The Not So Short Introduction to LATEX 2ε

Tobias Oetiker, Hubert Partl, Irene Hyna, Elisabeth Schlegl

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11

Copyright ©1995-2016 Tobias Oetiker and Contributors. All rights reserved.

This document is free; you can redistribute it and/or modify it under the termsof the GNU General Public License as published by the Free Software Foundation;either version 2 of the License, or (at your option) any later version.

This document is distributed in the hope that it will be useful, but withoutany warranty, without even the implied warranty of merchantability or fitness for aparticular purpose. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along withthis document; if not, write to the Free Software Foundation, Inc., 675 Mass Ave,Cambridge, MA 02139, USA.

Thank you!

Much of the material used in this introduction comes from an Austrianintroduction to ET^X 2.09 written in German by:

Hubert Parti <partl@mail.boku.ac.at>

Zentraler Informatikdienst der Universitat fur Bodenkultur WienIrene Hyna <Irene.HynaSbmwf.ac.at>

Bundesministerium fur Wissenschaft und Forschung WienElisabeth Schlegl <noemail>in Graz

If you are interested in the German document, you can find a versionupdated for ET^X2g- by Jorg Knappen at CTAN://info/lshort/german

IV

Thank you!

The following individuals helped with corrections, suggestions and materialto improve this paper. They put in a big effort to help me get this documentinto its present shape. I would like to sincerely thank all of them. Naturally,all the mistakes you’ll find in this book are mine. If you ever find a wordthat is spelled correctly, it must have been one of the people below droppingme a line.

If you want to contribute to this booklet, you can find all the sourcecode on https://github.com/oetiker/lshort. Your pull requests will beappreciated.

Eric Abrahamsen, Lenimar Nunes de Andrade, Eilinger August, Rosemary Bailey,Barbara Beeton, Marc Bevand, Connor Blakey, Salvatore Bonaccorso, Pietro Braione,Friedemann Brauer, Markus Briihwiler, Jan Busa, David Carlisle, Neil Carter,

Carl Cerecke, Mike Chapman, Pierre Chardaire, Xingyou Chen, Christopher Chin,

Diego Clavadetscher, Wim van Dam, Benjamin Deschwanden Jan Dittberner,Michael John Downes, Matthias Dreier, David Dureisseix, Hans Ehrbar, Elliot, Rock-rush Engch, William Faulk, Robin Fairbairns, Johan Falk, Jorg Fischer, Frank Fis-chli, Daniel Flipo, Frank, Mic Milic Fredericks, David Frey, Erik Frisk, Hans Fugal,Robert Funnell, Greg Gamble, Andy Goth, Cyril Goutte, Kasper B. Graversen,

Arlo Griffiths, Alexandre Guimond, Neil Hammond, Christoph Hamburger, Ras-mus Borup Hansen, Joseph Hilferty, Daniel Hirsbrunner, Martien Hulsen, BjornHvittfeldt, Morten Hpgholm, Werner Icking, Eric Jacoboni, Jakob, Alan Jeffrey, Mar-tin Jenkins, Byron Jones, David Jones, Johannes-Maria Kaltenbach, Nils Kanning,Andrzej Kawalec, Christian Kern, Alain Kessi, Axel Kielhorn, Sander de Kievit,

Kjetil Kjernsmo, Tobias Klauser, Jorg Knappen, Michael Koundouros, Matt Kraai,Tobias Krewer, Flori Lambrechts, Mike Lee, Maik Lehradt, Remi Letot, Axel Liljen-crantz, Jasper Loy, Johan Lundberg, Martin Maechler, Alexander Mai, Claus Malten,Kevin Van Maren, Pablo Markin, I. J. Vera Martin, Hendrik Maryns, Chris Mc-Cormack, Aleksandar S. Milosevic, Henrik Mitsch, Stefan M. Moser, Armin Muller,Philipp Nagele, Richard Nagy, Manuel Oetiker, Urs Oswald, Hubert Parti, Marcelo Pasin,Martin Pfister, Lan Thuy Pham, Breno Pietracci, Demerson Andre Polli, Maksym Polyakov,Nikos Pothitos, John Refling, Mike Ressler, Brian Ripley, Kurt Rosenfeld, Bernd Rosen-lecher, Chris Rowley, Young U. Ryu, Risto Saarelma, Andras Salamon, Jose Car-los Santos, Christopher Sawtell, Gilles Schintgen, Craig Schlenter, Hanspeter Schmid,

Baron Schwartz, Jordi Serra i Solaniclr, Miles Spielberg, Susan Stewart, Matthieu Stigler,Geoffrey Swindale, Laszlo Szathmary, Boris Tobotras, Josef Tkadlec, Scott Veirs,Didier Verna, Carl-Gustav Werner, Fabian Wernli, Matthew Widmann, David Wood-house, Chris York, Rick Zaccone, Fritz Zaucker, and Mikhail Zotov.

Preface

RTgX [ ] is a typesetting system that is very suitable for producing scientificand mathematical documents of high typographical quality. It is also suitablefor producing all sorts of other documents, from simple letters to completebooks. DTeX uses T^X [ ] as its formatting engine.

This short introduction describes and should be sufficient for

most applications of RT^X. Refer to [1, 3] for a complete description of theRTgX system.

This introduction is split into 6 chapters:

Chapter 1 tells you about the basic structure of RT^X2£ documents. Youwill also learn a bit about the history of RTgX. After reading thischapter, you should have a rough understanding how RT^X works.

Chapter 2 goes into the details of typesetting your documents. It explainsmost of the essential RTgX commands and environments. After readingthis chapter, you will be able to write your first documents.

Chapter 3 explains how to typeset formulae with RTeX. Many examplesdemonstrate how to use one of RT^X’s main strengths. At the endof the chapter are tables listing all mathematical symbols available inDTEX.

Chapter 4 explains indexes, bibliography generation and inclusion of EPSgraphics. It introduces creation of PDF documents with pdfRT^X andpresents some handy extension packages.

Chapter 5 shows how to use RT^X for creating graphics. Instead of drawinga picture with some graphics program, saving it to a file and thenincluding it into DTgX, you describe the picture and have DTgX drawit for you.

Chapter 6 contains some potentially dangerous information about how toalter the standard document layout produced by RT^X. It will tell youhow to change things such that the beautiful output of RT^X turnsugly or stunning, depending on your abilities.

VI

Preface

It is important to read the chapters in order—the book is not that big, afterall. Be sure to carefully read the examples, because a lot of the informationis in the examples placed throughout the book.

ET^X is available for most computers, from the PC and Mac to large UNIXand VMS systems. On many university computer clusters you will find thata UT[h]X installation is available, ready to use. Information on how to accessthe local EY^X installation should be provided in the Local Guide [5]. If youhave problems getting started, ask the person who gave you this booklet.The scope of this document is not to tell you how to install and set up aETf^X system, but to teach you how to write your documents so that theycan be processed by ET^X.

If you need to get hold of any EYj^X related material, have a look at one ofthe Comprehensive T^]X Archive Network (CTAN) sites. The homepage isat http://www.ctan.org.

You will find other references to CTAN throughout the book, especiallypointers to software and documents you might want to download. Instead ofwriting down complete urls, I just wrote CTAN: followed by whatever locationwithin the CTAN tree you should go to.

If you want to run ET^X on your own computer, take a look at what isavailable from CTAN: //systems.

If you have ideas for something to be added, removed or altered in thisdocument, please let me know. I am especially interested in feedback fromEYfj]X novices about which bits of this intro are easy to understand andwhich could be explained better.

Tobias Oetiker <tobi@oetiker. ch>

OETIKER+PARTNER AGAarweg 154600 OltenSwitzerland

The current version of this document is available onCTAN://info/lshort

Contents

Thank you! iii

Preface v

1 Things You Need to Know 1

1.1 The Name of the Game 1

1.1.1 T^X 1

1.1.2 PTgX 2

1.2 Basics 2

1.2.1 Author, Book Designer, and Typesetter 2

1.2.2 Layout Design 2

1.2.3 Advantages and Disadvantages 3

1.3 DT^X Input Files 4

1.3.1 Spaces 4

1.3.2 Special Characters 5

1.3.3 DTgX Commands 5

1.3.4 Comments 6

1.4 Input File Structure 7

1.5 A Typical Command Line Session 7

1.6 The Layout of the Document 9

1.6.1 Document Classes 9

1.6.2 Packages 10

1.6.3 Page Styles 13

1.7 Files You Might Encounter 13

1.8 Big Projects 14

2 Typesetting Text 17

2.1 The Structure of Text and Language 17

2.2 Line Breaking and Page Breaking 19

2.2.1 Justified Paragraphs 19

2.2.2 Hyphenation 20

2.3 Ready-Made Strings 21

2.4 Special Characters and Symbols 21

Vlll

CONTENTS

2.4.1 Quotation Marks 21

2.4.2 Dashes and Hyphens 22

2.4.3 Tilde (~) 22

2.4.4 Slash (/) 22

2.4.5 Degree Symbol (o) 22

2.4.6 The Euro Currency Symbol (€) 23

2.4.7 Ellipsis (...) 23

2.4.8 Ligatures 24

2.4.9 Accents and Special Characters 24

2.5 International Language Support 24

2.5.1 Support for Portuguese 27

2.5.2 Support for French 28

2.5.3 Support for German 29

2.5.4 Support for Korean 30

2.5.5 Writing in Greek 31

2.5.6 Support for Cyrillic 32

2.5.7 Support for Mongolian 33

2.5.8 The Unicode option 34

2.6 The Space Between Words 38

2.7 Titles, Chapters, and Sections 38

2.8 Cross References 41

2.9 Footnotes 41

2.10 Emphasized Words 42

2.11 Environments 42

2.11.1 Itemize, Enumerate, and Description 42

2.11.2 Flushleft, Flushright, and Center 43

2.11.3 Quote, Quotation, and Verse 44

2.11.4 Abstract 44

2.11.5 Printing Verbatim 45

2.11.6 Tabular 45

2.12 Floating Bodies 48

2.13 Protecting Fragile Commands 51

3 Typesetting Mathematical Formulae 53

3.1 The ^Iyvi5-DT^X bundle 53

3.2 Single Equations 53

3.2.1 Math Mode 55

3.3 Building Blocks of a Mathematical Formula 56

3.4 Single Equations that are Too Long: multline 61

3.5 Multiple Equations 62

3.5.1 Problems with Traditional Commands 62

3.5.2 IEEEeqnarray Environment 64

3.5.3 Common Usage 65

3.6 Arrays and Matrices 67

CONTENTS

IX

3.7 Spacing in Math Mode 69

3.7.1 Phantoms 70

3.8 Fiddling with the Math Fonts 70

3.8.1 Bold Symbols 71

3.9 Theorems, Lemmas, 71

3.9.1 Proofs and End-of-Proof Symbol 72

3.10 List of Mathematical Symbols 75

4 Specialities 83

4.1 Including Encapsulated PostScript 83

4.2 Bibliography 85

4.3 Indexing 86

4.4 Fancy Headers 87

4.5 The Verbatim Package 89

4.6 Installing Extra Packages 89

4.7 Working with pdfET^X 90

4.7.1 PDF Documents for the Web 91

4.7.2 The Fonts 92

4.7.3 Using Graphics 93

4.7.4 Hypertext Links 93

4.7.5 Problems with Links 96

4.7.6 Problems with Bookmarks 96

4.7.7 Source Compatibility Between ET^X and pdfETEX . . 97

4.8 Working with XgET^X 98

4.8.1 The Fonts 98

4.8.2 Compatibility Between XgET^X and pdfETEX .... 100

4.9 Creating Presentations 100

5 Producing Mathematical Graphics 105

5.1 Overview 105

5.2 The picture Environment 106

5.2.1 Basic Commands 106

5.2.2 Line Segments 107

5.2.3 Arrows 108

5.2.4 Circles 109

5.2.5 Text and Formulas 110

5.2.6 \multiput and \linethickness 110

5.2.7 Ovals Ill

5.2.8 Multiple Use of Predefined Picture Boxes 112

5.2.9 Quadratic Bezier Curves 113

5.2.10 Catenary 114

5.2.11 Rapidity in the Special Theory of Relativity 115

5.3 The PGF and TikZ Graphics Packages 115

X

CONTENTS

6 Customising lAT^X 119

6.1 New Commands, Environments and Packages 119

6.1.1 New Commands 120

6.1.2 New Environments 121

6.1.3 Extra Space 121

6.1.4 Commandline BT^X 122

6.1.5 Your Own Package 123

6.2 Fonts and Sizes 123

6.2.1 Font Changing Commands 123

6.2.2 Danger, Will Robinson, Danger 126

6.2.3 Advice 127

6.3 Spacing 127

6.3.1 Line Spacing 127

6.3.2 Paragraph Formatting 128

6.3.3 Horizontal Space 129

6.3.4 Vertical Space 130

6.4 Page Layout 131

6.5 More Fun With Lengths 133

6.6 Boxes 133

6.7 Rules 135

A Installing 137

A.l What to Install 137

A.2 Cross Platform Editor 137

A.3 T^X on Mac OS X 138

A.3.1 TgX Distribution 138

A.3.2 OSX TeX Editor 138

A.3.3 Treat yourself to PDFView 138

A.4 T^X on Windows 138

A.4.1 Getting T^X 138

A.4.2 A DT^X editor 139

A.4.3 Document Preview 139

A.4.4 Working with graphics 139

A.5 T^X on Linux 139

Bibliography 141

Index

144

List of Figures

1.1 A Minimal IAI^X File 7

1.2 Example of a Realistic Journal Article 8

4.1 Example fancyhdr Setup 88

4.2 Sample code for the beamer class 101

6.1 Example Package 123

6.2 Layout parameters for this book 132

List of Tables

1.1 Document Classes 10

1.2 Document Class Options 11

1.3 Some of the Packages Distributed with DT^X 12

1.4 The Predefined Page Styles of PT^X 13

2.1 A bag full of Euro symbols 23

2.2 Accents and Special Characters 25

2.3 Preamble for Portuguese documents 28

2.4 Special commands for French 29

2.5 German Special Characters 29

2.6 Preamble for Greek documents 31

2.7 Greek Special Characters 32

2.8 Bulgarian, Russian, and Ukrainian 33

2.9 Float Placing Permissions 49

3.1 Math Mode Accents 75

3.2 Greek Letters 75

3.3 Binary Relations 76

3.4 Binary Operators 76

3.5 BIG Operators 77

3.6 Arrows 77

3.7 Arrows as Accents 77

3.8 Delimiters 78

3.9 Large Delimiters 78

3.10 Miscellaneous Symbols 78

3.11 Non-Mathematical Symbols 78

3.12 Aj^{S Delimiters 79

3.13 Aj^[S Greek and Hebrew 79

3.14 Math Alphabets 79

3.15 Aj\y[S Binary Operators 79

3.16 A_mS Binary Relations 80

3.17 Aj\y[S Arrows 81

3.18 Ajv[S Negated Binary Relations and Arrows 82

XIV

LIST OF TABLES

3.19 Aj\/iS Miscellaneous 82

4.1 Key Names for graphicx Package 84

4.2 Index Key Syntax Examples 87

6.1 Fonts 124

6.2 Font Sizes 124

6.3 Absolute Point Sizes in Standard Classes 125

6.4 Math Fonts 125

6.5 T^X Units 130

Chapter 1

Things You Need to Know

The first part of this chapter presents a short overview of the philosophy andhistory of |ATeX2£. The second part focuses on the basic structures of a I^T^Xdocument. After reading this chapter, you should have a rough knowledge ofhow lAT^X works, which you will need to understand the rest of this book.

1.1 The Name of the Game

1.1.1 TgX

T^X is a computer program created by Donald E. Knuth [2]. It is aimed attypesetting text and mathematical formulae. Knuth started writing the T^Xtypesetting engine in 1977 to explore the potential of the digital printingequipment that was beginning to infiltrate the publishing industry at thattime, especially in the hope that he could reverse the trend of deterioratingtypographical quality that he saw affecting his own books and articles. T^Xas we use it today was released in 1982, with some slight enhancements addedin 1989 to better support 8-bit characters and multiple languages. T^X isrenowned for being extremely stable, for running on many different kinds ofcomputers, and for being virtually bug free. The version number of TgX isconverging to it and is now at 3.141592653.

TgX is pronounced “Tech,” with a “ch” as in the German word “Ach”1 orin the Scottish “Loch.” The “ch” originates from the Greek alphabet whereX is the letter “ch” or “chi”. T[h]X is also the first syllable of the Greek wordT£)(vixirj (technique). In an ASCII environment, T^X becomes TeX.

1In german there are actually two pronunciations for “ch” and one might assume thatthe soft “ch” sound from “Pech” would be a more appropriate. Asked about this, Knuthwrote in the German Wikipedia: I do not get angry when people pronounce Tj^X in theirfavorite way ... and in Germany many use a soft ch because the X follows the vowel e, notthe harder ch that follows the vowel a. In Russia, ‘tex’ is a very common word, pronounced‘tyekh’. But I believe the most proper pronunciation is heard in Greece, where you have theharsher ch of ach and Loch.

2

Things You Need to Know

1.1.2 ETfeX

LT^X enables authors to typeset and print their work at the highest typo-graphical quality, using a predefined, professional layout. IAT^X was originallywritten by Leslie Lamport [1]. It uses the T^X formatter as its typesettingengine. These days IXTjrX is maintained by Frank Mittelbach.

BTJ^X is pronounced “Lay-tech” or “Lah-tech.” If you refer to LT^X inan ASCII environment, you type LaTeX. UT^]X2£ is pronounced “Lay-techtwo e” and typed LaTeX2e.

1.2 Basics

1.2.1 Author, Book Designer, and Typesetter

To publish something, authors give their typed manuscript to a publishingcompany. One of their book designers then decides the layout of the document(column width, fonts, space before and after headings, ...). The book designerwrites his instructions into the manuscript and then gives it to a typesetter,who typesets the book according to these instructions.

A human book designer tries to find out what the author had in mindwhile writing the manuscript. He decides on chapter headings, citations,examples, formulae, etc. based on his professional knowledge and from thecontents of the manuscript.

In a LT^X environment, LT^X takes the role of the book designer anduses Tf^X as its typesetter. But IAI^X is “only” a program and thereforeneeds more guidance. The author has to provide additional information todescribe the logical structure of his work. This information is written intothe text as “L'TgX commands.”

This is quite different from the WYSIWYG2 approach that most modernword processors, such as MS Word or LibreOffice, take. With these applica-tions, authors specify the document layout interactively while typing textinto the computer. They can see on the screen how the final work will lookwhen it is printed.

When using LT^X it is not normally possible to see the final output whiletyping the text, but the final output can be previewed on the screen afterprocessing the file with BT^X. Then corrections can be made before actuallysending the document to the printer.

1.2.2 Layout Design

Typographical design is a craft. Unskilled authors often commit seriousformatting errors by assuming that book design is mostly a question ofaesthetics—“If a document looks good artistically, it is well designed.” But

2What you see is what you get.

1.2 Basics

3

as a document has to be read and not hung up in a picture gallery, thereadability and understandability is much more important than the beautifullook of it. Examples:

• The font size and the numbering of headings have to be chosen to makethe structure of chapters and sections clear to the reader.

• The line length has to be short enough not to strain the eyes of thereader, while long enough to fill the page beautifully.

With WYSIWYG systems, authors often generate aesthetically pleasingdocuments with very little or inconsistent structure. ETgX prevents suchformatting errors by forcing the author to declare the logical structure of hisdocument. ET^X then chooses the most suitable layout.

1.2.3 Advantages and Disadvantages

When people from the WYSIWYG world meet people who use ETgX, theyoften discuss “the advantages of ETgX over a normal word processor” or theopposite. The best thing to do when such a discussion starts is to keep a lowprofile, since such discussions often get out of hand. But sometimes there isno escaping ...

So here is some ammunition. The main advantages of ETgX over normalword processors are the following:

• Professionally crafted layouts are available, which make a documentreally look as if “printed.”

• The typesetting of mathematical formulae is supported in a convenientway.

• Users only need to learn a few easy-to-understand commands thatspecify the logical structure of a document. They almost never need totinker with the actual layout of the document.

• Even complex structures such as footnotes, references, table of contents,and bibliographies can be generated easily.

• Free add-on packages exist for many typographical tasks not directlysupported by basic ET^X. For example, packages are available toinclude PostScript graphics or to typeset bibliographies conformingto exact standards. Many of these add-on packages are described inThe IfiTfiX Companion [3].

ETgX encourages authors to write well-structured texts, because thisis how ET^X works—by specifying structure.

4

Things You Need to Know

• T^X, the formatting engine of is highly portable and free.

Therefore the system runs on almost any hardware platform available.

TT^X also has some disadvantages, and I guess it’s a bit difficult for me tofind any sensible ones, though I am sure other people can tell you hundreds

• PT^X does not work well for people who have sold their souls ...

• Although some parameters can be adjusted within a predefined docu-ment layout, the design of a whole new layout is difficult and takes alot of time.3

• It is very hard to write unstructured and disorganized documents.

• Your hamster might, despite some encouraging first steps, never beable to fully grasp the concept of Logical Markup.

The input for LTj^X is a plain text file. On Unix/Linux text files are prettycommon. On windows, one would use Notepad to create a text file. Itcontains the text of the document, as well as the commands that tell bd^Xhow to typeset the text. If you are working with a PT^X IDE, it will containa program for creating PTj^X input files in text format.

1.3.1 Spaces

“Whitespace” characters, such as blank or tab, are treated uniformly as“space” by PTj^X. Several consecutive whitespace characters are treated asone “space.” Whitespace at the start of a line is generally ignored, and asingle line break is treated as “whitespace.”

An empty line between two lines of text defines the end of a paragraph.Several empty lines are treated the same as one empty line. The text belowis an example. On the left hand side is the text from the input file, and onthe right hand side is the formatted output.

It does not matter whether you

1.3 BTgX Input Files

enter one or severalafter a word.

spaces

It does not matter whether you enter oneor several spaces after a word.

An empty line starts a new paragraph.

An empty line starts a newparagraph.

3Rumour says that this is one of the key elements that will be addressed in the upcomingPTjHjX3 system.

1.3 lAT^jX Input Files

5

1.3.2 Special Characters

The following symbols are reserved characters that either have a specialmeaning under UT^X or are not available in all the fonts. If you enter themdirectly in your text, they will normally not print, but rather coerce UTJ^Xto do things you did not intend.

As you will see, these characters can be used in your documents all thesame by using a prefix backslash:

\# \$ V/. VO \& \_ U \> VO

\textbackslash

The other symbols and many more can be printed with special commandsin mathematical formulae or as accents. The backslash character \ can notbe entered by adding another backslash in front of it (V); this sequence isused for line breaking. Use the \textbackslash command instead.

1.3.3 lAT^K Commands

OT^X commands are case sensitive, and take one of the following two formats:

• They start with a backslash \ and then have a name consisting ofletters only. Command names are terminated by a space, a number orany other ‘non-letter.’

• They consist of a backslash and exactly one non-letter.

• Many commands exist in a ‘starred variant’ where a star is appendedto the command name.

OT^X ignores whitespace after commands. If you want to get a space aftera command, you have to put either an empty parameter {} and a blank or aspecial spacing command after the command name. The empty parameter{} stops OT^X from eating up all the white space after the command name.

New \TeX users may miss whitespacesafter a command. "/« renders wrongExperienced \TeXO users are\TeX perts, and know how to usewhitespaces. °/0 renders correct

Some commands require a parameter, which has to be given betweencurly braces { } after the command name. Some commands take optionalparameters, which are inserted after the command name in square brack-ets [ ].

New TfrpCusers may miss whitespaces af-ter a command. Experienced TfrpC usersare TJ^Xperts, and know how to use white-spaces.

# $ % * & _ { } - \

6

Things You Need to Know

\command [optional parameter] {parameter}

The next examples use some TYjrX commands. Don’t worry about them;they will be explained later.

You can \textsl{lean} on me!

You can lean on me!

Please, start a new lineright here!\newlineThank you!

Please, start a new line right here!Thank you!

1.3.4 Comments

When DTgX encounters a % character while processing an input file, it ignoresthe rest of the present line, the line break, and all whitespace at the beginningof the next line.

This can be used to write notes into the input hie, which will not showup in the printed version.

This is an “/« stupid

7, Better: instructive <

example: Supercal70

ifragilisty,icexpialidocious

The 7o character can also be used to split long input lines where nowhitespace or line breaks are allowed.

For longer comments you could use the comment environment provided bythe verbatim package. Add the line \usepackagefverbatim]- to the preambleof your document as explained below to use this command.

This is another\beginfcomment}-rather stupid,but helpful\endfcomment]-example for embeddingcomments in your document.

Note that this won’t work inside complex environments, like math forexample.

This is another example for embeddingcomments in your document.

This is an example: Supercalifragilisticex-pialidocious

1.4 Input File Structure

7

1.4 Input File Structure

When PTeX2£ processes an input file, it expects it to follow a certainstructure. Thus every input file must start with the command

\documentclass-[. . .}

This specifies what sort of document you intend to write. After that, addcommands to influence the style of the whole document, or load packagesthat add new features to the UT^X system. To load such a package you usethe command

\usepackagef...}

When all the setup work is done,4 you start the body of the text withthe command

\beginfdocument}-

Now you enter the text mixed with some useful UT^X commands. Atthe end of the document you add the

\endfdocument}-

command, which tells UT^X to call it a day. Anything that follows thiscommand will be ignored by TT^X.

Figure 1.1 shows the contents of a minimal FT^X2e file. A slightly morecomplicated input file is given in Figure 1.2.

1.5 A Typical Command Line Session

I bet you must be dying to try out the neat small UT^X input hie shownon page 7. Here is some help: UT^X itself comes without a GUI or fancybuttons to press. It is just a program that crunches away at your input hie.Some UT^X installations feature a graphical front-end where there is a ETj^Xbutton to start compiling your input hie. On other systems there might be

4The area between \documentclass and Ybeginfdocument} is called the preamble.

\document class-fart icle}-\beginfdocument}-Small is beautiful.\end-[document}-

Figure 1.1: A Minimal UTj^X File.

8

Things You Need to Know

some typing involved, so here is how to coax EI^X into compiling your inputfile on a text based system. Please note: this description assumes that aworking ETj^X installation already sits on your computer.5

1. Edit/Create your ETf^X input file. This hie must be plain ASCII text.On Unix all the editors will create just that. On Windows you mightwant to make sure that you save the hie in ASCII or Plain Text format.When picking a name for your hie, make sure it bears the extension

.tex.

2. Open a shell or cmd window, cd to the directory where your input hie

is located and run ETj^X on your input hie. If successful you will endup with a . dvi hie. It may be necessary to run several times to

get the table of contents and all internal references right. When yourinput hie has a bug ETj^X will tell you about it and stop processingyour input hie. Type ctrl-D to get back to the command line.

latex foo.tex

3. Now you may view the DVI hie. There are several ways to do that.

“This is the case with most well groomed Unix Systems, and ... Real Men use Unix,so ... ;-)

\documentclass [a4paper, llpt] {article}

'/. define the title

\authorfH. -PartlJ

\title{Minimalism}-

\begin-[document}-

°/0 generates the title

\maketitle

7. insert the table of contents\tableofcontents

\section-[Some Interesting WordsJWell, and here begins my lovely article.\sectionfGood Bye WorldJ\ldots-Q and here it ends.

\end{document]-

Figure 1.2: Example of a Realistic Journal Article. Note that all thecommands you see in this example will be explained later in the introduction.

1.6 The Layout of the Document

9

Look at the file on screen with

xdvi foo.dvi &

This only works on Unix with XI1. If you are on Windows you mightwant to try yap (yet another previewer).

Convert the dvi file to PostScript for printing or viewing withGhostScript.

dvips -Pcmz foo.dvi -o foo.ps

If you are lucky your DTp]X system even comes with the dvipdf tool,which allows you to convert your . dvi files straight into pdf.

dvipdf foo.dvi

1.6 The Layout of the Document

1.6.1 Document Classes

The first information DT^]X needs to know when processing an input file isthe type of document the author wants to create. This is specified with the\documentclass command.

\documentclass [options] {class}

Here class specifies the type of document to be created. Table 1.1 lists thedocument classes explained in this introduction. The DTp]X 2^ distributionprovides additional classes for other documents, including letters and slides.The options parameter customises the behaviour of the document class. Theoptions have to be separated by commas. The most common options for thestandard document classes are listed in Table 1.2.

Example: An input file for a DTp]X document could start with the line

\documentclass [llpt,twoside,a4paper]{article}

which instructs DTf^X to typeset the document as an article with a basefont size of eleven points, and to produce a layout suitable for double sidedprinting on A4 paper.

Things You Need to Know

10

1.6.2 Packages

While writing your document, you will probably find that there are someareas where basic DTgX cannot solve your problem. If you want to includegraphics, coloured text or source code from a file into your document, youneed to enhance the capabilities of PTgX. Such enhancements are calledpackages. Packages are activated with the

\usepackage [options] {package}

command, where package is the name of the package and options is a listof keywords that trigger special features in the package. The \usepackagecommand goes into the preamble of the document. See section 1.4 for details.

Some packages come with the base distribution (See Table 1.3).

Others are provided separately. You may find more information on thepackages installed at your site in your Local Guide [ ]. The prime source forinformation about packages is The WTj^X Companion [3]. It contains

descriptions on hundreds of packages, along with information of how to writeyour own extensions to DTgX2£.

Modern Tj^X distributions come with a large number of packages prein-stalled. If you are working on a Unix system, use the command texdoc foraccessing package documentation.

Table 1.1: Document Classes.

article for articles in scientific journals, presentations, short reports, pro-gram documentation, invitations, ...

proc a class for proceedings based on the article class.

minimal is as small as it can get. It only sets a page size and a base font. Itis mainly used for debugging purposes.

report for longer reports containing several chapters, small books, PhDtheses, ...

book for real books

slides for slides. The class uses big sans serif letters. You might want toconsider using the Beamer class instead.

1.6 The Layout of the Document

11

Table 1.2: Document Class Options.

lOpt, llpt, 12pt Sets the size of the main font in the document. If nooption is specified, lOpt is assumed.

a4paper, letterpaper, ... Defines the paper size. The default size isletterpaper. Besides that, a5paper, b5paper, executivepaper,and legalpaper can be specified.

f leqn Typesets displayed formulae left-aligned instead of centred.

leqno Places the numbering of formulae on the left hand side instead ofthe right.

titlepage, notitlepage Specifies whether a new page should be startedafter the document title or not. The article class does not start anew page by default, while report and book do.

onecolumn, twocolumn Instructs DTjrX to typeset the document in onecolumn or two columns.

twoside, oneside Specifies whether double or single sided output

should be generated. The classes article and report are single sidedand the book class is double sided by default. Note that this optionconcerns the style of the document only. The option twoside does nottell the printer you use that it should actually make a two-sidedprintout.

landscape Changes the layout of the document to print in landscapemode.

openright, openany Makes chapters begin either only on right handpages or on the next page available. This does not work with thearticle class, as it does not know about chapters. The report classby default starts chapters on the next page available and the bookclass starts them on right hand pages.

