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1 #LyX file created by tex2lyx 2.2
2 \lyxformat 479
3 \begin_document
4 \begin_header
5 \textclass book
6 \begin_preamble
7 \usepackage{babel}
8
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
92 \begin_inset CommandInset ref
93 LatexCommand formatted
94 reference "part:part"
95
96 \end_inset
97
98
99 \end_layout
100
101 \begin_layout Chapter
102 chapter
103 \begin_inset CommandInset label
104 LatexCommand label
105 name "chap:chapter"
106
107 \end_inset
108
109
110 \end_layout
111
112 \begin_layout Standard
113
114 \begin_inset CommandInset ref
115 LatexCommand formatted
116 reference "chap:chapter"
117
118 \end_inset
119
120
121 \end_layout
122
123 \begin_layout Section
124 Section
125 \begin_inset CommandInset label
126 LatexCommand label
127 name "sec:Section"
128
129 \end_inset
130
131
132 \end_layout
133
134 \begin_layout Standard
135
136 \begin_inset CommandInset ref
137 LatexCommand formatted
138 reference "sec:Section"
139
140 \end_inset
141
142
143 \end_layout
144
145 \begin_layout Subsection
146 Subsection
147 \begin_inset CommandInset label
148 LatexCommand label
149 name "sub:subsection"
150
151 \end_inset
152
153
154 \end_layout
155
156 \begin_layout Standard
157 Ref to 
158 \begin_inset CommandInset ref
159 LatexCommand formatted
160 reference "sub:subsection"
161
162 \end_inset
163
164 .
165 \end_layout
166
167 \begin_layout Subsubsection
168 Subsubsection
169 \begin_inset CommandInset label
170 LatexCommand label
171 name "sub:Subsubsection"
172
173 \end_inset
174
175
176 \end_layout
177
178 \begin_layout Standard
179 Ref to 
180 \begin_inset CommandInset ref
181 LatexCommand formatted
182 reference "sub:Subsubsection"
183
184 \end_inset
185
186 .
187 \end_layout
188
189 \begin_layout Paragraph
190 paragraph
191 \begin_inset CommandInset label
192 LatexCommand label
193 name "par:paragraph"
194
195 \end_inset
196
197
198 \end_layout
199
200 \begin_layout Standard
201
202 \begin_inset CommandInset ref
203 LatexCommand formatted
204 reference "par:paragraph"
205
206 \end_inset
207
208
209 \end_layout
210
211 \begin_layout Subparagraph
212 subparagraph
213 \begin_inset CommandInset label
214 LatexCommand label
215 name "par:subparagraph"
216
217 \end_inset
218
219
220 \end_layout
221
222 \begin_layout Standard
223
224 \begin_inset CommandInset ref
225 LatexCommand formatted
226 reference "par:subparagraph"
227
228 \end_inset
229
230
231 \end_layout
232
233 \begin_layout Standard
234
235 \begin_inset Float figure
236 wide false
237 sideways false
238 status open
239
240
241 \begin_layout Standard
242
243 \begin_inset ERT
244 status collapsed
245
246 \begin_layout Plain Layout
247
248 \backslash
249 protect
250 \end_layout
251
252 \end_inset
253
254
255 \begin_inset Caption Standard
256 status collapsed
257
258 \begin_layout Standard
259 figure
260 \begin_inset CommandInset label
261 LatexCommand label
262 name "fig:figure"
263
264 \end_inset
265
266
267 \end_layout
268
269 \end_inset
270
271
272 \end_layout
273
274 \end_inset
275
276
277 \end_layout
278
279 \begin_layout Standard
280
281 \begin_inset CommandInset ref
282 LatexCommand formatted
283 reference "fig:figure"
284
285 \end_inset
286
287
288 \end_layout
289
290 \begin_layout Standard
291
292 \begin_inset Float table
293 wide false
294 sideways false
295 status open
296
297
298 \begin_layout Standard
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300 \begin_inset ERT
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302
303 \begin_layout Plain Layout
304
305 \backslash
306 protect
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308
309 \end_inset
310
311
