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XI
.2. T
HEtableENVIRONMENT
131
t
Thetoplineofthetableisalignedwiththebaselineofthecurrent
externallineoftext.
b
Thebottomlineofthetableisalignedwiththeexternalbaseline.
Withnopositioningargumentgiven,thetableiscenteredontheexternalbase-
line.
width
Thisargumentappliesonlytothe
tabular*
environmentanddeterminesits
overallwidth. Inthiscase,thecolsargumentmustcontainthe
@
-expression
(seebelow)
@{\extracolsep{\fill}}
somewhereafterthefirstentry. Forthe
othertwoenvironments,thetotalwidthisfixedbythetextualcontent.
cols
Thecolumnformattingargument. Theremustbeanentryforeverycolumn,
aswellaspossibleextraentriesfortheleftandrightbordersofthetableorfor
theinter-columnspacings.Thepossiblecolumnformattingsymbolsare:
l
Thecolumncontentsareleftjustified.
c
Thecolumncontentsarecentered.
r
Thecolumncontentsarerightjustified.
{
wd
}
Thetextinthis columnissetintolines ofwidthwd
and the top line is aligned with the other r columns.
Infact,thetextissetinaparboxwiththecommand
\parbox[
t
]{
wd
}{
columntext
}
.
*
{
num
}{
cols
}
The column n format contained in cols is reproduced
numtimes,sothat
*{3}{|c|}|
isthesameas
|c|c|c|
.
Theavailableformattingsymbolsforrightandleftbordersandfortheinter-column
spacingare:
|
Drawsaverticalline.
Drawstwoverticallinesnexttoeachother.
@
{
text
}
Thisentryisreferredtoasan
@
-expression,andinserts
textineverylineofthetablebetweenthetwocolumns
whereitappears.
@
-expressionremovesthe inter-columnspacingthatis automatically putbetween
eachpairofcolumns.Ifwhitespaceisneededbetweentheinsertedtextandthenextcol-
umn,thismustbeexplicitlyincludedwith
\hspace{ }
withinthetextofthe
@
-expression.
Iftheinter-columnspacingbetweentwoparticularcolumnsistobesomethingotherthan
thestandard, thismaybe easilyachievedbyplacing
@{\hspace{wd}}
betweentheap-
propriatecolumnsintheformattingargument. Thisreplacesthestandardinter-column
spacingwiththewidthwd.
An
\extracolsep{
wd
}
withinan
@
-expressionwillputextraspacingofamountwd
betweenallthefollowingcolumns,untilcountermandedbyanother
\extracolsep
com-
mand.Incontrasttothestandardspacing,thisadditionalspacingisnotremovedbylater
@
-expression.Inthe
\tabular*
environment,theremustbeacommand
@{\extracolsep\fill}
somewhereinthecolumnformatsothatallthesubsequentinter-columnspacingscan
stretchouttofillthepredefinedtablewidth.
Iftheleftorrightbordersofthetabledonotconsistofaverticalline,aspacingequal
tohalfthenormalinter-columnspacingisaddedthere.Ifthisspacingisnotrequired,it
maybesuppressedbyincludinganempty
@
-expression
@{}
atthebeginningorendofthe
columnformat.
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132
XI
. F
LOATS
rows
Containtheactualentriesinthetable,eachhorizontalrowbeingterminated
with
\\
. Theserowsconsistofasequenceofcolumnentriesseparatedfrom
eachother bythe
&
symbol. Thus s eachrowinthetablecontains thesame
numberofcolumnentriesasinthecolumndefinitioncols.Someentriesmaybe
empty.TheindividualcolumnentriesaretreatedbyL
A
T
E
Xasthoughtheywere
enclosedinbraces
{ }
,sothatanychangeintypestyleorsizearerestrictedto
thatonecolumn.
\hline
Thiscommandmayonlyappearbeforethefirstroworimmediatelyafterarow
termination
\\
.Itdrawsahorizontallinethefullwidthofthetablebelowthe
rowthatwasjustended,oratthetopofthetableifitcomesatthebeginning.