12

Things You Need to Know

Table 1.3: Some of the Packages Distributed with D-T^X.

doc Allows the documentation of DT^X programs.

Described in doc.dtxa and in The WTj^X Companion [3].

exscale Provides scaled versions of the math extension font.

Described in ltexscale. dtx.

fontenc Specifies which font encoding DT^X should use.

Described in ltoutenc.dtx.

ifthen Provides commands of the form‘if... then do... otherwise do....’

Described in ifthen.dtx and The 3T]^X Companion [3].

latexsym To access the DTf^X symbol font, you should use the latexsympackage. Described in latexsym.dtx and in The 3Tj^X Companion [3].

makeidx Provides commands for producing indexes. Described in section 4.3and in The 3TpjX Companion [3].

syntonly Processes a document without typesetting it.

inputenc Allows the specification of an input encoding such as ASCII, ISOLatin-1, ISO Latin-2, 437/850 IBM code pages, Apple Macintosh, Next,ANSI-Windows or user-defined one. Described in inputenc. dtx.

“This file should be installed on your system, and you should be able to get a dvi fileby typing latex doc.dtx in any directory where you have write permission. The same istrue for all the other files mentioned in this table.

1.7 Files You Might Encounter

13

1.6.3 Page Styles

E-Tf^X supports three predefined header/footer combinations—so-called pagestyles. The style parameter of the

\pagestyle{sh/Ze}

command defines which one to use. Table 1.4 lists the predefined page styles.Table 1.4: The Predefined Page Styles of DT^X.

plain prints the page numbers on the bottom of the page, in the middle ofthe footer. This is the default page style.

headings prints the current chapter heading and the page number in theheader on each page, while the footer remains empty. (This is the styleused in this document)

empty sets both the header and the footer to be empty.

It is possible to change the page style of the current page with thecommand

\thispagestyl eistyle}

A description how to create your own headers and footers can be foundin The WTfiX Companion [ ] and in section 4.4 on page 87.

1.7 Files You Might Encounter

When you work with E-TgX you will soon find yourself in a maze of fileswith various extensions and probably no clue. The following list explains thevarious file types you might encounter when working with TgX. Please notethat this table does not claim to be a complete list of extensions, but if youfind one missing that you think is important, please drop me a line.

.tex ET)h]X or TgX input file. Can be compiled with latex.

. sty ETf5]X Macro package. Load this into your LT^X document using the\usepackage command.

.dtx Documented TgX. This is the main distribution format for DT^X stylefiles. If you process a .dtx file you get documented macro code of theD-T^X package contained in the .dtx file.

14

Things You Need to Know

. ins The installer for the files contained in the matching .dtx hie. If youdownload a DT^X package from the net, you will normally get a .dtxand a .ins hie. Run DTgX on the .ins hie to unpack the .dtx hie.

. els Class hies dehne what your document looks like. They are selectedwith the \documentclass command.

.fd Font description hie telling ET^X about new fonts.

The following hies are generated when you run ET^X on your input hie:

.dvi Device Independent File. This is the main result of a Dl^X compilerun. Look at its content with a DVI previewer program or send it to aprinter with dvips or a similar application.

. log Gives a detailed account of what happened during the last compilerrun.

.toe Stores all your section headers. It gets read in for the next compilerrun and is used to produce the table of contents.

. lof This is like .toe but for the list of hgures.

. lot And again the same for the list of tables.

. aux Another hie that transports information from one compiler run to thenext. Among other things, the .aux hie is used to store informationassociated with cross-references.

. idx If your document contains an index. ETf5]X stores all the words thatgo into the index in this hie. Process this hie with make index. Referto section 4.3 on page 86 for more information on indexing.

. ind The processed .idx hie, ready for inclusion into your document on thenext compile cycle.

. ilg Loghle telling what makeindex did.

1.8 Big Projects

When working on big documents, you might want to split the input hie into

several parts. DTgX has two commands that help you to do that.

\include{_filename}

Use this command in the document body to insert the contents of another hienamed filename.tex. Note that DTgX will start a new page before processingthe material input from filename.tex.

1.8 Big Projects

15

The second command can be used in the preamble. It allows you toinstruct to only input some of the \included files.

\includeonly-{.filename, filename,... }

After this command is executed in the preamble of the document, only\include commands for the filenames that are listed in the argument of the\includeonly command will be executed.

The \include command starts typesetting the included text on a newpage. This is helpful when you use \includeonly, because the page breakswill not move, even when some include hies are omitted. Sometimes thismight not be desirable. In this case, use the

\input {filename}

command. It simply includes the hie specihed. No hashy suits, no stringsattached.

To make UT^^X quickly check your document use the syntonly package.This makes BT[h]X skim through your document only checking for propersyntax and usage of the commands, but doesn’t produce any (DVI) output.As ETj^X runs faster in this mode you may save yourself valuable time. Usageis very simple:

\usepackage-fsyntonly}-

\syntaxonly

When you want to produce pages, just comment out the second line (byadding a percent sign).

Chapter 2

Typesetting Text

After reading the previous chapter, you should know about the basic stuff ofwhich a |ATeX2£ document is made. In this chapter I will fill in the remainingstructure you will need to know in order to produce real world material.

2.1 The Structure of Text and Language

By Hanspeter Schmid <hanspi@schmid-werren.ch>

The main point of writing a text, is to convey ideas, information, or knowledgeto the reader. The reader will understand the text better if these ideasare well-structured, and will see and feel this structure much better if thetypographical form reflects the logical and semantical structure of the content.

IAT^X is different from other typesetting systems in that you just haveto tell it the logical and semantical structure of a text. It then derives thetypographical form of the text according to the “rules” given in the documentclass file and in various style files.

The most important text unit in IATf^X (and in typography) is theparagraph. We call it “text unit” because a paragraph is the typographicalform that should reflect one coherent thought, or one idea. You will learn inthe following sections how to force line breaks with e.g. \\, and paragraphbreaks with e.g. leaving an empty line in the source code. Therefore, if a newthought begins, a new paragraph should begin, and if not, only line breaksshould be used. If in doubt about paragraph breaks, think about your textas a conveyor of ideas and thoughts. If you have a paragraph break, butthe old thought continues, it should be removed. If some totally new line ofthought occurs in the same paragraph, then it should be broken.

Most people completely underestimate the importance of well-placedparagraph breaks. Many people do not even know what the meaning ofa paragraph break is, or, especially in IATf^X, introduce paragraph breakswithout knowing it. The latter mistake is especially easy to make if equationsare used in the text. Look at the following examples, and figure out why

18

Typesetting Text

sometimes empty lines (paragraph breaks) are used before and after theequation, and sometimes not. (If you don’t yet understand all commandswell enough to understand these examples, please read this and the followingchapter, and then read this section again.)

I Example 1

\ldots when Einstein introduced his formula\begin-fequation}-

e = m \cdot c~2 \; ,

\end-fequation}-

which is at the same time the most widely knownand the least well understood physical formula.

% Example 2

\ldots from which follows Kirchhoff’s current law:\begin{equation}-

\sum_{k=l}~{n} I_k = 0 \; .

\end{equation}-

Kirchhoff’s voltage law can be derived \ldots

l Example 3

\ldots which has several advantages.

\beginfequation}-I_D = I_F - I_R\endfequation}-

is the core of a very different transistor model, \ldots

The next smaller text unit is a sentence. In English texts, there is alarger space after a period that ends a sentence than after one that ends anabbreviation. ET^X tries to figure out which one you wanted to have. IfETgX gets it wrong, you must tell it what you want. This is explained laterin this chapter.

The structuring of text even extends to parts of sentences. Most languageshave very complicated punctuation rules, but in many languages (includingGerman and English), you will get almost every comma right if you rememberwhat it represents: a short stop in the flow of language. If you are not sureabout where to put a comma, read the sentence aloud and take a shortbreath at every comma. If this feels awkward at some place, delete thatcomma; if you feel the urge to breathe (or make a short stop) at some otherplace, insert a comma.

2.2 Line Breaking and Page Breaking

19

Finally, the paragraphs of a text should also be structured logically at ahigher level, by putting them into chapters, sections, subsections, and so on.However, the typographical effect of writing e.g. \section{The Structureof Text and Language} is so obvious that it is almost self-evident howthese high-level structures should be used.

2.2 Line Breaking and Page Breaking

2.2.1 Justified Paragraphs

Books are often typeset with each line having the same length. DTgXinserts the necessary line breaks and spaces between words by optimizingthe contents of a whole paragraph. If necessary, it also hyphenates wordsthat would not fit comfortably on a line. How the paragraphs are typesetdepends on the document class. Normally the first line of a paragraph isindented, and there is no additional space between two paragraphs. Refer tosection 6.3.2 for more information.

In special cases it might be necessary to order DTgX to break a line:

\\ or \newline

starts a new line without starting a new paragraph.

\\*

additionally prohibits a page break after the forced line break.

\newpage

starts a new page.

\linebreak[ra], \nolinebreak[ra] , \pagebreak[ra] , \nopagebreak[ra]

suggest places where a break may (or may not) happen. They enable theauthor to influence their actions with the optional argument n, which canbe set to a number between zero and four. By setting n to a value below4, you leave the option of ignoring your command if the result would

look very bad. Do not confuse these “break” commands with the “new”commands. Even when you give a “break” command, DTgX still tries to evenout the right border of the line and the total length of the page, as describedin the next section; this can lead to unpleasant gaps in your text. If youreally want to start a “new line” or a “new page”, then use the correspondingcommand. Guess their names!

20

Typesetting Text

always tries to produce the best line breaks possible. If it cannotfind a way to break the lines in a manner that meets its high standards, itlets one line stick out on the right of the paragraph. KTgX then complains(“overfull hbox”) while processing the input file. This happens most oftenwhen ETj^X cannot find a suitable place to hyphenate a word.1 InstructET[h]X to lower its standards a little by giving the \sloppy command. Itprevents such over-long lines by increasing the inter-word spacing—even ifthe final output is not optimal. In this case a warning (“underfull hbox”) isgiven to the user. In most such cases the result doesn’t look very good. Thecommand \fussy brings ET^X back to its default behaviour.

2.2.2 Hyphenation

ET^X hyphenates words whenever necessary. If the hyphenation algorithmdoes not find the correct hyphenation points, remedy the situation by usingthe following commands to tell Tp]X about the exception.

The command

\hyphenation{word list}

causes the words listed in the argument to be hyphenated only at the pointsmarked by The argument of the command should only contain wordsbuilt from normal letters, or rather signs that are considered to be normalletters by ET^X. The hyphenation hints are stored for the language thatis active when the hyphenation command occurs. This means that if youplace a hyphenation command into the preamble of your document it willinfluence the English language hyphenation. If you place the commandafter the \begin{document}- and you are using some package for nationallanguage support like babel, then the hyphenation hints will be active in thelanguage activated through babel.

The example below will allow “hyphenation” to be hyphenated as well as“Hyphenation”, and it prevents “FORTRAN”, “Fortran” and “fortran” frombeing hyphenated at all. No special characters or symbols are allowed in theargument.

Example:

\hyphenation{FORTRAN Hy-phen-a-tion}

The command \- inserts a discretionary hyphen into a word. Thisalso becomes the only point hyphenation is allowed in this word. Thiscommand is especially useful for words containing special characters (e.g.

1Although ETRX gives you a warning when that happens (Overfull \hbox) and displaysthe offending line, such lines are not always easy to find. If you use the option draft inthe \documentclass command, these lines will be marked with a thick black line on theright margin.

2.3 Ready-Made Strings

21

accented characters), because RTgX does not automatically hyphenate wordscontaining special characters.

I think this is: su\-per\-cal\-70

i\-frag\-i\-lis\-tic\-ex\-pi\-"/0

al\-i\-do\-cious

Several words can be kept together on one line with the command

\mbo xitext}

I think this is: supercalifragilisticexpiali-docious

It causes its argument to be kept together under all circumstances.

My phone number will change soon.

It will be \mbox{0116 291 2319}.

The parameter

\mboxf\emphffilename}} shouldcontain the name of the file.

\fbox is similar to \mbox, but indrawn around the content.

2.3 Ready-Made Strings

In some of the examples on the previous pages, you have seen some verysimple RTpX commands for typesetting special text strings:

Command Example Description

\today June 20, 2016 Current date

\TeX T^X Your favorite typesetter

\LaTeX RTpX The Name of the Game

\LaTeXe RTprX 2g The current incarnation

2.4 Special Characters and Symbols

2.4.1 Quotation Marks

You should not use the 11 for quotation marks as you would on a typewriter.In publishing there are special opening and closing quotation marks. In RT^X,use two ' (grave accent) for opening quotation marks and two 1 (verticalquote) for closing quotation marks. For single quotes you use just one ofeach.

My phone number will change soon. It willbe 0116 291 2319.

The parameter filename should contain thename of the file.

addition there will be a visible box

“Please press the ‘x’ key.”

‘ ‘Please press the ‘x’ key.1’

22

Typesetting Text

Yes I know the rendering is not ideal, it’s really a back-tick or graveaccent (') for opening quotes and vertical quote (') for closing, despite whatthe font chosen might suggest.

2.4.2 Dashes and Hyphens

BTp^X knows four kinds of dashes. Access three of them with different numberof consecutive dashes. The fourth sign is actually not a dash at all—it is themathematical minus sign:

daughter-in-law, X-rated\\pages 13—67\\

yes or no? \\

$0$, $1$ and $-1$

The names for these dashes are: hyphen, ’ en-dash, ‘—’ em-dash

and ‘ — ’ minus sign.

2.4.3 Tilde (~)

A character often seen in web addresses is the tilde. To generate this inBTf^X use \~{} but the result (~) is not really what you want. Try thisinstead:

http://www. rich. edu/\~Obush \\http://www.clever.edu/$\sim$demo

http://www.rich.edu/~bush

http://www.clever.edu/~demo

daughter-in-law, X-ratedpages 13-67yes—or no?

0, 1 and —1

2.4.4 Slash (/)

In order to typeset a slash between two words, one can simply type e.g.read/write, but this makes treat the two words as one. Hyphenation

is disabled for these two words, so there may be ‘overfull’ errors. To over-come this, use \slash. For example type ‘read\slash write’ which allowshyphenation. But normal ‘/’ character may be still used for ratios or units,e.g. 5 MB/s.

2.4.5 Degree Symbol (o)

Printing the degree symbol in pure HT^X.

It’s $-30\,~{\circ}\mathrm{C}$.I will soon start tosuper-conduct.

It’s — 30°C. I will soon start to super-conduct.

2.4 Special Characters and Symbols

23

The textcomp package makes the degree symbol also available as \textdegreeor in combination with the C by using the \textcelsius.

30 \textcelsiusO is86 \textdegree-QF.

30 °C is 86 °F.

2.4.6 The Euro Currency Symbol (€)

When writing about money these days, you need the Euro symbol. Manycurrent fonts contain a Euro symbol. After loading the textcomp package inthe preamble of your document

\usepackage{textcomp}

use the command

\texteuro

to access it.

If your font does not provide its own Euro symbol or if you do not likethe font’s Euro symbol, you have two more choices:

First the eurosym package. It provides the official Euro symbol:

\usepackage [official] {eurosym}

If you prefer a Euro symbol that matches your font, use the option genin place of the official option.

Table 2.1: A bag full of Euro symbols

LM+textcomp

\texteuro

€

€

€

eurosym

\euro

€

€

€

[gen] eurosym

\euro

€

€

e

2.4.7 Ellipsis (...)

On a typewriter, a comma or a period takes the same amount of space asany other letter. In book printing, these characters occupy only a little spaceand are set very close to the preceding letter. Therefore, entering ‘ellipsis’

24

Typesetting Text

by just typing three dots would produce the wrong result. Instead, there isa special command for these dots. It is called

\ldots (low dots)

Not like this . . . but like this:\\ Not like this ... but like this:

New York, Tokyo, Budapest, \ldots New York, Tokyo, Budapest, ...

I

2.4.8 Ligatures

Some letter combinations are typeset not just by setting the different lettersone after the other, but by actually using special symbols.

ff fi fl ffi.. . instead of ff fi fl ffi . . .

These so-called ligatures can be prohibited by inserting an \mbox-Q betweenthe two letters in question. This might be necessary with words built fromtwo words.

\Large Not shelffulWbut shelf\mbox-Qful

Not shelffulbut shelfful

2.4.9 Accents and Special Characters

LT^X supports the use of accents and special characters from many languages.Table 2.2 shows all sorts of accents being applied to the letter o. Naturallyother letters work too.

To place an accent on top of an i or a j, its dots have to be removed.This is accomplished by typing \i and \ j.

H\~otel, na\"\i ve, \’elVeve,\\sm\o rrebr\o d, ! 1Se\~norita!,\\SchV'onbrunner Schlo\ssOStra\ss e

Hotel, naive, eleve,smprrebrpd, jSenorita!,Schonbrunner SchloB StraBe

2.5 International Language Support

When you write documents in languages other than English, there are threeareas where has to be configured appropriately:

2.5 International Language Support

25

1. All automatically generated text strings2 have to be adapted to thenew language. For many languages, these changes can be accomplishedby using the babel package by Johannes Braams.

2. IATf^X needs to know the hyphenation rules for the new language.Getting hyphenation rules into IATf^X is a bit more tricky. It meansrebuilding the format file with different hyphenation patterns enabled.Your Local Guide [5] should give more information on this.

3. Language specific typographic rules. In French for example, there is amandatory space before each colon character (:).

If your system is already configured appropriately, activate the babelpackage by adding the command

\usepackage [language] {babel}

after the \documentclass command. A list of the languages built into yourIATgX system will be displayed every time the compiler is started. Babel willautomatically activate the appropriate hyphenation rules for the languageyou choose. If your IATf^X format does not support hyphenation in thelanguage of your choice, babel will still work but will disable hyphenation,which has quite a negative effect on the appearance of the typeset document.

Babel also specifies new commands for some languages, which simplifythe input of special characters. The German language, for example, containsa lot of umlauts (aoii). With babel loaded, enter an 6 by typing "o insteadof \"o.

2Table of Contents, List of Figures, ...

Table 2.2: Accents and Special Characters.

6

Vo

6

Vo

6

\~o

5

\~o

5

\=0

6

\.o

6

\ " 0

S

\c c

6

\u 0

6

\v 0

6

\H o

Q

\c 0

o

\d o

o

\b o

do

\t 00

ce

\oe

CE

\0E

se

\ae

M

\AE

a

\aa

A

\AA

0

\o

0

\o

1

\1

L

\L

i

\i

J

\j

i

! ‘

L

? ‘

26

Typesetting Text

If you call babel with multiple languages

\usepackage [languageA, languageB\ {babel}

then the last language in the option list will be active (i.e. languageB). Usethe command

XselectlanguageUanguageA}

to change the active language.

Most modern computer systems allow you to input letters of nationalalphabets directly from the keyboard. In order to handle a variety of inputencodings used for different groups of languages and/or on different computerplatforms UTgX employs the inputenc package:

\usepackage [encoding\ {inputenc}

When using this package, you should consider that other people mightnot be able to display your input files on their computer, because they use adifferent encoding. For example, the German umlaut a on OS/2 is encodedas 132, on Unix systems using ISO-LATIN 1 it is encoded as 228, whilein Cyrillic encoding cpl251 for Windows this letter does not exist at all;therefore you should use this feature with care. The following encodings maycome in handy, depending on the type of system you are working on3

Operating

encodings

system

western Latin

Cyrillic

Mac

applemac

macukr

Unix

latinl

koi8-ru

Windows

ansinew

cpl251

DOS, OS/2

cp850

cp866nav

\usepackage[utf8]{inputenc}

will enable you to create DT[5]X input files in utf8, a multi-byte encoding inwhich each character can be encoded in as little as one byte and as many asfour bytes.

Since the turn of the Century most Operating Systems are based onUnicode (Windows XP, MacOS X). Therefore it is recommended to use utf 8for any new project. The utf8 encoding used by inputenc only defines the

3To learn more about supported input encodings for Latin-based and Cyrillic-basedlanguages, read the documentation for inputenc.dtx and cyinpenc.dtx respectively.Section 4.6 tells how to produce package documentation.

27

2.5 International Language Support

characters that are actually provided by the fonts used. If you need more(non-latin) characters have a look at XgBT^X in section 4.8 a Unicode basedT^X-engine.

Font encoding is a different matter. It defines at which position inside aTgX-font each letter is stored. Multiple input encodings could be mappedinto one font encoding, which reduces the number of required font sets. Fontencodings are handled through fontenc package:

\usepackage [encoding\ {fontenc}

where encoding is font encoding. It is possible to load several encodingssimultaneously.

The default UTgX font encoding is DTI, the encoding of the originalComputer Modern TJ^X font. It contains only the 128 characters of the 7-bitASCII character set. When accented characters are required, T[^X createsthem by combining a normal character with an accent. While the resultingoutput looks perfect, this approach stops the automatic hyphenation fromworking inside words containing accented characters. Besides, some Latinletters could not be created by combining a normal character with an accent,to say nothing about letters of non-Latin alphabets, such as Greek or Cyrillic.

To overcome these shortcomings, several 8-bit CM-like font sets werecreated. Extended Cork (EC) fonts in T1 encoding contains letters andpunctuation characters for most of the European languages using Latinscript. The LH font set contains letters necessary to typeset documentsin languages using Cyrillic script. Because of the large number of Cyrillicglyphs, they are arranged into four font encodings- T2A, T2B, T2C, and X2.4The CB bundle contains fonts in LGR encoding for the composition of Greektext.

Improve/enable hyphenation in non-English documents by using thesefonts. Another advantage of using new CM-like fonts is that they providefonts of CM families in all weights, shapes, and optically scaled font sizes.

2.5.1 Support for Portuguese

By Demerson Andre Polli <polli@linux.ime.usp.br>

To enable hyphenation and change all automatic text to Portuguese, use thecommand:

\usepackage[portuguese]{babel}

Or if you are in Brazil, substitute brazilian as the language.

4 Find a list of languages supported by each of these encodings in [ ].

28

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Table 2.3: Preamble for Portuguese documents.

\usepackage [portuguese] {babel}\usepackage [latinl] {inputenc}\usepackage[Tl]{fontenc}

As there are a lot of accents in Portuguese you might want to use

\usepackage[latinl]{inputenc}

to be able to input them correctly as well as

\usepackage[Tl]ffontenc}

to get the hyphenation right.

See table 2.3 for the preamble you need to write in the Portugueselanguage. Note that the example is for the latinl input encoding. Modernsystems might be using utf8 instead.

2.5.2 Support for French

By Daniel Flipo <daniel .f lipoOuniv-lillel. f r>

Some hints for those creating French documents with RTf^X: load Frenchlanguage support with the following command:

\usepackage[francais]{babel}

This enables French hyphenation, if you have configured your FTf^Xsystem accordingly. It also changes all automatic text into French: \chapterprints Chapitre, \today prints the current date in French and so on. A setof new commands also becomes available, which allows you to write Frenchinput files more easily. Check out table 2.4 for inspiration.

You will also notice that the layout of lists changes when switching to theFrench language. For more information on what the f rancais option of babeldoes and how to customize its behaviour, run FT^X on file frenchb.dtxand read the produced file frenchb.dvi.

Recent versions of frenchb rely on numprint to implement the \nombrecommand.

2.5 International Language Support

29

Table 2.4: Special commands for French.

\og guillemets \fg-QM\up{me}, D\up{r}l\ier-Q, l\iere{}, l\ieres{}2\ieme-[}- 4\iemes{}

\No 1, \no 220~\degres C, 45\degres\bsc{M. Durand}

\nombre{1234,56789}

2e 4es

N° 1, n° 2

« guillemets »Mme, Dr

M. Durand

20 °C, 45°

1 er 1 re 1 res

L , L , ±

1 234,567 89

2.5.3 Support for German

Some hints for those creating German documents with DT^X: load Germanlanguage support with the following command:

\usepackage[german]{babel}

This enables German hyphenation, if you have configured your D-T^Xsystem accordingly. It also changes all automatic text into German. Eg.“Chapter” becomes “Kapitel.” A set of new commands also becomes available,which allows you to write German input files more quickly even when youdon’t use the inputenc package. Check out table 2.5 for inspiration. Withinputenc, all this becomes moot, but your text also is locked in a particularencoding world.

Table 2.5: German Special Characters.

"a

a

"s

fi

II )

"< or \flqq «\flq <

\dq

"> or \frqq »\frq >

In German books you often find French quotation marks («guillemets»).German typesetters, however, use them differently. A quote in a German

30

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book would look like »this«. In the German speaking part of Switzerland,typesetters use «guillemets» the same way the French do.

A major problem arises from the use of commands like \f lq: If you usethe OT1 font (which is the default font) the guillemets will look like the mathsymbol “<C”, which turns a typesetter’s stomach. T1 encoded fonts, on theother hand, do contain the required symbols. So if you are using this type ofquote, make sure you use the T1 encoding, (\usepackage[Tl]{fontenc})

2.5.4 Support for Korean5

To process Hangul6 7 characters or prepare a document written in Koreanusing UTjtX, put the following code in the preamble of the document.

\usepackage{kotex}

A document containing the declaration above will have to be processedby pdf'UTftX, XgHTgX, or LuaFTEX. Make sure that the input file written inHangul is encoded in Unicode UTF-8. The package called ko.T^X' is undercontinuous development by the Korean TgX Users Group8 and the KoreanTgX Society.9 Many people use this package to create Korean documents fortheir everyday needs. ko.Tf^X has been available on CTAN since 2014. Itis included Tp]X Live, MiKTgX and other modern TgX distributions. So inall likelihood you can start working right away without installing any extrapackages.

ko.Tj^X does not use the babel package. Many functions related toKorean can be activated using the options and configuration commandsprovided by the kotex package. If you want to compose a real world Koreandocument, you are advised to consult the package documentation (Thesedocuments are written in Korean).

With ko.Tf^X, you also get oblivoir, a memoir-based document class,tailored for Korean document preparation. So your Korean document wouldstart like this:

\documentclass{oblivoir}

To generate an index for a Korean document, execute komkindex insteadof makeindex. It is a version of the makeindex utility modified for Korean

5Written by Karnes Kim <karnes@ktug.org> and Kihwang Lee <leekh@ktug.org> onbehalf of the Korean TLX Users Group and the Korean TpjK Society.

'’Hangul is the name of the Korean writing system. Refer to http://en.Wikipedia.org/wiki/Hangul for more information.

7Reads “Korean TLX”- ko.TgX is the name of a collection of packages including cjk-ko,kotex-utf, xetexko, and luatexko.

8http://ktug.org

9http://ktug.kr

2.5 International Language Support

31

Table 2.6: Preamble for Greek documents.

\usepackage [english,greek] {babel}-\usepackage [iso-8859-7] {inputenc}-

processing. For lexicographical sorting of the Korean index items, you canuse index style kotex. ist provided by ko.TgX as follows:

komkindex -s kotex foo.idx

You can also use xindy for index generation as the Korean module forxindy is included in T^XLive.

There is another Korean/Hangul typesetting package called CJK. Asthe name of the package suggests, it has facilities for typesetting Chinese,Japanese, and Korean characters. It supports multiple encodings of the CJKcharacters. The following is a simple example of typesetting UTF-8 encodedHangul using CJK package. It is useful when you submit a manuscriptto some academic journals that allow typesetting author names in nativelanguages.

\usepackage-[CJK}-

\begin{CJK>{UTF8>{>

\CJKfamilyfnamimmj}

\end{CJK}

2.5.5 Writing in Greek

By Nikolaos Pothitos <pothitos@di.uoa.gr>

See table 2.6 for the preamble you need to write in the Greek language. Thispreamble enables hyphenation and changes all automatic text to Greek.10

A set of new commands also becomes available, which allows you towrite Greek input hies more easily. In order to temporarily switch toEnglish and vice versa, one can use the commands \textlatin{engfo/i text}and \textgreek{greefc text} that both take one argument which is thentypeset using the requested font encoding. Otherwise use the command\selectlanguagef. . .} described in a previous section. Check out table 2.7for some Greek punctuation characters. Use \euro for the Euro symbol.

10If you select the utf 8x option for the package inputenc, MTX will understand Greekand polytonic Greek Unicode characters.

32

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Table 2.7: Greek Special Characters.

?

(( « )) »

> i >

2.5.6 Support for Cyrillic

By Maksym Polyakov <polyama@myrealbox. com>

Version 3.7h of babel includes support for the T2* encodings and for typeset-ting Bulgarian, Russian and Ukrainian texts using Cyrillic letters.

Support for Cyrillic is based on standard mechanisms plus the

fontenc and inputenc packages. But, if you are going to use Cyrillics in mathmode, you need to load mathtext package before fontenc:11

\usepackage{mathtext}

\usepackage[T1,T2A]{fontenc}

\usepackage[koi8-ru]{inputenc}

\usepackage[english,bulgarian,russian,ukranian]{babel}

Generally, babel will automatically choose the default font encoding, forthe above three languages this is T2A. However, documents are not restrictedto a single font encoding. For multi-lingual documents using Cyrillic andLatin-based languages it makes sense to include Latin font encoding explicitly,babel will take care of switching to the appropriate font encoding when adifferent language is selected within the document.

In addition to enabling hyphenations, translating automatically gener-ated text strings, and activating some language specific typographic rules(like \f renchspacing), babel provides some commands allowing typesettingaccording to the standards of Bulgarian, Russian, or Ukrainian languages.

For all three languages, language specific punctuation is provided: TheCyrillic dash for the text (it is little narrower than Latin dash and surroundedby tiny spaces), a dash for direct speech, quotes, and commands to facilitatehyphenation, see Table 2.8.

The Russian and Ukrainian options of babel define the commands \Asbukand \asbuk, which act like \Alph and \alph12, but produce capital andsmall letters of Russian or Ukrainian alphabets (whichever is the activelanguage of the document). The Bulgarian option of babel provides thecommands \enumBul and \enumLat (\enumEng), which make \Alph and

11If you use -AyV^S-lATLX packages, load them before fontenc and babel as well.

12the commands for turning counters into a, b, c, ...

2.5 International Language Support

33

Table 2.8: The extra definitions made by Bulgarian, Russian, and Ukrainianoptions of babel

" I disable ligature at this position.

an explicit hyphen sign, allowing hyphenation in the rest of the word.

" Cyrillic erndash in plain text.

" Cyrillic erndash in compound names (surnames).

"—* Cyrillic erndash for denoting direct speech.

"" like but producing no hyphen sign (for compound words withhyphen, e.g. x-""y or some other signs as “disable/enable”),for a compound word mark without a breakpoint.

"= for a compound word mark with a breakpoint, allowing hyphenationin the composing words.

", thinspace for initials with a breakpoint in following surname.

" ‘ for German left double quotes (looks like „).

" ’ for German right double quotes (looks like “).

