ser9s quide to ewƒE„iˆ †ersion PFH

t—nu—ry IWWH

gontents IF yverview PF porm—tting pe—tures QF w—them—ti™—l gonstru™tions RF ponts SF ƒym˜ol x—mes TF yther „hings ‰ou yught to unow UF qetting relp eppendixF ƒ—mple fi˜liogr—phy snput —nd yutput

IF yverview

ewƒE„iˆ is — m—™ro p—™k—ge for „iˆD designed to simplify the input of m—thE em—ti™—l m—teri—l —nd form—t the output —™™ording to preset style spe™i™—tionsF elthough ewƒE„iˆ is ™opyright ˜y the emeri™—n w—them—ti™—l ƒo™ietyD its use is not restri™tedD ˜ut is en™our—ged for the prep—r—tion of m—nus™ripts intended for pu˜li™—tion ˜oth in the ƒo™iety9s ˜ooks —nd journ—lsD —nd —lso in other m—them—tE i™—l liter—tureF sn re™ognition of the ™opyrightD the ƒo™iety requests th—t pu˜lished do™uments prep—red with ewƒE„iˆ in™lude —n —™knowledgment of its useF „he suggested forms for —™knowledgments —re given in the se™tion yther „hings ‰ou yught to unowF †ersion PFH of ewƒE„iˆ ™ont—ins numerous minor improvements —nd ˜ug xesD —s well —s some m—jor ™h—nges involving —ddition—l fontsF „his ser9s quide deE s™ri˜es —ll the new —nd ™h—nged fe—tures —nd how to use themF „opi™s —re grouped ˜y typeD —nd then presented in roughly the s—me order —s they —ppe—r in „he toy of „iˆF „his ser9s quide —ssumes th—t you —lre—dy h—ve — ™opy of „he toy of „iˆFst ™ont—ins referen™es to spe™i™ p—ges th—t pro˜—˜ly won9t m—ke sense if you don9t h—ve — ™opyF st —lso —ssumes th—t you will ˜e using the ’preprint styleD4 — set of m—™ros th—t provides fe—tures spe™i™ to the form—tting of — do™umentD su™h —s he—dingsD p—ge num˜ersD —nd the likeF sf you —re pl—nning to use the preprint styleD you will —lso need to h—ve — ™opy of ewƒponts †ersion PFHF „he toy of „iˆ —nd ewƒponts PFH —re —v—il—˜le from the emeri™—n w—them—ti™—l ƒo™iety —nd other distri˜utorsF

„ypeset ˜y ewƒE„iˆ

I P ser9s quide to ewƒE„iˆ †ersion PFH

piles ™omprising the ewƒE„iˆ †ersion PFH p—™k—ge „he following les —re ™ont—ined in the ewƒE„iˆ †ersion PFH p—™k—ge distri˜uted ˜y ewƒX

ewƒ„iˆF„iˆ the ewƒE„iˆ †ersion PFH m—™ros ewƒƒ‰wF„iˆ m—™ros dening the sym˜ols in fonts ms—m —nd ms˜m ewƒ€€„Fƒ„‰ the preprint style for ewƒE„iˆ †ersion PFH ewƒ€€„Fhyg te™hni™—l do™ument—tion for ewƒ€€„Fƒ„‰ ewƒq shiF„iˆ the sour™e le for this ser9s quide ty‰i‚‚F„iˆ err—t— to „he toy of „iˆ prior to ewƒE„iˆ †ersion PFH „he le ewƒ€€„Fhyg is —n —s™ii leD —nd is not intended to ˜e pro™essed with „iˆF „his do™ument—tion le is —rr—nged in the s—me order —s the m—™ro le th—t it des™ri˜esD —nd expl—ins the intent —nd me™h—ni™s of the m—™ros in det—ilF e sep—r—te le @ewƒ„iˆFhygAD do™umenting the le ewƒ„iˆF„iˆD is —v—il—˜le on requestF por instru™tions on inst—lling the ewƒE„iˆ m—™ros —nd preprint styleD see the sep—r—te snst—ll—tion quide provided with the p—™k—geF qener—l des™ription of ™h—nges ewƒE„iˆ PFHD the preprint styleD —nd their te™hni™—l do™ument—tion —re the result of — joint eort ˜egun ˜y wi™h—el ƒpiv—k —nd extended ˜y the gomposition „e™hni™—l ƒupport group of the emeri™—n w—them—ti™—l ƒo™ietyF sn this new version of ewƒE„iˆD the following ™h—nges h—ve ˜een inst—lledX @IA ell known ˜ugs h—ve ˜een elimin—tedF @PA wess—ges identifying the ™urrent versions of ewƒ„iˆF„iˆ —nd ewƒ€€„Fƒ„‰ will ˜e displ—yed on your termin—l s™reen —nd in the log leF @QA ƒome error —nd help mess—ges h—ve ˜een ™h—nged for the s—ke of ™l—rity or to provide more inform—tionF @RA ‚enements h—ve ˜een m—de to ™onserve memory sp—™eF @SA „he gw versions of the gomputer wodern fonts h—ve repl—™ed the ew versionsF @TA ƒupport for —ddition—l fonts h—s ˜een —ddedF @—A ewƒ„iˆF„iˆ provides the me™h—nism for —™™essing the iuler —nd extr— sym˜ol fonts of the ewƒponts ™olle™tionF @˜A „he preprint style —ssumes th—t fonts ms—mD ms˜mD —nd eufm —re inst—lled —nd —v—il—˜leF @UA gh—nges h—ve ˜een m—de to the preprint style to m—ke it ™onform more ™losely to the style of ewƒ pu˜li™—tionsD in p—rti™ul—rD the tourn—l of the emeri™—n w—them—ti™—l ƒo™ietyF @—A ‚unning he—ds —re —utom—ti™Y they ™—n ˜e suppressed if desiredF @˜A eddition—l elements —re re™ognized in ˜oth the top m—tter —nd the ˜ody of — do™umentD —nd the input synt—x h—s ˜een regul—rizedF @™A pootnotes —re now indentedFI @dA „he style of the referen™es h—s ™h—nged ™onsider—˜lyF @VA sn the preprint styleD m—them—ti™sEoriented hyphen—tion ex™eptions h—ve ˜een —ddedF @„hese follow emeri™—nD not fritishD rulesFA

Ivike thisF ser9s quide to ewƒE„iˆ †ersion PFH Q

@WA e new option in the preprint style —llows do™uments to ˜e form—tted —s ™h—pters of — monogr—ph r—ther th—n —s sep—r—te p—persF @IHA pin—llyD some option—l form—tting fe—tures requested ˜y ewƒE„iˆ users h—ve ˜een —dded to the preprint styleF

„his ser9s quide „his ser9s quide h—s ˜een prep—red using ewƒE„iˆ †ersion PFH with the preprint styleF ƒome ™h—nges h—ve ˜een m—deX font —nd dimension settings h—ve ˜een resetD the m—™ros for he—dings h—ve ˜een redened to produ™e — result more suited to do™ument—tionD —nd some —d ho™ m—™ros h—ve ˜een dened to simplify the present—tion of p—rti™ul—r inform—tionF roweverD in gener—lD this do™ument —nd the le from whi™h it w—s produ™ed illustr—te the gener—l —ppe—r—n™e —nd input for — preprint with running he—dsF €rinting the output of „iˆ for this quide requires ewƒponts †ersion PFHF

PF porm—tting pe—tures

porm—tting do™uments prep—red with ewƒE„iˆ is —™™omplished ˜y — ’style leF4 „he fe—tures des™ri˜ed here —re p—rt of the preprint styleF „he preprint style for ewƒE„iˆ †ersion PFH willD unless it is told to use the style of — ’wonogr—phD form—t —n input le in — m—nner suit—˜le for — p—per in — journ—lF nless noted otherwiseD th—t is the style des™ri˜ed ˜elowF

„op m—tter @toyD pF RHA ƒome ™omm—nds —e™t the —ppe—r—n™e of — whole do™umentF ƒu™h ™omm—nds should go —t the top of your input leD right —fter the ’do™umentstyle line —nd ˜efore the ’topm—tter lineF „his —re— will ˜e referred to —s the ’pre—m˜leF4 gomm—nds th—t should ˜e in the pre—m˜le in™lude the existing t—gs ’defineD ’„—gsyn‚ightD et™FD —nd the new options ’xo€—gexum˜ersD ’xo‚unningre—dsD ’wonogr—phD ’p—gewidthD ’p—geheightD ’p—genoD —nd ™omm—nds th—t lo—d fontsF „he pre—m˜le is relev—nt to —ny do™umentD whether p—per or monogr—phF „he synt—x of elements of the top m—tter h—s ˜een ™h—ngedF ell now require ˜oth — ˜eginning —nd —n ending t—gF „he ˜eginning of —n ewƒE„iˆ le should thus look something like thisX

’input —mstex ’do™umentstyle{FFF}

hpre—m˜le ™omm—ndsD su™h —s ’defineD ’p—genoD ’xo‚unningre—dsD ’wonogr—phD ’lo—d˜oldD et™Fi

