<!-- ########################################################################### # # File name: img.inc # Project: Journals # Description: LaTeX control sequence entities for inclusion in Journals DTDs # This should not contain anything which is also in one of the ISO files # # # External documents: # # # Author: Peter Haworth/A J Cox # Date created: 15/03/00 # # $Id$ # # Copyright (C) IOP Publishing Ltd 1999-2008 # Portions Copyright International Organization for Standardization 1986 ############################################################################ --> <!ENTITY % iso_include SYSTEM "iso.inc"> %iso_include; <!ENTITY percent "%"> <!-- percent sign --> <!ENTITY endash "–"> <!-- en dash --> <!ENTITY emdash "—"> <!-- em dash --> <!ENTITY equal " = "> <!-- equal sign --> <!ENTITY underscore "_"> <!-- underscore --> <!ENTITY lslash "ł"> <!-- l slash --> <!ENTITY Lslash "Ł"> <!-- L slash --> <!ENTITY pounds "£"> <!-- pound sign --> <!ENTITY registered "®"> <!-- registered trademark --> <!ENTITY TM "™"> <!-- trademark --> <!ENTITY trademark "™"> <!-- trademark --> <!ENTITY calA "𝒜"> <!-- Script A --> <!ENTITY calB "ℬ"> <!-- Script B --> <!ENTITY calC "𝒞"> <!-- Script C --> <!ENTITY calD "𝒟"> <!-- Script D --> <!ENTITY calE "ℰ"> <!-- Script E --> <!ENTITY calF "ℱ"> <!-- Script F --> <!ENTITY calG "𝒢"> <!-- Script G --> <!ENTITY calH "ℋ"> <!-- Script H --> <!ENTITY calI "ℐ"> <!-- Script I --> <!ENTITY calJ "𝒥"> <!-- Script J --> <!ENTITY calK "𝒦"> <!-- Script K --> <!ENTITY calL "ℒ"> <!-- Script L --> <!ENTITY calM "ℳ"> <!-- Script M --> <!ENTITY calN "𝒩"> <!-- Script N --> <!ENTITY calO "𝒪"> <!-- Script O --> <!ENTITY calP "𝒫"> <!-- Script P --> <!ENTITY calQ "𝒬"> <!-- Script Q --> <!ENTITY calR "ℛ"> <!-- Script R --> <!ENTITY calS "𝒮"> <!-- Script S --> <!ENTITY calT "𝒯"> <!-- Script T --> <!ENTITY calU "𝒰"> <!-- Script U --> <!ENTITY calV "𝒱"> <!-- Script V --> <!ENTITY calW "𝒲"> <!-- Script W --> <!ENTITY calX "𝒳"> <!-- Script X --> <!ENTITY calY "𝒴"> <!-- Script Y --> <!ENTITY calZ "𝒵"> <!-- Script Z --> <!ENTITY BbbA "𝔸"> <!-- Blackboard bold A --> <!ENTITY BbbB "𝔹"> <!-- Blackboard bold B --> <!ENTITY BbbC "ℂ"> <!-- Blackboard bold C --> <!ENTITY BbbD "𝔻"> <!-- Blackboard bold D --> <!ENTITY BbbE "𝔼"> <!-- Blackboard bold E --> <!ENTITY BbbF "𝔽"> <!-- Blackboard bold F --> <!ENTITY BbbG "𝔾"> <!-- Blackboard bold G --> <!ENTITY BbbH "ℍ"> <!-- Blackboard bold H --> <!ENTITY BbbI "𝕀"> <!-- Blackboard bold I --> <!ENTITY BbbJ "𝕁"> <!-- Blackboard bold J --> <!ENTITY BbbK "𝕂"> <!-- Blackboard bold K --> <!ENTITY BbbL "𝕃"> <!-- Blackboard bold L --> <!ENTITY BbbM "𝕄"> <!-- Blackboard bold M --> <!ENTITY BbbN "ℕ"> <!-- Blackboard bold N --> <!ENTITY BbbO "𝕆"> <!-- Blackboard bold O --> <!ENTITY BbbP "ℙ"> <!-- Blackboard bold P --> <!ENTITY BbbQ "ℚ"> <!-- Blackboard bold Q --> <!ENTITY BbbR "ℝ"> <!-- Blackboard bold R --> <!ENTITY BbbS "𝕊"> <!-- Blackboard bold S --> <!ENTITY BbbT "𝕋"> <!-- Blackboard bold T --> <!ENTITY BbbU "𝕌"> <!-- Blackboard bold U --> <!ENTITY BbbV "𝕍"> <!-- Blackboard bold V --> <!ENTITY BbbW "𝕎"> <!-- Blackboard bold W --> <!ENTITY BbbX "𝕏"> <!-- Blackboard bold X --> <!ENTITY BbbY "𝕐"> <!-- Blackboard bold Y --> <!ENTITY BbbZ "ℤ"> <!-- Blackboard bold Z --> <!ENTITY Bbbk "𝕜"> <!-- Blackboard bold k --> <!ENTITY frakA "𝔄"> <!-- Fraktur A --> <!ENTITY frakB "𝔅"> <!-- Fraktur B --> <!ENTITY frakC "ℭ"> <!-- Fraktur C --> <!ENTITY frakD "𝔇"> <!-- Fraktur D --> <!ENTITY frakE "𝔈"> <!-- Fraktur E --> <!ENTITY frakF "𝔉"> <!-- Fraktur F --> <!ENTITY frakG "𝔊"> <!-- Fraktur G --> <!ENTITY frakH "ℌ"> <!-- Fraktur H --> <!ENTITY frakI "ℑ"> <!-- Fraktur I --> <!ENTITY frakJ "𝔍"> <!-- Fraktur J --> <!ENTITY frakK "𝔎"> <!-- Fraktur K --> <!ENTITY frakL "𝔏"> <!-- Fraktur L --> <!ENTITY frakM "𝔐"> <!-- Fraktur M --> <!ENTITY frakN "𝔑"> <!-- Fraktur N --> <!ENTITY frakO "𝔒"> <!-- Fraktur O --> <!ENTITY frakP "𝔓"> <!-- Fraktur P --> <!ENTITY frakQ "𝔔"> <!-- Fraktur Q --> <!ENTITY frakR "ℜ"> <!-- Fraktur R --> <!ENTITY frakS "𝔖"> <!-- Fraktur S --> <!ENTITY frakT "𝔗"> <!-- Fraktur T --> <!ENTITY frakU "𝔘"> <!-- Fraktur U --> <!ENTITY frakV "𝔙"> <!-- Fraktur V --> <!ENTITY frakW "𝔚"> <!-- Fraktur W --> <!ENTITY frakX "𝔛"> <!-- Fraktur X --> <!ENTITY frakY "𝔜"> <!-- Fraktur Y --> <!ENTITY frakZ "ℨ"> <!-- Fraktur Z --> <!ENTITY fraka "𝔞"> <!-- Fraktur a --> <!ENTITY frakb "𝔟"> <!-- Fraktur b --> <!ENTITY frakc "𝔠"> <!-- Fraktur c --> <!ENTITY frakd "𝔡"> <!-- Fraktur d --> <!ENTITY frake "𝔢"> <!-- Fraktur e --> <!ENTITY frakf "𝔣"> <!-- Fraktur f --> <!ENTITY frakg "𝔤"> <!-- Fraktur g --> <!ENTITY frakh "𝔥"> <!-- Fraktur h --> <!ENTITY fraki "𝔦"> <!-- Fraktur i --> <!ENTITY frakj "𝔧"> <!-- Fraktur j --> <!ENTITY frakk "𝔨"> <!-- Fraktur k --> <!ENTITY frakl "𝔩"> <!-- Fraktur l --> <!ENTITY frakm "𝔪"> <!-- Fraktur m --> <!ENTITY frakn "𝔫"> <!-- Fraktur n --> <!ENTITY frako "𝔬"> <!-- Fraktur o --> <!ENTITY frakp "𝔭"> <!-- Fraktur p --> <!ENTITY frakq "𝔮"> <!-- Fraktur q --> <!ENTITY frakr "𝔯"> <!-- Fraktur r --> <!ENTITY fraks "𝔰"> <!-- Fraktur s --> <!ENTITY frakt "𝔱"> <!-- Fraktur t --> <!ENTITY fraku "𝔲"> <!-- Fraktur u --> <!ENTITY frakv "𝔳"> <!-- Fraktur v --> <!ENTITY frakw "𝔴"> <!-- Fraktur w --> <!ENTITY frakx "𝔵"> <!-- Fraktur x --> <!ENTITY fraky "𝔶"> <!-- Fraktur y --> <!ENTITY frakz "𝔷"> <!-- Fraktur z --> <!-- Grave accent on italic letters --> <!ENTITY graveA "𝐴̀"> <!-- italic A grave --> <!ENTITY graveE "𝐸̀"> <!-- italic E grave --> <!ENTITY graveI "𝐼̀"> <!-- italic I grave --> <!ENTITY graveO "𝑂̀"> <!-- italic O grave --> <!ENTITY graveU "𝑈̀"> <!-- italic U grave --> <!ENTITY gravea "𝑎̀"> <!-- italic a grave --> <!ENTITY gravee "𝑒̀"> <!-- italic e grave --> <!ENTITY gravei "𝑖̀"> <!-- italic i grave --> <!ENTITY graveo "𝑜̀"> <!-- italic o grave --> <!ENTITY graveu "𝑢̀"> <!-- italic u grave --> <!-- Acute accent on italic letters --> <!ENTITY acuteA "𝐴́"> <!-- italic A acute --> <!ENTITY acuteE "𝐸́"> <!-- italic E acute --> <!ENTITY acuteI "𝐼́"> <!-- italic I acute --> <!ENTITY acuteO "𝑂́"> <!-- italic O acute --> <!ENTITY acuteU "𝑈́"> <!-- italic U acute --> <!ENTITY acuteY "𝑌́"> <!-- italic Y acute --> <!ENTITY acutea "𝑎́"> <!-- italic a acute --> <!ENTITY acutee "𝑒́"> <!-- italic e acute --> <!ENTITY acutei "𝑖́"> <!-- italic i acute --> <!ENTITY acuteo "𝑜́"> <!-- italic o acute --> <!ENTITY acuteu "𝑢́"> <!-- italic u acute --> <!ENTITY acutey "𝑦́"> <!-- italic y acute --> <!-- Cedilla on upright letters --> <!ENTITY Acedil "A̧"> <!-- A cedilla --> <!ENTITY Bcedil "B̧"> <!-- B cedilla --> <!ENTITY Dcedil "Ḑ"> <!-- D cedilla --> <!ENTITY Ecedil "Ȩ"> <!-- E cedilla --> <!ENTITY Fcedil "F̧"> <!-- F cedilla --> <!ENTITY Hcedil "Ḩ"> <!-- H cedilla --> <!ENTITY Icedil "I̧"> <!-- I cedilla --> <!ENTITY Jcedil "J̧"> <!-- J cedilla --> <!ENTITY Mcedil "M̧"> <!-- M cedilla --> <!ENTITY Ocedil "O̧"> <!-- O cedilla --> <!ENTITY Pcedil "P̧"> <!-- P cedilla --> <!ENTITY Qcedil "Q̧"> <!-- Q cedilla --> <!ENTITY Ucedil "U̧"> <!-- U cedilla --> <!ENTITY Vcedil "V̧"> <!-- V cedilla --> <!ENTITY Wcedil "W̧"> <!-- W cedilla --> <!ENTITY Xcedil "X̧"> <!-- X cedilla --> <!ENTITY Ycedil "Y̧"> <!