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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
257 \begin_layout Standard
258 figure
259 \begin_inset CommandInset label
260 LatexCommand label
261 name "fig:figure"
262
263 \end_inset
264
265
266 \end_layout
267
268 \end_inset
269
270
271 \end_layout
272
273 \end_inset
274
275
276 \end_layout
277
278 \begin_layout Standard
279
280 \begin_inset CommandInset ref
281 LatexCommand formatted
282 reference "fig:figure"
283
284 \end_inset
285
286
287 \end_layout
288
289 \begin_layout Standard
290
291 \begin_inset Float table
292 wide false
293 sideways false
294 status open
295
296
297 \begin_layout Standard
298
299 \begin_inset ERT
300 status collapsed
301
302 \begin_layout Plain Layout
303
304 \backslash
305 protect
306 \end_layout
307
308 \end_inset
309
310
311 \begin_inset Caption Standard
312
313 \begin_layout Standard
314 table
315 \begin_inset CommandInset label
316 LatexCommand label
317 name "tab:table"
318
319 \end_inset
320
321
322 \end_layout
323
324 \end_inset
325
326
327 \end_layout
328
329 \end_inset
330
331
332 \end_layout
333
334 \begin_layout Standard
335
336 \begin_inset CommandInset ref
337 LatexCommand formatted
338 reference "tab:table"
339
340 \end_inset
341
342
343 \end_layout
344
345 \begin_layout Standard
346
347 \begin_inset Float algorithm
348 wide false
349 sideways false
350 status open
351
352
353 \begin_layout Standard
354
355 \begin_inset ERT
356 status collapsed
357
358 \begin_layout Plain Layout
359
360 \backslash
361 protect
362 \end_layout
363
364 \end_inset
365
366
367 \begin_inset Caption Standard
368
369 \begin_layout Standard
370 algorithm
371 \begin_inset CommandInset label
372 LatexCommand label
373 name "alg:algorithm"
374
375 \end_inset
376
377
378 \end_layout
379
380 \end_inset
381
382
383 \end_layout
384
385 \end_inset
386
387
388 \end_layout
389
390 \begin_layout Standard
391
392 \begin_inset CommandInset ref
393 LatexCommand formatted
394 reference "alg:algorithm"
395
396 \end_inset
397
398
399 \end_layout
400
401 \begin_layout Standard
402
403 \begin_inset Foot
404 status collapsed
405
406
407 \begin_layout Standard
408 foot
409 \begin_inset CommandInset label
410 LatexCommand label
411 name "fn:foot"
412
413 \end_inset
414
415
416 \end_layout
417
418 \end_inset
419
420
421 \end_layout
422
423 \begin_layout Standard
424
425 \begin_inset CommandInset ref
426 LatexCommand formatted
427 reference "fn:foot"
428
429 \end_inset
430
431
432 \end_layout
433
434 \begin_layout Standard
435
436 \begin_inset Marginal
437 status collapsed
438
439
440 \begin_layout Standard
441 margin
442 \begin_inset CommandInset label
443 LatexCommand label
444 name "margin"
445
446 \end_inset
447
448
449 \end_layout
450
451 \end_inset
452
453
454 \end_layout
455
456 \begin_layout Standard
457
458 \begin_inset CommandInset ref
459 LatexCommand ref
460 reference "margin"
461
462 \end_inset
463
464  
465 \end_layout
466
467 \begin_layout Enumerate
468 item
469 \begin_inset CommandInset label
470 LatexCommand label
471 name "enu:item"
472
473 \end_inset
474
475  
476 \end_layout
477
478 \begin_layout Standard
479
480 \begin_inset CommandInset ref
481 LatexCommand formatted
482 reference "enu:item"
483
484 \end_inset
485
486
487 \end_layout
488
489 \begin_layout Standard
490
491 \begin_inset Formula \begin{equation}
492 A=B\label{eq:A=00003DB}
493 \end{equation}
494 \end_inset
495
496
497 \end_layout
498
499 \begin_layout Standard
500
501 \begin_inset CommandInset ref
502 LatexCommand formatted
503 reference "eq:A=00003DB"
504
505 \end_inset
506
507  
508 \end_layout
509
510 \begin_layout Lemma
511 lemma
512 \begin_inset CommandInset label
513 LatexCommand label
514 name "lem:lemma"
515
516 \end_inset
517
518
519 \end_layout
520
521 \begin_layout Lemma
522
523 \begin_inset CommandInset ref
524 LatexCommand formatted
525 reference "lem:lemma"
526
527 \end_inset
528
529
530 \end_layout
531
