TEXTEX.TEX[TEX,ALS]1 - www.SailDart.org

perm filename TEXTEX.TEX[TEX,ALS]1 blob sn#634630 filedate 1982-01-14 generic text, type C, neo UTF8
COMMENT ⊗   VALID 00005 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002	\input kermac % This is the "TEXTEXT Beginner's Manual" source text
C00005 00003	\appsectionbegin{Appendix F}
C00018 00004	\def\¬{\char'16 }
C00061 00005
C00068 ENDMK
C⊗;
\input kermac % This is the "TEXTEXT Beginner's Manual" source text
\input matmac
\input papmac
    \def\TEX{\hbox{T\hskip-.125em\lower.5ex\hbox{E}\hskip-.075em X}}
    \def\Section{}  % Remove the section symbol
\secsubsecstyle
\tenpoint
\setcount0 0

\appsectionbegin{Appendix F}

\ctrline{\bigfnt Characters Produced by Control Sequences}
\ctrline{\bigfnt when in math mode}
Some of these characters are available directly from some terminals.  All
of them can be obtained via the \\char route (e.g.  When using a \\rm
font, \ \\char\char'16 000 \ produces the upper-case Gamma  \ \char'000 ).
Note that \\gamma is not the same as \\Gamma.

\noindent{Lower Case Greek Letters}
$$
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\alpha⊗\\alpha\cr
\beta⊗\\beta\cr
\gamma⊗\\gamma\cr
\delta⊗\\delta\cr
\epsilon⊗\\epsilon\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\zeta⊗\\zeta\cr
\eta⊗\\eta\cr
\theta⊗\\theta\cr
\iota⊗\\iota\cr
\kappa⊗\\kappa\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\lambda⊗\\lambda\cr
\mu⊗\\mu\cr
\nu⊗\\nu\cr
\xi⊗\\xi\cr
\pi⊗\\pi\cr
\rho⊗\\rho\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\sigma⊗\\sigma\cr
\tau⊗\\tau\cr
\upsilon⊗\\upsilon\cr
\phi⊗\\phi\cr
\chi⊗\\chi\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\psi⊗\\psi\cr
\omega⊗\\omega\cr
\varphi⊗\\varphi\cr
\varpi⊗\\varpi\cr
\vartheta⊗\\vartheta\cr}}$$

\noindent{Upper Case Greek Letters}
$$
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\Gamma⊗\\Gamma\cr
\Delta⊗\\Delta\cr
\Theta⊗\\Theta\cr
\Lambda⊗\\Lambda\cr
}}\qquad\quad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\Xi⊗\\Xi\cr
\Pi⊗\\Pi\cr
\Sigma⊗\\Sigma\cr
\Upsilon⊗\\Upsilon\cr
\Phi⊗\\Phi\cr
}}\qquad\quad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\Psi⊗\\Psi\cr
\OMegaε\\Omega\cr
\Gammait⊗\\Gammait\cr
\Deltait⊗\\Deltait\cr
}}\qquad\quad
Tvcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\Thetait⊗\\Thetait\cr
\Lambdait⊗\\Lambdait\cr
\Xiit⊗\\Xiit\cr
\Piit⊗\\Piit\cr
\Sigmait⊗\\Sigmait\cr
}}\qquad\quad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\Upsilonit⊗\\Upsilonit\cr
\Phiit⊗\\Phiit\cp
\Psiit⊗\\Psiit\cr
TO@5KOCSP-99∨5KOCSQ9Ge⎇xHH~∀4∃9]←%]IK]Qw'Ge%ahAY∃iaKeM|~∧H⊂~∃)m
K]iKIw9QC1SO]wqQMSY0HFI9!MSYYqckCHXG9QM%YY9GH~∃)βMGd-ebπO∂∃c∂H4UbO∂⊃2rr≡≠Jc∂⊂h*r∂≡≠@Zrd≠O∂Jf≠@$*d#O∂H5br∪O∨∩s∂HhRrπO∨⊂Zrr/≠∂Js∨⊂4+{ucGGW∞"sGG,⊂4*g3∂↔;&+KnsF3'∨wZs#≠Nc1⊃
%c#≠'fbsGW∞ Y∞sF3'32f≠H4*d3O∂H5br≠O∨∩s∂HhRr∨O∨⊂Zrr?≠∂Js∨⊂4*rG≠∂HZeb#O∂∃c∂H4Ub'O∂⊃2rr'≡≠Js∂⊂h*r+≡≠HZrdSO∂Jf≠H4*d[O∂H5br/O∨∩s∂HhS{zs∂Wπ∩gGWπ h*s[≡+;S↔↔Zs#πfK∨;nfC≠'3b!
∩sF3'32gWπ⊂2~s#≠Lc2s∂⊂h*r3≡≠HZrdcO∂Jf≠H4*dkO∂H5br7O≥∩s∂HhRr;O≤ε!5eIn6∨∃L> hUIz6∨⊃iKD␈≡>+F∨⊂Q+Eπ≡>"eee∞<7∃F>!PWwkN↔∂.≤KG∂∂\≤@hUNl6.wL↑']f≥FN>o;FF6≥MB"~KMε6NMKG∂.≤Bb≥fm⊗feL> hUJ≡6∨⊃hπ↔
≡x|W>C"W
.x|EKK∀\xn+_|C!+∀|xn"W↔∀n<|W_n!"W∃∞<|EWJ≤x|KL|C"KJ<xtBk↔∃<l>W_|AQW∃\l>ES↔
nx|W>C"←Ok≤<=,≤↔≤<.\9β"KNXy;NL<↑w
;~9mow~→M≥≠	λdK~→Z-M↔≤=,≤¬Hw
Z;≠L|C"KJ|x|Bk↔∃|l>W_|AQU⊗≤l>EP∞.⊗9qy._yεE.⊗yqy↔.,yq\,1yεB.-9q\..-≤qy.1\εE.6≤qy.↔69qy↔1y??	∩εEεB.77d[22w:≡a0w0\<P7`0erators}
$$
\vcenter{\halign{\hfilh$#$\hfiLlXquad⊗#\hfill\cr
\pm⊗@9qa[9GH~∃ 3oZrsoαs∂HhRs@&≥\W→5KNFNn↑;F∨⊂Q+F&ObkEf&≡kF∨⊂Q+guG≡≡V∞%N≡↔.∞AQ%g⊗<Yg&/-;FF∞M≤vw]MfNfD@2%Fi⊗fEN≡V∞!d;FF6≥MEf∨!Q%g↔=H↔≡AkKG↔≡L≡6Ef>!PUf<Mw!∃KL6&␈KL7h+Mwεg↑2eef}
G/≥L> hUM⎇VNw↑2eef⎇]⊗w/;H7⊂h/oeg∂≡Xλ,K≤<=,≤β"W∞ly;]↑↑w~≥~9{O;~→Z-M	λiM→Z3
K≤=8,BHw~m;≠↔>s⊗\\otimes\cr
\odiv⊗\\odiv\cr
\odot⊗\\odot\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\uplus⊗\\uplus\cr
\ast⊗\\ast\cr
\circ⊗\\circ\cr
\diam⊗\\diam\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\bullet⊗\\bullet\cr
\interc⊗\\interc\cr
\lub⊗\\lub\cr
\glb⊗\\glb\cr}}$$

\noindent {Binary relations}
$$
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\up⊗\\up\cr
\down⊗\\down\cr
\←⊗\\$←$\cr
\→⊗\\$→$\cr
\↑⊗\\$\up$\cr
\↓⊗\\$\down$\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\↔⊗\\spose{$→$}{$←$}\cr
\lsh⊗\\lsh\cr
\rsh⊗\\rsh\cr
\perp⊗\\perp\cr
\vdash⊗\\vdash\cr
\dashv⊗\\dashv\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\mapsto⊗\\mapsto\cr
\relv⊗\\relv\cr
\relvv⊗\\relvv\cr
\subset⊗\\subset\cr
\supset⊗\\supset\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\not⊗\\not\cr
\in⊗\\in\cr
\notin⊗\\notin\cr
\prec⊗\\prec\cr
\preceq⊗\\preceq\cr
\succ⊗\\succ\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\succeq⊗\\succeq\cr
\sqsub⊗\\sqsub\cr
\lsls⊗\\lsls\cr
\grgr⊗\\grgr\cr
\simeq⊗\\simeq\cr
\approx⊗\\approx\cr
\doteq⊗\\doteq\cr}}$$
Note: The \ \\not \ symbol has zero width (to overwrite a following character).


