home *** CD-ROM | disk | FTP | other *** search
/ NeXTSTEP Products & Services 1994 Summer / NeXTSTEP Products & Services 1994 Summer.iso / AlembicDemo.app / EquationBuilder / examples.tex < prev   
Text File  |  1994-03-10  |  8KB  |  157 lines

  1. %
  2. %
  3. %
  4. %  NOTE:
  5. %  The following is a sample TeX file which includes equations
  6. %  generated by EquationBuilder. Each equation is proceeded by
  7. %  TeX comments that are of this form:
  8. %
  9. % EquationBuilder(TM) Expression
  10. %   .
  11. %   .
  12. %   .
  13. % EndExpression N 1761 6e1 E 2 S 31948 R 3eb69714
  14. %
  15. %  This is the binary form of the equation that EqB understands.
  16. %  To later edit the equation, copy all the lines beginning with
  17. %  % EquationBuilder(TM) Expression  and ending with
  18. %  % EndExpression .....
  19. %  and paste them into an EqB window.  Your equation ought to reappear
  20. %  for editing.
  21. %
  22. %  If you do not wish use this feature, you may turn off inclusion of
  23. %  these encoded equations via the EqB Preferences panel.
  24. %
  25. %
  26. %
  27.  
  28. \count0=2
  29. \bf
  30. Digital Tool Works
  31.  
  32. Boston
  33.  
  34. \vskip 1in\rm\centerline{EquationBuilder Produces \TeX{} Equations}\centerline{December, 1992}
  35.  
  36. \vskip .5in\rm
  37. 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.
  38.  
  39. \vskip .5in\sl
  40. Examples of \rm\TeX{}\sl Output
  41.  
  42. created with EquationBuilder:
  43. \vskip .25in
  44.  
  45. % EquationBuilder(TM) Expression
  46. % +.\Jr(=:/*V[StRFQAYmdjEEA;1nuN+[co.OZ7L#cq3iK9qVJ=-k`bIVT^%\'GF"d1C$ZF11
  47. % fO>,\5hi(c>mEciHs6;PAnY:_GHLe;Sn[K8:pX@VjDQ&gQgP!W^$8,,U!GP`"bT-QrOVk0*j
  48. % (.$+F"1C54T18Tgs3GIs_YXGG*Q5DC$F:gd'03%uT"RqC1#Cmsh'F?&k_C!MF2aQZ?Ba@UIj
  49. % N/KL=H^UjF(,2EdNAr`2aA8^?an)VdNpW"-?%PtX<TguVTtS@G62=u[11]D)*F$K-B4KKEq3
  50. % J4m,Bp9:V&h$83I&770QW\Zk3suH00uOcli&md^c/Md1$a%5a3as!gc^f:dHf9LkoOBX9ufn
  51. % &@5r<!0Bg$C)E+9!_'Hsa$A^r?qP(q&[Im7W43))J:sl,MLPL!#9\c$(g%,uko!AB!2'H+hg
  52. % cVcf\_/Z%N(<IL7%1rMBHfHhhrRK6Ad%g8Fd*9l;>L88o/1Z&S.%ZpY^*=T(q0")=#itN#5%
  53. % 6_^ar.dM[->8ll?C,BB)CPSR0Mif5)"8-g^M;Ub[YAMht-)K`pITQt1))*hpk!*?$C^S$E-N
  54. % \"AUURMk3:ns82<p=(_LSh#FIej)Laq'i;(k@F5of8_*LT7=%V$"="k`)H7MPVT1&1YdV7)h
  55. % fS!^[`ZS8q>9p7rsAN[j.EM7WPWMug"fX)J6aU!Xg"m.k47!e`n].\0"<k`e(GlXks+I$/>g
  56. % ",o5g2VU^4k*<t"!fDQ:FG=\#'W0P8Rog.+bD)[12Qs?dhTN'kWfif[X8%,Lb!2qm.e'/\%?
  57. % STJIMiF8[!p.1DJ/0p4/S-0331MkdW22p[FTZG)*8n'g"AIO,!9h1!?fdn,V[\_0X6cfb\.!
  58. % N(aq"L3U^"NbFIZ-o>@N<HaD-]6Rjn1WA],Xdo\5=[CW9M)NQ0:8<QcN)mA&&b*!Icnt64=?
  59. % *)@/(L_;rD.eg7,Rq9>o?7<^ZLu_3VJ%EU3blg:V`33:YetDN9h<)uA)1VrGY:@(g!+W9G1?
