This is TeX, Version 3.14159 (Web2C 7.3.1) (format=tex 2003.4.12)  18 FEB 2004 20:06
**\nonstopmode\input header-fr.tex
(header-fr.tex
! 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{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Undefined control sequence.
l.34 \newcommand
                {\N}{\mathbf{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.34 \newcommand{\N
                   }{\mathbf{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.34 \newcommand{\N}{\mathbf
                            {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.35 \newcommand
                {\Z}{\mathbf{Z}}
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.35 \newcommand{\Z
                   }{\mathbf{Z}}
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.35 \newcommand{\Z}{\mathbf
                            {Z}}
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.36 \newcommand
                {\Q}{\mathbf{Q}}
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.36 \newcommand{\Q
                   }{\mathbf{Q}}
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.36 \newcommand{\Q}{\mathbf
                            {Q}}
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.37 \newcommand
                {\R}{\mathbf{R}}
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.37 \newcommand{\R
                   }{\mathbf{R}}
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.37 \newcommand{\R}{\mathbf
                            {R}}
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.38 \newcommand
                {\C}{\mathcal{C}}
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.38 \newcommand{\C
                   }{\mathcal{C}}
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.38 \newcommand{\C}{\mathcal
                             {C}}
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.39 \newcommand
                {\CC}{\mathbf{C}}
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.39 \newcommand{\CC
                    }{\mathbf{C}}
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.39 \newcommand{\CC}{\mathbf
                             {C}}
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.40 \newcommand
                {\m}{{\textmd{mod}\,\,}}
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.40 \newcommand{\m
                   }{{\textmd{mod}\,\,}}
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.40 \newcommand{\m}{{\textmd
                             {mod}\,\,}}
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.41 \renewcommand
                  {\a}{\angle}
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.41 \renewcommand{\a
                     }{\angle}
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.42 \renewcommand
                  {\d}{\Delta}
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 \d has an extra }.
<inserted text> 
                \par 
<to be read again> 
                   }
l.42 \renewcommand{\d}
                      {\Delta}
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.

! Missing $ inserted.
<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{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

! Undefined control sequence.
l.43 \renewcommand
                  {\to}{\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.44 \renewcommand
                  {\v}{\emptyset}
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 \v has an extra }.
<inserted text> 
                \par 
<to be read again> 
                   }
l.44 \renewcommand{\v}
                      {\emptyset}
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.
\v #1->{\accent 
                20 #1}
<inserted text> 
                \par 
<to be read again> 
                   }
l.44 \renewcommand{\v}
                      {\emptyset}
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.44 \renewcommand{\v}
                      {\emptyset}
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.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> 
                $
<to be read again> 
                   _
l.50 \newcommand{\vv}[1]{{#1}_
                              1,{#1}_2,\ldots ,{#1}_n}
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.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'.

! 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).