1 #LyX 2.3 created this file. For more info see http://www.lyx.org/
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42 \use_package amsmath 1
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57 \paperorientation portrait
68 \paragraph_separation indent
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77 \tracking_changes false
87 Test of AMS-Book Style
96 Department of Mathematics,
100 \begin_layout Plain Layout
109 Lehigh University, Bethlehem, PA 18015
112 \begin_layout Current Address
121 http://www.lehigh.edu/~dlj0/dlj0.html
124 \begin_layout Keywords
129 To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
133 \begin_layout Dedicatory
137 \begin_layout Translator
141 \begin_layout Subjectclass
142 Primary: 12G34, Secondary: 09G87
145 \begin_layout Chapter
149 \begin_layout Section
153 \begin_layout Standard
154 This file, using the amsbook layout, numbers all results, Theorems, Definitions,
156 \begin_inset Formula $(m.n.p)$
160 \begin_inset Formula $m$
163 is the chapter number, the
164 \begin_inset Formula $n$
167 is the section number, and, finally, the
168 \begin_inset Formula $p$
171 is the result number in that section.
174 \begin_layout Standard
175 This can be changed by modifying the layout file, removing the line
178 \begin_inset Newline newline
183 numberwithin{section}{chapter}
186 \begin_inset Newline newline
196 \begin_layout Theorem
204 \begin_layout Standard
208 \begin_layout Corollary
220 \begin_layout Proposition
224 \begin_layout Conjecture
228 \begin_layout Criterion
232 \begin_layout Algorithm
233 first this, then the next
244 \begin_layout Definition
245 a word means exactly what I say it means.
248 \begin_layout Example
249 This should be an example.
252 \begin_layout Standard
256 \begin_layout Condition
260 \begin_layout Problem
261 I don't know what to write is the problem.
265 I think this will be useful.
269 I did it the way the documentation said to.
273 It may need more work yet.
276 \begin_layout Standard
277 More plain text, in standard format.
280 \begin_layout Theorem
281 This is a second theorem
288 \begin_layout Standard
292 \begin_layout Corollary
304 \begin_layout Proposition
308 \begin_layout Conjecture
312 \begin_layout Criterion
316 \begin_layout Notation
317 \begin_inset Formula $S=\mathbb{R}$
323 \begin_layout Summary
324 In the end, will it matter?
327 \begin_layout Acknowledgement
328 Thanks to Mattias Ettrich.
329 Without him I never would have learned \SpecialChar LaTeX
334 If this works, then the rest will.
337 \begin_layout Conclusion
342 Here goes another proof.
345 \begin_layout Standard
349 \begin_layout Chapter Exercises
353 \begin_layout Chapter Exercises
357 \begin_layout Chapter Exercises
358 These should not be italicised!
361 \begin_layout Section
365 \begin_layout Standard
366 This tries out the section environments.
369 \begin_layout Theorem
377 \begin_layout Standard
381 \begin_layout Corollary
383 First one of this section.
394 \begin_layout Proposition
398 \begin_layout Conjecture
402 \begin_layout Criterion
406 \begin_layout Subsection
410 \begin_layout Standard
411 With more results therein.
414 \begin_layout Theorem
415 This is a theorem, maybe the fourth one.
422 \begin_layout Standard
426 \begin_layout Chapter
430 \begin_layout Section
434 \begin_layout Corollary
446 \begin_layout Proposition
450 \begin_layout Conjecture
454 \begin_layout Criterion
458 \begin_layout Standard
462 \begin_layout Section
466 \begin_layout Theorem
474 \begin_layout Standard
478 \begin_layout Corollary
490 \begin_layout Proposition
494 \begin_layout Conjecture
498 \begin_layout Criterion
502 \begin_layout Subsubsection
503 This is the subsection with results.
506 \begin_layout Standard
507 The quick, brown fox jumped over the lazy dog.
510 \begin_layout Theorem
511 This is a theorem - sixth in the series
518 \begin_layout Standard
522 \begin_layout Corollary
534 \begin_layout Proposition
538 \begin_layout Conjecture
542 \begin_layout Criterion
546 \begin_layout Bibliography
547 \begin_inset CommandInset bibitem
561 \begin_layout Bibliography
562 \begin_inset CommandInset bibitem
569 American Mathematical Society,
571 Instructions for preparation of papers and monographs: AMS-\SpecialChar LaTeX
577 \begin_layout Bibliography
578 \begin_inset CommandInset bibitem
585 American Mathematical Society,
588 \begin_layout Standard