’topm—tter R ser9s quide to ewƒE„iˆ †ersion PFH V W b ’titleFFF’endtitle b b b b ’—uthorFFF’end—uthor b b b b ’—ffilFFF’end—ffil b b b b ’—ddressFFF’end—ddress b b b b ’em—ilFFF’endem—il b `b ab ’dedi™—toryFFF’enddedi™—tory b ’d—teFFF’endd—te b b b b ’th—nksFFF’endth—nks b b b b ’tr—nsl—torFFF’endtr—nsl—tor b b b b ’keywordsFFF’endkeywords b b b b ’su˜j™l—ssFFF’endsu˜j™l—ss b Xb Yb ’—˜str—™tFFF’end—˜str—™t ’endtopm—tter ’do™ument

sf —ny ’endFFF t—g is omittedD —n error mess—ge will —ppe—r —t ’endtopm—tterDif not ˜eforeF sf the forgotten t—g w—s ’endtitleD ’endkeywordsD or —nother ’endFFF for —n item th—t h—s the ’nofrills optionD the error mess—ge will ˜e ’3 €—r—gr—ph ended ˜efore ’nextd w—s ™ompleteF4 sf you omit ’endtopm—tterD on the other h—ndD none of the topm—tter m—teri—l will print @—s ˜eforeAF por multiEline titlesD —li—tionsD —uthorsD or dedi™—tions @˜—si™—lly everywhere th—t lines —re ™entered individu—lly r—ther th—n ˜eing set in p—r—gr—phsAD line ˜re—ks —re o˜t—ined ˜y using ’’F sn other p—rts of the topm—tterD whi™h —re set in p—r—gr—ph formD line ˜re—ks —re o˜t—ined ˜y ’line˜re—kF „he title will ˜e set in upper™—seF „o turn o the —utom—ti™ upper™—singD use the ’nofrills optionX ’title’nofrillsFFF’endtitleF „he ’overlong option th—t used to ˜e —v—il—˜le for ’titleD ’—uthorD —nd ’he—d h—s ˜een removedD m—inly ˜e™—use pu˜lishers —s — rule would r—ther introdu™e extr— line ˜re—ks th—n —llow text to h—ng over into the m—rginsF ile™troni™ m—il —ddresses ™—n ˜e typed using ’em—ilFFF’endem—ilF ivery ’em—il —ddress must ˜e pre™eded ˜y — regul—r ’—ddressF wultiple ’em—il —dE dresses m—y ˜e usedD ˜ut e—™h ’em—ilFFF’endem—il must ˜e p—ired with the ’—ddress of the s—me —uthorF „he ’em—il —ddress will ˜e printed —t the end of the p—perD —s ’iEm—ilX hnetE—ddressi4D following the —ddress it is p—ired withF sf no pre™eding ’—ddress existsD the eEm—il —ddress will not printF „he ’dedi™—tory is newD to ˜e used for su™h things —s ’hedi™—ted to €rofessor ˆ on the o™™—sion of his eightieth ˜irthd—yF4 e dedi™—tion will —ppe—r in it—li™sD ˜efore the —˜str—™tF nlike ’—ddress —nd ’em—ilD ’th—nks ™—nnot —ppe—r more th—n on™e in the topE m—tterF st is sometimes desir—˜leD howeverD to —™knowledge support sep—r—tely for sep—r—te —uthors of — joint p—perF ƒin™e ’th—nks ™re—tes —n unnum˜ered footnoteD sep—r—te —™knowledgments should ˜e m—de sep—r—te p—r—gr—phs within the footE noteF fut this ˜rings up — spe™i—l pro˜lemX st9s f—irly e—sy to forget the ending } for — ’footnoteD so —n errorEdete™ting me™h—nism ˜uilt into „iˆ looks for the end of — p—r—gr—ph within — footnoteD —nd if it sees oneD —ssumes th—t you9ve forgotten the } —nd issues —n error mess—geF sn order to end — p—r—gr—ph without setting o ser9s quide to ewƒE„iˆ †ersion PFH S

the errorEdete™torD you must use ’endgr—fP inste—d of — ˜l—nk line or ’p—rF sn ™—se — p—per h—s not only —n —uthor ˜ut — tr—nsl—torD ’tr—nsl—tor is providedF „his inform—tion will ˜e printed —t the end of the p—per in eightEpoint rom—nD —s ’„r—nsl—ted ˜y4 followed ˜y the tr—nsl—tor9s n—me in upper™—seF „he inform—tion for ’keywords —nd ’su˜j™l—ss now —ppe—r —s unnum˜ered footnotes —t the foot of the rst p—geD —s in ewƒ journ—lsF @„hey used to —ppe—r —t the end of —n —rti™leFA sn — monogr—ph ™h—pter they will not print —t —llD sin™e they should ˜e h—ndled sep—r—telyD —s p—rt of the front m—tter for the monogr—phF „he —˜str—™t he—dingD ’e˜str—™tF4D now —ppe—rs in ™—ps —nd sm—ll ™—psD in the s—me size @eight pointA —s the —˜str—™t itselfF e simple t—˜le of ™ontents setup is now —v—il—˜leF „—˜les of ™ontents —re typed in the topm—tter —long with everything else @ex™ept for monogr—phs|see the se™tion fook porm—tting ˜elowAD using ’to™FFF’endto™F ’to™ ’spe™i—lhe—dFFF’endspe™i—lhe—d ’he—dFFF’endhe—d ’su˜he—dFFF’endsu˜he—d ’su˜su˜he—dFFF’endsu˜su˜he—d ’endto™ „he synt—x of the p—rts is intention—lly identi™—l to the synt—x used for he—dings within the do™ument @see the se™tions re—dings —nd fook porm—tting ˜elowAD so th—t for those who wish to do so —nd h—ve — ™—p—˜le text editorD the t—˜le of ™ontents ™—n ˜e ™onstru™ted ˜y extr—™ting the relev—nt lines from the m—in textFQ €—ge num˜ers —ren9t usu—lly —ppropri—te for the short t—˜le of ™ontents th—t might —ppe—r in — journ—l —rti™leD ˜ut if desiredD p—ge num˜ers ™—n ˜e entered in — m—nner simil—r to th—t for — monogr—phY see the se™tion fook porm—tting ˜elowF „he h—nging indent—tion within — t—˜le of ™ontents for ’he—d —nd ’su˜he—d is preset to —™™ommod—te num˜ers of the form ’IF4 —nd ’IFIF4 respe™tivelyY the —mount of indent—tion ™—n ˜e —djusted ˜y using ’widestnum˜erX ’to™ ’widestnum˜er’he—d{IH} ’widestnum˜er’su˜he—d{IHFI} FFF „his ™—n ˜e done more th—n on™e within dierent se™tions of the t—˜le of ™ontentsD if desiredF sf the ’se™tion num˜er4 of — ’he—d h—ppens to ˜e something like ’eppendix4 @—s —™tu—lly h—ppens in this ser9s quideAD the input should ˜e modied —s followsX ’he—d {} eppendixF ƒ—mple ˜i˜liogr—phy input FFF’endhe—d snsertion of {} followed ˜y — sp—™e —t the ˜eginning of the he—ding text will ™—use the entire entry to ˜e set ush left —s — unitF sf you —re prep—ring — monogr—phD the form—t —nd ™ontent of the top m—tter will ˜e dierentF ƒee the se™tion ˜elow on fook porm—tting for det—ilsF

P’endgr—f is just —n —˜˜revi—tion for ’end p—r—gr—phF4 Qfut note th—t the origin—l line ˜re—ks in multiEline he—dings would not ˜e —ppropri—te for the t—˜le of ™ontentsD so you9d w—nt to remove —ny ’’9s th—t might ˜e presentF T ser9s quide to ewƒE„iˆ †ersion PFH

re—dings @toyD pF RPA „here —re now four levels of he—dings inste—d of two @not ™ounting ’title9sAD —nd the n—mes h—ve ˜een ™h—nged to h—ve ™onsistent synt—xF „he old form w—s ’he—dingFFF’endhe—ding —nd ’su˜he—ding{FFF}F „he new he—dings —reX ’spe™i—lhe—dFFF’endspe™i—lhe—d ’he—dFFF’endhe—d ’su˜he—dFFF’endsu˜he—d ’su˜su˜he—dFFF’endsu˜su˜he—d „he he—ding of this se™tion w—s typed —s ’he—d PF porm—tting pe—tures ’endhe—d end the su˜he—ding for this su˜se™tion w—s typed —s ’su˜he—d re—dings {’rm @{’it toy}D pF~RPA} ’endsu˜he—d yrdin—rilyD su˜he—dings in the preprint style —re run into the textD ˜ut for this ser9s quideD the style v—ries slightlyF ’spe™i—lhe—d is for long —rti™les th—t need extr— divisions —t — level —˜ove the ’he—d levelF sn the preprint style ’spe™i—lhe—d uses ˜oldf—™e type —nd is set r—gged rightY ’he—d is sm—ll ™—psD ™enteredY ’su˜he—d is ˜oldf—™eD ush leftD run in with the following textY —nd ’su˜su˜he—d is it—li™D indented —s for —n ordin—ry p—r—gr—phD —nd run into the textF ixpli™it line ˜re—ks —re o˜t—ined ˜y — ’’ in — ’he—d or — ’spe™i—lhe—dD ˜ut for ’su˜he—d —nd ’su˜su˜he—dD whi™h —re p—rt of their p—r—gr—phD just use ’line˜re—k —s you would in norm—l p—r—gr—phed textF sf you —re prep—ring — monogr—phD the styles of he—dings will ˜e dierentF ƒee the se™tion ˜elow on fook porm—tting for det—ilsF