-- Y cedilla --> <!ENTITY Zcedil "Z̧"> <!-- Z cedilla --> <!ENTITY acedil "a̧"> <!-- a cedilla --> <!ENTITY bcedil "b̧"> <!-- b cedilla --> <!ENTITY dcedil "ḑ"> <!-- d cedilla --> <!ENTITY ecedil "ȩ"> <!-- e cedilla --> <!ENTITY fcedil "f̧"> <!-- f cedilla --> <!ENTITY gcedil "ģ"> <!-- g cedilla --> <!ENTITY hcedil "ḩ"> <!-- h cedilla --> <!ENTITY icedil "i̧"> <!-- i cedilla --> <!ENTITY jcedil "j̧"> <!-- j cedilla --> <!ENTITY mcedil "m̧"> <!-- m cedilla --> <!ENTITY ocedil "o̧"> <!-- o cedilla --> <!ENTITY pcedil "p̧"> <!-- p cedilla --> <!ENTITY qcedil "q̧"> <!-- q cedilla --> <!ENTITY ucedil "u̧"> <!-- u cedilla --> <!ENTITY vcedil "v̧"> <!-- v cedilla --> <!ENTITY wcedil "w̧"> <!-- w cedilla --> <!ENTITY xcedil "x̧"> <!-- x cedilla --> <!ENTITY ycedil "y̧"> <!-- y cedilla --> <!ENTITY zcedil "z̧"> <!-- z cedilla --> <!-- hacek or check accent over character --> <!ENTITY Acheck "Ǎ"> <!-- check A --> <!ENTITY Bcheck "B̌"> <!-- check B --> <!ENTITY Ccheck "Č"> <!-- check C --> <!ENTITY Dcheck "Ď"> <!-- check D --> <!ENTITY Echeck "Ě"> <!-- check E --> <!ENTITY Fcheck "F̌"> <!-- check F --> <!ENTITY Gcheck "Ǧ"> <!-- check G --> <!ENTITY Hcheck "Ȟ"> <!-- check H --> <!ENTITY Icheck "Ǐ"> <!-- check I --> <!ENTITY Jcheck "J̌"> <!-- check J --> <!ENTITY Kcheck "Ǩ"> <!-- check K --> <!ENTITY Lcheck "Ľ"> <!-- check L --> <!ENTITY Mcheck "M̌"> <!-- check M --> <!ENTITY Ncheck "Ň"> <!-- check N --> <!ENTITY Ocheck "Ǒ"> <!-- check O --> <!ENTITY Pcheck "P̌"> <!-- check P --> <!ENTITY Qcheck "Q̌"> <!-- check Q --> <!ENTITY Rcheck "Ř"> <!-- check R --> <!ENTITY Scheck "Š"> <!-- check S --> <!ENTITY Tcheck "Ť"> <!-- check T --> <!ENTITY Ucheck "Ǔ"> <!-- check U --> <!ENTITY Vcheck "V̌"> <!-- check V --> <!ENTITY Wcheck "W̌"> <!-- check W --> <!ENTITY Xcheck "X̌"> <!-- check X --> <!ENTITY Ycheck "Y̌"> <!-- check Y --> <!ENTITY Zcheck "Ž"> <!-- check Z --> <!ENTITY acheck "ǎ"> <!-- check a --> <!ENTITY bcheck "b̌"> <!-- check b --> <!ENTITY ccheck "č"> <!-- check c --> <!ENTITY dcheck "ď"> <!-- check d --> <!ENTITY echeck "ě"> <!-- check e --> <!ENTITY fcheck "f̌"> <!-- check f --> <!ENTITY gcheck "ǧ"> <!-- check g --> <!ENTITY hcheck "ȟ"> <!-- check h --> <!ENTITY icheck "ǐ"> <!-- check i --> <!ENTITY jcheck "ǰ"> <!-- check j --> <!ENTITY kcheck "ǩ"> <!-- check k --> <!ENTITY lcheck "ľ"> <!-- check l --> <!ENTITY mcheck "m̌"> <!-- check m --> <!ENTITY ncheck "ň"> <!-- check n --> <!ENTITY ocheck "ǒ"> <!-- check o --> <!ENTITY pcheck "p̌"> <!-- check p --> <!ENTITY qcheck "q̌"> <!-- check q --> <!ENTITY rcheck "ř"> <!-- check r --> <!ENTITY scheck "š"> <!-- check s --> <!ENTITY tcheck "ť"> <!-- check t --> <!ENTITY ucheck "ǔ"> <!-- check u --> <!ENTITY vcheck "v̌"> <!-- check v --> <!ENTITY wcheck "w̌"> <!-- check w --> <!ENTITY xcheck "x̌"> <!-- check x --> <!ENTITY ycheck "y̌"> <!-- check y --> <!ENTITY zcheck "ž"> <!-- check z --> <!-- breve accent over character --> <!ENTITY Bbreve "B̆"> <!-- breve B --> <!ENTITY Cbreve "C̆"> <!-- breve C --> <!ENTITY Dbreve "D̆"> <!-- breve D --> <!ENTITY Ebreve "Ĕ"> <!-- breve E --> <!ENTITY Fbreve "F̆"> <!-- breve F --> <!ENTITY Hbreve "H̆"> <!-- breve H --> <!ENTITY Ibreve "Ĭ"> <!-- breve I --> <!ENTITY Jbreve "J̆"> <!-- breve J --> <!ENTITY Kbreve "K̆"> <!-- breve K --> <!ENTITY Lbreve "L̆"> <!-- breve L --> <!ENTITY Mbreve "M̆"> <!-- breve M --> <!ENTITY Nbreve "N̆"> <!-- breve N --> <!ENTITY Obreve "Ŏ"> <!-- breve O --> <!ENTITY Pbreve "P̆"> <!-- breve P --> <!ENTITY Qbreve "Q̆"> <!-- breve Q --> <!ENTITY Rbreve "R̆"> <!-- breve R --> <!ENTITY Sbreve "S̆"> <!-- breve S --> <!ENTITY Tbreve "T̆"> <!-- breve T --> <!ENTITY Vbreve "V̆"> <!-- breve V --> <!ENTITY Wbreve "W̆"> <!-- breve W --> <!ENTITY Xbreve "X̆"> <!-- breve X --> <!ENTITY Ybreve "Y̆"> <!-- breve Y --> <!ENTITY Zbreve "Z̆"> <!-- breve Z --> <!ENTITY bbreve "b̆"> <!-- breve b --> <!ENTITY cbreve "c̆"> <!-- breve c --> <!ENTITY dbreve "d̆"> <!-- breve d --> <!ENTITY ebreve "ĕ"> <!-- breve e --> <!ENTITY fbreve "f̆"> <!-- breve f --> <!ENTITY hbreve "h̆"> <!-- breve h --> <!ENTITY ibreve "ĭ"> <!-- breve i --> <!ENTITY jbreve "j̆"> <!-- breve j --> <!ENTITY kbreve "k̆"> <!-- breve k --> <!ENTITY lbreve "l̆"> <!-- breve l --> <!ENTITY mbreve "m̆"> <!-- breve m --> <!ENTITY nbreve "n̆"> <!-- breve n --> <!ENTITY obreve "ŏ"> <!-- breve o --> <!ENTITY pbreve "p̆"> <!-- breve p --> <!ENTITY qbreve "q̆"> <!-- breve q --> <!ENTITY rbreve "r̆"> <!-- breve r --> <!ENTITY sbreve "s̆"> <!-- breve s --> <!ENTITY tbreve "t̆"> <!-- breve t --> <!ENTITY vbreve "v̆"> <!-- breve v --> <!ENTITY wbreve "w̆"> <!-- breve w --> <!ENTITY xbreve "x̆"> <!-- breve x --> <!ENTITY ybreve "y̆"> <!-- breve y --> <!ENTITY zbreve "z̆"> <!-- breve z --> <!-- barred characters (in maths) --> <!-- XXX The images for these are italic --> <!ENTITY barA "Ā"> <!-- bar A --> <!ENTITY barB "B̄"> <!-- bar B --> <!ENTITY barC "C̄"> <!-- bar C --> <!ENTITY barD "D̄"> <!-- bar D --> <!ENTITY barE "Ē"> <!-- bar E --> <!ENTITY barF "F̄"> <!-- bar F --> <!ENTITY barG "Ḡ"> <!-- bar G --> <!ENTITY barH "H̄"> <!-- bar H --> <!ENTITY barI "Ī"> <!-- bar I --> <!ENTITY barJ "J̄"> <!-- bar J --> <!ENTITY barK "K̄"> <!-- bar K --> <!ENTITY barL "L̄"> <!-- bar L --> <!ENTITY barM "M̄"> <!-- bar M --> <!ENTITY barN "N̄"> <!-- bar N --> <!ENTITY barO "Ō"> <!-- bar O --> <!ENTITY barP "P̄"> <!-- bar P --> <!ENTITY barQ "Q̄"> <!-- bar Q --> <!ENTITY barR "R̄"> <!-- bar R --> <!ENTITY barS "S̄"> <!-- bar S --> <!ENTITY barT "T̄"> <!-- bar T --> <!ENTITY barU "Ū"> <!-- bar U --> <!ENTITY barV "V̄"> <!-- bar V --> <!ENTITY barW "W̄"> <!-- bar W --> <!ENTITY barX "X̄"> <!-- bar X --> <!ENTITY barY "Ȳ"> <!-- bar Y --> <!ENTITY barZ "Z̄"> <!-- bar Z --> <!ENTITY bara "ā"> <!-- bar a --> <!ENTITY barb "b̄"> <!-- bar b --> <!ENTITY barc "c̄"> <!-- bar c --> <!ENTITY bard "d̄"> <!-- bar d --> <!ENTITY bare "ē"> <!-- bar e --> <!ENTITY barf "f̄"> <!-- bar f --> <!ENTITY barg "ḡ"> <!-- bar g --> <!ENTITY barh "h̄"> <!-- bar h --> <!ENTITY bari "ī"> <!-- bar i --> <!ENTITY barj "j̄"> <!-- bar j --> <!ENTITY bark "k̄"> <!-- bar k --> <!ENTITY barl "l̄"> <!-- bar l --> <!ENTITY barm "m̄"> <!-- bar m --> <!ENTITY barn "n̄"> <!-- bar n --> <!ENTITY baro "ō"> <!-- bar o --> <!ENTITY barp "p̄"> <!-- bar p --> <!ENTITY barq "q̄"> <!-- bar q --> <!ENTITY barr "r̄"> <!-- bar r --> <!ENTITY bars "s̄"> <!-- bar s --> <!ENTITY bart "t̄"> <!-- bar t --> <!ENTITY baru "ū"> <!-- bar u --> <!ENTITY barv "v̄"> <!-- bar v --> <!ENTITY barw "w̄"> <!-- bar w --> <!ENTITY barx "x̄"> <!-- bar x --> <!ENTITY bary "ȳ"> <!-- bar y --> <!ENTITY barz "z̄"> <!-- bar z --> <!ENTITY barAlpha "Ᾱ"> <!-- bar Alpha --> <!ENTITY barIota "Ῑ"> <!-- bar Iota --> <!ENTITY barGamma "Γ̄"> <!-- bar Gamma --> <!ENTITY barUpsilon "Ῡ"> <!-- bar Upsilon --> <!ENTITY baralpha "ᾱ"> <!-- bar alpha --> <!ENTITY barbeta "β̄"> <!-- bar beta --> <!ENTITY bargamma "γ̄"> <!-- bar gamma --> <!ENTITY bardelta "δ̄"> <!-- bar delta --> <!ENTITY barepsilon "ε̄"> <!-- bar epsilon --> <!ENTITY barzeta "ζ̄"> <!-- bar zeta --> <!ENTITY bareta "η̄"> <!-- bar eta --> <!ENTITY bartheta "θ̄"> <!-- bar theta --> <!ENTITY bariota "ῑ"> <!