312 \begin_inset Caption Standard
313 status collapsed
314
315 \begin_layout Standard
316 table
317 \begin_inset CommandInset label
318 LatexCommand label
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320
321 \end_inset
322
323
324 \end_layout
325
326 \end_inset
327
328
329 \end_layout
330
331 \end_inset
332
333
334 \end_layout
335
336 \begin_layout Standard
337
338 \begin_inset CommandInset ref
339 LatexCommand formatted
340 reference "tab:table"
341
342 \end_inset
343
344
345 \end_layout
346
347 \begin_layout Standard
348
349 \begin_inset Float algorithm
350 wide false
351 sideways false
352 status open
353
354
355 \begin_layout Standard
356
357 \begin_inset ERT
358 status collapsed
359
360 \begin_layout Plain Layout
361
362 \backslash
363 protect
364 \end_layout
365
366 \end_inset
367
368
369 \begin_inset Caption Standard
370 status collapsed
371
372 \begin_layout Standard
373 algorithm
374 \begin_inset CommandInset label
375 LatexCommand label
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377
378 \end_inset
379
380
381 \end_layout
382
383 \end_inset
384
385
386 \end_layout
387
388 \end_inset
389
390
391 \end_layout
392
393 \begin_layout Standard
394
395 \begin_inset CommandInset ref
396 LatexCommand formatted
397 reference "alg:algorithm"
398
399 \end_inset
400
401
402 \end_layout
403
404 \begin_layout Standard
405
406 \begin_inset Foot
407 status collapsed
408
409
410 \begin_layout Standard
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412 \begin_inset CommandInset label
413 LatexCommand label
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415
416 \end_inset
417
418
419 \end_layout
420
421 \end_inset
422
423
424 \end_layout
425
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427
428 \begin_inset CommandInset ref
429 LatexCommand formatted
430 reference "fn:foot"
431
432 \end_inset
433
434
435 \end_layout
436
437 \begin_layout Standard
438
439 \begin_inset Marginal
440 status collapsed
441
442
443 \begin_layout Standard
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445 \begin_inset CommandInset label
446 LatexCommand label
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448
449 \end_inset
450
451
452 \end_layout
453
454 \end_inset
455
456
457 \end_layout
458
459 \begin_layout Standard
460
461 \begin_inset CommandInset ref
462 LatexCommand ref
463 reference "margin"
464
465 \end_inset
466
467  
468 \end_layout
469
470 \begin_layout Enumerate
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473 LatexCommand label
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476 \end_inset
477
478  
479 \end_layout
480
481 \begin_layout Standard
482
483 \begin_inset CommandInset ref
484 LatexCommand formatted
485 reference "enu:item"
486
487 \end_inset
488
489
490 \end_layout
491
492 \begin_layout Standard
493
494 \begin_inset Formula \begin{equation}
495 A=B\label{eq:A=00003DB}
496 \end{equation}
497 \end_inset
498
499
500 \end_layout
501
502 \begin_layout Standard
503
504 \begin_inset CommandInset ref
505 LatexCommand formatted
506 reference "eq:A=00003DB"
507
508 \end_inset
509
510  
511 \end_layout
512
513 \begin_layout Lemma
514 lemma
515 \begin_inset CommandInset label
516 LatexCommand label
517 name "lem:lemma"
518
519 \end_inset
520
521
522 \end_layout
523
524 \begin_layout Lemma
525
526 \begin_inset CommandInset ref
527 LatexCommand formatted
528 reference "lem:lemma"
529
530 \end_inset
531
532
533 \end_layout
534
535 \begin_layout Theorem
536 theorem
537 \begin_inset CommandInset label
538 LatexCommand label
539 name "thm:theorem"
540
541 \end_inset
542
543
544 \end_layout
545
546 \begin_layout Theorem
547
548 \begin_inset CommandInset ref
549 LatexCommand formatted
