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