This is TeX, C Version 3.14t3 (format=lplain 93.2.22)  18 JAN 1994 11:18
**lalong
(lalong.tex
LaTeX Version 2.09 <18 March 1992>
(/usr/local/artemis/tex/lib/texinputs/article.sty
Standard Document Style `article' <14 Jan 92>.
(/usr/local/artemis/tex/lib/texinputs/art12.sty)
\c@part=\count79
\c@section=\count80
\c@subsection=\count81
\c@subsubsection=\count82
\c@paragraph=\count83
\c@subparagraph=\count84
\c@figure=\count85
\c@table=\count86
)
(/usr/local/artemis/tex/lib/texinputs/local/a4.sty) (lalong.aux) (la_intro.tex
[1

] [2] [3]) (la_text.tex [4] [5] [6] [7] [8] [9]) (la_math.tex [10]
Overfull \hbox (0.28612pt too wide) in paragraph at lines 72--72
 []\twltt polynomial. For example, if $f(x) = 3x + 7$ and $g(x) = x + 4$[] 

\hbox(8.33331+2.66666)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\twltt p
.\twltt o
.\twltt l
.etc.

[11]
Overfull \hbox (31.16113pt too wide) in paragraph at lines 72--72
 []\twltt of first degree polynomials, by the Fundamental Theorem of Algebra.[]
 

\hbox(7.33333+2.66666)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\twltt o
.\twltt f
.\penalty 10000
.etc.


Overfull \hbox (36.43915pt too wide) in paragraph at lines 92--96
\twlrm If you want an num-bered equa-tion then you use []\twltt \begin{equation
} \twlrm and []\twltt \end{equation}

\hbox(8.33331+2.66666)x411.93877, glue set - 1.0
.\twlrm I
.\twlrm f
.\glue 3.91663 plus 1.95831 minus 1.30554
.\twlrm y
.\kern-0.32639
.etc.


Overfull \hbox (0.28612pt too wide) in paragraph at lines 104--104
 []\twltt polynomial. For example, if $f(x) = 3x + 7$ and $g(x) = x + 4$[] 

\hbox(8.33331+2.66666)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\twltt p
.\twltt o
.\twltt l
.etc.

[12]
Overfull \hbox (29.43434pt too wide) in paragraph at lines 147--155
\twlrm spec-tively. Thus the ex-pres-sion $\twlmi t[] \twlrm + \twlmi x[] \twls
y ^^@ \twlmi x[]$ \twlrm is ob-tained by typ-ing []\twltt $t^3 + x_1^2 - x_2$\t
wlrm .

\hbox(9.51027+2.9666)x411.93877, glue set - 1.0
.\twlrm s
.\twlrm p
.\kern0.32639
.\twlrm e
.\twlrm c
.etc.

[13] [14]
Overfull \hbox (18.81113pt too wide) in paragraph at lines 296--296
 []\twltt in ${\bf R}^3$. The volume~$V$ of the parallelepiped with corners[] 

\hbox(8.33331+2.66666)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\twltt i
.\twltt n
.\penalty 10000
.etc.


Overfull \hbox (9.06984pt too wide) in paragraph at lines 336--339
\twlrm con-vert-ing to the ro-man font. Thus one ob-tains $[](\twlmi V\twlrm )$
 by typ-ing []\twltt ${\rm Aut}(V)$\twlrm . 

\hbox(9.0+3.0)x411.93877, glue set - 1.0
.\twlrm c
.\twlrm o
.\discretionary replacing 2
..\twlrm n
..\twlrm -
.\twlrm n
.\kern-0.32639
.etc.


Overfull \hbox (24.98613pt too wide) in paragraph at lines 354--354
 [] []\twltt \[ M^\bot = \{ f \in V' : f(m) = 0 \mbox{ for all } m \in M \}. \]
[] 

\hbox(8.33331+0.99997)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\glue 0.0
.\hbox(0.0+0.0)x0.0
..\glue 0.0
..\glue 0.0
..\glue -23.49976
..\glue -5.87494
..\hbox(0.0+0.0)x23.49976, glue set 23.49976fil
...\glue 0.0 plus 1.0fil
..etc.
.\penalty 0
.etc.