  60. % 4D:3Ct:(l7nJ]9R_e#C<TNq(?`0L:Z2nNf\S=mJ:ZRfA9P#38oU9g?Hkc07L=l9tu$:i3.SP
  61. % M<l_AHG&;>CAg9b=as%7jsG#iZg(9V@UM9gSK-e>6VC;Zb(QF9_qL[C0RN3ik&Rg*S>3SWm;
  62. % D25FSk843lLo7X4lD/=23_]m;n?s)"eT_Yj!0i;Nf[`,^pkm+coEHm,Q;'!9cE<h/.cJ]H@%
  63. % WTtdm)!ea%LetB=a_9]g\DCd=]mK30n^HiB!%?0'D"!i^O8>6HSaFa#*pqWsc/:F'L?^ON21
  64. % !Z.03W[T0q9X)hcDVn=P$gWbS&RKU1bjnbeC^GTYf1u%_KJ?.?M+MH.5#J[GLd^t(1i<7FsW
  65. % 5i7I6-U,XKF4@*XY`X.u/sLIBEmEJ`iC9HX<XLbcE>MdK_",@RK@!$K.@DF1*"o,,.@Y`X-J
  66. % 7,6TDM+J*n09,`/J0Yn%LfIX,Q&cdA-Ip1&)t$OHD9Ps-Is8@Ldd`(5P(A1gjhsCc1IJV3Ua
  67. % i@RaNZ86'=,P$/N]BEC#Z@cW<@nTLm1Ok!We>6bh[X>a-k_9W;rosJTVY_"ZV0D$tUiT.n<H
  68. % /hA?NFo/,S]#?2'58Y_I@*1sWpl,m&j;jf0\B0if4aB=`?=_iOh,ommj6"4M7ELc5[CZn$!8
  69. % e72t]1']O#gb7<!dpM@j=nq^^-re>I:ujG0c17JA8KbJK3G'F.sfDP[^;q1X5l)qqSJa(@&U
  70. % iqV\d5W[u\fiQ*+AH/"beCBj@m*1I^@Q!Uu)<hJA<[jf).+>04"GE3&6U-nr@BJ@$X<Tc=5M
  71. % ;fh``gpo0[Xt5>Ydh,:VHM!"XIAoJ'RSj.<_k]N97hlE4&"<'!UQDS<@k!ho!!lu-RZqDB4h
  72. % 82Am4tGjSZM<mkdW_N'rm2aa!r[Qg'%>9Ym7]!J-[#k!&R`W3=UKA+PXKXmZt/Z`;jM<3]"T
  73. % p<gSU%ASuuZ>)NmSP]_]7C+0_LeUF0pUkP172(MGIG-cCeN20koX2k:.@'Qb$!CQ%f>JdOD"
  74. % X_JG%#3Nac$n*IaT_'Y2eq(56LZ3N=RCK#EeDu@2n#]UXm!p.?JLh_#jmVI7,hEW,LBMp`V"
  75. % +]_5l>rX-L1+>HJH;CZ1=2!P9-'mV0:[?fZgF^>bq=GFSFX(cN0u!r215^+%4Y#./K/XR$Z5
  76. % 4@2$<pEN$0mROj-iTOm``GWog<s+QFjrP2I1S397=h*PCOo`N\<3^qZ-@iuZ7KGlTK,j"R/U
  77. % @'NXk#U.-:!-4]'Q+=I:,;A$m;;K:a$9b?qCa%0UXW)5t2:XF.h^CJgA\d%#l-WN"hpu5mnh
  78. % oA8l%U/s51%"NV,Sx
  79. % EndExpression N 1855 73f E 4a S 3701a R cd98ff57
  80. $$
  81. \eqalign{\varphi _n=\varphi _n^{(0)}+\sum_{i\not=n}&\left[{{H_{in}^\prime  \over E_n^{(0)}-E_i^{(0)}}-{H_{nn}^\prime H_{in}^\prime  \over {\left({E_n^{(0)}-E_i^{(0)}}\right)}^2 }}\right.\cr &\quad +\sum_{k\not=n}\left.{H_{ik}^\prime H_{kn}^\prime  \over \left({E_n^{(0)}-E_i^{(0)}}\right)\left({E_n^{(0)}-E_k^{(0)}}\right)}\right]\varphi _i^{(0)}\cr }
  82. $$
  83.  
  84. \vskip .25in
  85.  
