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This is TeX, Version 3.14159 (Web2C 7.3.1) (format=tex 2003.4.12)  18 FEB 2004 20:06
! Undefined control sequence.
l.8 \usepackage
{latexsym, amsfonts, graphicx, amsthm}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.16 \hoffset=-0.05\textwidth

The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.17 \textwidth
=1.1\textwidth
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Illegal unit of measure (pt inserted).
<to be read again>
=
l.17 \textwidth=
1.1\textwidth
Dimensions can be in units of em, ex, in, pt, pc,
cm, mm, dd, cc, bp, or sp; but yours is a new one!
I'll assume that you meant to say pt, for printer's points.
To recover gracefully from this error, it's best to
delete the erroneous units; e.g., type 2' to delete
two letters. (See Chapter 27 of The TeXbook.)

! Undefined control sequence.
l.17 \textwidth=1.1\textwidth

The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.18 \voffset=-0.05\textheight

The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.19 \textheight
=1.1\textheight
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Illegal unit of measure (pt inserted).
<to be read again>
=
l.19 \textheight=
1.1\textheight
Dimensions can be in units of em, ex, in, pt, pc,
cm, mm, dd, cc, bp, or sp; but yours is a new one!
I'll assume that you meant to say pt, for printer's points.
To recover gracefully from this error, it's best to
delete the erroneous units; e.g., type 2' to delete
two letters. (See Chapter 27 of The TeXbook.)

! Undefined control sequence.
l.19 \textheight=1.1\textheight

The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.33 \newcommand
{\rez}{\Longrightarrow}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.33 \newcommand{\rez
}{\Longrightarrow}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Missing $inserted. <inserted text>$
<to be read again>
\mathrel
\Relbar ->\mathrel
=
\Longrightarrow ->\Relbar
\joinrel \Rightarrow
l.33 \newcommand{\rez}{\Longrightarrow
}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Extra }, or forgotten $. l.33 \newcommand{\rez}{\Longrightarrow} I've deleted a group-closing symbol because it seems to be spurious, as in $x}$'. But perhaps the } is legitimate and you forgot something else, as in \hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
<inserted text>
$<to be read again> \par <to be read again> } l.42 \renewcommand{\d} {\Delta} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Missing } inserted. <inserted text> } <to be read again>$
<to be read again>
\par
<to be read again>
}
l.42 \renewcommand{\d}
{\Delta}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing 2' now; then
my insertion and my current dilemma will both disappear.

! Missing $inserted. <inserted text>$
<to be read again>
\Delta
l.42 \renewcommand{\d}{\Delta
}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Extra }, or forgotten $. l.42 \renewcommand{\d}{\Delta} I've deleted a group-closing symbol because it seems to be spurious, as in $x}$'. But perhaps the } is legitimate and you forgot something else, as in \hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
<inserted text>
$<to be read again> \par <to be read again> } l.44 \renewcommand{\v} {\emptyset} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Missing } inserted. <inserted text> } <to be read again>$
<to be read again>
\par
<to be read again>
}
l.44 \renewcommand{\v}
{\emptyset}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing 2' now; then
my insertion and my current dilemma will both disappear.

! Missing } inserted.
<inserted text>
}
<to be read again>
$<to be read again> \par <to be read again> } l.44 \renewcommand{\v} {\emptyset} I've inserted something that you may have forgotten. (See the <inserted text> above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing 2' now; then my insertion and my current dilemma will both disappear. ! Missing$ inserted.
<inserted text>
$<to be read again> \emptyset l.44 \renewcommand{\v}{\emptyset } I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten$.
l.44 \renewcommand{\v}{\emptyset}

I've deleted a group-closing symbol because it seems to be
spurious, as in $x}$'. But perhaps the } is legitimate and
you forgot something else, as in \hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing I$}'.

! Undefined control sequence.
l.45 \renewcommand
{\u}{$\cup$}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Argument of \u has an extra }.
<inserted text>
\par
<to be read again>
}
l.45 \renewcommand{\u}
{$\cup$}
I've run across a }' that doesn't seem to match anything.
For example, \def\a#1{...}' and \a}' would produce
this error. If you simply proceed now, the \par' that
I've just inserted will cause me to report a runaway
argument that might be the root of the problem. But if
your }' was spurious, just type 2' and it will go away.

! Please use \mathaccent for accents in math mode.
\u #1->{\accent
21 #1}
<inserted text>
\par
<to be read again>
}
l.45 \renewcommand{\u}
{$\cup$}
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! Missing { inserted.
<to be read again>
}
<inserted text>
\par
<to be read again>
}
l.45 \renewcommand{\u}
{$\cup$}
A left brace was mandatory here, so I've put one in.
You might want to delete and/or insert some corrections
so that I will find a matching right brace soon.
(If you're confused by all this, try typing I}' now.)

! Missing $inserted. <inserted text>$
<to be read again>
\par
<to be read again>
}
l.45 \renewcommand{\u}
{$\cup$}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Missing } inserted.
<inserted text>
}
<to be read again>
$<to be read again> \par <to be read again> } l.45 \renewcommand{\u} {$\cup$} I've inserted something that you may have forgotten. (See the <inserted text> above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing 2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. <inserted text> } <to be read again>$
<to be read again>
\par
<to be read again>
}
l.45 \renewcommand{\u}
{$\cup$}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing 2' now; then
my insertion and my current dilemma will both disappear.

