PNG  IHDRX cHRMz&u0`:pQ<bKGD pHYsodtIME MeqIDATxw]Wug^Qd˶ 6`!N:!@xI~)%7%@Bh&`lnjVF29gΨ4E$|>cɚ{gk= %,a KX%,a KX%,a KX%,a KX%,a KX%,a KX%, b` ǟzeאfp]<!SJmɤY޲ڿ,%c ~ع9VH.!Ͳz&QynֺTkRR.BLHi٪:l;@(!MԴ=žI,:o&N'Kù\vRmJ雵֫AWic H@" !: Cé||]k-Ha oݜ:y F())u]aG7*JV@J415p=sZH!=!DRʯvɱh~V\}v/GKY$n]"X"}t@ xS76^[bw4dsce)2dU0 CkMa-U5tvLƀ~mlMwfGE/-]7XAƟ`׮g ewxwC4\[~7@O-Q( a*XGƒ{ ՟}$_y3tĐƤatgvێi|K=uVyrŲlLӪuܿzwk$m87k( `múcE)"@rK( z4$D; 2kW=Xb$V[Ru819קR~qloѱDyįݎ*mxw]y5e4K@ЃI0A D@"BDk_)N\8͜9dz"fK0zɿvM /.:2O{ Nb=M=7>??Zuo32 DLD@D| &+֎C #B8ַ`bOb $D#ͮҪtx]%`ES`Ru[=¾!@Od37LJ0!OIR4m]GZRJu$‡c=%~s@6SKy?CeIh:[vR@Lh | (BhAMy=݃  G"'wzn޺~8ԽSh ~T*A:xR[ܹ?X[uKL_=fDȊ؂p0}7=D$Ekq!/t.*2ʼnDbŞ}DijYaȲ(""6HA;:LzxQ‘(SQQ}*PL*fc\s `/d'QXW, e`#kPGZuŞuO{{wm[&NBTiiI0bukcA9<4@SӊH*؎4U/'2U5.(9JuDfrޱtycU%j(:RUbArLֺN)udA':uGQN"-"Is.*+k@ `Ojs@yU/ H:l;@yyTn}_yw!VkRJ4P)~y#)r,D =ě"Q]ci'%HI4ZL0"MJy 8A{ aN<8D"1#IJi >XjX֔#@>-{vN!8tRݻ^)N_╗FJEk]CT՟ YP:_|H1@ CBk]yKYp|og?*dGvzنzӴzjֺNkC~AbZƷ`.H)=!QͷVTT(| u78y֮}|[8-Vjp%2JPk[}ԉaH8Wpqhwr:vWª<}l77_~{s۴V+RCģ%WRZ\AqHifɤL36: #F:p]Bq/z{0CU6ݳEv_^k7'>sq*+kH%a`0ԣisqにtү04gVgW΂iJiS'3w.w}l6MC2uԯ|>JF5`fV5m`Y**Db1FKNttu]4ccsQNnex/87+}xaUW9y>ͯ骵G{䩓Գ3+vU}~jJ.NFRD7<aJDB1#ҳgSb,+CS?/ VG J?|?,2#M9}B)MiE+G`-wo߫V`fio(}S^4e~V4bHOYb"b#E)dda:'?}׮4繏`{7Z"uny-?ǹ;0MKx{:_pÚmFמ:F " .LFQLG)Q8qN q¯¯3wOvxDb\. BKD9_NN &L:4D{mm o^tֽ:q!ƥ}K+<"m78N< ywsard5+вz~mnG)=}lYݧNj'QJS{S :UYS-952?&O-:W}(!6Mk4+>A>j+i|<<|;ر^߉=HE|V#F)Emm#}/"y GII웻Jі94+v뾧xu~5C95~ūH>c@덉pʃ1/4-A2G%7>m;–Y,cyyaln" ?ƻ!ʪ<{~h~i y.zZB̃/,雋SiC/JFMmBH&&FAbϓO^tubbb_hZ{_QZ-sύodFgO(6]TJA˯#`۶ɟ( %$&+V'~hiYy>922 Wp74Zkq+Ovn錄c>8~GqܲcWꂎz@"1A.}T)uiW4="jJ2W7mU/N0gcqܗOO}?9/wìXžΏ0 >֩(V^Rh32!Hj5`;O28؇2#ݕf3 ?sJd8NJ@7O0 b־?lldщ̡&|9C.8RTWwxWy46ah嘦mh٤&l zCy!PY?: CJyв]dm4ǜҐR޻RլhX{FƯanшQI@x' ao(kUUuxW_Ñ줮[w8 FRJ(8˼)_mQ _!RJhm=!cVmm ?sFOnll6Qk}alY}; "baӌ~M0w,Ggw2W:G/k2%R,_=u`WU R.9T"v,<\Ik޽/2110Ӿxc0gyC&Ny޽JҢrV6N ``یeA16"J³+Rj*;BϜkZPJaÍ<Jyw:NP8/D$ 011z֊Ⱳ3ι֘k1V_"h!JPIΣ'ɜ* aEAd:ݺ>y<}Lp&PlRfTb1]o .2EW\ͮ]38؋rTJsǏP@芎sF\> P^+dYJLbJ C-xϐn> ι$nj,;Ǖa FU *择|h ~izť3ᤓ`K'-f tL7JK+vf2)V'-sFuB4i+m+@My=O҈0"|Yxoj,3]:cо3 $#uŘ%Y"y죯LebqtҢVzq¼X)~>4L׶m~[1_k?kxֺQ`\ |ٛY4Ѯr!)N9{56(iNq}O()Em]=F&u?$HypWUeB\k]JɩSع9 Zqg4ZĊo oMcjZBU]B\TUd34ݝ~:7ڶSUsB0Z3srx 7`:5xcx !qZA!;%͚7&P H<WL!džOb5kF)xor^aujƍ7 Ǡ8/p^(L>ὴ-B,{ۇWzֺ^k]3\EE@7>lYBȝR.oHnXO/}sB|.i@ɥDB4tcm,@ӣgdtJ!lH$_vN166L__'Z)y&kH;:,Y7=J 9cG) V\hjiE;gya~%ks_nC~Er er)muuMg2;֫R)Md) ,¶ 2-wr#F7<-BBn~_(o=KO㭇[Xv eN_SMgSҐ BS헃D%g_N:/pe -wkG*9yYSZS.9cREL !k}<4_Xs#FmҶ:7R$i,fi!~' # !6/S6y@kZkZcX)%5V4P]VGYq%H1!;e1MV<!ϐHO021Dp= HMs~~a)ަu7G^];git!Frl]H/L$=AeUvZE4P\.,xi {-~p?2b#amXAHq)MWǾI_r`S Hz&|{ +ʖ_= (YS(_g0a03M`I&'9vl?MM+m~}*xT۲(fY*V4x@29s{DaY"toGNTO+xCAO~4Ϳ;p`Ѫ:>Ҵ7K 3}+0 387x\)a"/E>qpWB=1 ¨"MP(\xp߫́A3+J] n[ʼnӼaTbZUWb={~2ooKױӰp(CS\S筐R*JغV&&"FA}J>G֐p1ٸbk7 ŘH$JoN <8s^yk_[;gy-;߉DV{c B yce% aJhDȶ 2IdйIB/^n0tNtџdcKj4϶v~- CBcgqx9= PJ) dMsjpYB] GD4RDWX +h{y`,3ꊕ$`zj*N^TP4L:Iz9~6s) Ga:?y*J~?OrMwP\](21sZUD ?ܟQ5Q%ggW6QdO+\@ ̪X'GxN @'4=ˋ+*VwN ne_|(/BDfj5(Dq<*tNt1х!MV.C0 32b#?n0pzj#!38}޴o1KovCJ`8ŗ_"]] rDUy޲@ Ȗ-;xџ'^Y`zEd?0„ DAL18IS]VGq\4o !swV7ˣι%4FѮ~}6)OgS[~Q vcYbL!wG3 7띸*E Pql8=jT\꘿I(z<[6OrR8ºC~ډ]=rNl[g|v TMTղb-o}OrP^Q]<98S¤!k)G(Vkwyqyr޽Nv`N/e p/~NAOk \I:G6]4+K;j$R:Mi #*[AȚT,ʰ,;N{HZTGMoּy) ]%dHء9Պ䠬|<45,\=[bƟ8QXeB3- &dҩ^{>/86bXmZ]]yޚN[(WAHL$YAgDKp=5GHjU&99v簪C0vygln*P)9^͞}lMuiH!̍#DoRBn9l@ xA/_v=ȺT{7Yt2N"4!YN`ae >Q<XMydEB`VU}u]嫇.%e^ánE87Mu\t`cP=AD/G)sI"@MP;)]%fH9'FNsj1pVhY&9=0pfuJ&gޤx+k:!r˭wkl03׼Ku C &ѓYt{.O.zҏ z}/tf_wEp2gvX)GN#I ݭ߽v/ .& и(ZF{e"=V!{zW`, ]+LGz"(UJp|j( #V4, 8B 0 9OkRrlɱl94)'VH9=9W|>PS['G(*I1==C<5"Pg+x'K5EMd؞Af8lG ?D FtoB[je?{k3zQ vZ;%Ɠ,]E>KZ+T/ EJxOZ1i #T<@ I}q9/t'zi(EMqw`mYkU6;[t4DPeckeM;H}_g pMww}k6#H㶏+b8雡Sxp)&C $@'b,fPߑt$RbJ'vznuS ~8='72_`{q纶|Q)Xk}cPz9p7O:'|G~8wx(a 0QCko|0ASD>Ip=4Q, d|F8RcU"/KM opKle M3#i0c%<7׿p&pZq[TR"BpqauIp$ 8~Ĩ!8Սx\ւdT>>Z40ks7 z2IQ}ItԀ<-%S⍤};zIb$I 5K}Q͙D8UguWE$Jh )cu4N tZl+[]M4k8֦Zeq֮M7uIqG 1==tLtR,ƜSrHYt&QP윯Lg' I,3@P'}'R˪e/%-Auv·ñ\> vDJzlӾNv5:|K/Jb6KI9)Zh*ZAi`?S {aiVDԲuy5W7pWeQJk֤#5&V<̺@/GH?^τZL|IJNvI:'P=Ϛt"¨=cud S Q.Ki0 !cJy;LJR;G{BJy޺[^8fK6)=yʊ+(k|&xQ2`L?Ȓ2@Mf 0C`6-%pKpm')c$׻K5[J*U[/#hH!6acB JA _|uMvDyk y)6OPYjœ50VT K}cǻP[ $:]4MEA.y)|B)cf-A?(e|lɉ#P9V)[9t.EiQPDѠ3ϴ;E:+Օ t ȥ~|_N2,ZJLt4! %ա]u {+=p.GhNcŞQI?Nd'yeh n7zi1DB)1S | S#ًZs2|Ɛy$F SxeX{7Vl.Src3E℃Q>b6G ўYCmtկ~=K0f(=LrAS GN'ɹ9<\!a`)֕y[uՍ[09` 9 +57ts6}b4{oqd+J5fa/,97J#6yν99mRWxJyѡyu_TJc`~W>l^q#Ts#2"nD1%fS)FU w{ܯ R{ ˎ󅃏џDsZSQS;LV;7 Od1&1n$ N /.q3~eNɪ]E#oM~}v֯FڦwyZ=<<>Xo稯lfMFV6p02|*=tV!c~]fa5Y^Q_WN|Vs 0ҘދU97OI'N2'8N֭fgg-}V%y]U4 峧p*91#9U kCac_AFңĪy뚇Y_AiuYyTTYЗ-(!JFLt›17uTozc. S;7A&&<ԋ5y;Ro+:' *eYJkWR[@F %SHWP 72k4 qLd'J "zB6{AC0ƁA6U.'F3:Ȅ(9ΜL;D]m8ڥ9}dU "v!;*13Rg^fJyShyy5auA?ɩGHRjo^]׽S)Fm\toy 4WQS@mE#%5ʈfFYDX ~D5Ϡ9tE9So_aU4?Ѽm%&c{n>.KW1Tlb}:j uGi(JgcYj0qn+>) %\!4{LaJso d||u//P_y7iRJ߬nHOy) l+@$($VFIQ9%EeKʈU. ia&FY̒mZ=)+qqoQn >L!qCiDB;Y<%} OgBxB!ØuG)WG9y(Ą{_yesuZmZZey'Wg#C~1Cev@0D $a@˲(.._GimA:uyw֬%;@!JkQVM_Ow:P.s\)ot- ˹"`B,e CRtaEUP<0'}r3[>?G8xU~Nqu;Wm8\RIkբ^5@k+5(By'L&'gBJ3ݶ!/㮻w҅ yqPWUg<e"Qy*167΃sJ\oz]T*UQ<\FԎ`HaNmڜ6DysCask8wP8y9``GJ9lF\G g's Nn͵MLN֪u$| /|7=]O)6s !ĴAKh]q_ap $HH'\1jB^s\|- W1:=6lJBqjY^LsPk""`]w)󭃈,(HC ?䔨Y$Sʣ{4Z+0NvQkhol6C.婧/u]FwiVjZka&%6\F*Ny#8O,22+|Db~d ~Çwc N:FuuCe&oZ(l;@ee-+Wn`44AMK➝2BRՈt7g*1gph9N) *"TF*R(#'88pm=}X]u[i7bEc|\~EMn}P瘊J)K.0i1M6=7'_\kaZ(Th{K*GJyytw"IO-PWJk)..axӝ47"89Cc7ĐBiZx 7m!fy|ϿF9CbȩV 9V-՛^pV̌ɄS#Bv4-@]Vxt-Z, &ֺ*diؠ2^VXbs֔Ìl.jQ]Y[47gj=幽ex)A0ip׳ W2[ᎇhuE^~q흙L} #-b۸oFJ_QP3r6jr+"nfzRJTUqoaۍ /$d8Mx'ݓ= OՃ| )$2mcM*cЙj}f };n YG w0Ia!1Q.oYfr]DyISaP}"dIӗթO67jqR ҊƐƈaɤGG|h;t]䗖oSv|iZqX)oalv;۩meEJ\!8=$4QU4Xo&VEĊ YS^E#d,yX_> ۘ-e\ "Wa6uLĜZi`aD9.% w~mB(02G[6y.773a7 /=o7D)$Z 66 $bY^\CuP. (x'"J60׿Y:Oi;F{w佩b+\Yi`TDWa~|VH)8q/=9!g߆2Y)?ND)%?Ǐ`k/sn:;O299yB=a[Ng 3˲N}vLNy;*?x?~L&=xyӴ~}q{qE*IQ^^ͧvü{Huu=R|>JyUlZV, B~/YF!Y\u_ݼF{_C)LD]m {H 0ihhadd nUkf3oٺCvE\)QJi+֥@tDJkB$1!