„heorems —nd €roofs @toyD ppF RP{RQA sn —™™ord—n™e with the style of the tourn—l of the emeri™—n w—them—ti™—l ƒo™ietyD the l—˜els on ’pro™l—im9s —nd simil—r ™onstru™tions —re now printed in ˜oldf—™e type @’˜fAF roweverD unlike the tourn—l of the emeri™—n w—them—ti™—l ƒo™ietyD the preprint style uses sl—nted type @’slA for the text of — ’pro™l—imD r—ther th—n it—li™F @wost emeri™—n w—them—ti™—l ƒo™iety pu˜li™—tions ™urrently use „imes ‚om—n fontsD for whi™h no sl—nted form w—s designedFA sn —ddition to the usu—l pro™l—m—tions —nd demonstr—tionsD m—them—ti™i—ns m—y pose other kinds of propositionsD whi™h editors m—y prefer to see presented in dierent stylesF „he following h—ve ˜een provided in the preprint styleF ’definitionFFF’enddefinition ’ex—mpleFFF’endex—mple ’rem—rkFFF’endrem—rk sn the preprint style ’definition —nd ’ex—mple h—ve the sp—™ing —nd he—ding font of ’pro™l—imD ˜ut —re in rom—nF ’rem—rk resem˜les ’demo ex™ept th—t extr— sp—™e —dded —t the end of — proof ˜y ’enddemo is not —dded ˜y ’endrem—rkF ser9s quide to ewƒE„iˆ †ersion PFH U

yther hevi™es @toyD ppF RQ{RSA por — list produ™ed ˜y ’rosterD the —mount of indent—tion ™—n ˜e —djusted to —™™ommod—te wide item num˜ersF tust ˜efore ˜eginning the ’rosterD typeD for ex—mpleD ’widestnum˜er’item{@viiiA}F „his —djustment is tempor—ryF „he def—ult will ˜e reinst—ted ˜y ’endrosterF pormerly ’™ite produ™ed the referen™e ™it—tion in ˜oldf—™e typeD within squ—re ˜r—™ketsX ‘PI“Y the ™urrent ewƒ style ret—ins the ˜r—™kets ˜ut uses rom—n type inste—d of ˜oldf—™eX ‘PI“F e new stru™tureD ’˜lo™kFFF’end˜lo™kD h—s ˜een —dded for quot—tionsF st is intended for use in the middle of — p—r—gr—ph to quote —n extr—™t from —nother sour™eF fook porm—tting @new entryD toyD pF IRQA sf you —re prep—ring — monogr—phD sever—l fe—tures —re —v—il—˜le in the preprint style th—t will m—ke your output look like ™h—pters r—ther th—n individu—l p—persF pirst of —llD you must sign—l your intentions ˜y typing ’wonogr—ph in the pre—mE ˜leD right —fter the ’do™umentstyle lineF e typi™—l topm—tter se™tion for — monogr—ph ™h—pter would ˜e typed like thisX ’do™umentstyle{—msppt} ’wonogr—ph ’topm—tter ’title’™h—pter{R} w—trix elge˜r—s’endtitle ’endtopm—tter whi™h produ™es — ™h—pter he—ding th—t looks like thisX

gre€„i‚ s†

we„‚sˆ evqif‚eƒ xoti™e th—t the num˜er is ™onverted —utom—ti™—lly to rom—n numer—ls —nd the word ’gre€„i‚4 is —ddedF por — ™h—pter title th—t needs — dierent sort of tre—tmentD ’nofrills ™—n ˜e usedX ’topm—tter ’title’™h—pter’nofrills{e€€ixhsˆ f} „he €oisson sntegr—l’endtitle ’endtopm—tter „his produ™es

e€€ixhsˆ f

„ri €ysƒƒyx sx„iq‚ev

„he repl—™ement ’™h—pter text will —ppe—r ex—™tly —s typedF pin—llyD for things like — pref—™e or introdu™tion whi™h h—s no pretitle text —t —llD omit the ’™h—pter ™omm—ndX V ser9s quide to ewƒE„iˆ †ersion PFH

’topm—tter ’title €ref—™e’endtitle ’endtopm—tter sn monogr—phsD the t—˜le of ™ontents is usu—lly tre—ted —s — sep—r—te ™h—pterF ƒt—rt ˜y typing the title ’gontents4 —s for — pref—™e or introdu™tionD —nd then use the ’to™FFF’endto™ stru™ture —s the ˜ody of the do™ument @r—ther th—n putting it in the topm—tterD —s you would for — journ—l —rti™leAF ’topm—tter ’title gontents’endtitle ’endtopm—tter

’do™ument ’to™ ’title €ref—™e’p—ge{vii}’endtitle ’title’™h—pter{I} w—trix elge˜r—s’p—ge{I}’endtitle ’he—d gontinuous ™omplexEv—lued fun™tions’p—ge{I}’endhe—d FFF ’title fi˜liogr—phy’p—ge{QHU}’endtitle ’endto™ ’enddo™ument „he ™h—pter titles listed in the t—˜le of ™ontents —re typed in the s—me w—y —s in —™tu—l useF „o get p—ge num˜ers in the t—˜le of ™ontentsD use ’p—ge —s shownD just ˜efore the ending of —n elementF „his option is —v—il—˜le for —ll levels of he—dingsF sn — monogr—ph using the preprint styleD the ™h—pter title is used for the left running he—d —nd the text of se™tion he—dings @from ’he—dA —ppe—rs —s the right running he—dF st9s not un™ommon for the text of — he—ding to ˜e too long to t in the running he—d widthY in su™h — ™—se use ’righthe—dtext to spe™ify — shortened form of the he—ding for use in the running he—dsX ’he—d pourier ™oeffi™ients of ™ontinuous periodi™ fun™tions of ˜ounded entropy norm’endhe—d ’righthe—dtext{pourier ™oeffi™ients of periodi™ fun™tions} „his should follow immedi—tely —fter the ’he—dD to ensure th—t ˜oth t—ke ee™t on the s—me p—geF sf the ™h—pter title is too long to t —s — running he—dD — shortened form ™—n ˜e supplied in — simil—r w—y with ’lefthe—dtext immedi—tely —fter the ’titleF ƒee —lso the se™tion ‚unning re—dsF „he style for — ™h—pter of — monogr—ph diers in some p—rti™ul—rs from the style for — p—perF „he text of — ’he—d will ˜e ˜oldf—™e inste—d of sm—ll ™—psY he—dings of theoremsD propositionsD denitionsD rem—rksD et™F will ˜e sm—ll ™—ps inste—d of ˜oldf—™eD —nd indented r—ther th—n ush leftF snserts with g—ptions @new entryD toyD pF ITVA piguresD t—˜lesD —nd some other kinds of o˜je™ts —re often h—ndled —s insertsF „hese o˜je™ts m—y ˜e prep—red sep—r—tely from the m—in do™ument —nd p—sted inD in whi™h ™—se sp—™e must ˜e left for themF „hese o˜je™ts usu—lly h—ve ™—ptionsY — ™—ption m—y ˜e positioned —˜ove @for — t—˜leA or ˜elow @for — gureAF ser9s quide to ewƒE„iˆ †ersion PFH W

en insert m—y ˜e spe™ied for the top or ’middle4 of — p—geD iFeFD right where the input for the insert o™™urs in the textF „hese —re typed —s ’topinsert —nd ’midinsert respe™tivelyF purthermoreD — ™—ption m—y ˜e pl—™ed —t the top or the ˜ottom of the insertD using the t—gs ’top™—ption —nd ’˜ot™—ption respe™tivelyF „he gener—l stru™ture used to spe™ify —n insert with — ™—ption —t the top isX ’topinsert or ’midinsert ’™—ptionwidth{hdimeni} @option—lA ’top™—ption{h™—ption l—˜eli} hoption—l ™—ption texti ’end™—ption ’vsp—™e{hdimeni} or hoption—l ™ode for the insertion ˜odyi ’endinsert sf — ˜ottom ™—ption w—s desiredD ’top™—ption would ˜e repl—™ed ˜y ’˜ot™—ptionD —nd the ’vsp—™e{hdimeni} option @or the option—l ™ode for the insertion ˜odyA would ˜e moved ˜efore the ’˜ot™—ption m—™roF „he ’vsp—™e{hdimeni} option would ˜e used to le—ve ˜l—nk sp—™e for —n o˜je™t to ˜e p—sted into pl—™eF sf — hdimeni is spe™iedD its v—lue should ˜e the ex—™t height of the o˜je™t to ˜e p—sted inF ixtr— sp—™e —round the o˜je™t —nd the ™—ption —re dependent on the do™ument styleD —nd will ˜e provided —utom—ti™—llyF „he ’™—ptionwidth{hdimeni} option m—y ˜e used to override the def—ult ™—ption width spe™ied ˜y the do™ument styleF „he h™—ption l—˜eli is something like ’pigure I4 or ’„—˜le P—4F ho not type —ny n—l pun™tu—tionY it will ˜e providedF „he ™—ption l—˜el will ˜e set in ™—ps —nd sm—ll ™—psF „he hoption—l ™—ption texti is —ny des™riptive text th—t m—y ˜e desiredF „he preprint style will set this in rom—nF iven if there is no textD the ’end™—ption t—g must ˜e presentF sf you ™hoose to in™lude the „iˆ ™ode for — gureD t—˜leD or other ™—ptioned o˜je™t in the inputD then omit the ’vsp—™e{hdimeni} line —nd type the ™ode —fter the ’end™—ption —nd ˜efore ’endinsertF „he size will ˜e ™—l™ul—ted —utom—ti™—llyD —nd the ™—ption set in the —ppropri—te lo™—tion —˜ove or ˜elow the o˜je™tF ƒometimes — t—˜le is sm—ll enough th—t it is not ne™ess—ry to put it in —n insertF sf the ™—ption is to —ppe—r —˜ove itD input ™—n ˜e typed —s followsX ’top™—ption{h™—ption l—˜eli} hoption—l ™—ption texti ’end™—ption h™ode for the t—˜le ˜odyi „he form of the input would ˜e the following if the ™—ption is to —ppe—r ˜elowX h™ode for the t—˜le ˜odyi ’˜ot™—ption{h™—ption l—˜eli} hoption—l ™—ption texti ’end™—ption „his form of ’insertion4 should ˜e used only for very sm—ll o˜je™tsF IH ser9s quide to ewƒE„iˆ †ersion PFH