! Undefined control sequence.
l.46 \newcommand
{\intp}[1]{\lfloor {#1} \rfloor}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.46 \newcommand{\intp
}[1]{\lfloor {#1} \rfloor}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Missing $inserted. <inserted text>$
<to be read again>
\delimiter
\lfloor ->\delimiter
"4262304
l.46 \newcommand{\intp}[1]{\lfloor
{#1} \rfloor}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! You can't use macro parameter character #' in math mode.
l.46 \newcommand{\intp}[1]{\lfloor {#
1} \rfloor}
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing I}' or I$' or I\par'. ! Extra }, or forgotten$.
l.46 \newcommand{\intp}[1]{\lfloor {#1} \rfloor}

I've deleted a group-closing symbol because it seems to be
spurious, as in $x}$'. But perhaps the } is legitimate and
you forgot something else, as in \hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing I$}'.

! Undefined control sequence.
l.47 \newcommand
{\binom}[2]{{{#1} \choose {#2}}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.47 \newcommand{\binom
}[2]{{{#1} \choose {#2}}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! You can't use macro parameter character #' in math mode.
l.47 \newcommand{\binom}[2]{{{#
1} \choose {#2}}}
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing I}' or I$' or I\par'. ! You can't use macro parameter character #' in math mode. l.47 \newcommand{\binom}[2]{{{#1} \choose {# 2}}} Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing I}' or I$' or I\par'.

! Undefined control sequence.
l.48 \newcommand
{\dg}{^{\circ}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.48 \newcommand{\dg
}{^{\circ}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Missing $inserted. <inserted text>$
<to be read again>
\par
l.49

I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Undefined control sequence.
l.50 \newcommand
{\vv}[1]{{#1}_1,{#1}_2,\ldots ,{#1}_n}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.50 \newcommand{\vv
}[1]{{#1}_1,{#1}_2,\ldots ,{#1}_n}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! You can't use macro parameter character #' in horizontal mode.
l.50 \newcommand{\vv}[1]{{#
1}_1,{#1}_2,\ldots ,{#1}_n}
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing I}' or I$' or I\par'. ! Missing$ inserted.
<inserted text>

! You can't use macro parameter character #' in math mode.
l.50 \newcommand{\vv}[1]{{#1}_1,{#1}_2,\ldots ,{#
1}_n}
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing I}' or I$' or I\par'. ! Extra }, or forgotten$.
l.50 ...mand{\vv}[1]{{#1}_1,{#1}_2,\ldots ,{#1}_n}

I've deleted a group-closing symbol because it seems to be
spurious, as in $x}$'. But perhaps the } is legitimate and
you forgot something else, as in \hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing I$}'.

! Undefined control sequence.
l.51 \newcommand
{\vvi}[1]{{#1}_1,{#1}_2,\ldots}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.51 \newcommand{\vvi
}[1]{{#1}_1,{#1}_2,\ldots}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! You can't use macro parameter character #' in math mode.
l.51 \newcommand{\vvi}[1]{{#
1}_1,{#1}_2,\ldots}
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing I}' or I$' or I\par'. ! You can't use macro parameter character #' in math mode. l.51 \newcommand{\vvi}[1]{{#1}_1,{# 1}_2,\ldots} Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing I}' or I$' or I\par'.

! Undefined control sequence.
l.52 \newcommand
{\vvn}[2]{{#1}_1,{#1}_2,\ldots ,{#1}_{#2}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.52 \newcommand{\vvn
}[2]{{#1}_1,{#1}_2,\ldots ,{#1}_{#2}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! You can't use macro parameter character #' in math mode.
l.52 \newcommand{\vvn}[2]{{#
1}_1,{#1}_2,\ldots ,{#1}_{#2}}
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing I}' or I$' or I\par'. ! You can't use macro parameter character #' in math mode. l.52 \newcommand{\vvn}[2]{{#1}_1,{# 1}_2,\ldots ,{#1}_{#2}} Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing I}' or I$' or I\par'.

! You can't use macro parameter character #' in math mode.
l.52 \newcommand{\vvn}[2]{{#1}_1,{#1}_2,\ldots ,{#
1}_{#2}}
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing I}' or I$' or I\par'. ! You can't use macro parameter character #' in math mode. l.52 ...and{\vvn}[2]{{#1}_1,{#1}_2,\ldots ,{#1}_{# 2}} Sorry, but I'm not programmed to handle this case; I'll just pretend that you didn't ask for it. If you're in the wrong mode, you might be able to return to the right one by typing I}' or I$' or I\par'.

! Missing $inserted. <inserted text>$
<to be read again>
\par
l.53

I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

! Undefined control sequence.
l.54 \newcommand
{\bea}{\begin{eqnarray*}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.54 \newcommand{\bea
}{\begin{eqnarray*}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.54 \newcommand{\bea}{\begin
{eqnarray*}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.55 \newcommand
{\eea}{\end{eqnarray*}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
l.55 \newcommand{\eea
}{\end{eqnarray*}}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., \hobx'), type I' and the correct
spelling (e.g., I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[1] )
(\end occurred inside a group at level 3)
Output written on header-fr.dvi (1 page, 964 bytes).
`