"< for French left double quotes (looks like «).

"> for French right double quotes (looks like ;>>).

\alph produce letters of either Bulgarian or Latin (English) alphabets. Thedefault behaviour of \Alph and \alph for the Bulgarian language option isto produce letters from the Bulgarian alphabet.

2.5.7 Support for Mongolian

To use UTgX for typesetting Mongolian you have a choice between twopackages: Multilingual Babel and MonTf]X by Oliver Corff.

MonTf^X includes support for both Cyrillic and traditional MongolianScript. In order to access the commands of MonT^X, add:

\usepackage [.language,encoding'] {mis}

to the preamble. Choose the language option xalx to generate captionsand dates in Modern Mongolian. To write a complete document in thetraditional Mongolian script you have to choose bicig for the language option.The document language option bicig enables the “Simplified Transliteration”input method.

34

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Enable and disable Latin Transliteration Mode with

\SetDocumentEncodingLMC

and

\SetDocumentEncodingNeutral

More information about MonTfn]X is available from CTAN: //language/mongolian/montex/doc.

Mongolian Cyrillic script is supported by babel. Activate Mongolianlanguage support with the following commands:

\usepackage[T2A]{fontenc}\usepackage[mn]{inputenc}\usepackage[mongolian]{babel}

where mn is the cpl251 input encoding. For a more modern approach invokeutf8 instead.

2.5.8 The Unicode option

By Axel Kielhorn <A.Kielhorn@web.de>

Unicode is the way to go if you want to include several languages in onedocument, especially when these languages are not using the latin script.There are two Tlj]X-engines that are capable of processing Unicode input:

XgTEK was developed for MacOS X but is now available for all architectures.It was first included into TexLive 2007.

LuaT^X is the successor of pdflhcX. It was first included into TexLive 2008.The following describes XgUTl^ as distributed with TexLive 2010.

Quickstart

To convert an existing UT^X file to XgUT^X the following needs to be done:

1. Save the file as UTF-8

2. Remove

\usepackage{inputenc}\usepackage{fontenc}\usepackage{textcomp}

from the preamble.

2.5 International Language Support

35

3. Change

\usepackage [languageA\ {babel}

to

\usepackage{polyglossia}

\setdef aultlanguage [babelshorthands] {languageA}

4. Add

\usepackage[Ligatures=TeX]{fontspec}

to the preamble.

The package polyglossia[L9] is a replacement for babel. It takes care ofthe hyphenation patterns and automatically generated text strings. Theoption babelshorthands enables babel compatible shorthands for germanand Catalan.

The package fontspec[2! ] handles font loading for XgLT^X and LuaT^X.The default font is Latin Modern Roman. It is a little known fact that someTgX command are ligatures defined in the Computer Modern fonts. If youwant to use them with a non-Tf^X font, you have to fake them. The optionLigatures=TeX defines the following ligatures:

> > »

i i a

> > n

« «

» »

It’s all Tpeen to me

So far there has been no advantage to using a Unicode TgX engine. Thischanges when we leave the Latin script and move to a more interestinglanguage like Greek or Russian. With a Unicode based system, you cansimply13 enter the characters in your editor and will understand them.

13For small values of simple.

36

Typesetting Text

Writing in different languages is easy, just specify the languages in thepreamble:

\setdefaultlanguage{english}\setotherlanguage[babelshorthands]{german}

To write a paragraph in German, you can use the German environment:

English text.\begin{german}Deutscher Text.\end{german}More English text.

If you just need a word in a foreign language you can use the \text languagecommand:

Englisch text. \textgerman{Gesundheit} is actually a German word.

This may look unnecessary since the only advantage is a correct hyphen-ation, but when the second language is a little bit more exotic it will beworth the effort.

Sometimes the font used in the main document does not contain glyphsthat are required in the second language14. The solution is to define a fontthat will be used for that language. Whenever a new language is activated,polyglossia will first check whether a font has been defined for that language.

\newfontfamily\russianfont[Script=Cyrillic,(...)]{(font)}

Now you can write

\textrussian{Pravda} is a russian newspaper.

Since this document is written in Latinl-encoding, I cannot show theactual Cyrillic letters.

The package xgreek[22] offers support for writing either ancient or modern(monotonic or polytonic) greek.

Right to Left (RTL) languages.

Some languages are written left to right, others are written right to left(RTL).polyglossia needs the bidi [23] package15 in order to support RTL languages.The bidi package should be the last package you load, even after hyperref

14Latin Modern does not contain Cyrillic letters15bidi does not support LuaTLX.

2.5 International Language Support

37

which is usually the last package. (Since polyglossia loads bidi this meansthat polyglossia should be the last package loaded.)

The package xepersian[24] offers support for the Persian language. Itsupplies Persian IXI^X-commands that allows you to enter commands like\section in Persian, which makes this really attractive to native speakers,xepersian is the only package that supports kashida with X^PTjrX. A packagefor Syriac which uses a similar algorithm is under development.

The IranNastaliq font provided by the SCICT16 is available at theirwebsite http://www.scict.ir/Portal/Home/Default.aspx.

The arabxetex[20] package supports several languages with an Arabicscript:

• arab (Arabic)

• persian

• urdu

• sindhi

• pashto

• ottoman (turk)

• kurdish

• kashmiri

• rnalay (jawi)

• uighur

It offers a font mapping that enables XgPTj^X to process input using theArabT^X ASCII transcription.

Fonts that support several Arabic laguages are offered by the IRMUG* 1'at http://wiki.irmug.org/index.php/X_Series_2.

There is no package available for Hebrew because none is needed. TheHebrew support in polyglossia should be sufficient. But you do need asuitable font with real Unicode Hebrew. SBL Hebrew is free for non-commercial use and available at http://www.sbl-site.org/educational/biblicalf onts. aspx. Another font available under the Open Font Licenseis Ezra SIL, available at http://www.sil.org/computing/catalog/show_software.asp?id=76.

16 Supreme Council of Information and Communication Technology

1' Iranian Mac User Group

38

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Remember to select the correct script:

\newfontfamily\hebrewfont[Script=Hebrew]{SBL Hebrew}\newfontfamily\hebrewfont[Script=Hebrew]{Ezra SIL}

Chinese, Japanese and Korean (CJK)

The package xeCJK[25] takes care of font selection and punctuation for theselanguages.

2.6 The Space Between Words

To get a straight right margin in the output, ET^X inserts varying amountsof space between the words. It inserts slightly more space at the end of asentence, as this makes the text more readable. RT^X assumes that sentencesend with periods, question marks or exclamation marks. If a period followsan uppercase letter, this is not taken as a sentence ending, since periods afteruppercase letters normally occur in abbreviations.

Any exception from these assumptions has to be specified by the author.A backslash in front of a space generates a space that will not be enlarged. Atilde character generates a space that cannot be enlarged and additionallyprohibits a line break. The command \@ in front of a period specifies thatthis period terminates a sentence even when it follows an uppercase letter.

Mr.-Smith was happy to see her\\cf.-Fig.~5\\

I like BASIC\@. What about you?

Mr. Smith was happy to see hercf. Fig. 5

I like BASIC. What about you?

The additional space after periods can be disabled with the command

\frenchspacing

which tells IAT^X not to insert more space after a period than after anordinary character. This is very common in non-English languages, exceptbibliographies. If you use \frenchspacing, the command \@ is not necessary.

2.7 Titles, Chapters, and Sections

To help the reader find his or her way through your work, you should divideit into chapters, sections, and subsections. IAT^X supports this with special

2.7 Titles, Chapters, and Sections

39

commands that take the section title as their argument. It is up to you touse them in the correct order.

The following sectioning commands are available for the article class:

\section{...}\subsectionf.. .}\subsubsection{. . .}\paragraphf . . . >

\subparagraph!...}

If you want to split your document into parts without influencing thesection or chapter numbering use

\part{...>

When you work with the report or book class, an additional top-levelsectioning command becomes available

\chapter{...}

As the article class does not know about chapters, it is quite easyto add articles as chapters to a book. The spacing between sections, thenumbering and the font size of the titles will be set automatically by IXIj^X.

Two of the sectioning commands are a bit special:

• The \part command does not influence the numbering sequence ofchapters.

• The \appendix command does not take an argument. It just changesthe chapter numbering to letters.18

creates a table of contents by taking the section headings and pagenumbers from the last compile cycle of the document. The command

\tableofcontents

expands to a table of contents at the place it is issued. A new documenthas to be compiled (“bTjrXed") twice to get a correct table of contents.Sometimes it might be necessary to compile the document a third time.kTp]X will tell you when this is necessary.

All sectioning commands listed above also exist as “starred” versions. A“starred” version of a command is built by adding a star * after the commandname. This generates section headings that do not show up in the table

18 For the article style it changes the section numbering.

40

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of contents and are not numbered. The command \sectionfHelp}-, forexample, would become \section*{Help}-.

Normally the section headings show up in the table of contents exactlyas they are entered in the text. Sometimes this is not possible, because theheading is too long to fit into the table of contents. The entry for the tableof contents can then be specified as an optional argument in front of theactual heading.

\chapter [Title for the table of contents]{A long

and especially boring title, shown in the text}

The title of the whole document is generated by issuing a

\maketitle

command. The contents of the title have to be defined by the commands

\titlef. . .}, \author-f. . .} and optionally \date{. . .}

before calling \maketitle. In the argument to \author, you can supplyseveral names separated by \and commands.

An example of some of the commands mentioned above can be found inFigure 1.2 on page 8.

Apart from the sectioning commands explained above, FTeX2£ intro-duced three additional commands for use with the book class. They areuseful for dividing your publication. The commands alter chapter headingsand page numbering to work as you would expect in a book:

\frontmatter should be the very first command after the start of thedocument body (\beginfdocument}). It will switch page numberingto Roman numerals and sections will be non-enumerated as if you wereusing the starred sectioning commands (eg \chapter*fPreface}) butthe sections will still show up in the table of contents.

\mainmatter comes right before the first chapter of the book. It turns onArabic page numbering and restarts the page counter.

\appendix marks the start of additional material in your book. After thiscommand chapters will be numbered with letters.

\backmatter should be inserted before the very last items in your book,such as the bibliography and the index. In the standard documentclasses, this has no visual effect.

2.8 Cross References

41

2.8 Cross References

In books, reports and articles, there are often cross-references to figures,tables and special segments of text. IATgX provides the following commandsfor cross referencing

Xlabell/Tiarfcer}, \ref {marker} and \pageref{marker}

where marker is an identifier chosen by the user. IATpjX replaces \ref bythe number of the section, subsection, figure, table, or theorem after whichthe corresponding Mabel command was issued, \pageref prints the pagenumber of the page where the \label command occurred.19 As with sectiontitles and page numbers for the table of contents, the numbers from theprevious compile cycle are used.

A reference to this subsection\label{sec:this} looks like:

“see section~\ref {sec : this! onpage~\pageref{sec:this} . 11

2.9 Footnotes

With the command

\footnoteifootnote text}

a footnote is printed at the foot of the current page. Footnotes should alwaysbe put20 after the word or sentence they refer to. Footnotes referring to asentence or part of it should therefore be put after the comma or period.21

A reference to this subsection looks like:“see section 2.8 on page 41.”

Footnotes\footnote{This isa footnote.} are often usedby people using \LaTeX.

Footnotes0 are often used by people usingIATeX-

“This is a footnote.

19Note that these commands are not aware of what they refer to. Mabel just saves thelast automatically generated number.

20“put” is one of the most common English words.

21Note that footnotes distract the reader from the main body of your document. Afterall, everybody reads the footnotes—we are a curious species, so why not just integrateeverything you want to say into the body of the document?22

22A guidepost doesn’t necessarily go where it’s pointing to :-).

42

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2.10 Emphasized Words

If a text is typed using a typewriter, important words are emphasized byunderlining them.

\under1ine{text}

In printed books, however, words are emphasized by typesetting them inan italic font. As an author you shouldn’t care either way. The importantbit is, to tell that a particular bit of text is important and should be

emphasized. Hence the command

XemphOert}

to emphasize text. What the command actually does with its argumentdepends on the context:

\emph-flf you use

emphasizing inside a pieceof emphasized text, then\LaTeX{} uses the\emphlnormal}- font foremphasizing.}

If you want control over font and font size, section 6.2 on page 123 mightprovide some inspiration.

If you use emphasizing inside a piece ofemphasized text, then WTf^i uses the nor-mal font for emphasizing.

2.11 Environments

\begin{ environment} text \end {environment}

Where environment is the name of the environment. Environments can benested within each other as long as the correct nesting order is maintained.

\begin-faaa}-. . . \begin-fbbb}-. . . \end-fbbb}-. . . \end-faaa}-

In the following sections all important environments are explained.

2.11.1 Itemize, Enumerate, and Description

The itemize environment is suitable for simple lists, the enumerate environ-ment for enumerated lists, and the description environment for descriptions.

2.11 Environments

43

\flushleft\begin{enumerate}

\item You can nest the listenvironments to your taste:\begin{itemize}

\item But it might start tolook silly.

\item[-] With a dash.\end-fitemize}

\item Therefore remember:\begin{description}

\item[Stupid] things will notbecome smart because they arein a list.

\item[Smart] things, though,can be presented beautifullyin a list.

\end{description}

\end{enumerate}

1. You can nest the list environmentsto your taste:

• But it might start to looksilly.

- With a dash.

2. Therefore remember:

Stupid things will not becomesmart because they are in alist.

Smart things, though, can be

presented beautifully in a list.

2.11.2 Flushleft, Flushright, and Center

The environments flushleft and flushright generate paragraphs thatare either left- or right-aligned. The center environment generates centredtext. If you do not issue \\ to specify line breaks, TT^X will automaticallydetermine line breaks.

\beginfflushleft}

This text is\\ left-aligned.

\LaTeXO is not trying to makeeach line the same length.

\end{flushleftl

\beginfflushright}

This text is right-\\aligned.\LaTeX-Q is not trying to makeeach line the same length.\end{flushright}

\beginfcenter}

At the centreWof the earth\end{centerl

At the centreof the earth

This text is right-aligned. is not trying to make each

line the same length.

This text is

left-aligned. lAI^X is not trying to makeeach line the same length.

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2.11.3 Quote, Quotation, and Verse

The quote environment is useful for quotes, important phrases and examples.

A typographical rule of thumbfor the line length is:\beginfquote}

On average, no line shouldbe longer than 66 characters.\end{quote}

This is why \LaTeX-Q pages havesuch large borders by defaultand also why multicolumn printis used in newspapers.

There are two similar environments: the quotation and the verse envi-ronments. The quotation environment is useful for longer quotes going overseveral paragraphs, because it indents the first line of each paragraph. Theverse environment is useful for poems where the line breaks are important.The lines are separated by issuing a \\ at the end of a line and an emptyline after each verse.

I know only one English poem byheart. It is about Humpty Dumpty.\begin{flushleft}

\beginfverse}

Humpty Dumpty sat on a wall:\\Humpty Dumpty had a great fall.VAll the King’s horses and allthe King’s men\\

Couldn’t put Humpty togetheragain.

\endfverse}

\endfflushleft}

I know only one English poem by heart. Itis about Humpty Dumpty.

Humpty Dumpty sat on awall:

Humpty Dumpty had a greatfall.

All the King’s horses and allthe King’s men

Couldn’t put Humptytogether again.

A typographical rule of thumb for the linelength is:

On average, no line should belonger than 66 characters.

This is why DT^X pages have such largeborders by default and also why multicol-umn print is used in newspapers.

2.11.4 Abstract

In scientific publications it is customary to start with an abstract which givesthe reader a quick overview of what to expect. BT^X provides the abstractenvironment for this purpose. Normally abstract is used in documentstypeset with the article document class.

The abstract abstract.

\beginfabstract}

The abstract abstract.\endfabstract}

2.11 Environments

45

2.11.5 Printing Verbatim

Text that is enclosed between \begin-[verbatim}- and \endfverbatim]- willbe directly printed, as if typed on a typewriter, with all line breaks andspaces, without any UTj^X command being executed.

Within a paragraph, similar behavior can be accessed with

\verb+text+

The + is just an example of a delimiter character. Use any character exceptletters, * or space. Many UTf^X examples in this booklet are typeset withthis command.

The \verbI\ldotsI command \ldots

\beginfverbatim}

10 PRINT "HELLO WORLD20 GOTO 10\endfverbatim}

The \ldots command ...

10 PRINT "HELLO WORLD20 GOTO 10

\beginfverbatim*}the starred version ofthe verbatim

environment emphasizesthe spaces in the text\end{verbatim*}

The \verb command can be used in a similar fashion with a star:

theustarreduversionuoftheuuuuuuverbatimenvironmentuemphasizestheuspacesuuuinutheutext

\verb*|like this :-)

likeuuuthisu:-)

The verbatim environment and the \verb command may not be usedwithin parameters of other commands.

2.11.6 Tabular

The tabular environment can be used to typeset beautiful tables withoptional horizontal and vertical lines. UTf^X determines the width of thecolumns automatically.

The table spec argument of the

\beginftabular> [pos] {to&fe spec}

command defines the format of the table. Use an

0

for a column of left-

aligned text,

r

for right-aligned text, and

c

for centred text;

piwidthj

46

Typesetting Text

for a column containing justified text with line breaks, and [T] for a verticalline.

If the text in a column is too wide for the page, UTp^X won’t automaticallywrap it. Using piwidthj you can define a special type of column whichwill wrap-around the text as in a normal paragraph.

The pos argument specifies the vertical position of the table relative tothe baseline of the surrounding text. Use one of the letters [t], [b] and [c] tospecify table alignment at the top, bottom or centre.

Within a tabular environment, & jumps to the next column, \\ startsa new line and \hline inserts a horizontal line. Add partial lines by using\cline{i-j}, where i and j are the column numbers the line should extendover.

\begin{tabular}-{Ir111}

\hline

7C0 k hexadecimal \\

3700 k octal \\ \clinef2-2}

11111000000 k binary \\

\hline \hline1984 k decimal \\

\hline

\endftabular}

\begin{tabular}{Ipf4.7cm}I}

\hline

Welcome to Boxy’s paragraphWe sincerely hope you’llall enjoy the show.W\hline

\end{tabular}

The column separator can be specified with the | Of. . .}-1 construct. Thiscommand kills the inter-column space and replaces it with whatever isbetween the curly braces. One common use for this command is explainedbelow in the decimal alignment problem. Another possible application is tosuppress leading space in a table with @{} .

\begin{tabular}{@0 1 <§{}}

\hline

no leading spaceW\hline

\end{tabular}

Welcome to Boxy’s paragraph.We sincerely hope you’ll all en-joy the show.

2.11 Environments

47

\beginltabularMl}

\hline I

leading space left and rightW leading space left and right

\hline I

\endftabular}-

Since there is no built-in way to align numeric columns to a decimalpoint,23 we can “cheat” and do it by using two columns: a right-aligned integerand a left-aligned fraction. The ©{.} command in the \beginftabular]-line replaces the normal inter-column spacing with just a giving theappearance of a single, decimal-point-justified column. Don’t forget toreplace the decimal point in your numbers with a column separator (&)!A column label can be placed above our numeric “column” by using the\multicolumn command.

\beginftabularMc r } 1}

Pi expression &

\multicolumn{2}fc}{Value} \\\hline

$\pi$ & 3&1416 \\

$\pi~{\pi}$ & 36&46 \\

$(\pi~{\pi}r{\pi}$ & 80662&7 \\

\endftabular}-

Pi expression

Value

7r

3.1416

7r77

36.46

80662.7

\beginftabularM I c I c I }

\hline

\multicolumn{2}{IcI}{Ene} \\\hline

Mene & Muh! \\

\hline

\endftabular}

Ene

Mene

Muh!

Material typeset with the tabular environment always stays together onone page. If you want to typeset long tables, you might want to use thelongtable environments.

Sometimes the default DTgX tables do feel a bit cramped. So youmay want to give them a bit more breathing space by setting a higher\arraystretch and \tabcolsep value.

23If the ‘tools’ bundle is installed on your system, have a look at the dcolumn package.

48

Typesetting Text

\beginltabularM 111}

\hline

These lines\\\hlineare tight\\\hline\end{tabular}-

{\renewcommand{\arraystretch}--[l. 5}\renewcommand-[\tabcolsep}--[0.2cm.}\begin{tabularM 111}

\hline

less cramped\\\hlinetable layout\\\hline\end{tabular}-}

These linesare tight

less crampedtable layout

If you just want to grow the height of a single row in your table add aninvisible vertical bar24. Use a zero width \rule to implement this trick.

\beginltabularM I c I }

\hline

\rule{lpt}{4ex}Pitprop \ldots\\

\hline

\rule{0pt}{4ex}Strut\\

\hline

\end{tabularl

The pt and ex in the example above are Tj^X units. Read more on unitsin table 6.5 on page 130.

A number of extra commands, enhancing the tabular environment areavailable in the booktabs package. It makes the creation of professionallooking tables with proper spacing quite a bit simpler.

2.12 Floating Bodies

Today most publications contain a lot of figures and tables. These elementsneed special treatment, because they cannot be broken across pages. Onemethod would be to start a new page every time a figure or a table is toolarge to fit on the present page. This approach would leave pages partiallyempty, which looks very bad.

The solution to this problem is to ‘float’ any figure or table that does notfit on the current page to a later page, while filling the current page withbody text. UT^X offers two environments for floating bodies; one for tablesand one for figures. To take full advantage of these two environments it isimportant to understand approximately how U-Tf^X handles floats internally.Otherwise floats may become a major source of frustration, because UT^Xnever puts them where you want them to be.

24In professional typesetting, this is called a strut.

Pitprop ...

Strut

2.12 Floating Bodies

49

Let’s first have a look at the commands IATj^X supplies for floats:

Any material enclosed in a figure or table environment will be treatedas floating matter. Both float environments support an optional parameter

\begin{figurel [placement specifier'] or \begin{table> [... ]

called the placement specifier. This parameter is used to tell about the

locations to which the float is allowed to be moved. A placement specifier isconstructed by building a string of float-placing permissions. See Table 2.9.

For example, a table could be started with the following line

\begin-ftable}- [! hbp]

The placement specifier [! hbp] allows IATf^X to place the table right here(h) or at the bottom (b) of some page or on a special floats page (p), and allthis even if it does not look that good (!). If no placement specifier is given,the standard classes assume [tbp].

LT^X will place every float it encounters according to the placementspecifier supplied by the author. If a float cannot be placed on the currentpage it is deferred either to the figures queue or the tables queue.25 Whena new page is started, IAT^X first checks if it is possible to fill a special‘float’ page with floats from the queues. If this is not possible, the first floaton each queue is treated as if it had just occurred in the text: IATj^X triesagain to place it according to its respective placement specifiers (except ‘h,’which is no longer possible). Any new floats occurring in the text get placedinto the appropriate queues. IATgX strictly maintains the original order ofappearance for each type of float. That’s why a figure that cannot be placedpushes all further figures to the end of the document. Therefore:

25These are FIFO—‘first in first out’—queues!

Table 2.9: Float Placing Permissions.

Spec Permission to place the float ...h here at the very place in the text where it oc-curred. This is useful mainly for small floats,t at the top of a pageb at the bottom of a pagep on a special page containing only floats.

! without considering most of the internal parame-ters'1, which could otherwise stop this float frombeing placed.

“Such as the maximum number of floats allowed on one page.

50

Typesetting Text

If EYj^X is not placing the floats as you expected, it is often onlyone float jamming one of the two float queues.

While it is possible to give IAT^X single-location placement specifiers,this causes problems. If the float does not fit in the location specified itbecomes stuck, blocking subsequent floats. In particular, you should never,ever use the [h] option—it is so bad that in more recent versions of ETgX, itis automatically replaced by [ht].

Having explained the difficult bit, there are some more things to mentionabout the table and figure environments. Use the

\caption{ caption text}

command to define a caption for the float. A running number and the string“Figure” or “Table” will be added by ET^X.

The two commands

\listoffigures and \listoftables

operate analogously to the \tableof contents command, printing a list offigures or tables, respectively. These lists will display the whole caption, so ifyou tend to use long captions you must have a shorter version of the captionfor the lists. This is accomplished by entering the short version in bracketsafter the \caption command.

\caption [Short]{LLLLLoooooonnnnnggggg}

Use \label and \ref to create a reference to a float within your text.Note that the \label command must come after the \caption commandsince you want it to reference the number of the caption.

The following example draws a square and inserts it into the document.You could use this if you wanted to reserve space for images you are goingto paste into the finished document.

Figure~\ref{white}- is an example of Pop-Art.

\begin{f igure}- [! hbtp]

\makebox [\textwidth] {\f ramebox [5cm] {\rule{0pt]-{5cm}-}-}-\caption{Five by Five in Centimetres.\label{white}-}

\end{figure}

In the example above, ETjTpC will try really hard (!) to place the figure righthere (h).2(l If this is not possible, it tries to place the figure at the bottom (b)of the page. Failing to place the figure on the current page, it determines

26assuming the figure queue is empty.

2.13 Protecting Fragile Commands

51

whether it is possible to create a float page containing this figure and maybesome tables from the tables queue. If there is not enough material for aspecial float page, P-T^X starts a new page, and once more treats the figureas if it had just occurred in the text.

Under certain circumstances it might be necessary to use the

\clearpage or even the \cleardoublepage

command. It orders UTj^X to immediately place all floats remaining in thequeues and then start a new page, \cleardoublepage even goes to a newright-hand page.

You will learn how to include PostScript drawings in your UTj^X 2^documents later in this introduction.

2.13 Protecting Fragile Commands

Text given as arguments of commands like \caption or \section may showup more than once in the document (e.g. in the table of contents as well asin the body of the document). Some commands will break when used in theargument of \section-like commands. Compilation of your document willfail. These commands are called fragile commands—for example, \footnoteor \phantom. These fragile commands need protection (don’t we all?).Protect them by putting the \protect command in front of them. Now theywill work properly even when used in moving arguments.

\protect only affects the next command, not even to its arguments. Inmost cases a superfluous \protect won’t hurt.

\sectionfI am considerate

\protect\footnotefand protect my footnotes}}

Chapter 3

Typesetting MathematicalFormulae

Now you are ready! In this chapter, we will attack the main strength of T^X:mathematical typesetting. But be warned, this chapter only scratches the surface.While the things explained here are sufficient for many people, don't despairif you can't find a solution to your mathematical typesetting needs here. It ishighly likely that your problem is addressed in -dyVfcS-IATEX.

3.1 The A/\4«S-BTeX bundle

If you want to typeset (advanced) mathematics, you should use »dy\/f5-ETEX.The bundle is a collection of packages and classes for mathemat-

ical typesetting. We will mostly deal with the amsmath package which is apart of the bundle. -4A/f5-ET^ is produced by The American MathematicalSociety and it is used extensively for mathematical typesetting. ET^X itselfdoes provide some basic features and environments for mathematics, but theyare limited (or maybe it’s the other way around: »4A/f5-ET^X is unlimitedl)and in some cases inconsistent.

.Aa/^-ETeX is a part of the required distribution and is provided with allrecent IAl^X distributions.1 In this chapter, we assume amsmath is loadedin the preamble; \usepackage-famsmath}-.

3.2 Single Equations

A mathematical formula can be typeset in-line within a paragraph (text style),or the paragraph can be broken and the formula typeset separately (displaystyle). Mathematical equations within a paragraph are entered between $and $:

1If yours is missing it, go to CTAN://pkg/amslatex.

54

Typesetting Mathematical Formulae

Add $a$ squared and $b$ squaredto get $c$ squared. Or, usinga more mathematical approach:$a~2 + b~2 = c~2$

Add a squared and b squared to get csquared. Or, using a more mathematicalapproach: a2 + b2 = c2

\TeX-Q is pronounced as$\tau\epsilon\chi$\\[5pt]100~m$~-[3}$ of water\\[5pt]

This comes from my $\heartsuit$

is pronounced as rey100 m3 of waterThis comes from my 0

If you want your larger equations to be set apart from the rest of theparagraph, it is preferable to display them rather than to break the para-graph apart. To do this, you enclose them between \begin-fequation}- and\end-fequation}.2 You can then \label an equation number and refer to itsomewhere else in the text by using the \eqref command. If you want toname the equation something specific, you \tag it instead.

Add $a$ squared and $b$ squaredto get $c$ squared. Or, usinga more mathematical approach\begin-fequation}a~2 + b~2 = c~2\end{equation}

Einstein says\beginfequation}

E = mc~2 \labelfclever}\end{equation}

He didn’t say\beginfequation}

1+1=3 \tag{dumb}\end{equation}

This is a reference to\eqref{clever}.

Add a squared and b squared to get c

squared. Or, using a moreapproach

mathematical

2 i 7,2 2

a + b = c

(3.1)

Einstein says

E = me2

(3.2)

He didn’t say

1 + 1 = 3

(dumb)

This is a reference to (3.2).

If you don’t want EYfrX to number the equations, use the starred version ofequation using an asterisk, equation*, or even easier, enclose the equationin \ [ and \] :3

2This is an amsmath command. If you don’t have access to the package for some obscurereason, you can use IXIjH'X’s own displaymath environment instead.

3 This is again from amsmath. Standard IAITX’s has only the equation environmentwithout the star.

3.2 Single Equations

55

Add $a$ squared and $b$ squaredto get $c$ squared. Or, usinga more mathematical approach\begin{equation*}a~2 + b~2 = c~2\end{equation*}or you can type less for thesame effect:

\[ a~2 + b~2 = c~2 \]

Add a squared and b squared to get csquared. Or, using a more mathematicalapproach

2 I ,2 2

a + b = c

or you can type less for the same effect:

2 i 7.2 2

a + b = c

While \ [ is short and sweet, it does not allow switching between numberedand not numbered style as easily as equation and equation*.

Note the difference in typesetting style between text style and displaystyle equations:

This is text style:

$\lim_{n \to \infty}

\sum_{k=l}~n \frac{l}{k~2}

= \frac{\pi~2}{6}$.

And this is display style:

\begin-fequation}

\lim_-fn \to \infty}

\sum_-Ck=l}~n \frac{l}{k~2}

= \f rac-C\pi~2}{6}

\end{equation}

This is text style: lim^oc, Xa'=i =And this is display style:

1

lim V-,=

n—>oc L

k=1

7r

y

(3.3)

In text style, enclose tall or deep math expressions or sub expressionsin \smash. This makes IAT^X ignore the height of these expressions. Thiskeeps the line spacing even.

A $d_{e_{e_p}}$ mathematicalexpression followed by a$h~-[i~-[g~h}}$ expression. Asopposed to a smashed\smash{$d_{e_{e_p}}$} expressionfollowed by a

\smash{$h~{i~{g~h}}$} expression.

A dee mathematical expression followed

h

by a hl * * * expression. As opposed to g,smashed dee expression followed by a h*9expression.

3.2.1 Math Mode

There are also differences between math mode and text mode. For example,in math mode:

1. Most spaces and line breaks do not have any significance, as all spaces

are either derived logically from the mathematical expressions, or have

to be specified with special commands such as \,, \quad or \qquad

(we’ll get back to that later, see section 3.7).

