1 #LyX 2.3 created this file. For more info see http://www.lyx.org/
5 \save_transient_properties true
6 \origin /systemlyxdir/examples/
8 \options tablecaptionabove
9 \use_default_options true
13 \maintain_unincluded_children false
15 \language_package default
18 \font_roman "default" "default"
19 \font_sans "default" "default"
20 \font_typewriter "default" "default"
21 \font_math "auto" "auto"
22 \font_default_family default
23 \use_non_tex_fonts false
26 \font_sf_scale 100 100
27 \font_tt_scale 100 100
29 \use_dash_ligatures false
31 \default_output_format default
33 \bibtex_command default
34 \index_command default
40 \use_package amsmath 1
41 \use_package amssymb 1
44 \use_package mathdots 1
45 \use_package mathtools 1
47 \use_package stackrel 1
48 \use_package stmaryrd 1
49 \use_package undertilde 1
51 \cite_engine_type default
55 \paperorientation portrait
65 \paragraph_separation indent
66 \paragraph_indentation default
71 \paperpagestyle default
72 \tracking_changes false
82 Floats Side-by-Side using the Module
84 Variable-width Minipages
87 \begin_layout Standard
88 \begin_inset Note Note
91 \begin_layout Plain Layout
92 To view this file you need to have the \SpecialChar LaTeX
105 \begin_layout Section
106 Graphics side-by-side
109 \begin_layout Standard
110 \begin_inset Float figure
116 \begin_layout Plain Layout
117 \begin_inset space \hfill{}
121 \begin_inset Flex Minipage (Var. Width)
124 \begin_layout Plain Layout
125 \begin_inset Argument 1
128 \begin_layout Plain Layout
135 \begin_inset Graphics
136 filename ../doc/clipart/escher-lsd.eps
142 \begin_inset Caption Standard
144 \begin_layout Plain Layout
156 \begin_inset space \hfill{}
160 \begin_inset space \hfill{}
164 \begin_inset Flex Minipage (Var. Width)
167 \begin_layout Plain Layout
168 \begin_inset Argument 1
171 \begin_layout Plain Layout
178 \begin_inset Graphics
179 filename ../doc/clipart/platypus.eps
185 \begin_inset Caption Standard
187 \begin_layout Plain Layout
199 \begin_inset space \hfill{}
210 \begin_layout Section
214 \begin_layout Standard
215 \begin_inset Float table
221 \begin_layout Plain Layout
222 \begin_inset space \hfill{}
226 \begin_inset Flex Minipage (Var. Width)
229 \begin_layout Plain Layout
230 \begin_inset Argument 1
233 \begin_layout Plain Layout
240 \begin_inset Caption Standard
242 \begin_layout Plain Layout
251 \begin_layout Plain Layout
253 <lyxtabular version="3" rows="5" columns="5">
254 <features tabularvalignment="middle">
255 <column alignment="center" valignment="top" width="0pt">
256 <column alignment="center" valignment="top">
257 <column alignment="center" valignment="top">
258 <column alignment="center" valignment="top">
259 <column alignment="center" valignment="top">
261 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
264 \begin_layout Plain Layout
270 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
273 \begin_layout Plain Layout
279 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
282 \begin_layout Plain Layout
288 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
291 \begin_layout Plain Layout
297 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
300 \begin_layout Plain Layout
308 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
311 \begin_layout Plain Layout
317 <cell alignment="center" valignment="top" usebox="none">
320 \begin_layout Plain Layout
326 <cell alignment="center" valignment="top" usebox="none">
329 \begin_layout Plain Layout
335 <cell alignment="center" valignment="top" usebox="none">
338 \begin_layout Plain Layout
344 <cell alignment="center" valignment="top" rightline="true" usebox="none">
347 \begin_layout Plain Layout
355 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
358 \begin_layout Plain Layout
364 <cell alignment="center" valignment="top" usebox="none">
367 \begin_layout Plain Layout
373 <cell alignment="center" valignment="top" usebox="none">
376 \begin_layout Plain Layout
382 <cell alignment="center" valignment="top" usebox="none">
385 \begin_layout Plain Layout
391 <cell alignment="center" valignment="top" rightline="true" usebox="none">
394 \begin_layout Plain Layout
402 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
405 \begin_layout Plain Layout
411 <cell alignment="center" valignment="top" usebox="none">
414 \begin_layout Plain Layout
420 <cell alignment="center" valignment="top" usebox="none">
423 \begin_layout Plain Layout
429 <cell alignment="center" valignment="top" usebox="none">
432 \begin_layout Plain Layout
438 <cell alignment="center" valignment="top" rightline="true" usebox="none">
441 \begin_layout Plain Layout
449 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
452 \begin_layout Plain Layout
458 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
