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1 #LyX file created by tex2lyx 2.4
2 \lyxformat 588
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_roman_osf false
29 \font_sans_osf false
30 \font_typewriter_osf false
31 \font_sf_scale 100 100
32 \font_tt_scale 100 100
33 \use_microtype false
34 \use_dash_ligatures true
35 \graphics default
36 \default_output_format default
37 \output_sync 0
38 \bibtex_command default
39 \index_command default
40 \paperfontsize default
41 \spacing single
42 \use_hyperref false
43 \papersize default
44 \use_geometry false
45 \use_package amsmath 1
46 \use_package amssymb 0
47 \use_package cancel 0
48 \use_package esint 1
49 \use_package mathdots 0
50 \use_package mathtools 0
51 \use_package mhchem 0
52 \use_package stackrel 0
53 \use_package stmaryrd 0
54 \use_package undertilde 0
55 \cite_engine basic
56 \cite_engine_type default
57 \biblio_style plain
58 \use_bibtopic false
59 \use_indices false
60 \paperorientation portrait
61 \suppress_date false
62 \justification true
63 \use_refstyle 1
64 \use_minted 0
65 \use_lineno false
66 \index Index
67 \shortcut idx
68 \color #008000
69 \end_index
70 \secnumdepth 3
71 \tocdepth 3
72 \paragraph_separation indent
73 \paragraph_indentation default
74 \is_math_indent 0
75 \math_numbering_side default
76 \quotes_style english
77 \dynamic_quotes 0
78 \papercolumns 1
79 \papersides 2
80 \paperpagestyle default
81 \tracking_changes false
82 \output_changes false
83 \html_math_output 0
84 \html_css_as_file 0
85 \html_be_strict false
86 \end_header
87
88 \begin_body
89
90 \begin_layout Part
91 part
92 \begin_inset CommandInset label
93 LatexCommand label
94 name "part:part"
95
96 \end_inset
97
98
99 \end_layout
100
101 \begin_layout Standard
102
103 \begin_inset CommandInset ref
104 LatexCommand formatted
105 reference "part:part"
106 plural "false"
107 caps "false"
108 noprefix "false"
109
110 \end_inset
111
112
113 \end_layout
114
115 \begin_layout Chapter
116 chapter
117 \begin_inset CommandInset label
118 LatexCommand label
119 name "chap:chapter"
120
121 \end_inset
122
123
124 \end_layout
125
126 \begin_layout Standard
127
128 \begin_inset CommandInset ref
129 LatexCommand formatted
130 reference "chap:chapter"
131 plural "false"
132 caps "false"
133 noprefix "false"
134
135 \end_inset
136
137
138 \end_layout
139
140 \begin_layout Section
141 Section
142 \begin_inset CommandInset label
143 LatexCommand label
144 name "sec:Section"
145
146 \end_inset
147
148
149 \end_layout
150
151 \begin_layout Standard
152
153 \begin_inset CommandInset ref
154 LatexCommand formatted
155 reference "sec:Section"
156 plural "false"
157 caps "false"
158 noprefix "false"
159
160 \end_inset
161
162
163 \end_layout
164
165 \begin_layout Subsection
166 Subsection
167 \begin_inset CommandInset label
168 LatexCommand label
169 name "subsec:subsection"
170
171 \end_inset
172
173
174 \end_layout
175
176 \begin_layout Standard
177 Ref to 
178 \begin_inset CommandInset ref
179 LatexCommand formatted
180 reference "subsec:subsection"
181 plural "false"
182 caps "false"
183 noprefix "false"
184
185 \end_inset
186
187 .
188 \end_layout
189
190 \begin_layout Subsubsection
191 Subsubsection
192 \begin_inset CommandInset label
193 LatexCommand label
194 name "subsec:Subsubsection"
195
196 \end_inset
197
198
199 \end_layout
200
201 \begin_layout Standard
202 Ref to 
203 \begin_inset CommandInset ref
204 LatexCommand formatted
205 reference "subsec:Subsubsection"
206 plural "false"
207 caps "false"
208 noprefix "false"
209
210 \end_inset
211
212 .
