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% % % % NOTE: % The following is a sample TeX file including equations % generated by EquationBuilder. Each equation is proceeded % by TeX comments that are of this form: % % EquationBuilder(TM) Expression % . % . % . % EndExpression N 1761 6e1 E 2 S 31948 R 3eb69714 % % This is the binary form of the equation that EqB understands. % To later edit the equation, copy all the lines beginning with % % EquationBuilder(TM) Expression and ending with % % EndExpression ..... % and paste them into an EqB window. Your equation ought to reappear % for editing. % % If you wish to not use this feature, you may turn off inclusion of % these encoded equation via the EqB Preferences panel. % % % \count0=2 \bf Digital Tool Works Boston \vskip 1in\rm\centerline{EquationBuilder Produces \TeX{} Equations}\centerline{July, 1992} \vskip .5in\rm This \TeX\ file contains three sample equations created with EquationBuilder -- the first fully functional equation editor running under NeXTSTEP. Inside the \TeX\ file, binary representations of each equation are kept within \TeX\ comments for later re-editing with EquationBuilder. To re-edit an equation, simply select the comment lines and pick Edit Equation from the Services menu. \vskip .5in\sl Examples of \rm\TeX{}\sl Output created with EquationBuilder: \vskip .25in % EquationBuilder(TM) Expression % +.\Jr(=:/*V[StRFQAYmdjEEA;1nuN+[co.OZ7L#cq3iK%2k$+XJ@:d#6;^G;Td47dud<A3@ % 5%MGToUOR5&d`'TuEDU)B-tbQp(9TYMZo$%1AB1o/'G4.$!J@%'XN+<dSQo&NAu!0B3^J.r> % 9!)cKW#bXk*U/=Z(49-oE.^14R$o;/l8C]4*!!*+H,L-<t8.n?X$%fBQF2goc3cE`"m.r[s) % ,$,JB0K">8K*6_j9A."T^*@25e7q)d,YY*Rrr&$fq^WliD-$SR'r.R0S:`naJ<eh7S]PtP%e % S&F;r^0dkc;K<%oUo)_nLX:I[#@9l]RC-&$)/R#h<A;F)&-A28ZBM?,u<K!32@i<2U'^_s*, % PihLhi'nP5l)b3+I&\:p8g".b@:(J`O_4rN!.Y[^HO.n5OW0$KR,3N%&u(7/Ue!9#/"i+s&H % aJeTb0eT5pi"Lb=P6uH5MO<@/rGA.)Z;_M4tl/!BO9h+V87OMi@o&QlmQQfLJd@7$OrY)em[ % h&pTis=_%N0`R%hPP5N1-Kcjt5*t01HR&5ZT`[OFYFB1@K!'