-- bar iota --> <!ENTITY barkappa "κ̄"> <!-- bar kappa --> <!ENTITY barlambda "λ̄"> <!-- bar lambda --> <!ENTITY barmu "μ̄"> <!-- bar mu --> <!ENTITY barnu "ν̄"> <!-- bar nu --> <!ENTITY barxi "ξ̄"> <!-- bar xi --> <!ENTITY barpi "π̄"> <!-- bar pi --> <!ENTITY barrho "ρ̄"> <!-- bar rho --> <!ENTITY barsigma "σ̄"> <!-- bar sigma --> <!ENTITY bartau "τ̄"> <!-- bar tau --> <!ENTITY barupsilon "ῡ"> <!-- bar upsilon --> <!ENTITY barphi "φ̄"> <!-- bar phi --> <!ENTITY barchi "χ̄"> <!-- bar chi --> <!ENTITY barpsi "ψ̄"> <!-- bar psi --> <!ENTITY baromega "ω̄"> <!-- bar omega --> <!ENTITY barvarepsilon "ϵ̄"> <!-- bar varepsilon --> <!ENTITY barvartheta "ϑ̄"> <!-- bar vartheta --> <!ENTITY barvarpi "ϖ̄"> <!-- bar varpi --> <!ENTITY barvarrho "ϱ̄"> <!-- bar varrho --> <!ENTITY barvarsigma "ς̄"> <!-- bar varsigma --> <!ENTITY barvarphi "ϕ̄"> <!-- bar varphi --> <!ENTITY barpartial "&partial;̄"> <!-- bar partial --> <!-- These are upright --> <!ENTITY bar0 "0̄"> <!-- bar 0 --> <!ENTITY bar1 "1̄"> <!-- bar 1 --> <!ENTITY bar2 "2̄"> <!-- bar 2 --> <!ENTITY bar3 "3̄"> <!-- bar 3 --> <!ENTITY bar4 "4̄"> <!-- bar 4 --> <!ENTITY bar5 "5̄"> <!-- bar 5 --> <!ENTITY bar6 "6̄"> <!-- bar 6 --> <!ENTITY bar7 "7̄"> <!-- bar 7 --> <!ENTITY bar8 "8̄"> <!-- bar 8 --> <!ENTITY bar9 "9̄"> <!-- bar 9 --> <!-- dotted characters (in maths) --> <!-- XXX The images for these are italic --> <!ENTITY dotA "Ȧ"> <!-- dot A --> <!ENTITY dotB "Ḃ"> <!-- dot B --> <!ENTITY dotC "Ċ"> <!-- dot C --> <!ENTITY dotD "Ḋ"> <!-- dot D --> <!ENTITY dotE "Ė"> <!-- dot E --> <!ENTITY dotF "Ḟ"> <!-- dot F --> <!ENTITY dotG "Ġ"> <!-- dot G --> <!ENTITY dotH "Ḣ"> <!-- dot H --> <!ENTITY dotI "İ"> <!-- dot I --> <!ENTITY dotJ "J̇"> <!-- dot J --> <!ENTITY dotK "K̇"> <!-- dot K --> <!ENTITY dotL "L̇"> <!-- dot L --> <!ENTITY dotM "Ṁ"> <!-- dot M --> <!ENTITY dotN "Ṅ"> <!-- dot N --> <!ENTITY dotO "Ȯ"> <!-- dot O --> <!ENTITY dotP "Ṗ"> <!-- dot P --> <!ENTITY dotQ "Q̇"> <!-- dot Q --> <!ENTITY dotR "Ṙ"> <!-- dot R --> <!ENTITY dotS "Ṡ"> <!-- dot S --> <!ENTITY dotT "Ṫ"> <!-- dot T --> <!ENTITY dotU "U̇"> <!-- dot U --> <!ENTITY dotV "V̇"> <!-- dot V --> <!ENTITY dotW "Ẇ"> <!-- dot W --> <!ENTITY dotX "Ẋ"> <!-- dot X --> <!ENTITY dotY "Ẏ"> <!-- dot Y --> <!ENTITY dotZ "Ż"> <!-- dot Z --> <!ENTITY dota "ȧ"> <!-- dot a --> <!ENTITY dotb "ḃ"> <!-- dot b --> <!ENTITY dotc "ċ"> <!-- dot c --> <!ENTITY dotd "ḋ"> <!-- dot d --> <!ENTITY dote "ė"> <!-- dot e --> <!ENTITY dotf "ḟ"> <!-- dot f --> <!ENTITY dotg "ġ"> <!-- dot g --> <!ENTITY doth "ḣ"> <!-- dot h --> <!ENTITY doti "i̇"> <!-- dot i --> <!ENTITY dotj "j̇"> <!-- dot j --> <!ENTITY dotk "k̇"> <!-- dot k --> <!ENTITY dotl "l̇"> <!-- dot l --> <!ENTITY dotm "ṁ"> <!-- dot m --> <!ENTITY dotn "ṅ"> <!-- dot n --> <!ENTITY doto "ȯ"> <!-- dot o --> <!ENTITY dotp "ṗ"> <!-- dot p --> <!ENTITY dotq "q̇"> <!-- dot q --> <!ENTITY dotr "ṙ"> <!-- dot r --> <!ENTITY dots "ṡ"> <!-- dot s --> <!ENTITY dott "ṫ"> <!-- dot t --> <!ENTITY dotu "u̇"> <!-- dot u --> <!ENTITY dotv "v̇"> <!-- dot v --> <!ENTITY dotw "ẇ"> <!-- dot w --> <!ENTITY dotx "ẋ"> <!-- dot x --> <!ENTITY doty "ẏ"> <!-- dot y --> <!ENTITY dotz "ż"> <!-- dot z --> <!ENTITY zdotacc "ż"> <!-- z dot --> <!ENTITY dotalpha "α̇"> <!-- dot alpha --> <!ENTITY dotbeta "β̇"> <!-- dot beta --> <!ENTITY dotgamma "γ̇"> <!-- dot gamma --> <!ENTITY dotdelta "δ̇"> <!-- dot delta --> <!ENTITY dotepsilon "ε̇"> <!-- dot epsilon --> <!ENTITY dotzeta "ζ̇"> <!-- dot zeta --> <!ENTITY doteta "η̇"> <!-- dot eta --> <!ENTITY dottheta "θ̇"> <!-- dot theta --> <!ENTITY dotiota "ι̇"> <!-- dot iota --> <!ENTITY dotkappa "κ̇"> <!-- dot kappa --> <!ENTITY dotlambda "λ̇"> <!-- dot lambda --> <!ENTITY dotmu "μ̇"> <!-- dot mu --> <!ENTITY dotnu "ν̇"> <!-- dot nu --> <!ENTITY dotxi "ξ̇"> <!-- dot xi --> <!ENTITY dotpi "π̇"> <!-- dot pi --> <!ENTITY dotrho "ρ̇"> <!-- dot rho --> <!ENTITY dotsigma "σ̇"> <!-- dot sigma --> <!ENTITY dottau "τ̇"> <!-- dot tau --> <!ENTITY dotupsilon "υ̇"> <!-- dot upsilon --> <!ENTITY dotphi "φ̇"> <!-- dot phi --> <!ENTITY dotchi "χ̇"> <!-- dot chi --> <!ENTITY dotpsi "ψ̇"> <!-- dot psi --> <!ENTITY dotomega "ω̇"> <!-- dot omega --> <!ENTITY dotvarepsilon "ϵ̇"> <!-- dot varepsilon --> <!ENTITY dotvartheta "ϑ̇"> <!-- dot vartheta --> <!ENTITY dotvarpi "ϖ̇"> <!-- dot varpi --> <!ENTITY dotvarrho "ϱ̇"> <!-- dot varrho --> <!ENTITY dotvarsigma "ς̇"> <!-- dot varsigma --> <!ENTITY dotvarphi "ϕ̇"> <!-- dot varphi --> <!ENTITY dotpartial "&partial;̇"> <!-- dot partial --> <!ENTITY dotell "ℓ̇"> <!-- dot ell --> <!ENTITY dotnabla "∇̇"> <!-- dot nabla --> <!-- tilde characters (in maths) added 4/10 by Jo --> <!-- XXX The images for these are italic --> <!ENTITY tildeA "Ã"> <!-- tilde A --> <!ENTITY tildeB "B̃"> <!-- tilde B --> <!ENTITY tildeC "C̃"> <!-- tilde C --> <!ENTITY tildeD "D̃"> <!-- tilde D --> <!ENTITY tildeE "Ẽ"> <!-- tilde E --> <!ENTITY tildeF "F̃"> <!-- tilde F --> <!ENTITY tildeG "G̃"> <!-- tilde G --> <!ENTITY tildeH "H̃"> <!-- tilde H --> <!ENTITY tildeI "Ĩ"> <!-- tilde I --> <!ENTITY tildeJ "J̃"> <!-- tilde J --> <!ENTITY tildeK "K̃"> <!-- tilde K --> <!ENTITY tildeL "L̃"> <!-- tilde L --> <!ENTITY tildeM "M̃"> <!-- tilde M --> <!ENTITY tildeN "Ñ"> <!-- tilde N --> <!ENTITY tildeO "Õ"> <!-- tilde O --> <!ENTITY tildeP "P̃"> <!-- tilde P --> <!ENTITY tildeQ "Q̃"> <!-- tilde Q --> <!ENTITY tildeR "R̃"> <!-- tilde R --> <!ENTITY tildeS "S̃"> <!-- tilde S --> <!ENTITY tildeT "T̃"> <!-- tilde T --> <!ENTITY tildeU "Ũ"> <!-- tilde U --> <!ENTITY tildeV "Ṽ"> <!-- tilde V --> <!ENTITY tildeW "W̃"> <!-- tilde W --> <!ENTITY tildeX "X̃"> <!-- tilde X --> <!ENTITY tildeY "Ỹ"> <!-- tilde Y --> <!ENTITY tildeZ "Z̃"> <!-- tilde Z --> <!ENTITY tildea "ã"> <!-- tilde a --> <!ENTITY tildeb "b̃"> <!-- tilde b --> <!ENTITY tildec "c̃"> <!-- tilde c --> <!ENTITY tilded "d̃"> <!-- tilde d --> <!ENTITY tildee "ẽ"> <!-- tilde e --> <!ENTITY tildef "f̃"> <!-- tilde f --> <!ENTITY tildeg "g̃"> <!-- tilde g --> <!ENTITY tildeh "h̃"> <!-- tilde h --> <!ENTITY tildei "ĩ"> <!-- tilde i --> <!ENTITY tildej "j̃"> <!-- tilde j --> <!ENTITY tildek "k̃"> <!-- tilde k --> <!ENTITY tildel "l̃"> <!-- tilde l --> <!ENTITY tildem "m̃"> <!-- tilde m --> <!ENTITY tilden "ñ"> <!-- tilde n --> <!ENTITY tildeo "õ"> <!-- tilde o --> <!ENTITY tildep "p̃"> <!-- tilde p --> <!ENTITY tildeq "q̃"> <!-- tilde q --> <!ENTITY tilder "r̃"> <!-- tilde r --> <!ENTITY tildes "s̃"> <!-- tilde s --> <!ENTITY tildet "t̃"> <!-- tilde t --> <!ENTITY tildeu "ũ"> <!-- tilde u --> <!ENTITY tildev "ṽ"> <!-- tilde v --> <!ENTITY tildew "w̃"> <!-- tilde w --> <!ENTITY tildex "x̃"> <!-- tilde x --> <!ENTITY tildey "ỹ"> <!-- tilde y --> <!ENTITY tildez "z̃"> <!-- tilde z --> <!ENTITY tildeGamma "Γ̃"> <!-- tilde Gamma --> <!ENTITY tildeDelta "Δ̃"> <!-- tilde Delta --> <!ENTITY tildeTheta "Θ̃"> <!-- tilde Theta --> <!ENTITY tildeLambda "Λ̃"> <!-- tilde Lambda --> <!ENTITY tildeXi "Ξ̃"> <!-- tilde Xi --> <!ENTITY tildePi "Π̃"> <!-- tilde Pi --> <!ENTITY tildeSigma "Σ̃"> <!-- tilde Sigma --> <!ENTITY tildeUpsilon "Υ̃"> <!-- tilde Upsilon --> <!ENTITY tildePhi "Φ̃"> <!-- tilde Phi --> <!ENTITY tildePsi "Ψ̃"> <!