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1 #LyX 2.4 created this file. For more info see https://www.lyx.org/
2 \lyxformat 620
3 \begin_document
4 \begin_header
5 \save_transient_properties true
6 \origin /systemlyxdir/examples/Books/
7 \textclass amsbook
8 \use_default_options false
9 \begin_modules
10 theorems-ams
11 eqs-within-sections
12 figs-within-sections
13 theorems-ams-extended
14 \end_modules
15 \maintain_unincluded_children no
16 \begin_local_layout
17 ### Inserted by lyx2lyx (ams extended theorems) ###
18 ### This requires theorems-ams-extended module to be loaded
19 Style Acknowledgement
20   CopyStyle             Remark
21   LatexName             acknowledgement
22   LabelString           "Acknowledgement \thetheorem."
23   Preamble
24     \theoremstyle{remark}
25     \newtheorem{acknowledgement}[thm]{\protect\acknowledgementname}
26   EndPreamble
27   LangPreamble
28     \providecommand{\acknowledgementname}{_(Acknowledgement)}
29   EndLangPreamble
30   BabelPreamble
31     \addto\captions$$lang{\renewcommand{\acknowledgementname}{_(Acknowledgement)}}
32   EndBabelPreamble
33   DocBookTag            para
34   DocBookAttr           role="acknowledgement"
35   DocBookItemTag        ""
36 End
37 \end_local_layout
38 \language english
39 \language_package default
40 \inputencoding utf8
41 \fontencoding auto
42 \font_roman "lmodern" "default"
43 \font_sans "default" "default"
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66 \papersize default
67 \use_geometry false
68 \use_package amsmath 1
69 \use_package amssymb 1
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71 \use_package esint 1
72 \use_package mathdots 1
73 \use_package mathtools 1
74 \use_package mhchem 1
75 \use_package stackrel 1
76 \use_package stmaryrd 1
77 \use_package undertilde 1
78 \cite_engine basic
79 \cite_engine_type default
80 \biblio_style plain
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82 \use_indices false
83 \paperorientation portrait
84 \suppress_date false
85 \justification true
86 \use_refstyle 0
87 \use_minted 0
88 \use_lineno 0
89 \index Index
90 \shortcut idx
91 \color #008000
92 \end_index
93 \secnumdepth 3
94 \tocdepth 3
95 \paragraph_separation indent
96 \paragraph_indentation default
97 \is_math_indent 0
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99 \quotes_style english
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112 \docbook_table_output 0
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114 \end_header
115
116 \begin_body
117
118 \begin_layout Title
119 Test of AMS-Book Style
120 \end_layout
121
122 \begin_layout Author
123 David L.
124  Johnson
125 \end_layout
126
127 \begin_layout Address
128 Department of Mathematics,
129 \begin_inset ERT
130 status collapsed
131
132 \begin_layout Plain Layout
133
134
135 \backslash
136 newline 
137 \end_layout
138
139 \end_inset
140
141 Lehigh University,
142  Bethlehem,
143  PA 18015
144 \end_layout
145
146 \begin_layout Current Address
147 Home
148 \end_layout
149
150 \begin_layout Email
151 dlj0@lehigh.edu
152 \end_layout
153
154 \begin_layout URL
155 http://www.lehigh.edu/~dlj0/dlj0.html
156 \end_layout
157
158 \begin_layout Keywords
159 Test
160 \end_layout
161
162 \begin_layout Thanks
163 To Emmanuel,
164  for forcing me to fix this,
165  and Jean-Marc,
166  for making it possible,
167  and necessary.
168 \end_layout
169
170 \begin_layout Dedicatory
171 To my wife.
172 \end_layout
173
174 \begin_layout Translator
175 Joe
176 \end_layout
177
178 \begin_layout Subjectclass
179 Primary:
180  12G34,
181  Secondary:
182  09G87
183 \end_layout
184
185 \begin_layout Chapter
186 Beginning.
187 \end_layout
188
189 \begin_layout Section
190 Introduction
191 \end_layout
192
193 \begin_layout Standard
194 This file,
195  using the amsbook layout,
196  numbers all results,
197  Theorems,
198  Definitions,
199  etc.,
200  using 
201 \begin_inset Formula $(m.n.p)$
202 \end_inset
203
204  where the 
205 \begin_inset Formula $m$
206 \end_inset
207
208  is the chapter number,
209  the 
210 \begin_inset Formula $n$
211 \end_inset
212
213  is the section number,
214  and,
215  finally,
216  the 
217 \begin_inset Formula $p$
218 \end_inset
219
220  is the result number in that section.