^Gbb+3hG#s\hHFKoJM;E`[oR % 2.hD?RouBkbKK9PUX^/.8!0f!^[;sgi5*46),\n$KtoP#-&Qg$C:ZlO;o1P+U=>k(+DKs:hg % aTU8@,\B6g-%g=uZuP)0XBDa"JbIC3`HClnfX)<-i.h?a1O81I96U4b3]C80%+nkZ#o3_@Bm % Bp?f-ID?9E>QD#?dVEIYr-IF]7^.a`N3GpK:33`S,%P<PaBNLnmp,bVN^t!Z0Ws%t,`7$=8l % Dmp[$$i<_.k#QYTt#@]5=g2K$19JhgYK:4He43EM`)<(3#DOqQ!a"!g@m0`k"W="M1&Xr+3K % N2LtC_ZA;b%S,qtJB)m*1h'\h@$M%i&K*"s7`]f=G-FVWGrN%7N80Tko/2o@@_["*26BGit* % 3<`m$pC484D,H(cPqof2^(VZghkJ2cWR0oGXh(Be5H`)#bg@BH+2@bVL>Q'#YOZ=,^QLf.HP % N7m'VEGfOoA>qg*X"Y#"Ip?TX^ANa'71f>'&As%7<!c'mau2_GG1U:][8WgO75\^/"[&:63Z % I.B`gl#$$!mi]^_Opo0ImC0^@nIrP/c9:Zm@QSt\R=5*]`L:AC\&MsY&,sY]Fr`TbcrV9B,Z % RBu`TEe:c?<g*dpBU@@to-6.q30'=RFUg]?IKfDfd5B!%%/#]TGbqHg=o9<.Qm&%1[-+HWoF % /Fu;$T&9?`%S,?/d3B'J1K6\l7Af1;,eBLL+1<U(8E>(,`"Te[UJ7.1Yn\ZJQ:bt=(6jDr^- % bt"hBd#<<iVWg,`A+N>79goJ8+]/8&.nn7r8Amq2a@=^Ne:(@*#(][`Xsgu)3,7umgAhROMO % Ekp0!)]k_MPFV2^+*!rt#7Ysh50n;!D,TdIk%_Bs0jH"R86!)iI-VG4=T<SS6!G^od94L+t* % bD^:q;ukCs5WX^h!Z]'2L,.iULSG\iDFB7J!5u0tfV4(JUf#<>T!)1_q-bf#VBufDWg:QPSd % tiUMnMPi%EPP\1NAhkBJF@-=C`cM,3cWnWkoP7P$fpP8-mcM'*,p(?Gq:p%-,n+LW=)d(R*7 % [NW"s1e.c4;k@qS?:.'s5"Md7fLok#HZC?j7+omr!`FjR<)V;$$4I''mDq&ir(<rb[`j\\CA % Fu539ZPuu)GlP/<.tQ/j:B/u`H$>\*K5Xn#JW^A0=I'Ri]O,%aOsF<.'T$6OQR/M+iKn"Of1 % bYAcMt<`(6bFBpO/#iM];T`EB<_[7"aOmC5KNIaK6*>\[@S+N&7)<MQPjh\XV]_m_'p!_&Y& % KA`3JY[X9))sj49UFJ\EB%!\*6t-/[\lEQ@DM)AoJ6g(hJX@JfTeb.K<22ueWVuJpE0R+pJ% % /FiXYTr(po..g+B8*R<NmqqV[ik0"2&qYZ6,Sd-EDG]H^aZ(C?fQ=_TIJ7[['3<-u2pVMq/i % IPsN?*X)3E,>,=!`Xpd(;CD.'029Jt.DQN5?T3KsT)>&kr'gc$!bFg1Aep3??g/DL.8aKbAZ % RL%^,:bUm]iN^t<S_15O))qe?@eKTMUH)=n6bA`TF95.m!>eghFhJTW`UON(;\0:oe?`g$mN % T7]9Q^c$(ru-;8<b.+GVte.UP9RXb[=J#uDaP/peF-*uL(>"))?K<(K@q<71gs6m`=[ck$;" % ]]2#Z+:3,q_d^WY+U&FFa$Oa)L)FOD+96t3<kcM-!