1 #LyX file created by tex2lyx 2.2
8 %% Do not edit unless you really know what you are doing.
13 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
15 \AtBeginDocument{\providecommand\partref[1]{\ref{part:#1}}}
16 \AtBeginDocument{\providecommand\chapref[1]{\ref{chap:#1}}}
17 \AtBeginDocument{\providecommand\secref[1]{\ref{sec:#1}}}
18 \AtBeginDocument{\providecommand\subsecref[1]{\ref{subsec:#1}}}
19 \AtBeginDocument{\providecommand\parref[1]{\ref{par:#1}}}
20 \AtBeginDocument{\providecommand\figref[1]{\ref{fig:#1}}}
21 \AtBeginDocument{\providecommand\tabref[1]{\ref{tab:#1}}}
22 \AtBeginDocument{\providecommand\algref[1]{\ref{alg:#1}}}
23 \AtBeginDocument{\providecommand\fnref[1]{\ref{fn:#1}}}
24 \AtBeginDocument{\providecommand\enuref[1]{\ref{enu:#1}}}
25 \AtBeginDocument{\providecommand\eqref[1]{\ref{eq:#1}}}
26 \AtBeginDocument{\providecommand\lemref[1]{\ref{lem:#1}}}
27 \AtBeginDocument{\providecommand\thmref[1]{\ref{thm:#1}}}
28 \AtBeginDocument{\providecommand\corref[1]{\ref{cor:#1}}}
29 \AtBeginDocument{\providecommand\propref[1]{\ref{prop:#1}}}
31 \newfloat{algorithm}{tbp}{loa}[chapter]
32 \providecommand{\algorithmname}{Algorithm}
33 \floatname{algorithm}{\protect\algorithmname}
34 \RS@ifundefined{subsecref}{\newref{subsec}{name = \RSsectxt}}{}
35 \RS@ifundefined{thmref}{\def\RSthmtxt{theorem~}\newref{thm}{name = \RSthmtxt}}{}
36 \RS@ifundefined{lemref}{\def\RSlemtxt{lemma~}\newref{lem}{name = \RSlemtxt}}{}
39 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Textclass specific LaTeX commands.
41 \newtheorem{lem}[thm]{\protect\lemmaname}\theoremstyle{plain}
42 \newtheorem{cor}[thm]{\protect\corollaryname}\theoremstyle{plain}
43 \newtheorem{prop}[thm]{\protect\propositionname}\theoremstyle{plain}
44 \newtheorem{conjecture}[thm]{\protect\conjecturename}\theoremstyle{plain}
45 \newtheorem{fact}[thm]{\protect\factname}\theoremstyle{definition}
46 \newtheorem{defn}[thm]{\protect\definitionname}\theoremstyle{definition}
47 \newtheorem{example}[thm]{\protect\examplename}\theoremstyle{definition}
48 \newtheorem{problem}[thm]{\protect\problemname}\theoremstyle{definition}
49 \newtheorem{xca}[thm]{\protect\exercisename}\theoremstyle{remark}
50 \newtheorem{rem}[thm]{\protect\remarkname}\theoremstyle{remark}
51 \newtheorem{claim}[thm]{\protect\claimname}\ifx\proof\undefined
52 \newenvironment{proof}[1][\protect\proofname]{\par
53 \normalfont\topsep6\p@\@plus6\p@\relax
56 \item[\hskip\labelsep\scshape #1]\ignorespaces
58 \endtrivlist\@endpefalse
60 \providecommand{\proofname}{Proof}
66 \providecommand{\claimname}{Claim}
67 \providecommand{\conjecturename}{Conjecture}
68 \providecommand{\corollaryname}{Corollary}
69 \providecommand{\definitionname}{Definition}
70 \providecommand{\examplename}{Example}
71 \providecommand{\exercisename}{Exercise}
72 \providecommand{\factname}{Fact}
73 \providecommand{\lemmaname}{Lemma}
74 \providecommand{\problemname}{Problem}
75 \providecommand{\propositionname}{Proposition}
76 \providecommand{\remarkname}{Remark}
77 \providecommand{\theoremname}{Theorem}
81 \use_default_options false
85 \maintain_unincluded_children false
87 \language_package default
88 \inputencoding iso8859-15
92 \font_typewriter default
94 \font_default_family default
95 \use_non_tex_fonts false
101 \default_output_format default
103 \bibtex_command default
104 \index_command default
105 \paperfontsize default
110 \use_package amsmath 1
111 \use_package amssymb 0
112 \use_package cancel 0
114 \use_package mathdots 0
115 \use_package mathtools 0
116 \use_package mhchem 0
117 \use_package stackrel 0
118 \use_package stmaryrd 0
119 \use_package undertilde 0
121 \cite_engine_type default
125 \paperorientation portrait
135 \paragraph_separation indent
136 \paragraph_indentation default
137 \quotes_language english
140 \paperpagestyle default
141 \tracking_changes false
142 \output_changes false
145 \html_be_strict false
152 \begin_inset CommandInset label
161 \begin_layout Standard
163 \begin_inset CommandInset ref
164 LatexCommand formatted
165 reference "part:part"
172 \begin_layout Chapter
174 \begin_inset CommandInset label
183 \begin_layout Standard
185 \begin_inset CommandInset ref
186 LatexCommand formatted
187 reference "chap:chapter"
194 \begin_layout Section
196 \begin_inset CommandInset label
205 \begin_layout Standard