-- tilde Psi --> <!ENTITY tildeOmega "Ω̃"> <!-- tilde Omega --> <!ENTITY tildealpha "α̃"> <!-- tilde alpha --> <!ENTITY tildebeta "β̃"> <!-- tilde beta --> <!ENTITY tildegamma "γ̃"> <!-- tilde gamma --> <!ENTITY tildedelta "δ̃"> <!-- tilde delta --> <!ENTITY tildeepsilon "ε̃"> <!-- tilde epsilon --> <!ENTITY tildezeta "ζ̃"> <!-- tilde zeta --> <!ENTITY tildeeta "η̃"> <!-- tilde eta --> <!ENTITY tildetheta "θ̃"> <!-- tilde theta --> <!ENTITY tildeiota "ι̃"> <!-- tilde iota --> <!ENTITY tildekappa "κ̃"> <!-- tilde kappa --> <!ENTITY tildelambda "λ̃"> <!-- tilde lambda --> <!ENTITY tildemu "μ̃"> <!-- tilde mu --> <!ENTITY tildenu "ν̃"> <!-- tilde nu --> <!ENTITY tildexi "ξ̃"> <!-- tilde xi --> <!ENTITY tildepi "π̃"> <!-- tilde pi --> <!ENTITY tilderho "ρ̃"> <!-- tilde rho --> <!ENTITY tildesigma "σ̃"> <!-- tilde sigma --> <!ENTITY tildetau "τ̃"> <!-- tilde tau --> <!ENTITY tildeupsilon "υ̃"> <!-- tilde upsilon --> <!ENTITY tildephi "φ̃"> <!-- tilde phi --> <!ENTITY tildechi "χ̃"> <!-- tilde chi --> <!ENTITY tildepsi "ψ̃"> <!-- tilde psi --> <!ENTITY tildeomega "ω̃"> <!-- tilde omega --> <!ENTITY tildevarepsilon "ϵ̃"> <!-- tilde varepsilon --> <!ENTITY tildevartheta "ϑ̃"> <!-- tilde vartheta --> <!ENTITY tildevarpi "ϖ̃"> <!-- tilde varpi --> <!ENTITY tildevarrho "ϱ̃"> <!-- tilde varrho --> <!ENTITY tildevarsigma "ς̃"> <!-- tilde varsigma --> <!ENTITY tildevarphi "ϕ̃"> <!-- tilde varphi --> <!-- upright --> <!ENTITY tilde0 "0̃"> <!-- 0 with tilde --> <!ENTITY tilde1 "1̃"> <!-- 1 with tilde --> <!ENTITY tilde2 "2̃"> <!-- 2 with tilde --> <!ENTITY tilde3 "3̃"> <!-- 3 with tilde --> <!ENTITY tilde4 "4̃"> <!-- 4 with tilde --> <!ENTITY tilde5 "5̃"> <!-- 5 with tilde --> <!ENTITY tilde6 "6̃"> <!-- 6 with tilde --> <!ENTITY tilde7 "7̃"> <!-- 7 with tilde --> <!ENTITY tilde8 "8̃"> <!-- 8 with tilde --> <!ENTITY tilde9 "9̃"> <!-- 9 with tilde --> <!-- hatted characters (in maths) --> <!-- XXX The images for these are italic, of course --> <!ENTITY hatA "Â"> <!-- hat A --> <!ENTITY hatB "B̂"> <!-- hat B --> <!ENTITY hatC "Ĉ"> <!-- hat C --> <!ENTITY hatD "D̂"> <!-- hat D --> <!ENTITY hatE "Ê"> <!-- hat E --> <!ENTITY hatF "F̂"> <!-- hat F --> <!ENTITY hatG "Ĝ"> <!-- hat G --> <!ENTITY hatH "Ĥ"> <!-- hat H --> <!ENTITY hatI "Î"> <!-- hat I --> <!ENTITY hatJ "Ĵ"> <!-- hat J --> <!ENTITY hatK "K̂"> <!-- hat K --> <!ENTITY hatL "L̂"> <!-- hat L --> <!ENTITY hatM "M̂"> <!-- hat M --> <!ENTITY hatN "N̂"> <!-- hat N --> <!ENTITY hatO "Ô"> <!-- hat O --> <!ENTITY hatP "P̂"> <!-- hat P --> <!ENTITY hatQ "Q̂"> <!-- hat Q --> <!ENTITY hatR "R̂"> <!-- hat R --> <!ENTITY hatS "Ŝ"> <!-- hat S --> <!ENTITY hatT "T̂"> <!-- hat T --> <!ENTITY hatU "Û"> <!-- hat U --> <!ENTITY hatV "V̂"> <!-- hat V --> <!ENTITY hatW "Ŵ"> <!-- hat W --> <!ENTITY hatX "X̂"> <!-- hat X --> <!ENTITY hatY "Ŷ"> <!-- hat Y --> <!ENTITY hatZ "Ẑ"> <!-- hat Z --> <!ENTITY hata "â"> <!-- hat a --> <!ENTITY hatb "b̂"> <!-- hat b --> <!ENTITY hatc "ĉ"> <!-- hat c --> <!ENTITY hatd "d̂"> <!-- hat d --> <!ENTITY hate "ê"> <!-- hat e --> <!ENTITY hatf "f̂"> <!-- hat f --> <!ENTITY hatg "ĝ"> <!-- hat g --> <!ENTITY hath "ĥ"> <!-- hat h --> <!ENTITY hati "î"> <!-- hat i --> <!ENTITY hatj "ĵ"> <!-- hat j --> <!ENTITY hatk "k̂"> <!-- hat k --> <!ENTITY hatl "l̂"> <!-- hat l --> <!ENTITY hatm "m̂"> <!-- hat m --> <!ENTITY hatn "n̂"> <!-- hat n --> <!ENTITY hato "ô"> <!-- hat o --> <!ENTITY hatp "p̂"> <!-- hat p --> <!ENTITY hatq "q̂"> <!-- hat q --> <!ENTITY hatr "r̂"> <!-- hat r --> <!ENTITY hats "ŝ"> <!-- hat s --> <!ENTITY hatt "t̂"> <!-- hat t --> <!ENTITY hatu "û"> <!-- hat u --> <!ENTITY hatv "v̂"> <!-- hat v --> <!ENTITY hatw "ŵ"> <!-- hat w --> <!ENTITY hatx "x̂"> <!-- hat x --> <!ENTITY haty "ŷ"> <!-- hat y --> <!ENTITY hatz "ẑ"> <!-- hat z --> <!ENTITY hatGamma "Γ̂"> <!-- hat Gamma --> <!ENTITY hatDelta "Δ̂"> <!-- hat Delta --> <!ENTITY hatTheta "Θ̂"> <!-- hat Theta --> <!ENTITY hatXi "Ξ̂"> <!-- hat Xi --> <!ENTITY hatPi "Π̂"> <!-- hat Pi --> <!ENTITY hatSigma "Σ̂"> <!-- hat Sigma --> <!ENTITY hatUpsilon "Υ̂"> <!-- hat Upsilon --> <!ENTITY hatPhi "Φ̂"> <!-- hat Phi --> <!ENTITY hatPsi "Ψ̂"> <!-- hat Psi --> <!ENTITY hatOmega "Ω̂"> <!-- hat Omega --> <!ENTITY hatalpha "α̂"> <!-- hat alpha --> <!ENTITY hatbeta "β̂"> <!-- hat beta --> <!ENTITY hatgamma "γ̂"> <!-- hat gamma --> <!ENTITY hatdelta "δ̂"> <!-- hat delta --> <!ENTITY hatepsilon "ε̂"> <!-- hat epsilon --> <!ENTITY hatzeta "ζ̂"> <!-- hat zeta --> <!ENTITY hateta "η̂"> <!-- hat eta --> <!ENTITY hattheta "θ̂"> <!-- hat theta --> <!ENTITY hatiota "ι̂"> <!-- hat iota --> <!ENTITY hatkappa "κ̂"> <!-- hat kappa --> <!ENTITY hatlambda "λ̂"> <!-- hat lambda --> <!ENTITY hatmu "μ̂"> <!-- hat mu --> <!ENTITY hatnu "ν̂"> <!-- hat nu --> <!ENTITY hatxi "ξ̂"> <!-- hat xi --> <!ENTITY hatpi "π̂"> <!-- hat pi --> <!ENTITY hatrho "ρ̂"> <!-- hat rho --> <!ENTITY hatsigma "σ̂"> <!-- hat sigma --> <!ENTITY hattau "τ̂"> <!-- hat tau --> <!ENTITY hatupsilon "υ̂"> <!-- hat upsilon --> <!ENTITY hatphi "φ̂"> <!-- hat phi --> <!ENTITY hatchi "χ̂"> <!-- hat chi --> <!ENTITY hatpsi "ψ̂"> <!-- hat psi --> <!ENTITY hatomega "ω̂"> <!-- hat omega --> <!ENTITY hatvarepsilon "ϵ̂"> <!-- hat varepsilon --> <!ENTITY hatvartheta "ϑ̂"> <!-- hat vartheta --> <!ENTITY hatvarpi "ϖ̂"> <!-- hat varpi --> <!ENTITY hatvarrho "ϱ̂"> <!-- hat varrho --> <!ENTITY hatvarsigma "ς̂"> <!-- hat varsigma --> <!ENTITY hatvarphi "ϕ̂"> <!-- hat varphi --> <!ENTITY hatell "ℓ̂"> <!-- script l with hat --> <!ENTITY hatimath "ı̂"> <!-- dotless i with hat --> <!ENTITY hatjmath "ȷ̂"> <!-- dotless j with hat --> <!ENTITY hatpartial "&partial;̂"> <!-- partial d. with hat --> <!-- These are upright --> <!ENTITY hat0 "0̂"> <!-- hat 0 --> <!ENTITY hat1 "1̂"> <!-- hat 1 --> <!ENTITY hat2 "2̂"> <!-- hat 2 --> <!ENTITY hat3 "3̂"> <!-- hat 3 --> <!ENTITY hat4 "4̂"> <!-- hat 4 --> <!ENTITY hat5 "5̂"> <!-- hat 5 --> <!ENTITY hat6 "6̂"> <!-- hat 6 --> <!ENTITY hat7 "7̂"> <!-- hat 7 --> <!ENTITY hat8 "8̂"> <!-- hat 8 --> <!ENTITY hat9 "9̂"> <!-- hat 9 --> <!-- Bold characters with hats --> <!ENTITY bhatA "𝐀̂"> <!-- bold hat A --> <!ENTITY bhatB "𝐁̂"> <!-- bold hat B --> <!ENTITY bhatC "𝐂̂"> <!-- bold hat C --> <!ENTITY bhatD "𝐃̂"> <!-- bold hat D --> <!ENTITY bhatE "𝐄̂"> <!-- bold hat E --> <!ENTITY bhatF "𝐅̂"> <!-- bold hat F --> <!ENTITY bhatG "𝐆̂"> <!-- bold hat G --> <!ENTITY bhatH "𝐇̂"> <!-- bold hat H --> <!ENTITY bhatI "𝐈̂"> <!-- bold hat I --> <!ENTITY bhatJ "𝐉̂"> <!-- bold hat J --> <!ENTITY bhatK "𝐊̂"> <!-- bold hat K --> <!ENTITY bhatL "𝐋̂"> <!-- bold hat L --> <!ENTITY bhatM "𝐌̂"> <!-- bold hat M --> <!ENTITY bhatN "𝐍̂"> <!-- bold hat N --> <!ENTITY bhatO "𝐎̂"> <!-- bold hat O --> <!ENTITY bhatP "𝐏̂"> <!-- bold hat P --> <!ENTITY bhatQ "𝐐̂"> <!-- bold hat Q --> <!ENTITY bhatR "𝐑̂"> <!-- bold hat R --> <!ENTITY bhatS "𝐒̂"> <!-- bold hat S --> <!ENTITY bhatT "𝐓̂"> <!-- bold hat T --> <!ENTITY bhatU "𝐔̂"> <!-- bold hat U --> <!ENTITY bhatV "𝐕̂"> <!-- bold hat V --> <!ENTITY bhatW "𝐖̂"> <!-- bold hat W --> <!ENTITY bhatX "𝐗̂"> <!-- bold hat X --> <!ENTITY bhatY "𝐘̂"> <!-- bold hat Y --> <!ENTITY bhatZ "𝐙̂"> <!-- bold hat Z --> <!ENTITY bhata "𝐚̂"> <!