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