56

Typesetting Mathematical Formulae

2. Empty lines are not allowed. Only one paragraph per formula.

3. Each letter is considered to be the name of a variable and will betypeset as such. If you want to typeset normal text within a formula(normal upright font and normal spacing) then you have to enter thetext using the \text{. . .} command (see also section 3.8 on page 70).

$\forall x \in \mathbffR}:\qquad x~{2} \geq 0$

$x~{2> \geq 0\qquad\textffor all }x\in\mathbf-[R}$

Mathematicians can be very fussy about which symbols are used: it wouldbe conventional here to use the ‘blackboard bold’ font, which is obtainedusing \mathbb from the package amssymb.1 The last example becomes

$x~{2> \geq 0\qquad\textffor all } x\in \mathbb{R}$

x2 > 0 for all x £ R.

See Table 3.14 on page 79 and Table 6.4 on page 125 for more math fonts.

3.3 Building Blocks of a Mathematical Formula

In this section, we describe the most important commands used in mathe-matical typesetting. Most of the commands in this section will not requireamsmath (if they do, it will be stated clearly), but load it anyway.

Lowercase Greek letters are entered as \alpha, \beta, \gamma, ...,uppercase letters are entered as \Gamma, \Delta, ...4 5

Take a look at Table 3.2 on page 75 for a list of Greek letters.

$\lambda,\xi,\pi,\theta,\mu,\Phi,\0mega,\Delta$

Exponents, Superscripts and Subscripts can be specified using theand the _ characters. Most math mode commands act only on the nextcharacter, so if you want a command to affect several characters, you haveto group them together using curly braces: {...}.

4amssymb is not a part of the -AyVfS-lAILX bundle, but it is perhaps still a part of yourlAT^X distribution. Check your distribution or go to CTAN: /fonts/amsfonts/latex/ toobtain it.

5There is no uppercase Alpha, Beta etc. defined in B-TgjX 2e because it looks the sameas a normal roman A, B.. .

3.3 Building Blocks of a Mathematical Formula

57

Table 3.3 on page 76 lists a lot of binary relations like C and _L.

$p~3_{ij} \qquadm_\text{Knuth}\qquad\sum_{k=l}~3 k \\ [5pt]a~x+y \neq a~{x+y}\qquade~{x~2} \neq {e~x}~2$

The square root is entered as \sqrt; the nth root is generated with\sqrt [n]. The size of the root sign is determined automatically by LXT^X.If just the sign is needed, use \surd.

See various kinds of arrows like ^ and ^ on Table 3.6 on page 77.

$\sqrt{x} \Leftrightarrow x~{l/2}

\quad \sqrt[3]{2}

\quad \sqrt{x~{2} + \sqrtfy}}

\quad \surd[x~2 + y~2] $

While the dot sign to indicate the multiplication operation is normallyleft out, it is sometimes written to help the eye in grouping a formula. Use\cdot to typeset a single centered dot. \cdots is three centered dots while\ldots sets the dots low (on the baseline). Besides that, there are \vdotsfor vertical and \ddots for diagonal dots. There are more examples insection 3.6.

$\Psi = v_l \cdot v_2\cdot \ldots \qquadn! = 1 \cdot 2\cdots (n-1) \cdot n$

The commands \overline and \underline create horizontal linesdirectly over or under an expression:

$0.\overline{3} =\underline{\underline{l/3}}$

The commands \overbrace andbraces over or under an expression:

$\underbrace{\overbrace{a+b+c}~6\cdot \overbrace{d+e+f}~7}_\text{meaning of life} = 42$

0.3 = 1/3

\underbrace create long horizontal

—

d' = v\ ■ V2 ■ ■ ■ ■ n! = 1 • 2 • • • (n — 1) • n

To add mathematical accents such as small arrows or tilde signs tovariables, the commands given in Table 3.1 on page 75 might be useful. Wide

58

Typesetting Mathematical Formulae

hats and tildes covering several characters are generated with \widetildeand \widehat. Notice the difference between \hat and \widehat and theplacement of \bar for a variable with subscript. The apostrophe mark ’gives a prime:

$f(x) = x~2 \qquad f’(x)

= 2x \qquad f’ ’ (x) = 2\\ [5pt]

\hat{XY} \quad \widehat{XY}

\quad \bar{x_0} \quad \bar{x}_0$

Vectors are often specified by adding small arrow symbols on the topsof variables. This is done with the \vec command. The two commands\overrightarrow and \overleftarrow are useful to denote the vector fromA to B:

$\vec{a} \qquad\vecfAB}- \qquad\overrightarrow{ABl$

Names of functions are often typeset in an upright font, and not in italicsas variables are, so M’gX supplies the following commands to typeset themost common function names:

\arccos

\cos

\csc

\exp

\ker

\limsup

\arcsin

\cosh

\deg

\gcd

Mg

\ln

\arctan

\cot

\det

\hom

\lim

Mog

\arg

\coth

\dim

\inf

\liminf

\max

\sinh

\sup

\tan

\tanh

\min

\Pr

\sec \sin

\beginfequation*}

\lim_fx \rightarrow 0}

\fracf\sin x}{x}=l\endfequation*}

For functions missing from the list, use the \DeclareMathOperatorcommand. There is even a starred version for functions with limits. Thiscommand works only in the preamble so the commented lines in the examplebelow must be put into the preamble.

7o\DeclareMathOperator{\argh}-[argh}-70\DeclareMathOperator*{\nut]-{Nut}

\begin{equation*}

3\argh = 2\nut_fx=l}

\end{equation*}

For the modulo function, there are two commands: \bmod for the binaryoperator “a mod 6” and \pmod for expressions such as “x = a (mod 6):”

3.3 Building Blocks of a Mathematical Formula

59

$a\bmod b \\x\equiv a \pmod{b}-$

a mod bx = a (mod b)

A built-up fraction is typeset with the \frac{. command. In

in-line equations, the fraction is shrunk to fit the line. This style is obtainablein display style with \tfrac. The reverse, i.e. display style fraction in text,is made with \dfrac. Often the slashed form 1/2 is preferable, because itlooks better for small amounts of ‘fraction material:’

In display style:\begin{equation*}

3/8 \qquad \frac{3}-[8}\qquad \tfrac{3}{8}\end{equation*}

In text style:$l\fracflM2}$~hours \qquad$l\dfrac{l}-[2}$-hours

Here the \partial command for partial derivatives is used:

In text style: lb hours

1- hours2

In display style:3/8

\begin{equation*}

\sqrtf\f racfx~2}fk+l}-}-\qquadx~\frac{2}-{k+l}\qquad\frac{\partial~2f}

{\partial x~2}\endfequation*}

2

a//

dx2

To typeset binomial coefficients or similar structures, use the command\binom from amsmath:

Pascal’s rule is\begin{equation*}

\binomfn}{k} =\binomfn-l}-[k}+ \binom{n-l}{k-l}\end{equation*}

For binary relations it may be useful to stack symbols over each other.\stackrel{#lM#2}- puts the symbol given in #1 in superscript-like size over#2 which is set in its usual position.

\begin{equation*}f_n(x) \stackrel{*}-[\approx} 1\end{equation*}

fn(x) « 1

Pascal’s rule is

n — 1k

n — 1k — 1

60

Typesetting Mathematical Formulae

The integral operator is generated with \int, the sum operator with\sum, and the product operator with \prod. The upper and lower limitsare specified with ~ and _ like superscripts and subscripts:

\begin-[equation*}

\sum_{i=l}-~n \qquad\int_0~{\frac{\pi}{2}} \qquad\prod_\epsilon\end{equation*}

To get more control over the placement of indices in complex expressions,amsmath provides the \substack command:

\begin-[equation*}

\sum~n_{\substack-[0<i<n \\j\subseteq i}}

P(i,j) = Q(i,j)

\end{equation*}

FTpX provides all sorts of symbols for bracketing and other delim-iters (e.g. [ ( || £). Round and square brackets can be entered with thecorresponding keys and curly braces with \{, but all other delimiters aregenerated with special commands (e.g. \updownarrow).

\begin-fequation*}

{a,b,c> \neq \{a,b,c\}

\end{equation*}

If you put \left in front of an opening delimiter and \right in front ofa closing delimiter, bT^X will automatically determine the correct size ofthe delimiter. Note that you must close every \left with a corresponding\right. If you don’t want anything on the right, use the invisible “\right. ”:

\begin-fequation*}

1 + \left (\frac{l}-[l-x~-[2}-}

\right)~3 \qquad

\left. \ddagger \frac{~}{~}\right)

\end{equation*}

In some cases it is necessary to specify the correct size of a mathematicaldelimiter by hand, which can be done using the commands \big, \Big, \biggand \Bigg as prefixes to most delimiter commands:

$\Big((x+l)(x-l)\Big)~{2}$\\

$\big( \Big( \bigg( \Bigg( \quad\big\> \Big\> \bigg\> \Bigg\} \quad\big\I \Big\I \bigg\I \Bigg\I \quad\big\Downarrow \Big\Downarrow\bigg\Downarrow \Bigg\Downarrow$

((a; + l)(a: — 1))

<( nil >

nil

a, b, c ^ {a, b, c}

n

Y P(i,j)=Q(i,j)

0 <i<n

61

3.4 Single Equations that are Too Long: multline

For a list of all delimiters available, see Table 3.8 on page 78.

3.4 Single Equations that are Too Long: multline

If an equation is too long, we have to wrap it somehow. Unfortunately,wrapped equations are usually less easy to read than not wrapped ones. Toimprove the readability, there are certain rules on how to do the wrapping:

1. In general one should always wrap an equation before an equality signor an operator.

2. A wrap before an equality sign is preferable to a wrap before anyoperator.

3. A wrap before a plus- or minus-operator is preferable to a wrap beforea multiplication-operator.

4. Any other type of wrap should be avoided if at all possible.

The easiest way to achieve such a wrapping is the use of the multlineenvironment:6

\begin{multline}

a + b + c + d + e + f+ g + h + i\\

= j + k + l+ m + n\end{multline}

The difference from the equation environment is that an arbitrary line-break(or also multiple line-breaks) can be introduced. This is done by putting a\\ on those places where the equation needs to be wrapped. Similarly toequation* there also exists a multline* version for preventing an equationnumber.

Often the IEEEeqnarray environment (see section 3.5) will yield betterresults. Consider the following situation:

\beginfequation}

a = b + c + d + e + f

+ g + h + i + j

+ k + l+ m + n + o + p

\labelfeq:equation_too_long}

\end{equation}

Here it is actually the RHS that is too long to fit on one line. The multlineenvironment creates the following output:

a = b+c+d+e+f+g+h+i+j+k+l+m+n+o■

(3.5)

cz —b —c —o? —e —f g h i

= j + k +1 + m + n (3.4)

'The multi ine-environment is from amsmath.

62

Typesetting Mathematical Formulae

\beginfmultline}-

a = b + c + d + e + f+g+h+i+j \\

+ k + l+ m + n + o + p\endfmultline}-

This is better than (3.5), but it has the disadvantage that the equalitysign loses its natural greater importance with respect to the plus operator infront of k. The better solution is provided by the IEEEeqnarray environmentthat will be discussed in detail in Section 3.5.

a=b+c+d+e+f+g+h+i+j

+ k + l + m + n + o + p (3.6)

3.5 Multiple Equations

In the most general situation we have a sequence of several equalities thatdo not fit onto one line. Here we need to work with vertical alignment inorder to keep the array of equations in a nice and readable structure.

Before we offer our suggestions on how to do this, we start with a fewbad examples that show the biggest drawbacks of some common solutions.

3.5.1 Problems with Traditional Commands

To group multiple equations the align environment' could be used:

\beginfalign}-a & = b + c \\& = d + e\endfalign}

a = b+ c

(3.7)

= d + e

(3.8)

this approach fails once a single line is too long:

\beginfalign}-a & = b + c& = d + e ++ j + k + 1& + m + n +

& = p + q +\endfalign}

\\

f + g + h + i\nonumber \\o \\r + s

a = b + c

(3.9)

=d+e+f+g+h+i+j

~b k + l

+ m + n + o

(3.10)

=p+q+r+s

(3.11)

Here + m should be below d and not below the equality sign. A TgXpertwill point out that \mathrel-[\phantom-[=}-}- \negmedspace {}, would addthe necessary space in front of +m+n+o, but since most users lack that kindof imagination, a simpler solution would be nice.

‘The align-environment can also be used to group several blocks of equations besideeach other. Another excellent use case for the IEEEeqnarray environment. Try an argumentlike {rCl+rCl}.

3.5 Multiple Equations

63

This is the moment where the eqnarray environment bursts onto thescene:

\begin-feqnarray}a& = &b + c\\

& = &d + e + f + g + h+ i+ j + k + 1 \nomimber \\

&& +\: m + n + o \\

& = &p + q + r + s\end{eqnarray}

a = b + c (3.12)

= d+e+f+g+h+i+j+k+l+ m + n + o (3.13)

= p+q+r+s (3-14)

It better but still not optimal. The spaces around the equality signsare too big. Particularly, they are not the same as in the mult line andequation environments:

\begin{eqnarray}a & = & a = a\end{eqnarray}

a = a = a (3.15)

... and the expression sometimes overlaps with the equation number eventhough there would be enough room on the left:

\begin{eqnarray}a & = & b + c\\

&=&d+e+f+g+ h~2+ i~2 + j

\labelfeq:faultyeqnarray}\endfeqnarray}

a = b + c (3.16)

= d + e + f + g + h~ + i^ 4(().17)

While the environment offers a command \lefteqn that can be used whenthe LHS is too long:

\begin{eqnarray}

\lefteqnfa + b + c + d

+ e + f + g + hl\nonumber\\& = &i + j + k+ l + m\\

& = &n + o + p + q + r + s\end{eqnarray}

ct + b + c + d + c + f + g + h= i + j + k + l + m (3.18)= n + o + p + q + r + s (3.19)

This is not optimal either as the RHS is too short and the array is notproperly centered:

64

Typesetting Mathematical Formulae

\begin{eqnarray}

\lefteqn{a + b + c + d+ e + f + g + h}

\nonumber \\k = k i + j\end{eqnarray}

Having badmouthed the competition sufficiently, I can now steer you gentlytowards the glorious ...

3.5.2 IEEEeqnarray Environment

The IEEEeqnarray environment is a very powerful command with manyoptions. Here, we will only introduce its basic functionalities. For moreinformation please refer to the manual.8

First of all, in order to be able to use the IEEEeqnarray environmentone needs to load the package9 lEEEtrantools. Include the following line inthe header of your document:

\usepackage[retainorgcmds]{lEEEtrantools}

The strength of IEEEeqnarray is the ability to specify the number ofcolumns in the equation array. Usually, this specification will be {rCl},he., three columns, the first column right-justified, the middle one centeredwith a little more space around it (therefore we specify capital C instead oflower-case c) and the third column left-justified:

\begin{IEEEeqnarray}{rCl}a & = & b + c\\

& = &d + e + f + g + h+ i + j + k \nonumber\\kk \negmedspace {}+l+m+n+

w

& = &p + q + r + s\end{IEEEeqnarray}

Any number of columns can be specified: {c} will give only one columnwith all entries centered, or {rCll} would add a fourth, left-justified columnto use for comments. Moreover, beside 1, c, r, L, C, R for math modeentries there are also s, t, u for left, centered, and right text mode entries.Additional space can be added with . and / and ? in increasing order.10Note the spaces around the equality signs in contrast to the space producedby the eqnarray environment.

8The official manual is called CTAN://macros/latex/contrib/IEEEtran/IEEEtran_H0WT0.pdf. The part about IEEEeqnarray can be found in Appendix F.

9The lEEEtrantools package may not be included in your setup, it can be found onCTAN.

10For more spacing types refer to Section 3.9.1.

a = b + c (3-21)

=d+e+f+g+h+i+j+k-t-1 T in + n + o (3.22)

= p + q + r + s (3.23)

65

3.5 Multiple Equations

3.5.3 Common Usage

In the following we will describe how we use IEEEeqnarray to solve the mostcommon problems.

If a line overlaps with the equation number as in (3.17), the command\IEEEeqnarraynumspace

can be used: it has to be added in the corresponding line and makes surethat the whole equation array is shifted by the size of the equation numbers(the shift depends on the size of the number!): instead of

\begin{IEEEeqnarray}frCl}a & = & b + c\\

& = &d + e + f + g + h+ i + j + k\\

& = &l+m + n\endfIEEEeqnarray}

we get

\begin{IEEEeqnarray}frCl}a & = & b + c\\

& = &d + e + f + g + h+ i + j + k

\IEEEeqnarraynumspace\\

& = &l+m + n.

\end{IEEEeqnarray}

If the LHS is too long, as a replacement for the faulty \lefteqn command,IEEEeqnarray offers the \IEEEeqnarraymulticol command which worksin all situations:

\begin{IEEEeqnarray}frCl}

\IEEEeqnarraymulticolf3MlMa + b + c + d + e + f+ g + h

}\nonumber\\ \quad& = & i + j\\

& = &k + l+ m\end{IEEEeqnarray}

The usage is identical to the \multicolumns command in the tabular-environment. The first argument {3} specifies that three columns shall becombined into one which will be left-justified {1}.

a + b + c + d+ e + f g h

= i + j (3-30)

= k + l + m (3.31)

a = b + c (3.27)

= d + e+ f + g + h + i+ j + k (3.28)= l + m + n. (3.29)

a = b + c (3.24)

= d + e + f + j + /i + i + j + (?3.25)= l + m + n (3.26)

66

Typesetting Mathematical Formulae

Note that by inserting \quad commands one can easily adapt the depthof the equation signs,11 e.g.,

\beginfIEEEeqnarrayMrCl}-

\IEEEeqnarraymulticol{3}-[l}{a + b + c + d + e + f+ g + h

}\nonumber\\ \qquad\qquad& = & i + j\\

& = &k + l+ m\end{IEEEeqnarray}

If an equation is split into two or more lines, FTf^X interprets the first+ or — as a sign instead of operator. Therefore, it is necessary to add anempty group {} before the operator: instead of

\beginfIEEEeqnarrayMrCl}-a & = & b + c\\

& = &d + e + f + g + h+ i + j + k \nonumber\\

&& + l + m + n + o

w

& = &p + q + r + s\end{IEEEeqnarray}

we should write

\begin{IEEEeqnarray}frCl}a & = & b + c\\

& = &d + e + f + g + h+ i + j + k \nonumber\\kk \negmedspace {}+l+m+n+

w

& = &p + q + r + s\end{IEEEeqnarray}

Note the space difference between + and l\ The construction {} + 1 forcesthe +-sign to be an operator rather than just a sign, and the unwantedensuing space between {} and + is compensated by a negative medium space

\negmedspace.

If a particular line should not have an equation number, the numbercan be suppressed using \nonumber (or \IEEEnonumber). If on such a linea label \labelfeq: . . .} is defined, then this label is passed on to the next

nI think that one quad is the distance that looks good for most cases.

a = b + c (3.37)

=d+e+f+g+h+i+j+k+ l + m + n+o (3.38)

= p + q + r + s (3.39)

a = b + c (3.34)

=d+e+f+g+h+i+j+k+1 + m + n + o (3.35)

= p + q + r + s (3.36)

a + b + c + d + e + f -t- g -t- h

= i + j (3.32)

= k + l + m (3.33)

3.6 Arrays and Matrices

67

equation number that is not suppressed. Place the labels right before theline-break \\ or the next to the equation it belongs to. Apart from improvingthe readability of the source code this prevents a compilation error when a\IEEEmulticol command follows the label-definition.

There also exists a *-version where all equation numbers are suppressed.In this case an equation number can be made to appear using the command\IEEEyesnumber:

\begin{IEEEeqnarray*}-[rCl}a& = &b + c\\

& = & d + e \IEEEyesnumber\\& = & f + g\end{IEEEeqnarray*}

a = b + c

= d+e (3.40)

= f + 9

Sub-numbers are also easily possible using \IEEEyessubnumber:

\begin{IEEEeqnarray}{rCl}a & = & b + c\IEEEye s subnumbe r\\

& = & d + e\nonumber\\

& = & f + g\IEEEye s subnumbe r\endfIEEEeqnarray}

a = b + c

(3.40a)

= d + e

= f + g

(3.40b)

3.6 Arrays and Matrices

To typeset arrays, use the array environment. It works in a similar way tothe tabular environment. The \\ command is used to break the lines:

\begin{equation*}

\mathbfIX} = \left(\beginfarrayMccc}

x_l & x_2 & \ldots \\x_3 & x_4 & \ldots \\\vdots & \vdots & \ddots\end{array} \right)\end{equation*}

( Xi

x2 ■■■ \

X =

x3

V :

x4 ...

The array environment can also be used to typeset piecewise functionsby using a “. ” as an invisible \right delimiter:

68

Typesetting Mathematical Formulae

\begin{equation*lI x I = \left\-C\begin{array}{rl}

-x & \textfif }■ x < 0,\\0 & \text{if } x = 0,\\x & \text{if } x > 0.\endfarrayl \right.\endfequation*}

,

f -x

if x < 0,

kl = \

; o

if x = 0,

1

l *

if x > 0.

The cases environment from amsmath simplifies the syntax, so it is wortha look:

\begin-fequation*}lx| =

\begin{cases}

-x & \text{if } x < 0,\\0 & \text{if } x = 0,\\x & \text{if } x > 0.\end{cases}

\endfequation*}

i

f-*

if x < 0,

M = \

0

if x = 0,

1

i*

if x > 0.

Matrices can be typeset by array, but amsmath provides a better solutionusing the different matrix environments. There are six versions with differentdelimiters: matrix (none), pmatrix (, bmatrix [, Bmatrix {, vmatrix | andVmatrix ||. You don’t have to specify the number of columns as with array.The maximum number is 10, but it is customisable (though it is not veryoften you need 10 columns!):

\begin{equation*}

\beginfmatrix}

1 & 2 \\

3 & 4

\end{matrix} \qquad\beginfbmatrix}

p_{ll} & p_{12} & \ldots& p_{ln> \\

p_f21} & p_{22} & \ldots& p_{2n> \\

\vdots & \vdots & \ddots& \vdots \\

p_{ml} & p_{m2l & \ldots& p_{mnl\end{bmatrix}\end{equation*}

Pn

Pl2 ■

■ ■ Pin

1

2

P21

P22

■ ■ P2n

3

4

_Pml

Pm2

• • Pmn

3.7 Spacing in Math Mode

69

3.7 Spacing in Math Mode

If the spacing within formulae chosen by is not satisfactory, it can be

adjusted by inserting special spacing commands: \, for y| quad (u), \: foryg quad (u) and \; for ^ quad (u). The escaped space character \u generates

a medium sized space comparable to the interword spacing and \quad (l l)

and \qquad § § produce large spaces. The size of a \quad corresponds

to the width of the character ‘M’ of the current font. \ ! produces a negativespace of — ^ quad (—u).

\begin{equation*}

\int_l~2 \ln x \mathrm{d}x\qquad

\int_l~2 \ln x \,\mathrm{d}x\end{equation*}

Note that ‘d’ in the differential is conventionally set in roman. In thenext example, we define a new command \ud (upright d) which produces “ d”(notice the spacing U before the d), so we don’t have to write it every time.The \newcommand is placed in the preamble.

\newcommand{\udM\, \mathrm{d}}

\begin{equation*}

\int_a~b f(x)\ud x\end{equation*}

If you want to typeset multiple integrals, you’ll discover that the spacingbetween the integrals is too wide. You can correct it using \!, but amsmathprovides an easier way for fine-tuning the spacing, namely the \iint, \iiint,\iiiint, and \idotsint commands.

\newcommand{\ud}{\,\mathrm{d}}

\begin{IEEEeqnarray*}{c}

\int\int f(x)g(y)

\ud x \ud y \\

\int\!\!\!\int

f(x)g(y) \ud x \ud y \\\iint f(x)g(y) \ud x \ud y\end{IEEEeqnarray*}

See the electronic document testmath.tex (distributed withor Chapter 8 of The WT^X Companion [3] for further details.

70

Typesetting Mathematical Formulae

3.7.1 Phantoms

When vertically aligning text using ~ and _ P-T^X is sometimes just a little toohelpful. Using the \phantom command you can reserve space for charactersthat do not show up in the final output. The easiest way to understand thisis to look at an example:

\beginfequation*}

{}~{14}_{6}\text{C>

\qquad \text{versus} \qquad-Q~-Cl4}_-[\phantom-[l}6}\text-[C}

\endfequation*}

If you want to typeset a lot of isotopes as in the example, the mhchempackage is very useful for typesetting isotopes and chemical formulae too.

g4C versus

3.8 Fiddling with the Math Fonts

Different math fonts are listed on Table 3.14 on page 79.

$\Re \qquad\mathcalfR} \qquad\mathfrak{R} \qquad\mathbb{R} \qquad $

The last two require amssymb or amsfonts.

Sometimes you need to tell PTf^X the correct font size. In math mode,this is set with the following four commands:

\displaystyle (123), \textstyle (123), \scriptstyle (123) and\scriptscriptstyle (123).

If is placed in a fraction, it’ll be typeset in text style unless you tellPT^X otherwise:

\beginfequation*}

P = \frac{\displaystyle{

\sum_-[i=l}~n (x_i- x)

(y_i- y)»

{\displaystylef\left[

\sum_{i=l}~n(x_i-x)~2\sum_{i=l}~n(y_i- y)~2\right]~{l/2}}}

\endfequation*}

Changing styles generally affects the way big operators and limits aredisplayed.

3? ■R 91 R

3.9 Theorems, Lemmas, . ..

71

3.8.1 Bold Symbols

It is quite difficult to get bold symbols in DTgX; this is probably intentionalas amateur typesetters tend to overuse them. The font change command\mathbf gives bold letters, but these are roman (upright) whereas math-ematical symbols are normally italic, and furthermore it doesn’t work onlower case Greek letters. There is a \boldmath command, but this can onlybe used outside math mode. It works for symbols too, though:

$\mu, M \qquad\mathbf{\mu}, \mathbffM}$

\qquad \boldmath{$\mu, M$}

The package amsbsy (included by amsmath) as well as the package bmfrom the tools bundle make this much easier as they include a \boldsymbolcommand:

$\mu, M \qquad

\boldsymbolI\mul, \boldsymbol{M}$

/z, M fi, M

/z, M /z, M n, M

3.9 Theorems, Lemmas, ...

When writing mathematical documents, you probably need a way to typeset“Lemmas”, “Definitions”, “Axioms” and similar structures.

\newtheorem{name} [counter\ {.text} [section]

The name argument is a short keyword used to identify the “theorem”.With the text argument you define the actual name of the “theorem”, whichwill be printed in the final document.

The arguments in square brackets are optional. They are both used tospecify the numbering used on the “theorem”. Use the counter argument tospecify the name of a previously declared “theorem”. The new “theorem”will then be numbered in the same sequence. The section argument allowsyou to specify the sectional unit within which the “theorem” should get itsnumbers.

After executing the \newtheorem command in the preamble of yourdocument, you can use the following command within the document.

\begin{ name} [text}

This is my interesting theorem\end{name}

The amsthm package (part of ) provides the \theoremstyleistyle}

command which lets you define what the theorem is all about by picking

72

Typesetting Mathematical Formulae

from three predefined styles: definition (fat title, roman body), plain (fattitle, italic body) or remark (italic title, roman body).

This should be enough theory. The following examples should removeany remaining doubt, and make it clear that the \newtheorem environmentis way too complex to understand.

First define the theorems:

\theoremstyle-[def inition} \newtheorem-[law}-[Law}\theoremstyle-Cplain} \newtheorem-Cjury} [law] {Jury}

\theoremstyle-[remark}- \newtheorem*fmargMMargaret}

\begin{law} \label{law:box}

Don’t hide in the witness box\end{law}

\begin{jury}[The Twelve]

It could be you! So beware andsee law~\ref{law:box}.\end{jury}\begin{jury}

You will disregard the laststatement.\end{jury}\begin{marg}No, No, No\end{marg}\begin{marg}Denis!\end{marg}

Law 1. Don’t hide in the witness box

Jury 2 (The Twelve). It could be you! Sobeware and see law 1.

Jury 3. You will disregard the last state-ment.

Margaret. No, No, NoMargaret. Denis!

The “Jury” theorem uses the same counter as the “Law” theorem, so itgets a number that is in sequence with the other “Laws”. The argument insquare brackets is used to specify a title or something similar for the theorem.

\newtheorem{mur}-[Murphy} [section]

\begin{mur} If there are two ormore ways to do something, andone of those ways can result ina catastrophe, then someonewill do it.\endfmur}

The “Murphy” theorem gets a number that is linked to the number ofthe current section. You could also use another unit, for example chapter orsubsection.

If you want to customize your theorems down to the last dot, the ntheorempackage offers a plethora of options.

3.9.1 Proofs and End-of-Proof Symbol

The amsthm package also provides the proof environment.

Murphy 3.9.1. If there are two or moreways to do something, and one of thoseways can result in a catastrophe, thensomeone will do it.

3.9 Theorems, Lemmas, . ..

73

\beginfproof}

Trivial, use\begin-[equation*}

E=mc~2.

\endfequation*}

\endfproof}

With the command \qedhere you can move the ‘end of proof’ symbolaround for situations where it would end up alone on a line.

\begin{proof}

Trivial, use\beginfequation*}

E=mc~2. \qedhere\endfequation*}

\endfproof}

Unfortunately, this correction does not work for IEEEeqnarray:

\begin{proof}

This is a proof that endswith an equation array:

\begin{IEEEeqnarray*}{rCl}a& = &b + c\\

& = & d + e. \qedhere\end{IEEEeqnarray*}

\endfproof}

The reason for this is the internal structure of IEEEeqnarray: it alwaysputs two invisible columns at both sides of the array that only contain astretchable space. By this IEEEeqnarray ensures that the equation arrayis horizontally centered. The \qedhere command should actually be putoutside this stretchable space, but this does not happen as these columnsare invisible to the user.

There is a very simple remedy. Define the stretching explicitly!

\beginfproof}

This is a proof that endswith an equation array:

\begin{IEEEeqnarray*}-[+rCl+x*}a&=&b+c\\

& = & d + e. & \qedhere\end{IEEEeqnarray*}

\endfproof}

Note that the + in {+rCl+x*}- denotes stretchable spaces, one on the leftof the equations (which, if not specified, will be done automatically byIEEEeqnarray!) and one on the right of the equations. But now on the

74

Typesetting Mathematical Formulae

right, after the stretching column, we add an empty column x. This columnwill only be needed on the last line if the \qedhere command is put there.Finally, we specify a *. This is a null-space that prevents IEEEeqnarrayfrom adding another unwanted +-space!

In the case of equation numbering, there is a similar problem. Comparing

\begin{proof}

This is a proof that endswith a numbered equation:

\beginfequation}a = b + c.