Two
\hline
commandstogetherdrawtwohorizontallineswithalittlespace
betweenthem.
\cline
{nm}
Thiscommanddrawsahorizontallinefromtheleftsideofcolumnntothe
rightsideofcolumnm. Like
\hline
,itmayonlybegivenjustafter arow
termination
\\
,andtheremaybemorethanoneafteranother.Thecommand
\cline{
1-3
}\cline{
5-7
}
drawstwohorizontallinesfromcolumn1to3and
fromcolumn5to7,belowtherowthatwasjustended. Ineachcase,thefull
columnwidthsareunderlined.
\vline
Thiscommanddrawsaverticallinewiththeheightoftherowatthelocation
whereitappears.Inthisway,verticallinesthatdonotextendthewholeheight
ofthetablemaybeinsertedwithacolumn.
\multicolumn
{
num
}{
col
}{
text
}
Thiscommandcombinesthefollowingnumcolumnsintoasinglecolumnwith
theirtotalwidthincludinginter-columnspacing. Theargumentcolcontains
exactlyoneofthepositioningsymbols
l
,
r
,
c
,withpossible
@
-expressionsand
vertical lines
"
. A A value of 1maybegivenfor num whenthepositioning
argumentistobechangedforthatcolumninoneparticularrow.
Inthis context, a a ‘column’ starts s witha a positioning symbol
l
,
r
, or
c
and
includeseverythinguptobutexcludingthenextone. Thefirstcolumnalso
includeseverythingbeforethefirstpositioningsymbol.Thus
c@{}rl"
contains
threecolumns:thefirstis
"c@{}
,thesecond
r
,andthethird
r"
.
XI
.2.2. Tablestyleparameters
ThereareanumberofstyleparametersusedingeneratingtableswhichLAT
E
Xsetstostan-
dardvalues. Thesemaybealteredbytheuser,either r globallywithinthepreambleor
locallyinsideanenvironment. Theyshouldnotbechangedwithinthe
tabular
environ-
ment.
\tabcolsep
ishalfthewidthofthespacingthatisinsertedbetweencolumnsinthe
tabular
and
tabular*
environments.
\arrayrulewidth
isthethicknessoftheverticalandhorizontallineswithinatable.
\doublerulesep
istheseparationbetweenthelinesofadoublerule.
\arraystretch
canbeusedtochangethedistancebetweentherows ofatable.
Thisisamultiplyingfactor,withastandardvalueof
1
.Avalueof
1.5
meansthat
theinter-rowspacingisincreasedby50%. Anewvalueissetbyredefiningthe
parameterwiththecommand:
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XI
.2. T
HEtableENVIRONMENT
133
\renewcommand{
\arraystrech
}{
factor
}
Followingarethecommandsforchangingthetablestyleparametersthatrelateto
dimensions:
\setlength\tabcolsep{
dimen
}
\setlength\arrayrulewidth{
dimen
}
\setlength\doublerulesep{
dimen
}
XI
.2.3. Example
Creatingtables is much h easier r in n practice e thanitwouldseem from theabove listof
formattingpossibilities.Thisisbestillustratedwithanexample.
Thesimplesttableconsistsofrowsandcolumnsinwhichthetextentriesareeither
centeredorjustifiedtooneside. Thecolumnwidths,thespacingbetweenthecolumns,
andthustheentirewidthofthetableareautomaticallycalculated.
SampleTabular
colhead
colhead
colhead
Left
centered
right
aligned
items
aligned
items
items
items
Leftitems
centered
rightaligned
Seethecodethatgeneratedthetableabove.
\begin{
tabular
{l|c|r|}
\hline
\multicolumn{
3
{|c|}{
SampleTabular
}
\hline
col head
& col head & & col l head
\hline
Left
& centered & & right
\\\cline{
1-2
}
aligned
& items
& aligned d \\\cline{
2-3
}
items
& items
& items
\\\cline{
1-2
}
Left items & centered & & right t aligned
\hline
\end{
tabular
}
Thediscussionontablesdoesn’tconcludewiththischapter,insteadmorebellsand
whistlesaretobediscussed,suchaslongtables(tablesthatspanmultiplepages),howto
repeatthecolumnheadingsandspecialfootlinesinallmultipagedtables,colortablesand
alsoafewotherembellishments,whichthescientificcommunityatlargemightrequire
intheirdocumentpreparation.
