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Page 1 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.htmlLaTeX Math Symbols
The following tables are extracted from The Not So Short Introduction to LaTeX2e, aka. LaTeX2e in 90 minutes, by Tobias Oetiker, Hubert
Partl, Irene Hyna, and Elisabeth Schlegl. It can be located here.3/29/17, 10*20 AMLaTeX Math Symbols
Page 2 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.html3/29/17, 10*20 AMLaTeX Math Symbols
Page 3 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.html3/29/17, 10*20 AMLaTeX Math Symbols
Page 4 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.html3/29/17, 10*20 AMLaTeX Math Symbols
Page 5 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.html3/29/17, 10*20 AMLaTeX Math Symbols
Page 6 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.html3/29/17, 10*20 AMLaTeX Math Symbols
Page 7 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.html3/29/17, 10*20 AMLaTeX Math Symbols
Page 8 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.html3/29/17, 10*20 AMLaTeX Math Symbols
Page 9 of 9http://www.math.ubc.ca/~cautis/tools/latexmath.htmlLast modified: Wed May 31 14:04:55 CDT 2000
X Y -picUser'sGuideKristo!erH.R ose !krisrose@ens-lyon.fr"
Version3.7,February 16,1999
Abstract
X Y -picisapack agefort ypesetting graphsanddiagrams usingKnuth's T EXtyp esettingsystem.X
Y -picworkswith mostofthe manyformats available; e.g.,plainT E X, L A T EX,andA
M S-T EX.Severalstyles ofinputforvarious
diagramtyp esaresupported;theyallshareamnemonic notationbasedon thelogicalcomposition ofvisualcom- ponents.Thisguide concentrateson howto typeset "matrix-like"diagrams,suchascomm utativediagrams, inthefollo wingstyle: U y x (x,y)##X!ZY q p%% X f Yg Z wastypesetb ytheX Y -picinputlines \xymatrix{U\ar@/_/[ddr]_y\ar@/^/[drr]^x
\ar@{.>}[dr]|-{(x,y)}\\ &X\times_Z Y\ar[d]^q\ar[r]_p &X\ar[d]_f \\ &Y\ar[r]^g &Z}Suchdiagramshave thefollo wingcharacteristics:
•Specifiedasamatrixof entriesthat areautomati- callyalignedin rowsand columns. •Anyentrymaybe connectedtoanyother en- tryusinga variety ofarro wstylesallrotatedand stretchedasrequired. •Arrowsmaybedecoratedwith labelsthataretied toasp ecifiedpoin talongthearrow andextendin aparticulardirection; andarrows may bepaired, cross,andvisit/b endaroundother entries"onthe way." Severalotherstylesof inputare supported;ashortsurvey ofthep ossibilitiesisincluded lastattheendalong with informationonho wX Y -piccanbeobtained.Contents
Preface2
1Basics 2
1.1Loading. ... .. ... ... ... ..2
1.2Entrie s........ ... ... .. ..2
1.3Arrows ...... ... ... ... .. .2
1.4Labe ls........ ... ... .. ..3
1.5Bre aks........ ... ... .. ..3
1.6Curving. ... ... ... ... .. ..4
1.7Spe edinguptypesetting.. ... ...4
2MoreA rrowsand Labels4
2.1Explicit labelpos itioning.......4
2.2Labe lingwithanyobject ... .....5
2.3Morearro wst yles.... ........5
2.4Slidingarro wsside ways.. ......6
2.5Moretarge ts.. ..... ... ... .6
2.6Changingthe target. ... ...... 7
2.7Arrows passingunder ......... 7
2.8Moreb endingarro ws....... ...8
2.9Defining newarrowtyp es.... ...8
3MoreEn tries9
3.1Manual entryformatting ........9
3.2Extrae ntries outsidethematrix...9
3.3Spacing androtation... ... ... .9
3.4Entry style.. ......... ... .10
3.5Naming forlateruse astargets ....10
3.6Groupingob jec ts........... .10
4Av ailabilityandFurtherInformation11
4.1Getting X
Y -pic.. ... .. ... ... .114.2Bac kwardscompatibility..... ...11
4.3Furthe rreading...... ...... .12
4.4Credits ..... ... ... ... ... .13
AAnsw erstoallexercises13
References14
Index15
Laboratoiredel'InformatiqueduP arall´elisme, EcoleNormaleSup ´erieure deLyon;46,All´eed'Italie;F-69364Lyon7, France.