-- bold hat a --> <!ENTITY bhatb "𝐛̂"> <!-- bold hat b --> <!ENTITY bhatc "𝐜̂"> <!-- bold hat c --> <!ENTITY bhatd "𝐝̂"> <!-- bold hat d --> <!ENTITY bhate "𝐞̂"> <!-- bold hat e --> <!ENTITY bhatf "𝐟̂"> <!-- bold hat f --> <!ENTITY bhatg "𝐠̂"> <!-- bold hat g --> <!ENTITY bhath "𝐡̂"> <!-- bold hat h --> <!ENTITY bhati "𝐢̂"> <!-- bold hat i --> <!ENTITY bhatj "𝐣̂"> <!-- bold hat j --> <!ENTITY bhatk "𝐤̂"> <!-- bold hat k --> <!ENTITY bhatl "𝐥̂"> <!-- bold hat l --> <!ENTITY bhatm "𝐦̂"> <!-- bold hat m --> <!ENTITY bhatn "𝐧̂"> <!-- bold hat n --> <!ENTITY bhato "𝐨̂"> <!-- bold hat o --> <!ENTITY bhatp "𝐩̂"> <!-- bold hat p --> <!ENTITY bhatq "𝐪̂"> <!-- bold hat q --> <!ENTITY bhatr "𝐫̂"> <!-- bold hat r --> <!ENTITY bhats "𝐬̂"> <!-- bold hat s --> <!ENTITY bhatt "𝐭̂"> <!-- bold hat t --> <!ENTITY bhatu "𝐮̂"> <!-- bold hat u --> <!ENTITY bhatv "𝐯̂"> <!-- bold hat v --> <!ENTITY bhatw "𝐰̂"> <!-- bold hat w --> <!ENTITY bhatx "𝐱̂"> <!-- bold hat x --> <!ENTITY bhaty "𝐲̂"> <!-- bold hat y --> <!ENTITY bhatz "𝐳̂"> <!-- bold hat z --> <!ENTITY overline0 "0̅"> <!ENTITY overline1 "1̅"> <!ENTITY overline2 "2̅"> <!ENTITY overline3 "3̅"> <!ENTITY overline4 "4̅"> <!ENTITY overline5 "5̅"> <!ENTITY overline6 "6̅"> <!ENTITY overline7 "7̅"> <!ENTITY overline8 "8̅"> <!ENTITY overline9 "9̅"> <!-- Vectors; characters with over arrow --> <!-- XXX Again, the existing images are all italic --> <!ENTITY vecA "A⃗"> <!-- vec A --> <!ENTITY vecB "B⃗"> <!-- vec B --> <!ENTITY vecC "C⃗"> <!-- vec C --> <!ENTITY vecD "D⃗"> <!-- vec D --> <!ENTITY vecE "E⃗"> <!-- vec E --> <!ENTITY vecF "F⃗"> <!-- vec F --> <!ENTITY vecG "G⃗"> <!-- vec G --> <!ENTITY vecH "H⃗"> <!-- vec H --> <!ENTITY vecI "I⃗"> <!-- vec I --> <!ENTITY vecJ "J⃗"> <!-- vec J --> <!ENTITY vecK "K⃗"> <!-- vec K --> <!ENTITY vecL "L⃗"> <!-- vec L --> <!ENTITY vecM "M⃗"> <!-- vec M --> <!ENTITY vecN "N⃗"> <!-- vec N --> <!ENTITY vecO "O⃗"> <!-- vec O --> <!ENTITY vecP "P⃗"> <!-- vec P --> <!ENTITY vecQ "Q⃗"> <!-- vec Q --> <!ENTITY vecR "R⃗"> <!-- vec R --> <!ENTITY vecS "S⃗"> <!-- vec S --> <!ENTITY vecT "T⃗"> <!-- vec T --> <!ENTITY vecU "U⃗"> <!-- vec U --> <!ENTITY vecV "V⃗"> <!-- vec V --> <!ENTITY vecW "W⃗"> <!-- vec W --> <!ENTITY vecX "X⃗"> <!-- vec X --> <!ENTITY vecY "Y⃗"> <!-- vec Y --> <!ENTITY vecZ "Z⃗"> <!-- vec Z --> <!ENTITY veca "a⃗"> <!-- vec a --> <!ENTITY vecb "b⃗"> <!-- vec b --> <!ENTITY vecc "c⃗"> <!-- vec c --> <!ENTITY vecd "d⃗"> <!-- vec d --> <!ENTITY vece "e⃗"> <!-- vec e --> <!ENTITY vecf "f⃗"> <!-- vec f --> <!ENTITY vecg "g⃗"> <!-- vec g --> <!ENTITY vech "h⃗"> <!-- vec h --> <!ENTITY veci "i⃗"> <!-- vec i --> <!ENTITY vecj "j⃗"> <!-- vec j --> <!ENTITY veck "k⃗"> <!-- vec k --> <!ENTITY vecl "l⃗"> <!-- vec l --> <!ENTITY vecm "m⃗"> <!-- vec m --> <!ENTITY vecn "n⃗"> <!-- vec n --> <!ENTITY veco "o⃗"> <!-- vec o --> <!ENTITY vecp "p⃗"> <!-- vec p --> <!ENTITY vecq "q⃗"> <!-- vec q --> <!ENTITY vecr "r⃗"> <!-- vec r --> <!ENTITY vecs "s⃗"> <!-- vec s --> <!ENTITY vect "t⃗"> <!-- vec t --> <!ENTITY vecu "u⃗"> <!-- vec u --> <!ENTITY vecv "v⃗"> <!-- vec v --> <!ENTITY vecw "w⃗"> <!-- vec w --> <!ENTITY vecx "x⃗"> <!-- vec x --> <!ENTITY vecy "y⃗"> <!-- vec y --> <!ENTITY vecz "z⃗"> <!-- vec z --> <!-- upright --> <!ENTITY vec0 "0⃗"> <!-- vec 0 --> <!ENTITY vec1 "1⃗"> <!-- vec 1 --> <!ENTITY vec2 "2⃗"> <!-- vec 2 --> <!ENTITY vec3 "3⃗"> <!-- vec 3 --> <!ENTITY vec4 "4⃗"> <!-- vec 4 --> <!ENTITY vec5 "5⃗"> <!-- vec 5 --> <!ENTITY vec6 "6⃗"> <!-- vec 6 --> <!ENTITY vec7 "7⃗"> <!-- vec 7 --> <!ENTITY vec8 "8⃗"> <!-- vec 8 --> <!ENTITY vec9 "9⃗"> <!-- vec 9 --> <!-- XXX italic --> <!ENTITY vecalpha "α⃗"> <!-- vec alpha --> <!ENTITY vecbeta "β⃗"> <!-- vec beta --> <!ENTITY vecgamma "γ⃗"> <!-- vec gamma --> <!ENTITY vecdelta "δ⃗"> <!-- vec delta --> <!ENTITY vecepsilon "ε⃗"> <!-- vec epsilon --> <!ENTITY veczeta "ζ⃗"> <!-- vec zeta --> <!ENTITY veceta "η⃗"> <!-- vec eta --> <!ENTITY vectheta "θ⃗"> <!-- vec theta --> <!ENTITY veciota "ι⃗"> <!-- vec iota --> <!ENTITY veckappa "κ⃗"> <!-- vec kappa --> <!ENTITY veclambda "λ⃗"> <!-- vec lambda --> <!ENTITY vecmu "μ⃗"> <!-- vec mu --> <!ENTITY vecnu "ν⃗"> <!-- vec nu --> <!ENTITY vecxi "ξ⃗"> <!-- vec xi --> <!ENTITY vecpi "π⃗"> <!-- vec pi --> <!ENTITY vecrho "ρ⃗"> <!-- vec rho --> <!ENTITY vecsigma "σ⃗"> <!-- vec sigma --> <!ENTITY vectau "τ⃗"> <!-- vec tau --> <!ENTITY vecupsilon "υ⃗"> <!-- vec upsilon --> <!ENTITY vecphi "φ⃗"> <!-- vec phi --> <!ENTITY vecchi "χ⃗"> <!-- vec chi --> <!ENTITY vecpsi "ψ⃗"> <!-- vec psi --> <!ENTITY vecomega "ω⃗"> <!-- vec omega --> <!ENTITY vecvarepsilon "ϵ⃗"> <!-- vec varepsilon --> <!ENTITY vecvartheta "ϑ⃗"> <!-- vec vartheta --> <!ENTITY vecvarpi "ϖ⃗"> <!-- vec varpi --> <!ENTITY vecvarrho "ϱ⃗"> <!-- vec varrho --> <!ENTITY vecvarsigma "ς⃗"> <!-- vec varsigma --> <!ENTITY vecvarphi "ϕ⃗"> <!-- vec varphi --> <!ENTITY vecpartial "&partial;⃗"> <!-- vec partial --> <!ENTITY vecell "ℓ⃗"> <!-- vec ell --> <!ENTITY vecimath "ı⃗"> <!-- vec imath --> <!ENTITY vecjmath "ȷ⃗"> <!-- vec jmath --> <!ENTITY vecnabla "∇⃗"> <!-- vec nabla --> <!ENTITY S "§"> <!-- section sign --> <!ENTITY P "¶"> <!-- paragraph sign --> <!ENTITY hash "#"> <!-- hash --> <!ENTITY Angstrom "Å"> <!-- Angstrom sign --> <!ENTITY quarter "¼"> <!-- 1/4 --> <!ENTITY threequarter "¾"> <!-- 3/4 --> <!ENTITY threehalves "3⁄2"> <!-- 3/2 --> <!ENTITY fivehalves "5⁄2"> <!-- 5/2 --> <!ENTITY sevenhalves "7⁄2"> <!-- 7/2 --> <!ENTITY ninehalves "9⁄2"> <!-- 9/2 --> <!ENTITY degree "°"> <!-- degree sign --> <!ENTITY ldots "…"> <!-- ellipsis --> <!ENTITY cdots "⋯"> <!-- central ellipsis --> <!ENTITY cdot "⋅"> <!-- central dot, despite Latin-2 --> <!-- IOP defined LaTeX entities --> <!ENTITY ddiff "d"> <!-- Upright "d" for differential d --> <!ENTITY eexp "e"> <!-- Upright "e" for exponential e --> <!ENTITY iimg "i"> <!-- Upright "i" for imaginary i --> <!ENTITY Tr "Tr"> <!-- Upright "Tr" for Trace --> <!ENTITY tr "tr"> <!-- Upright "tr" for trace --> <!ENTITY re "Re"> <!-- Upright "Re" for real --> <!ENTITY im "Im"> <!-- Upright "Im" for imaginary --> <!-- Greek letters --> <!ENTITY Upsilon "Υ"> <!ENTITY Chi "Χ"> <!ENTITY epsilon "ϵ"> <!-- straight epsilon --> <!ENTITY varepsilon "ε"> <!-- curly epsilon --> <!ENTITY theta "θ"> <!ENTITY omicron "ο"> <!ENTITY vartheta "ϑ"> <!ENTITY varpi "ϖ"> <!ENTITY varrho "ϱ"> <!ENTITY varsigma "ϛ"> <!ENTITY upsilon "υ"> <!ENTITY phi "ϕ"> <!ENTITY varphi "φ"> <!-- Bold Greek letters --> <!ENTITY bGamma "𝚪"> <!ENTITY bDelta "𝚫"> <!ENTITY bTheta "𝚯"> <!ENTITY bLambda "𝚲"> <!ENTITY bXi "𝚵"> <!ENTITY bPi "𝚸"> <!ENTITY bSigma "𝚺"> <!ENTITY bUpsilon "𝚼"> <!ENTITY bPhi "𝚽"> <!ENTITY bPsi "𝚿"> <!ENTITY bOmega "𝛀"> <!ENTITY bnabla "𝛁"> <!ENTITY balpha "𝛂"> <!ENTITY bbeta "𝛃"> <!ENTITY bgamma "𝛄"> <!ENTITY bdelta "𝛅"> <!ENTITY bepsilon "𝛜"> <!-- bold straight epsilon --> <!ENTITY bvarepsilon "𝛆"> <!-- bold curly epsilon --> <!ENTITY bzeta "𝛇"> <!ENTITY bfeta "𝛈"> <!ENTITY btheta "𝛉"> <!ENTITY bvartheta "𝛉"> <!-- XXX --> <!ENTITY biota "𝛊"> <!ENTITY bkappa "𝛋"> <!ENTITY blambda "𝛌"> <!ENTITY bmu "𝛍"> <!ENTITY bnu "𝛎"> <!ENTITY bxi "𝛏"> <!ENTITY bpi "𝛑"> <!ENTITY bvarpi "𝛡"> <!ENTITY brho "𝛒"> <!ENTITY bvarrho "𝛠"> <!ENTITY bsigma "𝛔"> <!ENTITY bvarsigma "𝛓"> <!