\noindent{Brackets}
$$
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\lfloor⊗\\lfloor\cr
\lceil⊗\\lceil\cr
\{⊗\\$\{$\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\langle⊗\\langle\cr
\dleft⊗\\dleft\cr
\leftv⊗\\leftv\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\leftvv⊗\\leftvv\cr
\rfloor⊗\\rfloor\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\rceil⊗\\rceil\cr
\}⊗\\$\}$\cr
\rangle⊗\\rangle\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\dright⊗\\dright\cr
\rightv⊗\\rightv\cr
\rightvv⊗\\rightvv\cr}}$$

\noindent{Large Operators (text and display styles)}
$$
\vcenter{\halign{\hfill$#$\hfill\quad⊗\hfill$\dispstyle#$\hfill\quad⊗#\hfill\cr
\sum⊗\sum⊗\\sum\cr
\osum⊗\osum⊗\\osum\cr
\int⊗\int⊗\\int\cr
\oint⊗\oint⊗\\oint\cr
}}\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗\hfill$\dispstyle#$\hfill\quad⊗#\hfill\cr
\inter⊗\inter⊗\\inter\cr
\union⊗\union⊗\\union\cr
\squnion⊗\squnion⊗\\squnion\cr
\meet⊗\meet⊗\\meet\cr
\join⊗\join⊗\\join\cr
}}\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗\hfill$\dispstyle#$\hfill\quad⊗#\hfill\cr
\prod⊗\prod⊗\\prod\cr
\oprod⊗\oprod⊗\\oprod\cr
\odotprod⊗\odotprod⊗\\odotprod\cr
\munion⊗\munion⊗\\munion\cr}}$$

\noindent{Miscellaneous Math Symbols}
$$
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\iit⊗\\iit\cr
\jit⊗\\jit\cr
\real⊗\\real\cr
\imag⊗\\imag\cr
}}\quad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\aleph⊗\\aleph\cr
\wp⊗\\wp\cr
\infty⊗\\infty\cr
}}\quad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\emptyset⊗\\emptyset\cr
\#⊗\\$\#$\cr
\|⊗\\|\cr
\angle⊗\\angle\cr
}}\quad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\prime⊗\\prime\cr
\partial⊗\\partial\cr
\nabla⊗\\nabla\cr
}}\quad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\smallint⊗\\smallint\cr
\surd⊗\\surd\cr
\top⊗\\top\cr
\bot⊗\\bot\cr}}$$

\noindent{Miscellaneous Non-Math Symbols Allowed Only in Math Mode)}
$$
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\section⊗\\section\cr
\dag⊗\\dag\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\ddag⊗\\ddag\cr
\P⊗\\P\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\@⊗\\@\cr
\copyright⊗\\copyright\cr
}}\qquad\qquad
\vcenter{\halign{\hfill$#$\hfill\quad⊗#\hfill\cr
\sterling⊗\\sterling\cr
\$⊗\\\$\cr}}$$

\par\vfill\eject
\def\¬{\char'16 }

\sethsize{3in}
\topspace 1.25in
{\bf \ \TEX\ standard roman fonts.}\lbrk
These codes are used for \\rm,\ \\sl, \ and \ \\bf  fonts.
Codes \¬000 through \¬041  are accessed by control sequences as
defined later in this appendix. Codes \¬043 and \¬044 are undefined.
Codes \¬042, \¬134, \¬136, \¬137, and \¬173 through \¬177 are
accessed indirectly via ligature information stored within
the font itself.

\par
\vskip -2.50in
\moveright3.5in\vbox{
\def\\{\char'}
\hbox{\hbox to 23pt{\hfill0\hfill}\!
\hbox to 23pt{\hfill1\hfill}\!
\hbox to 23pt{\hfill2\hfill}\!
\hbox to 23pt{\hfill3\hfill}\!
\hbox to 23pt{\hfill4\hfill}\!
\hbox to 23pt{\hfill5\hfill}\!
\hbox to 23pt{\hfill6\hfill}\!
\hbox to 23pt{\hfill7\hfill}}
\vskip 4pt
\hrule
\def\|{\vrule height 10pt depth 4pt}
\halign{\hbox to 0pt{\hskip -24pt\¬#0\hfill}⊗\|
\hbox to 23pt{\hfill#\hfill\|}⊗\!
\hbox to 23pt{\hfill#\hfill\|}⊗\!
\hbox to 23pt{\hfill#\hfill\|}⊗\!
\hbox to 23pt{\hfill#\hfill\|}⊗\!
\hbox to 23pt{\hfill#\hfill\|}⊗\!
\hbox to 23pt{\hfill#\hfill\|}⊗\!
\hbox to 23pt{\hfill#\hfill\|}⊗\!
\hbox to 23pt{\hfill#\hfill\|}\cr
00⊗\\000⊗\\001⊗\\002⊗\\003⊗\\004⊗\\005⊗\\006⊗\\007\cr
\noalign{\hrule}
01⊗\\010⊗\\011⊗\\012⊗\\013⊗\\014⊗\\015⊗\\016⊗\\017\cr
\noalign{\hrule}
02⊗\\020⊗\\021⊗\\022⊗\\023⊗\\024⊗\\025⊗\\026⊗\\027\cr
\noalign{\hrule}
03⊗\\030⊗\\031⊗\\032⊗\\033⊗\\034⊗\\035⊗\\036⊗\\037\cr
\noalign{\hrule}
04⊗\\040⊗\\041⊗\\042⊗     ⊗     ⊗\\045⊗\\046⊗\\047\cr
\noalign{\hrule}
05⊗\\050⊗\\051⊗\\052⊗\\053⊗\\054⊗\\055⊗\\056⊗\\057\cr
\noalign{\hrule}
06⊗\\060⊗\\061⊗\\062⊗\\063⊗\\064⊗\\065⊗\\066⊗\\067\cr
\noalign{\hrule}
07⊗\\070⊗\\071⊗\\072⊗\\073⊗\\074⊗\\075⊗\\076⊗\\077\cr
\noalign{\hrule}
10⊗\\100⊗\\101⊗\\102⊗\\103⊗\\104⊗\\105⊗\\106⊗\\107\cr
\noalign{\hrule}
11⊗\\110⊗\\111⊗\\112⊗\\113⊗\\114⊗\\115⊗\\116⊗\\117\cr
\noalign{\hrule}
12⊗\\120⊗\\121⊗\\122⊗\\123⊗\\124⊗\\125⊗\\126⊗\\127\cr
\noalign{\hrule}
13⊗\\130⊗\\131⊗\\132⊗\\133⊗\\134⊗\\135⊗\\136⊗\\137\cr
\noalign{\hrule}
14⊗\\140⊗\\141⊗\\142⊗\\143⊗\\144⊗\\145⊗\\146⊗\\147\cr
\noalign{\hrule}
15⊗\\150⊗\\151⊗\\152⊗\\153⊗\\154⊗\\155⊗\\156⊗\\157\cr
\noalign{\hrule}
16⊗\\160⊗\\161⊗\\162⊗\\163⊗\\164⊗\\165⊗\\166⊗\\167\cr
\noalign{\hrule}
17⊗\\170⊗\\171⊗\\172⊗\\173⊗\\174⊗\\175⊗\\176⊗\\177\cr}
\hrule}

\par\vskip .5in

{\bf \ \TEX\ typewriter (\\tt) fonts.}\lbrk
{\def\\{\char'}
All of the ascii printing characters appear in this fixed-width font
although the character $\}$ is at its SUAI code position rather than at
its ascii position.  All SUAI characters that appear (some
are missing) are in their SUAI positions except for {\tt\\024},
{\tt\\025}, {\tt\\032}, {\tt\\033}, and {\tt\\175},
Codes \¬000 through \¬024 contain equivalent characters to those at the
same locations in the rm fonts.  Code \¬040 prints as \ {\tt\\040} \ to
stand for a blank space when this representation is needed.}

