perm filename HAIR.TEX[TEX,ALS] blob sn#611382 filedate 1981-09-10 generic text, type T, neo UTF8
\input basic
\def\corners{\vbox to 0pt{\lineskip 0pt \vskip -24pt
	\hbox to size{\vrule height .2pt width 11pt \hfill \vrule width 11pt}
	\hbox to size{\vrule height 11pt width .2pt \hfill \vrule width .2pt}
	\vfill}}		% this will indicate true top corners on title page
\def\boxit#1{\vbox{\hrule
\hbox{\vrule\hskip 3pt\vbox{\vskip 3pt #1 \vskip 3pt}\hskip 3pt\vrule}
\hrule}}
\corners
Consider the formula{
$$\lg\ln\sqrt{\pi\over2}\neqv\left\char'656\left\char'477617
{\leftvv P \rightvv + P↓j \cdot P↑2↓j \otimes {13 \over 691}{n\choose k}↑2
\above 1pt
{\textstyle\int↓{-∞}↑{+∞}x↑{\left\langle\prod↓{k\grgr0}a↓kb↓k\right\rangle
}
↓{\sqrt{a↓j}}\,dx \over
\dispstyle\oint\limitswitch↓{|z|=1}
\overline{\int↓{\min(a↓i,0)}↑{\max(b↓{b↓j},0)}
\sum↓{\scriptstyle0≤i≤m\atop\scriptstyle0\prec j\prec n}{x}↑{\underline3}
\,d\theta}\;dz}}
\A{\A{\A A}}\vcenter{\boxit{\boxit{\vbox{\hbox{8}}}}}\right.
+O\left(\log↓3n\over n!\right)\right\char'657↓\alpha,\leqno[4a↑\prime]$$}\!
for $j=1,\ldots,n.$
This is some pretty foolish nonsense box to test
out the crazy features of this justifier.
$$\boxit{\boxit{\boxit{
\vbox{\tabskip 0pt
\def\|{\vrule height 9.25pt depth 3pt}
\def\.{\hskip-10pt plus 1fil}
\hrule
\hbox to 150pt{\|\.AT&T Common Stock\.\|}
\hrule
\halign to 150pt{#\tabskip 0pt plus 100pt
⊗\hfill#⊗#⊗\ctr{#}⊗#⊗\hfill#⊗#\tabskip 0pt\cr
\|⊗\.Year\.\hfill⊗\|⊗\.Price\.⊗\|⊗\.Dividend\.\hfill⊗\|\cr
\noalign{\hrule}
\|⊗1971⊗\|⊗41--54⊗\|⊗$\$$2.60⊗\|\cr\noalign{\hrule}
\|⊗2⊗\|⊗41--54⊗\|⊗2.70⊗\|\cr\noalign{\hrule}
\|⊗3⊗\|⊗46--55⊗\|⊗2.87⊗\|\cr\noalign{\hrule}
\|⊗4⊗\|⊗40--53⊗\|⊗3.24⊗\|\cr\noalign{\hrule}
\|⊗5⊗\|⊗45--52⊗\|⊗3.40⊗\|\cr\noalign{\hrule}
\|⊗6⊗\|⊗51--59⊗\|⊗.95\spose*⊗\|\cr\noalign{\hrule}}
\vskip 3pt
\hbox{*(first quarter only)}}}}}$$
A simple radical.
$$\sqrt{1+\sqrt{2+\sqrt{3+\sqrt{4+x}}}}$$
And a matrix.
$$\sqrt{A= \left(\vcenter{
\halign{$\ctr{#}$\quad⊗$\ctr{#}$⊗$\ctr{#}$\cr
x-\lambda⊗1⊗0\cr
0⊗{\dispstyle 1 \over{1+x↑2}}⊗1\cr
0⊗1⊗x-\lambda\cr}}\right)}$$
\par\vfill
\end