabetically. Labels are numeric.
unsrt Like plain, but entries are in order of citation.
abbrv Like plain, but more compact labels.
In addition, numerous other BibTEX style files exist tailored to the demands of various
publications. See http://www.ctan.org/tex-archive/biblio/bibtex/contrib.
The \bibliography command is what actually produces the bibliography. The argu-
ment to \bibliography refers to files named bibfile.bib, which should contain your
database in BibTEX format. Only the entries referred to via \cite and \nocite will be
listed in the bibliography.

9.25 theorem
Synopsis:
\begin{theorem}
theorem-text
\end{theorem}
The theorem environment produces “Theorem n” in boldface followed by theorem-text,
where the numbering possibilities for n are described under \newtheorem (see Section 13.6
[\newtheorem], page 42).

9.26 titlepage
Synopsis:
\begin{titlepage}
text
\end{titlepage}
The titlepage environment creates a title page, i.e., a page with no printed page number
or heading. It also causes the following page to be numbered page one. Formatting the title
page is left to you. The \today command may be useful on title pages (see Section 22.6
[\today], page 75).
You can use the \maketitle command (see Section 19.1 [\maketitle], page 62) to produce
a standard title page without a titlepage environment.
Chapter 9: Environments 35

9.27 verbatim
Synopsis:
\begin{verbatim}
literal-text
\end{verbatim}
The verbatim environment is a paragraph-making environment in which LATEX produces
exactly what you type in; for instance the \ character produces a printed ‘\’. It turns LATEX
into a typewriter with carriage returns and blanks having the same effect that they would
on a typewriter.
The verbatim uses a monospaced typewriter-like font (\tt).

9.27.1 \verb
Synopsis:
\verbcharliteral-textchar
\verb*charliteral-textchar
The \verb command typesets literal-text as it is input, including special characters and
spaces, using the typewriter (\tt) font. No spaces are allowed between \verb or \verb*
and the delimiter char, which begins and ends the verbatim text. The delimiter must not
appear in literal-text.
The *-form differs only in that spaces are printed with a “visible space” character.
(Namely, ␣.)

9.28 verse
Synopsis:
\begin{verse}
line1 \\
line2 \\
...
\end{verse}
The verse environment is designed for poetry, though you may find other uses for it.
The margins are indented on the left and the right, paragraphs are not indented, and
the text is not justified. Separate the lines of each stanza with \\, and use one or more
blank lines to separate the stanzas.
Chapter 10: Line breaking 36

10 Line breaking
The first thing LATEX does when processing ordinary text is to translate your input file into
a sequence of glyphs and spaces. To produce a printed document, this sequence must be
broken into lines (and these lines must be broken into pages).
LATEX usually does the line (and page) breaking for you, but in some environments, you
do the line breaking yourself with the \\ command, and you can always manually force
breaks.

10.1 \\[*][morespace]
The \\ command tells LATEX to start a new line. It has an optional argument, morespace,
that specifies how much extra vertical space is to be inserted before the next line. This can
be a negative amount.
The \\* command is the same as the ordinary \\ command except that it tells LATEX
not to start a new page after the line.

10.2 \obeycr & \restorecr

The \obeycr command makes a return in the input file (‘^^M’, internally) the same as \\
(followed by \relax). So each new line in the input will also be a new line in the output.
\restorecr restores normal line-breaking behavior.

10.3 \newline
The \newline command breaks the line at the present point, with no stretching of the text
before it. It can only be used in paragraph mode.

10.4 \- (discretionary hyphen)

The \- command tells LATEX that it may hyphenate the word at that point. LATEX is very
good at hyphenating, and it will usually find most of the correct hyphenation points, and
almost never use an incorrect one. The \- command is used for the exceptional cases.
When you insert \- commands in a word, the word will only be hyphenated at those
points and not at any of the hyphenation points that LATEX might otherwise have chosen.

10.5 \fussy
The declaration \fussy (which is the default) makes TEX picky about line breaking. This
usually avoids too much space between words, at the cost of an occasional overfull box.
This command cancels the effect of a previous \sloppy command (see Section 10.6
[\sloppy], page 36.

10.6 \sloppy
The declaration \sloppy makes TEX less fussy about line breaking. This will avoid overfull
boxes, at the cost of loose interword spacing.
Lasts until a \fussy command is issued (see Section 10.5 [\fussy], page 36).
Chapter 10: Line breaking 37

10.7 \hyphenation
Synopsis:
\hyphenation{word-one word-two}
The \hyphenation command declares allowed hyphenation points with a - character in
the given words. The words are separated by spaces. TEX will only hyphenate if the word
matches exactly, no inflections are tried. Multiple \hyphenation commands accumulate.
Some examples (the default TEX hyphenation patterns misses the hyphenations in these
words):
\hyphenation{ap-pen-dix col-umns data-base data-bases}

10.8 \linebreak & \nolinebreak

Synopses:
\linebreak[priority]
\nolinebreak[priority]
By default, the \linebreak (\nolinebreak) command forces (prevents) a line break at
the current position. For \linebreak, the spaces in the line are stretched out so that it
extends to the right margin as usual.
With the optional argument priority, you can convert the command from a demand to
a request. The priority must be a number from 0 to 4. The higher the number, the more
insistent the request.
Chapter 11: Page breaking 38

11 Page breaking
LATEX starts new pages asynchronously, when enough material has accumulated to fill up
a page. Usually this happens automatically, but sometimes you may want to influence the
breaks.

11.1 \cleardoublepage
The \cleardoublepage command ends the current page and causes all figures and tables
that have so far appeared in the input to be printed. In a two-sided printing style, it
also makes the next page a right-hand (odd-numbered) page, producing a blank page if
necessary.

11.2 \clearpage
The \clearpage command ends the current page and causes all figures and tables that
have so far appeared in the input to be printed.

11.3 \newpage
The \newpage command ends the current page, but does not clear floats (see \clearpage
above).

11.4 \enlargethispage
\enlargethispage{size}
\enlargethispage*{size}
Enlarge the \textheight for the current page by the specified amount; e.g.
\enlargethispage{\baselineskip} will allow one additional line.
The starred form tries to squeeze the material together on the page as much as possible.
This is normally used together with an explicit \pagebreak.

11.5 \pagebreak & \nopagebreak

Synopses:
\pagebreak[priority]
\nopagebreak[priority]
By default, the \pagebreak (\nopagebreak) command forces (prevents) a page break
at the current position. With \pagebreak, the vertical space on the page is stretched out
where possible so that it extends to the normal bottom margin.
With the optional argument priority, you can convert the \pagebreak command from a
demand to a request. The number must be a number from 0 to 4. The higher the number,
the more insistent the request is.
Chapter 12: Footnotes 39

12 Footnotes
Footnotes can be produced in one of two ways. They can be produced with one com-
mand, the \footnote command. They can also be produced with two commands, the
\footnotemark and the \footnotetext commands.

12.1 \footnote
Synopsis:
\footnote[number]{text}
The \footnote command places the numbered footnote text at the bottom of the current
page. The optional argument number changes the default footnote number.
This command can only be used in outer paragraph mode; i.e., you cannot use it in
sectioning commands like \chapter, in figures, tables or in a tabular environment. (See
following sections.)

12.2 \footnotemark
With no optional argument, the \footnotemark command puts the current footnote number
in the text. This command can be used in inner paragraph mode. You give the text of the
footnote separately, with the \footnotetext command.
This command can be used to produce several consecutive footnote markers referring to
the same footnote with
\footnotemark[\value{footnote}]
after the first \footnote command.

12.3 \footnotetext
Synopsis:
\footnotetext[number]{text}
The \footnotetext command places text at the bottom of the page as a footnote. This
command can come anywhere after the \footnotemark command. The \footnotetext
command must appear in outer paragraph mode.
The optional argument number changes the default footnote number.

12.4 Symbolic footnotes

If you want to use symbols for footnotes, rather than increasing numbers, redefine
\thefootnote like this:
\renewcommand{\thefootnote}{\fnsymbol{footnote}}
The \fnsymbol command produces a predefined series of symbols (see Section 14.1 [\alph
\Alph \arabic \roman \Roman \fnsymbol], page 44). If you want to use a different symbol
as your footnote mark, you’ll need to also redefine \@fnsymbol.
Chapter 12: Footnotes 40

12.5 Footnote parameters

\footnoterule
Produces the rule separating the main text on a page from the page’s footnotes.
Default dimensions: 0.4pt thick (or wide), and 0.4\columnwidth long in the
standard document classes (except slides, where it does not appear).
\footnotesep
The height of the strut placed at the beginning of the footnote. By default, this
is set to the normal strut for \footnotesize fonts (see Section 5.2 [Font sizes],
page 8), therefore there is no extra space between footnotes. This is ‘6.65pt’
for ‘10pt’, ‘7.7pt’ for ‘11pt’, and ‘8.4pt’ for ‘12pt’.
Chapter 13: Definitions 41

13 Definitions
LATEX has support for making new commands of many different kinds.

13.1 \newcommand & \renewcommand

\newcommand and \renewcommand define and redefine a command, respectively. Synopses:
\newcommand[*]{cmd}[nargs][optarg]{defn}
\renewcommand[*]{cmd}[nargs][optarg]{defn}
* The *-form of these commands requires that the arguments not contain multiple
paragraphs of text (not \long, in plain TEX terms).
cmd The command name beginning with \. For \newcommand, it must not be already
defined and must not begin with \end; for \renewcommand, it must already be
defined.
nargs An optional integer from 1 to 9 specifying the number of arguments that the
command will take. The default is for the command to have no arguments.
optarg If this optional parameter is present, it means that the command’s first argu-
ment is optional. The default value of the optional argument (i.e., if it is not
specified in the call) is optarg, or, if that argument is present in the \newcommand
but has an empty value, the string ‘def’.
defn The text to be substituted for every occurrence of cmd; a construct of the form
#n in defn is replaced by the text of the nth argument.

13.2 \newcounter
Synopsis:
\newcounter{cnt}[countername]
The \newcounter command defines a new counter named cnt. The new counter is
initialized to zero.
Given the optional argument [countername], cnt will be reset whenever countername
is incremented.
See Chapter 14 [Counters], page 44, for more information about counters.

13.3 \newlength
Synopsis:
\newlength{\arg}
The \newlength command defines the mandatory argument as a length command with
a value of 0in. The argument must be a control sequence, as in \newlength{\foo}. An
error occurs if \foo is already defined.
See Chapter 15 [Lengths], page 46, for how to set the new length to a nonzero value,
and for more information about lengths in general.
Chapter 13: Definitions 42

13.4 \newsavebox
Synopsis:
\newsavebox{cmd}
Defines \cmd, which must be a command name not already defined, to refer to a new
bin for storing boxes.

13.5 \newenvironment & \renewenvironment

Synopses:
\newenvironment[*]{env}[nargs][default]{begdef}{enddef}
\renewenvironment[*]{env}[nargs]{begdef}{enddef}
These commands define or redefine an environment env, that is, \begin{env} ...
\end{env}.
* The *-form of these commands requires that the arguments (not the contents
of the environment) not contain multiple paragraphs of text.
env The name of the environment. For \newenvironment, env must not be
an existing environment, and the command \env must be undefined. For
\renewenvironment, env must be the name of an existing environment.
nargs An integer from 1 to 9 denoting the number of arguments of the newly-defined
environment. The default is no arguments.
default If this is specified, the first argument is optional, and default gives the default
value for that argument.
begdef The text expanded at every occurrence of \begin{env}; a construct of the form
#n in begdef is replaced by the text of the nth argument.
enddef The text expanded at every occurrence of \end{env}. It may not contain any
argument parameters.