\vskip -1.755in
\moveright3.5in\vbox{
\def\\{\char'}
\hbox{\hbox to 23pt{\hfill0\hfill}\!
\hbox to 23pt{\hfill1\hfill}\!
\hbox to 23pt{\hfill2\hfill}\!
\hbox to 23pt{\hfill3\hfill}\!
\hbox to 23pt{\hfill4\hfill}\!
\hbox to 23pt{\hfill5\hfill}\!
\hbox to 23pt{\hfill6\hfill}\!
\hbox to 23pt{\hfill7\hfill}}
\vskip 4pt
\hrule
\def\|{\vrule height 10pt depth 4pt}
{\halign{\hbox to 0pt{\hskip -24pt\¬#0\hfill}⊗\|
\hbox to 23pt{\hfill\tt#\hfill\|}⊗\!
\hbox to 23pt{\hfill\tt#\hfill\|}⊗\!
\hbox to 23pt{\hfill\tt#\hfill\|}⊗\!
\hbox to 23pt{\hfill\tt#\hfill\|}⊗\!
\hbox to 23pt{\hfill\tt#\hfill\|}⊗\!
\hbox to 23pt{\hfill\tt#\hfill\|}⊗\!
\hbox to 23pt{\hfill\tt#\hfill\|}⊗\!
\hbox to 23pt{\hfill\tt#\hfill\|}\cr
00⊗\\000⊗\\001⊗\\002⊗\\003⊗\\004⊗\\005⊗\\006⊗\\007\cr
\noalign{\hrule}
01⊗\\010⊗\\011⊗\\012⊗\\013⊗\\014⊗\\015⊗\\016⊗\\017\cr
\noalign{\hrule}
02⊗\\020⊗\\021⊗\\022⊗\\023⊗\\024⊗\\025⊗\\026⊗\\027\cr
\noalign{\hrule}
03⊗\\030⊗\\031⊗\\032⊗\\033⊗\\034⊗\\035⊗\\036⊗\\037\cr
\noalign{\hrule}
04⊗\\040⊗\\041⊗\\042⊗\\043⊗\\044⊗\\045⊗\\046⊗\\047\cr
\noalign{\hrule}
05⊗\\050⊗\\051⊗\\052⊗\\053⊗\\054⊗\\055⊗\\056⊗\\057\cr
\noalign{\hrule}
06⊗\\060⊗\\061⊗\\062⊗\\063⊗\\064⊗\\065⊗\\066⊗\\067\cr
\noalign{\hrule}
07⊗\\070⊗\\071⊗\\072⊗\\073⊗\\074⊗\\075⊗\\076⊗\\077\cr
\noalign{\hrule}
10⊗\\100⊗\\101⊗\\102⊗\\103⊗\\104⊗\\105⊗\\106⊗\\107\cr
\noalign{\hrule}
11⊗\\110⊗\\111⊗\\112⊗\\113⊗\\114⊗\\115⊗\\116⊗\\117\cr
\noalign{\hrule}
12⊗\\120⊗\\121⊗\\122⊗\\123⊗\\124⊗\\125⊗\\126⊗\\127\cr
\noalign{\hrule}
13⊗\\130⊗\\131⊗\\132⊗\\133⊗\\134⊗\\135⊗\\136⊗\\137\cr
\noalign{\hrule}
14⊗\\140⊗\\141⊗\\142⊗\\143⊗\\144⊗\\145⊗\\146⊗\\147\cr
\noalign{\hrule}
15⊗\\150⊗\\151⊗\\152⊗\\153⊗\\154⊗\\155⊗\\156⊗\\157\cr
\noalign{\hrule}
16⊗\\160⊗\\161⊗\\162⊗\\163⊗\\164⊗\\165⊗\\166⊗\\167\cr
\noalign{\hrule}
17⊗\\170⊗\\171⊗\\172⊗\\173⊗\\174⊗\\175⊗\\176⊗\\177\cr
\noalign{\hrule}}}}

\par\vfill\eject
\topspace .875in
{\bf \ \TEX\ standard math italic fonts.}\lbrk
These codes are used for \\it fonts. They are used directly for ascii
printed characters (except for the \%\ sign and the ten missing symbols in
the \TEX\ roman fonts), and by control sequences for lower case Greek
letters, upper case italic Greek letters, and a few other special symbols.

\vskip -2in
\moveright3.5in\vbox{
\def\\{\char'}
\hbox{\hbox to 23pt{\hfill0\hfill}\!
\hbox to 23pt{\hfill1\hfill}\!
\hbox to 23pt{\hfill2\hfill}\!
\hbox to 23pt{\hfill3\hfill}\!
\hbox to 23pt{\hfill4\hfill}\!
\hbox to 23pt{\hfill5\hfill}\!
\hbox to 23pt{\hfill6\hfill}\!
\hbox to 23pt{\hfill7\hfill}}
\vskip 4pt
\hrule
\def\|{\vrule height 10pt depth 4pt}
\halign{\hbox to 0pt{\hskip -24pt\¬#0\hfill}⊗\|
\hbox to 23pt{\hfill\:g#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:g#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:g#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:g#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:g#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:g#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:g#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:g#\hfill\|}\cr
00⊗\\000⊗\\001⊗\\002⊗\\003⊗\\004⊗\\005⊗\\006⊗\\007\cr
\noalign{\hrule}
01⊗\\010⊗\\011⊗\\012⊗\\013⊗\\014⊗\\015⊗\\016⊗\\017\cr
\noalign{\hrule}
02⊗\\020⊗\\021⊗\\022⊗\\023⊗\\024⊗\\025⊗\\026⊗\\027\cr
\noalign{\hrule}
03⊗\\030⊗\\031⊗\\032⊗\\033⊗\\034⊗\\035⊗\\036⊗\\037\cr
\noalign{\hrule}
04⊗\\040⊗\\041⊗\\042⊗\\043⊗\\044⊗\\045⊗\\046⊗\\047\cr
\noalign{\hrule}
05⊗\\050⊗\\051⊗\\052⊗\\053⊗\\054⊗\\055⊗\\056⊗\\057\cr
\noalign{\hrule}
06⊗\\060⊗\\061⊗\\062⊗\\063⊗\\064⊗\\065⊗\\066⊗\\067\cr
\noalign{\hrule}
07⊗\\070⊗\\071⊗\\072⊗\\073⊗\\074⊗\\075⊗\\076⊗\\077\cr
\noalign{\hrule}
10⊗\\100⊗\\101⊗\\102⊗\\103⊗\\104⊗\\105⊗\\106⊗\\107\cr
\noalign{\hrule}
11⊗\\110⊗\\111⊗\\112⊗\\113⊗\\114⊗\\115⊗\\116⊗\\117\cr
\noalign{\hrule}
12⊗\\120⊗\\121⊗\\122⊗\\123⊗\\124⊗\\125⊗\\126⊗\\127\cr
\noalign{\hrule}
13⊗\\130⊗\\131⊗\\132⊗\\133⊗     ⊗\\135⊗     ⊗     \cr
\noalign{\hrule}
14⊗\\140⊗\\141⊗\\142⊗\\143⊗\\144⊗\\145⊗\\146⊗\\147\cr
\noalign{\hrule}
15⊗\\150⊗\\151⊗\\152⊗\\153⊗\\154⊗\\155⊗\\156⊗\\157\cr
\noalign{\hrule}
16⊗\\160⊗\\161⊗\\162⊗\\163⊗\\164⊗\\165⊗\\166⊗\\167\cr
\noalign{\hrule}
17⊗\\170⊗\\171⊗\\172⊗\\173⊗\\174⊗\\175⊗\\176⊗\\177\cr}
\hrule}

\par\vskip 1.5in

{\bf \ \TEX\ standard math symbol fonts.}\lbrk
These codes are used for \\sy fonts and are usually accessed by control
sequences, although they may be accessed directly if you know what you are doing
and/or if you have the appropriate keys on your terminal. Those positions left blank
are undefined. The character at code \¬100 is used for negation (it has zero width
and it can be used to overstrike the symbol that follows it).