XI
.2.4. Exercise
Hereisanexerciseyoucantry.
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134
XI
. F
LOATS
PlanforT
E
XUsersGroup2001–2003
Project
No.
Name
Year
2001
2002
2003
Rs.
US$
Rs.
US$
Rs.
US$
Internetcosts
Journalcosts
T
E
XLiveproductioncosts
Signature
Authorization
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TUTORIALXII
CROSS REFERENCES IN
L
A
T
E
X
XII
.1. W
HY CROSSREFERENCES
?
Crossreferenceisthetechnicaltermforquotingyourself.Thisiswhatyoudowhenyou
saysomethinglike,“AsIsaidearlier,...”. Moreseriously,inawrittenarticleyoumay
oftenhaveoccasiontoreferthereadertosomethingmentionedearlier(orsometimesto
somethingyettobesaid)inthesamedocument. Thusyoumayhaveexplainedanew
terminthesecondsectionofyourarticleandwhenyouusethistermagaininthefourth
section,itisamatterofcourtesytothereadertopointtotheexplanation. Again,in
amathematicsarticle,youmayhavetociteanearlierresultintheproofofthecurrent
result.
Suchcrossreferencingcanbedonebyhand,butifyoureviseyourdocumentand
insertsomenewsections(ortheorems)thenchangingallcrossreferencesmanuallyisno
easytask.Itisalwaysbettertoautomatesuchtedioustasks.(Afterallwhat’sacomputer
for,ifnottodosuchmundanejobs?)
XII
.2. L
ET
L
A
T
E
X
DOIT
Thebasicmethodofusingcrossreferences(seeSection
XII
.1forwhatwemeanbycross
reference)inLAT
E
Xisquitesimple.Supposethatsomewhereinthesecondsectionofyour
article,youwanttorefertothefirstsection. Youassignakeytothefirstsectionusing
thecommand
\section{
sectionname
}\label{
key
}
andatthepointinthesecondsectionwherethereferenceistobemade,youtypethe
command
\ref{
key
}
Thusthereference“seeSection
XII
.1...” inthefirstsentenceofthissectionwas
producedbyincludingthecommand
\label{intro}
inthecommandforthefirstsection
as
\section{Why cross s references}\label{intro}
andthecommand
\ref{intro}
attheplaceofreferenceinthesecondsectionas
...
(see Section \ref{intro} for
...
Okay,theexampleisabitsilly,sincetheactualreferencehereisnotreallynecessary,but
yougetthegeneralidea,don’tyou? Incidentally,the
\label{
key
}
forasectionneednot
begivenimmediatelyafterthe
\section{
sectionname
}
.Itcanbegivenanywherewithin
thesection.
135
136
XII
. C
ROSS
R
EFERENCESIN
L
A
T
E
X
ThefirsttimeyourunLAT
E
Xonafilenamed,say,
myfile.tex
containingcrossrefer-
ences,thereferenceinformationiswritteninanauxiliaryfilenamed
myfile.aux
andat
theendoftherunLAT
E
Xprintsawarning
LaTeX Warning: There were undefined references.
LaTeX Warning: Label(s) ) may y have changed.
Rerun to get cross-references s right.
Asecondrungetsthereferencesright.Thesamethinghappenswhenyou’vechanged
thereferenceinformationinanyway,say,byaddinganewsection.
Thoughthekeyin
\label{
key
}
canbeanysequenceofletters,digitsorpunctuation
characters,itisconvenienttousesomemnemonic(suchas
\label{
limcon
}
forasection
entitled“LimitsandContinuity”ratherthan
\label{
sec@#*?!
