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1 #LyX file created by tex2lyx 2.4
2 \lyxformat 612
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 \docbook_mathml_prefix 1
89 \end_header
90
91 \begin_body
92
93 \begin_layout Part
94 part
95 \begin_inset CommandInset label
96 LatexCommand label
97 name "part:part"
98
99 \end_inset
100
101
102 \end_layout
103
104 \begin_layout Standard
105
106 \begin_inset CommandInset ref
107 LatexCommand formatted
108 reference "part:part"
109 plural "false"
110 caps "false"
111 noprefix "false"
112
113 \end_inset
114
115
116 \end_layout
117
118 \begin_layout Chapter
119 chapter
120 \begin_inset CommandInset label
121 LatexCommand label
122 name "chap:chapter"
123
124 \end_inset
125
126
127 \end_layout
128
129 \begin_layout Standard
130
131 \begin_inset CommandInset ref
132 LatexCommand formatted
133 reference "chap:chapter"
134 plural "false"
135 caps "false"
136 noprefix "false"
137
138 \end_inset
139
140
141 \end_layout
142
143 \begin_layout Section
144 Section
145 \begin_inset CommandInset label
146 LatexCommand label
147 name "sec:Section"
148
149 \end_inset
150
151
152 \end_layout
153
154 \begin_layout Standard
155
156 \begin_inset CommandInset ref
157 LatexCommand formatted
158 reference "sec:Section"
159 plural "false"
160 caps "false"
161 noprefix "false"
162
163 \end_inset
164
165
166 \end_layout
167
168 \begin_layout Subsection
169 Subsection
170 \begin_inset CommandInset label
171 LatexCommand label
172 name "subsec:subsection"
173
174 \end_inset
175
176
177 \end_layout
178
179 \begin_layout Standard
180 Ref to 
181 \begin_inset CommandInset ref
182 LatexCommand formatted
183 reference "subsec:subsection"
184 plural "false"
185 caps "false"
186 noprefix "false"
187
188 \end_inset
189
190 .
191 \end_layout
192
193 \begin_layout Subsubsection
194 Subsubsection
195 \begin_inset CommandInset label
196 LatexCommand label
197 name "subsec:Subsubsection"
198
199 \end_inset
200
201
202 \end_layout
203
204 \begin_layout Standard
205 Ref to 
206 \begin_inset CommandInset ref
207 LatexCommand formatted
208 reference "subsec:Subsubsection"
209 plural "false"
210 caps "false"
211 noprefix "false"
212
213 \end_inset
214
215 .
216 \end_layout
217
218 \begin_layout Paragraph
219 paragraph
220 \begin_inset CommandInset label
221 LatexCommand label
222 name "par:paragraph"
223
224 \end_inset
225
226
227 \end_layout
228
229 \begin_layout Standard
230
231 \begin_inset CommandInset ref
232 LatexCommand formatted
233 reference "par:paragraph"
234 plural "false"
235 caps "false"
236 noprefix "false"
237
238 \end_inset
239
240
241 \end_layout
242
243 \begin_layout Subparagraph
244 subparagraph
245 \begin_inset CommandInset label
246 LatexCommand label
247 name "par:subparagraph"
248
249 \end_inset
250
251
252 \end_layout
253
254 \begin_layout Standard
255
256 \begin_inset CommandInset ref
257 LatexCommand formatted
258 reference "par:subparagraph"
259 plural "false"
260 caps "false"
261 noprefix "false"
262
263 \end_inset
264
265
266 \end_layout
267
268 \begin_layout Standard
269
270 \begin_inset Float figure
271 wide false
272 sideways false
273 status open
274
275
276 \begin_layout Standard
277
278 \begin_inset ERT
279 status collapsed
280
281 \begin_layout Plain Layout
282
283 \backslash
284 protect
285 \end_layout
286
287 \end_inset
288
289
290 \begin_inset Caption Standard
291
292 \begin_layout Plain Layout
293 figure
294 \begin_inset CommandInset label
295 LatexCommand label
296 name "fig:figure"
297
298 \end_inset
299
300
301 \end_layout
302
303 \end_inset
304
305
306 \end_layout
307
308 \end_inset
309
310
311 \end_layout
312
313 \begin_layout Standard
314
315 \begin_inset CommandInset ref
316 LatexCommand formatted
317 reference "fig:figure"
318 plural "false"
319 caps "false"
320 noprefix "false"
321
322 \end_inset
323
324
325 \end_layout
326
327 \begin_layout Standard
328
329 \begin_inset Float table
330 wide false
331 sideways false
332 status open
333
334
335 \begin_layout Standard
336
337 \begin_inset ERT
338 status collapsed
339
340 \begin_layout Plain Layout
341