550 reference "thm:theorem"
551
552 \end_inset
553
554
555 \end_layout
556
557 \begin_layout Corollary
558 corollary
559 \begin_inset CommandInset label
560 LatexCommand label
561 name "cor:corollary"
562
563 \end_inset
564
565
566 \end_layout
567
568 \begin_layout Corollary
569
570 \begin_inset CommandInset ref
571 LatexCommand formatted
572 reference "cor:corollary"
573
574 \end_inset
575
576
577 \end_layout
578
579 \begin_layout Proposition
580 proposition
581 \begin_inset CommandInset label
582 LatexCommand label
583 name "prop:proposition"
584
585 \end_inset
586
587
588 \end_layout
589
590 \begin_layout Proposition
591
592 \begin_inset CommandInset ref
593 LatexCommand formatted
594 reference "prop:proposition"
595
596 \end_inset
597
598
599 \end_layout
600
601 \begin_layout Conjecture
602 conjecture
603 \begin_inset CommandInset label
604 LatexCommand label
605 name "conjecture"
606
607 \end_inset
608
609
610 \end_layout
611
612 \begin_layout Conjecture
613
614 \begin_inset CommandInset ref
615 LatexCommand ref
616 reference "conjecture"
617
618 \end_inset
619
620
621 \end_layout
622
623 \begin_layout Fact
624 fact
625 \begin_inset CommandInset label
626 LatexCommand label
627 name "fact"
628
629 \end_inset
630
631
632 \end_layout
633
634 \begin_layout Fact
635
636 \begin_inset CommandInset ref
637 LatexCommand ref
638 reference "fact"
639
640 \end_inset
641
642
643 \end_layout
644
645 \begin_layout Definition
646 definition
647 \begin_inset CommandInset label
648 LatexCommand label
649 name "definition"
650
651 \end_inset
652
653
654 \end_layout
655
656 \begin_layout Definition
657
658 \begin_inset CommandInset ref
659 LatexCommand ref
660 reference "definition"
661
662 \end_inset
663
664
665 \end_layout
666
667 \begin_layout Example
668 example
669 \begin_inset CommandInset label
670 LatexCommand label
671 name "example"
672
673 \end_inset
674
675
676 \end_layout
677
678 \begin_layout Example
679
680 \begin_inset CommandInset ref
681 LatexCommand ref
682 reference "example"
683
684 \end_inset
685
686
687 \end_layout
688
689 \begin_layout Problem
690 problem
691 \begin_inset CommandInset label
692 LatexCommand label
693 name "problem"
694
695 \end_inset
696
697
698 \end_layout
699
700 \begin_layout Problem
701
702 \begin_inset CommandInset ref
703 LatexCommand ref
704 reference "problem"
705
706 \end_inset
707
708
709 \end_layout
710
711 \begin_layout Exercise
712 exercise
713 \begin_inset CommandInset label
714 LatexCommand label
715 name "exercise"
716
717 \end_inset
718
719
720 \end_layout
721
722 \begin_layout Exercise
723
724 \begin_inset CommandInset ref
725 LatexCommand ref
726 reference "exercise"
727
728 \end_inset
729
730
731 \end_layout
732
733 \begin_layout Remark
734 remark
735 \begin_inset CommandInset label
736 LatexCommand label
737 name "remark"
738
739 \end_inset
740
741
742 \end_layout
743
744 \begin_layout Remark
745
746 \begin_inset CommandInset ref
747 LatexCommand ref
748 reference "remark"
749
750 \end_inset
751
752
753 \end_layout
754
755 \begin_layout Claim
756 claim
757 \begin_inset CommandInset label
758 LatexCommand label
759 name "claim"
760
761 \end_inset
762
763
764 \end_layout
765
766 \begin_layout Claim
767
768 \begin_inset CommandInset ref
769 LatexCommand ref
770 reference "claim"
771
772 \end_inset
773
774
775 \end_layout
776
777 \begin_layout Proof
778 proof
779 \begin_inset CommandInset label
780 LatexCommand label
781 name "proof"
782
783 \end_inset
784
785
786 \end_layout
787
788 \begin_layout Proof
789
790 \begin_inset CommandInset ref
791 LatexCommand ref
792 reference "proof"
793
794 \end_inset
795
796
797 \end_layout
798
799 \end_body
800 \end_document