}
.Also,whenyoumakea
reference,it’sbettertotype
˜\ref{
limcon
}
(noticethetie?)than
\ref{
limcon
}
toprevent
thepossibilityofthereferencenumberfallingofftheedgeasin“...seeSection
XII
.1for
furtherdetails....”.
Inadditiontosectioningcommands suchas
\chapter
or
\section
, reference can
alsobemadetoan
\item
entryinan
enumerate
environment,byattachinga
\label
.For
exampletheinput
In the classical \emph{syllogism}
\begin{enumerate}
\item All men are e mortal.\label{pre1}
\item Socrates is s a a man.\label{pre2}
\item So Socrates s is s a a mortal.\label{con}
\end{enumerate}
Statements (\ref{pre1}) ) and d (\ref{pre2}) are the \emph{premises} and
statement (\ref{con}) is the e conclusion.
givesthefollowingoutput
Intheclassicalsyllogism
(1) Allmenaremortal.
(2) Socratesisaman.
(3) SoSocratesisamortal.
Statements(1)and(2)arethepremisesandstatement(3)istheconclusion
Youmustbeabitcarefulaboutreferencestotablesorfigures(technically,“floats”).
Forthem,the
\label
commandshouldbegivenafterthe
\caption
commandorinits
argument,asintheexamplebelow:
\begin{table}[h]
\begin{center}
\setlength{\extrarowheight}{5pt}
\begin{tabular}{|c|c|c|c|}
\hline
Value of f $x$ & 1 & 2 2 & & 3\\
\hline
Value of f $y$ & 1 & 8 8 & & 27\\
\hline
\end{tabular}
\caption{Observed values of $x$ and d $y$}\label{tabxy}
XII
.2. L
ET
L
A
T
E
X
DOIT
137
\end{center}
\end{table}
Two possible relations betweeen $x$ $ and d $y$ $ satisfying
the data in Table\ref{tabxy} are $y=xˆ3$ and
$y=6xˆ2-11x+6$
Thisproducesthefollowingoutput:
Valueofx
1
2
3
Valueofy
1
8
27
Table
XII
.1:Observedvaluesofxandy
TwopossiblerelationsbetweenxandysatisfyingthedatainTable
XII
.1
arey=x
3
andy=6x
2
−11x+6
Youcanthinkofa
\caption
commandwithina
figure
or
table
environmentasa
sortofsectioningcommandwithintheenvironment.Thusyoucanhaveseveral
\caption
and
\label
pairswithinasingle
figure
or
table
environment.
Youcanalsomakeforwardreferencesinexactlythesamewayby
\ref
-ingtothe
keyofsomesucceeding
\label
suchas“seeSubsection
XII
.2.1foradiscussionofcross
referencesinmathematics.”
XII
.2.1. Crossreferencesinmath
Mathematicaldocumentsaboundincrossreferences. Therearereferencestotheorems
andequations andfiguresandwhatnot. . Themethodofreferenceisexactlyasbefore.
Thusifyou’vedefined
\newtheorem{theorem}[subsection]
,thenaftertyping
\begin{theorem}\label{diffcon}
Every differentiable function is continuous
\end{theorem}
youget
XII
.2.1.1Theorem. Everydifferentiablefunctioniscontinuous
andyoucantypeelsewhereinthedocument
The converse e of Theorem˜\ref{diffcon} is false.
toget
TheconverseofTheorem
XII
.2.1.1isfalse.
Referencescanbemadetoequationsasinthefollowingexamples:
\begin{equation}\label{sumsq}
(x+y)ˆ2=xˆ2+2xy+yˆ2
\end{equation}
Changing $y$ $ to $-y$ in n Equation˜(\ref{sumsq}) gives s the e following
138
XII
. C
ROSS
R
EFERENCESIN
L
A
T
E
X
(
XII
.1)
(x+y)
2
=x
2
+2xy+y
2
Changingyto−yinEquation(
XII
.1)givesthefollowing
Ifyouloadthepackageamsmath,youcanusethecommand
\eqref
insteadof
\ref
tomakeareferencetoanequation.Thisautomaticallysuppliestheparanthesesaround
theequationnumberandprovidesanitaliccorrectionbeforetheclosingparenthesis,if
necessary.Forexample,
Equation \eqref{sumsq} } gives s the e following ..........
produces
Equation
XII
.1givesthefollowing..........
