%&mex --translate-file=il2-pl
%% test of qpxmath.tex (09.03.2001, StaW)
\def\PT{dd} %% sk�ad 10dd ;-)
\input qpxmath
\parindent0pt
%%======
\def\TEST{Nieco zwyk�ego tekstu \bf p�grubo, \it a teraz kursyw�,
a~mo�e nawet \sc Kapitalikiem. \rm OK, wystarczy. Teraz matematyka
w~tek�cie $\sum_{\alpha\rightarrow\infty}{a+1\over a-b^4}$
i~dalej ($f_m,f_n)=(f_{r_{k-1}}, f_{r_k})$. I~jeszcze $x^{4m}+y^{4m}=z^{4m}$,
gdzie $m\xgeq 1$. $\cal A + \cal G$. ${\mit\Gamma}+\Phi$. Cyfry nautyczne
$\oldstyle 1967$}

\tenpoint 10pt. \TEST

\smallskip\ninepoint 9pt. \TEST

\smallskip\eightpoint 8pt. \TEST

\medskip\tenpoint 10pt (albo czego�tam)
$$A,\dots,Z\quad a,\dots,z\quad \Gamma, \dots,\Omega\quad
 \varGamma, \dots, \varOmega\quad
 \alpha,\dots,\omega\quad \varg $$ % \varv \varw \vary not accesible
\smallskip
$$\aleph_\alpha\times\aleph_\beta=\aleph_\beta\iff \alpha\le \beta$$
\smallskip
$$\forall \varepsilon >\alpha, \Gamma_\alpha\hookrightarrow
  \Gamma_\varepsilon$$
$$|x-a| < \delta \Rightarrow |f(x)-l| < \varepsilon$$
\smallskip
$$\underbrace {V \times \cdots \times V}_k \times
  \underbrace {V \times \cdots \times V}_l \rightarrow
  \underbrace {V \times \cdots \times V}_{k+l}$$
\smallskip
$$\{x\mid x \ne x\} = \emptyset\qquad (A\cap B)^\circ\subset A^\circ
  \cap B^\circ$$
\medskip
$$\eqalign{\omega &= \nu+v(x,y)\,dx + w(x,y)\,dy+d\varPsi\cr
  d\omega &=d\nu+ \left({\partial w\over \partial x}-
  {\partial v\over \partial y}\right) dx\wedge dy\cr}$$
\medskip
$$\hat x+\widehat X+\widehat{xy}+\widehat{xyz}+\vec A$$
\smallskip
$$R_{ijkl}=-R_{jikl}=-R_{ijlk}=R_{klij}$$
\smallskip
\smallskip
$$f(x)=\cases{|x|&$x>a$\cr -|x|&$x\le a$\cr}$$
\smallskip
$$\int_{-\infty}^\infty e^{-x\cdot\,x}\,dx=\sqrt\pi$$
\smallskip
$$ X=\sum_i \xi^i {\partial\over\partial x^i}+\sum_j
  x^j{\partial\over\partial \dot x^j}$$
\smallskip
$$\prod_{j\ge0}\biggl(\sum_{k\ge0}a_{jk}z^k\biggr)
  =\sum_{n\ge0}z^n\,\Biggl(\sum_
     {\scriptstyle k_0,k_1,\ldots\ge0\atop
      \scriptstyle k_0+k_1+\cdots=n}
   a_{0k_0}a_{1k_1}\ldots\,\Biggr)$$
\smallskip
$$\def\\#1#2{(1-q^{#1_#2+n})} % to save typing
\Pi_R{a_1,a_2,\ldots,a_M\atopwithdelims[]b_1,b_2,\ldots,b_N}
  =\prod_{n=0}^R{\\a1\\a2\ldots\\aM\over\\b1\\b2\ldots\\bN}$$
\smallskip
$$\int_0^\infty{t-ib\over t^2+b^2}e^{iat}\,dt=e^{ab}E_1(ab),\qquad a,b>0$$