€—ge xum˜ers @toyD pF IUVA sf you —re using the preprint styleD p—ge num˜ers will —ppe—r in the running he—dsD —t the outside m—rginD ex™ept for the rst p—geD where the running he—d will ˜e omitted —nd the p—ge num˜er will ˜e ™entered —t the ˜ottom of the p—geF sf you wish to omit p—ge num˜ersD type ’xo€—gexum˜ers —t the ˜eginning of the do™ument @—fter the ’do™umentstyle lineAF „he running he—d text will rem—inY see —lso ‚unning re—dsF sn the previous version of the preprint style you ™ould not get rom—n numer—l p—ge num˜ersD eFgF for — t—˜le of ™ontents or pref—™eF xow you ™—nD using the norm—l „iˆ ™onvention of ’p—geno plus — neg—tive num˜erF

€—ge ƒize @toyD pF IUVA sn the preprint styleD the def—ult p—ge width is QHp™D —nd the def—ult height is RUFSp™F ‰ou ™—n ™h—nge the size of the p—ge ˜y typing ’p—gewidth{hdimeni} ’p—geheight{hdimeni} using suit—˜le hdimenisD where ˜y this not—tion we me—n — v—lid „iˆ dimension —s des™ri˜ed in the himensions se™tion of toyD gh—pter PHD ppF ISR{SSF

ih @toyD pF IVIA sn the preprint styleD ’qed now gives —n open ˜ox –9D sep—r—ted from wh—t pre™edes it ˜y — qu—d of sp—™eF st used to give — solid ˜l—™k ˜oxF

‚unning re—ds @new entryD toyD pF IVQA sf you —re using the preprint styleD running he—ds simil—r to those in toy will —ppe—rD with text in the ™enter —nd p—ge num˜ers to the outsideF @yn the rst p—geD —s usu—lD the running he—d is omittedD —nd the p—ge num˜er is pl—™ed —t the ˜ottomFA sf you do nothing to dene the text of the running he—dsD the —uthor9s n—me will ˜e used on the leftEh—nd —nd the title on the rightEh—nd p—gesF @„his is the style for p—persY for monogr—phsD see ˜elowFA sf you w—nt some other v—luesD s—y — shortened titleD you ™—n redene the text to —ppe—r on leftE —nd rightEh—nd p—ges ˜y typing ’lefthe—dtext{hleft running he—d texti} ’righthe—dtext{hright running he—d texti} „hese instru™tions ™—n —ppe—r —nywhere in the leD ˜ut the most ™ommon pl—™e to use them is immedi—tely —fter — ’title or ’—uthor or ’he—d to override the —utom—ti™ running he—d textF sf ’righthe—dtext or ’lefthe—dtext is spe™ied —˜ove the topm—tterD ’title —nd ’—uthor will not override themF sf you —re doing — monogr—ph r—ther th—n — journ—l —rti™leD —nd use the ’wonogr—ph swit™hD it —e™ts the running he—ds —s followsX „he ™h—pter title —ppe—rs in the leftEh—nd running he—dsD —nd the text of the ™urrent se™tion he—ding @from ’he—dA —ppe—rs in the rightEh—nd running he—dsF sn ™h—pters th—t don9t ™ont—in —ny ’he—d9s|for ex—mpleD — foreword|˜oth the leftE —nd rightEh—nd running he—ds will ™ont—in the ™h—pter titleF ser9s quide to ewƒE„iˆ †ersion PFH II

fy def—ultD running he—ds will ˜e upper™—seF „his is — frill th—t ™—n ˜e turned o @—s it w—s in this quideAD ˜y ’nofrillsD eFgFD ’righthe—dtext’nofrills{„ext of ‚unning re—d} sf for some re—son you don9t w—nt running he—ds —t —llD type ’xo‚unningre—ds —t the ˜eginning of the do™ument @—fter the ’do™umentstyle lineAF ‡hen running he—ds —re omittedD p—ge num˜ers will —ppe—r ™entered —t the ˜ottom of the p—geF @end even those ™—n ˜e turned o using ’xo€—gexum˜ersFA sn — monogr—phD if you don9t w—nt the text from the se™tion ’he—d9s to —ppe—r in the running he—ds you must redene the intern—l ™omm—ndD ’he—dm—rkD th—t is used ˜y ’he—d to set the rightEh—nd running he—dF „o do thisD put the following line in your do™ument leD —fter ’wonogr—ph —nd ˜efore ’topm—tterX ’redefine’he—dm—rk5I{} @where the 5I is —n —rgument num˜er —s expl—ined in toyD pF IPUAF

„—˜les @new entryD toyD pF IVTA „here —re no spe™i—l m—™ros to support the ™re—tion of t—˜les in ewƒE„iˆF „—˜le m—™ro p—™k—ges —re —v—il—˜le from other sour™esF ƒee snserts with g—ptions —˜ove for more inform—tionF eppendix fX fi˜liogr—phies @toyD ppF PRU{RVA „he referen™es se™tion of — p—per ˜egins with ’‚efsF €reviously it w—s not required th—t the end of the referen™es ˜e m—rkedD —nd no ™omm—nd existed to do soF elthough the referen™es ™omprise the l—st se™tion of most p—persD sometimes — survey p—per will h—ve sm—ll ˜i˜liogr—phy se™tions s™—ttered throughoutF ƒin™e ’‚efs swit™hes to eightEpoint type —nd m—kes — few other ™h—nges ˜ehind the s™enesD it is h—rd to reest—˜lish the m—in style unless e—™h su™h referen™e se™tion is ended ™le—nlyF „he referen™es se™tion of — p—per now needs ’end‚efs —t the endF „he referen™es —re set with h—nging indent—tionF „he —mount of indent—tion is preset to —™™ommod—te the most ™ommon ™—seD twoEdigit num˜ersF st ™—n ˜e inE ™re—sed @or de™re—sedA ˜y spe™ifying the widest num˜er or key used in the referen™esF por ex—mpleD ’widestnum˜er’no{WWW} ’widestnum˜er’key{qrw—‚} will in™re—se the indent—tion to —™™ommod—te — threeEdigit num˜er or the key ‘qrw—‚“ respe™tivelyF xote th—t the p—rts of the form—tting th—t depend on the ™urrent journ—l style —re t—ken into —™™ount —utom—ti™—lly @the period —fter — num˜er or the ‘ XXX “ —round — keyD plus the usu—l sp—™eAF ‰ou ™—n —lso spe™ify ’widestnum˜er’no{W} to redu™e the indent—tion from two digits9 worth to oneD if your ˜i˜liogr—phy h—s fewer th—n ten entriesF por letter l—˜els typed using ’key it is no longer ne™ess—ry to type —nything other th—n the letters themselvesF e l—˜el th—t would formerly h—ve ˜een typed ’key‘{’˜f gI}“ is now typed ’key gIF pormerly there were three w—ys of entering —n —uthor n—meX ’˜yD ’m—ny˜yD —nd ’˜ys—meF por ™onse™utive referen™es ˜y the s—me —uthor@sAD you were required to IP ser9s quide to ewƒE„iˆ †ersion PFH

use ’m—ny˜y for the rst oneD —nd ’˜ys—me for the restF xow ’m—ny˜y is o˜soleteD —nd will result in —n error mess—ge if usedF snste—dD ’˜y is used for the rst referen™e ˜y —n —uthorD —nd ’˜ys—meD —s ˜eforeD is used for su˜sequent onesF „he horizont—l line produ™ed ˜y ’˜ys—me formerly v—ried —™™ording to the typeset width of the —uthor9s n—meY now it h—s — xed length of three emsF „here —re four new optionsX ’edD ’edsD ’l—ngD —nd ’tr—nslF „wo v—ri—tions —re provided for entering editor n—mesD —s with ’p—ge —nd ’p—gesD ˜e™—use the note ’edF4 or ’edsF4 is p—rt of the —utom—ti™ form—ttingF ’l—ng is used to indi™—te the origin—l l—ngu—ge for p—pers where ˜i˜liogr—phi™ inform—tion h—s ˜een tr—nsl—ted or there is some other re—son to ˜elieve th—t the origin—l l—ngu—ge ™—nnot ˜e ™orre™tly identied from inform—tion in the referen™eF sn the new version of the preprint style ’nofrills ™—n ˜e used to keep —utom—ti™ pun™tu—tion from —ppe—ringF ’nofrills’˜ookinfo suppresses the ™omm— th—t would norm—lly pre™ede the ’˜ookinfo inform—tionD while ’˜ookinfo’nofrillsFFF suppresses the ™omm— or other pun™tu—tion th—t would norm—lly —ppe—r —t the end of the ’˜ookinfo inform—tionF sn keeping with this ide—D ’fin—linfo now inserts the ending period —utom—ti™—llyF st ™—n ˜e suppressed with ’fin—linfo’nofrillsF eutom—ti™ pun™tu—tion will no longer ˜e —dded if the pertinent eld w—s in™luded ˜ut left ˜l—nkF por inst—n™eD the sequen™e FFF ’˜ook „itle of fook ’˜ookinfo ’pu˜l €u˜lisher x—me FFF would formerly h—ve given —n extr— ™omm— —fter the ˜ook titleF ƒome ex—mples will illustr—te these new t—gsF ƒee the —ppendix for s—mples of input —nd outputF