342 \backslash
343 protect
344 \end_layout
345
346 \end_inset
347
348
349 \begin_inset Caption Standard
350
351 \begin_layout Plain Layout
352 table
353 \begin_inset CommandInset label
354 LatexCommand label
355 name "tab:table"
356
357 \end_inset
358
359
360 \end_layout
361
362 \end_inset
363
364
365 \end_layout
366
367 \end_inset
368
369
370 \end_layout
371
372 \begin_layout Standard
373
374 \begin_inset CommandInset ref
375 LatexCommand formatted
376 reference "tab:table"
377 plural "false"
378 caps "false"
379 noprefix "false"
380
381 \end_inset
382
383
384 \end_layout
385
386 \begin_layout Standard
387
388 \begin_inset Float algorithm
389 wide false
390 sideways false
391 status open
392
393
394 \begin_layout Standard
395
396 \begin_inset ERT
397 status collapsed
398
399 \begin_layout Plain Layout
400
401 \backslash
402 protect
403 \end_layout
404
405 \end_inset
406
407
408 \begin_inset Caption Standard
409
410 \begin_layout Plain Layout
411 algorithm
412 \begin_inset CommandInset label
413 LatexCommand label
414 name "alg:algorithm"
415
416 \end_inset
417
418
419 \end_layout
420
421 \end_inset
422
423
424 \end_layout
425
426 \end_inset
427
428
429 \end_layout
430
431 \begin_layout Standard
432
433 \begin_inset CommandInset ref
434 LatexCommand formatted
435 reference "alg:algorithm"
436 plural "false"
437 caps "false"
438 noprefix "false"
439
440 \end_inset
441
442
443 \end_layout
444
445 \begin_layout Standard
446
447 \begin_inset Foot
448 status collapsed
449
450
451 \begin_layout Standard
452 foot
453 \begin_inset CommandInset label
454 LatexCommand label
455 name "fn:foot"
456
457 \end_inset
458
459
460 \end_layout
461
462 \end_inset
463
464
465 \end_layout
466
467 \begin_layout Standard
468
469 \begin_inset CommandInset ref
470 LatexCommand formatted
471 reference "fn:foot"
472 plural "false"
473 caps "false"
474 noprefix "false"
475
476 \end_inset
477
478
479 \end_layout
480
481 \begin_layout Standard
482
483 \begin_inset Marginal
484 status collapsed
485
486
487 \begin_layout Standard
488 margin
489 \begin_inset CommandInset label
490 LatexCommand label
491 name "margin"
492
493 \end_inset
494
495
496 \end_layout
497
498 \end_inset
499
500
501 \end_layout
502
503 \begin_layout Standard
504
505 \begin_inset CommandInset ref
506 LatexCommand ref
507 reference "margin"
508 plural "false"
509 caps "false"
510 noprefix "false"
511
512 \end_inset
513
514  
515 \end_layout
516
517 \begin_layout Enumerate
518 item
519 \begin_inset CommandInset label
520 LatexCommand label
521 name "enu:item"
522
523 \end_inset
524
525  
526 \end_layout
527
528 \begin_layout Standard
529
530 \begin_inset CommandInset ref
531 LatexCommand formatted
532 reference "enu:item"
533 plural "false"
534 caps "false"
535 noprefix "false"
536
537 \end_inset
538
539
540 \end_layout
541
542 \begin_layout Standard
543
544 \begin_inset Formula \begin{equation}
545 A=B\label{eq:A=00003DB}
546 \end{equation}
547 \end_inset
548
549
550 \end_layout
551
552 \begin_layout Standard
553
554 \begin_inset CommandInset ref
555 LatexCommand formatted
556 reference "eq:A=00003DB"
557 plural "false"
558 caps "false"
559 noprefix "false"
560
561 \end_inset
562
563  
564 \end_layout
565
566 \begin_layout Lemma
567 lemma
568 \begin_inset CommandInset label
569 LatexCommand label
570 name "lem:lemma"
571
572 \end_inset
573
574
575 \end_layout
576
577 \begin_layout Lemma
578
579 \begin_inset CommandInset ref
580 LatexCommand formatted
581 reference "lem:lemma"
582 plural "false"
583 caps "false"
584 noprefix "false"
585
586 \end_inset
587
588
589 \end_layout
590
591 \begin_layout Theorem
592 theorem
593 \begin_inset CommandInset label
594 LatexCommand label
595 name "thm:theorem"
596
597 \end_inset
598
599
600 \end_layout
601
602 \begin_layout Theorem
603
604 \begin_inset CommandInset ref
605 LatexCommand formatted
606 reference "thm:theorem"
607 plural "false"
608 caps "false"
609 noprefix "false"
610
611 \end_inset
612
613
614 \end_layout
615
616 \begin_layout Corollary
617 corollary
618 \begin_inset CommandInset label
619 LatexCommand label
620 name "cor:corollary"
621