13.6 \newtheorem
\newtheorem{newenv}{label}[within]
\newtheorem{newenv}[numbered_like]{label}
This command defines a theorem-like environment. Arguments:
newenv The name of the environment to be defined; must not be the name of an existing
environment or otherwise defined.
label The text printed at the beginning of the environment, before the number. For
example, ‘Theorem’.
numbered like
(Optional.) The name of an already defined theorem-like environment; the new
environment will be numbered just like numbered like.
within (Optional.) The name of an already defined counter, a sectional unit. The new
theorem counter will be reset at the same time as the within counter.
At most one of numbered like and within can be specified, not both.
Chapter 13: Definitions 43

13.7 \newfont
Synopsis:
\newfont{cmd}{fontname}
Defines a control sequence \cmd, which must not already be defined, to make fontname
be the current font. The file looked for on the system is named fontname.tfm.
This is a low-level command for setting up to use an individual font. More commonly,
fonts are defined in families through .fd files.

13.8 \protect
Footnotes, line breaks, any command that has an optional argument, and many more are
so-called fragile commands. When a fragile command is used in certain contexts, called
moving arguments, it must be preceded by \protect. In addition, any fragile commands
within the arguments must have their own \protect.
Some examples of moving arguments are \caption (see Section 9.10 [figure], page 19),
\thanks (see Section 19.1 [\maketitle], page 62), and expressions in tabular and array
environments (see Section 9.23 [tabular], page 30).
Commands which are not fragile are called robust. They must not be preceded by
\protect.
See also:
http://www-h.eng.cam.ac.uk/help/tpl/textprocessing/teTeX/latex/latex2e-html/fragile.html
http://www.tex.ac.uk/cgi-bin/texfaq2html?label=protect
Chapter 14: Counters 44

14 Counters
Everything LATEX numbers for you has a counter associated with it. The name of the counter
is the same as the name of the environment or command that produces the number, except
with no \. (enumi–enumiv are used for the nested enumerate environment.) Below is a list
of the counters used in LATEX’s standard document classes to control numbering.
part paragraph figure enumi
chapter subparagraph table enumii
section page footnote enumiii
subsection equation mpfootnote enumiv
subsubsection

14.1 \alph \Alph \arabic \roman \Roman \fnsymbol: Printing

counters
All of these commands take a single counter as an argument, for instance, \alph{enumi}.
\alph prints counter using lowercase letters: ‘a’, ‘b’, . . .
\Alph uses uppercase letters: ‘A’, ‘B’, . . .
\arabic uses Arabic numbers: ‘1’, ‘2’, . . .
\roman uses lowercase roman numerals: ‘i’, ‘ii’, . . .
\roman uses uppercase roman numerals: ‘I’, ‘II’, . . .
\fnsymbol
prints the value of counter in a specific sequence of nine symbols (conventionally
used for labeling footnotes). The value of counter must be between 1 and 9,
inclusive.
Here are the symbols: ∗ † ‡ § ¶ k ∗∗ †† ‡‡

14.2 \usecounter{counter}
Synopsis:
\usecounter{counter}
The \usecounter command is used in the second argument of the list environment to
specify counter to be used to number the list items.

14.3 \value{counter}
Synopsis:
\value{counter}
The \value command produces the value of counter. It can be used anywhere LATEX
expects a number, for example:
\setcounter{myctr}{3}
\addtocounter{myctr}{1}
\hspace{\value{myctr}\parindent}
Chapter 14: Counters 45

14.4 \setcounter{counter}{value}
Synopsis:
\setcounter{\counter}{value}
The \setcounter command sets the value of \counter to the value argument.

14.5 \addtocounter{counter}{value}
The \addtocounter command increments counter by the amount specified by the value
argument, which may be negative.

14.6 \refstepcounter{counter}
The \refstepcounter command works in the same way as \stepcounter See Section 14.7
[\stepcounter], page 45, except it also defines the current \ref value to be the result of
\thecounter.

14.7 \stepcounter{counter}
The \stepcounter command adds one to counter and resets all subsidiary counters.

14.8 \day \month \year: Predefined counters

LATEX defines counters for the day of the month (\day, 1–31), month of the year (\month,
1–12), and year (\year, Common Era). When TEX starts up, they are set to the current
values on the system where TEX is running. They are not updated as the job progresses.
The related command \today produces a string representing the current day (see
Section 22.6 [\today], page 75).
Chapter 15: Lengths 46

15 Lengths
A length is a measure of distance. Many LATEX commands take a length as an argument.

15.1 \setlength{\len}{value}
The \setlength sets the value of \len to the value argument, which can be expressed in
any units that LATEX understands, i.e., inches (in), millimeters (mm), points (pt), big points
(bp, etc.

15.2 \addtolength{\len}{amount}
The \addtolength command increments a “length command” \len by the amount specified
in the amount argument, which may be negative.

15.3 \settodepth
\settodepth{\gnat}{text}
The \settodepth command sets the value of a length command equal to the depth of
the text argument.

15.4 \settoheight
\settoheight{\gnat}{text}
The \settoheight command sets the value of a length command equal to the height
of the text argument.

15.5 \settowidth{\len}{text}
The \settowidth command sets the value of the command \len to the width of the text
argument.

15.6 Predefined lengths

\width
\height
\depth
\totalheight
These length parameters can be used in the arguments of the box-making commands
(see Chapter 21 [Boxes], page 67). They specify the natural width, etc., of the text in the
box. \totalheight equals \height + \depth. To make a box with the text stretched to
double the natural size, e.g., say
\makebox[2\width]{Get a stretcher}
Chapter 16: Making paragraphs 47

16 Making paragraphs
A paragraph is ended by one or more completely blank lines—lines not containing even a
%. A blank line should not appear where a new paragraph cannot be started, such as in
math mode or in the argument of a sectioning command.

16.1 \indent
\indent produces a horizontal space whose width equals the width of the \parindent
length, the normal paragraph indentation. It is used to add paragraph indentation where
it would otherwise be suppressed.
The default value for \parindent is 1em in two-column mode, otherwise 15pt for 10pt
documents, 17pt for 11pt, and 1.5em for 12pt.

16.2 \noindent
When used at the beginning of the paragraph, \noindent suppresses any paragraph inden-
tation. It has no effect when used in the middle of a paragraph.

16.3 \parskip
\parskip is a rubber length defining extra vertical space added before each paragraph. The
default is 0pt plus1pt.

16.4 Marginal notes

Synopsis:
\marginpar[left]{right}
The \marginpar command creates a note in the margin. The first line of the note will
have the same baseline as the line in the text where the \marginpar occurs.
When you only specify the mandatory argument right, the text will be placed
• in the right margin for one-sided layout;
• in the outside margin for two-sided layout;
• in the nearest margin for two-column layout.
The command \reversemarginpar places subsequent marginal notes in the opposite
(inside) margin. \normalmarginpar places them in the default position.
When you specify both arguments, left is used for the left margin, and right is used for
the right margin.
The first word will normally not be hyphenated; you can enable hyphenation there by
beginning the node with \hspace{0pt}.
These parameters affect the formatting of the note:
\marginparpush
Minimum vertical space between notes; default ‘7pt’ for ‘12pt’ documents, ‘5pt’
else.
Chapter 16: Making paragraphs 48

\marginparsep
Horizontal space between the main text and the note; default ‘11pt’ for ‘10pt’
documents, ‘10pt’ else.
\marginparwidth
Width of the note itself; default for a one-sided ‘10pt’ document is ‘90pt’,
‘83pt’ for ‘11pt’, and ‘68pt’ for ‘12pt’; ‘17pt’ more in each case for a two-sided
document. In two column mode, the default is ‘48pt’.
The standard LATEX routine for marginal notes does not prevent notes from falling off
the bottom of the page.
Chapter 17: Math formulas 49

17 Math formulas
There are three environments that put LATEX in math mode:
math For formulas that appear right in the text.
displaymath
For formulas that appear on their own line.
equation The same as the displaymath environment except that it adds an equation
number in the right margin.
The math environment can be used in both paragraph and LR mode, but the
displaymath and equation environments can be used only in paragraph mode. The math
and displaymath environments are used so often that they have the following short forms:
\(...\) instead of \begin{math}...\end{math}
\[...\] instead of \begin{displaymath}...\end{displaymath}
In fact, the math environment is so common that it has an even shorter form:
$ ... $ instead of \(...\)
The \boldmath command changes math letters and symbols to be in a bold font. It is
used outside of math mode. Conversely, the \unboldmath command changes math glyphs
to be in a normal font; it too is used outside of math mode.
The \displaystyle declaration forces the size and style of the formula to be that of
displaymath, e.g., with limits above and below summations. For example
$\displaystyle \sum_{n=0}^\infty x_n $

17.1 Subscripts & superscripts

To get an expression exp to appear as a subscript, you just type _{exp}. To get exp to
appear as a superscript, you type ^{exp}. LATEX handles superscripted superscripts and all
of that stuff in the natural way. It even does the right thing when something has both a
subscript and a superscript.

17.2 Math symbols

LATEX provides almost any mathematical symbol you’re likely to need. The commands for
generating them can be used only in math mode. For example, if you include $\pi$ in your
source, you will get the pi symbol (π) in your output.
\|
\aleph ℵ
\alpha α
\amalg q (binary operation)
\angle 6

\approx ≈ (relation)
\ast ∗ (binary operation)
Chapter 17: Math formulas 50

\asymp  (relation)
\backslash
\ (delimiter)
\beta β
T
\bigcap
\bigcirc (binary operation)
S
\bigcup
J
\bigodot
\bigoplus L

\bigotimesN

\bigtriangledown
5 (binary operation)
\bigtriangleup
4 (binary operation)
\bigsqcup F

\biguplus U

W
\bigcap
\bigwedge V

\bot ⊥
\bowtie ./ (relation)
\Box (square open box symbol)
\bullet • (binary operation)
\cap ∩ (binary operation)
\cdot · (binary operation)
\chi χ
\circ ◦ (binary operation)
\clubsuit
♣
\cong ∼
= (relation)
`
\coprod
Chapter 17: Math formulas 51

\cup ∪ (binary operation)

\dagger † (binary operation)
\dashv a (relation)
\ddagger † (binary operation)
\Delta Δ
\delta δ
\Diamond bigger 
\diamond  (binary operation)
\diamondsuit
♦
\div ÷ (binary operation)
.
\doteq = (relation)
\downarrow
↓ (delimiter)
\Downarrow
⇓ (delimiter)
\ell `
\emptyset
∅
\epsilon 
\equiv ≡ (relation)
\eta η
\exists ∃
\flat [
\forall ∀
\frown _ (relation)
\Gamma Γ
\gamma γ
\ge ≥
\geq ≥ (relation)
\gets ←
\gg  (relation)
\hbar h̄
\heartsuit
♥
Chapter 17: Math formulas 52

\hookleftarrow
←-
\hookrightarrow
,→
\iff ⇐⇒
\Im =
\in ∈ (relation)
\infty ∞
R
\int
\iota ι
\Join condensed bowtie symbol (relation)
\kappa κ
\Lambda Λ
\lambda λ
\land ∧
\langle h (delimiter)
\lbrace { (delimiter)
\lbrack [ (delimiter)
\lceil d (delimiter)
\le ≤
\leadsto
\Leftarrow
⇐
\leftarrow
←
\leftharpoondown
)
\leftharpoonup
(
\Leftrightarrow
⇔
\leftrightarrow
↔
\leq ≤ (relation)
\lfloor b (delimiter)
Chapter 17: Math formulas 53

\lhd (left-pointing arrow head)

\ll  (relation)
\lnot ¬
\longleftarrow
←−
\longleftrightarrow
←→
\longmapsto
7−→
\longrightarrow
−→
\lor ∨
\mapsto 7→
\mho
\mid | (relation)
\models |= (relation)
\mp ∓ (binary operation)
\mu µ
\nabla ∇
\natural \
\ne 6=
\nearrow %
\neg ¬
\neq 6= (relation)
\ni 3 (relation)
\not Overstrike a following operator with a /, as in 6=.
\notin 3
\nu ν
\nwarrow -
\odot  (binary operation)
H
\oint
\Omega Ω
\omega ω
\ominus (binary operation)
Chapter 17: Math formulas 54