<<*"x % EndExpression N 1761 6e1 E 2 S 31948 R 3eb69714 $$ \eqalign{\varphi _n=\varphi _n^{\left(0\right)}+\sum_{i\not=n}&\left\lbrack {{H_{in}^\prime \over E_n^{\left(0\right)}-E_i^{\left(0\right)}}-{H_{nn}^\prime H_{in}^\prime \over {\left({E_n^{\left(0\right)}-E_i^{\left(0\right)}}\right)}^2}}\right.\cr &\quad +\sum_{k\not=n}\left.{H_{ik}^\prime H_{kn}^\prime \over \left({E_n^{\left(0\right)}-E_i^{\left(0\right)}}\right)\left({E_n^{\left(0\right)}-E_k^{\left(0\right)}}\right)}\right\rbrack \varphi _i^{\left(0\right)}\cr } $$ \vskip .25in % EquationBuilder(TM) Expression % +.\Jr(=:/*V[StRFQAYmdjEEA;1nuN+[co.OZ7L#cq3iK%2k$+XJ@:d#6;^G;Td47dud<A3@ % 5%MGToUOR5&d`'TuEDU)B-tbQp)4jMdc8B(EJN,\.Xe5aVNO?trFcdhPZ(ng$U'aIG7U$3_% % B.4-2@:o6(s-moHF!1!m*fFgQ+R4\Q:k*6:(J:P9Ek5[1]M;m28DqNjHU\H(c+EZJI+_+*,A % ]of70M-mN5hl?R#&rBR"%X6G$Dulu,:5-Uac6rA5nc`5lcGVKB.D[Ce6kTEKLuC_i0)1^.OY % K$;+c*F6\ZJSA>>9^S(hI=l/qBf&?4UlN&N]G4CXB>L)U[Q_^8*I1j!&5cY[qdU##f>a"WL! % D*k`'?'YhA&BI;,%K')A^_:aMObOg_jUn.sXDg*`."ltgfdkhep)O.OM+7hsb(TlP8O]uea$ % A9kB,QL!Fn[%-i;kXhGj&kI+a4!H-3J`9>..(Zh@3PVN?a`*5Rc!C.ERZ+H>'+1,g'ReOWY^ % %j$-VjW9&hua<HHm:SJ*;AJN40@>:*h6_p&J2YRQ#\$YrXG]Ab2URa+H&.=tn7<<+-H!1NQ, % _ALBAV`m?(m,54:>%$D>V>lL.?Yr$8Mc0sk@C$p8I8jc2_)9:FD"Kb+biaH1FT#pc:LQtQFX % $ZN2.f"kANE4b2]*hY4LqTbo%GdY^&_!7\k]4=t,u$8huDPk=Dn=R:raLkWR!F.OUdREI04- % hX1_VYEF^rS"GH?cu#bg1jPM$j#1,AQ'P<>.C671R?&Wl8.kp2WiF2+AIZ;QX/r[#P&S)kk% % Vu0Q9Dl5Ya8Xg0T#<@W\MH1&e],scLQ=],S*F$JKu%VROuIgP"5t\0DDoPP:(2EmAuZ9%(!k % d9B,Q^LW6!naRWMH1rssn@^<_o8iiOh.7hm=,Vcf6E2\]7X<[m>9*2,PjHaORfOKgXEOcZ=J % G-$M'65uSWJ[g[P>*%An7?nF>jfPCo)7mJ<u`5X)dsQ.FLh05]B.Mh4sA#^P$C;Wh$+r^L>L % il[^k:l!e0QKT+gU&)b8p$2X64<$i/g.:L/]#Bh6[,esLN<CS!?2>r*lf?e,JF4Bj^+kdlXH % #eJ'GIT[cn*0PX#cqE9-Y"m$?B@QX,q1g6B%g%4Ph._qL@0]I<R2fY*;2/_:$rB8/Bn/N8JT % Je<6Q055i;`fW$t'&D@6aY&:/:s2QluA5U'1VV#Clf."!K'Y!2L_@?'$0?:b[n?*,o@l.L\` % [0SDL.@1I4[9k83aR@RU/'SOR2-kIMf4Ue.t$qPmLb-M't\47hsOFh#[i.geV^kZb,@M7l9L % A$S"4:4=t&;?45li\L4%E)]eJ07-0!oXan0E_@Ux % EndExpression N 1066 42a E e8 S 1d644 R 93619988 $$ A=\left(\matrix{a_{11}&a_{12}&\cdots &a_{1n}\cr a_{21}&a_{22}&\cdots &a_{2n}\cr \vdots &\vdots &\ddots &\vdots \cr a_{m1}&a_{m2}&\cdots &a_{mn}\cr }\right) $$ \vskip .25in % EquationBuilder(TM) Expression % +.