QF w—them—ti™—l gonstru™tions

‡ide e™™ents in w—th wode @toyD pF IQRA „here —re now wider versions of the ’wideh—t —nd ’widetilde —™™entsY they —ppe—r on lines @SA —nd @TAX @IA 6’h—t xD ’tilde x6 xY” x~ @PA 6’wideh—t xD ’widetilde x6 xY˜ xe @QA 6’wideh—t{xy}D ’widetilde{xy}6 xyY™ xyf @RA 6’wideh—t{xyz}D ’widetilde{xyz}6 xyzYd xyzg @SA 6’wideh—t{xyzu}D ’widetilde{xyzu}6 xyzuY‘ xyzu“ @TA 6’wideh—t{xyzuv}D ’widetilde{xyzuv}6 xyzuvY’ xyzuv” „hese new —™™ents —re in the ms˜m f—milyF sf ms˜m h—s ˜een lo—dedD ’wideh—t —nd ’widetilde will —utom—ti™—lly sele™t these wider versions when requiredY otherwiseD the ™h—r—™ters on line @RA will ˜e the l—rgest —v—il—˜leF sf you —re using the preprint styleD ms˜m is lo—ded —utom—ti™—llyY otherwiseD see the se™tion entitled ponts for instru™tions on lo—ding itF ser9s quide to ewƒE„iˆ †ersion PFH IQ

„—˜s in w—tri™es @toyD ppF IUS{UTA „he t—˜ key ™—n no longer ˜e used to sep—r—te ™olumns of — m—trixF ynly 8 ™—n ˜e used for th—t purposeF „he t—˜ is tre—ted ex—™tly like — sp—™e ˜y ewƒE„iˆD so it is still possi˜le to type — m—trix th—t will look like — m—trix on your s™reenD —s long —s you in™lude —n 8 —long with the sp—™esF ’en—˜let—˜sD ’dis—˜let—˜sD ’in—˜let—˜s —nd ’his—˜let—˜s —re undened in ewƒE„iˆ PFH —nd will result in —n error mess—ge if they o™™ur in your input leF

RF ponts eddition—l fonts for ewƒE„iˆ e num˜er of new fonts h—ve ˜een ™re—ted for use with ewƒE„iˆ PFHD ˜oth gomputer wodern fonts in sizes not previously —v—il—˜le —nd new fonts of —lph—˜ets —nd sym˜ols intended to ˜e used for m—them—ti™—l not—tionF „hese fonts —re in the ™olle™tion ewƒponts †ersion PFHF „hey must ˜e inst—lled on your ™omputer ˜efore you ™—n use ewƒE„iˆ9s preprint style or otherwise refer to themF xote th—t ewƒponts †ersion PFH ™—nnot ˜e used with versions of ewƒE„iˆ e—rlier th—n †ersion PFHD —nd vi™e vers—F ƒever—l of these fonts —re m—de —v—il—˜le —utom—ti™—lly ˜y the preprint style —nd others ™—n ˜e lo—ded on dem—ndF „he fonts —v—il—˜le —nd the ™omm—nds used to lo—d them —re des™ri˜ed ˜elowF ponts lo—ded with the preprint styleF ƒever—l fonts —re lo—ded —utom—ti™—lly for gener—l useF { ™m™s™V is — new size of the gomputer wodern sm—ll ™—ps fontF { ™mexV —nd ™mexU —re new sizes of the gomputer wodern m—th extension fontF ™mexV is used ˜y the preprint style in —˜str—™ts —nd other eightEpoint environmentsY ™mexU is used for —ll su˜E —nd supers™riptsF w—th fonts lo—ded with the preprint styleF { ms—m —nd ms˜m ™ont—in extr— sym˜olsF „he sym˜ols —nd the n—mes th—t will produ™e them —re shown in the se™tion ƒym˜ol x—mes ˜elowF sf you —re not using the preprint styleD e—™h ™—n ˜e lo—ded sep—r—tely ˜y ’lo—dms—m or ’lo—dms˜m —s —ppropri—teF { eufm is the mediumEweight iuler pr—ktur @qerm—nA fontF st ™—n —lso ˜e lo—ded ˜y ’lo—deufm if the preprint style is not ˜eing usedF w—th fonts lo—ded ˜y ’lo—d˜oldF ƒee the se™tions ˜elow on fold gh—r—™ters in w—th wode —nd fold qreek vetters for det—ils on —™™essing p—rti™ul—r ™h—r—™ters in these fontsF { ™mmi˜ is gomputer wodern ˜old m—th it—li™F st —lso ™ont—ins ˜old qreekF { ™m˜sy ™ont—ins gomputer wodern ˜old m—th sym˜olsF eddition—l iuler fontsD for use in m—thF { euf˜D ’lo—deuf˜D is ˜old pr—kturF IR ser9s quide to ewƒE„iˆ †ersion PFH

{ eusmD ’lo—deusmD is mediumEweight s™riptF { eus˜D ’lo—deus˜D is ˜old s™riptF { eurmD ’lo—deurmD is mediumEweight ’™ursive rom—nF4 { eur˜D ’lo—deur˜D is ˜old ’™ursive rom—nF4 gonsider—tions —nd w—rningsF „he ™omm—nds to lo—d these font les should ˜e typed in the pre—m˜le —re— ˜etween the ’do™umentstyle{FFF} line —nd the ’topm—tterF yn™e —ny of these les is lo—dedD it will ˜e —v—il—˜le —utom—ti™—lly for use in m—th modeF „iˆ ™—n —™™ommod—te only sixteen font f—milies in m—th modeY seven —re —lre—dy dened ˜efore ewƒE„iˆ ˜eginsD —nd the preprint style lo—ds three moreD for — tot—l of tenF por this re—sonD you should lo—d —ddition—l fonts with ™—reD requesting only those you know for ™ert—in you will needF ell the fonts des™ri˜ed hereD —nd some others —s wellD —re in™luded in the ™olle™tion ewƒponts †ersion PFHD whi™h is —v—il—˜le from the ewƒ —nd other distri˜utorsF „he m—th fonts mentioned here —re —ll supplied in sizes from ve through ten pointD suit—˜le for use in m—them—ti™—l textF fold gh—r—™ters in w—th wode @toyD ppF ITH{TPA fold letters —re still o˜t—ined ˜y ’˜old —s des™ri˜ed in toyF sn —dditionD ˜old sym˜olsD it—li™D —nd lower™—se qreek ™—n now ˜e o˜t—ined on™e ’lo—d˜old —ppe—rs in the leF „wo ™ontrol sequen™es —re used for dierent kinds of ˜old sym˜olsX ’˜oldkey for sym˜ols th—t —™tu—lly —ppe—r on the key˜o—rd ’˜oldsym˜ol for sym˜ols spe™ied ˜y — single ™ontrol sequen™e por ex—mpleD 6’˜old x ’˜oldsym˜ol’in ’˜oldsym˜ol’v—rq—mm—6 gives x P ‘—nd 6’˜oldsym˜ol’l˜r—™k — ’˜oldsym˜ol’r˜r—™k6 gives ‘—“D if you need to use ’l˜r—™k —nd ’r˜r—™k inste—d of the ‘ —nd “ keys“F wore pre™iselyD ’˜oldkey ™—n ˜e used in m—th formul—s in the following ™om˜iE n—tionsX  ‡ith —ny of the sym˜ols C a `b @A‘“j a  XY XY 3c to give C a `b @A‘“j a  XY XY 3c fut ’˜old ™—nnot ˜e used to get ˜old versions of these sym˜olsF 6’˜oldC6 will give only the ordin—ry CD et™F „he ˜old C —nd will ˜e ˜in—ry oper—torsD like the ordin—ry C —nd sym˜olsY the ˜old a will ˜e — ˜in—ry rel—tionD like the ordin—ry aD et™F  ‡ith lettersX 6’˜oldkey —6D FFFD 6’˜oldkey z6 —YXXXYz ser9s quide to ewƒE„iˆ †ersion PFH IS

6’˜oldkey e6D FFFD 6’˜oldkey 6 eYXXXY

xoti™e th—t these —re ˜old m—th it—li™ lettersD —s opposed to the ˜old text letters —YXXXYzD eYXXXY th—t you get ˜y using ’˜old in m—th modeF  ‡ith num˜ersX

6’˜oldkey H6D FFFD 6’˜oldkey W6 HYXXXYW

roweverD these ™om˜in—tions simply give the s—me numer—ls th—t you get with 6’˜oldH6D XXX D 6’˜oldW6F

„he ’˜oldsym˜ol ™onstru™tion ™—n ˜e used in —ny of the following ™om˜in—tionsX  ‡ith upper™—se —nd lower™—se qreek letters

