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1 #LyX file created by tex2lyx 2.3
2 \lyxformat 539
3 \begin_document
4 \begin_header
5 \save_transient_properties true
6 \origin roundtrip
7 \textclass book
8 \begin_preamble
9 \usepackage{babel}
10
11 \end_preamble
12 \use_default_options false
13 \begin_modules
14 theorems-ams
15 \end_modules
16 \maintain_unincluded_children false
17 \language english
18 \language_package default
19 \inputencoding iso8859-15
20 \fontencoding T1
21 \font_roman "default" "default"
22 \font_sans "default" "default"
23 \font_typewriter "default" "default"
24 \font_math "auto" "auto"
25 \font_default_family default
26 \use_non_tex_fonts false
27 \font_sc false
28 \font_osf false
29 \font_sf_scale 100 100
30 \font_tt_scale 100 100
31 \use_microtype 0
32 \graphics default
33 \default_output_format default
34 \output_sync 0
35 \bibtex_command default
36 \index_command default
37 \paperfontsize default
38 \spacing single
39 \use_hyperref false
40 \papersize default
41 \use_geometry false
42 \use_package amsmath 1
43 \use_package amssymb 0
44 \use_package cancel 0
45 \use_package esint 1
46 \use_package mathdots 0
47 \use_package mathtools 0
48 \use_package mhchem 0
49 \use_package stackrel 0
50 \use_package stmaryrd 0
51 \use_package undertilde 0
52 \cite_engine basic
53 \cite_engine_type default
54 \biblio_style plain
55 \use_bibtopic false
56 \use_indices false
57 \paperorientation portrait
58 \suppress_date false
59 \justification true
60 \use_refstyle 1
61 \index Index
62 \shortcut idx
63 \color #008000
64 \end_index
65 \secnumdepth 3
66 \tocdepth 3
67 \paragraph_separation indent
68 \paragraph_indentation default
69 \is_formula_indent 0
70 \formula_indentation 
71 \quotes_style english
72 \papercolumns 1
73 \papersides 2
74 \paperpagestyle default
75 \tracking_changes false
76 \output_changes false
77 \html_math_output 0
78 \html_css_as_file 0
79 \html_be_strict false
80 \end_header
81
82 \begin_body
83
84 \begin_layout Part
85 part
86 \begin_inset CommandInset label
87 LatexCommand label
88 name "part:part"
89
90 \end_inset
91
92
93 \end_layout
94
95 \begin_layout Standard
96
97 \begin_inset CommandInset ref
98 LatexCommand formatted
99 reference "part:part"
100 plural "false"
101 caps "false"
102 noprefix "false"
103
104 \end_inset
105
106
107 \end_layout
108
109 \begin_layout Chapter
110 chapter
111 \begin_inset CommandInset label
112 LatexCommand label
113 name "chap:chapter"
114
115 \end_inset
116
117
118 \end_layout
119
120 \begin_layout Standard
121
122 \begin_inset CommandInset ref
123 LatexCommand formatted
124 reference "chap:chapter"
125 plural "false"
126 caps "false"
127 noprefix "false"
128
129 \end_inset
130
131
132 \end_layout
133
134 \begin_layout Section
135 Section
136 \begin_inset CommandInset label
137 LatexCommand label
138 name "sec:Section"
139
140 \end_inset
141
142
143 \end_layout
144
145 \begin_layout Standard
146
147 \begin_inset CommandInset ref
148 LatexCommand formatted
149 reference "sec:Section"
150 plural "false"
151 caps "false"
152 noprefix "false"
153
154 \end_inset
155
156
157 \end_layout
158
159 \begin_layout Subsection
160 Subsection
161 \begin_inset CommandInset label
162 LatexCommand label
163 name "subsec:subsection"
164
165 \end_inset
166
167
168 \end_layout
169
170 \begin_layout Standard
171 Ref to 
172 \begin_inset CommandInset ref
173 LatexCommand formatted
174 reference "subsec:subsection"
175 plural "false"
176 caps "false"
177 noprefix "false"
178
179 \end_inset
180
181 .