Đr0XQ|q?d2) Ӣ_}qv-< FŊ߫%roppVBwü~JidY4:}L6M7f٬F "?71<2#?Jyy4뷢<_a7_=Q E=S1И/9{+93֮E{ǂw{))?maÆm(uLE#lïZ  ~d];+]h j?!|$F}*"4(v'8s<ŏUkm7^7no1w2ؗ}TrͿEk>p'8OB7d7R(A 9.*Mi^ͳ; eeUwS+C)uO@ =Sy]` }l8^ZzRXj[^iUɺ$tj))<sbDJfg=Pk_{xaKo1:-uyG0M ԃ\0Lvuy'ȱc2Ji AdyVgVh!{]/&}}ċJ#%d !+87<;qN޼Nفl|1N:8ya  8}k¾+-$4FiZYÔXk*I&'@iI99)HSh4+2G:tGhS^繿 Kتm0 вDk}֚+QT4;sC}rՅE,8CX-e~>G&'9xpW,%Fh,Ry56Y–hW-(v_,? ; qrBk4-V7HQ;ˇ^Gv1JVV%,ik;D_W!))+BoS4QsTM;gt+ndS-~:11Sgv!0qRVh!"Ȋ(̦Yl.]PQWgٳE'`%W1{ndΗBk|Ž7ʒR~,lnoa&:ü$ 3<a[CBݮwt"o\ePJ=Hz"_c^Z.#ˆ*x z̝grY]tdkP*:97YľXyBkD4N.C_[;F9`8& !AMO c `@BA& Ost\-\NX+Xp < !bj3C&QL+*&kAQ=04}cC!9~820G'PC9xa!w&bo_1 Sw"ܱ V )Yl3+ס2KoXOx]"`^WOy :3GO0g;%Yv㐫(R/r (s } u B &FeYZh0y> =2<Ϟc/ -u= c&׭,.0"g"7 6T!vl#sc>{u/Oh Bᾈ)۴74]x7 gMӒ"d]U)}" v4co[ ɡs 5Gg=XR14?5A}D "b{0$L .\4y{_fe:kVS\\O]c^W52LSBDM! C3Dhr̦RtArx4&agaN3Cf<Ԉp4~ B'"1@.b_/xQ} _߃҉/gٓ2Qkqp0շpZ2fԫYz< 4L.Cyυι1t@鎫Fe sYfsF}^ V}N<_`p)alٶ "(XEAVZ<)2},:Ir*#m_YӼ R%a||EƼIJ,,+f"96r/}0jE/)s)cjW#w'Sʯ5<66lj$a~3Kʛy 2:cZ:Yh))+a߭K::N,Q F'qB]={.]h85C9cr=}*rk?vwV렵ٸW Rs%}rNAkDv|uFLBkWY YkX מ|)1!$#3%y?pF<@<Rr0}: }\J [5FRxY<9"SQdE(Q*Qʻ)q1E0B_O24[U'],lOb ]~WjHޏTQ5Syu wq)xnw8~)c 쫬gٲߠ H% k5dƝk> kEj,0% b"vi2Wس_CuK)K{n|>t{P1򨾜j>'kEkƗBg*H%'_aY6Bn!TL&ɌOb{c`'d^{t\i^[uɐ[}q0lM˕G:‚4kb祔c^:?bpg… +37stH:0}en6x˟%/<]BL&* 5&fK9Mq)/iyqtA%kUe[ڛKN]Ě^,"`/ s[EQQm?|XJ߅92m]G.E΃ח U*Cn.j_)Tѧj̿30ڇ!A0=͜ar I3$C^-9#|pk!)?7.x9 @OO;WƝZBFU keZ75F6Tc6"ZȚs2y/1 ʵ:u4xa`C>6Rb/Yм)^=+~uRd`/|_8xbB0?Ft||Z\##|K 0>>zxv8۴吅q 8ĥ)"6>~\8:qM}#͚'ĉ#p\׶ l#bA?)|g g9|8jP(cr,BwV (WliVxxᡁ@0Okn;ɥh$_ckCgriv}>=wGzβ KkBɛ[˪ !J)h&k2%07δt}!d<9;I&0wV/ v 0<H}L&8ob%Hi|޶o&h1L|u֦y~󛱢8fٲUsւ)0oiFx2}X[zVYr_;N(w]_4B@OanC?gĦx>мgx>ΛToZoOMp>40>V Oy V9iq!4 LN,ˢu{jsz]|"R޻&'ƚ{53ўFu(<٪9:΋]B;)B>1::8;~)Yt|0(pw2N%&X,URBK)3\zz&}ax4;ǟ(tLNg{N|Ǽ\G#C9g$^\}p?556]/RP.90 k,U8/u776s ʪ_01چ|\N 0VV*3H鴃J7iI!wG_^ypl}r*jɤSR 5QN@ iZ#1ٰy;_\3\BQQ x:WJv츟ٯ$"@6 S#qe딇(/P( Dy~TOϻ<4:-+F`0||;Xl-"uw$Цi󼕝mKʩorz"mϺ$F:~E'ҐvD\y?Rr8_He@ e~O,T.(ފR*cY^m|cVR[8 JҡSm!ΆԨb)RHG{?MpqrmN>߶Y)\p,d#xۆWY*,l6]v0h15M˙MS8+EdI='LBJIH7_9{Caз*Lq,dt >+~ّeʏ?xԕ4bBAŚjﵫ!'\Ը$WNvKO}ӽmSşذqsOy?\[,d@'73'j%kOe`1.g2"e =YIzS2|zŐƄa\U,dP;jhhhaxǶ?КZ՚.q SE+XrbOu%\GتX(H,N^~]JyEZQKceTQ]VGYqnah;y$cQahT&QPZ*iZ8UQQM.qo/T\7X"u?Mttl2Xq(IoW{R^ ux*SYJ! 4S.Jy~ BROS[V|žKNɛP(L6V^|cR7i7nZW1Fd@ Ara{詑|(T*dN]Ko?s=@ |_EvF]׍kR)eBJc" MUUbY6`~V޴dJKß&~'d3i WWWWWW
Current Directory: /opt/cpanel/ea-ruby24/root/usr/share/gems/gems/mizuho-0.9.20/asciidoc/javascripts
Viewing File: /opt/cpanel/ea-ruby24/root/usr/share/gems/gems/mizuho-0.9.20/asciidoc/javascripts/ASCIIMathML.js
/* ASCIIMathML.js ============== This file contains JavaScript functions to convert ASCII math notation to Presentation MathML. The conversion is done while the (X)HTML page loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet Explorer 6+MathPlayer (http://www.dessci.com/en/products/mathplayer/). Just add the next line to your (X)HTML page with this file in the same folder: This is a convenient and inexpensive solution for authoring MathML. Version 1.4.7 Dec 15, 2005, (c) Peter Jipsen http://www.chapman.edu/~jipsen Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js For changes see http://www.chapman.edu/~jipsen/mathml/asciimathchanges.txt If you use it on a webpage, please send the URL to jipsen@chapman.edu This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License (at http://www.gnu.org/copyleft/gpl.html) for more details. */ var checkForMathML = true; // check if browser can display MathML var notifyIfNoMathML = true; // display note if no MathML capability var alertIfNoMathML = false; // show alert box if no MathML capability var mathcolor = ""; // change it to "" (to inherit) or any other color var mathfontfamily = "serif"; // change to "" to inherit (works in IE) // or another family (e.g. "arial") var displaystyle = true; // puts limits above and below large operators var showasciiformulaonhover = true; // helps students learn ASCIIMath var decimalsign = "."; // change to "," if you like, beware of `(1,2)`! var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters var AMdelimiter2 = "$", AMescape2 = "\\\\\\$", AMdelimiter2regexp = "\\$"; var doubleblankmathdelimiter = false; // if true, x+1 is equal to `x+1` // for IE this works only in <!-- --> //var separatetokens;// has been removed (email me if this is a problem) var isIE = document.createElementNS==null; if (document.getElementById==null) alert("This webpage requires a recent browser such as\ \nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer") // all further global variables start with "AM" function AMcreateElementXHTML(t) { if (isIE) return document.createElement(t); else return document.createElementNS("http://www.w3.org/1999/xhtml",t); } function AMnoMathMLNote() { var nd = AMcreateElementXHTML("h3"); nd.setAttribute("align","center") nd.appendChild(AMcreateElementXHTML("p")); nd.appendChild(document.createTextNode("To view the ")); var an = AMcreateElementXHTML("a"); an.appendChild(document.createTextNode("ASCIIMathML")); an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html"); nd.appendChild(an); nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+")); an = AMcreateElementXHTML("a"); an.appendChild(document.createTextNode("MathPlayer")); an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm"); nd.appendChild(an); nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox")); nd.appendChild(AMcreateElementXHTML("p")); return nd; } function AMisMathMLavailable() { if (navigator.appName.slice(0,8)=="Netscape") if (navigator.appVersion.slice(0,1)>="5") return null; else return AMnoMathMLNote(); else if (navigator.appName.slice(0,9)=="Microsoft") try { var ActiveX = new