6’˜oldsym˜ol’q—mm—6D FFFD 6’˜oldsym˜ol’ymeg—6 D XXX D  6’˜oldsym˜ol’v—rq—mm—6D FFFD 6’˜oldsym˜ol’v—rymeg—6 D XXX D  6’˜oldsym˜ol’—lph—6D FFFD 6’˜oldsym˜ol’omeg—6 D XXX D 3

sn previous versions of ewƒE„iˆD ˜old unsl—nted upper™—se qreek letters D XXX D  were spe™ied ˜y ’˜oldq—mm—D XXX D ’˜oldymeg—Y these ™ontrol sequen™es h—ve now dis—ppe—redF  por ™onvenien™eD ’˜oldsym˜ol m—y —lso ˜e followed ˜y — letter @˜ut not ˜y — num˜er or other ™h—r—™terAD giving the s—me result —s ’˜oldkeyF  ‰ou ™—n —lso —pply ’˜oldsym˜ol to —ll the other st—nd—rd sym˜ols th—t —re spe™ied ˜y single ™ontrol sequen™esF por ex—mpleD to get ˜old primesX

6’˜oldsym˜ol’prime6 H 6’˜oldsym˜ol e”{’˜oldsym˜ol’prime}6 eH

@fut ’˜oldsym˜ol9D using the shorth—nd not—tion for ’primeD won9t workFA  ‰ou ™—n —pply ’˜oldsym˜ol to ’delimitersD4 su™h —s

6’˜oldsym˜ol’{ FFF ’˜oldsym˜ol’}6 fXXXg 6’˜oldsym˜ol’l—ngle FFF ’˜oldsym˜ol’r—ngle6 hXXXi 6|D ’˜oldkey|D ’|D ’˜oldsym˜ol’|6 jY jY kY k 6’vertD ’˜oldsym˜ol’vertD ’†ertD ’˜oldsym˜ol’†ert6 jY jY kY k

roweverD you ™—n9t use ’˜oldsym˜ol —fter ’left —nd ’rightF sn p—rti™ul—rD typing ’left’˜oldsym˜ol| FFF ’right’˜oldsym˜ol| will produ™e only erE ror mess—gesF  gert—in sym˜ols on the ˜old fonts ™—n9t ˜e —™™essed —t —ll vi— ’˜oldkey or ’˜oldsym˜olX „hese in™lude ˜old versions eD XXX D  of the ’™—lligr—phi™ letters4 eD XXX D  th—t you type —s ’g—l eD XXX D ’g—l D —nd ˜old versions HD XXX D W of the oldstyle num˜ers HD XXX D W th—t you get with ’oldnosFsf you re—lly need to h—ve these sym˜olsD you will h—ve to enlist the —id of — „iˆni™i—nD or use ’pm˜F IT ser9s quide to ewƒE„iˆ †ersion PFH pr—ktur pont @toyD pF ITPA „he qerm—n pr—ktur fontD whi™h is dened only in m—th modeD ™—n ˜e m—de —v—il—˜le ˜y typing ’lo—deufm —t the top of your p—perD ˜efore ’do™umentstyleF sf you —re using the preprint styleD mediumEweight pr—ktur is lo—ded —utom—ti™—llyF „o produ™e — pr—ktur letterD type 6’fr—k g6 g 6’fr—k e6D FFFD 6’fr—k 6 eD XXX D  fl—™k˜o—rd fold @toyD pF ITPA ewƒE„iˆ now h—s — ’˜l—™k˜o—rd ˜old4 fontD ’f˜˜F vike ’g—lD it will work only in m—th modeD —nd only when —pplied to upper™—se lettersF „his —lph—˜et is p—rt of the ms˜m fontD —nd ™—n ˜e m—de —v—il—˜le ˜y typing ’lo—dms˜m —t the top of your leF @st is lo—ded —utom—ti™—lly with the preprint styleFA 6’f˜˜ eD ’f˜˜ gD ’f˜˜ ‚6D et™F eY gY ‚D et™F

€oor w—n9s fold @toyD pF IVIA ewƒE„iˆ now h—s ˜oldf—™e versions of most m—th sym˜olsF roweverD if you need only one or two ˜old sym˜ols —nd h—ve run out of „iˆ ™—p—™ity for new fonts or font f—miliesD you ™—n —lw—ys get — poor m—n9s ˜old version of ˜old with ’pm˜D —s des™ri˜ed in toyF fold qreek vetters @toyD pF PSSA fold qreek lettersD ˜oth lower™—se —nd upper™—seD ™—n ˜e o˜t—ined ˜y using the ’˜oldsym˜ol ™onstru™tionD —s des™ri˜ed in fold gh—r—™ters in w—th wodeF „he old ™ontrol sequen™esD ’˜oldq—mm—D XXX D ’˜oldymeg—D h—ve now dis—ppe—redF „he upright upper™—se ˜old qreek letters —re p—rt of the ordin—ry ˜old fontF rowE everD the lower™—se —nd sl—nted letters —re not lo—ded —utom—ti™—llyD so you must spe™ify ’lo—d˜old ˜efore using themF

SF ƒym˜ol x—mes „he sym˜ols in the ms—m —nd ms˜m fonts h—ve ˜een —ssigned ’st—nd—rd4 ™ontrol sequen™e n—mes —s shown ˜elowF ell the sym˜ol n—mes —re lo—ded —utom—tiE ™—lly ˜y the preprint styleY if you —re not using the preprint styleD the ™omm—nd ’ seewƒsym˜ols will h—ve the s—me ee™tF @foth fonts must —lre—dy h—ve ˜een inst—lled or error mess—ges will resultFA „his will —dd —˜out PHH new ™ontrol seE quen™es to „iˆ9s intern—l t—˜leF sf you —re short on sp—™eD or need only — few of the sym˜olsD you ™—n use — dierent —ppro—™h to —™™ess just the ones you needF ƒee the se™tion „he ’newsym˜ol ™omm—nd ˜elowF

ƒpe™i—l sym˜ols —nd fl—™k˜o—rd fold letters gert—in sym˜ols from the ms—m f—mily ™—n ˜e spe™ied ˜y ™ontrol sequen™es th—t will ˜e dened —s soon —s the ™omm—nd ’lo—dms—m h—s —ppe—red in the leF ser9s quide to ewƒE„iˆ †ersion PFH IU

pirst there —re four sym˜ols th—t —re norm—lly used outside of m—th modeX ˆ ’™he™km—rk r ’™ir™led‚ z ’m—ltese ’yen „hese sym˜olsD like {D xD yD —nd zD ™—n —lso ˜e used in m—th modeD —nd will ™h—nge sizes ™orre™tly in su˜s™ripts —nd supers™riptsF xext —re four sym˜ols th—t —re ’delimiters4 @—lthough there —re no l—rger versions o˜t—in—˜le with ’left —nd ’rightAD so they must ˜e used in m—th modeX p ’ul™orner q ’ur™orner x ’ll™orner y ’lr™orner pin—llyD two d—shed —rrows —re ™onstru™ted from sym˜ols in this f—milyF xote th—t one of them h—s two n—mesY it ™—n ˜e —™™essed ˜y either oneX WWu ’d—shright—rrowD ’d—sh—rrow vWW ’d—shleft—rrow „he fl—™k˜o—rd fold letters eYXXXY —ppe—r in the ms˜m f—milyF yn™e ’lo—dms˜m h—s —ppe—red in the leD they ™—n ˜e typed @in m—th modeA —s ’f˜˜ eD XXX D ’f˜˜ F „he ms˜m f—mily —lso ™ont—ins wider versions of the ’wideh—t —nd ’widetilde —s des™ri˜ed in gh—pter PHD ’‡ide —™™ents in m—th modeF4

„he ’newsym˜ol ™omm—nd ell other sym˜ols of the ms—m —nd ms˜m fonts must ˜e n—med ˜y ™ontrol sequen™es so th—t they ™—n ˜e used @in m—th mode onlyA when the fonts —re lo—dedF „his ™—n ˜e done —ll —t on™e ˜y typing the instru™tion ’ seewƒsym˜olsD whi™h will lo—d in the le ewƒƒ‰wF„iˆF „his instru™tion is in™luded in the preprint styleD so the n—mes —re —ssigned —utom—ti™—llyD whi™h requires over PHH ™ontrol sequen™esF sf you —re very short on sp—™e for ™ontrol sequen™e n—mesD —nd need only — few of these sym˜olsD you ™—n omit ’ seewƒsym˜olsF snste—dD —ssign only the n—mes you will need ˜y using — new ewƒE„iˆ ™ontrol sequen™e ’newsym˜ol to ™re—te — ™ontrol sequen™e th—t will properly produ™e this sym˜olF „he ™ontrol sequen™e ™—n ˜e either the ’st—nd—rd4 n—meD —s listed ˜elowD or one of your own ™hoosingF „he list of sym˜ols ˜elow shows for e—™h sym˜ol the sym˜ol itselfD — fourE ™h—r—™ter ’shD4 —nd the ’st—nd—rd4 n—me of the sym˜olF @„he rst ™h—r—™ter of the sh identies the font f—mily in whi™h — sym˜ol residesF ƒym˜ols from the ms—m f—mily h—ve I —s the rst ™h—r—™terY sym˜ols from the ms˜m f—mily h—ve P —s the rst ™h—r—™terFA por ex—mpleD the sym˜ol  —ppe—rs —s  PQHe ’nleqsl—nt „o produ™e — ™ontrol sequen™e with this n—meD the instru™tion ’newsym˜ol’nleqsl—nt PQHe —ppe—rs in the le ewƒƒ‰wF„iˆF „his s—me instru™tion ™—n ˜e typed ˜y — user who is not using the preprint style —nd h—s ™hosen not to lo—d —ll the sym˜ol n—mes ˜y ’ seewƒsym˜olsF „here—fterD the ™ontrol sequen™e ’nleqsl—nt will produ™e the sym˜ol  @in m—th modeAD —nd will —™t properly —s — ’˜in—ry rel—tionF4 e few sym˜ols in these fonts repl—™e sym˜ols dened in €vesxF„iˆ ˜y ™om˜in—E tions of sym˜ols —v—il—˜le in the gomputer wodern fontsF „hese —re ’—ngle @’A —nd ’h˜—r @~A from the group ’wis™ell—neous sym˜olsD4 —nd ’rightlefth—rpoons @A IV ser9s quide to ewƒE„iˆ †ersion PFH