182 \end_layout
183
184 \begin_layout Subsubsection
185 Subsubsection
186 \begin_inset CommandInset label
187 LatexCommand label
188 name "subsec:Subsubsection"
189
190 \end_inset
191
192
193 \end_layout
194
195 \begin_layout Standard
196 Ref to 
197 \begin_inset CommandInset ref
198 LatexCommand formatted
199 reference "subsec:Subsubsection"
200 plural "false"
201 caps "false"
202 noprefix "false"
203
204 \end_inset
205
206 .
207 \end_layout
208
209 \begin_layout Paragraph
210 paragraph
211 \begin_inset CommandInset label
212 LatexCommand label
213 name "par:paragraph"
214
215 \end_inset
216
217
218 \end_layout
219
220 \begin_layout Standard
221
222 \begin_inset CommandInset ref
223 LatexCommand formatted
224 reference "par:paragraph"
225 plural "false"
226 caps "false"
227 noprefix "false"
228
229 \end_inset
230
231
232 \end_layout
233
234 \begin_layout Subparagraph
235 subparagraph
236 \begin_inset CommandInset label
237 LatexCommand label
238 name "par:subparagraph"
239
240 \end_inset
241
242
243 \end_layout
244
245 \begin_layout Standard
246
247 \begin_inset CommandInset ref
248 LatexCommand formatted
249 reference "par:subparagraph"
250 plural "false"
251 caps "false"
252 noprefix "false"
253
254 \end_inset
255
256
257 \end_layout
258
259 \begin_layout Standard
260
261 \begin_inset Float figure
262 wide false
263 sideways false
264 status open
265
266
267 \begin_layout Standard
268
269 \begin_inset ERT
270 status collapsed
271
272 \begin_layout Plain Layout
273
274 \backslash
275 protect
276 \end_layout
277
278 \end_inset
279
280
281 \begin_inset Caption Standard
282
283 \begin_layout Plain Layout
284 figure
285 \begin_inset CommandInset label
286 LatexCommand label
287 name "fig:figure"
288
289 \end_inset
290
291
292 \end_layout
293
294 \end_inset
295
296
297 \end_layout
298
299 \end_inset
300
301
302 \end_layout
303
304 \begin_layout Standard
305
306 \begin_inset CommandInset ref
307 LatexCommand formatted
308 reference "fig:figure"
309 plural "false"
310 caps "false"
311 noprefix "false"
312
313 \end_inset
314
315
316 \end_layout
317
318 \begin_layout Standard
319
320 \begin_inset Float table
321 wide false
322 sideways false
323 status open
324
325
326 \begin_layout Standard
327
328 \begin_inset ERT
329 status collapsed
330
331 \begin_layout Plain Layout
332
333 \backslash
334 protect
335 \end_layout
336
337 \end_inset
338
339
340 \begin_inset Caption Standard
341
342 \begin_layout Plain Layout
343 table
344 \begin_inset CommandInset label
345 LatexCommand label
346 name "tab:table"
347
348 \end_inset
349
350
351 \end_layout
352
353 \end_inset
354
355
356 \end_layout
357
358 \end_inset
359
360
361 \end_layout
362
363 \begin_layout Standard
364
365 \begin_inset CommandInset ref
366 LatexCommand formatted
367 reference "tab:table"
368 plural "false"
369 caps "false"
370 noprefix "false"
371
372 \end_inset
373
374
375 \end_layout
376
377 \begin_layout Standard
378
379 \begin_inset Float algorithm
380 wide false
381 sideways false
382 status open
383
384
385 \begin_layout Standard
386
387 \begin_inset ERT
388 status collapsed
389
390 \begin_layout Plain Layout
391
392 \backslash
393 protect
394 \end_layout
395
396 \end_inset
397
398
399 \begin_inset Caption Standard
400
401 \begin_layout Plain Layout
402 algorithm
403 \begin_inset CommandInset label
404 LatexCommand label
405 name "alg:algorithm"
406
407 \end_inset
408
409
410 \end_layout
411
412 \end_inset
413
414
415 \end_layout
416
417 \end_inset
418
419
420 \end_layout
421