1Preface
Thisguidee xplainssom efeaturesof X
Y -picthatare relevanttotypesettingof"matrix-lik ediagrams "as usedin,forexample, cate gorytheory; pleasereferto therefe rencemanual[8]forcompleteinformationon thedes cribedconstructions.Theguideassumesthat youhaves omeexperiencein usingT EXfort ypes et-
tingmathe matics,e.g.,hav estudied[2,ch.16-19], [3, sec.3.3],or[9],andthatX Y -picisins talledon your T EXsys temasdescribedinthe INSTALLfileacc om-
panyingthedistribution.Thefirst sectiondes cribeswhatyouneedto get
started,inparticularallthatis neede dtotypes et thediagramin theabstrac t.Se ction2 and3explain advanceduseofarrowsande ntries,res pec tively.Fi- nally,section 4explainswhereandunderwhatcondi- tionsX Y -picisa vailable, givestherelationofversion3.7topre viousve rsions,andlis tsfurthersourcesof
information.Throughoutwe giveexerc isesthatyou shouldbe
abletos olveas yougoalong;allexerc ises arean- sweredattheendjustpriortothere ferenc esand index.1Basics
Thisse ctionexplainstheX
Y -diagramcons truction conceptsneededtoget startedwithtypesetting matrix-likediagrams.1.1Loading
TheX Y -picse tupusedinthisguideis loadedbyin- sertingthelines \inputxy \xyoption{all} inthede finitionspartof yourdocume nt.1Ifyou wish
toloadonly thefeature syou use, oryouwishtouse non-standardfacilitieslik ethev2backwardscompat- ibilitymode 2 orthepsPostScript 3 backendthen thisisals opos sibleasdes cribedinthereferencem an- ual[8].1.2Entries
Adiagramis create db ythecommand
\xymatrix{...}wherethe"... "should bereplacedbyentriestobe alignedinrowsandcolumnswhere •entriesinarowarese paratedb y&, 4 and •entirerowsareseparate dby\\.Forexample,
A m i=n i 2 D wastypes etby \xymatrix{A&*+[F]{\sum_{i=n}^m{i^2}} \\
&{\bullet}& D\ar[ul]}Noticethefollowing:
•entriesaretypeset asmathe matics(using"text style");entriesshouldnots tartwithamacro (asillustrate dbytheuseof{}around\bullet. •allen triesarecenteredandthe separation be- tweenrowsandcolumnsisusuallyquite large inadiagram , •emptyentriesatthee ndofrowsmaybeomit- ted, •"X Y -decorations"(here\ar[ul])ine ntries al- lowdrawingofarro wsandsuch relative tothe entrieswithoutchangingtheove ralllay out,and •"X Y -modifiers"(here*+[F])first inentriesal- lowchangingtheform atandshape inman y ways.1.3Arrows
An"arrow" inanX
Y -picdiagramis agene ricte rm forthedra wndec orationsbetw eentheentriesof the basicmatrixstruc ture.InX Y -picallarro wsmus tbe specifiedalongwiththeentryinwhichthey start;this iscalle dtheirbaseentry.Each particulararrowcom - mandthenrefe rsexplicitlytoits targetentry.This isobtained usingthe\arcommandwhichaccepts manyoptionsofwhichwe willde scrib eafewhere andsom emoreinsection2. Initssimples tform an arrowisente red as\ar[hop]wherehopisas equenc e ofsingle letters:uforup,dfordown, lforleft, and rforright, e.g.,thearro w\ar[ur]reads"types etan arrowfromthecurre nt entry tothatoneupandone right." 1 L A T E X2 [3]userscan use\usepackage[all]{xy}. 2Ifyou usetheversion2loading command\inputxypic(orthexypicdocumentstyleoption)thenthe v2optiondescribed in
section4.2will beloaded automatically. 3 PostScriptisaregistered Trademarkof Adobe, Inc.[1]. 4ThuswhenusingX
Y -constructionsinv olving&insideothertabular constructionsthenenclose theX Y -picconstructionin anextra pairofbraces! 2Exercise1:Whichentrydo es[]referto?