\oplus ⊕ (binary operation)

\oslash  (binary operation)
\otimes ⊗ (binary operation)
\owns 3
\parallel
k (relation)
\partial ∂
\perp ⊥ (relation)
\phi φ
\Pi Π
\pi π
\pm ± (binary operation)
\prec ≺ (relation)
\preceq  (relation)
\prime 0
Q
\prod
\propto ∝ (relation)
\Psi Ψ
\psi ψ
\rangle i (delimiter)
\rbrace } (delimiter)
\rbrack ] (delimiter)
\rceil e (delimiter)
\Re <
\rfloor c
\rhd (binary operation)
\rho ρ
\Rightarrow
⇒
\rightarrow
→
\rightharpoondown
+
\rightharpoonup
*
Chapter 17: Math formulas 55

\rightleftharpoons
*
)
\searrow &
\setminus
\ (binary operation)
\sharp ]
\Sigma Σ
\sigma σ
\sim ∼ (relation)
\simeq ' (relation)
\smallint
∫
\smile ^ (relation)
\spadesuit
♠
\sqcap u (binary operation)
\sqcup t (binary operation)
\sqsubset
(relation)
\sqsubseteq
v (relation)
\sqsupset
(relation)
\sqsupseteq
w (relation)
\star ? (binary operation)
\subset ⊂ (relation)
\subseteq
⊆ (relation)
\succ  (relation)
\succeq  (relation)
P
\sum
\supset ⊃ (relation)
\supseteq
⊇ (relation)
√
\surd
Chapter 17: Math formulas 56

\swarrow .
\tau τ
\theta θ
\times × (binary operation)
\to →
\top >
\triangle
4
\triangleleft
/ (binary operation)
\triangleright
. (binary operation)
\unlhd left-pointing arrowhead with line under (binary operation)
\unrhd right-pointing arrowhead with line under (binary operation)
\Uparrow ⇑ (delimiter)
\uparrow ↑ (delimiter)
\Updownarrow
m (delimiter)
\updownarrow
l (delimiter)
\uplus ] (binary operation)
\Upsilon ϒ
\upsilon υ
\varepsilon
ε
\varphi ϕ
\varpi $
\varrho %
\varsigma
ς
\vartheta
ϑ
\vdash ` (relation)
\vee ∨ (binary operation)
\Vert k (delimiter)
Chapter 17: Math formulas 57

\vert | (delimiter)
\wedge ∧ (binary operation)
\wp ℘
\wr o (binary operation)
\Xi Ξ
\xi ξ
\zeta ζ

17.3 Math functions

These commands produce roman function names in math mode with proper spacing.
\arccos arccos
\arcsin arcsin
\arctan arctan
\arg arg
\bmod Binary modulo operator (x mod y)
\cos cos
\cosh cosh
\cot cos
\coth cosh
\csc csc
\deg deg
\det deg
\dim dim
\exp exp
\gcd gcd
\hom hom
\inf inf
\ker ker
\lg lg
\lim lim
\liminf lim inf
\limsup lim sup
\ln ln
Chapter 17: Math formulas 58

\log log
\max max
\min min
\pmod parenthesized modulus, as in ( (mod 2)n − 1)
\Pr Pr
\sec sec
\sin sin
\sinh sinh
\sup sup
\tan tan
\tanh tanh

17.4 Math accents

LATEX provides a variety of commands for producing accented letters in math. These are
different from accents in normal text (see Section 22.3 [Accents], page 73).

\acute Math acute accent: x́.

\bar Math bar-over accent: x̄.
\breve Math breve accent: x̆.
\check Math háček (check) accent: x̌.
\ddot Math dieresis accent: ẍ.
\dot Math dot accent: ẋ.
\grave Math grave accent: x̀.
\hat Math hat (circumflex) accent: ^x.
\imath Math dotless i.
\jmath Math dotless j.
\mathring
Math ring accent: x̊.
\tilde Math tilde accent: x
~.
\vec Math vector symbol: ~x.
\widehat Math wide hat accent: xd
+ y.
\widehat Math wide tilde accent: xg
+ y.
Chapter 17: Math formulas 59

17.5 Spacing in math mode

In a math environment, LATEX ignores the spaces you type and puts in the spacing according
to the normal rules for mathematics texts. If you want different spacing, LATEX provides
the following commands for use in math mode:
\; A thick space ( 185 quad).
\:
\> Both of these produce a medium space ( 92 quad).
\, A thin space ( 61 quad); not restricted to math mode.
\! A negative thin space (− 16 quad).

17.6 Math miscellany

\* A “discretionary” multiplication symbol, at which a line break is allowed.
\cdots A horizontal ellipsis with the dots raised to the center of the line. As in: ‘· · ·’.
.
\ddots A diagonal ellipsis: . . .
\frac{num}{den}
Produces the fraction num divided by den.
eg. 14
\left delim1 ... \right delim2
The two delimiters need not match; ‘.’ acts as a null delimiter, producing no
output. The delimiters are sized according to the math in between. Example:
\left( \sum_i=1^10 a_i \right].
\overbrace{text}
k times
z }| {
Generates a brace over text. For example, x + · · · + x.
\overline{text}
Generates a horizontal line over tex. For exampe, x + y.
\sqrt[root]{arg}
Produces the representation of the square root of arg. The optional argument
root determines what root to produce. For example, the cube root of
√ x+y would
be typed as $\sqrt[3]{x+y}$. In TEX, the result looks like this: 3 x + y.
\stackrel{text}{relation}
Puts text above relation. For example, \stackrel{f}{\longrightarrow}. In
f
TEX, the result looks like this: −→.
\underbrace{math}
Generates math with a brace underneath. In TEX, the result looks like this:
x + y + z.
| {z }
>0

\underline{text}
Causes text, which may be either math mode or not, to be underlined. The
line is always below the text, taking account of descenders. In TEX, the result
looks like this: xyz
Chapter 17: Math formulas 60

.
\vdots Produces a vertical ellipsis. In TEX, the result looks like this: ...
Chapter 18: Modes 61

18 Modes
When LATEX is processing your input text, it is always in one of three modes:
• Paragraph mode
• Math mode
• Left-to-right mode, called LR mode for short
LATEX changes mode only when it goes up or down a staircase to a different level, though
not all level changes produce mode changes. Mode changes occur only when entering or
leaving an environment, or when LATEX is processing the argument of certain text-producing
commands.
“Paragraph mode” is the most common; it’s the one LATEX is in when processing ordinary
text. In that mode, LATEX breaks your text into lines and breaks the lines into pages. LATEX
is in “math mode” when it’s generating a mathematical formula. In “LR mode”, as in
paragraph mode, LATEX considers the output that it produces to be a string of words with
spaces between them. However, unlike paragraph mode, LATEX keeps going from left to
right; it never starts a new line in LR mode. Even if you put a hundred words into an
\mbox, LATEX would keep typesetting them from left to right inside a single box, and then
complain because the resulting box was too wide to fit on the line.
LATEX is in LR mode when it starts making a box with an \mbox command. You can
get it to enter a different mode inside the box - for example, you can make it enter math
mode to put a formula in the box. There are also several text-producing commands and
environments for making a box that put LATEX in paragraph mode. The box make by one
of these commands or environments will be called a parbox. When LATEX is in paragraph
mode while making a box, it is said to be in “inner paragraph mode”. Its normal paragraph
mode, which it starts out in, is called “outer paragraph mode”.
Chapter 19: Page styles 62

19 Page styles
The \documentclass command determines the size and position of the page’s head and
foot. The page style determines what goes in them.

19.1 \maketitle
The \maketitle command generates a title on a separate title page—except in the article
class, where the title is placed at the top of the first page. Information used to produce the
title is obtained from the following declarations:
\author{name \and name2}
The \author command declares the document author(s), where the argument
is a list of authors separated by \and commands. Use \\ to separate lines
within a single author’s entry—for example, to give the author’s institution or
address.
\date{text}
The \date command declares text to be the document’s date. With no \date
command, the current date (see Section 22.6 [\today], page 75) is used.
\thanks{text}
The \thanks command produces a \footnote to the title, usually used for
credit acknowledgements.
\title{text}
The \title command declares text to be the title of the document. Use \\ to
force a line break, as usual.

19.2 \pagenumbering
Synopsis:
\pagenumbering{style}
Specifies the style of page numbers, according to style:
arabic arabic numerals
roman lowercase Roman numerals
Roman uppercase Roman numerals
alph lowercase letters
Alph uppercase letters

19.3 \pagestyle
Synopsis:
\pagestyle{style}
The \pagestyle command specifies how the headers and footers are typeset from the
current page onwards. Values for style:
plain Just a plain page number.
Chapter 19: Page styles 63

empty Empty headers and footers, e.g., no page numbers.

headings Put running headers on each page. The document style specifies what goes in
the headers.
myheadings
Custom headers, specified via the \markboth or the \markright commands.
Here are the descriptions of \markboth and \markright:
\markboth{left}{right}
Sets both the left and the right heading. A “left-hand heading” (left) is gen-
erated by the last \markboth command before the end of the page, while a
“right-hand heading” (right is generated by the first \markboth or \markright
that comes on the page if there is one, otherwise by the last one before the
page.
\markright{right}
Sets the right heading, leaving the left heading unchanged.

19.4 \thispagestyle{style}
The \thispagestyle command works in the same manner as the \pagestyle command
(see previous section) except that it changes to style for the current page only.
Chapter 20: Spaces 64

20 Spaces
LATEX has many ways to produce white (or filled) space.
Another space-producing command is \, to produce a “thin” space (usually 1/6 quad).
It can be used in text mode, but is more often useful in math mode (see Section 17.5
[Spacing in math mode], page 59).

20.1 \hspace
Synopsis:
\hspace[*]{length}
The \hspace command adds horizontal space. The length argument can be expressed
in any terms that LATEX understands: points, inches, etc. It is a rubber length. You can
add both negative and positive space with an \hspace command; adding negative space is
like backspacing.
LATEX normally removes horizontal space that comes at the beginning or end of a line.
To preserve this space, use the optional * form.

20.2 \hfill
The \hfill fill command produces a “rubber length” which has no natural space but can
stretch or shrink horizontally as far as needed.
The \fill parameter is the rubber length itself (technically, the glue value ‘0pt
plus1fill’); thus, \hspace\fill is equivalent to \hfill.

20.3 \SPACE
The \ (space) command produces a normal interword space. It’s useful after punctuation
which shouldn’t end a sentence. For example Knuth’s article in Proc.\ Amer.\ Math\.
Soc.\ is fundamental. It is also often used after control sequences, as in \TeX\ is a nice
system.
In normal circumstances, \tab and \newline are equivalent to \ .

20.4 \@
The \@ command makes the following punctuation character end a sentence even if it
normally would not. This is typically used after a capital letter. Here are side-by-side
examples with and without \@:
... in C\@. Pascal, though ...
... in C. Pascal, though ...
produces
. . . in C. Pascal, though . . .
. . . in C. Pascal, though . . .

20.5 \thinspace
\thinspace produces an unbreakable and unstretchable space that is 1/6 of an em. This
is the proper space to use in nested quotes, as in ’ ”.
Chapter 20: Spaces 65

20.6 \/
The \/ command produces an italic correction. This is a small space defined by the font
designer for a given character, to avoid the character colliding with whatever follows. The
italic f character typically has a large italic correction value.
If the following character is a period or comma, it’s not necessary to insert an italic
correction, since those punctuation symbols have a very small height. However, with semi-
colons or colons, as well as normal letters, it can help. Compare f : f ; with f: f;.
Despite the name, roman characters can also have an italic correction. Compare pdfTEX
with pdfTEX.

20.7 \hrulefill
The \hrulefill fill command produces a “rubber length” which can stretch or shrink
horizontally. It will be filled with a horizontal rule.

