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1 #LyX file created by tex2lyx 2.1.0dev
2 \lyxformat 463
3 \begin_document
4 \begin_header
5 \textclass book
6 \begin_preamble
7
8
9
10
11 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
12
13 \floatstyle{ruled}
14 \newfloat{algorithm}{tbp}{loa}[chapter]
15 \providecommand{\algorithmname}{Algorithm}
16 \floatname{algorithm}{\protect\algorithmname}
17
18
19
20 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Textclass specific LaTeX commands.
21 \theoremstyle{plain}
22 \newtheorem{thm}{}\theoremstyle{plain}
23 \newtheorem{lem}[thm]{}\theoremstyle{plain}
24 \newtheorem{cor}[thm]{}\theoremstyle{plain}
25 \newtheorem{prop}[thm]{}\theoremstyle{plain}
26 \newtheorem{conjecture}[thm]{}\theoremstyle{plain}
27 \newtheorem{fact}[thm]{}\theoremstyle{definition}
28 \newtheorem{defn}[thm]{}\theoremstyle{definition}
29 \newtheorem{example}[thm]{}\theoremstyle{definition}
30 \newtheorem{problem}[thm]{}\theoremstyle{definition}
31 \newtheorem{xca}[thm]{}\theoremstyle{remark}
32 \newtheorem{rem}[thm]{}\theoremstyle{remark}
33 \newtheorem{claim}[thm]{}\ifx\proof\undefined
34 \newenvironment{proof}[1][\protect\proofname]{\par
35 \normalfont\topsep6\p@\@plus6\p@\relax
36 \trivlist
37 \itemindent\parindent
38 \item[\hskip\labelsep\scshape #1]\ignorespaces
39 }{%
40 \endtrivlist\@endpefalse
41 }
42 \providecommand{\proofname}{Proof}
43 \fi
44
45
46
47 \usepackage{babel}
48 \providecommand{\claimname}{Claim}
49 \providecommand{\conjecturename}{Conjecture}
50 \providecommand{\corollaryname}{Corollary}
51 \providecommand{\definitionname}{Definition}
52 \providecommand{\examplename}{Example}
53 \providecommand{\exercisename}{Exercise}
54 \providecommand{\factname}{Fact}
55 \providecommand{\lemmaname}{Lemma}
56 \providecommand{\problemname}{Problem}
57 \providecommand{\propositionname}{Proposition}
58 \providecommand{\remarkname}{Remark}
59 \providecommand{\theoremname}{Theorem}
60
61
62 \end_preamble
63 \use_default_options false
64 \begin_modules
65 theorems-ams
66 \end_modules
67 \maintain_unincluded_children false
68 \language english
69 \language_package default
70 \inputencoding iso8859-15
71 \fontencoding T1
72 \font_roman default
73 \font_sans default
74 \font_typewriter default
75 \font_math auto
76 \font_default_family default
77 \use_non_tex_fonts false
78 \font_sc false
79 \font_osf false
80 \font_sf_scale 100
81 \font_tt_scale 100
82 \graphics default
83 \default_output_format default
84 \output_sync 0
85 \bibtex_command default
86 \index_command default
87 \paperfontsize default
88 \spacing single
89 \use_hyperref false
90 \papersize default
91 \use_geometry false
92 \use_package amsmath 1
93 \use_package amssymb 0
94 \use_package esint 1
95 \use_package mathdots 0
96 \use_package mathtools 0
97 \use_package mhchem 0
98 \use_package stackrel 0
99 \use_package stmaryrd 0
100 \use_package undertilde 0
101 \cite_engine basic
102 \cite_engine_type numerical
103 \biblio_style plain
104 \use_bibtopic false
105 \use_indices false
106 \paperorientation portrait
107 \suppress_date false
108 \justification true
109 \use_refstyle 1
110 \index Index
111 \shortcut idx
112 \color #008000
113 \end_index
114 \secnumdepth 3
115 \tocdepth 3
116 \paragraph_separation indent
117 \paragraph_indentation default
118 \quotes_language english
119 \papercolumns 1
120 \papersides 2
121 \paperpagestyle default
122 \tracking_changes false