\end{equation}

\end{proof}

with

\begin{proof}

This is a proof that endswith a numbered equation:

\beginfequation}

a = b + c. \qedhere\endfequation}

\endfproof}

you notice that in the (correct) second version the □ is much closer to theequation than in the first version.

Similarly, the correct way of putting the QED-symbol at the end of anequation array is as follows:

\begin{proof}

This is a proof that endswith an equation array:

\begin{IEEEeqnarray}f+rCl+x*}a& = &b + c\\k = k d + e. \\kkk \qedhere\nomimber\end{IEEEeqnarray}

\endfproof}

which contrasts with

\begin{proof}

This is a proof that endswith an equation array:\begin{IEEEeqnarray}frCl}a& = &b + c\\k = k d + e.

\end{IEEEeqnarray}\end{proof}

Proof. This is a proof that ends with anequation array:

a = b + c (3.45)

= d + e. (3.46)

□

Proof. This is a proof that ends with anequation array:

a = b + c (3.43)

= d+e. (3.44)

□

Proof. This is a proof that ends with anumbered equation:

a = b + c. (3-41)

□

Proof. This is a proof that ends with anumbered equation:

a = b + c. (3.42)

□

75

3.10 List of Mathematical Symbols

3.10 List of Mathematical Symbols

The following tables demonstrate all the symbols normally accessible frommath mode.

Note that some tables show symbols only accessible after loading theamssymb package in the preamble of your document12. If the AxjS pack-age and fonts are not installed on your system, have a look at CTAN:pkg/amslatex. An even more comprehensive list of symbols can be foundat CTAN:info/symbols/comprehensive.

Table 3.1: Math Mode Accents.

a

\hatfa}-

a

\checkfa}-

a

\tilde-fa}-

a

\gravefa}-

a

\dotfa}-

a

\ddotfa}-

a

\barfa}-

a

\vecfa}-

AAA

\widehatfAAA}-

a

\acute-fa}-

a

\brevefa}-

AAA

\widetildefAAA}-

a

\mathring-fa}-

Table 3.2: Greek Letters.

There is no uppercase of some of the letters like \Alpha, \Beta and so on,because they look the same as normal roman letters: A, B...

a

\alpha

9

\theta

o

0

V

\upsilon

P

\beta

9

\vartheta

7r

\pi

<t>

\phi

7

\gamma

i

\iota

vj

\varpi

P

\varphi

\delta

K

\kappa

P

\rho

X

\chi

e

\epsilon

A

\lambda

e

\varrho

V’

\psi

£

\varepsilon

M

\mu

(7

\sigma

CjJ

\omega

c

\zeta

V

\nu

A

\varsigma

V

\eta

i

\xi

T

\tau

r

\Gamma

A

\Lambda

E

\Sigma

'P

\Psi

A

\Delta

\Xi

T

\Upsilon

n

\0mega

0

\Theta

n

\Pi

$

\Phi

12The tables were derived from symbols . tex by David Carlisle and subsequently changedextensively as suggested by Josef Tkadlec.

76

Typesetting Mathematical Formulae

Table 3.3: Binary Relations.

You can negate the following symbols by prefixing them with a \not com-mand.

<

<

>

>

=

—

<

\leq or \le

>

\geq or \ge

=

\equiv

<

\11

>

\gg

=

\doteq

\prec

\succ

r\j

\sim

©

\preceq

©

\succeq

\simeq

C

\subset

D

\supset

Rj

\approx

C

\subseteq

D

\supseteq

r^>

\cong

c

\sqsubset a

□

\sqsupset a

N

\Join “

c

\sqsubseteq

□

\sqsupseteq

CXI

\bowtie

e

\in

\ni , \owns

oc

\propto

b

\vdash

H

\dashv

\models

|

\mid

||

\parallel

_L

\perp

—

\smile

—

\frown

x

\asymp

\notin

+

\neq or \ne

“Use the latexsym package to access this symbol

Table 3.4: Binary Operators.

+

+

—

-

±

\pm

©

\mp

<

\triangleleft

\cdot

©

\div

>

\t riangleright

X

\times

\

\setminus

'k

\star

u

\cup

n

\cap

*

\ast

u

\sqcup

n

\sqcap

O

\circ

V

\vee , \lor

A

\wedge , \land

•

\bullet

©

\oplus

©

\ominus

o

\diamond

©

\odot

0

\oslash

©

\uplus

©

\otimes

O

\bigcirc

II

\amalg

A

\bigtriangleup

V

\bigtriangledown

t

\dagger

<1

\lhd a

D>

\rhd a

t

\ddagger

<

\unlhd a

>

\unrhd “

l

\wr

toJ- to I ba--

3.10 List of Mathematical Symbols

77

Table 3.5: BIG Operators.

\sum

II \prodjj \coprod/ \int© \bigoplus

U \bigcupD \bigcapU \bigsqcup\oint

© \bigotimes

V \bigveeA \bigwedgel+J \biguplus© \bigodot

Table 3.6: Arrows.

<— \leftarrow or \gets—>• \rightarrow or \to•H- \leftrightarrow<= \Leftarrow=>• \Rightarrow

\LeftrightarrowH> \mapsto’ \hookleftarrow\leftharpoonupt— \leftharpoondown^ \rightleftharpoonsf \uparrow£ \updownarrowJJ. \Downarrow© \nearrow© \swarrow\leadsto a

i

ft

$

\

\

\longleftarrow\longrightarrow\longleftrightarrow\Longleftarrow\Longrightarrow\Longleftrightarrow\longmapsto\hookrightarrow\rightharpoonup\rightharpoondown\iff (bigger spaces)\downarrow\Uparrow\Updownarrow\searrow\nwarrow

“Use the latexsym package to access this symbol

Table 3.7: Arrows as Accents.

XoverrightarrowfAB}

\overleftarrow-[AB}-

\overleftrightarrow-[AB}

.4 / j \underrightarrow{AB}j^B \underleftarrow{AB}

AB \underleftrightarrow{AB}

78

Typesetting Mathematical Formulae

Table 3.8: Delimiters.

(

(

)

)

t

\uparrow

[

[ or \lbrack

]

] or\rbrack

\downarrow

{

\{ or \lbrace

}

\> or \rbrace

t

\updownarrow

(

Mangle

)

\rangle

\Uparrow

1

I or \vert

||

\ | or \Vert

\Downarrow

/

/

\

\backslash

$

\Updownarrow

L

\lfloor

J

\rfloor

1

\rceil

r

\lceil

Table 3.9: Large Delimiters.

' \lgroup

I

| \rgroup

1

\lmoustache

1

\arrowvert

\rmoustache

\Arrowvert

1

\bracevert

Table 3.10: Miscellaneous Symbols.

\dots

\cdots

\vdots

\ddots

h

\hbar

i

\imath

J

\jmath

£

\ell

K

\Re

\Im

N

\aleph

P

\wp

V

\forall

3

\exists

U

\mho a

d

Xpartial

/

)

/

\prime

0

\emptyset

oo

\infty

V

\nabla

A

\triangle

□

XBox a

O

\Diamond a

_L

\bot

T

\top

Z

\angle

V

\surd

❖

\diamondsuit

9

\heartsuit

*

\clubsuit

4

\spadesuit

—1

\neg or \lnot

b

\f lat

1]

\natural

H

\sharp

“Use the latexsym package to access this symbol

Table 3.11: Non-Mathematical Symbols.

These symbols can also be used in text mode.

f \dag § \S © \copyright ® \textregistered

t \ddag \P £ \pounds % \%

79

3.10 List of Mathematical Symbols

Table 3.12: Am,S Delimiters.

r \ulcorner n \urcorner e \llcorner j \lrcorner

\lvert | \rvert || \lVert |j \rVert

Table 3.13: A/14S Greek and Hebrew.

F \digamma x \varkappa 3 \beth 2 \gimel ~I \daleth

Table 3.14: Math Alphabets.

See Table 6.4 on 125 for other math fonts.

Example

ABCDEabcdel234

ABCDEabcdel234

ABC D Eabcdei2^

ABeve,

sfSSKQS

2123 CD <£ ab cc) C1234

ABCBEDimt^

Command

\mathrm-[ABCDE abode 1234}\mathit{ABODE abode 1234}XmathnormalfABODE abode 1234}\mathcal{ABCDE abode 1234}\mathscr{ABCDE abode 1234}\mathfrakfABCDE abode 1234}\mathbb{ABCDE abode 1234}

Required package

mathrsfs

amsfonts or amssymbamsfonts or amssymb

Table 3.15:

Aj\/lS Binary

Operators.

+

\dotplus

.

\centerdot

K

\ltimes

XI

\rtimes

\divideontimes

iyj

\doublecup

(Til

\doublecap

\

\smallsetminus

V

\veebar

A

\barwedge

A

\doublebarwedge

ffl

\boxplus

B

\boxminus

0

\circleddash

IEI

\boxtimes

□

\boxdot

®

\circledcirc

T

\intercal

©

\circledast

X

\rightthreetimes

T

\curlyvee

X

\curlywedge

X

\leftthreetimes

80

Typesetting Mathematical Formulae

Table 3.16: Aj\y[S Binary Relations.

<

\lessdot

>

\gtrdot

=

\doteqdot

\leqslant

\geqslant

\risingdotseq

<

\eqslantless

\eqslantgtr

'=

\fallingdotseq

<

\leqq

>

\geqq

ZE

\eqcirc

\111 or \llless

;§>

\ggg

o

\circeq

<

\lesssim

>

\gtrsim

A_

\triangleq

<

\lessapprox

>

\gtrapprox

\bumpeq

5

\lessgtr

5

\gtrless

=0=

\Bumpeq

<

>

\lesseqgtr

>

<

\gtreqless

\thicksim

<

>

\lesseqqgtr

>

<

\gtreqqless

\thickapprox

\preccurlyeq

>

\succcurlyeq

\approxeq

A

\curlyeqprec

>

\curlyeqsucc

\backsim

-<

\precsim

>-

\succsim

\backsimeq

A

\precapprox

\succapprox

N

\vDash

C

\subseteqq

D

\supseteqq

lb

Wdash

n

\shortparallel

2)

\Supset

lib

Wvdash

◄

\blacktriangleleft

□

\sqsupset

3

\backepsilon

>

\vartriangleright

\because

oc

\varpropto

►

\blacktriangleright

<E

\Subset

\between

>

\trianglerighteq

\smallfrown

l+l

\pitchfork

<1

\vartriangleleft

1

\shortmid

-

\smallsmile

<

\trianglelefteq

\therefore

C

\sqsubset

3.10 List of Mathematical Symbols

81

Table 3.17: A\4S Arrows.

<---

\dashleftarrow

A

\dashrightarrow

\leftleftarrows

\rightrightarrows

44

\leftrightarrows

\rightleftarrows

\Lleftarrow

\Rrightarrow

«—

\twoheadleftarrow

\twoheadrightarrow

<-<

\leftarrowtail

>-►

\rightarrowtail

\leftrightharpoons

\rightleftharpoons

"1

\Lsh

\Rsh

\looparrowleft

\looparrowright

■SX

\curvearrowleft

rx

\curvearrowright

a

\circlearrowleft

O

\circlearrowright

0

\multimap

TT

\upuparrows

u

\downdownarrows

1

\upharpoonleft

r

\upharpoonright

l

\downharpoonright

\rightsquigarrow

\leftrightsquigarrow

82

Typesetting Mathematical Formulae

Table 3.18: Aj\y[S Negated Binary Relations and Arrows.

it

\nless

>

\ngtr

\varsubsetneqq

<

\lneq

>

\gneq

\varsupsetneqq

2

\nleq

2

\ngeq

%

\nsubseteqq

£

\nleqslant

£

\ngeqslant

2

\nsupseteqq

<

\lneqq

>

\gneqq

t

\nmid

<

=i=

\lvertneqq

>

=t=

\gvertneqq

\nparallel

\nleqq

£

\ngeqq

t

\nshortmid

<

rp

\lnsim

>

rp

\gnsim

H

\nshortparallel

<

&

\lnapprox

>

&

\gnapprox

rp

\nsim

\nprec

i-

\nsucc

2

\ncong

£

\npreceq

t

\nsucceq

Y

\nvdash

<

\precneqq

>-

\succneqq

Y

\nvDash

rp

\precnsim

p

rp

\succnsim

¥

\nVdash

P

se

\precnapprox

P

f#

\succnapprox

¥

\nVDash

C

\subsetneq

D

\supsetneq

£

\ntriangleleft

£

\varsubsetneq

2

\varsupsetneq

\ntriangleright

£

\nsubseteq

t

\nsupseteq

£

\ntrianglelefteq

c

\subsetneqq

D

\supsetneqq

\ntrianglerighteq

W-

\nleftarrow

\nrightarrow

\nleftrightarrow

\nLeftarrow

\nRightarrow

\nLeftrightarrow

Table 3.19: Aj\y[S Miscellaneous.

h

\hbar

n

\hslash

k

\Bbbk

□

\square

U

\blacksquare

(D

\circledS

A

\vartriangle

▲

\blacktriangle

C

\complement

V

\triangledown

T

\blacktriangledown

D

\Game

0

\lozenge

♦

\blacklozenge

★

\bigstar

Z

\angle

z

\measuredangle

/

\diagup

\

\diagdown

\

\backprime

$

\nexists

J

\Finv

0

\varnothing

s

\eth

<

\sphericalangle

U

\mho

Chapter 4

Specialities

When putting together a large document, PTeX will help with some specialfeatures like index generation, bibliography management, and other things. Amuch more complete description of specialities and enhancements possible withlAT^X can be found in the WT^X Manual [1] and The J^TppC Companion [3].

4.1 Including Encapsulated PostScript

IATgX provides the basic facilities to work with floating bodies, such asimages or graphics, with the figure and table environments.

There are several ways to generate the actual graphics with basic ETj^Xor a IAT^X extension package, a few of them are described in chapter 5.Please refer to The IfiTfiX Companion [3] and the L^Tpp( Manual [ ] for moreinformation on that subject.

A much easier way to get graphics into a document is to generate themwith a specialised software package1 and then include the finished graphicsin the document. Here again, IAT^X packages offer many ways to do this,but this introduction will only discuss the use of Encapsulated PostScript(EPS) graphics, because it is quite easy to do and widely used. In orderto use pictures in the EPS format, you must have a PostScript printer2available for output.

A good set of commands for inclusion of graphics is provided in thegraphicx package by D. P. Carlisle. It is part of a whole family of packagescalled the “graphics” bundle.3

When working on a system with a PostScript printer available foroutput and with the graphicx package installed, use the following step by

1Such as XFig, Gnuplot, Gimp, Xara X ...

2Another possibility to output PostScript is the GhostScript program availablefrom CTAN: //support/ghostscript. Windows and OS/2 users might want to look forGSview.

3CTAN://pkg/graphics

84

Specialities

step guide to include a picture into your document:

1. Export the picture from your graphics program in EPS format.

2. Load the graphicx package in the preamble of the input file with

\usepackage[driver]{graphicx}

where driver is the name of your “dvi to PostScript” converterprogram. The most widely used program is called dvips. The name ofthe driver is required, because there is no standard on how graphicsare included in T[h]X. Knowing the name of the driver, the graphicxpackage can choose the correct method to insert information about thegraphics into the . dvi file, so that the printer understands it and cancorrectly include the . eps file.

3. Use the command

\includegraphics [key=value, ... ] {file}

to include file into your document. The optional parameter accepts acomma separated list of keys and associated values. The keys can beused to alter the width, height and rotation of the included graphic.Table 4.1 lists the most important keys.

Table 4.1: Key Names for graphicx Package.

width scale graphic to the specified widthheight scale graphic to the specified heightangle rotate graphic counterclockwisescale scale graphic

4If your software cannot export into EPS format, you can try to install a PostScriptprinter driver (such as an Apple LaserWriter, for example) and then print to a Hie withthis driver. With some luck this file will be in EPS format. Note that an EPS must notcontain more than one page. Some printer drivers can be explicitly configured to produceEPS format.

85

4.2 Bibliography

The following example code may help to clarify things:

\begin{f igure}-\centering

\includegraphics [angle=90,

width=0.5\textwidth] {test}

\caption{This is a test.j-\end{f igure}-

It includes the graphic stored in the file test.eps. The graphic is firstrotated by an angle of 90 degrees and then scaled to the final width of 0.5times the width of a standard paragraph. The aspect ratio is 1.0, becauseno special height is specified. The width and height parameters can also bespecified in absolute dimensions. Refer to Table 6.5 on page 130 for moreinformation. If you want to know more about this topic, make sure to read[9] and [13].

4.2 Bibliography

Produce a bibliography with the thebibliography environment. Each entrystarts with

\bibitem [label] {marker}

The marker is then used to cite the book, article or paper within thedocument.

\ c i t e Onarfcer }

If you do not use the label option, the entries will get enumerated auto-matically. The parameter after the \begin{thebibliography}- commanddefines how much space to reserve for the number of labels. In the examplebelow, {99}- tells BT^X to expect that none of the bibliography item numberswill be wider than the number 99.

Partl~\cite{pa} hasproposed that \ldots\begin{thebibliography}{99}\bibitem{pa} H.-Parti:\emph{German \TeXl,

TUGboat Volume-9, Issue-1 (1988)\end{thebibliography}

Parti [ ] has proposed that ...

Bibliography

[1] H. Parti: German TfiX, TUGboatVolume 9, Issue 1 (1988)

86

Specialities

For larger projects, you might want to check out the BibTgX program.BibTj^X is included with most T^X distributions. It allows you to maintaina bibliographic database and then extract the references relevant to thingsyou cited in your paper. The visual presentation of BibTgX-generatedbibliographies is based on a style-sheets concept that allows you to createbibliographies following a wide range of established designs.

4.3 Indexing

A very useful feature of many books is their index. With IXI^X and thesupport program makeindex,5 an index can be generated quite easily. Thisintroduction will only explain the basic index generation commands. For amore in-depth view, please refer to The HfTpjX Companion [ ].

To enable their indexing feature of BTjrX, the makeidx package must beloaded in the preamble with

Xusepackagefmakeidxl

and the special indexing commands must be enabled by putting the

\makeindex

command in the preamble.

The content of the index is specified with

\ind ex{key@formatted_entryy

commands, where formatted__entry will appear in the index and key will beused for sorting. The formatted_entry is optional. If it is missing the keywill be used. You enter the index commands at the points in the text thatyou want the final index entries to point to. Table 4.2 explains the syntaxwith several examples.

When the input file is processed with FT[h]X, each \index commandwrites an appropriate index entry, together with the current page number,to a special hie. The hie has the same name as the IAIj^X input hie, but adifferent extension (. idx). This . idx hie can then be processed with themakeindex program:

makeindex filename

The makeindex program generates a sorted index with the same base hiename, but this time with the extension . ind. If now the FY^X input hie is

“On systems not necessarily supporting filenames longer than 8 characters, the programmay be called makeidx.

4.4 Fancy Headers

87

Table 4.2: Index Key Syntax Examples.

Example

Index Entry

Comment

\index{hello}

hello, 1

Plain entry

\index{hello!Peter}

Peter, 3

Subentry under ‘hello’

\index{Sam@\textsl{Sam}}

Sam, 2

Formatted entry

\index{Lin@\textbf{Lin}}

Lin, 7

Formatted entry

\index{Kaese@K\"ase}

Kase, 33

Formatted entry

\index{ecole@\’ecole}

ecole, 4

Formatted entry

\index{JennyItextbf}

Jenny, 3

Formatted page number

\index{Joe Itextit}

Joe, 5

Formatted page number

processed again, this sorted index gets included into the document at thepoint where finds

\printindex

The showidx package that comes with ET^]X2£ prints out all index entriesin the left margin of the text. This is quite useful for proofreading a documentand verifying the index.

Note that the \index command can affect your layout if not used carefully.

My Word \index{Word}. As opposedto Word\index{Word}. Note theposition of the full stop.

My Word . As opposed to Word. Note theposition of the full stop.

make index has no clue about characters outside the ASCII range. Toget the sorting correct, use the @ character as shown in the Kase and ecoleexamples above.

4.4 Fancy Headers

The fancyhdr package,6 written by Piet van Oostrum, provides a few simplecommands that allow you to customize the header and footer lines of yourdocument. Look at the top of this page, for an application of this package.

The tricky problem when customising headers and footers is to get thingslike running section and chapter names in there. IAT^X accomplishes thiswith a two-stage approach. In the header and footer definition, you usethe commands \rightmark and \leftmark to represent the current section

6Available from CTAN://macros/latex/contrib/supported/f ancyhdr.

88

Specialities

\documentclass-[book}-\usepackage-[f ancyhdr}-\pagestyle{fancy}

*/. with this we ensure that the chapter and section% headings are in lowercase.\renewcommand-[\chaptermark}- [1] {%

\markboth-[#l}{}}

\renewcommand-[\sectionmark}- [1] {%

\markright{\thesection\ #1}}-\fancyhf{} '/„ delete current header and footer\fancyhead[LE,RO]{\bfseries\thepage}

\fancyhead[LQ]{\bfseries\rightmark}

\fancyhead[RE]{\bfseries\leftmark}\renewcommand-C\headrulewidthMO. 5pt}\renewcommand-[\footrulewidth}--[Opt}-

\addtolength-C\headheightMO • 5pt} % space for the rule\fancypagestyle{plain}{%

\fancyhead-Q % get rid of headers on plain pages\renewcommand-C\headrulewidthMOpt}- % and the line

>

Figure 4.1: Example fancyhdr Setup.

4.5 The Verbatim Package

89

and chapter heading, respectively. The values of these two commands areoverwritten whenever a chapter or section command is processed.

For ultimate flexibility, the \chapter command and its friends do notredefine \rightmark and \leftmark themselves. They call yet anothercommand (\chaptermark, \sectionmark, or \subsectionmark) that is re-sponsible for redefining \rightmark and \leftmark.

If you want to change the look of the chapter name in the header line,you need only “renew” the \chaptermark command.

Figure 4.1 shows a possible setup for the fancyhdr package that makesthe headers look about the same as they look in this booklet. In any case, Isuggest you fetch the documentation for the package at the address mentionedin the footnote.

4.5 The Verbatim Package

Earlier in this book, you got to know the verbatim environment. In thissection, you are going to learn about the verbatim package. The verbatimpackage is basically a re-implementation of the verbatim environment thatworks around some of the limitations of the original verbatim environment.This by itself is not spectacular, but the implementation of the verbatimpackage added new functionality, which is why I am mentioning the packagehere. The verbatim package provides the

\verbat iminput {filename}

command, which allows you to include raw ASCII text into your documentas if it were inside a verbatim environment.

As the verbatim package is part of the ‘tools’ bundle, you should find itpre-installed on most systems. If you want to know more about this package,make sure to read [10].

4.6 Installing Extra Packages

Most ET^X installations come with a large set of pre-installed style packages,but many more are available on the net. The main place to look for stylepackages on the Internet is CTAN (http://www.ctan.org/).

Packages such as geometry, hyphenat, and many others are typically madeup of two files: a file with the extension . ins and another with the extension.dtx. There will often be a readme.txt with a brief description of thepackage. You should of course read this file first.

In any event, once you have copied the package files onto your machine,you still have to process them in a way that (a) tells your T^X distribution

90

Specialities

about the new style package and (b) gives you the documentation. Here’show you do the first part:

1. Run Mi^^X on the .ins file. This will extract a .sty file.

2. Move the . sty file to a place where your distribution can find it. Usuallythis is in your . . ./ localtexmf /tex/latex subdirectory (Windows orOS/2 users should feel free to change the direction of the slashes).

3. Refresh your distribution’s file-name database. The command de-pends on the Maldistribution you use: TgXlive - texhash; web2c -maktexlsr; MiKT^X - initexmf —update-fndb or use the GUI.

Now extract the documentation from the . dtx file:

1. Run on the . dtx file. This will generate a . dvi file. Note that you

may have to run M?gX several times before it gets the cross-referencesright.

2. Check to see if has produced a . idx file among the various files

you now have. If you do not see this file, then the documentation hasno index. Continue with step 5.

3. In order to generate the index, type the following:

makeindex -s gind.ist name

(where name stands for the main-file name without any extension).

4. Run M^X on the . dtx file once again.

5. Last but not least, make a .ps or .pdf hie to increase your readingpleasure.

Sometimes you will see that a .glo (glossary) hie has been produced.Run the following command between step 4 and 5:

makeindex -s gglo.ist -o name.gls name.glo

Be sure to run DTgX on the .dtx one last time before moving on to step 5.

4.7 Working with pdfl^Tf^X

By Daniel Flipo <Daniel .FlipoOuniv-lillel. f r>

PDF is a portable hypertext document format. Much as in a web page,some words in the document are marked as hyperlinks. They link to otherplaces in the document or even to other documents. If you click on such ahyperlink you get transported to the destination of the link. In the contextof Mlf^X, this means that all occurrences of \ref and \pageref becomehyperlinks. Additionally, the table of contents, the index and all the othersimilar structures become collections of hyperlinks.

4.7 Working with pdflATEX

91

Most web pages you find today are written in HTML (HyperText MarkupLanguage). This format has two significant disadvantages when writingscientific documents:

1. Including mathematical formulae into HTML documents is not gener-ally supported. While there is a standard for it, most browsers usedtoday do not support it, or lack the required fonts.

2. Printing HTML documents is possible, but the results vary widelybetween platforms and browsers. The results are miles removed fromthe quality we have come to expect in the RTj^X world.

There have been many attempts to create translators from HTgX toHTML. Some were even quite successful in the sense that they are ableto produce legible web pages from a standard HTgX input file. But all ofthem cut corners left and right to get the job done. As soon as you startusing more complex DTf^X features and external packages things tend tofall apart. Authors wishing to preserve the unique typographic quality oftheir documents even when publishing on the web turn to PDF (PortableDocument Format), which preserves the layout of the document and permitshypertext navigation. Most modern browsers come with plugins that allowthe direct display of PDF documents.

Even though there are DVI and PS viewers for almost every platform,you will find that Acrobat Reader and Xpdf for viewing PDF documents aremore widely deployed'. So providing PDF versions of your documents willmake them much more accessible to your potential readers.

4.7.1 PDF Documents for the Web

The creation of a PDF file from DT^X source is very simple, thanks to thepdfTf^X program developed by Han The Thanh. pdfT^X produces PDFoutput where normal Tj^X produces DVI. There is also a pdfDT^X, whichproduces PDF output from DTj^X sources.

Both pdfTj^X and pdfDT^X are installed automatically by most modernTftX distributions, such as teTf^X, fpT^X, MikTjrX, Tj^XLive and CMacTgX.

To produce a PDF instead of DVI, it is sufficient to replace the commandlatex file.tex by pdf latex file.tex. On systems where DTgX is notcalled from the command line, you may find a special button in the TeXGUI.

Set the paper size with an optional documentclass argument such asa4paper or letterpaper. This works in pdfDT^X too, but on top of thispdfT^X also needs to know the physical size of the paper to determine thephysical size of the pages in the pdf file. If you use the hyperref package (seepage 93), the papersize will be adjusted automatically. Otherwise you have

7http://pdfreaders.org

92

Specialities

to do this manually by putting the following lines into the preamble of thedocument:

\pdfpagewidth=\paperwidth

\pdfpageheight=\paperheight

The following section will go into more detail regarding the differencesbetween normal DTgX and pdfRTf^X. The main differences concern threeareas: the fonts to use, the format of images to include, and the manualconfiguration of hyperlinks.

4.7.2 The Fonts

pdfRTjrX can deal with all sorts of fonts (PK bitmaps, TrueType, PostScripttype 1...) but the normal DTf^X font format, the bitmap PK fonts producevery ugly results when the document is displayed with Acrobat Reader. It isbest to use PostScript Type 1 fonts exclusively to produce documents thatdisplay well. Modern TeX installations will be set up so that this happensautomatically. Best is to try. If it works for you, just skip this whole section.

The Type 1 font set most widely used today is called Latin Modern (LM).If you have a recent TgX installation, chances are that you already have acopy of them installed; all you need to do is to add

\usepackage-Clmodern}-\usepackage[Tl]ffontencf\usepackage-ftextcomp}-

to the preamble of your document and you are all set for creating excellentPDF output with full support for the full Latin character set. If you areworking with a stripped down setup, you may have to add the lm fontsexplicitly.

For the Russian language you may want to use Cl virtual fonts, availableat ftp://ftp.vsu.ru/pub/tex/font-packs/clfonts. These fonts com-bine the standard CM type 1 fonts from Bluesky collection and CMCYRtype 1 fonts from the Paradissa and BaKoMa collection, all available onCTAN. Because Paradissa fonts contain only Russian letters, Cl fonts aremissing other Cyrillic glyphs.

Another solution is to switch to other PostScript type 1 fonts. Actually,some of them are even included with every copy of Acrobat Reader. Becausethese fonts have different character sizes, the text layout on your pages willchange. Generally these other fonts will use more space than the CM fonts,which are very space-efficient. Also, the overall visual coherence of yourdocument will suffer because Times, Helvetica and Courier (the primarycandidates for such a replacement job) have not been designed to work inharmony in a single document.

4.7 Working with pdfl^T^X

93

Two ready-made font sets are available for this purpose: pxfonts, which isbased on Palatino as its main text body font, and the txfonts package, whichis based on Times. To use them it is sufficient to put the following lines intothe preamble of your document:

\usepackage[Tl]{fontencj\usepackage-[pxf ontsj

You may find lines like

Warning: pdftex (file eurmolO): Font eur... not found

in the . log file after compiling your input file. They mean that some fontused in the document has not been found. Make sure you identify and fixthe offending parts of your document, as the resulting PDF document maynot display the pages with the missing characters at all.

4.7.3 Using Graphics

Including graphics into a document works best with the graphicx package(see page 83):

\usepackage{xcolor ,graphicx}-

In the sample above I have included the color package, as using color indocuments displayed on the web comes quite naturally.

So much for the good news. The bad news is that graphics in EncapsulatedPostScript format do not work with pdfDTgX. If you don’t define a fileextension in the \includegraphics command, graphicx will go looking for asuitable file on its own, depending on the setting of the driver option. Forpdftex this is formats .png, .pdf, .jpg and .mps (METAPGST)—but not. eps.

The simple way out of this problem is to just convert your EPS files intoPDF format using the epstopdf utility found on many systems. For vectorgraphics (drawings) this is a great solution. For bitmaps (photos, scans) thisis not ideal, because the PDF format natively supports the inclusion of PNGand JPEG images. PNG is good for screenshots and other images with fewcolours. JPEG is great for photos, as it is very space-efficient.

It may even be desirable not to draw certain geometric figures, but ratherdescribe the figure with a specialized command language, such as METfl-POET, which can be found in most Tf^X distributions, and comes with itsown extensive manual.

4.7.4 Hypertext Links

The hyperref package will take care of turning all internal references of yourdocument into hyperlinks. For this to work properly some magic is necessary,

94

Specialities

so you have to put \usepackage [pdftex] {hyperref} as the last commandinto the preamble of your document.

