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