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1 #LyX 2.2 created this file. For more info see http://www.lyx.org/
2 \lyxformat 491
3 \begin_document
4 \begin_header
5 \origin roundtrip
6 \textclass book
7 \begin_preamble
8 \usepackage{babel}
9 \end_preamble
10 \use_default_options false
11 \begin_modules
12 theorems-ams
13 \end_modules
14 \maintain_unincluded_children false
15 \language english
16 \language_package default
17 \inputencoding iso8859-15
18 \fontencoding T1
19 \font_roman default
20 \font_sans default
21 \font_typewriter default
22 \font_math auto
23 \font_default_family default
24 \use_non_tex_fonts false
25 \font_sc false
26 \font_osf false
27 \font_sf_scale 100
28 \font_tt_scale 100
29 \graphics default
30 \default_output_format default
31 \output_sync 0
32 \bibtex_command default
33 \index_command default
34 \paperfontsize default
35 \spacing single
36 \use_hyperref false
37 \papersize default
38 \use_geometry false
39 \use_package amsmath 1
40 \use_package amssymb 0
41 \use_package cancel 0
42 \use_package esint 1
43 \use_package mathdots 0
44 \use_package mathtools 0
45 \use_package mhchem 0
46 \use_package stackrel 0
47 \use_package stmaryrd 0
48 \use_package undertilde 0
49 \cite_engine basic
50 \cite_engine_type default
51 \biblio_style plain
52 \use_bibtopic false
53 \use_indices false
54 \paperorientation portrait
55 \suppress_date false
56 \justification true
57 \use_refstyle 1
58 \index Index
59 \shortcut idx
60 \color #008000
61 \end_index
62 \secnumdepth 3
63 \tocdepth 3
64 \paragraph_separation indent
65 \paragraph_indentation default
66 \quotes_language english
67 \papercolumns 1
68 \papersides 2
69 \paperpagestyle default
70 \tracking_changes false
71 \output_changes false
72 \html_math_output 0
73 \html_css_as_file 0
74 \html_be_strict false
75 \end_header
76
77 \begin_body
78
79 \begin_layout Part
80 part
81 \begin_inset CommandInset label
82 LatexCommand label
83 name "part:part"
84
85 \end_inset
86
87
88 \end_layout
89
90 \begin_layout Standard
91 \begin_inset CommandInset ref
92 LatexCommand formatted
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94
95 \end_inset
96
97
98 \end_layout
99
100 \begin_layout Chapter
101 chapter
102 \begin_inset CommandInset label
103 LatexCommand label
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105
106 \end_inset
107
108
109 \end_layout
110
111 \begin_layout Standard
112 \begin_inset CommandInset ref
113 LatexCommand formatted
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115
116 \end_inset
117
118
119 \end_layout
120
121 \begin_layout Section
122 Section
123 \begin_inset CommandInset label
124 LatexCommand label
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126
127 \end_inset
128
129
130 \end_layout
131
132 \begin_layout Standard
133 \begin_inset CommandInset ref
134 LatexCommand formatted
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136
137 \end_inset
138
139
140 \end_layout
141
142 \begin_layout Subsection
143 Subsection
144 \begin_inset CommandInset label
145 LatexCommand label
146 name "sub:subsection"
147
148 \end_inset
149
150
151 \end_layout
152
153 \begin_layout Standard
154 Ref to 
155 \begin_inset CommandInset ref
156 LatexCommand formatted
157 reference "sub:subsection"
158
159 \end_inset
160
161 .
162 \end_layout
163
164 \begin_layout Subsubsection
165 Subsubsection
166 \begin_inset CommandInset label
167 LatexCommand label
168 name "sub:Subsubsection"
169
170 \end_inset
171
172
173 \end_layout
174
175 \begin_layout Standard
176 Ref to 
177 \begin_inset CommandInset ref
178 LatexCommand formatted
179 reference "sub:Subsubsection"
180
181 \end_inset
182
183 .