Many options are available to customize the behaviour of the hyperrefpackage:

• either as a comma separated list after the pdftex option

\usepackage [pdftex]{hyperref}-

• or on individual lines with the command \hypersetup{.options}.

The only required option is pdftex; the others are optional and allowyou to change the default behaviour of hyperref.8 In the following list thedefault values are written in an upright font.

bookmarks (=true,false) show or hide the bookmarks bar whendisplaying the document

Unicode (=false,true) allows the use of characters of non-Latin basedlanguages in Acrobat’s bookmarks

pdf toolbar (=true,false) show or hide Acrobat’s toolbar

pdf menubar (=true,false) show or hide Acrobat’s menu

pdffitwindow (=false, true) adjust the initial magnification of the PDFwhen displayed

pdftitle (={text}) define the title that gets displayed in the DocumentInfo window of Acrobat

pdfauthor (={text}) the name of the PDF’s author

pdfnewwindow (=false,true) define whether a new window should beopened when a link leads out of the current document

colorlinks (=false,true) surround the links by colour frames (false)or colour the text of the links (true). The colour of these links can beconfigured using the following options (default colours are shown):

linkcolor (=red) colour of internal links (sections, pages, etc.)citecolor (=green) colour of citation links (bibliography)f ilecolor (=magenta) colour of file linksurlcolor (=cyan) colour of URL links (mail, web)

8It is worth noting that the hyperref package is not limited to work with pdfTRX. Itcan also be configured to embed PDF-specific information into the DVI output of normalFMLjX, which then gets put into the PS Hie by dvips and is finally picked up by the pdfconvertor when turning the PS file into PDF.

4.7 Working with pdflATEX

95

If you are happy with the defaults, use

\usepackage[pdftex]{hyperref ]-

To have the bookmark list open and links in colour (the =true valuesare optional):

\usepackage[pdftex,bookmarks,colorlinks]{hyperref}

When creating PDFs destined for printing, coloured links are not a goodthing as they end up in gray in the final output, making it difficult to read.Use colour frames, which are not printed:

\usepackage{hyperref}

\hypersetup{colorlinks=false}

or make links black:

\usepackage{hyperref}

\hypersetup{colorlinks, %

citecolor=black,'/0f ilecolor=black,'/0linkcolor=black,"/0urlcolor=black,%pdftex}

When you just want to provide information for the Document Infosection of the PDF file:

\usepackage [pdf author=-[Pierre Desproges}-, %

pdftitle=-[Des femmes qui tombent},"/,pdftex]{hyperref ]-

In addition to the automatic hyperlinks for cross references, it is possibleto embed explicit links using

\hr ef { urV} {text}

The code

The \href {http://www. ctan. orgHCTAN} website.

produces the output “CTAN”; a click on the word “CTAN” will take you tothe CTAN website.

If the destination of the link is not a URL but a local file, use the \hrefcommand without the ’http://’ bit:

The complete document is \href{manual.pdfMhere]-

96

Specialities

which produces the text “The complete document is here”. A click on theword “here” will open the file manual.pdf. (The filename is relative to thelocation of the current document).

The author of an article might want her readers to easily send emailmessages by using the \href command inside the \author command on thetitle page of the document:

\author{Mary Oetiker $<$\href {mailto :mary@oetiker. ch}°/0{maryOoetiker.ch}$>$

Note that I have put the link so that my email address appears not only inthe link but also on the page itself. I did this because the link\href{mailto:mary@oetiker.ch}{Mary Oetiker}

would work well within Acrobat, but once the page is printed the emailaddress would not be visible anymore.

4.7.5 Problems with Links

Messages like the following:

! pdfTeX warning (ext4): destination with the sameidentifier (namefpage. 1}-) has been already used,duplicate ignored

appear when a counter gets reinitialized, for example by using the command\mainmatter provided by the book document class. It resets the page numbercounter to 1 prior to the first chapter of the book. But as the preface of thebook also has a page number 1 all links to “page 1” would not be uniqueanymore, hence the notice that “duplicate has been ignored.”

The counter measure consists of putting plainpages=f alse into thehyperref options. This unfortunately only helps with the page counter. Aneven more radical solution is to use the option

hypertexnames=false, but this will cause the page links in the index tostop working.

4.7.6 Problems with Bookmarks

The text displayed by bookmarks does not always look like you expect it tolook. Because bookmarks are “just text,” fewer characters are available forbookmarks than for normal text. Hyperref will normally notice such

problems and put up a warning:

Package hyperref Warning:

Token not allowed in a PDFDocEncoded string:

97

4.7 Working with pdnAT£]X

Work around this problem by providing a text string for the bookmarks,which replaces the offending text:

\texorpdf string! TgK text}{.Bookmark Text}

Math expressions are a prime candidate for this kind of problem:

\section{\texorpdfstring{$E=mc~2$}%

{E = me ** 2}}

which turns \section{$E=mc~2$} to “E = me ** 2” in the bookmark area.

If you write your document in Unicode and use the Unicode option forthe hyperref package to use Unicode characters in bookmarks, this will giveyou a much larger selection of characters to pick from when when using

\texorpdfstring.

4.7.7 Source Compatibility Between BTfrjX and pdfBT^X

Ideally your document would compile equally well with DTgX and pdfDTgX.The main problem in this respect is the inclusion of graphics. The simplesolution is to systematically drop the file extension from \includegraphicscommands. They will then automatically look for a file of a suitable formatin the current directory. All you have to do is create appropriate versions ofthe graphics files. DTJ^X will look for . eps, and pdfDT^X will try to includea file with the extension .png, .pdf, .jpg or .mps (in that order).

For the cases where you want to use different code for the PDF versionof your document, simply add the package if pdf9 to your preamble. Chancesare that you already have it installed; if not then you’re probably usingMiKTf^X which will install it for you automatically the first time you try touse it. This package defines the special command \ if pdf that will allow youto write conditional code easily. In this example, we want the PostScriptversion to be black and white due to the printing costs but we want the PDFversion for online viewing to be colourful.

\RequirePackage{ifpdf} % are we producing PDF ?\documentclass [a4paper, 12pt] {book}-\usepackage [latinl] {inputenc}-\usepackage [Tl] {f ontenc}-\usepackage{lmodern}-

\usepackage [bookmarks, % tune hyperrefcolorlinks,

plainpages=false]{hyperref}\usepackage{graphicx]-

9If you want the whole story on why to use this package then go to the TF?C FAQ underthe item http://www.tex.ac.uk/egi-bin/texfaq2html?label=ifpdf.

98

Specialities

\ifpdf

\hypersetup{linkscolor=blue}-

\else

\hypersetup{linkscolors=black}-\f i

\usepackage [english] {babel}

In the example above I have included the hyperref package even in thenon-PDF version. The effect of this is to make the \href command work inall cases, which saves me from wrapping every occurrence into a conditionalstatement.

Note that in recent T^X distributions (like Tf^XLive, MacTgX andMiKlJ^X), the normal program is actually pdfT^X and it will au-tomatically switch between producing pdf and dvi according to the name itis called with: use the pdf latex command to get pdf output and latex fornormal dvi output.

4.8 Working with Xgl^Tf^X

By Axel Kielhorn <A.Kielhorn@web.de>

Most of the things said about pdfDT^X are valid for XgDT^X as well.

There is a Wiki at http://wiki.xelatex.org/doku.php that collectsinformation relevant to XgTgX and XgDT^X.

4.8.1 The Fonts

In addition to the normal tfm based fonts, XgDTEX is able to use any fontknown to the operating system. If you have the Linux Libertine fontsinstalled, you can simply say

\usepackage{f ontspec}-

\setmainf ont [Ligatures=TeX] {Linux Libertine}

in the preamble. This will normally detect the italic and bold versions aswell, so \textit and \textbf will work as usual. When the font is usingOpenType technology you have access to many features which requiredswitching to a separate font or using virtual fonts in the past. The mainfeature is the extended character set; a font may contain Latin, Greek andCyrillic characters and the corresponding ligatures.

Many fonts contain at least two kinds of numerals, the normal liningnumerals and so called old style (or lower case) numerals, which partly extendbelow the baseline. They may contain proportional numerals (the “1” takesless space than the “0”) or monospaced numerals which are suitable fortables.

4.8 Working with Xt]IYT]r.X

99

\newfontfamily\LLln[Numbers=Lining]{(font)}

\newfontfamily\LLos[Numbers=01dStyle]{(font)}

\newfontfamily\LLlnm[Numbers=Lining,Numbers=Monospaced]{(font)}\newfontfamily\LLosm[Numbers=01dStyle,Numbers=Monospaced]{(font)}

Almost all OpenType fonts contain the standard ligatures (fl fi ffi) butthere are also some rare or historical ligatures like st, ct and tz. You maynot want to use them in a technical report but they are fine for a novel. Toenable these ligatures use either of the following lines:

\setmainfont[Ligatures=Rare]{(font)}

\setmainfont[Ligatures=Historic]{(font)}

\setmainfont[Ligatures=Historic,Ligatures=Rare]{(font)}

Not every font contains both sets of ligature, consult the font documen-tation or just try it out. Sometimes these ligatures are language dependent;for example a ligature used in Polish (fk) is not used in English. You haveto add

\setmainfont[Language=Polish]{(font)}

to enable the Polish ligatures.

Some fonts (like the commercial Adobe Garamond Premier Pro) containalternative glyphs that are activated by default in X3PTJ5X distributed withTgXLive 201010. The result is a stylish “Q” with a descender reaching belowthe following “u”. To disable this feature you have to define the font withdisabled contextuals:

\setmainfont [Contextuals=NoAlternate]{(font)}

To learn about fonts in XgPTgX read the fontspec manual.

Where do I get OpenType fonts?

If you have TeXLive installed, you already have some at . . ./texmf-dist/f onts/opentype, just install them in your operating system. This collectiondoes not include DejaVu, which is available at http://dejavu-fonts.org/.

Make sure that each font is only installed once, otherwise interestingresults may happen.

You can use every font installed on your computer, but remember thatother users may not have these fonts. The Zapfino font used in the fontspecmanual is included in Mac OSX, but is not available on Windows computers.11

10The behavior has changed with this version, it was off by default in earlier releases.

X1A commercial version of the font called Zapfino Extra is available.

100

Specialities

Entering Unicode Characters

The number of characters in a font has grown but the number of keys on aregular keyboard has not. So, how do I enter non-ASCII characters?

If you write a large amount of text in a foreign language, you can installa keyboard for that language and print out the character positions. (Mostoperatings system have some sort of virtual keyboard, just make a screenshot.)

If you rarely need an exotic character, you can simply pick it in thecharacter palette.

Some environments (e. g. the X Window System) offer many methods toenter non-ASCII characters. Some editors (e. g. Vim and Emacs) offer waysto enter these characters. Read the manual for the tools you are using.

4.8.2 Compatibility Between XgDTjrjX and pdfTATfijX

There are a few things that are different between and pdfDTf^X.

• A XgDTj^X document has to be written in Unicode (UTF-8) whilepdfDIj^X may use different input encodings.

• The microtype packages does not work with XgRTj^X yet, support forcharacter protrusion is already under development.

• Everything font related has to be reviewed. (Unless you want to stickto Latin Modern.)

4.9 Creating Presentations

By Daniel Flipo <Daniel .FlipoOuniv-lillel. f r>

You can present the results of your scientific work on a blackboard, withtransparencies, or directly from your laptop using some presentation software.

pdfDTj^X combined with the beamer class allows you to create presenta-tions in PDF, looking much like something you might be able to generatewith LibreOffice or PowerPoint if you had a very good day, but much moreportable because PDF readers are available on many more systems.

The beamer class uses graphicx, color and hyperref with options adaptedto screen presentations.

When you compile the code presented in figure 4.2 with pdfDTgX youget a PDF file with a title page and a second page showing several itemsthat will be revealed one at a time as you step though your presentation.

One of the advantages of the beamer class is that it produces a PDFfile that is directly usable without first going through a PostScript stagelike prosper or requiring additional post processing like presentations createdwith the ppower4 package.

4.9 Creating Presentations

101

\documentclass [lOpt] {beamer}-\mode<beamer>{°/o

\usetheme[hideothersubsections,

right,width=22mm]{Goettingen}

>

\title{Simple Presentation}

\author[D. Flipo]-[Daniel Flipo}\institute-[U.S.T.L. \& GUTenberg}\titlegraphic-[\includegraphics [width=20mm] {USTL}}-\date{2005>

\begin{document}-

\begin{frame}<handout:0>

\titlepage\end{frame}

\section{An Example}

\begin{frame}

\frametitle-CThings to do on a Sunday Afternoon}\begin-[blockMOne could \ldots}

\begin-[itemize}-

\item walk the dog\dots \pause\item read a book\pause\item confuse a cat\pause\end{itemize}-\end{block]-and many other things\end{frame}

\end-fdocument}-

Figure 4.2: Sample code for the beamer class

102

Specialities

With the beamer class you can produce several versions (modes) of yourdocument from the same input file. The input file may contain specialinstructions for the different modes in angular brackets. The following modesare available:

beamer for the presentation PDF discussed above,trans for transparencies,handout for the printed version.

The default mode is beamer, change it by setting a different mode as aglobal option, like \documentclass [lOpt .handout] {beamer}- to print thehandouts for example.

The look of the screen presentation depends on the theme you choose.Pick one of the themes shipped with the beamer class or create your own.See the beamer class documentation in beameruserguide.pdf for moreinformation on this.

Let’s have a closer look at the code in figure 4.2.

For the screen version of the presentation \mode<beamer> we have chosenthe Goettingen theme to show a navigation panel integrated into the tableof contents. The options allow us to choose the size of the panel (22 mm inthis case) and its position (on the right side of the body text). The optionhideothersubsections, shows the chapter titles, but only the subsections ofthe present chapter. There are no special settings for \mode<trans> and\mode<handout>. They appear in their standard layout.

The commands \titleO, \authorO, \institute{}, and\titlegraphicO set the content of the title page. The optional argumentsof \title [] {} and \author [] {} let you specify a special version of the titleand the author name to be displayed on the panel of the Goettingen theme.

The titles and subtitles in the panel are created with normal \sectionOand \subsectionO commands that you place outside the frame environ-ment.

The tiny navigation icons at the bottom of the screen also allow tonavigate the document. Their presence is not dependent on the theme youchoose.

The contents of each slide or screen has to be placed inside a frameenvironment. There is an optional argument in angular brackets (< and>), it allows us to suppress a particular frame in one of the versions of thepresentation. In the example the first page would not be shown in thehandout version due to the <handout:0> argument.

It is highly recommended to set a title for each slide apart from thetitle slide. This is done with the command \frametitleO. If a subtitle isnecessary use the block environment as shown in the example. Note thatthe sectioning commands \sectionO and \subsectionO do not produceoutput on the slide proper.

4.9 Creating Presentations

103

The command \pause in the itemize environment lets you reveal theitems one by one. For other presentation effects check out the commands\only, \uncover, \alt and \temporal. In many place it is possible to useangular brackets to further customize the presentation.

In any case make sure to read through the beamer class documentationbeameruserguide.pdf to get a complete picture of what is in store for you.This package is being actively developed, check out their website to get thelatest information, (http://latex-beamer.sourceforge.net/)

Chapter 5

Producing MathematicalGraphics

Most people use lAT^X for typesetting their text. And since the structure orientedapproach to authoring is so convenient, lAT^X also offers a, if somewhat restricted,means for producing graphical output from textual descriptions. Furthermore,quite a number of lAT^X extensions have been created in order to overcomethese restrictions. In this section, you will learn about a few of them.

5.1 Overview

Creating graphical output with IAI^X has a long tradition. It started outwith the picture environment which allows you to create graphics by cleverlyplacing predefined elements onto the canvas. A complete description canbe found in the Manual [1]. The picture environment of PT^X2e

brings with it the \qbezier command, “q” meaning “quadratic”. Manyfrequently used curves such as circles, ellipses, or catenaries can be satisfac-torily approximated by quadratic Bezier curves, although this may requiresome mathematical toil. If, in addition, a programming language is usedto generate \qbezier blocks of IATp]X input hies, the picture environmentbecomes quite powerful.

Although programming pictures directly in IAl^X is severely restricted,and often rather tiresome, there are still reasons for doing so. The documentsthus produced are “small” with respect to bytes, and there are no additionalgraphics hies to be dragged along.

This has been the state of things until a few years ago when Till Tantauof beamer fame came up with the Portable Graphics Format pgf and itscompanion package TikZ (tikz). This system lets you create high qualityvector graphics with all current T^X systems including full support for pdf.

Building on these basics, numerous packages have been written for specihc

106

Producing Mathematical Graphics

purposes. A wide variety of these packages is described in detail in The$TpjX Graphics Companion [ ].

Perhaps the most advanced graphical tool related with DTeX is META-POST. It is a stand-alone application based on Donald E. Knuth’s META-FONT. METAPOST has the very powerful and mathematically sophisticatedprogramming language of METAFONT but contrary to METAFONT, it gener-ates encapsulated PostScript files, which can be imported in DTeX and evenpdfPTEX. For an introduction, see A User’s Manual for METRPOST [15],or the tutorial on [ ].

A very thorough discussion of DTeX and TeX strategies for graphics(and fonts) can be found in TpfX Unbound [16].

5.2 The picture Environment

By Urs Oswald <osurs@bluewin.ch>

As mentioned above the picture environment is part of standard PI^Xand it is great for simple tasks and also if you want to control the exactpositioning of individual elements on a page. But if you are about to do anyserious graphics work, you should look at TikZ as presented in section 5.3on page 115.

5.2.1 Basic Commands

A picture environment1 is created with one of the two commands

\beginfpicture}(x, y) . ..\end{picture}

or

\beginfpicture}(x,y)(ro, y$) ...\endfpicture}

The numbers x, y, xo, yo refer to \unitlength, which can be reset anytime (but not within a picture environment) with a command such as

\setlength{\unitlength}{!. 2cm}-

The default value of \unitlength is lpt. The first pair, (x, y), effects thereservation, within the document, of rectangular space for the picture. Theoptional second pair, (xo,j/o)> assigns arbitrary coordinates to the bottomleft corner of the reserved rectangle.

1Believe it or not, the picture environment works out of the box, with standard ITTjrX 2gno package loading necessary.

5.2 The picture Environment

107

Most drawing commands have one of the two forms

\put (x, y) { object}

or

\multiput (x, y) (Ax, Ay) {nj-iobjecQ

Bezier curves are an exception. They are drawn with the command

\qbezier(xi, y±) (*2,2/2) (*3,2/3)

5.2.2 Line Segments

\setlength{\unitlength}{5cm}\begin{picture}(1,1)

\put (0,0) {Mine (0,1) {1}}

\put (0,0){\line(l ,0){1»

\put (0,0)-[\line(l, 1){1»

\put(0,0){\line(l,2){.5}}\put (0,0) {Mine (1,3) { . 3333}}\put (0,0) {Mine (1,4) { . 25}}\put (0,0) {Mine (1,5) { . 2}}\put (0,0) {Mine (1,6) { . 1667}}\put(0,0){\line(2,1){1}}

\put (0,0) {Mine (2,3) { . 6667}}\put (0,0) {Mine (2,5) { . 4}}\put(0,0){\line(3,1){1}}

\put (0,0){Mine(3,2){1}}

\put (0,0) {Mine (3,4) { . 75}}\put (0,0) {Mine (3,5) { . 6}}\put (0,0){Mine(4,1){1}}

\put (0,0){Mine(4,3){1}}

\put (0,0) {Mine (4,5) { . 8}}\put(0,0){\line(5,1){1}}\put(0,0){\line(5,2){l}}

\put (0,0){Mine(5,3){1}}

\put (0,0){Mine(5,4){1}}

\put (0,0) {Mine (5,6) { . 8333}}\put (0,0) {Mine (6,1){1}}

\put (0,0){Mine(6,5){1}}\end{picture}

108

Producing Mathematical Graphics

Line segments are drawn with the command

\put (x, j/) Aline (2:1, y\) {.length}}

The Mine command has two arguments:

1. a direction vector,

2. a length.

The components of the direction vector are restricted to the integers

-6, -5, 5, 6,

and they have to be coprime (no common divisor except 1). The figureillustrates all 25 possible slope values in the first quadrant. The length isrelative to \unitlength. The length argument is the vertical coordinate inthe case of a vertical line segment, the horizontal coordinate in all othercases.

5.2.3 Arrows

{setlength{{unitlength}{0. 75mm}

{begin{picture}(60,40)

\put (30,20)Mvector (1,0){30}}

\put (30,20)Mvector (4, 1){20}}

\put (30,20)Mvector (3, 1){25}}

\put(30,20)Mvector(2,1)130}}-\put (30,20)Mvector (1,2) {10}}

\thicklines

\put(30,20){{vector(-4,1){30}}

\put(30,20){{vector(-1,4){5}}

{thinlines

{put(30,20){{vector(-1,-1){5}}

{put(30,20){{vector(-1,-4){5}}

{end{picture}

Arrows are drawn with the command

{put (x, j/){{vector (aq, y±) {length}}

For arrows, the components of the direction vector are even more narrowlyrestricted than for line segments, namely to the integers

-4, —3, ..., 3, 4.

Components also have to be coprime (no common divisor except 1). Noticethe effect of the {thicklines command on the two arrows pointing to theupper left.

5.2 The picture Environment

109

5.2.4 Circles

\set length-C\unit length}! lmm}-\begin{picture}(60, 40)

\put(20,30){\circle{l}}\put(20,30){\circlef2}}\put(20,30){\circlef4}}\put(20,30){\circle{8}}\put(20,30){\circle{16}}\put(20,30){\circle{32}}

\put(40,30){\circle{l}}\put(40,30){\circle{2}}\put(40,30){\circle{3}}\put(40,30){\circle{4}}\put(40,30){\circle{5}}\put(40,30){\circle{6}}\put(40,30){\circle{7}}\put(40,30){\circlef8}}\put(40,30){\circlef9}}\put(40,30) {\circle-[10}}\put(40,30){\circle{ll}}\put(40,30) {\circle-[12}}\put(40,30) {\circle-[13}}\put(40,30){\circle{14}}

\put(15,10){\circle*{l}}\put(20,10){\circle*{2}}\put(25,10){\circle*{3}}\put(30,10){\circle*{4}-}\put(35,10){\circle*{5}}\end{picture}

The command

\put (r, y) {\circle{diametery}

draws a circle with center (x, y) and diameter (not radius) diameter. Thepicture environment only admits diameters up to approximately 14mm,and even below this limit, not all diameters are possible. The \circle*command produces disks (filled circles).

As in the case of line segments, one may have to resort to additionalpackages, such as eepic or pstricks. For a thorough description of thesepackages, see The WT^X Graphics Companion [4],

There is also a possibility within the picture environment. If one is notafraid of doing the necessary calculations (or leaving them to a program),arbitrary circles and ellipses can be patched together from quadratic Beziercurves. See Graphics in WTj^X[1 ] for examples and Java source files.

110

Producing Mathematical Graphics

5.2.5 Text and Formulas

\setlength{\unitlength}{0. 8cm}

\begin{picture}(6,5)

\thicklines

\put (1,0.5) {Mine (2,1) {3»

\put (4,2) {Mine (-2,1) {2}}

\put (2,3) {Mine (-2,-5) {1}}

\put(0.7,0.3){$A$}

\put(4.05,1-9){$B$}

\put(1.7,2.95){$C$}

\put(3.1,2-5){$a$}

\put(1.3,1.7){$b$>

\put(2.5,1-05){$c$}

\put(0.3,4){$F=

\sqrt{s(s-a)(s-b)(s-c)}$}

\put(3.5,0.4){$\displaystyles:=\frac{a+b+c}{2}$}

\end{picture}

As this example shows, text and formulas can be written into a pictureenvironment with the \put command in the usual way.

5.2.6 \multiput and \linethickness

\setlength{\unitlength}{2mm}

\begin{picture}(30,20)

\linethickness{0.075mm}

\multiput (0,0) (1,0){26}"/o{\line(0,1){20}}

\multiput (0,0) (0,1){21}"/o{\line(l,0){25}}

\linethickness{0.15mm}

\multiput (0,0) (5,0) {6}"/o

{Mine(0,1){20}}

\multiput (0,0) (0,5) {5}"/o{\line(l,0){25}}

\linethickness{0.3mm}

\multiput (5,0) (10,0){2}"/o{\line(0,l){20}}

\multiput (0,5) (0,10){2}"/o{\line(l,0){25}}

\end{picture}

The command

\multiput d, y) (Ax, Ay) {n}{object}

has 4 arguments: the starting point, the translation vector from one object

5.2 The picture Environment

111

to the next, the number of objects, and the object to be drawn. The\linethickness command applies to horizontal and vertical line segments,but neither to oblique line segments, nor to circles. It does, however, applyto quadratic Bezier curves!

5.2.7 Ovals

\setlength{\unitlength}{0. 75cm}\begin{picture}(6,4)

\linethicknessfO.075mm}\multiput (0,0) (1,0){7}°/0{\line(0,1){4»

\multiput (0,0) (0, l){5}“/0Aline (1,0) {6}}

\thicklines

\put(2,3){\oval(3,1.8)}\thinlines

\put(3,2){\oval(3,1.8)}\thicklines

\put(2,l){\oval(3,1.8)[tl]}\put(4,l){\oval(3,1.8)[b]}\put (4,3) {\oval (3,1.8) [r] }\put(3,1.5){\oval(1.8,0.4)}\end{picture}

The command

\put(a;,y){\oval(w, h)}

or

\put (r, y) {\oval (w, h) [position]}

produces an oval centered at (x, y) and having width w and height h. Theoptional position arguments b, t, 1, r refer to “top”, “bottom”, “left”, “right”,and can be combined, as the example illustrates.

Line thickness can be controlled by two kinds of commands:\linethickness{length} on the one hand, \thinlines and \thicklineson the other. While \linethickness{fen</f/i} applies only to horizontal andvertical lines (and quadratic Bezier curves), \thinlines and \thicklinesapply to oblique line segments as well as to circles and ovals.

112

Producing Mathematical Graphics

5.2.8 Multiple Use of Predefined Picture Boxes

\setlengthf \unitlengtlfKO. 5mm}-\begin{picture}(120,168)\newsavebox-f\f oldera}

\saveboxt\foldera}

(40,32) [bl] {°/0 definition\multiput (0,0) (0,28){2}{\line(l,0){40»

\multiput (0,0) (40,0){2}{\line(0,l){28»

\put(1,28){\oval(2,2)[tl]>

\put (1,29){Mine (1,0){5»

\put(9,29){\oval(6,6)[tl]}

\put (9,32){\line(l ,0){8»\put(17,29){\oval(6,6)[tr]}

\put (20,29) {Mine (1,0){19»

\put(39,28){\oval(2,2) [tr]>

>

\newsavebox{\folderb}-

\savebox{\folderb}-

(40,32) [1]{"/o definition

\put (0,14){\line(l ,0){8»

\put(8,0){\usebox{\foldera}}

>

\put (34,26){Mine (0,1){102}}

\put(14,128){\usebox{\foldera}}\multiput(34,86)(0,-37){3}{\usebox{\folderb}}\end{picture}

A picture box can be declared by the command

\newsavebox{ name}

then defined by

\savebox{narae} (width,height) [position^ {.content}

and finally arbitrarily often be drawn by

\put (x, y){\usebox{name}}

The optional position parameter has the effect of defining the ‘anchorpoint’ of the savebox. In the example it is set to bl which puts the anchorpoint into the bottom left corner of the savebox. The other position specifiersare top and right.

5.2 The picture Environment

113

The name argument refers to a ETf5]X storage bin and therefore is of acommand nature (which accounts for the backslashes in the current example).Boxed pictures can be nested: In this example, \foldera is used within thedefinition of \folderb.

The \oval command had to be used as the Mine command does notwork if the segment length is less than about 3 mm.

5.2.9 Quadratic Bezier Curves

\setlength{\unitlength}{0. 8cm}

\begin{picture}(6,4)

MinethicknessfO. 075mm}

\multiput(0,0)(1,0){7}

{\line(0,1){4}}

\multiput(0,0)(0,1){5}

{\line(l,0){6}}

\thicklines

\put(0.5,0.5){\line(l,5){0.5}}

\put(l,3){{line(4,1){2}}

\qbezier(0.5,0.5)(1,3)(3,3.5)

\thinlines

\put (2.5,2) {Mine (2,-1) {3}}

\put(5.5,0.5){{line(-1,5){0.5}}

Minethickness{lmm}

\qbezier(2.5,2)(5.5,0.5)(5,3)

\thinlines

\qbezier(4,2)(4,3)(3,3)

\qbezier(3,3)(2,3)(2,2)

\qbezier(2,2)(2,1)(3,1)

\qbezier(3,1)(4,1)(4,2)

\end{picture}

As this example illustrates, splitting up a circle into 4 quadratic Beziercurves is not satisfactory. At least 8 are needed. The figure again shows theeffect of the Minethickness command on horizontal or vertical lines, and ofthe \thinlines and the \thicklines commands on oblique line segments.It also shows that both kinds of commands affect quadratic Bezier curves,each command overriding all previous ones.

Let Pi = (xi, yi), P2 = (X2, 2/2) denote the end points, and mi, m2 therespective slopes, of a quadratic Bezier curve. The intermediate control pointS = (x, y) is then given by the equations

! j _ 7U2X2 - mixi - (2/2 ~ Vi)

m2-mi ’ (5.1)

y= yi + m.i(x-Xi) (i = 1,2).

See Graphics in WTj<]X 2e [ ] for a Java program which generates the neces-

sary \qbezier command line.

114

Producing Mathematical Graphics

5.2.10 Catenary

\set lengthMunit length}! lcm}

\begin{picture}(4.3,3.6)(-2.5,-0.25)

\put(-2,0){\vector(1,0){4.4}}

\put(2.45,-.05){$x$}

\put(0,0){\vector(0,1){3.2}}

\put(0,3.35){\makebox(0,0){$y$}}

\qbezier(0.0,0.0)(1.2384,0.0)

(2.0,2.7622)

\qbezier(0.0,0.0)(-1.2384,0.0)

(-2.0,2.7622)

Minethickness{.075mm}

\multiput(-2,0)(1,0){5}

Aline(0,1){3}}

\multiput(-2,0)(0,1){4}

{\line(l,0){4}}

Minethickness!.2mm}

\put( .3,.12763){\line(l,0){.4}}

\put(.5,-.07237) Aline(0,1){.4}}

\put(-.7,.12763) Al ine (1, 0){.4}}

\put (- . 5, - . 07237) {Mine (0,1){.4}}

\put ( . 8, . 54308) Aline (1,0){. 4}}

\put(l,,34308)Aline(0,l){.4}}

\put (-1.2, .54308) {Mine (1,0) {.4}}

\put(—1, .34308) Aline(0,1){.4}}

\put(1.3,1.35241){\line(1,0){.4}}

\put( 1.5,1.15241) {Mine (0,1) {.4}}

\put (-1.7,1.35241) {Mine (1,0) {.4}}

\put (-1.5,1.15241) {Mine (0,1) {.4}}

\put(-2.5,-0.25){\circle*{0.2}}

\end{picture}

In this figure, each symmetric half of the catenary y = coshx — 1 isapproximated by a quadratic Bezier curve. The right half of the curve endsin the point (2, 2.7622), the slope there having the value m = 3.6269. Usingagain equation (5.1), we can calculate the intermediate control points. Theyturn out to be (1.2384, 0) and (—1.2384, 0). The crosses indicate points ofthe real catenary. The error is barely noticeable, being less than one percent.