221 \end_layout
222
223 \begin_layout Standard
224 This can be changed by modifying the layout file,
225  removing the line 
226 \family typewriter
227
228 \begin_inset Newline newline
229 \end_inset
230
231
232 \backslash
233 numberwithin{section}{chapter}
234 \family default
235  
236 \begin_inset Newline newline
237 \end_inset
238
239 from the 
240 \family typewriter
241 Preamble
242 \family default
243  .
244 \end_layout
245
246 \begin_layout Theorem
247 This is a theorem
248 \end_layout
249
250 \begin_layout Proof
251 Here is its proof.
252 \end_layout
253
254 \begin_layout Standard
255 More text.
256 \end_layout
257
258 \begin_layout Corollary
259 First corollary.
260 \end_layout
261
262 \begin_layout Proof
263 Its proof.
264 \end_layout
265
266 \begin_layout Lemma
267 Lemma number 1
268 \end_layout
269
270 \begin_layout Proposition
271 First proposition.
272 \end_layout
273
274 \begin_layout Conjecture
275 A wild guess.
276 \end_layout
277
278 \begin_layout Criterion
279 Need some criteria
280 \end_layout
281
282 \begin_layout Algorithm
283 first this,
284  then the next
285 \end_layout
286
287 \begin_layout Fact
288 Not fiction.
289 \end_layout
290
291 \begin_layout Axiom
292 It stands to reason.
293 \end_layout
294
295 \begin_layout Definition
296 a word means exactly what I say it means.
297 \end_layout
298
299 \begin_layout Example
300 This should be an example.
301 \end_layout
302
303 \begin_layout Standard
304 Plain text.
305 \end_layout
306
307 \begin_layout Condition
308 If you say so.
309 \end_layout
310
311 \begin_layout Problem
312 I don't know what to write is the problem.
313 \end_layout
314
315 \begin_layout Remark
316 I think this will be useful.
317 \end_layout
318
319 \begin_layout Claim
320 I did it the way the documentation said to.
321 \end_layout
322
323 \begin_layout Note
324 It may need more work yet.
325 \end_layout
326
327 \begin_layout Standard
328 More plain text,
329  in standard format.
330 \end_layout
331
332 \begin_layout Theorem
333 This is a second theorem
334 \end_layout
335
336 \begin_layout Proof
337 Here is its proof.
338 \end_layout
339
340 \begin_layout Standard
341 More text.
342 \end_layout
343
344 \begin_layout Corollary
345 Second corollary.
346 \end_layout
347
348 \begin_layout Proof
349 Its proof.
350 \end_layout
351
352 \begin_layout Lemma
353 Lemma number 2
354 \end_layout
355
356 \begin_layout Proposition
357 Second proposition.
358 \end_layout
359
360 \begin_layout Conjecture
361 A wild guess.
362 \end_layout
363
364 \begin_layout Criterion
365 Need some criteria
366 \end_layout
367
368 \begin_layout Notation
369 \begin_inset Formula $S=\mathbb{R}$
370 \end_inset
371
372 .
373 \end_layout
374
375 \begin_layout Summary
376 In the end,
377  will it matter?
378 \end_layout
379
380 \begin_layout Acknowledgement
381 Thanks to Mattias Ettrich.
382  Without him I never would have learned \SpecialChar LaTeX
383 .
384 \end_layout
385
386 \begin_layout Case
387 If this works,
388  then the rest will.