20.8 \dotfill
The \dotfill command produces a “rubber length” that fills with dots instead of just
white space.

20.9 \addvspace
\addvspace{length}
The \addvspace command normally adds a vertical space of height length. However,
if vertical space has already been added to the same point in the output by a previous
\addvspace command, then this command will not add more space than needed to make
the natural length of the total vertical space equal to length.

20.10 \bigskip \medskip \smallskip

These commands produce a given amount of space.
\bigskip The same as \vspace{bigskipamount}, ordinarily about one line space (with
stretch and shrink).
\medskip The same as \vspace{medskipamount}, ordinarily about half of a line space
(with stretch and shrink).
\smallskip
The same as \vspace{smallskipamount}, ordinarily about a quarter of a line
space (with stretch and shrink).
The \...amount parameters are determined by the document class.

20.11 \vfill
The \vfill fill command produces a rubber length (glue) which can stretch or shrink
vertically as far as needed. It’s equivalent to \vspace{\fill} (see Section 20.2 [\hfill],
page 64).
Chapter 20: Spaces 66

20.12 \vspace[*]{length}
Synopsis:
\vspace[*]{length}
The \vspace command adds the vertical space length, i.e., a rubber length. length can
be negative or positive.
Ordinarily, LATEX removes vertical space added by \vspace at the top or bottom of a
page. With the optional * argument, the space is not removed.
Chapter 21: Boxes 67

21 Boxes
All the predefined length parameters (see Section 15.6 [Predefined lengths], page 46) can
be used in the arguments of the box-making commands.

21.1 \mbox{text}
The \mbox command creates a box just wide enough to hold the text created by its argument.
The text is not broken into lines, so it can be used to prevent hyphenation.

21.2 \fbox and \framebox

Synopses:
\fbox{text}
\framebox[width][position]{text}
The \fbox and \framebox commands are like \mbox, except that they put a frame
around the outside of the box being created.
In addition, the \framebox command allows for explicit specification of the box width
with the optional width argument (a dimension), and positioning with the optional position
argument.
Both commands produce a rule of thickness \fboxrule (default ‘.4pt’), and leave a
space of \fboxsep (default ‘3pt’) between the rule and the contents of the box.
See Section 9.18.3 [\framebox (picture)], page 26, for the \framebox command in the
picture environment.

21.3 lrbox
\begin{lrbox}{cmd} text \end{lrbox}
This is the environment form of \sbox.
The text inside the environment is saved in the box cmd, which must have been declared
with \newsavebox.

21.4 \makebox
Synopsis:
\makebox[width][position]{text}
The \makebox command creates a box just wide enough to contain the text specified.
The width of the box is specified by the optional width argument. The position of the
text within the box is determined by the optional position argument, which may take the
following values:
c Centered (default).
l Flush left.
r Flush right.
s Stretch (justify) across entire width; text must contain stretchable space for
this to work.
Chapter 21: Boxes 68

\makebox is also used within the picture environment see Section 9.18.2 [\makebox
(picture)], page 26.

21.5 \parbox
Synopsis:
\parbox[position][height][inner-pos]{width}{text}
The \parbox command produces a box whose contents are created in paragraph mode.
It should be used to make a box small pieces of text, with nothing fancy inside. In particular,
you shouldn’t use any paragraph-making environments inside a \parbox argument. For
larger pieces of text, including ones containing a paragraph-making environment, you should
use a minipage environment (see Section 9.17 [minipage], page 24).
\parbox has two mandatory arguments:
width the width of the parbox;
text the text that goes inside the parbox.
The optional position argument allows you to align either the top or bottom line in the
parbox with the baseline of the surrounding text (default is top).
The optional height argument overrides the natural height of the box.
The inner-pos argument controls the placement of the text inside the box, as follows; if
it is not specified, position is used.
t text is placed at the top of the box.
c text is centered in the box.
b text is placed at the bottom of the box.
s stretch vertically; the text must contain vertically stretchable space for this to
work.

21.6 \raisebox
Synopsis:
\raisebox{distance}[height][depth]{text}
The \raisebox command raises or lowers text. The first mandatory argument specifies
how high text is to be raised (or lowered if it is a negative amount). text itself is processed
in LR mode.
The optional arguments height and depth are dimensions. If they are specified, LATEX
treats text as extending a certain distance above the baseline (height) or below (depth),
ignoring its natural height and depth.

21.7 \savebox
Synopsis:
\savebox{\boxcmd}[width][pos]{text}
This command typeset text in a box just as with \makebox (see Section 21.4 [\makebox],
page 67), except that instead of printing the resulting box, it saves it in the box labeled
\boxcmd, which must have been declared with \newsavebox (see Section 13.4 [\newsave-
box], page 42).
Chapter 21: Boxes 69

21.8 \sbox{\boxcmd}{text}
Synopsis:
\sbox{\boxcmd}{text}
\sbox types text in a box just as with \mbox (see Section 21.1 [\mbox], page 67) except
that instead of the resulting box being included in the normal output, it is saved in the
box labeled \boxcmd. \boxcmd must have been previously declared with \newsavebox (see
Section 13.4 [\newsavebox], page 42).

21.9 \usebox{\boxcmd
Synopsis:
\usebox{\boxcmd}
\usebox producesthe box most recently saved in the bin \boxcmd by a \savebox com-
mand (see Section 21.7 [\savebox], page 68).
Chapter 22: Special insertions 70

22 Special insertions

LATEX provides commands for inserting characters that have a special meaning do not
correspond to simple characters you can type.

22.1 Reserved characters

The following characters play a special role in LATEX and are called “reserved characters”
or “special characters”.
# $ % & ~ _ ^ \ { }
Whenever you write one of these characters into your file, LATEX will do something
special. If you simply want the character to be printed as itself, include a \ in front of the
character. For example, \$ will produce $ in your output.
One exception to this rule is \ itself, because \\ has its own special (context-dependent)
meaning. A roman \ is produced by typing $\backslash$ in your file, and a typewriter \
is produced by using ‘\’ in a verbatim command (see Section 9.27 [verbatim], page 35).
Also, \~ and \^ place tilde and circumflex accents over the following letter, as in ~o and
o^ (see Section 22.3 [Accents], page 73); to get a standalone ~ or ^, you can again use a
verbatim command.
Finally, you can access any character of the current font once you know its number by
using the \symbol command. For example, the visible space character used in the \verb*
command has the code decimal 32, so it can be typed as \symbol{32}.
You can also specify octal numbers with ’ or hexadecimal numbers with ", so the previous
example could also be written as \symbol{’40} or \symbol{"20}.

22.2 Text symbols

LATEX provides commands to generate a number of non-letter symbols in running text.
Some of these, especially the more obscure ones, are not available in OT1; you may need
to load the textcomp package.

\copyright
\textcopyright
The copyright symbol, .
c
\dag The dagger symbol (in text).
\ddag The double dagger symbol (in text).
\LaTeX The LATEX logo.
\guillemotleft («)
\guillemotright (»)
\guilsinglleft (‹)
\guilsinglright (›)
Double and single angle quotation marks, commonly used in French: «, », ‹, ›.
Chapter 22: Special insertions 71

\ldots
\dots
\textellipsis
An ellipsis (three dots at the baseline): ‘. . . ’. \ldots and \dots also work in
math mode.
\lq Left (opening) quote: ‘.
\P
\textparagraph
Paragraph sign (pilcrow).
\pounds
\textsterling
English pounds sterling: £.
\quotedblbase („ )
\quotesinglbase (‚ )
Double and single quotation marks on the baseline: „ and ‚ .
\rq Right (closing) quote: ’.
\S Section symbol.
\TeX The TEX logo.
\textasciicircum
ASCII circumflex: ^.
\textasciitilde
ASCII tilde: ~.
\textasteriskcentered
Centered asterisk: *.
\textbackslash
Backslash: \.
\textbar Vertical bar: |.
\textbardbl
Double vertical bar.
\textbigcircle
Big circle symbol.
\textbraceleft
Left brace: {.
\textbraceright
Right brace: }.
\textbullet
Bullet: •.
\textcircled{letter}
letter in a circle, as in
R
.
Chapter 22: Special insertions 72

\textcompwordmark
\textcapitalwordmark
\textascenderwordmark
Composite word mark (invisible). The \textcapital... form has the cap
height of the font, while the \textascender... form has the ascender height.
\textdagger
Dagger: †.
\textdaggerdbl
Double dagger: ‡.
\textdollar (or $)
Dollar sign: $.
\textemdash (or ---)
Em-dash: — (for punctuation).
\textendash (or --)
En-dash: — (for ranges).
\texteuro
The Euro symbol: e.
\textexclamdown (or !‘)
Upside down exclamation point: ¡.
\textgreater
Greater than: >.
\textless
Less than: <.
\textleftarrow
Left arrow.
\textordfeminine
\textordmasculine
Feminine and masculine ordinal symbols: a, o.
\textperiodcentered
Centered period: ·.
\textquestiondown (or ?‘)
Upside down questionation point: ¿.
\textquotedblleft (or ‘‘)
Double left quote: “.
\textquotedblright (or ’)
Double right quote: ”.
\textquoteleft (or ‘)
Single left quote: ‘.
\textquoteright (or ’)
Single right quote: ’.
Chapter 22: Special insertions 73

\textquotestraightbase
\textquotestraightdblbase
Single and double straight quotes on the baseline.
\textregistered
Registered symbol:
R
.
\textrightarrow
Right arrow.
\textthreequartersemdash
“Three-quarters” em-dash, between en-dash and em-dash.
\texttrademark
Trademark symbol: TM .
\texttwelveudash
“Two-thirds” em-dash, between en-dash and em-dash.
\textunderscore
Underscore: .
\textvisiblespace
Visible space symbol.

22.3 Accents
LATEX has wide support for many of the world’s scripts and languages, through the babel
package and related support. This section does not attempt to cover all that support. It
merely lists the core LATEX commands for creating accented characters.
The \capital... commands produce alternative forms for use with capital letters.
These are not available with OT1.
\"
\capitaldieresis
Produces an umlaut (dieresis), as in ö.
\’
\capitalacute
Produces an acute accent, as in ó. In the tabbing environment, pushes current
column to the right of the previous column (see Section 9.21 [tabbing], page 28).
\. Produces a dot accent over the following, as in ȯ.
\=
\capitalmacron
Produces a macron (overbar) accent over the following, as in ō.
\^
\capitalcircumflex
Produces a circumflex (hat) accent over the following, as in ^o.
\‘
\capitalgrave
Produces a grave accent over the following, as in ò. In the tabbing environment,
move following text to the right margin (see Section 9.21 [tabbing], page 28).
Chapter 22: Special insertions 74

\~
\capitaltilde
Produces a tilde accent over the following, as in n
~.
\b Produces a bar accent under the following, as in o.
¯
\c
\capitalcedilla
Produces a cedilla accent under the following, as in ç.
\d
\capitaldotaccent
Produces a dot accent under the following, as in o..
\H
\capitalhungarumlaut
Produces a long Hungarian umlaut accent over the following, as in ő.
\i Produces a dotless i, as in ‘ı’.
\j Produces a dotless j, as in ‘ȷ’.
\k
\capitalogonek
Produces a letter with ogonek, as in ‘o˛ ’. Not available in the OT1 encoding.
\r
\capitalring
Produces a ring accent, as in ‘o̊’.
\t
\capitaltie
\newtie
\capitalnewtie
Produces a tie-after accent, as in ‘oo’. The \newtie form is centered in its box.
\u
\capitalbreve
Produces a breve accent, as in ‘ŏ’.
\underbar
Not exactly an accent, this produces a bar under the argument text. The argu-
ment is always processed in horizontal mode. The bar is always a fixed position
under the baseline, thus crossing through descenders. See also \underline in
Section 17.6 [Math miscellany], page 59.
\v
\capitalcaron
Produces a háček (check, caron) accent, as in ‘ǒ’.