Overfull \hbox (12.63612pt too wide) in paragraph at lines 361--361
 [] []\twltt \[ M^\bot = \{ f \in V' : f(m) = 0 \mbox{for all} m \in M \}. \][]
 

\hbox(8.33331+0.99997)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\glue 0.0
.\hbox(0.0+0.0)x0.0
..\glue 0.0
..\glue 0.0
..\glue -23.49976
..\glue -5.87494
..\hbox(0.0+0.0)x23.49976, glue set 23.49976fil
...\glue 0.0 plus 1.0fil
..etc.
.\penalty 0
.etc.

[15] [16] [17]
Overfull \hbox (12.63612pt too wide) in paragraph at lines 503--503
 [] []\twltt \[ f(x,y,z) = 3y^2 z \left( 3 + \frac{7x+5}{1 + y^2} \right). \][]
 

\hbox(8.33331+2.66666)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\glue 0.0
.\hbox(0.0+0.0)x0.0
..\glue 0.0
..\glue 0.0
..\glue -23.49976
..\glue -5.87494
..\hbox(0.0+0.0)x23.49976, glue set 23.49976fil
...\glue 0.0 plus 1.0fil
..etc.
.\penalty 0
.etc.


Overfull \hbox (18.81113pt too wide) in paragraph at lines 516--516
 [] []\twltt \[ \left| 4 x^3 + \left( x + \frac{42}{1+x^4} \right) \right|. \][
] 

\hbox(8.33331+2.66666)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\glue 0.0
.\hbox(0.0+0.0)x0.0
..\glue 0.0
..\glue 0.0
..\glue -23.49976
..\glue -5.87494
..\hbox(0.0+0.0)x23.49976, glue set 23.49976fil
...\glue 0.0 plus 1.0fil
..etc.
.\penalty 0
.etc.

[18]
Overfull \hbox (12.63612pt too wide) in paragraph at lines 597--597
 []\twltt \frac{(\zeta - z) - (\zeta - z - h)}{(\zeta - z - h)(\zeta - z)}[] 

\hbox(8.33331+0.99997)x411.93877
.\glue(\leftskip) 29.3747
.\hbox(0.0+0.0)x0.0
.\twltt \
.\twltt f
.\twltt r
.etc.

[19] [20]
Overfull \hbox (57.0772pt too wide) in paragraph at lines 710--712
[] [][]\twltt \frac{\partial u}{\partial t} \twlrm and []\twltt \frac{\partial^
2 u}{\partial x^2}\twlrm . 

\hbox(8.33331+2.66666)x353.18938, glue set - 1.0
.\hbox(0.0+0.0)x0.0
.\glue 0.0
.\hbox(0.0+0.0)x0.0
..\glue 0.0
..\glue -23.49976
..\glue -5.87494
..\hbox(0.0+0.0)x23.49976, glue set 23.49976fil
...\glue 0.0 plus 1.0fil
..\glue 5.87494
.\penalty 0
.\hbox(0.0+0.0)x0.0
.etc.


Overfull \hbox (7.8372pt too wide) in paragraph at lines 715--718
\twlrm in dis-played equa-tions we type []\twltt \lim_{x \to +\infty}\twlrm , [
]\twltt \inf_{x > s} \twlrm and []\twltt \sup_K

\hbox(8.33331+2.66666)x411.93877, glue set - 1.0
.\twlrm i
.\twlrm n
.\glue 3.91663 plus 1.95831 minus 1.30554
.\twlrm d
.\twlrm i
.etc.

[21] [22] [23] [24]) (la_furth.tex
Overfull \hbox (12.68561pt too wide) in paragraph at lines 4--9
\twlrm To pro-duce (hor-i-zon-tal) blank space within a para-graph, use []\twlt
t \hspace \twlrm and []\twltt \hspace*\twlrm ,

\hbox(9.0+3.0)x411.93877, glue set - 1.0
.\twlrm T
.\kern-0.97916
.\twlrm o
.\glue 3.91663 plus 1.95831 minus 1.30554
.\twlrm p
.etc.