213 \end_layout
214
215 \begin_layout Paragraph
216 paragraph
217 \begin_inset CommandInset label
218 LatexCommand label
219 name "par:paragraph"
220
221 \end_inset
222
223
224 \end_layout
225
226 \begin_layout Standard
227
228 \begin_inset CommandInset ref
229 LatexCommand formatted
230 reference "par:paragraph"
231 plural "false"
232 caps "false"
233 noprefix "false"
234
235 \end_inset
236
237
238 \end_layout
239
240 \begin_layout Subparagraph
241 subparagraph
242 \begin_inset CommandInset label
243 LatexCommand label
244 name "par:subparagraph"
245
246 \end_inset
247
248
249 \end_layout
250
251 \begin_layout Standard
252
253 \begin_inset CommandInset ref
254 LatexCommand formatted
255 reference "par:subparagraph"
256 plural "false"
257 caps "false"
258 noprefix "false"
259
260 \end_inset
261
262
263 \end_layout
264
265 \begin_layout Standard
266
267 \begin_inset Float figure
268 wide false
269 sideways false
270 status open
271
272
273 \begin_layout Standard
274
275 \begin_inset ERT
276 status collapsed
277
278 \begin_layout Plain Layout
279
280 \backslash
281 protect
282 \end_layout
283
284 \end_inset
285
286
287 \begin_inset Caption Standard
288
289 \begin_layout Plain Layout
290 figure
291 \begin_inset CommandInset label
292 LatexCommand label
293 name "fig:figure"
294
295 \end_inset
296
297
298 \end_layout
299
300 \end_inset
301
302
303 \end_layout
304
305 \end_inset
306
307
308 \end_layout
309
310 \begin_layout Standard
311
312 \begin_inset CommandInset ref
313 LatexCommand formatted
314 reference "fig:figure"
315 plural "false"
316 caps "false"
317 noprefix "false"
318
319 \end_inset
320
321
322 \end_layout
323
324 \begin_layout Standard
325
326 \begin_inset Float table
327 wide false
328 sideways false
329 status open
330
331
332 \begin_layout Standard
333
334 \begin_inset ERT
335 status collapsed
336
337 \begin_layout Plain Layout
338
339 \backslash
340 protect
341 \end_layout
342
343 \end_inset
344
345
346 \begin_inset Caption Standard
347
348 \begin_layout Plain Layout
349 table
350 \begin_inset CommandInset label
351 LatexCommand label
352 name "tab:table"
353
354 \end_inset
355
356
357 \end_layout
358
359 \end_inset
360
361
362 \end_layout
363
364 \end_inset
365
366
367 \end_layout
368
369 \begin_layout Standard
370
371 \begin_inset CommandInset ref
372 LatexCommand formatted
373 reference "tab:table"
374 plural "false"
375 caps "false"
376 noprefix "false"
377
378 \end_inset
379
380
381 \end_layout
382
383 \begin_layout Standard
384
385 \begin_inset Float algorithm
386 wide false
387 sideways false
388 status open
389
390
391 \begin_layout Standard
392
393 \begin_inset ERT
394 status collapsed
395
396 \begin_layout Plain Layout
397
398 \backslash
399 protect
400 \end_layout
401
402 \end_inset
403
404
405 \begin_inset Caption Standard
406
407 \begin_layout Plain Layout
408 algorithm
409 \begin_inset CommandInset label
410 LatexCommand label
411 name "alg:algorithm"
412
413 \end_inset
414
415
416 \end_layout
417
418 \end_inset
419
420
421 \end_layout
422
423 \end_inset
424
425
426 \end_layout
427
428 \begin_layout Standard
429
430 \begin_inset CommandInset ref
431 LatexCommand formatted
432 reference "alg:algorithm"
433 plural "false"
434 caps "false"
435 noprefix "false"
436
437 \end_inset
438
439
440 \end_layout
441
442 \begin_layout Standard
443
444 \begin_inset Foot
445 status collapsed