\vskip -2.5in
\moveright3.5in\vbox{
\def\\{\char'}
\hbox{\hbox to 23pt{\hfill0\hfill}\!
\hbox to 23pt{\hfill1\hfill}\!
\hbox to 23pt{\hfill2\hfill}\!
\hbox to 23pt{\hfill3\hfill}\!
\hbox to 23pt{\hfill4\hfill}\!
\hbox to 23pt{\hfill5\hfill}\!
\hbox to 23pt{\hfill6\hfill}\!
\hbox to 23pt{\hfill7\hfill}}
\vskip 4pt
\hrule
\def\|{\vrule height 10pt depth 4pt}
\halign{\hbox to 0pt{\hskip -24pt\¬#0\hfill}⊗\|
\hbox to 23pt{\hfill\:u#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:u#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:u#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:u#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:u#\hfill\|}⊗\!
Thbox to 23pt{\hfill\:u#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:u#\hfill\|}⊗\!
\hbox to 23pt{\hfill\:u#\hfill\|}\cr
00⊗\\000⊗\\001⊗\\002⊗\\003⊗\\004⊗\\005⊗\\006⊗\\007\cr
\noalign{\hrule}
01⊗\\010⊗\\011⊗\\012⊗\\013⊗\\014⊗\\015⊗\\016⊗\\017\cr
\noalign{\hrule}
02⊗\\020⊗\\021⊗\\022⊗\\023⊗\\024⊗\\025⊗\\026⊗\\027\cr
\noalign{\hrule}
03⊗\\030⊗\\031⊗\\032⊗\\033⊗\\034⊗\\035⊗\\036⊗\\037\cr
\noalign{\hrule}
04⊗\\040⊗\\041⊗\\042⊗\\043⊗\\044⊗\\045⊗\\046⊗\\047\cr
\noalign{\hrule}
05⊗\\050⊗\\051⊗\\052⊗\\053⊗\\054⊗\\055⊗\\056⊗\\057\cr
\noalign{\hrule}
06⊗\\060⊗\\061⊗\\062⊗\\063⊗\\064⊗\\065⊗\\066⊗     \cr
\noalign{\hrule}
07⊗\\070⊗\\071⊗\\072⊗\\073⊗\\074⊗\\075⊗\\076⊗     \cr
\noalign{\hrule}
10⊗\\100⊗\\101⊗\\102⊗\\103⊗\\104⊗\\105⊗\\106⊗\\107\cr
\noalign{\hrule}
11⊗\\110⊗\\111⊗\\112⊗\\113⊗\\114⊗\\115⊗\\116⊗\\117\cr
\noalign{\hrule}
12⊗\\120⊗\\121⊗\\122⊗\\123⊗\\124⊗\\125⊗\\126⊗\\127\cr
\noalign{\hrule}
13⊗\\130⊗\\131⊗\\132⊗\\133⊗\\134⊗\\135⊗\\136⊗\\137\cr
\noalign{\hrule}
14⊗\\140⊗\\141⊗\\142⊗\\143⊗\\144⊗\\145⊗\\146⊗\\147\cr
Tnoalign{\hrule}
15⊗\\150⊗\\151⊗\\152⊗\\153⊗\\154⊗\\155⊗     ⊗     \cr
\joalign{\hrule}
16⊗\\160⊗T\161⊗L\162⊗\\163⊗\\164⊗\\165⊗\\166⊗\\167\cp
\noalign{\hrule}
17⊗\\170⊗\\171⊗\\172⊗\\173⊗\\174⊗\\175⊗\\176⊗\\177\cr}
\hrule}

\par\vfill\end

\noindent{\bf \ \TEX\ Standard Math Extension Fonts.}\lbrk 
The table of
128 codes on the nexp page
shows the form \TEX\ expects the extension ({\tt ex}) font to
have in math mode, if you use variablE del@%[SiKI`
β?∩βS#∃∧≠?;S⊗{0$≤+GW↔v≠↔Mβ4{@∩εL≡&>(≠t↑X=≠n∞h≠~.>→9⊂≠0z2yλ4w⊂ 4his appendix&

TnoindeNt{\bf 6. \TEPL standard Math symboL fontq(
⎇9a`∂/'ααS#∃∧3?33⎇;';≤hSSπd)β/→β	Iaβ≤{∪↔M¬≠#?←~βS#∃∧∧f␈⊗β(↔
H4∪λ←≤→0nNh≥~T≤}3,-{λ
∂;≥→∞∨?J(mβw:9CE:7P~0{2P~w⊂6p]4⊂6wY2V⊂$Yα qoU qse the Control seQu`@;≤∧W4→[p→λ90y4[zyP)\2qtp[∧@
c@e[EOYβ→β3'≤εF.α
H↔&/$λ
-d≥~~.∀_8λ 0endi@`XA←D↓S@→βL{UβW≤∧Rπ∨X6N∞βλ⊂∃Y|yP /n p∪←U`⊂∀,¬→.4¬`∪]¬XAS\αβ7πS@∧εn}LTε∂~X∞∞
_:0↔→p⊂12[4πw @%\Agkα∪G.>M⊗}r∧ε↔λ)r{ %p¬C@1∧εε␈≡≡M⊗}w1Q&∂⊗T
Vv&\h
-l9∞`⊂≥42|P_pp∞ Be fi@1YKHAβ;'S!∧∧⊗wJ∞:ε.≡≤≥Bε≡≡&∞∨LZ'1 ]~≡λ≠:,@t:⊂ "e ne@∃IKHAαK9β¬∧εε∂↔M_7.f≤∧@⊂~αh∂D\ααS#∃∧∧6F∂,≤7&/$λ
-d≤≠p→Zz4wgβE(¬100 _Aβ;#'∂@∧εO~∞Z6.α∞MrεV\|↔&*⊂λ∞2v0z~ww⊗⊂~0yP-→y3P 7i`th∞
~∃q[←mKβ∪'∂##⊃P↔πKJf⊗@}≡c!α22c↔,∧p↔→
QCdOx~∃ 3F∪?cNd¬ε⊗@|λ⊂~≠P→~h≥=n43~v6_.~30v ,|¬0⊃∧hRs#|παπεtε#/πLεw
X∧v&n43 )lh	`:βD⊂hUβ~_M␈λ≥≠dεM<⊂~≡n43 )lhλe9!IS@3dπebλβ"W
Xπp_↓iP≥↓α 
.∞α8@9αC⊂⊗Nβ≠kM→Z0⊗≠?(!
λ¬0∪#⊗{aβSz↓IWC'Zs#≠L¬Fc%MfNfMkBλhαW⊂∀_4πp⊂Aβ#=↓I,επ']MfNfF[FF6α;⊂⊗∨αXλB~)9QE←βAβ@&tε#/πLεw
X∧v ,4¬0∪#4¬⊗f@≤π ≤!
P→Q	←pAi<@dkaβ#ns#4¬⊗f@
w⊂∀→αi`→Yβsp⊂@ ¬. 6pπWS@α↓SCPhRs#KαXQ ¬. $e`
 3dπ5g\X
`,e he@%H∂#Qβ	A9W∧εBε&↑λ