123 \output_changes false
124 \html_math_output 0
125 \html_css_as_file 0
126 \html_be_strict false
127 \end_header
128
129 \begin_body
130
131 \begin_layout Part
132 part
133 \begin_inset CommandInset label
134 LatexCommand label
135 name "part:part"
136
137 \end_inset
138
139
140 \end_layout
141
142 \begin_layout Standard
143
144 \begin_inset CommandInset ref
145 LatexCommand formatted
146 reference "part:part"
147
148 \end_inset
149
150
151 \end_layout
152
153 \begin_layout Chapter
154 chapter
155 \begin_inset CommandInset label
156 LatexCommand label
157 name "chap:chapter"
158
159 \end_inset
160
161
162 \end_layout
163
164 \begin_layout Standard
165
166 \begin_inset CommandInset ref
167 LatexCommand formatted
168 reference "chap:chapter"
169
170 \end_inset
171
172
173 \end_layout
174
175 \begin_layout Section
176 Section
177 \begin_inset CommandInset label
178 LatexCommand label
179 name "sec:Section"
180
181 \end_inset
182
183
184 \end_layout
185
186 \begin_layout Standard
187
188 \begin_inset CommandInset ref
189 LatexCommand formatted
190 reference "sec:Section"
191
192 \end_inset
193
194
195 \end_layout
196
197 \begin_layout Subsection
198 Subsection
199 \begin_inset CommandInset label
200 LatexCommand label
201 name "sub:subsection"
202
203 \end_inset
204
205
206 \end_layout
207
208 \begin_layout Standard
209 Ref to 
210 \begin_inset CommandInset ref
211 LatexCommand formatted
212 reference "sub:subsection"
213
214 \end_inset
215
216 .
217 \end_layout
218
219 \begin_layout Subsubsection
220 Subsubsection
221 \begin_inset CommandInset label
222 LatexCommand label
223 name "sub:Subsubsection"
224
225 \end_inset
226
227
228 \end_layout
229
230 \begin_layout Standard
231 Ref to 
232 \begin_inset CommandInset ref
233 LatexCommand formatted
234 reference "sub:Subsubsection"
235
236 \end_inset
237
238 .
239 \end_layout
240
241 \begin_layout Paragraph
242 paragraph
243 \begin_inset CommandInset label
244 LatexCommand label
245 name "par:paragraph"
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:paragraph"
257
258 \end_inset
259
260
261 \end_layout
262
263 \begin_layout Subparagraph
264 subparagraph
265 \begin_inset CommandInset label
266 LatexCommand label
267 name "par:subparagraph"
268
269 \end_inset
270
271
272 \end_layout
273
274 \begin_layout Standard
275
276 \begin_inset CommandInset ref
277 LatexCommand formatted
278 reference "par:subparagraph"
279
280 \end_inset
281
282
283 \end_layout
284
285 \begin_layout Standard
286
287 \begin_inset Float figure
288 wide false
289 sideways false
290 status open
291
292
293 \begin_layout Standard
294
295 \begin_inset ERT
296 status collapsed
297
298 \begin_layout Plain Layout
299
300 \backslash
301 protect
302 \end_layout
303
304 \end_inset
305
306
307 \begin_inset Caption Standard
308
309 \begin_layout Standard
310 figure
311 \begin_inset CommandInset label
312 LatexCommand label
313 name "fig:figure"
314
315 \end_inset
316
317
318 \end_layout
319
320 \end_inset
321
322
323 \end_layout
324
325 \end_inset
326
327
328 \end_layout
329
330 \begin_layout Standard
331
332 \begin_inset CommandInset ref
333 LatexCommand formatted
334 reference "fig:figure"
335
336 \end_inset
337
338
339 \end_layout
340
341 \begin_layout Standard
342
343 \begin_inset Float table
344 wide false
345 sideways false
346 status open
347
348
349 \begin_layout Standard
350
351 \begin_inset ERT
352 status collapsed
353
354 \begin_layout Plain Layout