from the group ’errows4 ˜elow @—nd toyD pF PSUAF „he new sym˜ols will ™h—nge sizes ™orre™tly in su˜s™ripts —nd supers™riptsD provided th—t you —re using —ppropriE —te redenitionsF sn order to use ’newsym˜ol to repl—™e —n existing denitionD the n—me must rst ˜e ’undenedF4 rere —re the lines you must put in your le if you —re not using the preprint style or ’ seewƒsym˜ols @whi™h perform the redenition —utom—ti™—llyAX ’undefine’—ngle ’newsym˜ol’—ngle IHSg ’undefine’h˜—r ’newsym˜ol’h˜—r PHUi ’undefine’rightlefth—rpoons ’newsym˜ol’rightlefth—rpoons IQHe

„hese sym˜ols —re —gged in the t—˜les ˜elow with — ’@ A4 —s — reminder th—t they must ˜e undenedF xote in the t—˜les th—t some sym˜ols —re shown with two n—mesF sn su™h ™—sesD either one ™—n ˜e used to —™™ess the sym˜olF

 vower™—se qreek letters z PHUe ’dig—mm— { PHUf ’v—rk—pp—

 re˜rew letters i PHTW ’˜eth j PHTe ’gimel k PHTf ’d—leth

 wis™ell—neous sym˜ols ~ PHUi ’h˜—r @ A V IHQV ’˜—™kprime } PHUh ’hsl—sh c PHQp ’v—rnothing w IQRh ’v—rtri—ngle x IHRi ’˜l—™ktri—ngle y IHRp ’tri—ngledown r IHRV ’˜l—™ktri—ngledown  IHHQ ’squ—re  IHHR ’˜l—™ksqu—re  IHHT ’lozenge  IHHU ’˜l—™klozenge s IHUQ ’™ir™ledƒ p IHRT ’˜igst—r ’ IHSg ’—ngle @ A ” IHSi ’spheri™—l—ngle “ IHSh ’me—sured—ngle d PHRH ’nexists { IHUf ’™omplement f PHTT ’mho g PHTU ’eth – PHTH ’pinv 0 PQIi ’di—gup — PHTI ’q—me 1 PQIp ’di—gdown | PHUg ’f˜˜k

 fin—ry oper—tors u IPUS ’dotplus n PPTi ’ltimes r PPUP ’sm—llsetminus o PPTp ’rtimes e IPTS ’g—pD ’dou˜le™—p h IPTV ’leftthreetimes d IPTR ’gupD ’dou˜le™up i IPTW ’rightthreetimes ser9s quide to ewƒE„iˆ †ersion PFH IW

 IPSe ’˜—rwedge f IPTT ’™urlywedge ‰ IPSW ’vee˜—r g IPTU ’™urlyvee ‘ IPSf ’dou˜le˜—rwedge  IPHg ’˜oxminus  IPUp ’™ir™ledd—sh  IPHP ’˜oxtimes ~ IPUi ’™ir™led—st IPHH ’˜oxdot } IPUh ’™ir™led™ir™
IPHI ’˜oxplus  IPHS ’™enterdot b PPQi ’divideontimes | IPUg ’inter™—l  fin—ry rel—tions S IQQS ’leqq a IQQh ’geqq T IQQT ’leqsl—nt b IQQi ’geqsl—nt H IQQH ’eqsl—ntless I IQQI ’eqsl—ntgtr F IQPi ’lesssim 8 IQPT ’gtrsim G IQPp ’less—pprox 9 IQPU ’gtr—pprox u PQUS ’—pproxeq l PQTg ’lessdot m PQTh ’gtrdot n IQTi ’lllD ’llless o IQTp ’gggD ’gggtr U IQQU ’lessgtr c IQQp ’gtrless  IQSI ’lesseqgtr ‚ IQSP ’gtreqless ƒ IQSQ ’lesseqqgtr „ IQSR ’gtreqqless C IQPf ’doteqdotD ’hoteq € IQSH ’eq™ir™ X IQQe ’risingdotseq 6 IQPR ’™ir™eq Y IQQf ’f—llingdotseq D IQPg ’tri—ngleq v IQUT ’˜—™ksim s PQUQ ’thi™ksim w IQUU ’˜—™ksimeq t PQUR ’thi™k—pprox j IQTe ’su˜seteqq k IQTf ’supseteqq ˜ IQTP ’ƒu˜set ™ IQTQ ’ƒupset d IQRH ’sqsu˜set e IQRI ’sqsupset R IQQR ’pre™™urlyeq ` IQQg ’su™™™urlyeq P IQQP ’™urlyeqpre™ Q IQQQ ’™urlyeqsu™™ E IQPh ’pre™sim 7 IQPS ’su™™sim w PQUU ’pre™—pprox v PQUT ’su™™—pprox g IQRQ ’v—rtri—ngleleft f IQRP ’v—rtri—ngleright i IQRS ’tri—nglelefteq h IQRR ’tri—nglerighteq  IQHp ’vh—sh  IQHh ’†d—sh  IQHi ’†vd—sh – IQTH ’sm—llsmile p PQUH ’shortmid — IQTI ’sm—llfrown q PQUI ’shortp—r—llel l IQTg ’˜umpeq q IQRU ’˜etween m IQTh ’fumpeq t IQUR ’pit™hfork • IQSp ’v—rpropto  PQUp ’˜—™kepsilon t IQRe ’˜l—™ktri—ngleleft s IQRW ’˜l—™ktri—ngleright A IQPW ’therefore B IQPe ’˜e™—use

 xeg—ted rel—tions  PQHR ’nless  PQHS ’ngtr PH ser9s quide to ewƒE„iˆ †ersion PFH

 PQHP ’nleq  PQHQ ’ngeq  PQHe ’nleqsl—nt  PQHf ’ngeqsl—nt PQIR ’nleqq ! PQIS ’ngeqq  PQHg ’lneq  PQHh ’gneq  PQHV ’lneqq PQHW ’gneqq PQHH ’lvertneqq
PQHI ’gvertneqq  PQIP ’lnsim  PQIQ ’gnsim & PQIe ’ln—pprox ' PQIf ’gn—pprox  PQHT ’npre™  PQHU ’nsu™™  PQHi ’npre™eq  PQHp ’nsu™™eq " PQIT ’pre™neqq # PQIU ’su™™neqq  PQIH ’pre™nsim  PQII ’su™™nsim $ PQIV ’pre™n—pprox % PQIW ’su™™n—pprox ( PQIg ’nsim ) PQIh ’n™ong F PQPi ’nshortmid G PQPp ’nshortp—r—llel E PQPh ’nmid D PQPg ’np—r—llel H PQQH ’nvd—sh P PQQP ’nvh—sh I PQQI ’n†d—sh Q PQQQ ’n†h—sh T PQQT ’ntri—ngleleft U PQQU ’ntri—ngleright S PQQS ’ntri—nglelefteq R PQQR ’ntri—nglerighteq B PQPe ’nsu˜seteq C PQPf ’nsupseteq 4 PQPP ’nsu˜seteqq 5 PQPQ ’nsupseteqq @ PQPV ’su˜setneq A PQPW ’supsetneq 2 PQPH ’v—rsu˜setneq 3 PQPI ’v—rsupsetneq 6 PQPR ’su˜setneqq 7 PQPS ’supsetneqq 8 PQPT ’v—rsu˜setneqq 9 PQPU ’v—rsupsetneqq

 errows  IQIP ’leftleft—rrows  IQIQ ’rightright—rrows ( IQIg ’leftright—rrows ) IQIh ’rightleft—rrows ‡ IQSU ’vleft—rrow † IQST ’‚right—rrow  IQII ’twohe—dleft—rrow  IQIH ’twohe—dright—rrow ' IQIf ’left—rrowt—il & IQIe ’right—rrowt—il 4 IQPP ’loop—rrowleft 5 IQPQ ’loop—rrowright  IQHf ’leftrighth—rpoons  IQHe ’rightlefth—rpoons @ A x PQUV ’™urve—rrowleft y PQUW ’™urve—rrowright IQHW ’™ir™le—rrowleft  IQHV ’™ir™le—rrowright 0 IQIi ’vsh 1 IQIp ’‚sh IQIR ’upup—rrows ! IQIS ’downdown—rrows $ IQIV ’uph—rpoonleft " IQIT ’uph—rpoonrightD ’restri™tion % IQIW ’downh—rpoonleft # IQIU ’downh—rpoonright @ IQPV ’multim—p 2 IQPH ’rightsquig—rrow 3 IQPI ’leftrightsquig—rrow

 xeg—ted —rrows 2 PQPH ’left—rrow W PQQW ’nright—rrow ser9s quide to ewƒE„iˆ †ersion PFH PI