∧
@~\8∧p≤~)9QCYαK⊂≡w8π⊂∀_4πp⊂Aβ#=↓C∧εG]f∞8
m≡λ →
8:.αHβ0\hfilln⊗\|
\hb`∨pαβS :∧∧@~\8∧p↔9αC⊂⊗Nβ≠↔π8¬#@9αC⊂⊗Nβ≠↔∂OEP∞⊂CE(hbox to 25p@Qw9QMαK3 %G(
$n43 )lh	9@dπa5@λ#"KM_[p≤λ8∧o 25pt`7qQM@'d¬EcWT;FF6α;⊂⊗↔>8∞⊗\!
∃9αC ?αλ⊂~≠P→~`0t{\hfill\:u#\hfill\@qxλ@5D⊃P@+α417↑⊂:7P~x:=W434`,lXλu@*~s#≠L¬Fe@≤ε0≡⊗\!~∃qQE@?@∧π&@hλ	5pp	`.d¬ε -8ε6.∞αp
Gd¬ε -8ε6.∨? ≤!
P→Q	←pAi<@dkaβ#ns#4¬⊗f@↔∞P~Hβ\hf@%YP∩sβH∂Bkα⊂FE↔417`8 p	↑@Hkai@]c#≠≥HG](w
X∧v ,\|p≥d∧7!αE__¬,∧\000⊂
98@`b-eaAAHαkEcβ∧∧eKKα_⊂⊂4⊗X	8`@j- 2c↓AXZβKCββ{Hλn∧¬∃9αs?πM_	mow~≤N]→?C!__@⊗\\010⊗\Xλ`@λε⊃5@↔&"β(\013⊗@9p`bh5bqAE)2r`#∧∧ ≠¬,∧\014π9Gd4⊂
`&mxλ-M9{↑kM≤Y0⊗→|ε~∀@d ~@KFβ∪↓hπ↔εεL .↔_→→↔,∧0 $β_Z`%Fε#!Tε._~K ≤\026⊗\\027\cr~∃q]P∨πd¬⊗ =↑p∞ (p¬`↔LX∂AQLλ	K↔,∧0 &@-18`Lb- 2c↓MHZβKCβ≠2kEcβ4¬¬KKα_⊂∪5⊗X	8`Lhλ@5KFβ≠w_p→βE(noalign{\hrule}
04⊗@9p`h`-q8`hbY90⊃Aα@Bkα._~K*._
~ ≤\045⊗\\046⊗\Xλ`@ εuf∨!Q%f@Xπpv~pπn{\hrul@∃xλ (αL
"kα._~LλεP→8@jb-eaAUHαkEcβT∧eKKα_⊂∃4⊗X\055⊗P→8@j`_ZβKCβ+{Hλn∧¬∃99←C@3L∧vw]M∞'.f←aP@&
EWF
Hλ↔,∧0 ,D-0∩qβ1H@5KFβ &eP∞.≠~⊗\\06 *Y90⊃Aαfa2α∧∧α¬@_|C!,∧no@¬YSO]m9Qe@,¬F/@@εE_
β⊗T\04ε`-eaA]DαkEcβv"ee@λ@3⊗X\074⊂
 2c↓P≠%P∞.≠[⊂λ⊂⊂⊂._y
\nh∂CYαK⊂≡w9H
∞8¬`→Kβp4)E↓2r`#⊗ε↓5@↔,ε∩Tε._L→ ≤\103⊗\\10 (Y90⊃Eβ(Zbq	↓P⊃Tε._L≠n1`2
P→]=CYSO9w9QeUYK|~(bb-eaEE@5bqEE	2r`#⊗⊂Bkα._@13⊗T\110λ-eaEET5bqEE12r`#⊗∩uf∨!Q%f@Xπpv~pπn{\hrul@∃xλ (αL →¬,._IλεP→8Ddb-eaEIHαkEc&2ee@,@~¬,._I
K*._L≠ ≤\127\@
`λ (αW≠M|8ε4c[=n49≥v2␈εBα13⊗\\13  Y90⊃E≠λZ`%F∩3⊃Tε._LYK ≤\134-q8bf@)2r`#⊗6a5@↔$f[_|C!,77`!lign{\hre@1Kp_Q&∪!Tε._M_ ≤\10λb5bqEQ⊃2r`#⊗@bk↔%εBβ(\145⊗@9pb`⊃X5bqEQ=c∂HQ+Fv@x;⊂∀Yβn{L@!`@.β→0∨βE_ZK↔,∧150⊗X	8bTb- 2c	UHZβKC,eWF-(
↔,∧155⊗     ⊂@@@A9Gβ⊂4*@Mmv∞f≤⎇g]f∞.Vf/aQ#EP∞.Xε0⊗\\16 "Y90⊃E3⊂Z`%F∩c→5KF∪ &¬P∞.Xε5⊗\\16 ,X@@@@AGd~)9P≠|≥FN≡o;FG↔]H	/@∧¬∀bβ8Z`%F⊂
fαβ(\14εb-eaE@; ¬WF-leKKα_[@4⊗X	8bβ9TZ@KF∪ 6β ≤\10∞o9α≠@↔pβ"W
∞];⊂∩←αλ
*d∧V@,8⎇β!∧¬∃9ACe 3αh	M≥≠↔⊂∩[2εEεBαX	]←αK;∪↔w#ns2αqαr$*b`"λ∧p~_w20y→⊂ 
ath Extensi@=\A
←αsSMokFf↔-0λhRλ¬~T≥_8ML(≠p∪βE_Y8 codepεA←\βiQJAαs↔cQ∧εε∞y#"Nt7p↔s p	QJ↓H?KhεbR⊗βBε/∞λ	,>≤h⊂~~2P2@8te`≥gαK?9↓GZs@'Dλ	/∂J(⊂∪≠w:⊂ 4o
∃Q¬mJARαqβ .≤¬~∧
αp∂de, if you @U`∂∃β4∧↔-88[T→→0⊗~vp	`)∃`Mβ|ε"π~→(={]≤M⎇β"P→Yxzr`.c`fAα3?Iαd∧↔,y(⊂↔\2y0z≠y9P ,iste@⊂AP∪εαLW$~;@≡
~8	P_x82`.dix.
λ∧~*dεf -8ε6εBα{\ded¬9E@⊗∂/∂;Ff.≤LW.w~≤N]→(⊂∀→tst:λ_W⊂∃pt \hfill`<4⊂
s∪,∧eF&l.&∞≡←0	Lz_<Dvβ[Y$\bracex$\@
QCd∞β9P≠(β"H∧∧λλ
αα∧¬↓↓αβL&F∂ p
fZ∩. "p¬CGKβA∩@&9↔$im`→I?
\def@9β+CK∞≠↔m∩d∧6F∂ 	`≠Lβ4$\@	`π∂,πα%@_r_.∪S[@3
  (⊂⊂⊂∀∧λλ
¬@_p∀0\α''7HA ∪
α,⊗≡>	↔=_0→'4εn@U'p4
@M&oB∞Mrπ≡≤εY/;~→P∀[0∧\hbox to 25 !Aiw9I9EeCGα+`5@~→P∀[4∧}
Xp
gW%`mah4⊂
s#⊗{aβSzβ@≡O,X∞k
→R ⊗~∧ 	9Yα+⊂↔%Lεw
∞zz0_
αpt\@YG@↔;&+@↔XQ+FF⊗β}≡<@FV≤≥≡h≤⎇_
p[4∧y
\TE@1pACIIIKggKβ→β .x∧⎇∧
βs⊂ 4hese cha@e¬GiKeLAS@;&K@⊗.>MGK~hn⊂2|0[x62Vλ0pl
λ¬YKMβ!βCπα,Vw~→0→YyP0y→P0r2≤αess@∃HAgi¬`@&≥lrπz8
4λ1t0y_qz2`2 X
`@`XAE¬`∂↔⊃∧¬vp@ ¬4`.d¬←e[¬iS@?pπ@∨&|∧Y,D~;@≡
→(⊂∪≠w:⊂ )tsel@_XAC]⊂A`∪#*β⊂⊗}n@λ≥≤{h∞L8ε6 3 X	)a8⊂∀+αMε∂"≡&⊗OL∧X.4py large h	KMβ!βCπα,Vw~→0→YyP1`!n be iade d¬e@?hπ∂#εα,⊗∨&↑.0hTβ↓,ε@_⊂∀:≠x⊂	, X¬102 (mi@⊃IP∪∃Jaα`4α⊗βααα_[nNα7v@),∧A)Q∀AP∨;dπ∩ε≡|LW4→>≤
M8z0~≠8@
@IK@≠↔↔∪↔"∞Mrε↔∀E$6⊂∞⊂_y2P.↓X_⊂⊂=0π @8⊂`blX↓8
bbβ↓1αp+	EI1¬`∃EE ¬B¬@P _Mα,
\¬120=0∂ @8⊂bdnX↓C]HAp
bl@αqαS#,ε2bε∀→M⎇]λ⊂∩→ytsw→y⊂!@!n mo@\hfill\hbox to 250pt{\upbrace}\hfill}}
\vfill
\eject