622 \end_inset
623
624
625 \end_layout
626
627 \begin_layout Corollary
628
629 \begin_inset CommandInset ref
630 LatexCommand formatted
631 reference "cor:corollary"
632 plural "false"
633 caps "false"
634 noprefix "false"
635
636 \end_inset
637
638
639 \end_layout
640
641 \begin_layout Proposition
642 proposition
643 \begin_inset CommandInset label
644 LatexCommand label
645 name "prop:proposition"
646
647 \end_inset
648
649
650 \end_layout
651
652 \begin_layout Proposition
653
654 \begin_inset CommandInset ref
655 LatexCommand formatted
656 reference "prop:proposition"
657 plural "false"
658 caps "false"
659 noprefix "false"
660
661 \end_inset
662
663
664 \end_layout
665
666 \begin_layout Conjecture
667 conjecture
668 \begin_inset CommandInset label
669 LatexCommand label
670 name "conjecture"
671
672 \end_inset
673
674
675 \end_layout
676
677 \begin_layout Conjecture
678
679 \begin_inset CommandInset ref
680 LatexCommand ref
681 reference "conjecture"
682 plural "false"
683 caps "false"
684 noprefix "false"
685
686 \end_inset
687
688
689 \end_layout
690
691 \begin_layout Fact
692 fact
693 \begin_inset CommandInset label
694 LatexCommand label
695 name "fact"
696
697 \end_inset
698
699
700 \end_layout
701
702 \begin_layout Fact
703
704 \begin_inset CommandInset ref
705 LatexCommand ref
706 reference "fact"
707 plural "false"
708 caps "false"
709 noprefix "false"
710
711 \end_inset
712
713
714 \end_layout
715
716 \begin_layout Definition
717 definition
718 \begin_inset CommandInset label
719 LatexCommand label
720 name "definition"
721
722 \end_inset
723
724
725 \end_layout
726
727 \begin_layout Definition
728
729 \begin_inset CommandInset ref
730 LatexCommand ref
731 reference "definition"
732 plural "false"
733 caps "false"
734 noprefix "false"
735
736 \end_inset
737
738
739 \end_layout
740
741 \begin_layout Example
742 example
743 \begin_inset CommandInset label
744 LatexCommand label
745 name "example"
746
747 \end_inset
748
749
750 \end_layout
751
752 \begin_layout Example
753
754 \begin_inset CommandInset ref
755 LatexCommand ref
756 reference "example"
757 plural "false"
758 caps "false"
759 noprefix "false"
760
761 \end_inset
762
763
764 \end_layout
765
766 \begin_layout Problem
767 problem
768 \begin_inset CommandInset label
769 LatexCommand label
770 name "problem"
771
772 \end_inset
773
774
775 \end_layout
776
777 \begin_layout Problem
778
779 \begin_inset CommandInset ref
780 LatexCommand ref
781 reference "problem"
782 plural "false"
783 caps "false"
784 noprefix "false"
785
786 \end_inset
787
788
789 \end_layout
790
791 \begin_layout Exercise
792 exercise
793 \begin_inset CommandInset label
794 LatexCommand label
795 name "exercise"
796
797 \end_inset
798
799
800 \end_layout
801
802 \begin_layout Exercise
803
804 \begin_inset CommandInset ref
805 LatexCommand ref
806 reference "exercise"
807 plural "false"
808 caps "false"
809 noprefix "false"
810
811 \end_inset
812
813
814 \end_layout
815
816 \begin_layout Remark
817 remark
818 \begin_inset CommandInset label
819 LatexCommand label
820 name "remark"
821
822 \end_inset
823
824
825 \end_layout
826
827 \begin_layout Remark
828
829 \begin_inset CommandInset ref
830 LatexCommand ref
831 reference "remark"
832 plural "false"
833 caps "false"
834 noprefix "false"
835
836 \end_inset
837
838
839 \end_layout
840
841 \begin_layout Claim
842 claim
843 \begin_inset CommandInset label
844 LatexCommand label
845 name "claim"
846
847 \end_inset
848
849
850 \end_layout
851
852 \begin_layout Claim
853
854 \begin_inset CommandInset ref
855 LatexCommand ref
856 reference "claim"
857 plural "false"
858 caps "false"
859 noprefix "false"
860
861 \end_inset
862
863
864 \end_layout
865
866 \begin_layout Proof
867 proof
868 \begin_inset CommandInset label
869 LatexCommand label
870 name "proof"
871
872 \end_inset
873
874
875 \end_layout
876
877 \begin_layout Proof
878
879 \begin_inset CommandInset ref
880 LatexCommand ref
881 reference "proof"
882 plural "false"
883 caps "false"
884 noprefix "false"
885
886 \end_inset
887
888
889 \end_layout
890
891 \end_body
892 \end_document