This example points out the use of the optional argument of the\begin{picture} command. The picture is defined in convenient “mathe-matical” coordinates, whereas by the command

y

\begin{picture}(4.3,3.6)(-2.5,-0.25)

its lower left corner (marked by the black disk) is assigned the coordinates(-2.5,-0.25).

5.3 The PGF and TikZ Graphics Packages

115

5.2.11 Rapidity in the Special Theory of Relativity

\setlengthAunitlength}{0. 8cm}\beginfpicture}(6,4)(-3,-2)

\put(-2.5,0) Avector (1,0){5}}\put(2.7,-0.1){$\chi$>

\put(0,-1.5) Avector (0,1){3}}\multiput(-2.5,1)(0.4,0){13}{\line(l,0){0.2}}\multiput(-2.5,-l)(0.4,0)113}l\line(l,0)10.2}}

\put(0.2,1.4)

l$\beta=v/c=\tanh\chi$}\qbezier(0,0)(0.8853,0.8853)(2,0.9640)

\qbezier(0,0)(-0.8853,-0.8853)(-2,-0.9640)

\put(-3,-2)l\circle*lO.2}}\endlpicture}

The control points of the two Bezier curves were calculated with formulas(5.1). The positive branch is determined by Pi = (0, 0), m± = 1 and P-2 =(2, tanh2), m2 = 1/cosh2 2. Again, the picture is defined in mathematicallyconvenient coordinates, and the lower left corner is assigned the mathematicalcoordinates (—3,-2) (black disk).

5.3 The PGF and TikZ Graphics Packages

Today every AT^X output generation system can create nice vector graphics,it’s just the interfaces that are rather diverse. The pgf package provides anabstraction layer over these interface. The pgf package comes with a largemanual/tutorial of its own [ ]. So we are only going to scratch the surface

of the package with this little section.

The pgf package comes with a high level access language provided by thetikz package. TikZ provides highly efficient commands to draw graphics rightfrom inside your document. Use the tikzpicture environment to wrap yourTikZ commands.

As mentioned above, there is an excellent manual for pgf and friends.So instead of actually explaining how it works, I will just show you a fewexamples so that you can get a first impression of how this tool works.

First a simple nonsense diagram.

116

Producing Mathematical Graphics

\begin{tikzpicture}[scale=3]

\clip (-0.1,-0.2)

rectangle (1.8,1.2);\draw[step=.25cm,gray,very thin](-1.4,-1.4) grid (3.4,3.4);\draw (-1.5,0) — (2.5,0);

\draw (0,-1.5) — (0,1.5);

\draw (0,0) circle (1cm);

\filldraw[fill=green!20!white,draw=green!50!black](0,0) — (3mm,0mm)

arc (0:30:3mm) — cycle;\end{tikzpicture}

Note the semicolon (;) character. It separates the individual commands.A simple Venn diagram.

\shorthandoff{:}

\begin{tikzpicture}

\node[circle,draw,

minimum size=3cm,label=120:{economics}]at (0,0) {};

\node[circle,draw,

minimum size=3cm,label=60:{psychology}]at (1,0) {};

\node (i) at (0.5,-l) {};\node at (0.6,-2.5)

{behavioral economics}edge[->,thick,

out=60,in=-60] (i);\end{tikzpicture}

If you are using tikz in connection with babel some of the characters usedin the TikZ language may get modified by babel, leading to odd errors. Tocounteract this, add the \shorthandof f command to your code.

Note the foreach loops in the next example.

5.3 The PGF and TikZ Graphics Packages

117

\beginltikzpicture}[scale=0.8]

\tikzstylefv}=[circle, minimum size=2mm,inner sep=Opt,draw]\foreach \i in 11,...,8}

\foreach \j in {1, . . . , 31-\node[v]

(G—\i—\j ) at (\i,\j) O;

\foreach \i in 11,...,8}

\foreach \j/\o in 11/2,2/3}

\draw[->]

(G—\i—\j) — (G-\i-\o) ;

\foreach \i/\n in

11/2,2/3,3/4,4/5,5/6,6/7,7/8}

\foreach \j/\o in 11/2,2/3} 1

\draw[->] (G—\i—\j) — (G-\n-\o);

\draw[->] (G-\n-\j) — (G-\i-\o) ;

}

\endltikzpicture}

With the \usetikzlibrary command in the preamble you can enable awide variety of additional features for drawing special shapes, like this boxwhich is slightly bent.

\usetikzlibraryl"/o

decorations.pathmorphing}\beginltikzpicture}[

decoration=lbent,aspect=.3}]\draw [decorate,fill=lightgray]

(0,0) rectangle (5.5,4);\node[circle,draw]

(A) at (.5,.5) 1A};

\node [circle,draw]

(B) at (5,3.5) IB};

\draw[->,decorate] (A) — (B);\draw[->,decorate] (B) — (A);

\endltikzpicture}

118

Producing Mathematical Graphics

\usetikzlibraryfpositioning}\beginftikzpicture}[xscale=6,yscale=8,>=stealth]\tikzstyle-Cv}= [circle,

minimum size=lmm,draw,thick]\node[v] (a) {$1$};

\node[v] (b) [right=of a] {$2$}\node [v] (c) [below=of a] {$2$}\node [v] (d) [below=of b] {$1$}\draw[thick,->]

(a) to node {} (c);

\draw[thick,->]

(a) to node {} (d);

\draw[thick,->]

(b) to node {} (d);\endftikzpicture}

You can even draw syntax diagrams that look as if they came straightfrom a book on Pascal programming. The code is a bit more daunting thanthe example above, so I will just show you the result. If you have a look atthe pgf documentation you will find a detailed tutorial on drawing this exactdiagram.

unsigned integer

v.

And there is more, if you have to draw plots of numerical data or functions,you should have a closer look at the pgfplot package. It provides everythingyou need to draw plots. It can even call the external gnuplot command toevaluate actual functions you wrote into the graph.

For more inspiration make sure to visit Kjell Magne Fauske’s excellenthttp://www.texample.net/tikz/. it contains an ever expanding store ofbeautiful graphs and other PTgX code. On TgXample.net you will also finda list of tools to work with PGF/TikZ so that you do not have to write allthat code by hand.

Chapter 6

Customising

Documents produced with the commands you have learned up to this point willlook acceptable to a large audience. While they are not fancy-looking, they obeyall the established rules of good typesetting, which will make them easy to readand pleasant to look at.

However, there are situations where DT^X does not provide a command orenvironment that matches your needs, or the output produced by some existingcommand may not meet your requirements.

In this chapter, I will try to give some hints on how to teach DT^X new tricksand how to make it produce output that looks different from what is providedby default.

6.1 New Commands, Environments and Packages

You may have noticed that all the commands I introduce in this book aretypeset in a box, and that they show up in the index at the end of the book.Instead of directly using the necessary IYTf^X commands to achieve this, Ihave created a package in which I defined new commands and environmentsfor this purpose. Now I can simply write:

\beginflscommand}

\dum

\cifdnm}

\endflscommand}-

In this example, I am using both a new environment calledlscommand, which is responsible for drawing the box around the command,and a new command named \ci, which typesets the command name andmakes a corresponding entry in the index. Check this out by looking up the\dum command in the index at the back of this book, where you’ll find anentry for \dum, pointing to every page where I mentioned the \dum command.

120

Customising I^T^X

If I ever decide that I do not like having the commands typeset in a boxany more, I can simply change the definition of the lscommand environmentto create a new look. This is much easier than going through the wholedocument to hunt down all the places where I have used some generic ET^Xcommands to draw a box around some word.

6.1.1 New Commands

To add your own commands, use the

\newcommand{name} [numlidefinition}

command. Basically, the command requires two arguments: the name ofthe command you want to create, and the definition of the command. Thenum argument in square brackets is optional and specifies the number ofarguments the new command takes (up to 9 are possible). If missing itdefaults to 0, i.e. no argument allowed.

The following two examples should help you to get the idea. The firstexample defines a new command called \tnss. This is short for “The NotSo Short Introduction to TT]vX 2g.” Such a command could come in handyif you had to write the title of this book over and over again.

\newcommandI\tnssMThe notso Short Introduction to\LaTeXe}

This is ‘‘\tnss’’ \ldotsO‘ ‘\tnss’1

This is “The not so Short Introduction toMEX2£” • • • “The not so Short Introduc-tion to MEX2e”

The next example illustrates how to define a new command that takesone argument. The #1 tag gets replaced by the argument you specify. If youwanted to use more than one argument, use #2 and so on.

\newcommandI\txsit}- [2]

■[This is the \emph{#l}

#2 Introduction to \LaTeXe}

•/. in the document body:

\begin{itemize}

\item \txsit{not soMshort}

\item \txsit-fveryMlong}

\end{itemize}

ET^X will not allow you to create a new command that would overwritean existing one. But there is a special command in case you explicitlywant this: \renewcommand. It uses the same syntax as the \newcommandcommand.

• This is the not so short Introductionto ET)h]X 2^;

• This is the very long Introductionto ETftX 2£

6.1 New Commands, Environments and Packages

121

In certain cases you might also want to use the \providecommand com-mand. It works like \newcommand, but if the command is already defined,ETg]X2£ will silently ignore it.

There are some points to note about whitespace following ETgX com-mands. See page 5 for more information.

6.1.2 New Environments

Just as with the \newcommand command, there is a command to createyour own environments. The \newenvironment command uses the followingsyntax:

\newenvironment{name} \_num] {before}{after}

Again \newenvironment can have an optional argument. The materialspecified in the before argument is processed before the text in the environ-ment gets processed. The material in the after argument gets processedwhen the \end{name} command is encountered.

The example below illustrates the usage of the \newenvironment com-mand.

\newenvironmentlkinglf\ruleflexHlex}7o

\hspace-C\stretchfl}}}

{\hspacef\stretchfl}}7o i

\ruleflexMlex}} ■ My humble subjects ... ■

\beginfking>

My humble subjects \ldots\endfkingl

The num argument is used the same way as in the \newcommand command.ET^X makes sure that you do not define an environment that already exists.If you ever want to change an existing command, use the \renewenvironmentcommand. It uses the same syntax as the \newenvironment command.

The commands used in this example will be explained later. For the \rulecommand see page 135, for \stretch go to page 129, and more informationon \hspace can be found on page 129.

6.1.3 Extra Space

When creating a new environment you may easily get bitten by extra spacescreeping in, which can potentially have fatal effects, for example when youwant to create a title environment which supresses its own indentation as wellas the one on the following paragraph. The \ignorespaces command in thebegin block of the environment will make it ignore any space after executing

122

Customising IXTeX

the begin block. The end block is a bit more tricky as special processingoccurs at the end of an environment. With the \ignorespacesafterendUTeX will issue an \ignorespaces after the special ‘end’ processing hasoccurred.

\newenvir onmentf simple}"/,

Wnoindent}"/,f\par\noindent}

\beginfsimple}

See the spaceWto the left.

\endfsimple}

SameWhere.

See the spaceto the left.

Same

here.

\newenvir onmentf correct}"/,f\noindent\ignorespaces}"/,{\par\noindent"/0

\ignorespacesafterend}

\beginfcorrect}

No spaceWto the left.\endfcorrect}

SameWhere.

No spaceto the left.

Same

here.

6.1.4 Commandline E'TeX

If you work on a Unix-like OS, you might be using Makefiles to buildyour U-TeX projects. In that connection it might be interesting to producedifferent versions of the same document by calling UTeX with commandlineparameters. If you add the following structure to your document:

\usepackagefifthen}

\ifthenelse{\equal-[\blackandwhite}-[true}}-[

% "black and white" mode; do something..

H

7, "color" mode; do something different..

}

Now call UTeX like this:

latex ’ \newcommand-[\blackandwhite}-[true}\input-[test. tex} ’

First the command \blackandwhite gets defined and then the actualfile is read with input. By setting \blackandwhite to false the color versionof the document would be produced.

6.2 Fonts and Sizes

123

6.1.5 Your Own Package

If you define a lot of new environments and commands, the preamble of yourdocument will get quite long. In this situation, it is a good idea to create aETeX package containing all your command and environment definitions. Usethe \usepackage command to make the package available in your document.

% Demo Package by Tobias Oetiker\ProvidesPackage{demopack}

\newcommand{\tnss}{The not so Short Introduction

to \LaTeXe}

\newcommand-[\txsit}-[1] {The \emph{#l}- Short

Introduction to \LaTeXe}

\newenvironment{king}{\begin{quote}}{\end{quote}}

Figure 6.1: Example Package.

Writing a package basically consists of copying the contents of yourdocument preamble into a separate file with a name ending in . sty. Thereis one special command,

\ProvidesPackage{pacfcage name}

for use at the very beginning of your package file. \ProvidesPackage tellsETeX the name of the package and will allow it to issue a sensible errormessage when you try to include a package twice. Figure 6.1 shows a smallexample package that contains the commands defined in the examples above.

6.2 Fonts and Sizes

6.2.1 Font Changing Commands

ETeX chooses the appropriate font and font size based on the logical structureof the document (sections, footnotes, ...). In some cases, one might liketo change fonts and sizes by hand. To do this, use the commands listed inTables 6.1 and 6.2. The actual size of each font is a design issue and dependson the document class and its options. Table 6.3 shows the absolute pointsize for these commands as implemented in the standard document classes.

{\small The small and\textbf{bold} Romans ruled}

{{Large all of great big\textit{Italy}.}

The small and bold Romans ruled fill of

great big Italy.

124

Customising I^T^X

One important feature of FTp^X 2^ is that the font attributes are inde-pendent. This means that issuing size or even font changing commands, andstill keep bold or slant attributes set earlier.

In math mode use the font changing commands to temporarily exit mathmode and enter some normal text. If you want to switch to another fontfor math typesetting you need another special set of commands; refer toTable 6.4.

In connection with the font size commands, curly braces play a significantrole. They are used to build groups. Groups limit the scope of most M}^Xcommands.

He likes {\LARGE large andf\small small} letters}.

The font size commands also change the line spacing, but only if theparagraph ends within the scope of the font size command. The closing curlybrace } should therefore not come too early. Note the position of the \parcommand in the next two examples. 1

Npar is equivalent to a blank line

He likes large and small letters.

Table 6.1: Fonts.

\textrm-[. .

.}

roman

\textsf{

...}

sans serif

\texttt{..

.}

typewriter

\textmdf..

.}

medium

\textbf{

...}

bold face

\textupf..

.}

upright

\textitf

...}

italic

\textslf..

.}

slanted

\textscf

...}

Small Caps

\emphf..

.}

emphasized

\textnormalf

...}

document font

Table 6.2: Font Sizes.

\tiny

tiny font

\Large

larger font

\scriptsize\footnotesize\small\normalsize\large

very small fontquite small fontsmall fontnormal fontlarge font

\large very large font

\huge

\Huge

huge

largest

6.2 Fonts and Sizes

125

Table 6.3: Absolute Point Sizes in Standard Classes.

size

lOpt (default)

llpt option

12pt option

\tiny

5pt

6pt

6pt

\scriptsize

7pt

00

C"F

00

C"F

\footnotesize

00

>d

C"F

9pt

lOpt

\small

9pt

lOpt

llpt

\normalsize

lOpt

llpt

12pt

\large

12pt

12pt

14pt

\Large

14pt

14pt

17pt

\LARGE

17pt

17pt

20pt

\huge

2 Opt

2 Opt

25pt

\Huge

25pt

25pt

25pt

Table 6.4: Math Fonts.

\mathrm{..

• >

Roman Font

\mathbf{. .

• >

Boldface Font

\mathsf{. .

• >

Sans Serif Font

\mathttf. .

.}

Typewriter Font

\mathitf. .

.}

Italic Font

\mathcalf.

qalligxAywje toimt

\mathnormal-[. .

.} Normal Font

126

Customising ET^X

{\Large Don’t read this!It is not true.

You can believe me!\parl

{\Large This is not true either.But remember I am a liar.}\par

If you want to activate a size changing command for a whole paragraphof text or even more, you might want to use the environment syntax for fontchanging commands.

\begin{Large}

This is not true.

But then again, what is thesedays \ldots\end{Large}

This will save you from counting lots of curly braces.

6.2.2 Danger, Will Robinson, Danger

As noted at the beginning of this chapter, it is dangerous to clutter yourdocument with explicit commands like this, because they work in oppositionto the basic idea of ET^X, which is to separate the logical and visual markupof your document. This means that if you use the same font changingcommand in several places in order to typeset a special kind of information,you should use \newcommand to define a “logical wrapper command” for thefont changing command.

\newcommandl\oops}[1]T%

\textbf{#l}}

Do not \oopslenterl this room,it’s occupied by \oops{machines}of unknown origin and purpose.

This approach has the advantage that you can decide at some laterstage that you want to use a visual representation of danger other than\textbf, without having to wade through your document, identifying all theoccurrences of \textbf and then figuring out for each one whether it wasused for pointing out danger or for some other reason.

Please note the difference between telling ETgX to emphasize somethingand telling it to use a different font. The \emph command is context aware,while the font commands are absolute.

Do not enter this room, it’s occupied bymachines of unknown origin and purpose.

This is not true. But thenagain, what is these days ...

This is not true either. Butremember I am a liar.

Don’t read this! It is not true.You can believe me!

6.3 Spacing

127

\textit{You can also

\emphfemphasize} text ifit is set in italics,}\textsf-fin a

\emphfsans-serif} font,}\textttfor in

\emph{typewriter} style.}

You can also emphasize text if it is setin italics, in a sans-serif font, or intypewriter style.

6.2.3 Advice

To conclude this journey into the land of fonts and font sizes, here is a littleword of advice:

Remember* The mO RE fonts you use in a document, themore readable and beautiful it beconiGS.

6.3 Spacing

6.3.1 Line Spacing

If you want to use larger inter-line spacing in a document, change its valueby putting the

\linespread {factory

command into the preamble of your document. Use \linespreadfl.3}for “one and a half” line spacing, and \linespreadfl. 6} for “double” linespacing. Normally the lines are not spread, so the default line spread factoris 1.

Note that the effect of the \linespread command is rather drastic andnot appropriate for published work. So if you have a good reason for changing

128

Customising I^TeX

the line spacing you might want to use the command:

\setlength{\baselineskip}{l.5\baselineskip}

{\setlength-[\baselineskip}"/o

{1.5\baselineskip}This paragraph is typeset withthe baseline skip set to 1.5 ofwhat it was before. Note the parcommand at the end of theparagraph.\par}

This paragraph has a clearpurpose, it shows that after thecurly brace has been closed,everything is back to normal.

This paragraph is typeset with the base-line skip set to 1.5 of what it was before.Note the par command at the end of theparagraph.

This paragraph has a clear purpose, itshows that after the curly brace has beenclosed, everything is back to normal.

6.3.2 Paragraph Formatting

In ET^X, there are two parameters influencing paragraph layout. By placinga definition like

\set lengthfXpar indent MOpt}

\setlength-C\parskipMlex plus 0.5ex minus 0.2ex}

in the preamble of the input file, you can change the layout of paragraphs.These two commands increase the space between two paragraphs while settingthe paragraph indent to zero.

The plus and minus parts of the length above tell T^X that it cancompress and expand the inter-paragraph skip by the amount specified, ifthis is necessary to properly fit the paragraphs onto the page.

In continental Europe, paragraphs are often separated by some space andnot indented. But beware, this also has its effect on the table of contents.Its lines get spaced more loosely now as well. To avoid this, you mightwant to move the two commands from the preamble into your document tosome place below the command \tableofcontents or to not use them atall, because you’ll find that most professional books use indenting and notspacing to separate paragraphs.

6.3 Spacing

129

If you want to indent a paragraph that is not indented, use

\indent

at the beginning of the paragraph.2 Obviously, this will only have an effectwhen \parindent is not set to zero.

To create a non-indented paragraph, use

\noindent

as the first command of the paragraph. This might come in handy when youstart a document with body text and not with a sectioning command.

6.3.3 Horizontal Space

determines the spaces between words and sentences automatically. Toadd horizontal space, use:

\hspace{fengf/i}

If such a space should be kept even if it falls at the end or the start ofa line, use \hspace* instead of \hspace. The length in the simplest case isjust a number plus a unit. The most important units are listed in Table 6.5.

This\hspace{l.5cmlis a spaceof 1.5 cm.

The command

—

This is a space of 1.5 cm.

\stretchfn}

generates a special rubber space. It stretches until all the remaining spaceon a line is filled up. If multiple \hspace{\stretch{n}-}- commands areissued on the same line, they occupy all available space in proportion of theirrespective stretch factors.

x\hspacel\stretchll}-}- - -

x\hspace{\stretch{3}}x

When using horizontal space together with text, it may make sense tomake the space adjust its size relative to the size of the current font. Thiscan be done by using the text-relative units em and ex:

2To indent the first paragraph after each section head, use the indentfirst package inthe ‘tools’ bundle.

Table 6.5: T^X Units.

mm

millimetre ~ 1/25 inch

U

cm

centimetre =10 mm

1 1

in

inch = 25.4 mm 1

1

pt

point ~ 1/72 inch ~ /

mm J:

em

approx width of an ‘M’

in the current font

ex

approx height of an ‘x’

in the current font

{\Large-Qbig\hspace-[lem}y}\\

{\tinyOtin\hspace-[lem}y}

big y

tin y

6.3.4 Vertical Space

The space between paragraphs, sections, subsections, ... is determinedautomatically by M^X. If necessary, additional vertical space between twoparagraphs can be added with the command:

\vspaceUeng</j}

This command should normally be used between two empty lines. If thespace should be preserved at the top or at the bottom of a page, use thestarred version of the command, \vspace*, instead of \vspace.

The \stretch command, in connection with \pagebreak, can be usedto typeset text on the last line of a page, or to centre text vertically on apage.

Some text \ldots\vspace-[\stretch-[l}-}-

This goes onto the last line of the page.\pagebreak

Additional space between two lines of the same paragraph or within atable is specified with the

V [length]

command.

With \bigskip and \smallskip you can skip a predefined amount ofvertical space without having to worry about exact numbers.

6.4 Page Layout

131

6.4 Page Layout

PT[5]X2£; allows you to specify the paper size in the \documentclass com-mand. It then automatically picks the right text margins, but sometimesyou may not be happy with the predefined values. Naturally, you can changethem. Figure 6.2 shows all the parameters that can be changed. The figurewas produced with the layout package from the tools bundle.3 4

WAIT! ... before you launch into a “Let’s make that narrow page a bitwider” frenzy, take a few seconds to think. As with most things in LT^X,there is a good reason for the page layout to be as it is.

Sure, compared to your off-the-shelf MS Word page, it looks awfullynarrow. But take a look at your favourite book1 and count the number ofcharacters on a standard text line. You will find that there are no more thanabout 66 characters on each line. Now do the same on your ETgX page.You will find that there are also about 66 characters per line. Experienceshows that the reading gets difficult as soon as there are more characterson a single line. This is because it is difficult for the eyes to move from theend of one line to the start of the next one. This is also why newspapers aretypeset in multiple columns.

So if you increase the width of your body text, keep in mind that youare making life difficult for the readers of your paper. But enough of thecautioning, I promised to tell you how you do it ...

LTf^X provides two commands to change these parameters. They areusually used in the document preamble.

The first command assigns a fixed value to any of the parameters:

\set length {parameter} {.length}

The second command adds a length to any of the parameters:

\addtolength {parameter} {length}

This second command is actually more useful than the \setlengthcommand, because it works relative to the existing settings. To add onecentimetre to the overall text width, I put the following commands into thedocument preamble:

\addtolengthf\hof f setH-0.5cm]-\addtolength-C\textwidthMlcm}-

In this context, you might want to look at the calc package. It allowsyou to use arithmetic operations in the argument of \setlength and otherplaces where numeric values are entered into function arguments.

3pkg/tools

4I mean a real printed book produced by a reputable publisher.

1 one inch + \hoffset 2

3 \oddsidemargin = 22pt 4

or \evensidemargin5 \headheight = 12pt 6

7 \textheight = 595pt 8

9 \marginparsep = 7pt 10

11 \footskip = 27pt

\hoffset = Opt\paperwidth = 597pt

one inch + \voffset\topmargin = 22pt

\headsep = 19pt\textwidth = 360pt\marginparwidth = 106pt\marginparpush = 5pt (not shown)\voffset = Opt\paperheight = 845pt

Figure 6.2: Layout parameters for this book. Try the layouts package toprint the layout of your own document.

6.5 More Fun With Lengths

133

6.5 More Fun With Lengths

Whenever possible, I avoid using absolute lengths in FTgX documents. Irather try to base things on the width or height of other page elements. Forthe width of a figure this could be \textwidth in order to make it fill thepage.

The following 3 commands allow you to determine the width, height anddepth of a text string.

\settoheight{variabley{text}\settodepth {variableyitexfi\settowidth{mrza6fe}{iea;t}

The example below shows a possible application of these commands.

\flushleft

\newenvironmentfvardesc} [1] -f°/0\settowidth{\parindent}-[#l: \ }

\makebox[Opt] [r]f#l:\ }}{}

\beginfdisplaymath}

a~2+b~2=c~2

\endfdisplaymath}

\begin{vardescMWhere}$a$,

$b$ — are adjacent to the rightangle of a right-angled triangle.

$c$ — is the hypotenuse ofthe triangle and feels lonely.

$d$ — finally does not show uphere at all. Isn’t that puzzling?\endfvardesc}

2 , , 2 2a + b = c

Where: a, b - are adjacent to the rightangle of a right-angled triangle.

c - is the hypotenuse of thetriangle and feels lonely.

d - finally does not show up hereat all. Isn’t that puzzling?

6.6 Boxes

FTgX builds up its pages by pushing around boxes. At first, each letter isa little box, which is then glued to other letters to form words. These areagain glued to other words, but with special glue, which is elastic so that aseries of words can be squeezed or stretched as to exactly fill a line on thepage.

I admit, this is a very simplistic version of what really happens, but thepoint is that TJ^X operates on glue and boxes. Letters are not the only thingsthat can be boxes. You can put virtually everything into a box, including

134

Customising ET^X

other boxes. Each box will then be handled by ETf5]X as if it were a singleletter.

In earlier chapters you encountered some boxes, although I did not tellyou. The tabular environment and the \includegraphics, for example,both produce a box. This means that you can easily arrange two tables orimages side by side. You just have to make sure that their combined widthis not larger than the textwidth.

You can also pack a paragraph of your choice into a box with either the

\parbox [pos] {.width}{text}

command or the

\beginfminipage} [pos] {wzddi} text \endfminipage}

environment. The pos parameter can take one of the letters c, t or b tocontrol the vertical alignment of the box, relative to the baseline of thesurrounding text, width takes a length argument specifying the width of thebox. The main difference between a minipage and a \parbox is that youcannot use all commands and environments inside a parbox, while almostanything is possible in a minipage.

While \parbox packs up a whole paragraph doing line breaking andeverything, there is also a class of boxing commands that operates onlyon horizontally aligned material. We already know one of them; it’s called\mbox. It simply packs up a series of boxes into another one, and can beused to prevent BTf^X from breaking two words. As boxes can be put insideboxes, these horizontal box packers give you ultimate flexibility.

\makebox liuidth] [pos] {test}

width defines the width of the resulting box as seen from the outside.5Besides the length expressions, you can also use \width, \height, \depth,and \totalheight in the width parameter. They are set from values obtainedby measuring the typeset text. The pos parameter takes a one letter value:center, flushleft, flushright, or spread the text to fill the box.

The command \framebox works exactly the same as \makebox, but itdraws a box around the text.

The following example shows you some things you could do with the\makebox and \framebox commands.

5This means it can be smaller than the material inside the box. You can even setthe width to Opt so that the text inside the box will be typeset without influencing thesurrounding boxes.

6.7 Rules

135

\makebox [\textwidth] {7»centra l}\par\makebox [\textwidth] [s] {“/0s p r e a d}\par\framebox[1.l\width]{Guess I’mframed now!} \par

\framebox[0.8\width] [r] {Bummer, guI am too wide} \par\f ramebox [lcm] [1] {nevermind, so aim 1}

Csui you read this?

Now that we control the horizontal, the obvious next step is to go for thevertical.6 No problem for IM^X. The

centralp r e

Guess I’m framed now!

miner, I am too wide

never lGaidysm anad this?

\raisebox{iz/(} [extend-above-baseline] [extend-below-baseline] {text}

command lets you define the vertical properties of a box. You can use \width,\height, \depth, and \totalheight in the first three parameters, in orderto act upon the size of the box inside the text argument.

\raisebox{0pt} [Opt] [Opt] {\Large“/0\textbf {Aaaa\raisebox{-0.3ex}{a}70\raisebox{-0.7ex}{aa}"/0\raisebox{-l. 2ex}{r}7»

\raisebox{-2.2ex}{g}7»

\raisebox{-4.5ex}{h}}}she shouted, but not even the nextone in line noticed that somethingterrible had happened to her.

she shouted, but noteven the next fig in line noticed that some-thing terrible hacyiappened to her.

6.7 Rules

A few pages back you may have noticed the command

\rule [lift] {width}{height}

In normal use it produces a simple black box.

\rule{3mm}{. lpt}°/0\rule [-1mm] {5mm}{lcm}70\rule{3mm}{. lpt}'/,

\rule [1mm] {lcm}{5mm}7«

\rule{3mm}{.lpt}

®Total control is only to be obtained by controlling both the horizontal and the vertical

136

Customising I^TeX

This is useful for drawing vertical and horizontal lines. The line on the titlepage, for example, has been created with a \rule command.

The End.

Appendix A

Installing lATgjX

Knuth published the source to T^X back in a time when nobody knew aboutOpenSource and/or Free Software. The License that comes with T^X lets youdo whatever you want with the source, but you can only call the result of yourwork T^X if the program passes a set of tests Knuth has also provided. This haslead to a situation where we have free T^X implementations for almost everyOperating System under the sun. This chapter will give some hints on what toinstall on Linux, Mac OS X and Windows, to get a working T^X setup.

A.l What to Install

To use DTgX on any computer system, you need several programs.

1. The TjrX/ITTjrX program for processing your source files into

typeset PDF or DVI documents.

2. A text editor for editing your DT^^X source files. Some products evenlet you start the Dffj^X program from within the editor.

3. A PDF/DVI viewer program for previewing and printing your docu-ments.

4. A program to handle PostScript hies and images for inclusion intoyour documents.

For every platforms there are several programs that fit the requirementsabove. Here we just tell about the ones we know, like and have someexperience with.