ActiveXObject("MathPlayer.Factory.1"); return null; } catch (e) { return AMnoMathMLNote(); } else return AMnoMathMLNote(); } // character lists for Mozilla/Netscape fonts var AMcal = [0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46]; var AMfrk = [0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128]; var AMbbb = [0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124]; var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4, RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8, LEFTRIGHT = 9, TEXT = 10; // token types var AMsqrt = {input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY}, AMroot = {input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY}, AMfrac = {input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY}, AMdiv = {input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX}, AMover = {input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY}, AMsub = {input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX}, AMsup = {input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX}, AMtext = {input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT}, AMmbox = {input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT}, AMquote = {input:"\"", tag:"mtext", output:"mbox", tex:null, ttype:TEXT}; var AMsymbols = [ //some greek symbols {input:"alpha", tag:"mi", output:"\u03B1", tex:null, ttype:CONST}, {input:"beta", tag:"mi", output:"\u03B2", tex:null, ttype:CONST}, {input:"chi", tag:"mi", output:"\u03C7", tex:null, ttype:CONST}, {input:"delta", tag:"mi", output:"\u03B4", tex:null, ttype:CONST}, {input:"Delta", tag:"mo", output:"\u0394", tex:null, ttype:CONST}, {input:"epsi", tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST}, {input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST}, {input:"eta", tag:"mi", output:"\u03B7", tex:null, ttype:CONST}, {input:"gamma", tag:"mi", output:"\u03B3", tex:null, ttype:CONST}, {input:"Gamma", tag:"mo", output:"\u0393", tex:null, ttype:CONST}, {input:"iota", tag:"mi", output:"\u03B9", tex:null, ttype:CONST}, {input:"kappa", tag:"mi", output:"\u03BA", tex:null, ttype:CONST}, {input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST}, {input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST}, {input:"mu", tag:"mi", output:"\u03BC", tex:null, ttype:CONST}, {input:"nu", tag:"mi", output:"\u03BD", tex:null, ttype:CONST}, {input:"omega", tag:"mi", output:"\u03C9", tex:null, ttype:CONST}, {input:"Omega", tag:"mo", output:"\u03A9", tex:null, ttype:CONST}, {input:"phi", tag:"mi", output:"\u03C6", tex:null, ttype:CONST}, {input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST}, {input:"Phi", tag:"mo", output:"\u03A6", tex:null, ttype:CONST}, {input:"pi", tag:"mi", output:"\u03C0", tex:null, ttype:CONST}, {input:"Pi", tag:"mo", output:"\u03A0", tex:null, ttype:CONST}, {input:"psi", tag:"mi", output:"\u03C8", tex:null, ttype:CONST}, {input:"Psi", tag:"mi", output:"\u03A8", tex:null, ttype:CONST}, {input:"rho", tag:"mi", output:"\u03C1", tex:null, ttype:CONST}, {input:"sigma", tag:"mi", output:"\u03C3", tex:null, ttype:CONST}, {input:"Sigma", tag:"mo", output:"\u03A3", tex:null, ttype:CONST}, {input:"tau", tag:"mi", output:"\u03C4", tex:null, ttype:CONST}, {input:"theta", tag:"mi", output:"\u03B8", tex:null, ttype:CONST}, {input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST}, {input:"Theta", tag:"mo", output:"\u0398", tex:null, ttype:CONST}, {input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST}, {input:"xi", tag:"mi", output:"\u03BE", tex:null, ttype:CONST}, {input:"Xi", tag:"mo", output:"\u039E", tex:null, ttype:CONST}, {input:"zeta", tag:"mi", output:"\u03B6", tex:null, ttype:CONST}, //binary operation symbols {input:"*", tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST}, {input:"**", tag:"mo", output:"\u22C6", tex:"star", ttype:CONST}, {input:"//", tag:"mo", output:"/", tex:null, ttype:CONST}, {input:"\\\\", tag:"mo", output:"\\", tex:"backslash", ttype:CONST}, {input:"setminus", tag:"mo", output:"\\", tex:null, ttype:CONST}, {input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST}, {input:"-:", tag:"mo", output:"\u00F7", tex:"divide", ttype:CONST}, {input:"@", tag:"mo", output:"\u2218", tex:"circ", ttype:CONST}, {input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST}, {input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST}, {input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST}, {input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER}, {input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER}, {input:"^^", tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST}, {input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER}, {input:"vv", tag:"mo", output:"\u2228", tex:"vee", ttype:CONST}, {input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER}, {input:"nn", tag:"mo", output:"\u2229", tex:"cap", ttype:CONST}, {input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER}, {input:"uu", tag:"mo", output:"\u222A", tex:"cup", ttype:CONST}, {input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER}, //binary relation symbols {input:"!