22.4 Non-English characters

Here are the basic LATEX commands for inserting characters commonly used in languages
other than English.
Chapter 22: Special insertions 75

\aa
\AA å and Å.
\ae
\AE æ and Æ.
\dh
\DH Icelandic letter eth: ð and Ð.
\dj
\DJ xxxx
\ij
\IJ ij and IJ (except somewhat closer together than appears here).
\l
\L l and L.
\ng
\NG xxxx
\o
\O ø and Ø.
\oe
\OE œ and Œ.
\ss
\SS ß and SS.
\th
\TH Icelandic letter thorn: þ and Þ.

22.5 \rule
Synopsis:
\rule[raise]{width}{thickness}
The \rule command produces rules, that is, lines or rectangles. The arguments are:
raise How high to raise the rule (optional).
width The length of the rule (mandatory).
thickness The thickness of the rule (mandatory).

22.6 \today
The \today command produces today’s date, in the format ‘month dd, yyyy’; for example,
‘July 4, 1976’. It uses the predefined counters \day, \month, and \year (see Section 14.8
[\day \month \year], page 45) to do this. It is not updated as the program runs.
The datetime package, among others, can produce a wide variety of other date formats.
Chapter 23: Splitting the input 76

23 Splitting the input

A large document requires a lot of input. Rather than putting the whole input in a single
large file, it’s more efficient to split it into several smaller ones. Regardless of how many
separate files you use, there is one that is the root file; it is the one whose name you type
when you run LATEX.

23.1 \include
Synopsis:
\include{file}
If no \includeonly command is present, the \include command executes \clearpage
to start a new page (see Section 11.2 [\clearpage], page 38), then reads file, then does
another \clearpage.
Given an \includeonly command, the \include actions are only run if file is listed as
an argument to \includeonly. See the next section.
The \include command may not appear in the preamble or in a file read by another
\include command.

23.2 \includeonly
Synopsis:
\includeonly{file1,file2,...}
The \includeonly command controls which files will be read by subsequent \include
commands. The list of filenames is comma-separated. Each file must exactly match a
filename specified in a \include command for the selection to be effective.
This command can only appear in the preamble.

23.3 \input
Synopsis:
\input{file}
The \input command causes the specified file to be read and processed, as if its contents
had been inserted in the current file at that point.
If file does not end in ‘.tex’ (e.g., ‘foo’ or ‘foo.bar’), it is first tried with that exten-
sion (‘foo.tex’ or ‘foo.bar.tex’). If that is not found, the original file is tried (‘foo’ or
‘foo.bar’).
Chapter 24: Front/back matter 77

24 Front/back matter

24.1 Tables of contents

A table of contents is produced with the \tableofcontents command. You put the com-
mand right where you want the table of contents to go; LATEX does the rest for you. A
previous run must have generated a .toc file.
The \tableofcontents command produces a heading, but it does not automatically
start a new page. If you want a new page after the table of contents, write a \newpage
command after the \tableofcontents command.
The analogous commands \listoffigures and \listoftables produce a list of figures
and a list of tables, respectively. Everything works exactly the same as for the table of
contents.
The command \nofiles overrides these commands, and prevents any of these lists from
being generated.

24.1.1 \addcontentsline
The \addcontentsline{ext}{unit}{text} command adds an entry to the specified list or
table where:

ext The extension of the file on which information is to be written, typically one
of: toc (table of contents), lof (list of figures), or lot (list of tables).

unit The name of the sectional unit being added, typically one of the following,
matching the value of the ext argument:

toc The name of the sectional unit: part, chapter, section,

subsection, subsubsection.

lof For the list of figures.

lot For the list of tables.

entry The actual text of the entry.

What is written to the .ext file is the command \contentsline{unit}{name}.

24.1.2 \addtocontents
The \addtocontents{ext}{text} command adds text (or formatting commands) directly
to the .ext file that generates the table of contents or lists of figures or tables.

ext The extension of the file on which information is to be written: toc (table of
contents), lof (list of figures), or lot (list of tables).

text The text to be written.

Chapter 24: Front/back matter 78

24.2 Glossaries
The command \makeglossary enables creating glossaries.
The command \glossary{text} writes a glossary entry for text to an auxiliary file with
the .glo extension.
Specifically, what gets written is the command \glossaryentry{text}{pageno}, where
pageno is the current \thepage value.
The glossary package on CTAN provides support for fancier glossaries.

24.3 Indexes
The command \makeindex enables creating indexes. Put this in the preamble.
The command \index{text} writes an index entry for text to an auxiliary file with the
.idx extension.
Specifically, what gets written is the command \indexentry{text}{pageno}, where
pageno is the current \thepage value.
To generate a index entry for ‘bar’ that says ‘See foo’, use a vertical bar:
\index{bar|see{foo}}. Use seealso instead of see to make a ‘See also’ entry.
The text ‘See’ is defined by the macro \seename, and ‘See also’ by the macro \alsoname.
These can be redefined for other languages.
The generated .idx file is then sorted with an external command, usually either
makeindex (http: / / mirror . ctan . org / indexing / makeindex) or (the multi-lingual)
xindy (http://xindy.sourceforge.net). This results in a .ind file, which can then be
read to typeset the index.
The index is usually generated with the \printindex command. This is defined in the
makeidx package, so \usepackage{makeidx} needs to be in the preamble.
The rubber length \indexspace is inserted before each new letter in the printed index;
its default value is ‘10pt plus5pt minus3pt’.
The showidx package causes each index entries to be shown in the margin on the page
where the entry appears. This can help in preparing the index.
The multind package supports multiple indexes. See also the TEX FAQ entry on this
topic, http://www.tex.ac.uk/cgi-bin/texfaq2html?label=multind.
Chapter 25: Letters 79

25 Letters
You can use LATEX to typeset letters, both personal and business. The letter document
class is designed to make a number of letters at once, although you can make just one if
you so desire.
Your .tex source file has the same minimum commands as the other document classes,
i.e., you must have the following commands as a minimum:
\documentclass{letter}
\begin{document}
... letters ...
\end{document}
Each letter is a letter environment, whose argument is the name and address of the
recipient. For example, you might have:
\begin{letter}{Mr. Joe Smith\\ 2345 Princess St.
\\ Edinburgh, EH1 1AA}
...
\end{letter}
The letter itself begins with the \opening command. The text of the letter follows. It is
typed as ordinary LATEX input. Commands that make no sense in a letter, like \chapter,
do not work. The letter closes with a \closing command.
After the closing, you can have additional material. The \cc command produces the
usual “cc: . . . ”. There’s also a similar \encl command for a list of enclosures. With both
these commands, use \\ to separate the items.
These commands are used with the letter class.

25.1 \address{return-address}
The \address specifies the return address of a letter, as it should appear on the letter and
the envelope. Separate lines of the address should be separated by \\ commands.
If you do not make an \address declaration, then the letter will be formatted for copying
onto your organisation’s standard letterhead. (See Chapter 2 [Overview], page 3, for details
on your local implementation). If you give an \address declaration, then the letter will be
formatted as a personal letter.

25.2 \cc
Synopsis:
\cc{name1\\name2}
Produce a list of names the letter was copied to. Each name is printed on a separate
line.

25.3 \closing
Synopsis:
\closing{text}
A letter closes with a \closing command, for example,
\closing{Best Regards,}
Chapter 25: Letters 80

25.4 \encl
Synopsis:
\encl{line1\\line2}
Declare a list of one more enclosures.

25.5 \location
\location{address}
This modifies your organisation’s standard address. This only appears if the firstpage
pagestyle is selected.

25.6 \makelabels
\makelabels{number}
If you issue this command in the preamble, LATEX will create a sheet of address labels.
This sheet will be output before the letters.

25.7 \name
\name{June Davenport}
Your name, used for printing on the envelope together with the return address.

25.8 \opening{text}
Synopsis:
\opening{text}
A letter begins with the \opening command. The mandatory argument, text, is what-
ever text you wish to start your letter. For instance:
\opening{Dear Joe,}

25.9 \ps
Use the \ps command to start a postscript in a letter, after \closing.

25.10 \signature{text}
Your name, as it should appear at the end of the letter underneath the space for your
signature. \\ starts a new line within text as usual.

25.11 \startbreaks
\startbreaks
Used after a \stopbreaks command to allow page breaks again.

25.12 \stopbreaks
\stopbreaks
Inhibit page breaks until a \startbreaks command occurs.
Chapter 25: Letters 81

25.13 \telephone
\telephone{number}
This is your telephone number. This only appears if the firstpage pagestyle is selected.
Chapter 26: Terminal input/output 82

26 Terminal input/output

26.1 \typein[cmd]{msg}
Synopsis:
\typein[\cmd]{msg}
\typein prints msg on the terminal and causes LATEX to stop and wait for you to type a
line of input, ending with return. If the optional \cmd argument is omitted, the typed input
is processed as if it had been included in the input file in place of the \typein command. If
the \cmd argument is present, it must be a command name. This command name is then
defined or redefined to be the typed input.

26.2 \typeout{msg}
Synopsis:
\typeout{msg}
Prints msg on the terminal and in the log file. Commands in msg that are defined with
\newcommand or \renewcommand (among others) are replaced by their definitions before
being printed.
LATEX’s usual rules for treating multiple spaces as a single space and ignoring spaces
after a command name apply to msg. A \space command in msg causes a single space to
be printed, independent of surrounding spaces. A ^^J in msg prints a newline.
Chapter 27: Command line 83

27 Command line
The input file specification indicates the file to be formatted; TEX uses .tex as a default
file extension. If you omit the input file entirely, TEX accepts input from the terminal. You
specify command options by supplying a string as a parameter to the command; e.g.
latex ’\nonstopmode\input foo.tex’
will process foo.tex without pausing after every error.
If LATEX stops in the middle of the document and gives you a ‘*’ prompt, it is waiting
for input. You can type \stop (and return) and it will prematurely end the document.
Appendix A: Document templates 84

Appendix A Document templates

Although not reference material, perhaps these document templates will be useful. Addi-
tional template resources are listed http://tug.org/interest.html#latextemplates.

A.1 book template

\documentclass{book}
\title{Book Class Template}
\author{Alex Author}

\begin{document}
\maketitle

\chapter{First}
Some text.

\chapter{Second}
Some other text.

\section{A subtopic}
The end.
\end{document}

A.2 beamer template

The beamer class creates slides presentations.
\documentclass{beamer}

\title{Beamer Class template}

\author{Alex Author}
\date{July 31, 2007}

\begin{document}

\maketitle

% without [fragile], any {verbatim} code gets mysterious errors.

\begin{frame}[fragile]
\frametitle{First Slide}

\begin{verbatim}
This is \verbatim!
\end{verbatim}

\end{frame}
Appendix A: Document templates 85

\end{document}
One web resource for this: http://robjhyndman.com/hyndsight/beamer/.

A.3 tugboat template

TUGboat is the journal of the TEX Users Group, http://tug.org/TUGboat.
\documentclass{ltugboat}
\usepackage{graphicx}
\usepackage{ifpdf}
\ifpdf
\usepackage[breaklinks,colorlinks,linkcolor=black,citecolor=black,
urlcolor=black]{hyperref}
\else
\usepackage{url}
\fi

\title{Example \TUB\ article}

% repeat info for each author.

\author{First Last}
\address{Street Address \\ Town, Postal \\ Country}
\netaddress{user (at) example dot org}
\personalURL{http://example.org/~user/}

\begin{document}

\maketitle

\begin{abstract}
This is an example article for \TUB{}.
\end{abstract}

\section{Introduction}

This is an example article for \TUB, from

\url{http://tug.org/TUGboat/location.html}.

We recommend the graphicx package for image inclusions, and the

hyperref package for active url’s (in the \acro{PDF} output).
Nowadays \TUB\ is produced using \acro{PDF} files exclusively.