A.2 Cross Platform Editor

While T[h]X is available on many different computing platforms, DT^A editorshave long been highly platform specific.

138

Installing lAT^X

Over the past few years I have come to like Texmaker quite a lot. Apartfrom being very a useful editor with integrated pdf-preview and syntax high-lighting, it has the advantage of running on Windows, Mac and Unix/Linuxequally well. See http://www.xmlmath.net/texmaker for further infor-mation. There is also a forked version of Texmaker called TeXstudio onhttp://texstudio.sourceforge.net/. It also seems well maintained andis also available for all three major platforms.

You will find some platform specific editor suggestions in the OS sectionsbelow.

A.3 TgX on Mac OS X

A.3.1 T^jX Distribution

Just download MacTeX. It is a pre-compiled DT[h]X distribution for OS X.MacTeX provides a full IAT^X installation plus a number of additional tools.Get MacTgX from http://www.tug.org/mactex/.

A.3.2 OSX TfeX Editor

If you are not happy with our cross-platform suggestion Texmaker (sectionA.2).

The most popular open source editor for DTp]X on the mac seems to beTgXshop. Get a copy from http://www.uoregon.edu/~koch/texshop. Itis also contained in the MacTeX distribution.

Recent TpXLive distributions contain the T|h]Xworks editor http: //texworks.org/ which is a multi-platform editor based on the Tf^XShopdesign. Since Tj^Xworks uses the Qt toolkit, it is available on any platformsupported by this toolkit (MacOS X, Windows, Linux.)

A.3.3 Treat yourself to PDFView

Use PDFView for viewing PDF files generated by DTppC, it integrates tightlywith your DTj^X text editor. PDFView is an open-source application, avail-able from the PDFView website on

http://pdfview.sourceforge.net/. After installing, open PDFViews pref-erences dialog and make sure that the automatically reload documents optionis enabled and that PDFSync support is set appropriately.

A.4 TgX on Windows

A.4.1 Getting T^jX

First, get a copy of the excellent MiKT^X distribution fromhttp://www.miktex.org/. It contains all the basic programs and files

A.5 TgX on Linux

139

required to compile RTj^X documents. The coolest feature in my eyes, isthat MiKT^X will download missing Rl^X packages on the fly and installthem magically while compiling a document. Alternatively you can also usethe TeXlive distribution which exists for Windows, Unix and Mac OS to getyour base setup going http://www.tug.org/texlive/.

A.4.2 A DT[7pC editor

If you are not happy with our crossplatform suggestion Texmaker (sectionA.2).

TeXnicCenter uses many concepts from the programming-world to pro-vide a nice and efficient FT^X writing environment in Windows. Get yourcopy from

http: //www. texniccenter. org/. TeXnicCenter integrates nicely with MiK-TeX.

Recent T^XLive distributions contain the T^Xworks Editor http://texworks.org/. It supports Unicode and requires at least Windows XP.

A.4.3 Document Preview

You will most likely be using Yap for DVI preview as it gets installedwith MikTeX. For PDF you may want to look at Sumatra PDF http://blog.kowalczyk. inf o/software/sumatrapdf/. I mention Sumatra PDFbecause it lets you jump from any position in the pdf document back intocorresponding position in your source document.

A.4.4 Working with graphics

Working with high quality graphics in FT[5]X means that you have to useEncapsulated PostScript (eps) or PDF as your picture format. Theprogram that helps you deal with this is called GhostScript. You can getit, together with its own front-end Ghostview, from http://www.cs.wisc.edu/~ghost/.

If you deal with bitmap graphics (photos and scanned material), youmay want to have a look at the open source Photoshop alternative Gimp,available from http://gimp-win.sourceforge.net/.

A.5 TfjjX on Linux

If you work with Linux, chances are high that FTj^X is already installed onyour system, or at least available on the installation source you used to setup.Use your package manager to install the following packages:

• texlive - the base T^X/FT^X setup.

140

Installing lAT^X

• emacs (with AUCTeX) - an editor that integrates tightly with IXFgXthrough the add-on AUCTeX package.

• ghostscript - a PostScript preview program.

• xpdf and acrobat - a PDF preview program.

• imagemagick - a free program for converting bitmap images.

• gimp - a free Photoshop look-a-like.

• inkscape - a free illustrator/corel draw look-a-like.

If you are looking for a more windows like graphical editing environment,check out Texmaker. See section A.2.

Most Linux distros insist on splitting up their T^]X environments into alarge number of optional packages, so if something is missing after your firstinstall, go check again.

Bibliography

[1] Leslie Lamport. ETfiX: A Document Preparation System. Addison-Wesley, Reading, Massachusetts, second edition, 1994, ISBN 0-201-52983-1.

[2] Donald E. Knuth. The TpfXbook, Volume A of Computers and Type-setting, Addison-Wesley, Reading, Massachusetts, second edition, 1984,ISBN 0-201-13448-9.

[3] Frank Mittelbach, Michel Goossens, Johannes Braams, David Carlisle,Chris Rowley. The DTpfX Companion, (2nd Edition). Addison-Wesley,Reading, Massachusetts, 2004, ISBN 0-201-36299-6.

[4] Michel Goossens, Sebastian Rahtz and Frank Mittelbach. The DTpfXGraphics Companion. Addison-Wesley, Reading, Massachusetts, 1997,ISBN 0-201-85469-4.

[5] Each DTgX installation should provide a so-called DTpjX Local Guide,which explains the things that are special to the local system. It shouldbe contained in a file called local.tex. Unfortunately, some lazy sysopsdo not provide such a document. In this case, go and ask your localDTj^X guru for help.

[6] DTeX3 Project Team. DTjrfX 2£ for authors. Comes with the DTj^X 2edistribution as usrguide.tex.

[7] Project Team. PTjfT2£ for Class and Package writers. Comeswith the DTj^X2£ distribution as clsguide.tex.

[8] DTgX3 Project Team. DTpfi2e Font selection. Comes with the WL^f)X2£distribution as fntguide.tex.

[9] D. P. Carlisle. Packages in the ‘graphics’ bundle. Comes with the‘graphics’ bundle as grfguide.tex, available from the same source yourDTj^X distribution came from.

[10] Rainer Schopf, Bernd Raichle, Chris Rowley. A New Implementationof DTpfX’s verbatim Environments. Comes with the ‘tools’ bundle as

142

BIBLIOGRAPHY

verbatim.dtx, available from the same source your BT^X distributioncame from.

[11] Vladimir Volovich, Werner Lemberg and RT^X3 Project Team. Cyrilliclanguages support in WTjpfX. Comes with the WTpffA2^ distribution ascyrguide.tex.

[12] Graham Williams. The TeX Catalogue is a very complete listing ofmany TgX and BTf5]X related packages. Available online from CTAN://help/Catalogue/catalogue.html

[13] Keith Reckdahl. Using EPS Graphics in DTgX2s Documents, whichexplains everything and much more than you ever wanted to knowabout EPS files and their use in DTgX documents. Available online fromCTAN://info/epslatex.ps

[14] Kristoffer H. Rose. Xy-pic User’s Guide. Downloadable from CTANwith X^-pic distribution

[15] John D. Hobby. A User’s Manual for METRPOST. Downloadable fromhttp://cm.bell-labs.com/who/hobby/

[16] Alan Hoenig. TpX Unbound. Oxford University Press, 1998, ISBN0-19-509685-1; 0-19-509686-X (pbk.)

[17] Urs Oswald. Graphics in DTpfX2e, containing some Java source files forgenerating arbitrary circles and ellipses within the picture environment,and METRPOST - A Tutorial. Both downloadable from http://www.ursoswald.ch

[18] Till Tantau. TikZ&PGF Manual. Download from CTAN://graphics/pgf/base/doc/generic/pgf/pgfmanual.pdf

[19] Frangois Charette. Polyglossia: A Babel Replacement for XfjBTfiX.Comes with the TgXLive distribution as polyglossia.pdf. (Typetexdoc polyglossia on the command line.)

[20] Frangois Charette. An ArabTpfX-like interface for typesetting languagesin Arabic script with XfpDTpX. Comes with the T^XLive distribution asarabxetex.pdf. (Type texdoc arabxetex on the command line.)

[21] Will Robertson and Khaled Hosny. The fontspec package. Comes withthe Tf^XLive distribution as fontspec.pdf. (Type texdoc fontspecon the command line.)

[22] Apostolos Syropoulos. The xgreek package. Comes with the Tj^XLivedistribution as xgreek.pdf. (Type texdoc xgreek on the commandline.)

BIBLIOGRAPHY

143

[23] Vafa Khalighi. The bidi package. Comes with the T^XLive distributionas bidi.pdf. (Type texdoc bidi on the command line.

[24] Vafa Khalighi. The XePersian package. Comes with the Tfn^XLivedistribution as xepersian-doc.pdf. (Type texdoc xepersian on thecommand line.

[25] Wenchang Sun. The xeCJK package. Comes with the Tf^XLive distribu-tion as xeCJK.pdf. (Type texdoc xecjk on the command line.

Index

Symbols

\!, 69", 21" >, 3333, 33"<, 33"=, 33">, 33" ‘, 33$, 53

\,, 55, 69-, 22-, 22\-, 20- 22—, 22

., space after, 38•••, 24\:, 69\;, 69\a, 38\[, 54, 55

\\, 19, 43, 44, 46, 130\\*, 19\], 54~, 38

A

A4 paper, 11A5 paper, 11a, 25

abstract, 44

accent, 24Acrobat Reader, 91acute, 25

\addtolength, 131

advantages of IAl^cX, 3ae, 25align, 62\Alph, 32, 33\alph, 32, 33\Alpha, 75

American Mathematical Society, 53amsbsy, 71amsfonts, 70, 79amsmath, 53, 59, 60, 68, 69, 71amssymb, 56, 70, 75amsthm, 71, 72\and, 40ansinew, 26apostrophe, 58\appendix, 39, 40applemac, 26Arabic, 37arabxetex, 37\arccos, 58\arcsin, 58\arctan, 58\arg, 58array, 67, 68\arraystretch, 47arrow symbols, 58article class, 10\Asbuk, 32\asbuk, 32\author, 40, 96

B

B5 paper, 11

babel, 20, 25, 32-35, 116

\backmatter, 40

INDEX

145

backslash, 5\bar, 58

base font size, 11beamer, 100-102, 105\begin, 42, 106, 114\Beta, 75\bibitem, 85bibliography, 85bicig, 33bidi, 36, 37\Big, 60\big, 60

\Bigg, 60\bigg, 60\bigskip, 130binary relations, 59\binom, 59

binomial coefficient, 59blackboard bold, 56block,102bm, 71Bmatrix, 68bmatrix, 68\bmod, 58bold face, 124bold symbols, 56, 71\boldmath, 71\boldsymbol, 71book class, 10booktabs, 48brace

horizontal, 57bracketing, 60brazilian, 27

c

calc, 131

\caption, 50, 51cases, 68\cdot, 57\cdots, 57center, 43\chapter, 39\chaptermark, 89

Chinese, 38\ci,119\circle,109\circle*,109\cite, 85

\cleardoublepage, 51\clearpage, 51\cline, 46color, 100coloured text, 10comma, 23commands, 5\!, 69\,, 55, 69\-, 20\:, 69\;, 69\®, 38\[, 54, 55

\\, 19, 43, 44, 46, 130\\*, 19\], 54

\addtolength, 131\Alph, 32, 33\alph, 32, 33\Alpha, 75\and, 40

\appendix, 39, 40\arccos, 58\arcsin, 58\arctan, 58\arg, 58

\arraystretch, 47\Asbuk, 32\asbuk, 32\author, 40, 96\backmatter, 40\bar, 58

\begin, 42, 106, 114\Beta, 75\bibitem, 85\Big, 60\big, 60

\Bigg, 60

146

INDEX

\bigg, 60\bigskip,130\binom, 59\bmod, 58\boldmath, 71\boldsymbol, 71\caption, 50, 51\cdot, 57\cdots, 57\chapter, 39\chaptermark, 89\ci,119\circle,109\circle*,109\cite, 85

\cleardoublepage, 51

\clearpage, 51

\cline, 46

\cos,58

\cosh, 58

\cot, 58

\coth, 58

\csc,58

\date, 40

\ddots, 57

\DeclareMathOperator, 58

\deg, 58

\depth, 134, 135

\det, 58

\dfrac, 59

\dim, 58

\displaystyle, 70\documentclass, 9, 14, 20\dq, 29\dum,119

\emph, 42,124,126\end, 42, 106\enumBul, 32\enumEng, 32\enumLat, 32\eqref, 54\exp, 58\fbox, 21\flq, 29

\flqq, 29\foldera, 113\folderb, 113\footnote, 41, 51\footskip, 132\frac, 59\framebox,134\frenchspacing, 32, 38\frontmatter, 40\frq, 29\frqq, 29\fussy, 20\gcd, 58\hat, 58

\headheight,132\headsep,132\height, 134, 135\hline, 46\hom, 58

\href, 95, 96, 98\hspace, 121, 129\hyphenation, 20\idotsint, 69

\IEEEeqnarraymulticol, 65\IEEEmulticol, 67\IEEEnomimber, 66\IEEEyesnumber, 67\IEEEyessubnumber, 67\ifpdf, 97

\ignorespaces, 121, 122\ignorespacesafterend, 122\iiiint, 69\iiint, 69Mint, 69\include, 14, 15\includegraphics, 84, 93, 97,134

Mncludeonly, 15\indent,129\index, 86, 87\inf, 58\input,15\int, 60\item, 42

INDEX

147

\ker, 58

Mabel, 41, 50, 54

\LaTeX, 21

\LaTeXe, 21

\ldots, 24, 57

\left, 60

\lefteqn, 63, 65

\leftmark, 87, 89

\lg, 58

Mim, 58

Miminf, 58

Mimsup, 58

Mine, 108, 113

Minebreak, 19

Minespread, 127

Minethickness, 110, 111, 113

\listoffigures, 50

Mistoftables, 50

Mn, 58

Mog, 58

\mainmatter, 40, 96\makebox, 134\makeindex, 86\maketitle, 40\marginparpush, 132\marginparsep, 132\marginparwidth, 132\mathbb, 56\max, 58

\mbox, 21, 24, 134\min, 58

\multicolumn, 47\multicolumns, 65\multiput, 107, 110\negmedspace, 66\newcommand, 69, 120, 121\newenvironment, 121\newline, 19\newpage, 19\newsavebox, 112\newtheorem, 71\noindent, 129\nolinebreak, 19\nombre, 28

\nonumber, 66\nopagebreak, 19\not, 76

\oddsidemargin, 132\oval, 111, 113\overbrace, 57\overleftarrow, 58\overline, 57\overrightarrow, 58\pagebreak, 19\pageref, 41, 90\pagestyle, 13\paperheight, 132\paperwidth, 132\par, 124\paragraph, 39\parbox, 134\parindent, 128\parskip, 128\part, 39\partial, 59\phantom, 51, 70\pmod, 58\Pr, 58

\printindex, 87\prod, 60\protect, 51\providecommand, 121\ProvidesPackage, 123\put, 107-112\qbezier, 105, 107, 113\qedhere, 73, 74\qquad, 55, 69\quad, 55, 66, 69\raisebox,135\ref, 41, 50, 90\renewcommand, 120\renewenvironment, 121\right, 60, 67\right., 60\rightmark, 87, 89\rule, 48, 121, 135, 136\savebox,112\scriptscriptstyle, 70

148

INDEX

\scriptstyle, 70

\thispagestyle, 13

\sec, 58

\title, 40

\section, 39, 51

\tnss, 120

\sectionmark, 89

\today, 21

\selectlanguage, 26

\topmargin, 132

\setlength, 106, 128, 131

\totalheight, 134, 135

\settodepth, 133

\ud, 69

\settoheight, 133

\underbrace, 57

\settowidth,133

\underline, 42, 57

\shorthandoff, 116

\unitlength, 106, 108

\sin, 58

\usebox, 112

\sinh, 58

\usepackage, 10, 13, 23

\slash, 22

33, 123

\sloppy, 20

\usetikzlibrary, 117

\smallskip,130

\vdots, 57

\smash, 55

\vec, 58

\sqrt, 57

\vector, 108

\stackrel, 59

\verb, 45

\stretch,121,129

\verbatiminput, 89

\subparagraph, 39

\vspace, 130

\subsection, 39

\widehat, 58

\subsectionmark, 89

\widetilde, 58

\substack, 60

\width, 134, 135

\subsubsection, 39

comment, 6

\sum, 60

comments, 6

\sup, 58

\cos, 58

\tabcolsep, 47

\cosh, 58

\tableofcontents, 39

\cot, 58

\tag, 54

\coth, 58

\tan, 58

cpl251, 26, 34

\tanh, 58

cp850, 26

\TeX, 21

cp866nav, 26

\texorpdfstring, 97

cross-references, 41

\textbackslash, 5

\csc, 58

\textcelsius, 23

curly braces, 5, 124

\textdegree, 23\texteuro, 23

Cyrillic, 36

\textheight,132

D

\textstyle, 70

dash, 22

\textwidth,132

\date, 40

\tfrac, 59

dcolumn, 47

\theoremstyle, 71

\ddots, 57

\thicklines, 108, 111, 113

decimal alignment, 47

\thinlines, 111, 113

\DeclareMathOperator, 58

INDEX

149

\deg, 58

degree symbol, 22delimiters, 60\depth, 134, 135description, 42\det, 58Deutsch, 29\dfrac, 59diagonal dots, 57\dim, 58dimensions, 129display style, 53, 55displaymath, 54\displaystyle, 70doc, 12

document font size, 11document title, 11\documentclass, 9, 14, 20dot, 57

dotless i and j, 25dots, 57three, 57

double line spacing, 127double sided, 11\dq, 29\dum,119

E

eepic, 109ellipsis, 23em-dash, 22\emph, 42, 124, 126empty, 13en-dash, 22

Encapsulated PostScript, 83, 93139

encodingsfontLGR, 270T1, 27Tl, 27, 32T2*, 32T2A, 27, 32T2B, 27

T2C, 27X2, 27input

ansinew, 26applemac, 26cpl251, 26, 34cp850, 26cp866nav, 26koi8-ru, 26, 32latinl, 26macukr, 26mn, 34utf8, 26, 34\end, 42,106\enumBul, 32\enumEng, 32enumerate, 42\enumLat, 32environmentsBmatrix, 68

IEEEeqnarray, 61, 62, 64Vmatrix, 68abstract, 44align, 62array, 67, 68block,102bmatrix, 68cases, 68center, 43comment, 6description, 42displaymath, 54enumerate, 42eqnarray, 63equation*, 54, 55, 61equation, 54, 55, 61, 63figure, 49, 50flushleft, 43flushright, 43frame, 102itemize, 42lscommand, 119matrix, 68minipage, 134

150

INDEX

multline*, 61multline, 61, 63parbox, 134

picture, 105, 106, 109, 110pmatrix, 68proof, 72quotation, 44quote, 44table, 49, 50tabular, 45, 134thebibliography, 85tikzpicture, 115verbatim, 45, 89verse, 44vmatrix, 68eqnarray, 63\eqref, 54equation, 53DTeX, 54amsmath, 54multiple, 62

equation, 54, 55, 61, 63equation*, 54, 55, 61eurosym, 23executive paper, 11\exp, 58exponent, 56exscale, 12

extension,

13

. aux,

14

. els,

14

. dtx,

13

. dvi,

14;

00

.eps,

84

.fd, 14

. idx,

14;

86

•ilg,

14

. ind,

14;

86

. ins,

14

. lof,

14

•log,

14

. lot,

14

.sty,

13;

90

.tex,

8,

13

.toe,14

F

fancyhdr, 87-89\fbox, 21figure, 49, 50file types, 13floating bodies, 48\flq, 29\flqq, 29flushleft, 43flushright, 43\foldera, 113\folderb, 113font, 123

\footnotesize, 124\Huge, 124\huge, 124\LARGE, 124\Large, 124\large, 124\mathbf,125\mathcal, 125\mathit,125\mathnormal,125\mathrm, 125\mathsf, 125\mathtt, 125\normalsize, 124\scriptsize, 124\small, 124\textbf, 124\textit,124\textmd,124\textnormal,124\textrm,124\textsc, 124\textsf, 124\textsl, 124\texttt,124\textup,124\tiny, 124font encoding, 12font encodings, 27

INDEX

151

LGR, 27□Tl, 27Tl, 27, 32T2*, 32T2A, 27, 32T2B, 27T2C, 27X2, 27

font size, 123, 124fontenc, 12, 27, 32fontspec, 35, 99footer, 13\footnote, 41, 51\footnotesize, 124\footskip, 132\frac, 59fraction, 59fragile commands, 51frame, 102\framebox, 134French, 28frenchb, 28

\frenchspacing, 32, 38\frontmatter, 40\frq, 29\frqq, 29\fussy, 20

G

\gcd, 58geometry, 89German, 25, 29GhostScript, 9, 83, 139Ghostview, 139Gimp, 139graphics, 10, 83graphicx, 83, 93, 100grave, 25Greek, 31, 36Greek letters, 56grouping, 124

H

\hat, 58

header, 13\headheight, 132textttheadings, 13\headsep, 132Hebrew, 37\height, 134, 135\hline, 46\hom, 58horizontalbrace, 57dots, 57line, 57space, 129\href, 95, 96, 98\hspace, 121, 129\Huge, 124\huge, 124

hyperref, 36, 91, 93, 94, 97, 98, 100hypertext, 90hyphen, 22

hyphenat, 89\hyphenation, 20

I

\idotsint, 69IEEEeqnarray, 61, 62, 64\IEEEeqnarraymulticol, 65\IEEEmulticol, 67\IEEEnonumber, 66lEEEtrantools, 64\IEEEyesnumber, 67\IEEEyessubnumber, 67ifpdf, 97\ifpdf, 97ifthen, 12

\ignorespaces, 121, 122

\ignorespacesafterend, 122

\iiiint, 69

\iiint, 69

Mint, 69

\include, 14, 15

Mncludegraphics, 84, 93, 97, 134Mncludeonly, 15\indent,129

152

INDEX

indentfirst, 129index, 86\index, 86, 87\inf, 58\input,15input encodingsansinew, 26applemac, 26cpl251, 26, 34cp850, 26cp866nav, 26koi8-ru, 26, 32latinl, 26macukr, 26mn, 34

utf8, 26, 34input file, 7inputenc, 12, 26, 32\int, 60

integral operator, 60international, 24italic, 124\item, 42itemize, 42

J

Japanese, 38Jawi, 37

K

kashida, 37Kashmiri, 37\ker, 58

Knuth, Donald E., 1koi8-ru, 26, 32Korean, 38kotex, 30Kurdish, 37

L

\label, 41, 50, 54Lamport, Leslie, 2language, 24\LARGE,124\Large, 124

\large,124\LaTeX, 21D1£X3, 4\LaTeXe, 21latexsym, 12latinl, 26layout, 131layouts, 132\ldots, 24, 57\left, 60left aligned, 43\lefteqn, 63, 65\leftmark, 87, 89legal paper, 11letter paper, 11\lg, 58LGR, 27ligature, 24\lim, 58\liminf, 58\limsup, 58line

horizontal, 57Mine, 108, 113line break, 19line spacing, 127\linebreak, 19\linespread, 127\linethickness, 110, 111, 113\listoffigures, 50\listoftables, 50\ln, 58\log, 58

long equations, 61longtable, 47lscommand, 119

M

MacTeX, 138macukr, 26\mainmatter, 40, 96\makebox, 134makeidx, 12, 86makeidx package, 86

INDEX

153

\makeindex, 86makeindex program, 86\maketitle, 40Malay, 37

\marginparpush, 132\marginparsep, 132\marginparwidth, 132margins, 131math mode, 55math spacing, 69\mathbb, 56\mathbf, 125\mathcal, 125mathematicalaccents, 57delimiter, 60functions, 58minus, 22mathematics, 53\mathit, 125\mathnormal, 125\mathrm, 125mathrsfs, 79\mathsf, 125mathtext, 32\mathtt, 125matrix, 68matrix, 68\max, 58

\mbox, 21, 24, 134memoir, 30METAPOST, 93mhchem, 70microtype, 100MiKTeX, 138\min, 58

minimal class, 10minipage, 134minus sign, 22Mittelbach, Frank, 2mn, 34

modulo function, 58

\multicolumn, 47\multicolumns, 65

\multiput, 107, 110multline, 61, 63multline*, 61

N

\negmedspace, 66\newcommand, 69, 120, 121\newenvironment, 121\newline, 19\newpage, 19\newsavebox, 112\newtheorem, 71\noindent, 129\nolinebreak, 19\nombre, 28\nonumber, 66\nopagebreak, 19\normalsize, 124\not, 76ntheorem, 72numprint, 28

O

oblivoir, 30

\oddsidemargin, 132

ce, 25

one column, 11option, 9

optional parameters, 50T1, 27Ottoman, 37\oval,111,113\overbrace, 57overfull hbox, 20\overleftarrow, 58\overline, 57\overrightarrow, 58

P

package, 7, 10, 119packages

amsbsy, 71amsfonts, 70, 79amsmath, 53, 59, 60, 68, 69, 71amssymb, 56, 70, 75

amsthm, 71, 72arabxetex, 37babel, 20, 25, 32-35, 116beamer, 100-102, 105bicig, 33bidi, 36, 37bm, 71booktabs, 48calc, 131color, 100dcolumn, 47doc, 12eepic, 109eurosym, 23exscale, 12fancyhdr, 87-89fontenc, 12, 27, 32fontspec, 35, 99frenchb, 28geometry, 89graphicx, 83, 93, 100hyperref, 36, 91, 93, 94,100

hyphenat, 89lEEEtrantools, 64ifpdf, 97ifthen, 12indentfirst, 129inputenc, 12, 26, 32kotex, 30latexsym, 12layout, 131layouts, 132longtable, 47makeidx, 12, 86mathrsfs, 79mathtext, 32memoir, 30mhchem, 70microtype, 100ntheorem, 72numprint, 28oblivoir, 30pgf, 105, 115, 118

pgfplot, 118polyglossia, 35-37ppower4, 100prosper, 100pstricks, 109pxfonts, 93showidx, 87syntonly, 12, 15text comp, 23tikz, 105, 115, 116txfonts, 93verbatim, 6, 89xalx, 33xeCJK, 38xepersian, 37xgreek, 36page layout, 131page style, 13empty, 13headings, 13plain, 1397, 98,\pagebreak, 19\pageref, 41, 90\pagestyle, 13paper size, 11, 91, 131\paperheight, 132\paperwidth, 132\par,124paragraph, 17\paragraph, 39parameter, 5\parbox, 134parbox, 134\parindent,128\parskip, 128\part, 39\partial, 59partial derivative, 59Pashto, 37PDF, 90, 98pdf'DTEX, 92, 100pdf'DTEX, 91pdfTgX, 91PDFYiew, 138

INDEX

155

period, 23Persian, 37pgf, 105, 115, 118pgfplot, 118\phantom, 51, 70picture, 105, 106, 109, 110piecewise function, 67placement specifier, 49plain, 13pmatrix, 68\pmod, 58polyglossia, 35-37Portugues, 27Portuguese, 27

PostScript, 3, 9, 51, 83, 84, 92100, 106, 137, 140Encapsulated, 83, 93, 139ppower4, 100\Pr, 58preamble, 7prime, 58\printindex, 87proc class, 10\prod, 60

product operator, 60proof, 72prosper, 100\protect, 51\providecommand, 121\ProvidesPackage, 123pstricks, 109\put, 107-112pxfonts, 93

Q

\qbezier, 105, 107, 113\qedhere, 73, 74\qquad, 55, 69\quad, 55, 66, 69quotation, 44quotation marks, 21quote, 44

R

\raisebox, 135\ref, 41, 50, 90\renewcommand, 120\renewenvironment, 121report class, 10reserved characters, 5\right, 60, 67right-aligned, 43\right., 60\rightmark, 87, 89roman, 124

\rule, 48, 121, 135, 136Russian, 36

97> s

sans serif, 124\savebox,112Scandinavian letters, 25

\scriptscriptstyle, 70\scriptsize,124\scriptstyle, 70\sec, 58

\section, 39, 51\sectionmark, 89\selectlanguage, 26\setlength, 106, 128, 131\settodepth, 133\settoheight,133\settowidth, 133\shorthandoff, 116showidx, 87\sin, 58Sindhi, 37single sided, 11\sinh, 58slanted, 124Slash, 22\slash, 22slides class, 10\sloppy, 20\small, 124Small Caps, 124\smallskip, 130

156

INDEX

\smash, 55space, 4spacing

math mode, 55special character, 24\sqrt, 57square brackets, 5square root, 57\stackrel, 59\stretch, 121, 129structure, 7strut, 48

\subparagraph, 39subscript, 56\subsection, 39\subsectionmark, 89\substack, 60\subsubsection, 39\sum, 60

sum operator, 60\sup, 58superscript, 56syntonly, 12, 15

T

Tl, 27, 32T2*, 32T2A, 27, 32T2B, 27T2C, 27

\tabcolsep, 47table, 45table, 49, 50table of contents, 39\tableofcontents, 39tabular, 45, 134\tag, 54\tan, 58\tanh, 58\TeX, 21

TeXnicCenter, 139\texorpdfstring, 97text style, 53, 55\textbackslash, 5

\textbf,124\textcelsius, 23text comp, 23\textdegree, 23\texteuro, 23\textheight, 132\textit, 124\textmd, 124\textnormal, 124\textrm, 124\textsc, 124\textsf, 124\textsl, 124\textstyle, 70\texttt,124\textup,124\textwidth, 132\tfrac, 59

thebibliography, 85\theoremstyle, 71\thicklines, 108, 111, 113\thinlines, 111, 113\thispagestyle, 13tikz, 105, 115, 116tikzpicture, 115tilde, 22, 57tilde ( ~), 38\tiny,124title, 11, 40\title, 40\tnss,120\today, 21\topmargin, 132\totalheight, 134, 135Turkish, 37two column, 11txfonts, 93

U

\ud, 69Uighur, 37umlaut, 25\underbrace, 57underfull hbox, 20

INDEX

157

\underline, 42, 57\unitlength, 106, 108units, 129, 130

XgT^X, 98xgreek, 36Xpdf, 91

upright, 124Urdu, 37URL link, 22\usebox, 112

\usepackage, 10, 13, 23, 25-27, 33,123

\usetikzlibrary, 117utf8, 26, 34

V

\vdots, 57\vec, 58\vector, 108vectors, 58\verb, 45verbatim, 6, 89verbatim, 45, 89\verbatiminput, 89verse, 44vertical

dots, 57

vertical space, 130

Vmatrix, 68vmatrix, 68\vspace, 130

W

whitespace, 4

after commands, 5at the start of a line, 4\widehat, 58\widetilde, 58\width, 134, 135Word, 87WYSIWYG, 2, 3

X

X2, 27xalx, 33xeCJK, 38X3UTEX, 98xepersian, 37