207 \begin_inset CommandInset ref
208 LatexCommand formatted
209 reference "sec:Section"
216 \begin_layout Subsection
218 \begin_inset CommandInset label
220 name "subsec:subsection"
227 \begin_layout Standard
229 \begin_inset CommandInset ref
230 LatexCommand formatted
231 reference "subsec:subsection"
238 \begin_layout Subsubsection
240 \begin_inset CommandInset label
242 name "subsec:Subsubsection"
249 \begin_layout Standard
251 \begin_inset CommandInset ref
252 LatexCommand formatted
253 reference "subsec:Subsubsection"
260 \begin_layout Paragraph
262 \begin_inset CommandInset label
271 \begin_layout Standard
273 \begin_inset CommandInset ref
274 LatexCommand formatted
275 reference "par:paragraph"
282 \begin_layout Subparagraph
284 \begin_inset CommandInset label
286 name "par:subparagraph"
293 \begin_layout Standard
295 \begin_inset CommandInset ref
296 LatexCommand formatted
297 reference "par:subparagraph"
304 \begin_layout Standard
306 \begin_inset Float figure
312 \begin_layout Standard
317 \begin_layout Plain Layout
326 \begin_inset Caption Standard
328 \begin_layout Plain Layout
330 \begin_inset CommandInset label
349 \begin_layout Standard
351 \begin_inset CommandInset ref
352 LatexCommand formatted
353 reference "fig:figure"
360 \begin_layout Standard
362 \begin_inset Float table
368 \begin_layout Standard
373 \begin_layout Plain Layout
382 \begin_inset Caption Standard
384 \begin_layout Plain Layout
386 \begin_inset CommandInset label
405 \begin_layout Standard
407 \begin_inset CommandInset ref
408 LatexCommand formatted
409 reference "tab:table"
416 \begin_layout Standard
418 \begin_inset Float algorithm
424 \begin_layout Standard
429 \begin_layout Plain Layout
438 \begin_inset Caption Standard
440 \begin_layout Plain Layout
442 \begin_inset CommandInset label
461 \begin_layout Standard
463 \begin_inset CommandInset ref
464 LatexCommand formatted
465 reference "alg:algorithm"
472 \begin_layout Standard
478 \begin_layout Standard
480 \begin_inset CommandInset label
494 \begin_layout Standard
496 \begin_inset CommandInset ref
497 LatexCommand formatted
505 \begin_layout Standard
507 \begin_inset Marginal
511 \begin_layout Standard
513 \begin_inset CommandInset label
527 \begin_layout Standard
529 \begin_inset CommandInset ref
538 \begin_layout Enumerate
540 \begin_inset CommandInset label
549 \begin_layout Standard
551 \begin_inset CommandInset ref
552 LatexCommand formatted
560 \begin_layout Standard
562 \begin_inset Formula \begin{equation}
563 A=B\label{eq:A=00003DB}
570 \begin_layout Standard
572 \begin_inset CommandInset ref
573 LatexCommand formatted
574 reference "eq:A=00003DB"
583 \begin_inset CommandInset label
594 \begin_inset CommandInset ref
595 LatexCommand formatted
596 reference "lem:lemma"
603 \begin_layout Theorem
605 \begin_inset CommandInset label
614 \begin_layout Theorem
616 \begin_inset CommandInset ref
617 LatexCommand formatted
618 reference "thm:theorem"
625 \begin_layout Corollary
627 \begin_inset CommandInset label
636 \begin_layout Corollary
638 \begin_inset CommandInset ref
639 LatexCommand formatted
640 reference "cor:corollary"
647 \begin_layout Proposition
649 \begin_inset CommandInset label
651 name "prop:proposition"
658 \begin_layout Proposition
660 \begin_inset CommandInset ref
661 LatexCommand formatted
662 reference "prop:proposition"
669 \begin_layout Conjecture
671 \begin_inset CommandInset label
680 \begin_layout Conjecture
682 \begin_inset CommandInset ref
684 reference "conjecture"
693 \begin_inset CommandInset label
704 \begin_inset CommandInset ref
713 \begin_layout Definition
715 \begin_inset CommandInset label
724 \begin_layout Definition
726 \begin_inset CommandInset ref
728 reference "definition"
735 \begin_layout Example
737 \begin_inset CommandInset label
746 \begin_layout Example
748 \begin_inset CommandInset ref
757 \begin_layout Problem
759 \begin_inset CommandInset label
768 \begin_layout Problem
770 \begin_inset CommandInset ref
779 \begin_layout Exercise
781 \begin_inset CommandInset label
790 \begin_layout Exercise
792 \begin_inset CommandInset ref
803 \begin_inset CommandInset label
814 \begin_inset CommandInset ref
825 \begin_inset CommandInset label
836 \begin_inset CommandInset ref
847 \begin_inset CommandInset label
858 \begin_inset CommandInset ref