X PQQe ’nveft—rrow Y PQQf ’n‚ight—rrow a PQQh ’nleftright—rrow ` PQQg ’nveftright—rrow

TF yther „hings ‰ou yught to unow irr—t— to „he toy of „iˆ prior to ewƒE„iˆ PFH „he le ty‰i‚‚F„iˆ ™ont—ins the full list of ™orre™tions to toy th—t pre™eded the rele—se of ewƒE„iˆ †ersion PFHF e user who desires — typeset ™opy of this le m—y run it through „iˆ —nd print out the Fdvi leF „his will require †ersion PFH of ewƒE„iˆ —nd ewƒ€€„Fƒ„‰D —nd —lso ewƒponts †ersion PFHF e™knowledging the use of ewƒE„iˆ „he following —re suggested —s —ppropri—te st—tements of —™knowledgment th—t ewƒE„iˆ h—s ˜een used to form—t — do™ument for pu˜li™—tionF e single p—per should in™lude the following —t the ˜ottom of the rst p—geX „ypeset ˜y ewƒE„iˆ @„his not—tion is provided —utom—ti™—lly ˜y the ewƒE„iˆ preprint styleFA sf —n entire journ—l or ˜ook is prep—red with ewƒE„iˆD the following st—tement should —ppe—r on its ™opyright p—geX „his ‘journ—lG˜ook“ w—s typeset ˜y ewƒE„iˆD the „iˆ m—™ro system of the emeri™—n w—them—ti™—l ƒo™ietyF sf only sele™ted p—pers in — journ—l or ˜ook —re set with ewƒE„iˆD these p—E pers should ˜e identied —s shown —˜oveD —nd the following should —ppe—r on the ™opyright p—geX ewƒE„iˆ is the „iˆ m—™ro system of the emeri™—n w—them—ti™—l ƒo™ietyF

UF qetting relp sf you should nd —ny ˜ugs in the m—™ros or do™ument—tionD send — €ro˜lem ‚eport toX „e™hni™—l ƒupport qroup emeri™—n w—them—ti™—l ƒo™iety €F yF fox TPRV €roviden™eD ‚s HPWRH €honeX VHHEQPIERewƒ or RHIERSSERHVH snternetX te™hEsupportdw—thFewƒF™om e €ro˜lem ‚eport should ™ont—in the following inform—tionX @IA version of ewƒ„iˆF„iˆ —nd of ewƒ€€„Fƒ„‰ with whi™h the pro˜lem o™™urredY @PA — det—iled des™ription of the pro˜lemD in™luding the input ™ode for one or more ex—mples th—t illustr—te the pro˜lemY @QA — log le of — „iˆ session showing the pro˜lemF PP ser9s quide to ewƒE„iˆ †ersion PFH

eppendixF ƒ—mple fi˜liogr—phy snput —nd yutput

’‚efs ’ref’no R ’˜y †F sF ernol696dD eF xF †—r™henkoD —nd ƒF wF quse’u’i nE—de ’˜ook ƒingul—rities of differenti—˜le m—psF~’rm s ’pu˜l ––x—uk—99 ’pu˜l—ddr wos™ow ’yr IWVP ’l—ng ‚ussi—n ’endref

’ref’no S’˜ys—me ’˜ook ƒingul—rities of differenti—˜le m—psF~’rm ss ’pu˜l ––x—uk—99 ’pu˜l—ddr wos™ow ’yr IWVR ’l—ng ‚ussi—n ’endref

’ref’no T ’˜y yF eF v—dyzhensk—y— ’˜ook w—them—ti™—l pro˜lems in the dyn—mi™s of — vis™ous in™ompressi˜le fluid ’˜ookinfo Pnd revF —ugF edF ’pu˜l ––x—uk—99 ’pu˜l—ddr wos™ow ’yr IWUH ’l—ng ‚ussi—n ’tr—nsl inglish tr—nslF of Ist edF ’˜ook „he m—them—ti™—l theory of vis™ous in™ompressi˜le flow ’pu˜l qordon —nd fre—™h ’pu˜l—ddr xew ‰ork ’yr IWTQY revF IWTW ’endref ser9s quide to ewƒE„iˆ †ersion PFH PQ

’ref’no U ’˜y €F hF v—x —nd gF hF vevermore ’p—per „he sm—ll dispersion limit for the ud† equ—tionF~’rm s ’jour gommF €ure epplF w—thF ’vol QT ’yr IWVQ ’p—ges PSQEEPWH ’nofrills’fin—linfo @overviewA ’moreref’p—per ’rm ss ’jour gommF €ure epplF w—thF ’vol QT ’yr IWVQ ’p—ges SUIEESWR ’moreref’p—per ’rm sss ’jour gommF €ure epplF w—thF ’vol QT ’yr IWVQ ’p—ges VHWEEVPW ’endref

’ref’noIH ’˜y ƒF ysher ’p—per ƒho™k ™—pturing —lgorithms for equ—tions of mixed type ’in˜ook xumeri™—l wethods for €—rti—l hifferenti—l iqu—tions ’eds ƒF sF r—rih—r—n —nd „F rF woulton ’pu˜l vongm—n ’pu˜l—ddr xew ‰ork ’yr IWVT ’p—ges QHSEEQPP ’endref

’ref’no IU ’˜y qF ƒF €etrov ’p—per illipti™ integr—ls —nd their nonos™ill—tory ˜eh—vior ’jour punktsion—lF en—lF i €rilozhenF ’vol PH ’yr IWVT ’p—ges RTEERW ’tr—nsl’nofrills inglish tr—nslF in ’jour pun™tion—l en—lF epplF ’vol PH’yr IWVT ’endref PR ser9s quide to ewƒE„iˆ †ersion PFH

’widestnum˜er’key{qrw—‚}

’ref’key gI ’˜y fF goomes ’˜ook €olynomi—l flowsD symmetry groupsD —nd ™onditions suffi™ient for inje™tivity of m—ps ’˜ookinfo €hFhF thesisD nivF xe˜r—sk—EEvin™oln ’yr IWVV ’endref

’ref’key gP ’˜ys—me 7 fF goomes ’p—per „he vorenz system does not h—ve — polynomi—l flow ’jour tF hifferenti—l iqu—tions ’to—ppe—r ’endref

’ref’key qrw—‚ ’˜y tF qu™kenheimerD €F rolmesD wF w—rtine—uD —nd vF €F ‚o˜inson ’˜ook xonline—r os™ill—tionsD dyn—mi™—l systemsD —nd ˜ifur™—tions of ve™tor fields ’˜ookinfo ’pu˜l ƒpringerE†erl—g ’pu˜l—ddr xew ‰ork ’yr IWVQ ’end‚efs ser9s quide to ewƒE„iˆ †ersion PFH PS

‚eferen™es RF †F sF ernolHdD eF xF †—r™henkoD —nd ƒF wF quse!nE—deD ƒingul—rities of dierenti—˜le m—psF sD ’x—uk—4D wos™owD IWVPF @‚ussi—nA SF D ƒingul—rities of dierenti—˜le m—psF ssD ’x—uk—4D wos™owD IWVRF @‚ussi—nA TF yF eF v—dyzhensk—y—D w—them—ti™—l pro˜lems in the dyn—mi™s of — vis™ous in™ompressi˜le uidD Pnd revF —ugF edFD ’x—uk—4D wos™owD IWUH @‚ussi—nAY inglish tr—nslF of Ist edFD „he m—them—ti™—l theory of vis™ous in™ompressi˜le owD qordon —nd fre—™hD xew ‰orkD IWTQY revF IWTWF

UF €F hF v—x —nd gF hF vevermoreD „he sm—ll dispersion limit for the ud† equ—tionF sD gommF €ure epplF w—thF QT @IWVQAD PSQ{PWH @overviewAY ssD gommF €ure epplF w—thF QT @IWVQAD SUI{SWRY sssD gommF €ure epplF w—thF QT @IWVQAD VHW{VPWF IHF ƒF ysherD ƒho™k ™—pturing —lgorithms for equ—tions of mixed typeD xuE meri™—l wethods for €—rti—l hierenti—l iqu—tions @ƒF sF r—rih—r—n —nd „F rF woultonD edsFAD vongm—nD xew ‰orkD IWVTD ppF QHS{QPPF IUF qF ƒF €etrovD illipti™ integr—ls —nd their nonos™ill—tory ˜eh—viorD punkE tsion—lF en—lF i €rilozhenF PH @IWVTAD RT{RWY inglish tr—nslF in pun™E tion—l en—lF epplF PH @IWVTAF

‘gI“ fF goomesD €olynomi—l owsD symmetry groupsD —nd ™onditions su™ient for inje™tivity of m—psD €hFhF thesisD nivF xe˜r—sk—{ vin™olnD IWVVF ‘gP“ D „he vorenz system does not h—ve — polynomi—l owDtF hierenti—l iqu—tions @to —ppe—rAF ‘qrw—‚“ tF qu™kenheimerD €F rolmesD wF w—rtine—uD —nd vF €F ‚o˜insonD xonline—r os™ill—tionsD dyn—mi™—l systemsD —nd ˜ifur™—tions of ve™tor eldsD ƒpringerE†erl—gD xew ‰orkD IWVQF