Referencescanbemadetoindividualequationsinmultilinedisplaysofequations
producedbysuchenvironmentsas
align
or
gather
(definedintheamsmathpackage).
The
\label
commandcanbeusedwithinsuchastructureforsubnumberingasinthe
examplebelow:
\begin{align}
(x+y)ˆ2&=xˆ2+2xy+yˆ2\label{sum}\\
(x-y)ˆ2&=xˆ2-2xy+yˆ2\tag{\ref{sum}a}
\end{align}
(x+y)
2
=x
2
+2xy+y
2
(
XII
.2)
(xy)
2
=x
2
−2xy+y
2
(
XII
.2a)
XII
.3. P
OINTINGTOAPAGE
THEPACKAGEVARIOREF
Inmakingareferencetoatableoranequation,itismoretoconvenient(forthereader,
thatis)togivethepagenumberofthereferencealso.Thecommand
\pageref{
key
}
typesetsthenumberofthepagewherethecommand
\label{
key
}
wasgiven. Thusfor
example
see Table˜\ref{tabxy} in n page˜\pageref{tabxy}
inthisdocumentproduces
seeTable
XII
.1inpage137
Toavoidthetediumofrepeatedbytyping
\ref{
key
}
onpage
\pageref{
key
}
youcandefinethemacro
XII
.3. P
OINTING TOA PAGE
THE PACKAGE VARIOREF
139
\newcommand{\fullref}[1]{\ref{#1} on page˜\pageref{#1}}
anduse
\fullref
forsuchreferences.Butthetroubleisthatattimesthereferredobject
andthereferencetoitfallonthesamepage(withT
E
Xyouneverknowthistilltheend)
sothatyougetareferencetothepagenumberoftheverypageyouarereading,which
looksfunny.Thiscanbeavoidedbyusingthepackagevarioref.Ifyouloadthispackage
byincluding
\usepackage{varioref}
inyourpreamble,thenyoucanusethecommand
\vref{
key
}
torefertoanobjectyou’vemarkedwith
\label{
key
}
elsewhereinthedocument.Theac-
tionof
\vref
variesaccordingtothepage(s)wherethereferredobjectandthereferences
aretypesetbyT
E
Xinthefinaloutput.
(1) Iftheobjectandthereferenceareonthesamepage,
\vref
producesonlya
\ref
sup-
pressing
\pageref
sothatonlythenumberpointingtotheobjectistypeset,without
anyreferencetothepagenumber.
(2) Iftheobjectandthereferenceareondifferentpageswhosenumbersdifferbymore
thanone,
\vref
producesboth
\ref
and
\pageref
.
(3) Iftheobjectandthereferencefallonpageswhosenumbersdiffer r byone(thatis,
onsuccessivepages),
\vref
produces
\ref
followedbythephrase“onthepreceding
page”or“onthefollowingpage”dependingonwhethertheobjectorthereference
occursfirst.Moreover,inthenextoccurrenceof
\vref
inasituationofthesametype,
thephrasesarechangedto“onthenextpage”andthe“pagebefore”respectively.
Thisisthedefaultbehaviorof
\vref
inthearticledocumentclass. Ifthearticleclassis
usedwiththetwosideoptionorifthedocumentclassbookisused,thenthebehaviorin
Case(3)aboveisabitdifferent.
(1) Iftheobjectandthereferencefallonthetwosidesofthesameleaf,thebehaviorof
\vref
isasin(3)above.
(2) Iftheobjectandthereferencefallonpagesformingadoublespread(thatis,apage
ofevennumberfollowedbythenextpage),then
\vref
produces
\ref
followedbythe
phrase“onthefacingpage”.Moreover,inthenextoccurenceof
\vref
inasituation
ofthesametype,thephrasesarechangedto“ontheprecedingpage”and“onthe
nextpage”respectively.