184 \end_layout
185
186 \begin_layout Paragraph
187 paragraph
188 \begin_inset CommandInset label
189 LatexCommand label
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191
192 \end_inset
193
194
195 \end_layout
196
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198 \begin_inset CommandInset ref
199 LatexCommand formatted
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201
202 \end_inset
203
204
205 \end_layout
206
207 \begin_layout Subparagraph
208 subparagraph
209 \begin_inset CommandInset label
210 LatexCommand label
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212
213 \end_inset
214
215
216 \end_layout
217
218 \begin_layout Standard
219 \begin_inset CommandInset ref
220 LatexCommand formatted
221 reference "par:subparagraph"
222
223 \end_inset
224
225
226 \end_layout
227
228 \begin_layout Standard
229 \begin_inset Float figure
230 wide false
231 sideways false
232 status open
233
234 \begin_layout Plain Layout
235 \begin_inset ERT
236 status collapsed
237
238 \begin_layout Plain Layout
239
240
241 \backslash
242 protect
243 \end_layout
244
245 \end_inset
246
247
248 \begin_inset Caption Standard
249
250 \begin_layout Plain Layout
251 figure
252 \begin_inset CommandInset label
253 LatexCommand label
254 name "fig:figure"
255
256 \end_inset
257
258
259 \end_layout
260
261 \end_inset
262
263
264 \end_layout
265
266 \end_inset
267
268
269 \end_layout
270
271 \begin_layout Standard
272 \begin_inset CommandInset ref
273 LatexCommand formatted
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275
276 \end_inset
277
278
279 \end_layout
280
281 \begin_layout Standard
282 \begin_inset Float table
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285 status open
286
287 \begin_layout Plain Layout
288 \begin_inset ERT
289 status collapsed
290
291 \begin_layout Plain Layout
292
293
294 \backslash
295 protect
296 \end_layout
297
298 \end_inset
299
300
301 \begin_inset Caption Standard
302
303 \begin_layout Plain Layout
304 table
305 \begin_inset CommandInset label
306 LatexCommand label
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308
309 \end_inset
310
311
312 \end_layout
313
314 \end_inset
315
316
317 \end_layout
318
319 \end_inset
320
321
322 \end_layout
323
324 \begin_layout Standard
325 \begin_inset CommandInset ref
326 LatexCommand formatted
327 reference "tab:table"
328
329 \end_inset
330
331
332 \end_layout
333
334 \begin_layout Standard
335 \begin_inset Float algorithm
336 wide false
337 sideways false
338 status open
339
340 \begin_layout Plain Layout
341 \begin_inset ERT
342 status collapsed
343
344 \begin_layout Plain Layout
345
346
347 \backslash
348 protect
349 \end_layout
350
351 \end_inset
352
353
354 \begin_inset Caption Standard
355
356 \begin_layout Plain Layout
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361
362 \end_inset
363
364
365 \end_layout
366
367 \end_inset
368
369
370 \end_layout
371
372 \end_inset
373
374
375 \end_layout
376
377 \begin_layout Standard
378 \begin_inset CommandInset ref
379 LatexCommand formatted
380 reference "alg:algorithm"
381
382 \end_inset
383
384
385 \end_layout
386
387 \begin_layout Standard
388 \begin_inset Foot
389 status collapsed
390
391 \begin_layout Plain Layout
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394 LatexCommand label
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396
397 \end_inset
398
399
400 \end_layout
401
402 \end_inset
403
404
405 \end_layout
406
407 \begin_layout Standard
408 \begin_inset CommandInset ref
409 LatexCommand formatted
410 reference "fn:foot"
411
412 \end_inset
413
414
415 \end_layout
416
417 \begin_layout Standard
418 \begin_inset Marginal
419 status collapsed
420
421 \begin_layout Plain Layout
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423 \begin_inset CommandInset label
424 LatexCommand label
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427 \end_inset
428
429
430 \end_layout
431
432 \end_inset
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434
435 \end_layout
436
437 \begin_layout Standard
438 \begin_inset CommandInset ref
439 LatexCommand ref
440 reference "margin"
441
442 \end_inset
443
444  
445 \end_layout
446
447 \begin_layout Enumerate
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449 \begin_inset CommandInset label
450 LatexCommand label
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452
453 \end_inset
454
455  
456 \end_layout
457
458 \begin_layout Standard
459 \begin_inset CommandInset ref
460 LatexCommand formatted
461 reference "enu:item"
462
463 \end_inset
464
465
466 \end_layout
467
468 \begin_layout Standard
469 \begin_inset Formula 
470 \begin{equation}
471 A=B\label{eq:A=00003DB}
472 \end{equation}
473