461 \begin_layout Plain Layout
467 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
470 \begin_layout Plain Layout
476 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
479 \begin_layout Plain Layout
485 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
488 \begin_layout Plain Layout
505 \begin_inset space \hfill{}
509 \begin_inset space \hfill{}
513 \begin_inset Flex Minipage (Var. Width)
516 \begin_layout Plain Layout
517 \begin_inset Argument 1
520 \begin_layout Plain Layout
527 \begin_inset Caption Standard
529 \begin_layout Plain Layout
538 \begin_layout Plain Layout
540 <lyxtabular version="3" rows="6" columns="5">
541 <features tabularvalignment="middle">
542 <column alignment="center" valignment="top" width="0pt">
543 <column alignment="center" valignment="top">
544 <column alignment="center" valignment="top">
545 <column alignment="center" valignment="top">
546 <column alignment="center" valignment="top">
548 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
551 \begin_layout Plain Layout
557 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
560 \begin_layout Plain Layout
566 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
569 \begin_layout Plain Layout
575 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
578 \begin_layout Plain Layout
584 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
587 \begin_layout Plain Layout
595 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
598 \begin_layout Plain Layout
604 <cell alignment="center" valignment="top" usebox="none">
607 \begin_layout Plain Layout
613 <cell alignment="center" valignment="top" usebox="none">
616 \begin_layout Plain Layout
622 <cell alignment="center" valignment="top" usebox="none">
625 \begin_layout Plain Layout
631 <cell alignment="center" valignment="top" rightline="true" usebox="none">
634 \begin_layout Plain Layout
642 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
645 \begin_layout Plain Layout
651 <cell alignment="center" valignment="top" usebox="none">
654 \begin_layout Plain Layout
660 <cell alignment="center" valignment="top" usebox="none">
663 \begin_layout Plain Layout
669 <cell alignment="center" valignment="top" usebox="none">
672 \begin_layout Plain Layout
678 <cell alignment="center" valignment="top" rightline="true" usebox="none">
681 \begin_layout Plain Layout
689 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
692 \begin_layout Plain Layout
698 <cell alignment="center" valignment="top" usebox="none">
701 \begin_layout Plain Layout
707 <cell alignment="center" valignment="top" usebox="none">
710 \begin_layout Plain Layout
716 <cell alignment="center" valignment="top" usebox="none">
719 \begin_layout Plain Layout
725 <cell alignment="center" valignment="top" rightline="true" usebox="none">
728 \begin_layout Plain Layout
736 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
739 \begin_layout Plain Layout
745 <cell alignment="center" valignment="top" usebox="none">
748 \begin_layout Plain Layout
754 <cell alignment="center" valignment="top" usebox="none">
757 \begin_layout Plain Layout
763 <cell alignment="center" valignment="top" usebox="none">
766 \begin_layout Plain Layout
772 <cell alignment="center" valignment="top" rightline="true" usebox="none">
775 \begin_layout Plain Layout
783 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
786 \begin_layout Plain Layout
792 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
795 \begin_layout Plain Layout
801 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
804 \begin_layout Plain Layout
810 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
813 \begin_layout Plain Layout
819 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
822 \begin_layout Plain Layout
839 \begin_inset space \hfill{}
850 \begin_layout Section
854 \begin_layout Standard
855 \begin_inset Float figure
861 \begin_layout Plain Layout
862 \begin_inset space \hfill{}
866 \begin_inset Flex Minipage (Var. Width)
869 \begin_layout Plain Layout
870 \begin_inset Argument 1
873 \begin_layout Plain Layout
880 \begin_inset Formula $\begin{aligned}M\Coloneqq x\mid\lambda xM\mid MN\end{aligned}
885 \begin_inset Newline newline
891 \begin_inset Formula $\alpha$
899 \begin_layout Plain Layout
900 \begin_inset Caption Standard
902 \begin_layout Plain Layout
914 \begin_inset space \hfill{}
918 \begin_inset space \hfill{}
922 \begin_inset Flex Minipage (Var. Width)
925 \begin_layout Plain Layout
926 \begin_inset Argument 1
929 \begin_layout Plain Layout
936 \begin_inset Formula $\begin{aligned}(\lambda xM)N & \rightarrow M[N/x]\\
937 \lambda x(Mx) & \rightarrow M
943 \begin_inset Caption Standard
945 \begin_layout Plain Layout
957 \begin_inset space \hfill{}