\vfill
\moveright26pt\vbox{
\def\\{\char'}
\hbox{\hbox to 25pt{\hfill0\hfill}\!
\hbox to 25pt{\hfill1\hfill}\!
\hbox to 25pt{\hfill2\hfill}\!
\hbox to 25pt{\hfill3\hfill}\!
\hbox to 25pt{\hfill4\hfill}\!
\hbox to 25pt{\hfill5\hfill}\!
\hbox to 25pt{\hfill6\hfill}\!
\hbox to 25pt{\hfill7\hfill}}
\vskip 4pt
\hrule
\def\0{\vrule height 7.5pt depth 2.5pt}
\def\1{\vrule height 10pt depth 5pt}
\def\2{\vrule height 14.5pt depth 9.5pt}
\def\3{\vrule height 17.5pt depth 12.5pt}
\def\4{\vrule height 20.5pt depth 15.5pt}
\halign{\hbox to 0pt{\hskip -24pt$\vcenter{\hbox{\¬#0}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗\!
#⊗\hbox to 39.6pt{\hfill$\vcenter{\hbox{\:@#}}$\hfill}⊗#\cr
00⊗\1⊗\\000⊗\1⊗\\001⊗\1⊗\\002⊗\1⊗\\003⊗\1⊗\\004⊗\1⊗\\005⊗\1⊗\\006⊗\1⊗\\007⊗\1\cr
\noalign{\hrule}
01⊗\1⊗\\010⊗\1⊗\\011⊗\1⊗\\012⊗\1⊗\\013⊗\1⊗\\014⊗\1⊗\\015⊗\1⊗\\016⊗\1⊗     ⊗\1\cr
\noalign{\hrule}
02⊗\3⊗\\020⊗\3⊗\\021⊗\3⊗\\022⊗\3⊗\\023⊗\3⊗\\024⊗\3⊗\\025⊗\3⊗\\026⊗\3⊗\\027⊗\3\cr
\noalign{\hrule}
03⊗\3⊗\\030⊗\3⊗\\031⊗\3⊗\\032⊗\3⊗\\033⊗\3⊗\\034⊗\3⊗\\035⊗\3⊗\\036⊗\3⊗      \3\cr
\noalign{\hrule}
04⊗\4⊗\\040⊗\4⊗\\041⊗\4⊗\\042⊗\4⊗\\043⊗\4⊗\\044⊗\4⊗\\045⊗\4⊗\\046⊗\4⊗\\047⊗\4\cr
\noalign{\hrule}
05⊗\4⊗\\050⊗\4⊗\\051⊗\4⊗\\052⊗\4⊗\\053⊗\4⊗\\054⊗\4⊗     ⊗\4⊗     ⊗\4⊗     ⊗\4\cr
\noalign{\hrule}
06⊗\2⊗\\060⊗\2⊗\\061⊗\2⊗\\062⊗\2⊗\\063⊗\2⊗\\064⊗\2⊗\\065⊗\2⊗\\066⊗\2⊗\\067⊗\2\cr
\noalign{\hrule}
07⊗\2⊗\\070⊗\2⊗\\071⊗\2⊗\\072⊗\2⊗\\073⊗\2⊗\\074⊗\2⊗\\075⊗\2⊗\\076⊗\2⊗\!
\:fundefined⊗\2\cr
\noalign{\hrule}
10⊗\2⊗\\100⊗\2⊗\\101⊗\2⊗\\102⊗\2⊗\\103⊗\2⊗\:fundefined⊗\2⊗\:fundefined⊗\2⊗\\106\!
⊗\2⊗\\107⊗\2\cr
\noalign{\hrule}
11⊗\3⊗\\110⊗\3⊗\\111⊗\3⊗\\112⊗\3⊗\\113⊗\3⊗\\114⊗\3⊗\\115⊗\3⊗\\116⊗\3⊗\\117⊗\3\cr
\noalign{\hrule}
12⊗\1⊗\\120⊗\1⊗\\121⊗\1⊗\\122⊗\1⊗\\123⊗\1⊗\\124⊗\1⊗\\125⊗\1⊗\\126⊗\1⊗\\127⊗\1\cr
\noalign{\hrule}
13⊗\3⊗\\130⊗\3⊗\\131⊗\3⊗\\132⊗\3⊗\\133⊗\3⊗\\134⊗\3⊗\\135⊗\3⊗\\136⊗\3⊗\\137⊗\3\cr
\noalign{\hrule}
14⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0⊗\:f
undefined⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0\cr
\noalign{\hrule}
15⊗\0⊗\:fundefIned⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0⊗\:f
undefined⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0⊗\:fundefined⊗\0\cr
\noalign{\hrule}
16⊗\4ε\\160⊗\4⊗\\161⊗\4⊗\\162⊗\4⊗\\163⊗\4⊗\\164⊗\4⊗\\165⊗\4⊗\\166⊗\4⊗\:f
undefined⊗\4\cr
\noalign{\hrule}
17⊗\1⊗\\170⊗\1⊗\\171⊗\1⊗\\172⊗\1⊗\\173⊗\1-q8bnhY8b-9pbnj-pb-8u→k]IK→S]KHY8b-8iL~∃k9IKMS9KH-8E9Ge|4∃9QeUYK|~)9eMS1X~(hRsO↔≥#'?;⊗+↔';];#πQ¬bR⊗bbα∪/↔∨p4(4UcCπJg3≠'3ec↔;⊂hP4*g␈)β←'faβ;↔,!βS=∧[;?]ε	β≠↔:β∪?↔~βπ;⊃ε#?9∨'→βπ␈+Qβ}{-7G.3'SJβS↔c'→βπ; h+O?n)β?→π##∃β∨β↔∂'∞aβ←πM→βS#∂!αrR-Bqβ#∞s∪3↔~βS#↔≡)β7π'#↔KMuc3KXh*VB∧*Iβπv!β3?>+Iβ∂∂≠↔M9¬aαrR-Bqβ∪⊗←Mβ
β∪'O&s∂S'}qβ↔';↔↔9π+CC↔∩βπ;⊃εc?←↔⊂h+∂π≡)β'9ε31β≡O↔Mr↓α≠?∩β↔cπoβ3∃0hS'→β&C∃β;∞k∃β?2β¬β∪/≠'K↔"β∂?;'∪?1β≡+GW↔v≠∃β'~αrc?&K7↔Mbβ?;∀hS7WO"β;?Qπ#gC∃¬br?SNk↔M:fcK,hR↔cS⊗	βOC∞≠↔M9¬aαO'v≠∃αr$*bqβ∞#+WO'→βS#*βOCπ≡K;≥β⊗+S←↔,¬bπ>},G~πMtε∞≡
≤W6*∞Mε(h,LW≡O,\Bεf≥lRεW↑>FN6≤<↔&N⎇dαF/<Wπ"∞⎇ε.r∞Mvf"
mw"πMtε↔J∞Mε*ε=⎇g'⊗⎇Dπ≡∂≡\Vv≡QQ%efm|fNfD
w∩ε/∀π&FT∞W≡*
|bε
=vw'-⎇Bo≡↑≡V.v<Tπ∨ε\=⊗6N\Dπ'O↑w⊗OL↑"nf≥<Rε6⎇nBHh-≡Bε∂↑Mvn∂M≤6∞g∀λV∂'4⊗fb←π'⊗∀∞7ε∞<↑2π&≡BπN}Tεn∂∀∞GOεT&/'|\Vrπ⎇}&'~≥f"ε≥aPW&
≡2ε≡⎇mf.∨M≥vrε∀λ6∂↔-≤⊗>*∞,W'/-dεO~∞≡VO6≥LVw"∞Mrε
∞>ε∞≡Udα¬&Tε/F<↑π&N⎇dπ&xQ.FFO4∞'.fT
↔~π⎇VrπMW⊗*≡&*πN⎇rε≡≡.&N∞|Tπ⊗/N↑&w~∞Mv>/MW∩b∞,W∨.NM⊗v:
≥bε∞aQ&.o∞O∩εf≥lRπ>
≤6Bε≡4ε∞r
→f&N<≡FN}d∞FF∂D∂⊗␈*∞|⊗w"∞Mrπ∨L≡'"ε∀	f/:∞↔⊗∞},↔εBaQ$↔∂D
⊗rπM
↔~ε<≡6*ε←∞G⊗
]Wπ'∀∞7ε∞<↑2ε∂,Tπ≡N]≥F∂⊗O∀ε.∂L]b
fL.&Xh!Q hUN↔∃glm⊗feL]f h!Q&b¬<↑↔..l<W~ε≥lB∧n≤>&␈∨aQ%g∨\.6.∨M≥vv⊗\⎇⊗w\=⎇g'⊗⎇D¬≡/≡\Vv≡↑4ε∞vD	V∞∨-}7ph!Q%&FT∞F/⊗↑4π]g=Dε≡}nN&}b∞<W∂.]l6/r≥f"π;N6bε\≤7⊗␈d↔⊗*n&/∂\]g&g∀∞W≡.AQ&NwL↑&≡F≥lv∞⊗O∀π&z∞,V6/$∞FzπMRε≡⎇n7'↔\>G~ε}$ε≡}]\⊗v'4∞FF∂D↔⊗*∞↑6."∞MphV=⎇g'⊗⎇D¬e$[¬bα∧≥dπ&F≡4εn∞n\⊗bπ|Tπ>NMDπ'↔∀∞FzεN,↔:ε∀FO∨M≥f∨&≥⎇bε⊗↑Nv..aQ'&F}<Rε≡⎇n7'↔\>G~πM↔"ε≡,Rεn},Rε␈$
F/∨4∞π⊗N]≡FO6T∞FF∂D∞v*π⎇≥Fbε<≥Fbπ;N6`h,=vw'-⎇Bπ≡↑≡V.v<↑7rb≥f"ε=⎇g∨'.\7'~Dλ6∞fL\Bπ]N=Bεn≤>&␈∨eDπ&F≡@ε∂⊗TF/⊗≡lV h,n&}j∞Mε/≡T∂5g≡D6}wN-vbπ<↑↔..l<W∨r¬
w∩εn-vjε}Mε/∩∂;G≡b
\⊗∨⊗}?bJb∞↑7.∞MO∩ε↔⊃Q&n∞≥n2ε}d∞FF*=vw'-⎇Bπ≡↑≡V.v<T¬efL\bph$∧¬e$[Bπ.lLW↔∨L≥f'~
}f/∩ε6βαε=⎇g'⊗⎇APW≡↑≡V.v<↑2ε∂4∩πε≡.Bε}d
↔'~∞>F∞vL≡&"ε.]⊗g"]≥bπ6|<⊗↔.L≡'Jα
M↔∨&\DεNr↓Q$∂π]f&O∧λ2JpQ$α∧n≥o∩ε}d∞FF/<QPV≡⎇nG⊗}D∞6/∂\]f≡/4∞F∞↑T↔~ε≡,w.n]nG~ε⎇lRε␈$
V␈⊗T∞ε∂⊗≥\W&/.4π&F≡@ε∂⊗T∞GOε\APVN]\V&N≡LVgJmvff}⎇⊗v:∞Mε*ε=⎇g'⊗⎇Dπ≡∂≡\Vv≡T
f∞nUdα¬&Tε∂⊗}]V.wN4ε}2
\⊗∨⊗|1PV∂,UBε↔∀∞v∂J
xbε≡⎇nG⊗∂>EBπ/>\⊗fg∀vO6]dεNr.&∞≡↑4ε6↑MMw>Nlpπ&FT
V∞∨-tεv∞\U`hUMW⊗*X∞
≡⎇λ⊂$
];8L↑H≠qD∞|→8m≤;λ⊂⊃[v62q]4ww9H7s⊂6Xqy7yH:40zλ.*"l↔⊂2|8→y:0∪
havE fou@9HAkg∃IkXAα3?Iβ∨β↔∂'∞aβCW↔β?O↔~βOW∂Baβ≠?⊂β↔cπoβ3∃1εMβ←⊗KS';8h+W≡K;↔O~β3↔S&+KM1¬βK↔C∂∪';≥εK;S↔⊗sπ1βn+7?K∞s∪¬1∧;⊃βπ∪↔Cπ⊗K;≥βn;WO∨∪'CS_h+≠?∩βCWfK∂πSN{984R↓αS#*β↔∨Ns;↔I∧KEβ←.c1βπ'3'O↔"βS-βf+π[∃π##'MεkπSS/⊃β?_hS∪↔OL;;';8∧εn∞>-w~πMtπ&FTWGε↑.G~@Hλ⊗-}<H⊂↔[6<P8≤5q62[P;tv≠⊂12P≥4π l@∃Ce@9εC?\4U#=βW≤)βO?n+?;∃∧+3O∃?→β'π≥∪?Md∧∧↔=λ⊂∩≠w∪z dispAir, @5←ghA=H	βSF)β?;-→βS#∂ 4+g⎇)β←'d¬Bε⊗T↔πα∞MrεV\X	∧<Y(
]|Y(
}H≠⊂∩\βs sElf-dedife@⊂AC@3αMε␈.⎇π={9(
|H≥~Q X8L.Y=R,≡~;{N∀≠8>$Y(⊂$X∧p∀ tricKy to learn,	α
\subsectiOnbegin{The SpeCial Characters@x~∀4U;#'3*βS#∃ε#↔SπNc↔⊃β/≠∃β?2βS#↔≤)βOC.≠'π⊃∧∧6F∂,≤7&/,1PU&Tπ/≡T
v $≥~→$X8zn=_<p∀βE37`4 a pArpλA←_AiQJ↓g@↔G,+;∂↔~I1↓α&C∃β∪}c3πI∧ε6N>n4ε∂⊗T
f..L\Bε∞l@π&F←⊃PW≡≤⎇fN7∀λ