\Jr(=:/*V[StRFQAYmdjEEA;1nuN+[co.OZ7L#cq3iK%2k$+XJ@:d#6;^G;Td47dud<A3@ % 5%MGToUOR5&d`'TuEDU)B-tbQp'N5f4]g7P_du1^&?09pbn\@%)2:&>u"Bng$U'aIG7U$3_% % B-mg)?:o6(s-moHF!1!m*fFgQ+R4\W<k*68R!eIurk5[1]M;m28DqNjHU\H(c+EZJI+_+*,A % ]of70M-mN5hl?R&ocZi"%X6G%%bN`PK$<63I)`?-Blu#VS\lh%2_7GZsa,:o!B!m=SCg56dW % J(:A_=Egn4ib&g1.'VuW/X##IT?!/OS0Po)9HTL^"]".>3j%XkQ1lNOSH7l;BQ+K9A$MdfI1 % [sRGn!AGU?&]%n3+n#GNSU?*`,"X2GS0A7id>^X.""CLK&P$`;GM-j3<L=mWnHmhjJH>BC8g % &4h@3Hd$#gq@AYsgS(HFC5:+FFUGf3Jd\IAl1^!=maf*92GkA;C>H6HFVArA#XK4ebKcGRd2 % 'V1L!3M2H^ZrDH1J>))gEJjl8%a=7E-fqTh/85bBla](feOuY;^,Xi.R;$ItR[#kP50/6Ot, % gJXk^h>ItG+fLgKRjelL0b&nF97CJK5[2`2@ZOk4F*>P>EW*"GIAbW.WeCBC)Jt,VWhSYDI@ % `-XCgnAjf)TZ#Gi]UqPWY2-MkgGYd-m\N?mLS@SVWup'Af*j)o+iV]cBYlEBQ=g817;\gg:\ % \[kopMKlL"A[0^aMl*i^\4^Xd>hU"0]a>)Z!!#4`@P>LqhNpP9?.]BM#])>-X(@-RbN$,Bg1 % `.5TFu:gAc6k#l78l<QEd%@%M7s*\1B1fa:@YGEN`oE4>OjqRQI,e"\=f,,Rm!hF2ZQt>HB* % :js*G^G07+dYTnV_@k2_#F#5<!&i)0GX?-0X"tpo%9?33'%J$\FA?BGp-AS.tW@Q^0[b/UBS % #cmYQlq4mG2h1te`+<Y2L'$rGa[E$.nsriIolP`%XVF81?)riMW,Rm9AB'`%`TV_%?feFo=F % TlHfns>Ism^sM+>L;aeT0eX4j<r*])u.,9[@,P!H;J]BmO182O*I0T4GI=b4'<=Q'.Y(8V74 % #2tjkTC'(RJW]`YKK*h:oZrG27e0S60?Nq@s2mh%CU?3Qj/5@77HEf1%f;RoYi!"5c6N:lQa % b<,2]%WJT8/sRZV9mg#;M6qCOl,rSWP*/"8VK2JR8c"FmOgcJ+_!:!<^-Q$7:QNd"2MdJ7,t % r6P0J1Tal+1_].Z5.Eh&\IDmC(-:!+^\a3`QI:,;A$p^Hh:a&XbBn6sD'*^B,L]K_V6P,GHL % G/^C$j9Hn&q_Tc`/nCrqtaA*J=o=R>_2s1zx % EndExpression N 1065 429 E db S 1d445 R 8a19b767 $$ J_p=-qD_p{\left.{\partial n_p\over \partial x}\right\vert }_{-x_p}={qD_pp_{no}\over L_p}\left({e^{q{V / kT}}-1}\right) $$ \vskip .5in \sl{For more information, please contact:} \vskip .15in \rm Digital Tool Works 100 Charles St, Ste D Boston, MA 02114 (617) 742-4057 E-mail: EqB@dtw.com \end