The \texttt{ltugboat} class provides these abbreviations and many more:

% verbatim blocks are often better in \small

\begin{verbatim}[\small]
\AllTeX \AMS \AmS \AmSLaTeX \AmSTeX \aw \AW
\BibTeX \CTAN \DTD \HTML
Appendix A: Document templates 86

\ISBN \ISSN \LaTeXe

\Mc \mf \MFB \mtex \PCTeX \pcTeX
\PiC \PiCTeX \plain \POBox \PS
\SC \SGML \SliTeX \TANGLE \TB \TP
\TUB \TUG \tug
\UG \UNIX \VAX \XeT \WEB \WEAVE

\Dash \dash \vellipsis \bull \cents \Dag

\careof \thinskip

\acro{FRED} -> {\small[er] fred} % please use!

\cs{fred} -> \fred
\env{fred} -> \begin{fred}
\meta{fred} -> <fred>
\nth{n} -> 1st, 2nd, ...
\sfrac{3/4} -> 3/4
\booktitle{Book of Fred}
\end{verbatim}

For more information, see the ltubguid document at:

\url{http://mirror.ctan.org/macros/latex/contrib/tugboat}
(we recommend using \verb|mirror.ctan.org| for \CTAN\ references).

Email \verb|tugboat@tug.org| if problems or questions.

\bibliographystyle{plain} % we recommend the plain bibliography style

\nocite{book-minimal} % just making the bibliography non-empty
\bibliography{xampl} % xampl.bib comes with BibTeX

\makesignature
\end{document}
Concept Index 87

Concept Index

* black boxes, omitting . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

‘*’ prompt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 bold font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
*-form of defining new commands . . . . . . . . . . . . . . 41 bold typewriter, avoiding . . . . . . . . . . . . . . . . . . . . . . 17
*-form of environment commands . . . . . . . . . . . . . . 42 boxes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
*-form of sectioning commands . . . . . . . . . . . . . . . . 14 brace, left, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
brace, right, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
breaking lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
. breaking pages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
.glo file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 breve accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
.idx file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 breve accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
.ind file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 bug reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
bullet symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
bullet, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
‘ bulleted lists. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
‘see’ and ‘see also’ index entries . . . . . . . . . . . . . . . . 78
C
A calligraphic letters for math . . . . . . . . . . . . . . . . . . . . . 8
abstracts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 cap height . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
accents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 caron accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
accents, mathematical . . . . . . . . . . . . . . . . . . . . . . . . . 58 case sensitivity of LATEX . . . . . . . . . . . . . . . . . . . . . . . . 3
accessing any character of a font . . . . . . . . . . . . . . . 70 cc list, in letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
acute accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 cedilla accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
acute accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 centered asterisk, in text . . . . . . . . . . . . . . . . . . . . . . . 71
ae ligature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 centered period, in text . . . . . . . . . . . . . . . . . . . . . . . . 72
align environment, from amsmath . . . . . . . . . . . . . . . 19 centering text, declaration for . . . . . . . . . . . . . . . . . . 17
aligning equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 centering text, environment for . . . . . . . . . . . . . . . . 17
alignment via tabbing . . . . . . . . . . . . . . . . . . . . . . . . . 28 characters, accented . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
amsmath package, replacing eqnarray . . . . . . . . . 19 characters, non-English . . . . . . . . . . . . . . . . . . . . . . . . 74
appendix, creating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 characters, reserved . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
aring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 check accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
arrays, math. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 check accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
arrow, left, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 circle symbol, big, in text . . . . . . . . . . . . . . . . . . . . . . 71
arrow, right, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 circled letter, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
ascender height . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 circumflex accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
ASCII circumflex, in text . . . . . . . . . . . . . . . . . . . . . . 71 circumflex accent, math. . . . . . . . . . . . . . . . . . . . . . . . 58
ASCII tilde, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 circumflex, ASCII, in text . . . . . . . . . . . . . . . . . . . . . 71
asterisk, centered, in text . . . . . . . . . . . . . . . . . . . . . . 71 class options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
author, for titlepage . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 classes of documents . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
auxiliary file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 closing letters. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
closing quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
code, typesetting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
B command line . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
backslash, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 commands, defining new ones . . . . . . . . . . . . . . . . . . 41
bar, double vertical, in text . . . . . . . . . . . . . . . . . . . . 71 composite word mark, in text . . . . . . . . . . . . . . . . . . 72
bar, vertical, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 computer programs, typesetting . . . . . . . . . . . . . . . . 35
bar-over accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 copyright symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
bar-over accent, math. . . . . . . . . . . . . . . . . . . . . . . . . . 58 counters, a list of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
bar-under accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 counters, defining new . . . . . . . . . . . . . . . . . . . . . . . . . 41
basics of LATEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 counters, getting value of . . . . . . . . . . . . . . . . . . . . . . 44
bibliography, creating (automatically) . . . . . . . . . . 34 counters, setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
bibliography, creating (manually) . . . . . . . . . . . . . . 33 creating letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
bibTEX, using . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 creating pictures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
big circle symbols, in text . . . . . . . . . . . . . . . . . . . . . . 71 creating tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Concept Index 88

credit footnote. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 enlarge current page . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

cross references . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 environments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
cross referencing with page number . . . . . . . . . . . . 15 environments, defining . . . . . . . . . . . . . . . . . . . . . . . . . 42
cross referencing, symbolic . . . . . . . . . . . . . . . . . . . . . 15 equation number, cross referencing . . . . . . . . . . . . . 15
currency, dollar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 equation numbers, omitting . . . . . . . . . . . . . . . . . . . . 19
currency, euro . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 equations, aligning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
equations, environment for . . . . . . . . . . . . . . . . . . . . . 19
es-zet German letter . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
D eth, Icelandic letter . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
dagger, double, in text . . . . . . . . . . . . . . . . . . . . . . . . . 72 euro symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
dagger, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70, 72 exclamation point, upside-down . . . . . . . . . . . . . . . . 72
date, for titlepage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 exponent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
datetime package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
defining a new command. . . . . . . . . . . . . . . . . . . . . . . 41
defining new environments . . . . . . . . . . . . . . . . . . . . . 42 F
defining new fonts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 feminine ordinal symbol . . . . . . . . . . . . . . . . . . . . . . . 72
defining new theorems . . . . . . . . . . . . . . . . . . . . . . . . . 42 figure number, cross referencing . . . . . . . . . . . . . . . . 15
definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 figures, footnotes in . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
description lists, creating . . . . . . . . . . . . . . . . . . . . . . 17 figures, inserting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
dieresis accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 fixed-width font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
discretionary multiplication . . . . . . . . . . . . . . . . . . . . 59 float package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
displaying quoted text with paragraph indentation flushing floats and starting a page. . . . . . . . . . . . . . 38
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 font commands, low-level . . . . . . . . . . . . . . . . . . . . . . . 9
displaying quoted text without paragraph font sizes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
indentation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 font styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
document class options . . . . . . . . . . . . . . . . . . . . . . . . . 5 fonts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
document classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 fonts, new commands for . . . . . . . . . . . . . . . . . . . . . . 43
document templates . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 footer style . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
dollar sign . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 footer, parameters for . . . . . . . . . . . . . . . . . . . . . . . . . . 12
dot accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 footnote number, cross referencing . . . . . . . . . . . . . 15
dot over accent, math. . . . . . . . . . . . . . . . . . . . . . . . . . 58 footnote parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
dot-over accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 footnotes in figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
dot-under accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 footnotes, creating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
dotless i . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 footnotes, symbolic instead of numbered . . . . . . . 39
dotless i, math. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 formulas, environment for . . . . . . . . . . . . . . . . . . . . . . 19
dotless j . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 formulas, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
dotless j, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 fragile commands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
double angle quotation marks . . . . . . . . . . . . . . . . . . 70 French quotation marks. . . . . . . . . . . . . . . . . . . . . . . . 70
double dagger, in text . . . . . . . . . . . . . . . . . . . . . . 70, 72 functions, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
double dot accent, math . . . . . . . . . . . . . . . . . . . . . . . 58
double guillemets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
double left quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 G
double low-9 quotation mark . . . . . . . . . . . . . . . . . . . 71 global options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5, 6
double quote, straight base . . . . . . . . . . . . . . . . . . . . 73 glossaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
double right quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 grave accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
double spacing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 grave accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
double vertical bar, in text . . . . . . . . . . . . . . . . . . . . . 71 greater than symbol, in text . . . . . . . . . . . . . . . . . . . 72
greek letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

E
e-dash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 H
ellipsis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 hacek accent. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
em-dash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 háček accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
em-dash, three-quarters . . . . . . . . . . . . . . . . . . . . . . . . 73 hat accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
em-dash, two-thirds. . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 hat accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
emphasis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7, 8 header style . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
enclosure list . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 header, parameters for . . . . . . . . . . . . . . . . . . . . . . . . . 12
ending & starting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 here, putting floats . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Concept Index 89

hungarian umlaut accent. . . . . . . . . . . . . . . . . . . . . . . 74 line break, forcing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

hyphenation, defining . . . . . . . . . . . . . . . . . . . . . . . . . . 37 line breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
hyphenation, forcing . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 line breaks, forcing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
hyphenation, preventing . . . . . . . . . . . . . . . . . . . . . . . 67 line breaks, preventing . . . . . . . . . . . . . . . . . . . . . . . . . 37
lines in tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
lining numerals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
I lining text up in tables . . . . . . . . . . . . . . . . . . . . . . . . 30
Icelandic eth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 lining text up using tab stops . . . . . . . . . . . . . . . . . . 28
Icelandic thorn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 list items, specifying counter . . . . . . . . . . . . . . . . . . . 44
ij letter, Dutch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 lists of items . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
in-line formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 lists of items, generic . . . . . . . . . . . . . . . . . . . . . . . . . . 23
indent, forcing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 lists of items, numbered. . . . . . . . . . . . . . . . . . . . . . . . 18
indent, suppressing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 loading additional packages . . . . . . . . . . . . . . . . . . . . . 6
indentation of paragraphs, in minipage . . . . . . . . . 24 log file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
indexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 logo, LATEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
input file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 logo, TEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
input/output . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 low-9 quotation marks, single and double . . . . . . 71
inserting figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 low-level font commands . . . . . . . . . . . . . . . . . . . . . . . . 9
italic font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 lR mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
LuaTEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

J
justification, ragged left . . . . . . . . . . . . . . . . . . . . . . . . 22 M
justification, ragged right . . . . . . . . . . . . . . . . . . . . . . 21 macron accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
macron accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . 58
Madsen, Lars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
K makeidx package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
Knuth, Donald E. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 makeindex program . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
making a title page . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
making paragraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
L marginal notes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
labelled lists, creating . . . . . . . . . . . . . . . . . . . . . . . . . . 17 masculine ordinal symbol . . . . . . . . . . . . . . . . . . . . . . 72
Lamport, Leslie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 math accents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
LATEX logo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 math formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
LATEX overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 math functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
LATEX Project team . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 math miscellany . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
layout commands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 math mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
layout, page parameters for . . . . . . . . . . . . . . . . . . . . 12 math mode, entering. . . . . . . . . . . . . . . . . . . . . . . . . . . 49
left angle quotation marks . . . . . . . . . . . . . . . . . . . . . 70 math mode, spacing . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
left arrow, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 math symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
left brace, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 minipage, creating a . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
left quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 modes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
left quote, double . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 monospace font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
left quote, single . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 moving arguments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
left-justifying text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 multicolumn text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
left-justifying text, environment for . . . . . . . . . . . . 21 multind package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
left-to-right mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 multiplication symbol, discretionary line break
lengths, adding to . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
lengths, defining and using . . . . . . . . . . . . . . . . . . . . . 46
lengths, defining new . . . . . . . . . . . . . . . . . . . . . . . . . . 41
lengths, predefined. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 N
lengths, setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 nested \include, not allowed . . . . . . . . . . . . . . . . . . 76
less than symbol, in text . . . . . . . . . . . . . . . . . . . . . . . 72 new commands, defining . . . . . . . . . . . . . . . . . . . . . . . 41
letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 new line, output as input . . . . . . . . . . . . . . . . . . . . . . 36
letters, accented . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 new line, starting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
letters, ending . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 new line, starting (paragraph mode) . . . . . . . . . . . 36
letters, non-English . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 new page, starting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
letters, starting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 non-English characters . . . . . . . . . . . . . . . . . . . . . . . . . 74
Concept Index 90

notes in the margin . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 quoted text with paragraph indentation, displaying

null delimiter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
numbered items, specifying counter . . . . . . . . . . . . 44 quoted text without paragraph indentation,
numerals, old-style . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 displaying . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