355
356 \backslash
357 protect
358 \end_layout
359
360 \end_inset
361
362
363 \begin_inset Caption Standard
364
365 \begin_layout Standard
366 table
367 \begin_inset CommandInset label
368 LatexCommand label
369 name "tab:table"
370
371 \end_inset
372
373
374 \end_layout
375
376 \end_inset
377
378
379 \end_layout
380
381 \end_inset
382
383
384 \end_layout
385
386 \begin_layout Standard
387
388 \begin_inset CommandInset ref
389 LatexCommand formatted
390 reference "tab:table"
391
392 \end_inset
393
394
395 \end_layout
396
397 \begin_layout Standard
398
399 \begin_inset Float algorithm
400 wide false
401 sideways false
402 status open
403
404
405 \begin_layout Standard
406
407 \begin_inset ERT
408 status collapsed
409
410 \begin_layout Plain Layout
411
412 \backslash
413 protect
414 \end_layout
415
416 \end_inset
417
418
419 \begin_inset Caption Standard
420
421 \begin_layout Standard
422 algorithm
423 \begin_inset CommandInset label
424 LatexCommand label
425 name "alg:algorithm"
426
427 \end_inset
428
429
430 \end_layout
431
432 \end_inset
433
434
435 \end_layout
436
437 \end_inset
438
439
440 \end_layout
441
442 \begin_layout Standard
443
444 \begin_inset CommandInset ref
445 LatexCommand formatted
446 reference "alg:algorithm"
447
448 \end_inset
449
450
451 \end_layout
452
453 \begin_layout Standard
454
455 \begin_inset Foot
456 status collapsed
457
458
459 \begin_layout Standard
460 foot
461 \begin_inset CommandInset label
462 LatexCommand label
463 name "fn:foot"
464
465 \end_inset
466
467
468 \end_layout
469
470 \end_inset
471
472
473 \end_layout
474
475 \begin_layout Standard
476
477 \begin_inset CommandInset ref
478 LatexCommand formatted
479 reference "fn:foot"
480
481 \end_inset
482
483
484 \end_layout
485
486 \begin_layout Standard
487
488 \begin_inset Marginal
489 status collapsed
490
491
492 \begin_layout Standard
493 margin
494 \begin_inset CommandInset label
495 LatexCommand label
496 name "margin"
497
498 \end_inset
499
500
501 \end_layout
502
503 \end_inset
504
505
506 \end_layout
507
508 \begin_layout Standard
509
510 \begin_inset CommandInset ref
511 LatexCommand ref
512 reference "margin"
513
514 \end_inset
515
516  
517 \end_layout
518
519 \begin_layout Enumerate
520 item
521 \begin_inset CommandInset label
522 LatexCommand label
523 name "enu:item"
524
525 \end_inset
526
527  
528 \end_layout
529
530 \begin_layout Standard
531
532 \begin_inset CommandInset ref
533 LatexCommand formatted
534 reference "enu:item"
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
557 \end_inset
558
559  
560 \end_layout
561
562 \begin_layout Lemma
563 lemma
564 \begin_inset CommandInset label
565 LatexCommand label
566 name "lem:lemma"
567
568 \end_inset
569
570
571 \end_layout
572
573 \begin_layout Lemma
574
575 \begin_inset CommandInset ref
576 LatexCommand formatted
577 reference "lem:lemma"
578
579 \end_inset
580
581
582 \end_layout
583
584 \begin_layout Theorem
585 theorem
586 \begin_inset CommandInset label
587 LatexCommand label
588 name "thm:theorem"
589
590 \end_inset
591
592
593 \end_layout
594
595 \begin_layout Theorem
596
597 \begin_inset CommandInset ref
598 LatexCommand formatted
599 reference "thm:theorem"
600
601 \end_inset
602
603
604 \end_layout
605
606 \begin_layout Corollary
607 corollary
608 \begin_inset CommandInset label
609 LatexCommand label
610 name "cor:corollary"
611
612 \end_inset
613
614
615 \end_layout
616