=λ⊂~~2P1`(arac@QKefA%\Ack∃ciS←8ACeJ↓S@↔C β←'S@βS#∃∧kπS!∧∧f}wN5`hPβ"W∞<W∃Lm9≠↔]Yβ"AQU_	zX9rq`4ionbedπSMwQQJAMGCaJ↓βQC@⊗∂S↔∩↓"bqMp4(Q('JεLXf∂.NABπ&Tε⊗∞=>6f∂=λ=_8	0Xz2y⊂
,.∀P~yP92\p¬rfEd as the {\sl eqcap@∀~∃GQ¬aCGi∃e|Ai<AiKY0A9)a8AiQ¬hAiQ∀Ags[	←XA←HAgie%]NA←_ACYa!CEKi%F~∃G!CeCGQKefAQQChA→←YY←]bASf↓]←h~)BAaCIhA←L↓iQJAQKqhA	khAi!ChASPASfA∧A9)a8AS]MiekGQS←\A=H	βO}k∃βO␈∪Q9↓∧K_4+}s∃β←∞sSMβ
βπ∂←≠3πOBβS=β∂βC↔π∩βπMβ
β∂#π⊗∂S↔∩β'9β&C∃β≠Nsπ1β&{∂W7.sQ↓#∂_4++/≠QβW≡+⊃β'rβS#'~βO↔;&+;∂∃JβS#↔pβ?;∃εkWOQπ#gC∃εKQβS>K∂∃1π##WMαBrrrbI84*∂+↔OSN{9iβF{]β∪N!βS#*β←K'&+Iβ∨/!βS#*βπ∂←≠3πOBβS=β∂βC↔π∩βS←'≡)β'9π##'LhS∪?∂.k↔;Qz4(4UcOW∨+O↔∨#'?;⊗+∨';]##∃αnS!6n{∪∃α∨K7?b↓"q⊃Jβx4(hRS#∃ε#?33∂⊃βO'>q↓"q"Iβ'Mπ+O↔⊃bol to enclose portions of the text that are to be typed
subject to certain mathematical conventions.  You have seen this used above
in the explanation of how several of the reserved characters including the left and right braces were typed when needed
as a part of thee text. Another example worth noting is that  the hyphen, when typed
alone is shown simply as a hyphen but if it is enclosed by dollar signs
thus, (\$-\$) it then appears as a minus sign thus ($-$).

Two variations of the Math-Mode are used, the simple Math-Mode, used when
mathematical symbols (or equations) are to appear in running text, and the
Display Math-Mode, used when the mathematical expression is to appear on a
separate line.  In this latter case the expression must both begin and end
with two dollar signs

\subsubsectionbegin{The Grouping Symbols  ($\{$) and ($\}$)}

The left brace ($\{$) and the right brace ($\}$) are used by \TEX\ to
delimit the action or define the range of effectiveness of {\sl control
sequences} and of related \TEX\ operators.  \TEX\ always expects there to
be matching pairs of braces, which can be, and often are, nested to four
or five levels, and it can get badly confused and issue incomprehensible
error messages when braces are not matched, so beware.

\subsubsubsectionbegin{The End-of-Line Symbols  (\%)}

The percent sign (\%)is regularly defined to be am end of line symbol.
This simply means that everything that follows it to the actual end of the typed
line is ignored, thus allowing explanatory comments to appear in the source
text without being taken to be part of the output text.

\subsubsubsectionbegin{The Alignment Tab ($\otimes$)}

The alignment tab ($\otimes$) is used to show the desired alignment of tabular
material, as will be explained later in the discussion of
the control sequences \\halign and \\valign (q.v.).

\subsubsubsectionbegin{The Number Sign ($\#%)}

The number sign ($\#$) is used in two special ways, the first being in
macro definitions, where it is to be followed digit and in alignment
preambles, as will be explained later.

\subsubsubsectionbegin{Superscript and Subscript Symbols ($\up$), and ($\down$)}

The up-arrow and the down-arrow are used by \TEX\ to indicate superscripts and
subscripts. See the section on Typing Math Formulas for details.

