\input Amiga.tex
\hsize=6.3in
\vsize=9.85in
\tolerance=10000
\voffset=-0.35in
\parskip=8pt
\font\Pa = cmss12 scaled \magstep 0
\font\Pb = cmr12 scaled \magstep 0
\font\Pc = cmr10 scaled \magstep 0
\font\Pd = cmr12 scaled \magstep 3
\font\Pe = cmsl12 scaled \magstep 0
\font\Pf = cmsy8 scaled \magstep 0
\font\Pg = cmtt9 scaled \magstep 0
\font\Pz = cmbxsl10 scaled \magstep 1

\def\ss{\char124 \hskip2pt}
\def\\{\char92{}}          %%%%% backslash %%%%%
\def\lb{\char'173{}}       %%%%% left brace %%%%%
\def\rb{\char'175{}}       %%%%% right brace %%%%%
\def\sp{\char32{}}         %%%%% special space symbol %%%%%
\def\beginliteral{
\vskip\baselineskip
\begingroup
\Pg
\obeylines
%{\obeyspaces\global\let =\ }
\catcode`\@=0
\parskip=0pt\parindent=0pt
\catcode`\$=12\catcode`\&=12\catcode`\^=12\catcode`\#=12
\catcode`\_=12\catcode`\~=12
\def\par{\leavevmode\endgraf}
\catcode`\{=12\catcode`\}=12\catcode`\%=12\catcode`\\=12
}
\def\endliteral{\endgroup}

\Pc
\centerline {\TeX\ C'est aussi les Mathématiques. Voici quelques exemples:}


\goodbreak \vskip 2pt \hrule
\beginliteral
$C(n,r) = n!/(r!\,(n-r)!)$
@endliteral
$C(n,r) = n!/(r!\,(n-r)!)$
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$a+b=c-d=xy=w/z$
$$a+b=c-d=xy=w/z$$
@endliteral
$a+b=c-d=xy=w/z$
$$a+b=c-d=xy=w/z$$
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$(fg)' = f'g + fg'$
$$(fg)' = f'g + fg'$$
@endliteral
$(fg)' = f'g + fg'$
$$(fg)' = f'g + fg'$$
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\alpha\beta=\gamma+\delta$
$$\alpha\beta=\gamma+\delta$$
@endliteral
$\alpha\beta=\gamma+\delta$
$$\alpha\beta=\gamma+\delta$$
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\Gamma(n) = (n-1)!$
$$\Gamma(n) = (n-1)!$$
@endliteral
$\Gamma(n) = (n-1)!$
$$\Gamma(n) = (n-1)!$$
\vskip \baselineskip \hrule

\goodbreak \vskip 2pt \hrule
\beginliteral
$x\wedge (y\vee z) = (x\wedge y) \vee (x\wedge z)$
@endliteral
$x\wedge (y\vee z) = (x\wedge y) \vee (x\wedge z)$
\vskip \baselineskip \hrule

\goodbreak \vskip 2pt \hrule
\beginliteral
$2+4+6+\cdots +2n = n(n+1)$
@endliteral
$2+4+6+\cdots +2n = n(n+1)$
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\vec x\cdot \vec y  = 0$ if and only if $\vec x \perp \vec y$.
@endliteral
$\vec x\cdot \vec y  = 0$ if and only if $\vec x \perp \vec y$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\vec x\cdot \vec y \not= 0$ if and only if $\vec x \not\perp \vec y$.
@endliteral
$\vec x\cdot \vec y \not= 0$ if and only if $\vec x \not\perp \vec y$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$(\forall x\in \Re)(\exists y\in\Re)$ $y>x$.
@endliteral
$(\forall x\in \Re)(\exists y\in\Re)$ $y>x$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
${a+b\over c}\quad {a\over b+c}\quad {1\over a+b+c} \not= {1\over a}+
{1\over b}+{1\over c}$.
@endliteral
${a+b\over c}\quad {a\over b+c}\quad {1\over a+b+c} \not= {1\over a}+
{1\over b}+{1\over c}$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
What are the points where ${\partial \over \partial x} f(x,y) = {\partial \over
\partial y} f(x,y) = 0$?
@endliteral
What are the points where ${\partial \over \partial x} f(x,y) = {\partial \over
\partial y} f(x,y) = 0$?
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$e^x \quad e^{-x} \quad e^{i\pi}+1=0 \quad x_0 \quad x_0^2
\quad {x_0}^2 \quad 2^{x^x}$.
@endliteral
$e^x \quad e^{-x} \quad e^{i\pi}+1=0 \quad x_0 \quad x_0^2
\quad {x_0}^2 \quad 2^{x^x}$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\nabla^2 f(x,y) = {\partial^2 f \over\partial x^2}+ {\partial^2 f \over
\partial y^2}$.
@endliteral
$\nabla^2 f(x,y) = {\partial^2 f \over\partial x^2}+ {\partial^2 f \over
\partial y^2}$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\lim_{x\to 0} (1+x)^{1\over x}=e$.
@endliteral
$\lim_{x\to 0} (1+x)^{1\over x}=e$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
The cardinality of $(-\infty, \infty)$ is $\aleph_1$.
@endliteral
The cardinality of $(-\infty, \infty)$ is $\aleph_1$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\lim_{x\to {0^+}} x^x = 1$.
@endliteral
$\lim_{x\to {0^+}} x^x = 1$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\int_0^1 3x^2\,dx = 1$.
@endliteral
$\int_0^1 3x^2\,dx = 1$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\sqrt2 \quad \sqrt {x+y\over x-y} \quad \root 3 \of {10}$ \quad $e^{\sqrt x}$.
@endliteral
$\sqrt2 \quad \sqrt {x+y\over x-y} \quad \root 3 \of {10}$ \quad $e^{\sqrt x}$.
\vskip \baselineskip \hrule


\goodbreak \vskip 2pt \hrule
\beginliteral
$\|x\| = \sqrt{x\cdot x}$.
@endliteral
$\|x\| = \sqrt{x\cdot x}$.
\vskip \baselineskip \hrule

\end

}