446
447
448 \begin_layout Standard
449 foot
450 \begin_inset CommandInset label
451 LatexCommand label
452 name "fn:foot"
453
454 \end_inset
455
456
457 \end_layout
458
459 \end_inset
460
461
462 \end_layout
463
464 \begin_layout Standard
465
466 \begin_inset CommandInset ref
467 LatexCommand formatted
468 reference "fn:foot"
469 plural "false"
470 caps "false"
471 noprefix "false"
472
473 \end_inset
474
475
476 \end_layout
477
478 \begin_layout Standard
479
480 \begin_inset Marginal
481 status collapsed
482
483
484 \begin_layout Standard
485 margin
486 \begin_inset CommandInset label
487 LatexCommand label
488 name "margin"
489
490 \end_inset
491
492
493 \end_layout
494
495 \end_inset
496
497
498 \end_layout
499
500 \begin_layout Standard
501
502 \begin_inset CommandInset ref
503 LatexCommand ref
504 reference "margin"
505 plural "false"
506 caps "false"
507 noprefix "false"
508
509 \end_inset
510
511  
512 \end_layout
513
514 \begin_layout Enumerate
515 item
516 \begin_inset CommandInset label
517 LatexCommand label
518 name "enu:item"
519
520 \end_inset
521
522  
523 \end_layout
524
525 \begin_layout Standard
526
527 \begin_inset CommandInset ref
528 LatexCommand formatted
529 reference "enu:item"
530 plural "false"
531 caps "false"
532 noprefix "false"
533
534 \end_inset
535
536
537 \end_layout
538
539 \begin_layout Standard
540
541 \begin_inset Formula \begin{equation}
542 A=B\label{eq:A=00003DB}
543 \end{equation}
544 \end_inset
545
546
547 \end_layout
548
549 \begin_layout Standard
550
551 \begin_inset CommandInset ref
552 LatexCommand formatted
553 reference "eq:A=00003DB"
554 plural "false"
555 caps "false"
556 noprefix "false"
557
558 \end_inset
559
560  
561 \end_layout
562
563 \begin_layout Lemma
564 lemma
565 \begin_inset CommandInset label
566 LatexCommand label
567 name "lem:lemma"
568
569 \end_inset
570
571
572 \end_layout
573
574 \begin_layout Lemma
575
576 \begin_inset CommandInset ref
577 LatexCommand formatted
578 reference "lem:lemma"
579 plural "false"
580 caps "false"
581 noprefix "false"
582
583 \end_inset
584
585
586 \end_layout
587
588 \begin_layout Theorem
589 theorem
590 \begin_inset CommandInset label
591 LatexCommand label
592 name "thm:theorem"
593
594 \end_inset
595
596
597 \end_layout
598
599 \begin_layout Theorem
600
601 \begin_inset CommandInset ref
602 LatexCommand formatted
603 reference "thm:theorem"
604 plural "false"
605 caps "false"
606 noprefix "false"
607
608 \end_inset
609
610
611 \end_layout
612
613 \begin_layout Corollary
614 corollary
615 \begin_inset CommandInset label
616 LatexCommand label
617 name "cor:corollary"
618
619 \end_inset
620
621
622 \end_layout
623
624 \begin_layout Corollary
625
626 \begin_inset CommandInset ref
627 LatexCommand formatted
628 reference "cor:corollary"
629 plural "false"
630 caps "false"
631 noprefix "false"
632
633 \end_inset
634
635
636 \end_layout
637
638 \begin_layout Proposition
639 proposition
640 \begin_inset CommandInset label
641 LatexCommand label
642 name "prop:proposition"
643
644 \end_inset
645
646
647 \end_layout
648
649 \begin_layout Proposition
650
651 \begin_inset CommandInset ref
652 LatexCommand formatted
653 reference "prop:proposition"
654 plural "false"
655 caps "false"
656 noprefix "false"
657
658 \end_inset
659
660
661 \end_layout
662
663 \begin_layout Conjecture
664 conjecture