=", tag:"mo", output:"\u2260", tex:"ne", ttype:CONST}, {input:":=", tag:"mo", output:":=", tex:null, ttype:CONST}, {input:"lt", tag:"mo", output:"<", tex:null, ttype:CONST}, {input:"<=", tag:"mo", output:"\u2264", tex:"le", ttype:CONST}, {input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST}, {input:">=", tag:"mo", output:"\u2265", tex:"ge", ttype:CONST}, {input:"geq", tag:"mo", output:"\u2265", tex:null, ttype:CONST}, {input:"-<", tag:"mo", output:"\u227A", tex:"prec", ttype:CONST}, {input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST}, {input:">-", tag:"mo", output:"\u227B", tex:"succ", ttype:CONST}, {input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST}, {input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST}, {input:"in", tag:"mo", output:"\u2208", tex:null, ttype:CONST}, {input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST}, {input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST}, {input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST}, {input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST}, {input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST}, {input:"-=", tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST}, {input:"~=", tag:"mo", output:"\u2245", tex:"cong", ttype:CONST}, {input:"~~", tag:"mo", output:"\u2248", tex:"approx", ttype:CONST}, {input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST}, //logical symbols {input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE}, {input:"or", tag:"mtext", output:"or", tex:null, ttype:SPACE}, {input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST}, {input:"=>", tag:"mo", output:"\u21D2", tex:"implies", ttype:CONST}, {input:"if", tag:"mo", output:"if", tex:null, ttype:SPACE}, {input:"<=>", tag:"mo", output:"\u21D4", tex:"iff", ttype:CONST}, {input:"AA", tag:"mo", output:"\u2200", tex:"forall", ttype:CONST}, {input:"EE", tag:"mo", output:"\u2203", tex:"exists", ttype:CONST}, {input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST}, {input:"TT", tag:"mo", output:"\u22A4", tex:"top", ttype:CONST}, {input:"|--", tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST}, {input:"|==", tag:"mo", output:"\u22A8", tex:"models", ttype:CONST}, //grouping brackets {input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET}, {input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET}, {input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET}, {input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET}, {input:"{", tag:"mo", output:"{", tex:null, ttype:LEFTBRACKET}, {input:"}", tag:"mo", output:"}", tex:null, ttype:RIGHTBRACKET}, {input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT}, //{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT}, {input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET}, {input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET}, {input:"<<", tag:"mo", output:"\u2329", tex:null, ttype:LEFTBRACKET}, {input:">>", tag:"mo", output:"\u232A", tex:null, ttype:RIGHTBRACKET}, {input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true}, {input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true}, //miscellaneous symbols {input:"int", tag:"mo", output:"\u222B", tex:null, ttype:CONST}, {input:"dx", tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION}, {input:"dy", tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION}, {input:"dz", tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION}, {input:"dt", tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION}, {input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST}, {input:"del", tag:"mo", output:"\u2202", tex:"partial", ttype:CONST}, {input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST}, {input:"+-", tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST}, {input:"O/", tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST}, {input:"oo", tag:"mo", output:"\u221E", tex:"infty", ttype:CONST}, {input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST}, {input:"...", tag:"mo", output:"...", tex:"ldots", ttype:CONST}, {input:":.", tag:"mo", output:"\u2234", tex:"therefore", ttype:CONST}, {input:"/_", tag:"mo", output:"\u2220", tex:"angle", ttype:CONST}, {input:"\\ ", tag:"mo", output:"\u00A0", tex:null, ttype:CONST}, {input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST}, {input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST}, {input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST}, {input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST}, {input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST}, {input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST}, {input:"square", tag:"mo", output:"\u25A1", tex:null, ttype:CONST}, {input:"|__", tag:"mo", output:"\u230A", tex:"lfloor", ttype:CONST}, {input:"__|", tag:"mo", output:"\u230B", tex:"rfloor", ttype:CONST}, {input:"|~", tag:"mo", output:"\u2308", tex:"lceiling", ttype:CONST}, {input:"~|", tag:"mo", output:"\u2309", tex:"rceiling", ttype:CONST}, {input:"CC", tag:"mo", output:"\u2102", tex:null, ttype:CONST}, {input:"NN", tag:"mo", output:"\u2115", tex:null, ttype:CONST}, {input:"QQ", tag:"mo", output:"\u211A", tex:null, ttype:CONST}, {input:"RR", tag:"mo", output:"\u211D", tex:null, ttype:CONST}, {input:"ZZ", tag:"mo", output:"\u2124", tex:null, ttype:CONST}, {input:"f", tag:"mi", output:"f", tex:null, ttype:UNARY, func:true}, {input:"g", tag:"mi", output:"g", tex:null, ttype:UNARY, func:true}, //standard functions {input:"lim", tag:"mo", output:"lim", tex:null, ttype:UNDEROVER}, {input:"Lim", tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER}, {input:"sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true}, {input:"cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true}, {input:"tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true}, {input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true}, {input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true}, {input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true}, {input:"cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true}, {input:"sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true}, {input:"csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true}, {input:"log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true}, {input:"ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true}, {input:"det", tag:"mo", output:"det", tex:null, ttype:UNARY, func:true}, {input:"dim", tag:"mo", output:"dim", tex:null, ttype:CONST}, {input:"mod", tag:"mo", output:"mod", tex:null, ttype:CONST}, {input:"gcd", tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true}, {input:"lcm", tag:"mo", output:"lcm", tex:null, ttype:UNARY, func:true}, {input:"lub", tag:"mo", output:"lub", tex:null, ttype:CONST}, {input:"glb", tag:"mo", output:"glb", tex:null, ttype:CONST}, {input:"min", tag:"mo", output:"min", tex:null, ttype:UNDEROVER}, {input:"max", tag:"mo", output:"max", tex:null, ttype:UNDEROVER}, //arrows {input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST}, {input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST}, {input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST}, {input:"->", tag:"mo", output:"\u2192", tex:"to", ttype:CONST}, {input:"|->", tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST}, {input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST}, {input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST}, {input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST}, {input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST}, {input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST}, //commands with argument AMsqrt, AMroot, AMfrac, AMdiv, AMover, AMsub, AMsup, {input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true}, {input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true}, {input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true}, {input:"dot", tag:"mover", output:".", tex:null, ttype:UNARY, acc:true}, {input:"ddot", tag:"mover", output:"..", tex:null, ttype:UNARY, acc:true}, {input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true}, AMtext, AMmbox, AMquote, {input:"bb", tag:"mstyle", atname:"fontweight", atval:"bold", output:"bb", tex:null, ttype:UNARY}, {input:"mathbf", tag:"mstyle", atname:"fontweight", atval:"bold", output:"mathbf", tex:null, ttype:UNARY}, {input:"sf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY}, {input:"mathsf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY}, {input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:null, ttype:UNARY, codes:AMbbb}, {input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY, codes:AMbbb}, {input:"cc", tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:null, ttype:UNARY, codes:AMcal}, {input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY, codes:AMcal}, {input:"tt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"tt", tex:null, ttype:UNARY}, {input:"mathtt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY}, {input:"fr", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:null, ttype:UNARY, codes:AMfrk}, {input:"mathfrak", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY, codes:AMfrk} ]; function compareNames(s1,s2) { if (s1.input > s2.input) return 1 else return -1; } var AMnames = []; //list of input symbols function AMinitSymbols() { var texsymbols = [], i; for (i=0; i<AMsymbols.length; i++) if (AMsymbols[i].tex) texsymbols[texsymbols.length] = {input:AMsymbols[i].tex, tag:AMsymbols[i].tag, output:AMsymbols[i].output, ttype:AMsymbols[i].ttype}; AMsymbols = AMsymbols.concat(texsymbols); AMsymbols.sort(compareNames); for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input; } var AMmathml = "http://www.w3.org/1998/Math/MathML"; function AMcreateElementMathML(t) { if (isIE) return document.createElement("m:"+t); else return document.createElementNS(AMmathml,t); } function AMcreateMmlNode(t,frag) { // var node = AMcreateElementMathML(name); if (isIE) var node = document.createElement("m:"+t); else var node = document.createElementNS(AMmathml,t); node.appendChild(frag); return node; } function newcommand(oldstr,newstr) { AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr, tex:null, ttype:DEFINITION}]); } function AMremoveCharsAndBlanks(str,n) { //remove n characters and any following blanks var st; if (str.charAt(n)=="\\" && str.charAt(n+1)!="\\" && str.charAt(n+1)!=" ") st = str.slice(n+1); else st = str.slice(n); for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1); return st.slice(i); } function AMposition(arr, str, n) { // return position >=n where str appears or would be inserted // assumes arr is sorted if (n==0) { var h,m; n = -1; h = arr.length; while (n+1<h) { m = (n+h) >> 1; if (arr[m]<str) n = m; else h = m; } return h; } else for (var i=n; i<arr.length && arr[i]<str; i++); return i; // i=arr.length || arr[i]>=str } function AMgetSymbol(str) { //return maximal initial substring of str that appears in names //return null if there is none var k = 0; //new pos var j = 0; //old pos var mk; //match pos var st; var tagst; var match = ""; var more = true; for (var i=1; i<=str.length && more; i++) { st = str.slice(0,i); //initial substring of length i j = k; k = AMposition(AMnames, st, j); if (k<AMnames.length && str.slice(0,AMnames[k].length)==AMnames[k]){ match = AMnames[k]; mk = k; i = match.length; } more = k<AMnames.length && str.slice(0,AMnames[k].length)>=AMnames[k]; } AMpreviousSymbol=AMcurrentSymbol; if (match!