617 \begin_layout Corollary
618
619 \begin_inset CommandInset ref
620 LatexCommand formatted
621 reference "cor:corollary"
622
623 \end_inset
624
625
626 \end_layout
627
628 \begin_layout Proposition
629 proposition
630 \begin_inset CommandInset label
631 LatexCommand label
632 name "prop:proposition"
633
634 \end_inset
635
636
637 \end_layout
638
639 \begin_layout Proposition
640
641 \begin_inset CommandInset ref
642 LatexCommand formatted
643 reference "prop:proposition"
644
645 \end_inset
646
647
648 \end_layout
649
650 \begin_layout Conjecture
651 conjecture
652 \begin_inset CommandInset label
653 LatexCommand label
654 name "conjecture"
655
656 \end_inset
657
658
659 \end_layout
660
661 \begin_layout Conjecture
662
663 \begin_inset CommandInset ref
664 LatexCommand ref
665 reference "conjecture"
666
667 \end_inset
668
669
670 \end_layout
671
672 \begin_layout Fact
673 fact
674 \begin_inset CommandInset label
675 LatexCommand label
676 name "fact"
677
678 \end_inset
679
680
681 \end_layout
682
683 \begin_layout Fact
684
685 \begin_inset CommandInset ref
686 LatexCommand ref
687 reference "fact"
688
689 \end_inset
690
691
692 \end_layout
693
694 \begin_layout Definition
695 definition
696 \begin_inset CommandInset label
697 LatexCommand label
698 name "definition"
699
700 \end_inset
701
702
703 \end_layout
704
705 \begin_layout Definition
706
707 \begin_inset CommandInset ref
708 LatexCommand ref
709 reference "definition"
710
711 \end_inset
712
713
714 \end_layout
715
716 \begin_layout Example
717 example
718 \begin_inset CommandInset label
719 LatexCommand label
720 name "example"
721
722 \end_inset
723
724
725 \end_layout
726
727 \begin_layout Example
728
729 \begin_inset CommandInset ref
730 LatexCommand ref
731 reference "example"
732
733 \end_inset
734
735
736 \end_layout
737
738 \begin_layout Problem
739 problem
740 \begin_inset CommandInset label
741 LatexCommand label
742 name "problem"
743
744 \end_inset
745
746
747 \end_layout
748
749 \begin_layout Problem
750
751 \begin_inset CommandInset ref
752 LatexCommand ref
753 reference "problem"
754
755 \end_inset
756
757
758 \end_layout
759
760 \begin_layout Exercise
761 exercise
762 \begin_inset CommandInset label
763 LatexCommand label
764 name "exercise"
765
766 \end_inset
767
768
769 \end_layout
770
771 \begin_layout Exercise
772
773 \begin_inset CommandInset ref
774 LatexCommand ref
775 reference "exercise"
776
777 \end_inset
778
779
780 \end_layout
781
782 \begin_layout Remark
783 remark
784 \begin_inset CommandInset label
785 LatexCommand label
786 name "remark"
787
788 \end_inset
789
790
791 \end_layout
792
793 \begin_layout Remark
794
795 \begin_inset CommandInset ref
796 LatexCommand ref
797 reference "remark"
798
799 \end_inset
800
801
802 \end_layout
803
804 \begin_layout Claim
805 claim
806 \begin_inset CommandInset label
807 LatexCommand label
808 name "claim"
809
810 \end_inset
811
812
813 \end_layout
814
815 \begin_layout Claim
816
817 \begin_inset CommandInset ref
818 LatexCommand ref
819 reference "claim"
820
821 \end_inset
822
823
824 \end_layout
825
826 \begin_layout Proof
827 proof
828 \begin_inset CommandInset label
829 LatexCommand label
830 name "proof"
831
832 \end_inset
833
834
835 \end_layout
836
837 \begin_layout Proof
838
839 \begin_inset CommandInset ref
840 LatexCommand ref
841 reference "proof"
842
843 \end_inset
844
845
846 \end_layout
847
848 \end_body
849 \end_document