665 \begin_inset CommandInset label
666 LatexCommand label
667 name "conjecture"
668
669 \end_inset
670
671
672 \end_layout
673
674 \begin_layout Conjecture
675
676 \begin_inset CommandInset ref
677 LatexCommand ref
678 reference "conjecture"
679 plural "false"
680 caps "false"
681 noprefix "false"
682
683 \end_inset
684
685
686 \end_layout
687
688 \begin_layout Fact
689 fact
690 \begin_inset CommandInset label
691 LatexCommand label
692 name "fact"
693
694 \end_inset
695
696
697 \end_layout
698
699 \begin_layout Fact
700
701 \begin_inset CommandInset ref
702 LatexCommand ref
703 reference "fact"
704 plural "false"
705 caps "false"
706 noprefix "false"
707
708 \end_inset
709
710
711 \end_layout
712
713 \begin_layout Definition
714 definition
715 \begin_inset CommandInset label
716 LatexCommand label
717 name "definition"
718
719 \end_inset
720
721
722 \end_layout
723
724 \begin_layout Definition
725
726 \begin_inset CommandInset ref
727 LatexCommand ref
728 reference "definition"
729 plural "false"
730 caps "false"
731 noprefix "false"
732
733 \end_inset
734
735
736 \end_layout
737
738 \begin_layout Example
739 example
740 \begin_inset CommandInset label
741 LatexCommand label
742 name "example"
743
744 \end_inset
745
746
747 \end_layout
748
749 \begin_layout Example
750
751 \begin_inset CommandInset ref
752 LatexCommand ref
753 reference "example"
754 plural "false"
755 caps "false"
756 noprefix "false"
757
758 \end_inset
759
760
761 \end_layout
762
763 \begin_layout Problem
764 problem
765 \begin_inset CommandInset label
766 LatexCommand label
767 name "problem"
768
769 \end_inset
770
771
772 \end_layout
773
774 \begin_layout Problem
775
776 \begin_inset CommandInset ref
777 LatexCommand ref
778 reference "problem"
779 plural "false"
780 caps "false"
781 noprefix "false"
782
783 \end_inset
784
785
786 \end_layout
787
788 \begin_layout Exercise
789 exercise
790 \begin_inset CommandInset label
791 LatexCommand label
792 name "exercise"
793
794 \end_inset
795
796
797 \end_layout
798
799 \begin_layout Exercise
800
801 \begin_inset CommandInset ref
802 LatexCommand ref
803 reference "exercise"
804 plural "false"
805 caps "false"
806 noprefix "false"
807
808 \end_inset
809
810
811 \end_layout
812
813 \begin_layout Remark
814 remark
815 \begin_inset CommandInset label
816 LatexCommand label
817 name "remark"
818
819 \end_inset
820
821
822 \end_layout
823
824 \begin_layout Remark
825
826 \begin_inset CommandInset ref
827 LatexCommand ref
828 reference "remark"
829 plural "false"
830 caps "false"
831 noprefix "false"
832
833 \end_inset
834
835
836 \end_layout
837
838 \begin_layout Claim
839 claim
840 \begin_inset CommandInset label
841 LatexCommand label
842 name "claim"
843
844 \end_inset
845
846
847 \end_layout
848
849 \begin_layout Claim
850
851 \begin_inset CommandInset ref
852 LatexCommand ref
853 reference "claim"
854 plural "false"
855 caps "false"
856 noprefix "false"
857
858 \end_inset
859
860
861 \end_layout
862
863 \begin_layout Proof
864 proof
865 \begin_inset CommandInset label
866 LatexCommand label
867 name "proof"
868
869 \end_inset
870
871
872 \end_layout
873
874 \begin_layout Proof
875
876 \begin_inset CommandInset ref
877 LatexCommand ref
878 reference "proof"
879 plural "false"
880 caps "false"
881 noprefix "false"
882
883 \end_inset
884
885
886 \end_layout
887
888 \end_body
889 \end_document