%\par\vfill\end


This manual's use of fonts

A word about the fonts used in this manual.
A typewriter-like style of type will be used to indicate the actual text and
\TEX\ commands that you might type on your terminal.  The \TEX\ output
will, of course, be shown as it would appear, although, on occassion, we
may have to use a different font from that used for the manual text itself to
avoid this further source of confusion.

\par\end

Here are the typewriter symbols that will be used:
$$\save1\hbox{\≡0123456789"#$%&@*+-=,.:;?!≡\}
\save2\hbox{\≡()<>≡≤≡≥[]{}≡`≡'→↑≡↓←\|/⊗≡spose/=≡∞≡\}
\eqalign{⊗\hbox{\tt ABCDEFGHIJKLMNOPQRSTUVWXYZ}\cr
⊗\hbox{\pt abcdefghijklmnoPqrstuvwxyz}\cr
⊗\box1\cr
⊗\Box2\cr}$$
Should some oF these symbols not be avAilable on your terminad, there are
sayS to simul@¬iJAi!KZXA¬fAoS1XAEJ↓KqaY¬S]KH↓YCiKHX	↓α&C↔K∃εK@~ε⎇lPhV≤LFO&≥⎇f∞α∞?⊗n⊗⎇Dπ&F≡@λ∞⎇;≠λ,(≥<l\λ~;D∞~~<d
8;],≥λ≥≠d∞⎇_;LD→[tD(≡w∞=β"XML9Z`∞≡_8y/D≥z→-d~=λ
≡h~;.
|]_-nλ≥≠d~<⎇
≥Y⎇:.≥λ_Y.Ny93D(_[≥Zh≤n8y#!.~_=∧∂;y(
↑<⎇λ≤⎇≥8-M≤∧P:≡x2P0[2⊂9x_qryP≥40z normallq appear in the text
describing what you do.  This symbol is:
$$\hbox{\tt\char'40}$$

{\sl Control saquences}
¬
When a {\sl contrkl sequence} iq tyPed, the e@MGCaJ↓GQCe¬GiKd↓[kgh~∃KkMhAEJ↓MWYY=oKHA%[[KI%CiKYβIβe∧+'S#/⊃↓E%ε	βOS⊗K;≤4V{⊃β3/#S↔K~β≠/3f{←↔⊃∧∪eβ¬¬≠Cπ∂*aβ←#-∪∃βSF)βOS⊗K;≥β}1β3↔'#↔KMεCπ[∃ε∪↔↔_hS∪↔≠Ns↔⊃β,KS#↔⊂βeβ&+∪πWe!β?I∧∪eβSF)βWO,ε"π&t
7ε.=≤gJε≥`εNw>N'.∨M→vrε|dπ≡}\QPW≡}.Bbε}$β∩J⊂π∞Nl⎇F*εm⎇bn∞N
ε∞⊗↑M⊗~ε=↔ε∞>LW∩πM↔"ε\∨∩ε⊗Tλf}fM}v."/∩ελQ*7ε∞<Tε∞vD∞FF∂D	ε∂~≤v∞Nd&..dF.6≥lV"πMtεF∂lTπ≡}\Tπ∂ε\9⊗∞b
\V∞v≥lrrα	≥`hV]≡FF/$λ6∂≡UD¬e$[Bε∂↑Mvn∂M≤6∞fO∀ε.∂N4π/α≥gJαα_;LD_;≠¬∀≤|_,<<h≥
=λ≠,∨#"P∪≠v67kH9zqtλ4w9z≤8qz4[w9W⊂λ*42P≥yrP7Yα the backslas@ AM←Y1←oKHαβ'77,∧FN∂L]GHh,/∩ε
∞>ε∞≡T
↔4_(∀n8z8-D_{sNN[{λ∞<αxrb[1rP$[⊂4z9Yv3⊂0[2⊂4jλ4w9z≤8¬cts \TEX\ to
introducE a space into The f@%]CHA⊃←Gk[∃]hACPAiQSLAa←S9h\
∀4∃/JA
C\AS1YcgiICiJAQQJAo¬rAg→MXAG←αsSK?bβO/≡XVv≡↑?bε∂,Tπ'OXBε↔∀λWGεL≥⊗vNlqPVF}tπ&FTE$-Dεf↑⎇tεO'<]F"ε≡4π'OXBrαλivff}⎇⊗v:∀ε≡}nlVw&≥⎇bε/>L⊗⊗f≡=ε."/⊂hTM⎇b∧↑n↑FBb∞Mε*ε,≤6←≡L≡6BεmyFf←|\Bε↔∀
FF*
HW'ε↑.2π]NNB¬$[∂bε6⎇MF␈>\@ε↔J⊃PW∨≤6*α∞⎇εN≡∧
v*ε<≥bεn≥<Rε≡L\↔∩ε≥dπ&F≡4εn∞n\⊗bε-∀π?⊗≤M⊗v:KBπ←N@¬$-↓Q%f≡≡";β∂`εF∂4&..dF.6≥lV"ε\≡&fN↑$π&Z,Rε
∂;G≡b=vw'-⎇Bπ≡↑≡V.v<←bε∞l@π&@c"S,\;H≥
=λ∃
(≠⊃.Nα2y9H0y2P≥4π be croWded Together with the {@9QhA|↓Ie←aAKH~∃MYSOQQYr\@↓'↑Ao!K\Ai!SfAY=K↑ASLAi↑A¬aaKCHAM←Y1←oKH↓ErAB↓`∂Cπ≤)1βSF)β←KM#↔H4TkWOQπ#gC∃¬brR⊗Ebs∂#∂⊃≥QAαqαK↔n+7↔∩βg?Uε#=β;⎇!βSKJβS :∞O↔ε*∂<6F∂$rCπr.W h/→w*εMtπ'OTε
π>⊗≡*
→bεON4π∨&\≤Brα	≤bbε⎇dπ&FT
w&F↑$εF∞lABπ&
~2π∨\6N∞AQ&∂↔,≥f>.\Yg"ε|dεf/NLW↔~
≡2π&tλ↔πε\≡"bπ<∨∩bε≡@λ∞M→(⊃-lλ≠yD(≤y-n→;XlT≥z→.,#"P∀]⊂4yP≥5P12H37v&≠{rr imee@⊃SCiK1rAEr↓BAaKIS←HX↓iQJA]`'S/⊃β3↔∂3↔Mβ␈+QβSF(4+↔G#K¬β⊗∂/OdO!β∨βπ∂∃ε;⊃β≡K7C3JβSgC-→αrr$*a9↓¬;#↔K*βS#∃πβ↔K'}!β7πJβ∀4TεGOε\@λ]=~→.$≥z5
∧≠|H∞⎇=~≠n↑λ_;D
;]→..β2w4[3P9x_qrWλ*42P≠vty`3ion od∧AiQ∀~∃ga¬GBAo=aWfA%\AiQ%fAGCMJAEK
CkgJ0AErAα#↔≠πvKS'?paβ;∨rkπ3CF↔SL→β∂#∂∪π∂S/∪@_h,≡&*εmzBε∞MMw>.D	⊗rε↑]G&J\9ε∂⊗≤:F/∩∂;G≡b9vw'-yBπ≡↑≡V.v<↑7rr∧	vv*
↑W∨"
mw hαY≡.(_ ⊂→αkllOwingalphabetic character without @QQJASαsS↔K4+;';8∧π>_8q!QXY8l≡<y(∞M→(⊂m⎇<~0⊗→y⊂;w]v2⊂ \yzvrH:40zλ:44iH;pqP_P80y≥⊂7s⊂≥42P!Z0y0q]2yεE≤z94w→P0w2λ;wzf→⊂:9<H:7P &ind a {\sl contph∂XAβ≠↔GW,¬f≡/d∞FF∂D	⊗v≡N\F."∞MεO_Q(λ,L~=~-⎇X;λ
L=≥→.%Hλ∃

<h≠,∨(_Y$9≠λ∀_Z=∧{{YN↑z;YeD≤{h
≤H~5∧
<kλ
L8=Y$
=β"L≥Yλ⊂m⎇9(_L≤zh_-lλ≤Y.,89λ∞M~<h∞<X9n,<~∞⎇→;@∂≥⎇(_.,(≥≤O≥9Y`∞Mh→≠aQ\{p⊗Yz44w→P9tvZv0yπβEαE*~2P1`/nvention Rega`%⊃S]NA∃q`∪K
β@∨ε≤<W4~<k∧
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