  86. % EquationBuilder(TM) Expression
  87. % +.\Jr(=:/*V[StRFQAYmdjEEA;1nuN+[co.OZ7L#cq3iK9qVJ=-k`bIVT^%\'GF"d1C$ZF11
  88. % fO>,\5hi(c>mEciHs6;PAnY:_GHLe;TM+K8.18iae.4<L<hr!W^"b4JkkT7.of.&-3npjo?h
  89. % E8-#HRKFgD:dR9k#1jB"&,#hrC$lNZg#b\bq.KBMOp-tPS^lTh!Bq)bDPHtbZO!21@U%>-)8
  90. % 5#+$B1>RF8K*6_jp"@4_!@:(5e8(=0I9L60oID\L0S^(RP8bm>B[8CF/HjG5SYUkJ1+Do!A:
  91. % &STRpVQ&.uqc3#.*F+D/eV!@[%lL`s\F<jL,od>`%bTR6hXDMZg4!m8'C3]4VIp$CG(pGb%#
  92. % @KRfcY`VBoC![I@Gp)dGfl)NH(P$3SUpaH2$,M<<DjmN.*X$T<AV5XM1%9i9A>J/gDL#KcTH
  93. % pV?2aAdEI%o:ElP8P'!6E,LaF*Y`LRiVD723ac.2C57*!9K6?=l#PaPMoL^m?.(eG4omI,AW
  94. % nj*Cco-A-t,B!t?lm2_PKPk7t$+-=den6MEEN9R-tB'Mp`I6ZjQM]lZkGc#k&ie\a*s6p?VT
  95. % 0!6lV08$C,)ImkZ:>0OR^MA?M_Ssi%%2n)WT]fH_=HD6RWA7rV`fWh,p?H([],GlaHC7Ld?s
  96. % 2HWbU\<h4CrF;X9j$k(mWL\iM3kTlgj7l_&q9Ms-^i![(&iOu24"Ui9KU*1]&]#q3&[3k)nK
  97. % P\-dE.%%jhNig0I].BGG&jg>FlN.Hj[u#^[VC>Y_<c;r^p::aGc[K%KYAatfDmJd<b%=%Z+F
  98. % C/p%cc2XV\DWOaZ,HR,KW!0QHQ"\0Z&)G_73Oi?+fc$Eq7*'VB#!'Xh)`QXDeAoElP*l6Hbj
  99. % ekmVXFq7`o-`'cs#.\TBLXKT#,8CEPE!JF],ah9U:F2Ke03iZdq%umd@`U_2%fJiPN_:D&Ul
  100. % nd"VXZa&?7W\=1ZSF1^0uIjDr.$%+89+a>=,WVnZ*fZtG];n^FopE/LWd!`m#Gq%\7X@j335
  101. % )T('EWaZh\[GT?hq1\@+5B\opd-c#]J>U``5:P/KVq\Ws@i?UP=<4gO%MLO4sJkAhN<mQh'(
  102. % !:dT)cfX_\/rjhkRPb-Bdjop=RJ"@:h/h`/V[_f(f@TCp)nqMS](8G(mX:\/A,JN>Ouso0'T
  103. % u^02=?f/T@k(CF5,dTf=^qHX'Z"j>d)im^ole9G77`K!V:@kq=RI#WahYHarlNt8>6R&qq\]
  104. % 4ANB)h,&u#j+638HM*<c#B*2sY!A@P5"NjPlE!c^J%e7DF4g8!KjIl]jLq4!i0ReD-*2EKU#
  105. % osMMM*#7/qhW<A`#N.lP`\<Mc;98B&7PVc84+:\5l_DF,mH7u6Pfg>`\tEuN<(^9)9HP[.f'
  106. % H3Bq!=h!,r8f>Tu1JS>+HU;$PSdl7`oL^_#cRLH3!j2jE"?ML%$G,o/r_R/dBlkd#u<oRR#L
  107. % 0L1^85_T6DU]jYp9GlOr,R0L=%Aul$*Prql0a(&KY<8Wm(./<*U^7$f&AT`HTcHK#x
  108. % EndExpression N 1204 4b4 E 60 S 2302e R dc8d7d63
  109. $$
  110. A=\left(\matrix{a_{11}&a_{12}&\cdots &a_{1n}\cr a_{21}&a_{22}&\cdots &a_{2n}\cr \vdots &\vdots &\ddots &\vdots \cr a_{m1}&a_{m2}&\cdots &a_{mn}\cr }\right)
  111. $$
  112.  
  113. \vskip .25in
  114.  