[25] [26]
Overfull \hbox (11.57274pt too wide) in paragraph at lines 156--160
\twlrm lowed by the []\twltt \begin{document} \twlrm com-mand, and must end wit
h the []\twltt \end{document}

\hbox(8.33331+2.66666)x411.93877, glue set - 1.0
.\twlrm l
.\twlrm o
.\kern-0.32639
.\twlrm w
.\kern-0.32639
.etc.

[27]
Overfull \hbox (43.95018pt too wide) in paragraph at lines 224--231
\twlrm mand should come af-ter the []\twltt \documentstyle \twlrm com-mand and 
be-fore the []\twltt \begin{document}

\hbox(8.33331+2.66666)x411.93877, glue set - 1.0
.\twlrm m
.\twlrm a
.\twlrm n
.\twlrm d
.\glue 3.91663 plus 1.95831 minus 1.30554
.etc.

[28]
Overfull \hbox (1.28844pt too wide) in paragraph at lines 286--290
\twlrm near the be-gin-ning of the in-put file (the best place be-ing af-ter th
e []\twltt \documentstyle

\hbox(9.0+3.0)x411.93877, glue set - 1.0
.\twlrm n
.\twlrm e
.\twlrm a
.\twlrm r
.\glue 3.91663 plus 1.95831 minus 1.30554
.etc.

[29]
Overfull \hbox (6.18317pt too wide) in paragraph at lines 318--324
[]\twlrm The num-ber 1 in-side square brack-ets in the []\twltt \newcommand \tw
lrm line defin-ing []\twltt \intwrtx

\hbox(8.33331+2.33331)x411.93877, glue set - 1.0
.\hbox(0.0+0.0)x17.62482
.\twlrm T
.\twlrm h
.\twlrm e
.\glue 3.91663 plus 1.95831 minus 1.30554
.etc.

) (la_txtcs.tex [30]) (la_mthcs.tex
Overfull \hbox (23.69035pt too wide) in paragraph at lines 1--1
[]\svtnbf Control Se-quences used in Math-e-mat-ics (\svtnrm L[]T[]X\svtnbf ) 

\hbox(12.95999+5.2072)x411.93877, glue set - 1.0
.\hbox(11.856+0.0)x34.00781
..\glue 0.0
..\svtnbf B
..\glue 19.87189
.\svtnbf C
.\svtnbf o
.\svtnbf n
.\kern-0.552
.etc.

[31] [32] [33] [34]
Overfull \hbox (8.13516pt too wide) detected at line 160
[]

\hbox(81.0+74.99998)x411.93877
.\vbox(81.0+74.99998)x420.07393
..\hbox(8.33333+2.66666)x420.07393
...\glue(\tabskip) 0.0
...\hbox(8.33333+2.66666)x134.64981, glue set 49.40002fil []
...\glue(\tabskip) 0.0
...\hbox(8.33333+2.66666)x164.32457, glue set 30.87502fil []
...\glue(\tabskip) 0.0
...etc.
..\glue(\baselineskip) 3.50002
..\hbox(8.33333+2.66666)x420.07393
...\glue(\tabskip) 0.0
...\hbox(8.33333+2.66666)x134.64981, glue set 49.40002fil []
...\glue(\tabskip) 0.0
...\hbox(8.33333+2.66666)x164.32457, glue set 30.87502fil []
...\glue(\tabskip) 0.0
...etc.
..\glue(\baselineskip) 3.50002
..\hbox(8.33333+2.66666)x420.07393
...\glue(\tabskip) 0.0
...\hbox(8.33333+2.66666)x134.64981, glue set 43.22502fil []
...\glue(\tabskip) 0.0
...\hbox(8.33333+2.66666)x164.32457, glue set 24.70001fil []
...\glue(\tabskip) 0.0
...etc.
..etc.

[35] [36]) (lalong.toc [37])
\tf@toc=\write3
 [38] (lalong.aux) ) 
Here is how much of TeX's memory you used:
 225 strings out of 4456
 2221 string characters out of 63240
 34165 words of memory out of 262141
 2155 multiletter control sequences out of 9500
 20501 words of font info for 77 fonts, out of 72000 for 255
 14 hyphenation exceptions out of 607
 16i,16n,18p,188b,517s stack positions out of 300i,40n,60p,3000b,4000s

Output written on lalong.dvi (38 pages, 105692 bytes).