422 \begin_layout Standard
423
424 \begin_inset CommandInset ref
425 LatexCommand formatted
426 reference "alg:algorithm"
427 plural "false"
428 caps "false"
429 noprefix "false"
430
431 \end_inset
432
433
434 \end_layout
435
436 \begin_layout Standard
437
438 \begin_inset Foot
439 status collapsed
440
441
442 \begin_layout Standard
443 foot
444 \begin_inset CommandInset label
445 LatexCommand label
446 name "fn:foot"
447
448 \end_inset
449
450
451 \end_layout
452
453 \end_inset
454
455
456 \end_layout
457
458 \begin_layout Standard
459
460 \begin_inset CommandInset ref
461 LatexCommand formatted
462 reference "fn:foot"
463 plural "false"
464 caps "false"
465 noprefix "false"
466
467 \end_inset
468
469
470 \end_layout
471
472 \begin_layout Standard
473
474 \begin_inset Marginal
475 status collapsed
476
477
478 \begin_layout Standard
479 margin
480 \begin_inset CommandInset label
481 LatexCommand label
482 name "margin"
483
484 \end_inset
485
486
487 \end_layout
488
489 \end_inset
490
491
492 \end_layout
493
494 \begin_layout Standard
495
496 \begin_inset CommandInset ref
497 LatexCommand ref
498 reference "margin"
499 plural "false"
500 caps "false"
501 noprefix "false"
502
503 \end_inset
504
505  
506 \end_layout
507
508 \begin_layout Enumerate
509 item
510 \begin_inset CommandInset label
511 LatexCommand label
512 name "enu:item"
513
514 \end_inset
515
516  
517 \end_layout
518
519 \begin_layout Standard
520
521 \begin_inset CommandInset ref
522 LatexCommand formatted
523 reference "enu:item"
524 plural "false"
525 caps "false"
526 noprefix "false"
527
528 \end_inset
529
530
531 \end_layout
532
533 \begin_layout Standard
534
535 \begin_inset Formula \begin{equation}
536 A=B\label{eq:A=00003DB}
537 \end{equation}
538 \end_inset
539
540
541 \end_layout
542
543 \begin_layout Standard
544
545 \begin_inset CommandInset ref
546 LatexCommand formatted
547 reference "eq:A=00003DB"
548 plural "false"
549 caps "false"
550 noprefix "false"
551
552 \end_inset
553
554  
555 \end_layout
556
557 \begin_layout Lemma
558 lemma
559 \begin_inset CommandInset label
560 LatexCommand label
561 name "lem:lemma"
562
563 \end_inset
564
565
566 \end_layout
567
568 \begin_layout Lemma
569
570 \begin_inset CommandInset ref
571 LatexCommand formatted
572 reference "lem:lemma"
573 plural "false"
574 caps "false"
575 noprefix "false"
576
577 \end_inset
578
579
580 \end_layout
581
582 \begin_layout Theorem
583 theorem
584 \begin_inset CommandInset label
585 LatexCommand label
586 name "thm:theorem"
587
588 \end_inset
589
590
591 \end_layout
592
593 \begin_layout Theorem
594
595 \begin_inset CommandInset ref
596 LatexCommand formatted
597 reference "thm:theorem"
598 plural "false"
599 caps "false"
600 noprefix "false"
601
602 \end_inset
603
604
605 \end_layout
606
607 \begin_layout Corollary
608 corollary
609 \begin_inset CommandInset label
610 LatexCommand label
611 name "cor:corollary"
612
613 \end_inset
614
615
616 \end_layout
617
618 \begin_layout Corollary
619
620 \begin_inset CommandInset ref
621 LatexCommand formatted
622 reference "cor:corollary"
623 plural "false"
624 caps "false"
625 noprefix "false"
626
627 \end_inset
628
629
630 \end_layout
631
632 \begin_layout Proposition
633 proposition
634 \begin_inset CommandInset label
635 LatexCommand label
636 name "prop:proposition"
637
638 \end_inset
639
640
641 \end_layout
642
643 \begin_layout Proposition
644
645 \begin_inset CommandInset ref
646 LatexCommand formatted
647 reference "prop:proposition"
648 plural "false"