%%
\smallskip\ninepoint 9pt (albo czego�tam)
$$A,\dots,Z\quad a,\dots,z\quad \Gamma, \dots,\Omega\quad
 \varGamma, \dots, \varOmega\quad
 \alpha,\dots,\omega\quad \varg$$ %\quad \varv\quad \varw\quad \vary
\smallskip
$$\aleph_\alpha\times\aleph_\beta=\aleph_\beta\iff \alpha\le \beta$$
\smallskip
$$\forall \varepsilon >\alpha, \Gamma_\alpha\hookrightarrow
  \Gamma_\varepsilon$$
$$|x-a| < \delta \Rightarrow |f(x)-l| < \varepsilon$$
\smallskip
$$\underbrace {V \times \cdots \times V}_k \times
  \underbrace {V \times \cdots \times V}_l \rightarrow
  \underbrace {V \times \cdots \times V}_{k+l}$$
\smallskip
$$\{x\mid x \ne x\} = \emptyset\qquad (A\cap B)^\circ\subset A^\circ
  \cap B^\circ$$
\medskip
$$\eqalign{\omega &= \nu+v(x,y)\,dx + w(x,y)\,dy+d\varPsi\cr
  d\omega &=d\nu+ \left({\partial w\over \partial x}-
  {\partial v\over \partial y}\right) dx\wedge dy\cr}$$
\medskip
$$\hat x+\widehat X+\widehat{xy}+\widehat{xyz}+\vec A$$
\smallskip
$$R_{ijkl}=-R_{jikl}=-R_{ijlk}=R_{klij}$$
\smallskip
\smallskip
$$f(x)=\cases{|x|&$x>a$\cr -|x|&$x\le a$\cr}$$
\smallskip
$$\int_{-\infty}^\infty e^{-x\cdot\,x}\,dx=\sqrt\pi$$
\smallskip
$$ X=\sum_i \xi^i {\partial\over\partial x^i}+\sum_j
  x^j{\partial\over\partial \dot x^j}$$
\smallskip
$$\prod_{j\ge0}\biggl(\sum_{k\ge0}a_{jk}z^k\biggr)
  =\sum_{n\ge0}z^n\,\Biggl(\sum_
     {\scriptstyle k_0,k_1,\ldots\ge0\atop
      \scriptstyle k_0+k_1+\cdots=n}
   a_{0k_0}a_{1k_1}\ldots\,\Biggr)$$
\smallskip
$$\def\\#1#2{(1-q^{#1_#2+n})} % to save typing
\Pi_R{a_1,a_2,\ldots,a_M\atopwithdelims[]b_1,b_2,\ldots,b_N}
  =\prod_{n=0}^R{\\a1\\a2\ldots\\aM\over\\b1\\b2\ldots\\bN}$$
\smallskip
$$\int_0^\infty{t-ib\over t^2+b^2}e^{iat}\,dt=e^{ab}E_1(ab),\qquad a,b>0$$

%%
\smallskip \eightpoint 8pt (albo czego�tam)
$$A,\dots,Z\quad a,\dots,z\quad \Gamma, \dots,\Omega\quad
 \varGamma, \dots, \varOmega\quad
 \alpha,\dots,\omega\quad \varg$$ %\varv \varw \vary
\smallskip
$$\aleph_\alpha\times\aleph_\beta=\aleph_\beta\iff \alpha\le \beta$$
\smallskip
$$\forall \varepsilon >\alpha, \Gamma_\alpha\hookrightarrow
  \Gamma_\varepsilon$$
$$|x-a| < \delta \Rightarrow |f(x)-l| < \varepsilon$$
\smallskip
$$\underbrace {V \times \cdots \times V}_k \times
  \underbrace {V \times \cdots \times V}_l \rightarrow
  \underbrace {V \times \cdots \times V}_{k+l}$$
\smallskip
$$\{x\mid x \ne x\} = \emptyset\qquad (A\cap B)^\circ\subset A^\circ
  \cap B^\circ$$
\medskip
$$\eqalign{\omega &= \nu+v(x,y)\,dx + w(x,y)\,dy+d\varPsi\cr
  d\omega &=d\nu+ \left({\partial w\over \partial x}-
  {\partial v\over \partial y}\right) dx\wedge dy\cr}$$
\medskip
$$\hat x+\widehat X+\widehat{xy}+\widehat{xyz}+\vec A$$
\smallskip
$$R_{ijkl}=-R_{jikl}=-R_{ijlk}=R_{klij}$$
\smallskip
\smallskip
$$f(x)=\cases{|x|&$x>a$\cr -|x|&$x\le a$\cr}$$
\smallskip
$$\int_{-\infty}^\infty e^{-x\cdot\,x}\,dx=\sqrt\pi$$
\smallskip
$$ X=\sum_i \xi^i {\partial\over\partial x^i}+\sum_j
  x^j{\partial\over\partial \dot x^j}$$
\smallskip
$$\prod_{j\ge0}\biggl(\sum_{k\ge0}a_{jk}z^k\biggr)
  =\sum_{n\ge0}z^n\,\Biggl(\sum_
     {\scriptstyle k_0,k_1,\ldots\ge0\atop
      \scriptstyle k_0+k_1+\cdots=n}
   a_{0k_0}a_{1k_1}\ldots\,\Biggr)$$
\smallskip
$$\def\\#1#2{(1-q^{#1_#2+n})} % to save typing
\Pi_R{a_1,a_2,\ldots,a_M\atopwithdelims[]b_1,b_2,\ldots,b_N}
  =\prod_{n=0}^R{\\a1\\a2\ldots\\aM\over\\b1\\b2\ldots\\bN}$$
\smallskip
$$\int_0^\infty{t-ib\over t^2+b^2}e^{iat}\,dt=e^{ab}E_1(ab),\qquad a,b>0$$

\bye
