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