649 caps "false"
650 noprefix "false"
651
652 \end_inset
653
654
655 \end_layout
656
657 \begin_layout Conjecture
658 conjecture
659 \begin_inset CommandInset label
660 LatexCommand label
661 name "conjecture"
662
663 \end_inset
664
665
666 \end_layout
667
668 \begin_layout Conjecture
669
670 \begin_inset CommandInset ref
671 LatexCommand ref
672 reference "conjecture"
673 plural "false"
674 caps "false"
675 noprefix "false"
676
677 \end_inset
678
679
680 \end_layout
681
682 \begin_layout Fact
683 fact
684 \begin_inset CommandInset label
685 LatexCommand label
686 name "fact"
687
688 \end_inset
689
690
691 \end_layout
692
693 \begin_layout Fact
694
695 \begin_inset CommandInset ref
696 LatexCommand ref
697 reference "fact"
698 plural "false"
699 caps "false"
700 noprefix "false"
701
702 \end_inset
703
704
705 \end_layout
706
707 \begin_layout Definition
708 definition
709 \begin_inset CommandInset label
710 LatexCommand label
711 name "definition"
712
713 \end_inset
714
715
716 \end_layout
717
718 \begin_layout Definition
719
720 \begin_inset CommandInset ref
721 LatexCommand ref
722 reference "definition"
723 plural "false"
724 caps "false"
725 noprefix "false"
726
727 \end_inset
728
729
730 \end_layout
731
732 \begin_layout Example
733 example
734 \begin_inset CommandInset label
735 LatexCommand label
736 name "example"
737
738 \end_inset
739
740
741 \end_layout
742
743 \begin_layout Example
744
745 \begin_inset CommandInset ref
746 LatexCommand ref
747 reference "example"
748 plural "false"
749 caps "false"
750 noprefix "false"
751
752 \end_inset
753
754
755 \end_layout
756
757 \begin_layout Problem
758 problem
759 \begin_inset CommandInset label
760 LatexCommand label
761 name "problem"
762
763 \end_inset
764
765
766 \end_layout
767
768 \begin_layout Problem
769
770 \begin_inset CommandInset ref
771 LatexCommand ref
772 reference "problem"
773 plural "false"
774 caps "false"
775 noprefix "false"
776
777 \end_inset
778
779
780 \end_layout
781
782 \begin_layout Exercise
783 exercise
784 \begin_inset CommandInset label
785 LatexCommand label
786 name "exercise"
787
788 \end_inset
789
790
791 \end_layout
792
793 \begin_layout Exercise
794
795 \begin_inset CommandInset ref
796 LatexCommand ref
797 reference "exercise"
798 plural "false"
799 caps "false"
800 noprefix "false"
801
802 \end_inset
803
804
805 \end_layout
806
807 \begin_layout Remark
808 remark
809 \begin_inset CommandInset label
810 LatexCommand label
811 name "remark"
812
813 \end_inset
814
815
816 \end_layout
817
818 \begin_layout Remark
819
820 \begin_inset CommandInset ref
821 LatexCommand ref
822 reference "remark"
823 plural "false"
824 caps "false"
825 noprefix "false"
826
827 \end_inset
828
829
830 \end_layout
831
832 \begin_layout Claim
833 claim
834 \begin_inset CommandInset label
835 LatexCommand label
836 name "claim"
837
838 \end_inset
839
840
841 \end_layout
842
843 \begin_layout Claim
844
845 \begin_inset CommandInset ref
846 LatexCommand ref
847 reference "claim"
848 plural "false"
849 caps "false"
850 noprefix "false"
851
852 \end_inset
853
854
855 \end_layout
856
857 \begin_layout Proof
858 proof
859 \begin_inset CommandInset label
860 LatexCommand label
861 name "proof"
862
863 \end_inset
864
865
866 \end_layout
867
868 \begin_layout Proof
869
870 \begin_inset CommandInset ref
871 LatexCommand ref
872 reference "proof"
873 plural "false"
874 caps "false"
875 noprefix "false"
876
877 \end_inset
878
879
880 \end_layout
881
882 \end_body
883 \end_document