532 \begin_layout Theorem
533 theorem
534 \begin_inset CommandInset label
535 LatexCommand label
536 name "thm:theorem"
537
538 \end_inset
539
540
541 \end_layout
542
543 \begin_layout Theorem
544
545 \begin_inset CommandInset ref
546 LatexCommand formatted
547 reference "thm:theorem"
548
549 \end_inset
550
551
552 \end_layout
553
554 \begin_layout Corollary
555 corollary
556 \begin_inset CommandInset label
557 LatexCommand label
558 name "cor:corollary"
559
560 \end_inset
561
562
563 \end_layout
564
565 \begin_layout Corollary
566
567 \begin_inset CommandInset ref
568 LatexCommand formatted
569 reference "cor:corollary"
570
571 \end_inset
572
573
574 \end_layout
575
576 \begin_layout Proposition
577 proposition
578 \begin_inset CommandInset label
579 LatexCommand label
580 name "prop:proposition"
581
582 \end_inset
583
584
585 \end_layout
586
587 \begin_layout Proposition
588
589 \begin_inset CommandInset ref
590 LatexCommand formatted
591 reference "prop:proposition"
592
593 \end_inset
594
595
596 \end_layout
597
598 \begin_layout Conjecture
599 conjecture
600 \begin_inset CommandInset label
601 LatexCommand label
602 name "conjecture"
603
604 \end_inset
605
606
607 \end_layout
608
609 \begin_layout Conjecture
610
611 \begin_inset CommandInset ref
612 LatexCommand ref
613 reference "conjecture"
614
615 \end_inset
616
617
618 \end_layout
619
620 \begin_layout Fact
621 fact
622 \begin_inset CommandInset label
623 LatexCommand label
624 name "fact"
625
626 \end_inset
627
628
629 \end_layout
630
631 \begin_layout Fact
632
633 \begin_inset CommandInset ref
634 LatexCommand ref
635 reference "fact"
636
637 \end_inset
638
639
640 \end_layout
641
642 \begin_layout Definition
643 definition
644 \begin_inset CommandInset label
645 LatexCommand label
646 name "definition"
647
648 \end_inset
649
650
651 \end_layout
652
653 \begin_layout Definition
654
655 \begin_inset CommandInset ref
656 LatexCommand ref
657 reference "definition"
658
659 \end_inset
660
661
662 \end_layout
663
664 \begin_layout Example
665 example
666 \begin_inset CommandInset label
667 LatexCommand label
668 name "example"
669
670 \end_inset
671
672
673 \end_layout
674
675 \begin_layout Example
676
677 \begin_inset CommandInset ref
678 LatexCommand ref
679 reference "example"
680
681 \end_inset
682
683
684 \end_layout
685
686 \begin_layout Problem
687 problem
688 \begin_inset CommandInset label
689 LatexCommand label
690 name "problem"
691
692 \end_inset
693
694
695 \end_layout
696
697 \begin_layout Problem
698
699 \begin_inset CommandInset ref
700 LatexCommand ref
701 reference "problem"
702
703 \end_inset
704
705
706 \end_layout
707
708 \begin_layout Exercise
709 exercise
710 \begin_inset CommandInset label
711 LatexCommand label
712 name "exercise"
713
714 \end_inset
715
716
717 \end_layout
718
719 \begin_layout Exercise
720
721 \begin_inset CommandInset ref
722 LatexCommand ref
723 reference "exercise"
724
725 \end_inset
726
727
728 \end_layout
729
730 \begin_layout Remark
731 remark
732 \begin_inset CommandInset label
733 LatexCommand label
734 name "remark"
735
736 \end_inset
737
738
739 \end_layout
740
741 \begin_layout Remark
742
743 \begin_inset CommandInset ref
744 LatexCommand ref
745 reference "remark"
746
747 \end_inset
748
749
750 \end_layout
751
752 \begin_layout Claim
753 claim
754 \begin_inset CommandInset label
755 LatexCommand label
756 name "claim"
757
758 \end_inset
759
760
761 \end_layout
762
763 \begin_layout Claim
764
765 \begin_inset CommandInset ref
766 LatexCommand ref
767 reference "claim"
768
769 \end_inset
770
771
772 \end_layout
773
774 \begin_layout Proof
775 proof
776 \begin_inset CommandInset label
777 LatexCommand label
778 name "proof"
779
780 \end_inset
781
782
783 \end_layout
784
785 \begin_layout Proof
786
787 \begin_inset CommandInset ref
788 LatexCommand ref
789 reference "proof"
790
791 \end_inset
792
793
794 \end_layout
795
796 \end_body
797 \end_document