O R
oblique font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 ragged left text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
oe ligature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 ragged left text, environment for . . . . . . . . . . . . . . . 21
ogonek . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 ragged right text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
old-style numerals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 ragged right text, environment for . . . . . . . . . . . . . 21
one-column output . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 redefining environments . . . . . . . . . . . . . . . . . . . . . . . . 42
opening quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 registered symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
options, document class . . . . . . . . . . . . . . . . . . . . . . . . . 5 remarks in the margin . . . . . . . . . . . . . . . . . . . . . . . . . 47
options, global . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 reporting bugs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
ordinals, feminine and masculine . . . . . . . . . . . . . . . 72 reserved characters . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
oslash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 right angle quotation marks . . . . . . . . . . . . . . . . . . . . 70
overbar accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 right arrow, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
overdot accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . 58 right brace, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
overview of LATEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 right quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
right quote, double . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
right quote, single . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
P right-justifying text . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
packages, loading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 right-justifying text, environment for . . . . . . . . . . . 21
page break, forcing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 ring accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
page break, preventing . . . . . . . . . . . . . . . . . . . . . . . . . 38 ring accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
page breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 robust commands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
page layout parameters . . . . . . . . . . . . . . . . . . . . . . . . 12 roman font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
page number, cross referencing . . . . . . . . . . . . . . . . . 15 running header and footer . . . . . . . . . . . . . . . . . . . . . 12
page numbering style . . . . . . . . . . . . . . . . . . . . . . . . . . 62 running header and footer style . . . . . . . . . . . . . . . . 62
page styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
paragraph indentation, in minipage . . . . . . . . . . . . 24
paragraph indentations in quoted text . . . . . . . . . 28 S
paragraph indentations in quoted text, omitting sans serif font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 script letters for math . . . . . . . . . . . . . . . . . . . . . . . . . . 8
paragraph mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 section number, cross referencing . . . . . . . . . . . . . . 15
paragraph symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 section numbers, printing . . . . . . . . . . . . . . . . . . . . . . 14
paragraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 section symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
parameters, for footnotes . . . . . . . . . . . . . . . . . . . . . . 40 sectioning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
parameters, page layout . . . . . . . . . . . . . . . . . . . . . . . 12 setspace package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
pdfTEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 setting counters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
period, centered, in text . . . . . . . . . . . . . . . . . . . . . . . 72 sharp S letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
pictures, creating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 showidx package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
pilcrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 simulating typed text . . . . . . . . . . . . . . . . . . . . . . . . . . 35
placement of floats. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 single angle quotation marks . . . . . . . . . . . . . . . . . . . 70
poetry, an environment for . . . . . . . . . . . . . . . . . . . . . 35 single guillemets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
polish l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 single left quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
postscript, in letters . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 single low-9 quotation mark . . . . . . . . . . . . . . . . . . . . 71
pounds symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 single right quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
preamble, defined . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 sizes of text. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
predefined lengths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 slanted font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
prompt, ‘*’ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 small caps font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
space, inserting vertical . . . . . . . . . . . . . . . . . . . . . . . . 65
spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
Q spacing within math mode . . . . . . . . . . . . . . . . . . . . . 59
questionation point, upside-down . . . . . . . . . . . . . . 72 Spanish ordinals, feminine and masculine . . . . . . 72
quotation marks, French . . . . . . . . . . . . . . . . . . . . . . . 70 special characters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
quote, straight base . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 specifier, float placement . . . . . . . . . . . . . . . . . . . . . . . 19
Concept Index 91

splitting the input file . . . . . . . . . . . . . . . . . . . . . . . . . 76 two-column output . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

starting & ending . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 two-thirds em-dash . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
starting a new page . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 typed text, simulating . . . . . . . . . . . . . . . . . . . . . . . . . 35
starting a new page and clearing floats . . . . . . . . . 38 typeface sizes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
starting on a right-hand page . . . . . . . . . . . . . . . . . . 38 typeface styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
sterling symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 typefaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
straight double quote, base . . . . . . . . . . . . . . . . . . . . 73 typewriter font . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
straight quote, base . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 typewriter labels in lists . . . . . . . . . . . . . . . . . . . . . . . 17
stretch, omitting vertical . . . . . . . . . . . . . . . . . . . . . . . 12
styles of text. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
styles, page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 U
subscript . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 umlaut accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
superscript . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 underbar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
symbols, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 underscore, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
unordered lists. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
using BibTEX. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
T
tab stops, using. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
table of contents entry, manually adding . . . . . . . 77
V
table of contents, creating . . . . . . . . . . . . . . . . . . . . . 77 variables, a list of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
tables, creating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 vector symbol, math . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
terminal input/output . . . . . . . . . . . . . . . . . . . . . . . . . 82 verbatim text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
TEX logo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 verbatim text, inline . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
text symbols. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 vertical bar, double, in text . . . . . . . . . . . . . . . . . . . . 71
textcomp package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 vertical bar, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
thanks, for titlepage . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 vertical space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
theorems, defining . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 vertical space before paragraphs . . . . . . . . . . . . . . . 47
theorems, typesetting . . . . . . . . . . . . . . . . . . . . . . . . . . 34 visible space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
thorn, Icelandic letter . . . . . . . . . . . . . . . . . . . . . . . . . . 75 visible space symbol, in text . . . . . . . . . . . . . . . . . . . 73
three-quarters em-dash . . . . . . . . . . . . . . . . . . . . . . . . 73
tie-after accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
tilde accent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 W
tilde accent, math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 wide hat accent, math . . . . . . . . . . . . . . . . . . . . . . . . . 58
tilde, ASCII, in text . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 wide tile accent, math . . . . . . . . . . . . . . . . . . . . . . . . . 58
title pages, creating . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
title, for titlepage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
titles, making . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 X
trademark symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 XeTEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
transcript file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 xindy program . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
Command Index 92

Command Index

$ \@fnsymbol. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
$ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \[ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\^ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
. \^ (circumflex accent) . . . . . . . . . . . . . . . . . . . . . . . . . 73
.aux file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 \_ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
.dvi file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 \‘ (grave accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
.log file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 \‘ (tabbing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
.pdf file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 \\ (for \shortstack objects) . . . . . . . . . . . . . . . . . . 28
.toc file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 \\ (for array) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
\\ (for center) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
\\ (for eqnarray) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
@ \\ (for flushright) . . . . . . . . . . . . . . . . . . . . . . . . . . 21
@{...} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 \\ (tabbing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
\\ for \author. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
\\ for \title . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
[ \\ for flushleft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
\\ for letters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
[...] for optional arguments . . . . . . . . . . . . . . . . . . . 3 \\ for tabular. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
\\ for verse . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
^ \\ force line break . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
\\* (for eqnarray) . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
^ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \| . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\{ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\~ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
_ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \~ (tilde accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\a (tabbing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
\a’ (acute accent in tabbing) . . . . . . . . . . . . . . . . . . 29
\ \a= (macron accent in tabbing) . . . . . . . . . . . . . . . . 29
\ character starting commands . . . . . . . . . . . . . . . . . . 3 \a‘ (grave accent in tabbing) . . . . . . . . . . . . . . . . . . 29
\" (umlaut accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \aa (å) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\# . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 \AA (Å) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\$ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 \acute . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\% . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 \addcontentsline{ext}{unit}{text} . . . . . . . . . 77
\& . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 \address . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
\’ (acute accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \addtocontents{ext}{text} . . . . . . . . . . . . . . . . . . 77
\’ (tabbing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 \addtocounter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
\( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \addtolength . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
\) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \addvspace. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
\* . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \ae (æ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\+ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 \AE (Æ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \aleph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\- . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 \alph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
\- (hyphenation) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 \Alph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
\. (dot-over accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \Alph example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
\/ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 \alpha . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \alsoname . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
\; . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \amalg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\< . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 \and for \author . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
\= (macron accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\= (tabbing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 \appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
\> . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29, 59 \approx . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\> (tabbing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 \arabic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
\@ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 \arccos . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Command Index 93

\arcsin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \capitalring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\arctan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \capitaltie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\arg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \capitaltilde . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\arraycolsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 \caption . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
\arrayrulewidth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 \cc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
\arraystretch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 \cdot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
\ast . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \cdots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
\asymp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \centering. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
\author{name \and name2} . . . . . . . . . . . . . . . . . . . . 62 \chapter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
\b (bar-under accent) . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\backslash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50, 70 \chi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
\bar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 \circ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
\baselineskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 \circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
\baselinestretch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 \cite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
\begin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 \cleardoublepage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
\beta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \clearpage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
\bf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \cline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
\bfseries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \closing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
\bibitem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 \clubsuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
\bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 \columnsep. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
\bibliographystyle . . . . . . . . . . . . . . . . . . . . . . . . . . 34 \columnseprule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
\bigcap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \columnwidth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
\bigcirc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \cong . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
\bigcup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \contentsline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
\bigodot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \coprod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
\bigoplus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \copyright. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\bigotimes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \cos . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\bigskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 \cosh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\bigskipamount . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 \cot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\bigsqcup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \coth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\bigtriangledown . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \csc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\bigtriangleup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \cup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\biguplus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \d (dot-under accent) . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\bigwedge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \dag . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\bmod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \dagger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\boldmath . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \dashbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
\bot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \dashv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\bottomfraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 \date{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
\bottomnumber . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 \day . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
\bowtie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \dblfloatpagefraction . . . . . . . . . . . . . . . . . . . . . . . 11
\Box . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \dblfloatsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
\breve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 \dbltextfloatsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
\bullet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \dbltopfraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
\c (cedilla accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \ddag . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\cal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \ddagger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\cap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 \ddot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\capitalacute . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \ddots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
\capitalbreve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \deg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\capitalcaron . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \delta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\capitalcedilla . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \Delta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\capitalcircumflex . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \depth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
\capitaldieresis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \det . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\capitaldotaccent. . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \dh (æ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\capitalgrave . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \DH (Æ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\capitalhungarumlaut . . . . . . . . . . . . . . . . . . . . . . . . 74 \diamond . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\capitalmacron . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \Diamond . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\capitalnewtie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \diamondsuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\capitalogonek . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \dim . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Command Index 94