-- bold final sigma --> <!ENTITY btau "𝛕"> <!ENTITY bupsilon "𝛖"> <!ENTITY bphi "𝛟"> <!ENTITY bvarphi "𝛗"> <!ENTITY bchi "𝛘"> <!ENTITY bpsi "𝛙"> <!ENTITY bomega "𝛚"> <!-- Miscellaneous maths characters --> <!ENTITY hbar "ℏ"> <!-- Planck's constant over 2 pi --> <!ENTITY imath "𝚤"> <!-- Dotless i --> <!ENTITY bimath "ı"> <!-- (bold) imath --> <!ENTITY jmath "𝚥"> <!-- Dotless j --> <!ENTITY bjmath "ȷ"> <!-- (bold) jmath --> <!ENTITY wp "℘"> <!-- Weierstrass p --> <!ENTITY Re "ℜ"> <!-- Real --> <!ENTITY Im "ℑ"> <!-- Imaginary --> <!ENTITY partial "∂"> <!-- Partial differential --> <!ENTITY bpartial "𝛛"> <!-- bold partial differential d --> <!ENTITY infty "∞"> <!-- Infinity --> <!ENTITY binfty "&infty;"> <!-- (bold) infinity --> <!ENTITY emptyset "∅"> <!-- Empty set --> <!ENTITY surd "√"> <!-- Square root --> <!ENTITY bot "⊥"> <!-- Bottom --> <!ENTITY Vert "||"> <!ENTITY vert "|"> <!ENTITY angle "∠"> <!-- Angle --> <!ENTITY triangle "△"> <!-- Triangle --> <!ENTITY backslash "\"> <!-- Backslash --> <!ENTITY exists "∃"> <!-- There exists --> <!ENTITY neg "¬"> <!-- Negation --> <!ENTITY lnot "¬"> <!-- Logicl not --> <!ENTITY natural "♮"> <!-- Musical natural sign --> <!ENTITY clubsuit "♣"> <!-- Black club suit --> <!ENTITY diamondsuit "♢"> <!-- White diamond suit --> <!ENTITY heartsuit "♡"> <!-- White diamond suit --> <!ENTITY spadesuit "♠"> <!-- Black spade suit --> <!ENTITY oint "∮"> <!-- Countour integral --> <!-- XXX None of these codepoints are actually large, necessarily --> <!ENTITY bigcap "∩"> <!-- Large intersection --> <!ENTITY bigcup "∪"> <!-- Large union --> <!ENTITY bigsqcup "⊔"> <!-- Large square union --> <!ENTITY bigvee "∨"> <!-- Large logical or --> <!ENTITY bigwedge "∧"> <!-- Large logical and --> <!ENTITY bigodot "⊙"> <!-- Large circled dot --> <!-- Binary operations --> <!ENTITY mp "∓"> <!-- Minus or plus --> <!ENTITY pm "±"> <!-- Plus or minus --> <!ENTITY setminus "∖"> <!-- Set minus --> <!ENTITY diamond "♢"> <!-- White diamond --> <!ENTITY bullet "•"> <!-- Bullet --> <!ENTITY div "÷"> <!-- Division --> <!ENTITY triangleleft "◃"> <!-- Left pointing triangle --> <!ENTITY triangleright "▹"> <!-- Right pointing triangle --> <!ENTITY wr "≀"> <!-- Wreath product --> <!ENTITY bigcirc "◯"> <!-- Large circle --> <!ENTITY bigtriangleup "△"> <!-- Large up pointing triangle --> <!ENTITY bigtriangledown "▽"> <!-- Large down pointing triangle --> <!ENTITY vee "∨"> <!-- Logical or --> <!ENTITY lor "∨"> <!-- Logical or --> <!ENTITY wedge "∧"> <!-- Logical and --> <!ENTITY land "∧"> <!-- Logical and --> <!ENTITY circle "○"> <!-- White circle --> <!ENTITY oslashed "⊘"> <!-- Slashed circle --> <!ENTITY dag "†"> <!-- Dagger --> <!ENTITY ddagger "‡"> <!-- Double dagger --> <!ENTITY ddag "‡"> <!-- Double dagger --> <!-- Relations --> <!ENTITY leq "⩽"> <!-- less than or slanted equal --> <!ENTITY geq "⩾"> <!-- greater than or slanted equal --> <!ENTITY leqq "≦"> <!-- less than over equal --> <!ENTITY geqq "≧"> <!-- gtr than over equal --> <!ENTITY leqslant "⩽"> <!-- less than or slant equal --> <!ENTITY geqslant "⩾"> <!-- gtr than or slant equal --> <!ENTITY eqslantless "⪕"> <!-- less than or slant equal above --> <!ENTITY eqslantgtr "⪖"> <!-- gtr than or slant equal above --> <!ENTITY lesssim "≲"> <!-- less than or equivalent --> <!ENTITY gtrsim "≳"> <!-- gtr than or equivalent --> <!ENTITY lessapprox "⪅"> <!-- less than or approximate --> <!ENTITY gtrapprox "⪆"> <!-- gtr then or approximate --> <!ENTITY lessdot "⋖"> <!-- less than with dot --> <!ENTITY gtrdot "⋗"> <!-- gtr than with dot --> <!ENTITY muchlt "≪"> <!-- much less than --> <!ENTITY muchgt "≫"> <!-- much greater than --> <!ENTITY ll "≪"> <!-- double less than --> <!ENTITY gg "≫"> <!-- double greater than --> <!ENTITY lll "⋘"> <!-- triple less than --> <!ENTITY ggg "⋙"> <!-- triple gtr than --> <!ENTITY llless "⋘"> <!-- triple less than --> <!ENTITY gggtr "⋙"> <!-- triple gtr than --> <!ENTITY lessgtr "≶"> <!-- less than or greater than --> <!ENTITY gtrless "≷"> <!-- gtr than or less than --> <!ENTITY lesseqgtr "⋚"> <!-- less than equal or greater than --> <!ENTITY gtreqless "⋛"> <!-- gtr than equal or less than --> <!ENTITY lesseqqgtr "⪋"> <!-- less dbl equal or greater --> <!ENTITY gtreqqless "⪋"> <!-- gtr dbl equal or less than --> <!ENTITY bumpeq "≏"> <!-- equals with bump above --> <!ENTITY Bumpeq "≎"> <!-- equals with bump above + below --> <!ENTITY eqcirc "≖"> <!-- equals with circle inside --> <!ENTITY circeq "≗"> <!-- equals with circle above --> <!ENTITY doteq "≐"> <!-- dot over equal --> <!ENTITY Doteq "≑"> <!-- equal with dot above and below --> <!ENTITY doteqdot "≑"> <!-- equal with dot above and below --> <!ENTITY risingdotseq "≓"> <!-- equal with dot NE and SW --> <!ENTITY fallingdotseq "≒"> <!-- equal with dot NW and SE --> <!ENTITY backsim "∽"> <!-- reversed tilde --> <!ENTITY backsimeq "⋍"> <!-- reversed tilde equals --> <!ENTITY thicksim "∼"> <!-- thick similar --> <!ENTITY thickapprox "≈"> <!-- thick approximate --> <!ENTITY approxeq "≊"> <!-- approximately equal --> <!ENTITY triangleq "≜"> <!-- equals with triangle above --> <!ENTITY varpropto "∝"> <!-- proportional to variant --> <!ENTITY prec "≺"> <!-- precedes --> <!ENTITY succ "≻"> <!-- succeeds --> <!ENTITY preceq "⪯"> <!-- precedes or equal --> <!ENTITY succeq "⪰"> <!-- succeeds or equal --> <!ENTITY preccurlyeq "≼"> <!-- precedes or curly equal --> <!ENTITY succcurlyeq "≽"> <!-- succeeds or curly equal --> <!ENTITY curlyeqprec "⋞"> <!-- equal or precedes --> <!ENTITY curlyeqsucc "⋟"> <!-- equal or succeeds --> <!ENTITY precsim "≾"> <!-- precedes or equivalent --> <!ENTITY succsim "≿"> <!-- succeeds or equivalent --> <!ENTITY precapprox "⪷"> <!-- precedes or approximate --> <!ENTITY succapprox "⪸"> <!-- succeeds or approximate --> <!ENTITY subset "⊂"> <!-- subset --> <!ENTITY supset "⊃"> <!-- superset --> <!ENTITY subseteq "⊆"> <!-- subset or equal --> <!ENTITY supseteq "⊇"> <!-- superset or equal --> <!ENTITY sqsubseteq "⊑"> <!-- square subset or equal --> <!ENTITY sqsupseteq "⊒"> <!-- square superset or equal --> <!ENTITY subseteqq "⫅"> <!-- subset over equals --> <!ENTITY supseteqq "⫆"> <!-- superset over equals --> <!ENTITY sqsubset "⊏"> <!-- square subset --> <!ENTITY Subset "⋐"> <!-- double subset --> <!ENTITY Supset "⋑"> <!-- double superset --> <!ENTITY sqsupset "⊐"> <!-- square superset --> <!ENTITY smallsetminus "∖"> <!-- set minus (should be small) --> <!ENTITY doublecap "⋒"> <!-- double intersection --> <!ENTITY doublecup "⋓"> <!-- double union --> <!ENTITY pitchfork "⋔"> <!-- proper intersection --> <!ENTITY in "∊"> <!-- element of --> <!ENTITY owns "∍"> <!-- contains --> <!ENTITY parallel "∥"> <!-- parallel to --> <!ENTITY nparallel "∦"> <!-- not parallel --> <!ENTITY shortparallel "∥"> <!-- (not short) parallel --> <!ENTITY nshortparallel "∦"> <!-- (not short) not parallel --> <!ENTITY simeq "≃"> <!-- similar or equal --> <!ENTITY approx "≈"> <!-- appromiately equal --> <!ENTITY propto "∝"> <!-- proportional to --> <!-- Negated relations --> <!ENTITY notlt "≮"> <!