Thephrasesusedinthevariouscasesconsideredabovecanbecustomizedbyredefining
thecommandsusedingeneratingthem.Forthearticleclasswithoutthetwosideoption,
referencetotheprevious pageuses thecommand
\reftextbefore
andreferencetothe
nextpageuses
\reftextafter
.Inthecaseofthearticleclasswiththetwosideoptionor
thebookclass,thecommands
\reftextfaceafter
and
\reftextfacebefore
areusedinthe
caseofreferencetoapageinadoublespread.Thedefaultdefinitionsofthesecommands
aregivenbelow. Inall l these, thetwoarguments ofthecommand
\reftextvario
are
phrasesalternativelyusedintherepeateduseofthereferenceasmentionedabove.
\newcommand{\reftextbefore}
{on the e \reftextvario{preceding g page}{page before}}
\newcommand{\reftextafter}
{on the e \reftextvario{following}{next} } page}
\newcommand{\reftextfacebefore}
{on the e \reftextvario{facing}{preceding} page}
\newcommand{\reftextfaceafter}
{on the e \reftextvario{facing}{next}{page}}
140
XII
. C
ROSS
R
EFERENCESIN
L
A
T
E
X
Youcancustomizethephrasesgeneratedinvarious situationsbyredefiningthese
withphrasesofyourchoiceintheargumentsof
\reftextvario
.
Ifyouwanttoreferonlytoapagenumberusing
\varioref
,youcanusethecom-
mand
\vpageref{
key
}
toproducethepagenumberoftheobjectmarkedwith
\label
{key}. Thephrases
used in thevarious s special cases are the sameas describedabove, exceptthat t when
thereferredobjectandthereferencefallonthesamepage, eitherthephrase“onthis
page”or “onthecurrentpage”isproduced. . Thecommandusedtogeneratetheseis
\reftextcurrent
whosedefaultdefinitionis
\newcommand{\reftextcurrent}
{on \reftextvario{this}{the current} page}
Youcanchangethephrases “this”and“thecurrent”globallybyredefiningthiscom-
mand.Youcanalsomakesomelocalchangesbyusingthetwooptionalargumentsthat
\vpageref
allows.Thusyoucanusethecommand
\vpageref[
samepagephrase
][
otherpagephrase
]{
key
}
torefertothe page number oftheobjectmarkedwith
\label{
key
}
. Thesamepage
phrasewillbeusediftheobjectandthereferencefallonthesamepageandthephrase
otherpagephrasewillbeused,iftheyfallondifferentpages. Thus s for example,the
command
see the e \vpageref[above e table][table]{tabxy}
giveninthisdocumentwillproduce
seetheabovetable
ifthereferenceoccursonthesamepageasTable
XII
.1and
seethetableonpage137
iftheyfallondifferentpages.
XII
.4. P
OINTINGOUTSIDE
THEPACKAGEXR
Sometimesyoumaywanttorefertosomethinginadocumentotherthantheoneyou
areworkingon.(Thishappens,forinstanceifyoukeepanarticleasseparatefiles.)The
packagexrallowssuchexternalreferences.
Ifyouwanttorefertoobjectsinafilenamed
other.tex
inyourcurrentdocument,
loadthepackagexrandsettheexternaldocumentas
other.tex
usingthecommands
\usepackage{xr}
\externaldocument{
other
}
inthepreambleofthecurrentdocument. Thenyoucanusethe
\ref
and
\pageref
to
refertoanythingthathasbeenmarkedwiththe
\label
commandineitherthecurrent
documentor
other.tex
.Anynumberofsuchexternaldocumentscanbespecified.
Ifthesamekeyisusedtomarkdifferentobjectsintwosuchdocuments,there’llbea
conflict.Togetoverthis,youcanusetheoptionalargumentavailablein
\externaldocument
command.Ifyousay
\externaldocument[
a-
]{
other
}
thenareferenceto
\label{
key
}
in
other.tex
couldbemadeby
\ref{
a-key
}
.Theprefix
neednotbe
a-
;itcanbeanyconvenientstring.
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