\displaystyle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 \fussy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
\div . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \gamma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\dj . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \Gamma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\DJ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \gcd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\documentclass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 \ge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\dot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 \geq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\doteq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \gets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\dotfill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 \gg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\dots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 \glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
\doublerulesep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 \glossaryentry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
\downarrow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \grave . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\Downarrow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \guillemotleft («) . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\ell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \guillemotright (») . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\em . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \guilsinglleft (‹) . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\emph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \guilsinglright (›) . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\emptyset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \H (Hungarian umlaut accent) . . . . . . . . . . . . . . . . . 74
\encl . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 \hat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\end . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 \hbar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\enlargethispage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 \headheight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
\enumi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \headsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
\enumii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \heartsuit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
\enumiii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \height . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
\enumiv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \hfill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
\epsilon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \hline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
\equiv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \hom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\eta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \hookleftarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\evensidemargin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 \hookrightarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\exists . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \hrulefill. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
\exp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \hsize . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
\extracolsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 \hspace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
\fbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 \huge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\fboxrule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26, 67 \Huge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\fboxsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26, 67 \hyphenation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
\fill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 \i (dotless i) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\flat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \iff . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\floatpagefraction . . . . . . . . . . . . . . . . . . . . . . . . . . 20 \ij (ij) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\floatsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 \IJ (IJ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\flushbottom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 \Im . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\fnsymbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 \imath . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\fnsymbol, and footnotes . . . . . . . . . . . . . . . . . . . . . . 39 \in . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\fontencoding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 \include . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
\fontfamily. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 \includeonly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
\fontseries. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 \indent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
\fontshape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 \index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
\fontsize . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 \indexentry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
\footnote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 \inf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\footnotemark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 \infty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\footnoterule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 \input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
\footnotesep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 \int . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\footnotesize . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \intextsep. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
\footnotetext . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 \iota . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
\footskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 \it . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\forall . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \item . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17, 18, 22
\frac . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \itemindent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
\frac{num}{den} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \itemsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
\frame . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 \itshape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\framebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26, 67 \j (dotless j) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\frown . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 \jmath . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
Command Index 95

\Join . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \linewidth. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
\k (ogonek) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \listoffigures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
\kappa . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \listoftables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
\ker . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \listparindent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
\kill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 \ll . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\l (␣l) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \ln . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
␣L). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\L ( \lnot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\label . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 \location . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
\labelenumi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \log . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\labelenumii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \longleftarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\labelenumiii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \longleftrightarrow . . . . . . . . . . . . . . . . . . . . . . . . . 53
\labelenumiv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 \longmapsto . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\labelitemi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \longrightarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\labelitemii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \lor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\labelitemiii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \lq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\labelitemiv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \makebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
\labelsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \makebox (picture) . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
\labelwidth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 \makeglossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
\lambda . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \makeindex. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
\Lambda . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \makelabels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
\land . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \maketitle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
\langle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mapsto . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\large . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \marginpar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
\Large . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \marginparpush . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
\LARGE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \marginparsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
\LaTeX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 \marginparwidth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
\lbrace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \markboth{left}{right} . . . . . . . . . . . . . . . . . . . . . . 63
\lbrack . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \markright{right}. . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
\lceil . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mathbf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\ldots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 \mathcal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\le . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mathnormal. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\leadsto . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mathring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\left delim1 ... \right delim2 . . . . . . . . . . . . . . 59 \mathrm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\leftarrow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mathsf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\Leftarrow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mathtt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\lefteqn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 \mathversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\leftharpoondown . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \max . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\leftharpoonup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
\leftmargin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \mdseries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\leftmargini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \medskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
\leftmarginii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \medskipamount . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
\leftmarginiii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \mho . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\leftmarginiv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \mid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\leftmarginv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \min . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\leftmarginvi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 \models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\leftrightarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \month . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
\Leftrightarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\leq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \mu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\lfloor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 \multicolumn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
\lg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \multiput . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
\lhd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \nabla . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\lim . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \name . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
\liminf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \natural . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\limsup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 \ne . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\line . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 \nearrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\linebreak. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 \neg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\linespread . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 \neq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
\linethickness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 \newcommand . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
Command Index 96

\newcounter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 \parskip example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

\newenvironment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 \part . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
\newfont . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 \partial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\newlength. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 \partopsep. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
\newline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 \perp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\NEWLINE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 \phi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\newpage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 \pi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\newsavebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 \Pi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\newtheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 \pm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\newtie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 \pmod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\ng . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \poptabs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
\NG . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \pounds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\ni . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \Pr . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\nocite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 \prec . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\nofiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 \preceq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\noindent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 \prime . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\nolinebreak . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 \prod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\nonumber . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 \propto . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\nopagebreak . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 \protect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
\normalfont. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \ps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
\normalmarginpar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 \psi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\normalsize. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \Psi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\not . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \pushtabs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
\notin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \put . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
\nu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \quotedblbase („) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\nwarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \quotesinglbase (‚) . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\o (ø). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \r (ring accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\O (Ø). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \raggedbottom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
\obeycr . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 \raggedleft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
\oddsidemargin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 \raggedright . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
\odot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \raisebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
\oe (œ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \rangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\OE (Œ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \rbrace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\oint . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \rbrack . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\oldstylenums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \rceil . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\omega . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \Re . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\Omega . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \ref . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
\ominus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 \refstepcounter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
\onecolumn. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 \renewenvironment. . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
\opening . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 \restorecr. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
\oplus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 \reversemarginpar. . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
\oslash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 \rfloor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\otimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 \rhd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\oval . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 \rho . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\overbrace{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \right . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
\overline{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \rightarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\owns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 \Rightarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\P . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 \rightharpoondown. . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\pagebreak. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 \rightharpoonup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
\pagenumbering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 \rightleftharpoons . . . . . . . . . . . . . . . . . . . . . . . . . . 55
\pageref . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 \rightmargin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
\pagestyle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 \rm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\paragraph. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 \rmfamily . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\parallel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 \roman . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
\parbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 \rq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\parindent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24, 47 \rule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
\parsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 \S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\parskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 \savebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
Command Index 97

\sbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 \sup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\sc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \supset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
\scriptsize. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \supseteq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
\scshape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \surd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
\searrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \swarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\sec . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 \symbol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 \t (tie-after accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\seename . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 \TAB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
\selectfont . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 \tabbingsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
\setcounter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 \tabcolsep. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
\setlength. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 \tableofcontents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
\setminus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \tan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\settodepth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 \tanh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\settoheight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 \tau . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\settowidth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 \telephone. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
\sf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \TeX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\sffamily . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \textascenderwordmark . . . . . . . . . . . . . . . . . . . . . . . 72
\sharp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textasciicircum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\shortstack . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 \textasciitilde . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\sigma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textasteriskcentered . . . . . . . . . . . . . . . . . . . . . . . 71
\Sigma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textbackslash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\signature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 \textbar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\sim . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textbardbl . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\simeq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textbf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\sin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 \textbigcircle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\sinh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 \textbraceleft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\sl . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \textbraceright . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\slshape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \textbullet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\small . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 \textcapitalwordmark . . . . . . . . . . . . . . . . . . . . . . . . 72
\smallint . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textcircled{letter} . . . . . . . . . . . . . . . . . . . . . . . . 71
\smallskip. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 \textcompwordmark. . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\smallskipamount . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 \textcopyright . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
\smile . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textdagger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\SPACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 \textdaggerdbl . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\spadesuit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textdollar (or $) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\sqcap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textellipsis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\sqcup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textemdash (or ---) . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\sqrt[root]{arg} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 \textendash (or --) . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\sqsubset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \texteuro . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\sqsubseteq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textexclamdown (or !‘) . . . . . . . . . . . . . . . . . . . . . . 72
\sqsupset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textfloatsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
\sqsupseteq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textfraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
\SS (SS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \textgreater . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\ss (ß) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \textheight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
\stackrel{text}{relation} . . . . . . . . . . . . . . . . . . 59 \textit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\star . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textleftarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\startbreaks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 \textless . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\stepcounter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 \textmd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\stop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 \textnormal. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\stopbreaks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 \textordfeminine . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\subparagraph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 \textordmasculine. . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
\subsection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 \textparagraph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
\subset . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textperiodcentered . . . . . . . . . . . . . . . . . . . . . . . . . 72
\subseteq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textquestiondown (or ?‘) . . . . . . . . . . . . . . . . . . . . 72
\subsubsection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 \textquotedblleft (or ‘‘) . . . . . . . . . . . . . . . . . . . . 72
\succ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textquotedblright (or ’) . . . . . . . . . . . . . . . . . . . . 72
\succeq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textquoteleft (or ‘). . . . . . . . . . . . . . . . . . . . . . . . . 72
\sum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 \textquoteright (or ’) . . . . . . . . . . . . . . . . . . . . . . . 72
Command Index 98

\textquotestraightbase . . . . . . . . . . . . . . . . . . . . . . 73 \Updownarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textquotestraightdblbase . . . . . . . . . . . . . . . . . . 73 \uplus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textregistered . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \upshape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\textrightarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \upsilon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textrm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \Upsilon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textsc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \usebox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
\textsf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \usecounter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
\textsl . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \usefont . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
\textsterling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 \usepackage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
\textthreequartersemdash . . . . . . . . . . . . . . . . . . . 73 \v (breve accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\texttrademark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
\texttt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \varepsilon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\texttwelveudash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \varphi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textunderscore . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \varpi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 \varrho . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textvisiblespace. . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 \varsigma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\textwidth. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 \vartheta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\th (þ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \vdash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\TH (Þ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \vdots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
\thanks{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 \vec . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\theta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 \vector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
\thicklines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
\vee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\thinlines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
\verb . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
\thinspace. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
\vert . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\thispagestyle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
\Vert . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\tilde . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\vfill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
\times . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\vline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
\tiny . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\vspace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
\title{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
\wedge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\to . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\today . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 \widehat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
\top . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 \width . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
\topfraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 \wp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\topmargin. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 \wr . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\topnumber. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 \xi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\topsep . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 \Xi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\topskip . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 \year . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
\totalheight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 \zeta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
\totalnumber . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
\triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
\triangleleft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 |
\triangleright . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 {...} for required arguments . . . . . . . . . . . . . . . . . . . 3
\tt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
\ttfamily . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
\twocolumn. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1
\typein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 10pt option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
\typeout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 11pt option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
\u (breve accent) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 12pt option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
\unboldmath . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
\underbar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
\underbrace{math}. . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
\underline{text} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
A
\unitlength . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 a4paper option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
\unlhd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 a5paper option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
\unrhd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 abstract environment . . . . . . . . . . . . . . . . . . . . . . . . . 16
\uparrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 array environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
\Uparrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 article class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
\updownarrow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Command Index 99

B N
b5paper option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 notitlepage option. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
book class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

C O
onecolumn option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
center environment . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 oneside option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
openany option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
D openbib option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
openright option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
description environment . . . . . . . . . . . . . . . . . . . . . 17
displaymath environment . . . . . . . . . . . . . . . . . . 17, 49
document environment . . . . . . . . . . . . . . . . . . . . . . . . . 18
draft option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
P
pdflatex command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
picture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
E printindex. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
enumerate environment . . . . . . . . . . . . . . . . . . . . . . . . 18
eqnarray environment . . . . . . . . . . . . . . . . . . . . . . . . . 19
equation environment . . . . . . . . . . . . . . . . . . . . . 19, 49 Q
executivepaper option . . . . . . . . . . . . . . . . . . . . . . . . . 5 quotation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
quote . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

F
figure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 R
final option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 report class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
fleqn option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
flushleft environment . . . . . . . . . . . . . . . . . . . . . . . . 21
flushright environment . . . . . . . . . . . . . . . . . . . . . . . 21 S
secnumdepth counter . . . . . . . . . . . . . . . . . . . . . . . . . . 14
I slides class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
indexspace. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
itemize environment . . . . . . . . . . . . . . . . . . . . . . . . . . 22 T
tabbing environment . . . . . . . . . . . . . . . . . . . . . . . . . . 28
L table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
tabular environment . . . . . . . . . . . . . . . . . . . . . . . . . . 30
landscape option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
latex command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 textcomp package . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
latexrefman-discuss@gna.org email address . . . 2 thebibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
legalpaper option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 theorem environment . . . . . . . . . . . . . . . . . . . . . . . . . . 34
leqno option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 titlepage environment . . . . . . . . . . . . . . . . . . . . . . . . 34
letter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 titlepage option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
letter class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 twocolumn option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
letterpaper option. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 twoside option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
list . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
lR box. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
lrbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 V
lualatex command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 verbatim environment . . . . . . . . . . . . . . . . . . . . . . . . . 35
verse environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
M
math environment . . . . . . . . . . . . . . . . . . . . . . . . . . 24, 49 X
minipage environment . . . . . . . . . . . . . . . . . . . . . . . . . 24 xelatex command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3