  115. % EquationBuilder(TM) Expression
  116. % +.\Jr(=:/*V[StRFQAYmdjEEA;1nuN+[co.OZ7L#cq3iK9qVJ=-k`bIVT^%\'GF"d1C$ZF11
  117. % fO>,\5hi(c>mEciHs6;PAnY:_GHLeBA1AK8+1lj(XU:+9g,#!WXA-',`3g!cYQhVb]V^JBXD
  118. % `Uei07J7]E\!+eb9NH3J*!FUa\JLrTeR-?Bi#;E/Wqu-a=(^Pf1IM!)[).3pS6]rk#D=WEUc
  119. % 8q7UL'/HKcC9P2/P-jD=u$+*Bb1KI)^%iVYZl,JkouP3'00UO\-XB-:Zp&m]8k/N\J(nBY\2
  120. % 1GXC+Yl2I\09#/(nj&2_%t#:Jo<32jlN";%C:._m@M.OYK$&TLKp<'`JI@^_4/J5b`u(m:D^
  121. % 8/jMjBa<'7gj/X].HD4_*e(&`nm6_8eTW)YW9bm(JV4ka+F3*Df\hDQd:XPM&]%n3+UA-GhL
  122. % ZG&#[`B#8eR",Vb"\IGPb7U^e/EV`/tu?\j51m#,7J-M]]YMiJ?dlO:$4H.3O:]]_U\-F[Jb
  123. % f>_Y58#`=3T\d5!c'1UK'KqrRbToggJaInnS1)Wq/qgFX)G6<djaG$Df;P]Xs[KtlUAHkE<I
  124. % ]/@j-^PdP#j.V/P0"i8IK%>3P&M%k+"J]?MJ8k@"sZ\oOsGZ)+a+L?AY,&B5XZK+UsVXMFMn
  125. % lhE0<3@>l_+JYag_Ca:X/%5Mf!N1u8N=RgdJS6J=9<g9N)?el_5$Vb0R]Sh5(_Ml3.o9#?Rq
  126. % .u"A1S,p-N-u%]sb3#&CN[`q_duN#IR\#t;mC\*kqJMrtb%mUphFJiN,j+%[DnL(ips4E7NW
  127. % q)%!_=7_46/RTke9aI6E)4I]:1IL*#FK&VjH[!YeqluaY9FM[9P?+.t@;iMsn=a5Uo$(@U9'
  128. % #Ni&ku8#k>u]b0EG/KqTbeka:=CC<eEUHQ:?\>0R!0#3liRnM+kBMJ-,7VbWTa("(u1<i>`.
  129. % l5f?![(&8OsD/A!t(+%EQo"I>W/"5+IeE;rL>@\SR]S72nuLX\K<\b)cna;8Rq7,]om'5Fk$
  130. % ?/6?VFWLC:u]M_cdifV9gsEPQEmLjA9#]3P2crp%`hTot3SM$]?DE,)DG?]FjhUpFnrV\G:`
  131. % ]]u"Cl$Ce$95ZIu3>B5PgUMW9IH#449O\!?]\P]nIN&fB%$K*_8Ig$LI6GdbUIq!:_M;o[os
  132. % \]U&JJR0ci!/%Z60(W`in+,07P]CJg?^+#q3/VG34ubbQnf?aH_MrPTu/&/dFKiKT7lm(gu.
  133. % 5<sFJ3E,"84K*].\#gX(aEhcJT`MPR41TYP,hm7n@CPY=*Yi1=RMoZf#p-\8-msA"Fhs<VU2
  134. % qnqk5+iI;&gI\$pa'Z3+oEDs4Z(.P!KIPN:gkD?e[3_K:lAZ@f@2Ku`n8NeNTc6c(D0cg3Bj
  135. % ]Bjh[@CG4l$1q94kO1.N5I(muc]Tal+1_].ZEXO6[YLpM_--:!+^]Bl4>I:,;A$p^Nj:dJ,5
  136. % Bn6s^'*^CWL]O,a6R\-`LG6Y]$m\_9.RPY<b)kRRHb>#>W03$GfZ+O'x
  137. % EndExpression N 1195 4ab E 44 S 21b70 R 7c7e2aef
  138. $$
  139. J_p=-qD_p{\left.{\partial n_p \over \partial x}\right|}_{-x_p}={qD_pp_{no} \over L_p}\left({e^{q{V / kT}} -1}\right)
  140. $$
  141.  
  142. \vskip .5in
  143. \sl{For more information, please contact:}
  144. \vskip .15in
  145.  
  146. \rm
  147. Digital Tool Works
  148.  
  149. 100 Charles St, Ste D
  150.  
  151. Boston, MA 02114
  152.  
  153. (617) 742-4057
  154.  
  155. E-mail: info@dtw.com
  156. \end
  157.