=""){ AMcurrentSymbol=AMsymbols[mk].ttype; return AMsymbols[mk]; } // if str[0] is a digit or - return maxsubstring of digits.digits AMcurrentSymbol=CONST; k = 1; st = str.slice(0,1); var integ = true; while ("0"<=st && st<="9" && k<=str.length) { st = str.slice(k,k+1); k++; } if (st == decimalsign) { st = str.slice(k,k+1); if ("0"<=st && st<="9") { integ = false; k++; while ("0"<=st && st<="9" && k<=str.length) { st = str.slice(k,k+1); k++; } } } if ((integ && k>1) || k>2) { st = str.slice(0,k-1); tagst = "mn"; } else { k = 2; st = str.slice(0,1); //take 1 character tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi"); } if (st=="-" && AMpreviousSymbol==INFIX) { AMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse return {input:st, tag:tagst, output:st, ttype:UNARY, func:true}; } return {input:st, tag:tagst, output:st, ttype:CONST}; } function AMremoveBrackets(node) { var st; if (node.nodeName=="mrow") { st = node.firstChild.firstChild.nodeValue; if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild); } if (node.nodeName=="mrow") { st = node.lastChild.firstChild.nodeValue; if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild); } } /*Parsing ASCII math expressions with the following grammar v ::= [A-Za-z] | greek letters | numbers | other constant symbols u ::= sqrt | text | bb | other unary symbols for font commands b ::= frac | root | stackrel binary symbols l ::= ( | [ | { | (: | {: left brackets r ::= ) | ] | } | :) | :} right brackets S ::= v | lEr | uS | bSS Simple expression I ::= S_S | S^S | S_S^S | S Intermediate expression E ::= IE | I/I Expression Each terminal symbol is translated into a corresponding mathml node.*/ var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol; function AMparseSexpr(str) { //parses str and returns [node,tailstr] var symbol, node, result, i, st,// rightvert = false, newFrag = document.createDocumentFragment(); str = AMremoveCharsAndBlanks(str,0); symbol = AMgetSymbol(str); //either a token or a bracket or empty if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) { return [null,str]; } if (symbol.ttype == DEFINITION) { str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length); symbol = AMgetSymbol(str); } switch (symbol.ttype) { case UNDEROVER: case CONST: str = AMremoveCharsAndBlanks(str,symbol.input.length); return [AMcreateMmlNode(symbol.tag, //its a constant document.createTextNode(symbol.output)),str]; case LEFTBRACKET: //read (expr+) AMnestingDepth++; str = AMremoveCharsAndBlanks(str,symbol.input.length); result = AMparseExpr(str,true); AMnestingDepth--; if (typeof symbol.invisible == "boolean" && symbol.invisible) node = AMcreateMmlNode("mrow",result[0]); else { node = AMcreateMmlNode("mo",document.createTextNode(symbol.output)); node = AMcreateMmlNode("mrow",node); node.appendChild(result[0]); } return [node,result[1]]; case TEXT: if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length); if (str.charAt(0)=="{") i=str.indexOf("}"); else if (str.charAt(0)=="(") i=str.indexOf(")"); else if (str.charAt(0)=="[") i=str.indexOf("]"); else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1; else i = 0; if (i==-1) i = str.length; st = str.slice(1,i); if (st.charAt(0) == " ") { node = AMcreateElementMathML("mspace"); node.setAttribute("width","1ex"); newFrag.appendChild(node); } newFrag.appendChild( AMcreateMmlNode(symbol.tag,document.createTextNode(st))); if (st.charAt(st.length-1) == " ") { node = AMcreateElementMathML("mspace"); node.setAttribute("width","1ex"); newFrag.appendChild(node); } str = AMremoveCharsAndBlanks(str,i+1); return [AMcreateMmlNode("mrow",newFrag),str]; case UNARY: str = AMremoveCharsAndBlanks(str,symbol.input.length); result = AMparseSexpr(str); if (result[0]==null) return [AMcreateMmlNode(symbol.tag, document.createTextNode(symbol.output)),str]; if (typeof symbol.func == "boolean" && symbol.func) { // functions hack st = str.charAt(0); if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") { return [AMcreateMmlNode(symbol.tag, document.createTextNode(symbol.output)),str]; } else { node = AMcreateMmlNode("mrow", AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output))); node.appendChild(result[0]); return [node,result[1]]; } } AMremoveBrackets(result[0]); if (symbol.input == "sqrt") { // sqrt return [AMcreateMmlNode(symbol.tag,result[0]),result[1]]; } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent node = AMcreateMmlNode(symbol.tag,result[0]); node.appendChild(AMcreateMmlNode("mo",document.createTextNode(symbol.output))); return [node,result[1]]; } else { // font change command if (!isIE && typeof symbol.codes != "undefined") { for (i=0; i<result[0].childNodes.length; i++) if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") { st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue: result[0].childNodes[i].firstChild.nodeValue); var newst = []; for (var j=0; j<st.length; j++) if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst + String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]); else newst = newst + st.charAt(j); if (result[0].nodeName=="mi") result[0]=AMcreateElementMathML("mo"). appendChild(document.createTextNode(newst)); else result[0].replaceChild(AMcreateElementMathML("mo"). appendChild(document.createTextNode(newst)),result[0].childNodes[i]); } } node = AMcreateMmlNode(symbol.tag,result[0]); node.setAttribute(symbol.atname,symbol.atval); return [node,result[1]]; } case BINARY: str = AMremoveCharsAndBlanks(str,symbol.input.length); result = AMparseSexpr(str); if (result[0]==null) return [AMcreateMmlNode("mo", document.createTextNode(symbol.input)),str]; AMremoveBrackets(result[0]); var result2 = AMparseSexpr(result[1]); if (result2[0]==null) return [AMcreateMmlNode("mo", document.createTextNode(symbol.input)),str]; AMremoveBrackets(result2[0]); if (symbol.input=="root" || symbol.input=="stackrel") newFrag.appendChild(result2[0]); newFrag.appendChild(result[0]); if (symbol.input=="frac") newFrag.appendChild(result2[0]); return [AMcreateMmlNode(symbol.tag,newFrag),result2[1]]; case INFIX: str = AMremoveCharsAndBlanks(str,symbol.input.length); return [AMcreateMmlNode("mo",document.createTextNode(symbol.output)),str]; case SPACE: str = AMremoveCharsAndBlanks(str,symbol.input.length); node = AMcreateElementMathML("mspace"); node.setAttribute("width","1ex"); newFrag.appendChild(node); newFrag.appendChild( AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output))); node = AMcreateElementMathML("mspace"); node.setAttribute("width","1ex"); newFrag.appendChild(node); return [AMcreateMmlNode("mrow",newFrag),str]; case LEFTRIGHT: // if (rightvert) return [null,str]; else rightvert = true; AMnestingDepth++; str = AMremoveCharsAndBlanks(str,symbol.input.length); result = AMparseExpr(str,false); AMnestingDepth--; var st = ""; if (result[0].lastChild!=null) st = result[0].lastChild.firstChild.nodeValue; if (st == "|") { // its an absolute value subterm node = AMcreateMmlNode("mo",document.createTextNode(symbol.output)); node = AMcreateMmlNode("mrow",node); node.appendChild(result[0]); return [node,result[1]]; } else { // the "|" is a \mid node = AMcreateMmlNode("mo",document.createTextNode(symbol.output)); node = AMcreateMmlNode("mrow",node); return [node,str]; } default: //alert("default"); str = AMremoveCharsAndBlanks(str,symbol.input.length); return [AMcreateMmlNode(symbol.tag, //its a constant document.createTextNode(symbol.output)),str]; } } function AMparseIexpr(str) { var symbol, sym1, sym2, node, result, underover; str = AMremoveCharsAndBlanks(str,0); sym1 = AMgetSymbol(str); result = AMparseSexpr(str); node = result[0]; str = result[1]; symbol = AMgetSymbol(str); if (symbol.ttype == INFIX && symbol.input != "/") { str = AMremoveCharsAndBlanks(str,symbol.input.length); // if (symbol.input == "/") result = AMparseIexpr(str); else ... result = AMparseSexpr(str); if (result[0] == null) // show box in place of missing argument result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1")); else AMremoveBrackets(result[0]); str = result[1]; // if (symbol.input == "/") AMremoveBrackets(node); if (symbol.input == "_") { sym2 = AMgetSymbol(str); underover = (sym1.ttype == UNDEROVER); if (sym2.input == "^") { str = AMremoveCharsAndBlanks(str,sym2.input.length); var res2 = AMparseSexpr(str); AMremoveBrackets(res2[0]); str = res2[1]; node = AMcreateMmlNode((underover?"munderover":"msubsup"),node); node.appendChild(result[0]); node.appendChild(res2[0]); node = AMcreateMmlNode("mrow",node); // so sum does not stretch } else { node = AMcreateMmlNode((underover?"munder":"msub"),node); node.appendChild(result[0]); } } else { node = AMcreateMmlNode(symbol.tag,node); node.appendChild(result[0]); } } return [node,str]; } function AMparseExpr(str,rightbracket) { var symbol, node, result, i, nodeList = [], newFrag = document.createDocumentFragment(); do { str = AMremoveCharsAndBlanks(str,0); result = AMparseIexpr(str); node = result[0]; str = result[1]; symbol = AMgetSymbol(str); if (symbol.ttype == INFIX && symbol.input == "/") { str = AMremoveCharsAndBlanks(str,symbol.input.length); result = AMparseIexpr(str); if (result[0] == null) // show box in place of missing argument result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1")); else AMremoveBrackets(result[0]); str = result[1]; AMremoveBrackets(node); node = AMcreateMmlNode(symbol.tag,node); node.appendChild(result[0]); newFrag.appendChild(node); symbol = AMgetSymbol(str); } else if (node!=undefined) newFrag.appendChild(node); } while ((symbol.ttype != RIGHTBRACKET && (symbol.ttype != LEFTRIGHT || rightbracket) || AMnestingDepth == 0) && symbol!=null && symbol.output!=""); if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) { // if (AMnestingDepth > 0) AMnestingDepth--; var len = newFrag.childNodes.length; if (len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 && newFrag.childNodes[len-2].nodeName == "mo" && newFrag.childNodes[len-2].firstChild.nodeValue == ",") { //matrix var right = newFrag.childNodes[len-1].lastChild.firstChild.nodeValue; if (right==")" || right=="]") { var left = newFrag.childNodes[len-1].firstChild.firstChild.nodeValue; if (left=="(" && right==")" && symbol.output != "}" || left=="[" && right=="]") { var pos = []; // positions of commas var matrix = true; var m = newFrag.childNodes.length; for (i=0; matrix && i<m; i=i+2) { pos[i] = []; node = newFrag.childNodes[i]; if (matrix) matrix = node.nodeName=="mrow" && (i==m-1 || node.nextSibling.nodeName=="mo" && node.nextSibling.firstChild.nodeValue==",")&& node.firstChild.firstChild.nodeValue==left && node.lastChild.firstChild.nodeValue==right; if (matrix) for (var j=0; j<node.childNodes.length; j++) if (node.childNodes[j].firstChild.nodeValue==",") pos[i][pos[i].length]=j; if (matrix && i>1) matrix = pos[i].length == pos[i-2].length; } if (matrix) { var row, frag, n, k, table = document.createDocumentFragment(); for (i=0; i<m; i=i+2) { row = document.createDocumentFragment(); frag = document.createDocumentFragment(); node = newFrag.firstChild; // <mrow>(-,-,...,-,-)</mrow> n = node.childNodes.length; k = 0; node.removeChild(node.firstChild); //remove ( for (j=1; j<n-1; j++) { if (typeof pos[i][k] != "undefined" && j==pos[i][k]){ node.removeChild(node.firstChild); //remove , row.appendChild(AMcreateMmlNode("mtd",frag)); k++; } else frag.appendChild(node.firstChild); } row.appendChild(AMcreateMmlNode("mtd",frag)); if (newFrag.childNodes.length>2) { newFrag.removeChild(newFrag.firstChild); //remove <mrow>)</mrow> newFrag.removeChild(newFrag.firstChild); //remove <mo>,</mo> } table.appendChild(AMcreateMmlNode("mtr",row)); } node = AMcreateMmlNode("mtable",table); if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left"); newFrag.replaceChild(node,newFrag.firstChild); } } } } str = AMremoveCharsAndBlanks(str,symbol.input.length); if (typeof symbol.invisible != "boolean" || !symbol.invisible) { node = AMcreateMmlNode("mo",document.createTextNode(symbol.output)); newFrag.appendChild(node); } } return [newFrag,str]; } function AMparseMath(str) { var result, node = AMcreateElementMathML("mstyle"); if (mathcolor != "") node.setAttribute("mathcolor",mathcolor); if (displaystyle) node.setAttribute("displaystyle","true"); if (mathfontfamily != "") node.setAttribute("fontfamily",mathfontfamily); AMnestingDepth = 0; node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false)[0]); node = AMcreateMmlNode("math",node); if (showasciiformulaonhover) //fixed by djhsu so newline node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko if (mathfontfamily != "" && (isIE || mathfontfamily != "serif")) { var fnode = AMcreateElementXHTML("font"); fnode.setAttribute("face",mathfontfamily); fnode.appendChild(node); return fnode; } return node; } function AMstrarr2docFrag(arr, linebreaks) { var newFrag=document.createDocumentFragment(); var expr = false; for (var i=0; i<arr.length; i++) { if (expr) newFrag.appendChild(AMparseMath(arr[i])); else { var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]); newFrag.appendChild(AMcreateElementXHTML("span"). appendChild(document.createTextNode(arri[0]))); for (var j=1; j<arri.length; j++) { newFrag.appendChild(AMcreateElementXHTML("p")); newFrag.appendChild(AMcreateElementXHTML("span"). appendChild(document.createTextNode(arri[j]))); } } expr = !expr; } return newFrag; } function AMprocessNodeR(n, linebreaks) { var mtch, str, arr, frg, i; if (n.childNodes.length == 0) { if ((n.nodeType!=8 || linebreaks) && n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" && n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" && n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE") { str = n.nodeValue; if (!(str == null)) { str = str.replace(/\r\n\r\n/g,"\n\n"); if (doubleblankmathdelimiter) { str = str.replace(/\x20\x20\./g," "+AMdelimiter1+"."); str = str.replace(/\x20\x20,/g," "+AMdelimiter1+","); str = str.replace(/\x20\x20/g," "+AMdelimiter1+" "); } str = str.replace(/\x20+/g," "); str = str.replace(/\s*\r\n/g," "); mtch = false; str = str.replace(new RegExp(AMescape2, "g"), function(st){mtch=true;return "AMescape2"}); str = str.replace(new RegExp(AMescape1, "g"), function(st){mtch=true;return "AMescape1"}); str = str.replace(new RegExp(AMdelimiter2regexp, "g"),AMdelimiter1); arr = str.split(AMdelimiter1); for (i=0; i<arr.length; i++) arr[i]=arr[i].replace(/AMescape2/g,AMdelimiter2). replace(/AMescape1/g,AMdelimiter1); if (arr.length>1 || mtch) { if (checkForMathML) { checkForMathML = false; var nd = AMisMathMLavailable(); AMnoMathML = nd != null; if (AMnoMathML && notifyIfNoMathML) if (alertIfNoMathML) alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\n\ or Firefox/Mozilla/Netscape"); else AMbody.insertBefore(nd,AMbody.childNodes[0]); } if (!AMnoMathML) { frg = AMstrarr2docFrag(arr,n.nodeType==8); var len = frg.childNodes.length; n.parentNode.replaceChild(frg,n); return len-1; } else return 0; } } } else return 0; } else if (n.nodeName!="math") { for (i=0; i<n.childNodes.length; i++) i += AMprocessNodeR(n.childNodes[i], linebreaks); } return 0; } function AMprocessNode(n, linebreaks, spanclassAM) { var frag,st; if (spanclassAM!=null) { frag = document.getElementsByTagName("span") for (var i=0;i<frag.length;i++) if (frag[i].className == "AM") AMprocessNodeR(frag[i],linebreaks); } else { try { st = n.innerHTML; } catch(err) {} if (st==null || st.indexOf(AMdelimiter1)!=-1 || st.indexOf(AMdelimiter2)!=-1) AMprocessNodeR(n,linebreaks); } if (isIE) { //needed to match size and font of formula to surrounding text frag = document.getElementsByTagName('math'); for (var i=0;i<frag.length;i++) frag[i].update() } } var AMbody; var AMnoMathML = false, AMtranslated = false; function translate(spanclassAM) { if (!AMtranslated) { // run this only once AMtranslated = true; AMinitSymbols(); AMbody = document.getElementsByTagName("body")[0]; AMprocessNode(AMbody, false, spanclassAM); } } if (isIE) { // avoid adding MathPlayer info explicitly to each webpage document.write("<object id=\"mathplayer\"\ classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>"); document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>"); } // GO1.1 Generic onload by Brothercake // http://www.brothercake.com/ //onload function (replaces the onload="translate()" in the <body> tag) function generic() { translate(); }; //setup onload function if(typeof window.addEventListener != 'undefined') { //.. gecko, safari, konqueror and standard window.addEventListener('load', generic, false); } else if(typeof document.addEventListener != 'undefined') { //.. opera 7 document.addEventListener('load', generic, false); } else if(typeof window.attachEvent != 'undefined') { //.. win/ie window.attachEvent('onload', generic); } //** remove this condition to degrade older browsers else { //.. mac/ie5 and anything else that gets this far //if there's an existing onload function if(typeof window.onload == 'function') { //store it var existing = onload; //add new onload handler window.onload = function() { //call existing onload function existing(); //call generic onload function generic(); }; } else { //setup onload function window.onload = generic; } }