389 \end_layout
390
391 \begin_layout Conclusion
392 It seems to work.
393 \end_layout
394
395 \begin_layout Proof
396 Here goes another proof.
397 \end_layout
398
399 \begin_layout Standard
400 Plain text
401 \end_layout
402
403 \begin_layout Chapter Exercises
404 Exercise 1
405 \end_layout
406
407 \begin_layout Chapter Exercises
408 Exercise 2
409 \end_layout
410
411 \begin_layout Chapter Exercises
412 These should not be italicised!
413 \end_layout
414
415 \begin_layout Section
416 Next try.
417 \end_layout
418
419 \begin_layout Standard
420 This tries out the section environments.
421 \end_layout
422
423 \begin_layout Theorem
424 This is a theorem
425 \end_layout
426
427 \begin_layout Proof
428 Here is its proof.
429 \end_layout
430
431 \begin_layout Standard
432 More text.
433 \end_layout
434
435 \begin_layout Corollary
436 Third corollary.
437  First one of this section.
438 \end_layout
439
440 \begin_layout Proof
441 Its proof.
442 \end_layout
443
444 \begin_layout Lemma
445 Lemma number 3
446 \end_layout
447
448 \begin_layout Proposition
449 Third proposition.
450 \end_layout
451
452 \begin_layout Conjecture
453 A wild guess.
454 \end_layout
455
456 \begin_layout Criterion
457 Need some criteria
458 \end_layout
459
460 \begin_layout Subsection
461 This is a subsection
462 \end_layout
463
464 \begin_layout Standard
465 With more results therein.
466 \end_layout
467
468 \begin_layout Theorem
469 This is a theorem,
470  maybe the fourth one.
471 \end_layout
472
473 \begin_layout Proof
474 Here is its proof.
475 \end_layout
476
477 \begin_layout Standard
478 More text.
479 \end_layout
480
481 \begin_layout Chapter
482 Next one.
483 \end_layout
484
485 \begin_layout Section
486 Next Section
487 \end_layout
488
489 \begin_layout Corollary
490 Fourth corollary.
491 \end_layout
492
493 \begin_layout Proof
494 Its proof.
495 \end_layout
496
497 \begin_layout Lemma
498 Lemma number 4
499 \end_layout
500
501 \begin_layout Proposition
502 Fourth proposition.
503 \end_layout
504
505 \begin_layout Conjecture
506 A wild guess.
507 \end_layout
508
509 \begin_layout Criterion
510 Need some criteria
511 \end_layout
512
513 \begin_layout Standard
514 More random text.
515 \end_layout
516
517 \begin_layout Section
518 Another section
519 \end_layout
520
521 \begin_layout Theorem
522 This is a theorem
523 \end_layout
524
525 \begin_layout Proof
526 Here is its proof.
527 \end_layout
528
529 \begin_layout Standard
530 More text.
531 \end_layout
532
533 \begin_layout Corollary
534 Fifth corollary.
535 \end_layout
536
537 \begin_layout Proof
538 Its proof.
539 \end_layout
540
541 \begin_layout Lemma
542 Lemma number 5
543 \end_layout
544
545 \begin_layout Proposition
546 Fifth proposition.
547 \end_layout
548
549 \begin_layout Conjecture
550 A wild guess.
551 \end_layout
552
553 \begin_layout Criterion
554 Need some criteria
555 \end_layout
556
557 \begin_layout Subsubsection
558 This is the subsection with results.
559 \end_layout
560
561 \begin_layout Standard
562 The quick,
563  brown fox jumped over the lazy dog.
564 \end_layout
565
566 \begin_layout Theorem
567 This is a theorem - sixth in the series
568 \end_layout
569
570 \begin_layout Proof
571 Here is its proof.
572 \end_layout
573
574 \begin_layout Standard
575 More text.
576 \end_layout
577
578 \begin_layout Corollary
579 Sixth corollary.
580 \end_layout
581
582 \begin_layout Proof
583 Its proof.
584 \end_layout
585
586 \begin_layout Lemma
587 Lemma number 6
588 \end_layout
589
590 \begin_layout Proposition
591 Sixth proposition.
592 \end_layout
593
594 \begin_layout Conjecture
595 A wild guess.
596 \end_layout
597
598 \begin_layout Criterion
599 Need some criteria
600 \end_layout
601
602 \begin_layout Bibliography
603 \begin_inset CommandInset bibitem
604 LatexCommand bibitem
605 key "1"
606 literal "true"
607
608 \end_inset
609
610 Johnson,
611  D.
612  L.
613  
614 \emph on
615 Out of my head
616 \end_layout
617
618 \begin_layout Bibliography
619 \begin_inset CommandInset bibitem
620 LatexCommand bibitem
621 key "2"
622 literal "true"
623
624 \end_inset
625
626 American Mathematical Society,
627  
628 \emph on
629 Instructions for preparation of papers and monographs:
630  AMS-\SpecialChar LaTeX
631
632 \emph default
633 ,
634  (1997).
635 \end_layout
636
637 \begin_layout Bibliography
638 \begin_inset CommandInset bibitem
639 LatexCommand bibitem
640 key "3"
641 literal "true"
642
643 \end_inset
644
645 American Mathematical Society,
646  
647 \end_layout
648
649 \begin_layout Standard
650
651 \end_layout
652
653 \end_body
654 \end_document