-- not less than --> <!ENTITY notgt "≯"> <!-- not greater than --> <!ENTITY notleq "≰"> <!-- not less than or equal --> <!ENTITY notgeq "≱"> <!-- not greater than or equal --> <!ENTITY nleqq "≦̸"> <!-- not less double equal --> <!ENTITY ngeqq "≧̸"> <!-- not gtr double equal --> <!ENTITY nless "≮"> <!-- not less than --> <!ENTITY ngtr "≯"> <!-- not gtr than --> <!ENTITY nleq "≰"> <!-- not less than or equal --> <!ENTITY ngeq "≱"> <!-- not gtr than or equal --> <!ENTITY nleqslant "⩽̸"> <!-- not less slant equal --> <!ENTITY ngeqslant "⩾̸"> <!-- not less slant equal --> <!ENTITY lneq "⪇"> <!-- less than over single not equal --> <!ENTITY gneq "⪈"> <!-- gtr than over single not equal --> <!ENTITY lneqq "≨"> <!-- less than over dbl not equal --> <!ENTITY gneqq "≩"> <!-- gtr than over dbl not equal --> <!ENTITY lvertneqq "≨"> <!-- less than over dbl v not equal --> <!ENTITY gvertneqq "≩"> <!-- gtr than over dbl v not equal --> <!ENTITY lnapprox "⪉"> <!-- less than, not approximate --> <!ENTITY gnapprox "⪊"> <!-- gtr than, not approximate --> <!ENTITY notprec "⊀"> <!-- not preceding --> <!ENTITY notsucc "⊁"> <!-- not succeeding --> <!ENTITY notpreceq "⋠"> <!-- not preceding or equal --> <!ENTITY notsucceq "⋡"> <!-- not succeeding or equal --> <!ENTITY nprec "⊀"> <!-- not precedes --> <!ENTITY nsucc "⊁"> <!-- not succeeds --> <!ENTITY npreceq "⪯̸"> <!-- not precedes or equal --> <!ENTITY nsucceq "⪰̸"> <!-- not succeeds or equal --> <!ENTITY precneqq "⪵"> <!-- precedes over not equal --> <!ENTITY succneqq "⪶"> <!-- succeeds over not equal --> <!ENTITY precnsim "⋨"> <!-- precedes but not equivalent --> <!ENTITY succnsim "⋩"> <!-- succeeds but not equivalent --> <!ENTITY precnapprox "⪹"> <!-- precedes over not almost equal --> <!ENTITY succnapprox "⪺"> <!-- succeeds over not almost equal --> <!ENTITY notsubset "⊄"> <!-- not subset --> <!ENTITY notsupset "⊅"> <!-- not superset --> <!ENTITY notsubseteq "⊈"> <!-- not subset or equal --> <!ENTITY notsupseteq "⊉"> <!-- not superset or equal --> <!ENTITY notsqsubseteq "⋢"> <!-- not square subset or equal --> <!ENTITY notsqsupseteq "⋣"> <!-- not square superset or equal --> <!ENTITY nsubseteq "⊈"> <!-- not subset or equal --> <!ENTITY nsupseteq "⊉"> <!-- not superset or equal --> <!ENTITY nsubseteqq "⫅̸"> <!-- not subset or dbl eq --> <!ENTITY nsupseteqq "⫆̸"> <!-- not superset or dbl eq --> <!ENTITY subsetneq "⊊"> <!-- subset over single not eq --> <!ENTITY supsetneq "⊋"> <!-- superset over single not eq --> <!ENTITY varsubsetneq "⊊"> <!-- subset over single not eq var --> <!ENTITY varsupsetneq "⊋"> <!-- superset over single not eq var --> <!ENTITY subsetneqq "⫋"> <!-- subset over double not eq --> <!ENTITY supsetneqq "⫌"> <!-- superset over double not eq --> <!ENTITY varsubsetneqq "⫋"> <!-- subset over double not eq var --> <!ENTITY varsupsetneqq "⫌"> <!-- superset over double not eq var --> <!ENTITY noteq "≠"> <!-- not equal --> <!ENTITY neq "≠"> <!-- not equal --> <!ENTITY notequiv "≢"> <!-- not identical --> <!ENTITY notsim "≁"> <!-- not similar --> <!ENTITY notsimeq "≄"> <!-- not similar or equal --> <!ENTITY notapprox "≉"> <!-- not apprpximately equal --> <!ENTITY notcong "≇"> <!-- not approximate or equal --> <!ENTITY notasymp "≭"> <!-- not equivalent --> <!-- Arrows --> <!ENTITY leftarrow "←"> <!-- left arrow --> <!ENTITY gets "←"> <!-- left arrow --> <!ENTITY rightarrow "→"> <!-- right arrow --> <!ENTITY to "→"> <!-- right arrow --> <!ENTITY uparrow "↑"> <!-- up arrow --> <!ENTITY downarrow "↓"> <!-- down arrow --> <!ENTITY leftrightarrow "↔"> <!-- left-right arrow --> <!ENTITY updownarrow "↕"> <!-- up-down arrow --> <!ENTITY Leftarrow "⇐"> <!-- left double arrow --> <!ENTITY Rightarrow "⇒"> <!-- right double arrow --> <!ENTITY Uparrow "⇑"> <!-- up double arrow --> <!ENTITY Downarrow "⇓"> <!-- down double arrow --> <!ENTITY Leftrightarrow "⇔"> <!-- left-right double arrow --> <!ENTITY Updownarrow "⇕"> <!-- up-down double arrow --> <!ENTITY Lleftarrow "⇚"> <!-- left triple arrow --> <!ENTITY Rrightarrow "⇛"> <!-- right triple arrow --> <!ENTITY hookleftarrow "↩"> <!-- left hooked arrow --> <!ENTITY hookrightarrow "↪"> <!-- right hooked arrow --> <!ENTITY longleftarrow "⟵"> <!-- left long arrow --> <!ENTITY longrightarrow "⟶"> <!-- right long arrow --> <!ENTITY longleftrightarrow "⟷"> <!-- left-right long arrow --> <!ENTITY Longleftarrow "⟸"> <!-- left long double arrow --> <!ENTITY Longrightarrow "⟹"> <!-- right long double arrow --> <!ENTITY Longleftrightarrow "⟺"> <!-- left-rt long dbl arrow --> <!ENTITY leftleftarrows "⇇"> <!-- left arrow pair --> <!ENTITY rightrightarrows "⇉"> <!-- right arrow pair --> <!ENTITY upuparrows "⇈"> <!-- up arrow pair --> <!ENTITY downdownarrows "⇊"> <!-- down arrow pair --> <!ENTITY leftrightarrows "⇆"> <!-- left over right arrow --> <!ENTITY rightleftarrows "⇄"> <!-- right over left arrow --> <!ENTITY twoheadleftarrow "↞"> <!-- left 2-head arrow --> <!ENTITY twoheadrightarrow "↠"> <!-- right 2-head arrow --> <!ENTITY leftarrowtail "↢"> <!-- left tailed arrow --> <!ENTITY rightarrowtail "↣"> <!-- right tailed arrow --> <!ENTITY looparrowleft "↫"> <!-- left looped arrow --> <!ENTITY looparrowright "↬"> <!-- right looped arrow --> <!ENTITY curvearrowleft "↶"> <!-- left curved arrow --> <!ENTITY curvearrowright "↷"> <!-- right curved arrow --> <!ENTITY circlearrowleft "↺"> <!-- left circle arrow --> <!ENTITY circlearrowright "↻"> <!-- right circle arrow --> <!ENTITY Lsh "↰"> <!-- up arrow left head --> <!ENTITY Rsh "↱"> <!-- up arrow right head --> <!ENTITY rightsquigarrow "↝"> <!-- right squiggle arrow --> <!ENTITY leftrightsquigarrow "↭"> <!-- left-right squiggle arr --> <!ENTITY nleftarrow "↚"> <!-- not left arrow --> <!ENTITY nrightarrow "↛"> <!-- not right arrow --> <!ENTITY nLeftarrow "⇍"> <!-- not left double arrow --> <!ENTITY nRightarrow "⇏"> <!-- not right double arrow --> <!ENTITY nleftrightarrow "↮"> <!-- not left-right arrow --> <!ENTITY nLeftrightarrow "⇎"> <!-- not left-right dbl arr --> <!ENTITY nearrow "↗"> <!-- northeast arrow --> <!ENTITY searrow "↙"> <!-- southeast arrow --> <!ENTITY swarrow "↘"> <!-- southwest arrow --> <!ENTITY nwarrow "↖"> <!-- northwest arrow --> <!ENTITY rightharpoonup "⇀"> <!-- right harpoon up head --> <!ENTITY rightharpoondown "⇁"> <!-- right harpoon down head --> <!ENTITY leftharpoonup "↼"> <!-- left harpoon up head --> <!ENTITY leftharpoondown "↽"> <!-- left harpoon down head --> <!ENTITY upharpoonleft "↿"> <!-- up harpoon left head --> <!ENTITY upharpoonright "↾"> <!-- up harpoon right head --> <!ENTITY restriction "↾"> <!-- up harpoon right head --> <!ENTITY downharpoonleft "⇃"> <!-- down harpoon left head --> <!ENTITY downharpoonright "⇂"> <!-- down harpoon right head --> <!ENTITY rightleftharpoons "⇌"> <!-- right harpoon over left --> <!ENTITY leftrightharpoons "⇋"> <!-- left over right harpoon --> <!ENTITY mapsto "↦"> <!-- maps to --> <!ENTITY longmapsto "⟼"> <!-- mapsto long --> <!ENTITY multimap "⊸"> <!-- multimap --> <!-- Openings and closings --> <!ENTITY lbrack "["> <!-- left bracket --> <!ENTITY rbrack "]"> <!-- right bracket --> <!ENTITY lbrace "{"> <!-- left curly brace --> <!ENTITY rbrace "}"> <!