474 \end_inset
475
476
477 \end_layout
478
479 \begin_layout Standard
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481 LatexCommand formatted
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483
484 \end_inset
485
486  
487 \end_layout
488
489 \begin_layout Lemma
490 lemma
491 \begin_inset CommandInset label
492 LatexCommand label
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494
495 \end_inset
496
497
498 \end_layout
499
500 \begin_layout Lemma
501 \begin_inset CommandInset ref
502 LatexCommand formatted
503 reference "lem:lemma"
504
505 \end_inset
506
507
508 \end_layout
509
510 \begin_layout Theorem
511 theorem
512 \begin_inset CommandInset label
513 LatexCommand label
514 name "thm:theorem"
515
516 \end_inset
517
518
519 \end_layout
520
521 \begin_layout Theorem
522 \begin_inset CommandInset ref
523 LatexCommand formatted
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525
526 \end_inset
527
528
529 \end_layout
530
531 \begin_layout Corollary
532 corollary
533 \begin_inset CommandInset label
534 LatexCommand label
535 name "cor:corollary"
536
537 \end_inset
538
539
540 \end_layout
541
542 \begin_layout Corollary
543 \begin_inset CommandInset ref
544 LatexCommand formatted
545 reference "cor:corollary"
546
547 \end_inset
548
549
550 \end_layout
551
552 \begin_layout Proposition
553 proposition
554 \begin_inset CommandInset label
555 LatexCommand label
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557
558 \end_inset
559
560
561 \end_layout
562
563 \begin_layout Proposition
564 \begin_inset CommandInset ref
565 LatexCommand formatted
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567
568 \end_inset
569
570
571 \end_layout
572
573 \begin_layout Conjecture
574 conjecture
575 \begin_inset CommandInset label
576 LatexCommand label
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578
579 \end_inset
580
581
582 \end_layout
583
584 \begin_layout Conjecture
585 \begin_inset CommandInset ref
586 LatexCommand ref
587 reference "conjecture"
588
589 \end_inset
590
591
592 \end_layout
593
594 \begin_layout Fact
595 fact
596 \begin_inset CommandInset label
597 LatexCommand label
598 name "fact"
599
600 \end_inset
601
602
603 \end_layout
604
605 \begin_layout Fact
606 \begin_inset CommandInset ref
607 LatexCommand ref
608 reference "fact"
609
610 \end_inset
611
612
613 \end_layout
614
615 \begin_layout Definition
616 definition
617 \begin_inset CommandInset label
618 LatexCommand label
619 name "definition"
620
621 \end_inset
622
623
624 \end_layout
625
626 \begin_layout Definition
627 \begin_inset CommandInset ref
628 LatexCommand ref
629 reference "definition"
630
631 \end_inset
632
633
634 \end_layout
635
636 \begin_layout Example
637 example
638 \begin_inset CommandInset label
639 LatexCommand label
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641
642 \end_inset
643
644
645 \end_layout
646
647 \begin_layout Example
648 \begin_inset CommandInset ref
649 LatexCommand ref
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651
652 \end_inset
653
654
655 \end_layout
656
657 \begin_layout Problem
658 problem
659 \begin_inset CommandInset label
660 LatexCommand label
661 name "problem"
662
663 \end_inset
664
665
666 \end_layout
667
668 \begin_layout Problem
669 \begin_inset CommandInset ref
670 LatexCommand ref
671 reference "problem"
672
673 \end_inset
674
675
676 \end_layout
677
678 \begin_layout Exercise
679 exercise
680 \begin_inset CommandInset label
681 LatexCommand label
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683
684 \end_inset
685
686
687 \end_layout
688
689 \begin_layout Exercise
690 \begin_inset CommandInset ref
691 LatexCommand ref
692 reference "exercise"
693
694 \end_inset
695
696
697 \end_layout
698
699 \begin_layout Remark
700 remark
701 \begin_inset CommandInset label
702 LatexCommand label
703 name "remark"
704
705 \end_inset
706
707
708 \end_layout
709
710 \begin_layout Remark
711 \begin_inset CommandInset ref
712 LatexCommand ref
713 reference "remark"
714
715 \end_inset
716
717
718 \end_layout
719
720 \begin_layout Claim
721 claim
722 \begin_inset CommandInset label
723 LatexCommand label
724 name "claim"
725
726 \end_inset
727
728
729 \end_layout
730
731 \begin_layout Claim
732 \begin_inset CommandInset ref
733 LatexCommand ref
734 reference "claim"
735
736 \end_inset
737
738
739 \end_layout
740
741 \begin_layout Proof
742 proof
743 \begin_inset CommandInset label
744 LatexCommand label
745 name "proof"
746
747 \end_inset
748
749
750 \end_layout
751
752 \begin_layout Proof
753 \begin_inset CommandInset ref
754 LatexCommand ref
755 reference "proof"
756
757 \end_inset
758
759
760 \end_layout
761
762 \end_body
763 \end_document