Therelativ ecoordinatesspec ifiedinthiswayare
purelylogical,e.g.,ifthe diagramcon tainsv erywide entriesthen"diagonal"arrowswillbe nearlyhorizon- tal.Thec onstructe darrowsarealignedalongtheline betweenthecentersofthebaseandtarget entrie s; theywillnotautomatic allydisapp ear underentries thatthey cross(wedis cusshowthisisac hievedin section2.7).Thearrow stylekan bechangedbywritingthe
commandas\ar@style[hop].Thiswill bede sc ribed inmore detailinsec tion2.3;herewe justlis tthemost common@styles(obvious variationsalsow ork):Exercise2:Typeset
1.4Labels
Youcanputlab elsonarrows .Labe lsareconceptual-
izedassub-andsup ersc riptsonarrowssuc hthat they areplace dintheusualpositions (as"limits "),i.e.,^ reads"above "and_"below"onanarrowpointing right.Noticethatthe positionsdepe ndonlyonthe directionofthearrow,theabs olutenotionsof "up," "down,"etc.are notimportant.Forexam ple, $\xymatrix@1{X\ar[r]^a_b&Y &Z\ar[l]^A_B}$
willse tX a b YZ A B (the@1isas pec ialcode thatcan beused for"one-line"diagrams toimprove theplace mentontheline;moresuchspacingco des aredes cribedinsection3.3).Itisp ossible touselabelsthatarenotsingle let-
ters,digits,orcontrol sequences :ifa simplemath formulainthedefault st yle(sc riptstyle)is desired thensimplye nclosein{...}.Inprac ticean ything canbeuse dasalabe lasdescribedin sec tion2.2.Eachlabelis placedperpendic ulartothe arrowat
thepoin thalfwaybetwe enthecenters ofthebaseand targetobjects .Thisisusuallythemostaesthethic, however,indiagramswherethesizesof theen tries varymuchit issometimesnic erto placethe label atthec ente roftheactualarrow.Thisbehaviouris or_:A#B#C#DBwastypes etby$\xymatrix@1{
A\timesB\timesC\times D\ar[r]^-{+} &B
(itbe comesA#B#C#DBwithoutthe-).
Infact -isinjus toneof themayp ossible placings
oflabe lsdescribedin section2.1. theoryas A f f;g B g g;h C h D1.5Breaks
Itisals opos sibleto"break" anarrowwithalabelus-
willse tAf %%B.Ifyou justwantan emptybre akyoushould
usethespe cial\holebreak:thearrowA %%B wastypes etbyincluding$\xymatrix@1{A\ar[r]|\hole&B }$inthete xt.
Adi erentuseofbreaksisto placealabel some - whereinadiagramouts idethenorm alm atrixme sh: thisisac complis hedby"breaking"aninvisiblearrow obtainedusingthe@{}arrowstyle: thesquare A %%B B%% C wastypes etby \xymatrix{\ar@{}[dr] |{=}A\ar[d]\ar[r] &B\ar[d] \\
B\ar[r]& C}
Thereismoreon breaks insection2.7.
Exercise4:Typesetthefirstaxiomofcategory
theoryasthedispla y A f f B i B g B g C 31.6Curving
Arrowscanbe madetocurve ,forexampleto avoid
goingthroughanothe ren try,usingthe specialstyle @/curving/.Thes imples tstylesofcurvingarethe following,shownapplie dtoanarrowfromAtoB: @/^/A B @/_/A-- B @/_1pc/ A BAsthelas texam pleshowsadim ensioncanbein-
sertedjustafter^or_ifmore orlesscurving isde - sired.Incas eitiseasierto spe cifythe in-andout-going
directionsofthecurvingthen thatisals opos sible: use @(in,out)whereinandoutareoneof thefollowing directions: dl d $$dr r %%ur 00 u 11 ul 22l
Inthisc asethe curvingiscomputeds uchthat the
curvebeginsatthebas eentryintheindirection andends atthetargeten tryfromthe outdirection (thisme ansthat@(d 1 ,d 2 )and@(d 2 ,d 1 )aremirrorquotesdbs_dbs47.pdfusesText_47[PDF] maths pcsi exercices corrigés
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