-- right curly brace --> <!ENTITY langle "⟨"> <!-- left angle bracket --> <!ENTITY rangle "⟩"> <!-- right angle bracket --> <!ENTITY lchevron "‹"> <!-- left chevron --> <!ENTITY rchevron "›"> <!-- right chevron --> <!ENTITY ldchevron "«"> <!-- left double chevron --> <!ENTITY rdchevron "»"> <!-- right double chevron --> <!ENTITY lquot "‘"> <!-- left quote --> <!ENTITY rquot "’"> <!-- right quote --> <!-- Things which are supposed to be in a upright face --> <!ENTITY arccos " arccos "> <!ENTITY arcsin " arcsin "> <!ENTITY arctan " arctan "> <!ENTITY arg " arg "> <!ENTITY cos " cos "> <!ENTITY cosh " cosh "> <!ENTITY cot " cot "> <!ENTITY coth " coth "> <!ENTITY csc " csc "> <!ENTITY det " det "> <!ENTITY dim " dim "> <!ENTITY exp " exp "> <!ENTITY gcd " gcd "> <!ENTITY hom " hom "> <!ENTITY inf " inf "> <!ENTITY ker " ker "> <!ENTITY lim " lim "> <!ENTITY liminf " liminf "> <!ENTITY limsup " limsup "> <!ENTITY ln " ln "> <!ENTITY log " log "> <!ENTITY max " max "> <!ENTITY min " min "> <!ENTITY Pr " Pr "> <!ENTITY sec " sec "> <!ENTITY sin " sin "> <!ENTITY sinh " sinh "> <!ENTITY tan " tan "> <!ENTITY tanh " tanh "> <!-- Miscellaneous --> <!-- greek --> <!ENTITY digamma "Ϝ"> <!-- digamma --> <!ENTITY varkappa "ϰ"> <!-- variant kappa --> <!ENTITY mho "℧"> <!-- inverted ohm --> <!ENTITY backepsilon "϶"> <!-- reversed epsilon --> <!ENTITY hatnabla "∇̂"> <!-- nabla with hat --> <!ENTITY bvarzeta "𝛇"> <!-- bold zeta (no UCS var) --> <!ENTITY bitGamma "𝜞"> <!-- bold italic Gamma --> <!ENTITY bitDelta "𝜟"> <!-- bold italic Delta --> <!ENTITY bitLambda "𝜦"> <!-- bold italic Lambda --> <!ENTITY bitPi "𝜫"> <!-- bold italic Pi --> <!ENTITY bitTheta "𝜭"> <!-- bold italic Theta --> <!ENTITY bitSigma "𝜮"> <!-- bold italic Sigma --> <!ENTITY bitUpsilon "𝜰"> <!-- bold italic Upsilon --> <!ENTITY bitPhi "𝜱"> <!-- bold italic Phi --> <!ENTITY bitXi "𝜲"> <!-- bold italic Xi --> <!ENTITY bitPsi "𝜳"> <!-- bold italic Psi --> <!ENTITY bitOmega "𝜴"> <!-- bold italic Omega --> <!ENTITY itGamma "𝛤"> <!-- italic Gamma --> <!ENTITY itDelta "𝛥"> <!-- italic Delta --> <!ENTITY itLambda "𝛬"> <!-- italic Lambda --> <!ENTITY itPi "𝛱"> <!-- italic Pi --> <!ENTITY itTheta "𝛳"> <!-- italic Theta --> <!ENTITY itSigma "𝛴"> <!-- italic Sigma --> <!ENTITY itUpsilon "𝛶"> <!-- italic Upsilon --> <!ENTITY itPhi "𝛷"> <!-- italic Phi --> <!ENTITY itXi "𝛸"> <!-- italic Xi --> <!ENTITY itPsi "𝛹"> <!-- italic Psi --> <!ENTITY itOmega "𝛺"> <!-- italic Omega --> <!-- letter-like --> <!ENTITY hslash "ℏ"> <!-- planck constant over 2 pi --> <!ENTITY circledS "Ⓢ"> <!-- S in circle --> <!ENTITY Finv "Ⅎ"> <!-- turned F --> <!ENTITY Game "⅁"> <!-- turned G --> <!-- geometric shapes --> <!ENTITY diagup "╱"> <!-- diagonal line upwards --> <!ENTITY diagdown "╲"> <!-- diagonal line downwards --> <!ENTITY smallsmile "⌣"> <!-- small up curve --> <!ENTITY smallfrown "⌢"> <!-- small down curve --> <!ENTITY vartriangle "▵"> <!-- var triangle --> <!ENTITY triangledown "▽"> <!-- down triangle --> <!ENTITY vartriangleleft "⊲"> <!-- left var triangle --> <!ENTITY trianglelefteq "⊴"> <!-- triangle left or equal --> <!ENTITY vartriangleright "⊳"> <!-- right var triangle --> <!ENTITY trianglerighteq "⊵"> <!-- triangle right or equal --> <!ENTITY ntriangleleft "⋪"> <!-- not left triangle --> <!ENTITY ntriangleright "⋫"> <!-- not right triangle --> <!ENTITY ntrianglelefteq "⋬"> <!-- not left triangle eq --> <!ENTITY ntrianglerighteq "⋭"> <!-- not right triangle eq --> <!ENTITY blacktriangle "▴"> <!-- up black triangle --> <!ENTITY blacktriangledown "▾"> <!-- down black triangle --> <!ENTITY blacktriangleleft "◂"> <!-- left black triangle --> <!ENTITY blacktriangleright "▸"> <!-- right black triangle --> <!ENTITY blacksquare "■"> <!-- black square --> <!ENTITY lozenge "◊"> <!-- lozenge --> <!ENTITY blacklozenge "⧫"> <!-- black lozenge --> <!ENTITY bigstar "★"> <!-- big star --> <!-- enclosed --> <!ENTITY boxminus "⊟"> <!-- minus sign in box --> <!ENTITY boxtimes "⊠"> <!-- times sign in box --> <!ENTITY boxdot "⊡"> <!-- dot in box --> <!ENTITY boxplus "⊞"> <!-- plus sign in box --> <!ENTITY circleddash "⊝"> <!-- circled dash --> <!ENTITY circledast "⊛"> <!-- circled asterisk --> <!ENTITY circledcirc "⊚"> <!-- circled circle --> <!-- misc --> <!ENTITY measuredangle "∡"> <!-- measured angle --> <!ENTITY nexists "∄"> <!-- there does not exist --> <!ENTITY backprime "‵"> <!-- reversed prime --> <!ENTITY varnothing "⌀"> <!-- diameter --> <!ENTITY sphericalangle "∢"> <!-- spherical angle --> <!ENTITY complement "∁"> <!-- complement --> <!ENTITY dotplus "∔"> <!-- plus sign with dot above --> <!ENTITY barwedge "⌅"> <!-- projective --> <!ENTITY doublebarwedge "⌆"> <!-- perspective --> <!ENTITY divideontimes "⋇"> <!-- divide/times overprint --> <!ENTITY leftthreetimes "⋋"> <!-- left semidirect product --> <!ENTITY rightthreetimes "⋌"> <!-- right semidirect product --> <!ENTITY curlywedge "⋏"> <!-- curly logical and --> <!ENTITY curlyvee "⋎"> <!-- curly logical or --> <!ENTITY centerdot "·"> <!-- central dot --> <!ENTITY intercal "⊺"> <!-- intercalate --> <!ENTITY between "≬"> <!-- between --> <!ENTITY therefore "∴"> <!-- therefore --> <!ENTITY because "∵"> <!-- because --> <!ENTITY shortmid "∣"> <!-- (not short) divides --> <!ENTITY nshortmid "∤"> <!-- (not short) does not divide --> <!-- Received --> <!ENTITY received "Received "> <!ENTITY finalform ", in final form "> <!ENTITY accepted ", accepted for publication "> <!ENTITY online ", online "> <!ENTITY bdot "∙"> <!-- bold middot/bullet --> <!ENTITY bell "𝓵"> <!-- bold ell --> <!ENTITY btimes "×"> <!-- (bold) times sign --> <!ENTITY sqrt2 "sqrt2"> <!-- XXX "√2" ??? --> <!ENTITY sqrt3 "sqrt3"> <!-- XXX "√3" ??? --> <!-- AAS characters --> <!ENTITY angl0 "〈"> <!-- Left angle bracket (wide) --> <!ENTITY angr0 "〉"> <!-- Right angle bracket (wide) --> <!ENTITY arcdeg "°"> <!-- Arc degrees --> <!ENTITY arcmin "′"> <!-- Arc minutes --> <!ENTITY arcsec "″"> <!-- Arc seconds --> <!ENTITY sun "☉"> <!-- Sun symbol --> <!ENTITY mercury "☿"> <!-- Mercury symbol --> <!ENTITY venus "♀"> <!-- Venus symbol --> <!ENTITY earth "♁"> <!-- Earth symbol --> <!ENTITY moon "☾"> <!-- Moon symbol --> <!ENTITY mars "♂"> <!-- Mars symbol --> <!ENTITY jupiter "♃"> <!-- Jupiter symbol --> <!ENTITY saturn "♄"> <!-- Saturn symbol --> <!ENTITY uranus "♅"> <!-- Uranus symbol --> <!ENTITY neptune "♆"> <!-- Neptune symbol --> <!ENTITY pluto "♇"> <!-- Pluto symbol --> <!ENTITY farcm ".′"> <!-- Fractional arc minute (arcmin above dec point) --> <!ENTITY farcs ".″"> <!-- Fractional arc second (arcsec above dec point) --> <!ENTITY fd ".ͩ"> <!-- Fractional day (d over dot) --> <!ENTITY fh ".ͪ"> <!-- Fractional hour (h over dot) --> <!ENTITY fm ".ͫ"> <!-- Fractional minute (m over dot) --> <!ENTITY fs ".ˢ"> <!-- Fractional second (s over dot) --> <!ENTITY fdg ".°"> <!-- Fractional degrees (degree symbol over dot) --> <!ENTITY fp ".ᵖ"> <!-- Fractional period (P over dot) --> <!ENTITY j0 "°"> <!-- J dot (the dot of a j) --> <!-- UCP entities --> <!ENTITY rarrr "⟶"> <!ENTITY larrr "⟵"> <!ENTITY sbond "–"> <!ENTITY dbond "="> <!ENTITY tbond "≡">