-#LyX 1.6.5 created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0 created this file. For more info see http://www.lyx.org/
+\lyxformat 413
\begin_document
\begin_header
\textclass scrbook
\myTOC
\mainmatter }
-% redefine the \LyX macro for PDF bookmarks
-\def\LyX{\texorpdfstring{%
- L\kern-.1667em\lower.25em\hbox{Y}\kern-.125emX\@}
- {LyX}}
-
%remove this line when bug 5291 is fixed
\@ifundefined{textcolor}{\usepackage{color}}{}
\end_preamble
-\options intoc,bibtotoc,idxtotoc,BCOR7mm,tablecaptionabove
+\options bibliography=totoc,index=totoc,BCOR7.5mm,captions=tableheading
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+\maintain_unincluded_children false
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+\language_package default
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\font_tt_scale 100
\graphics default
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+\output_sync 0
+\bibtex_command default
+\index_command default
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\spacing single
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+\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue,pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
\papersize default
\use_geometry false
\use_amsmath 1
\use_esint 0
+\use_mhchem 1
+\use_mathdots 1
\cite_engine basic
\use_bibtopic false
+\use_indices false
\paperorientation portrait
+\suppress_date false
+\use_refstyle 0
+\notefontcolor #0000ff
+\index Index
+\shortcut idx
+\color #008000
+\end_index
\secnumdepth 3
\tocdepth 2
\paragraph_separation indent
-\defskip medskip
+\paragraph_indentation default
\quotes_language german
\papercolumns 1
\papersides 2
\paperpagestyle default
\tracking_changes false
\output_changes false
-\author ""
-\author ""
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
\end_header
\begin_body
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="5">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="4">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="left" valignment="top" width="0pt">
<column alignment="right" valignment="top" width="0pt">
<column alignment="right" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="12">
-<features>
+<features tabularvalignment="middle">
<column alignment="left" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="block" valignment="top" width="6.5cm">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_layout Plain Layout
\begin_inset Formula $\left[\begin{array}{cc}
a & b\\
-c & d\end{array}\right]$
+c & d
+\end{array}\right]$
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
, alebo maticu
\begin_inset Formula $\left(\begin{array}{cc}
1 & 2\\
-3 & 4\end{array}\right)$
+3 & 4
+\end{array}\right)$
\end_inset
), pričom kurzor zostane vo výraze.
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{ccc}
\lambda_{1}\\
& \ddots\\
- & & \lambda_{n}\end{array}\right)\]
+ & & \lambda_{n}
+\end{array}\right)
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left[\frac{1}{\left(\begin{array}{cc}
2 & 3\\
-4 & 5\end{array}\right)}\right]\]
+4 & 5
+\end{array}\right)}\right]
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\sum_{n=1}^{\infty}\frac{x^{n}}{n}=\ln\left(\frac{1}{1-x}\right)\]
+\begin_inset Formula
+\[
+\sum_{n=1}^{\infty}\frac{x^{n}}{n}=\ln\left(\frac{1}{1-x}\right)
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\int_{-\infty}^{\infty}\frac{dx}{1+x^{2}}=\pi\]
+\begin_inset Formula
+\[
+\int_{-\infty}^{\infty}\frac{dx}{1+x^{2}}=\pi
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\lim_{x\rightarrow\infty}f(x)\]
+\begin_inset Formula
+\[
+\lim_{x\rightarrow\infty}f(x)
+\]
\end_inset
môžete nastaviť zarovnanie
\begin_inset Formula $\left(\begin{array}{ccc}
1 & 2 & 3\\
-45 & 67 & 89\end{array}\right)$
+45 & 67 & 89
+\end{array}\right)$
\end_inset
.
Kliknutím na ďalšie tlačítko (keď ste v čistom texte) vytvoríte novú oblasť
na zadanie matematického výrazu.
Ta je vytvorená na novom riadku a vycentrovaná:
-\begin_inset Formula \[
-1+2=3\]
+\begin_inset Formula
+\[
+1+2=3
+\]
\end_inset
\end_inset
, inak to bude takéto:
-\begin_inset Formula \[
-\lim_{x\rightarrow0}f(x)=L\]
+\begin_inset Formula
+\[
+\lim_{x\rightarrow0}f(x)=L
+\]
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
).
Napríklad týmto spôsobom urobíte zátvorky okolo štandard\SpecialChar \-
nej matice:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{cc}
1 & 2\\
-3 & 4\end{array}\right)\]
+3 & 4
+\end{array}\right)
+\]
\end_inset
A lepšie zviditeľníte úrovne zátvoriek v takomto hnusobstve:
-\begin_inset Formula \[
-\frac{1}{\left(1+\left(\frac{1}{1+\left(\frac{1}{1+x}\right)}\right)\right)}\]
+\begin_inset Formula
+\[
+\frac{1}{\left(1+\left(\frac{1}{1+\left(\frac{1}{1+x}\right)}\right)\right)}
+\]
\end_inset
alebo:
-\begin_inset Formula \[
-f\left(g\left(h\left(k\left(l\left(x\right)\right)\right)\right)\right)\]
+\begin_inset Formula
+\[
+f\left(g\left(h\left(k\left(l\left(x\right)\right)\right)\right)\right)
+\]
\end_inset
na paneli matematických nástrojov, ktoré vám zobrazí okno kde si zadáte
počet riadkov a stĺpcov matice.
Tu je príklad:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{ccc}
1 & 2 & 3\\
4 & 5 & 6\\
-7 & 8 & 9\end{array}\right)\]
+7 & 8 & 9
+\end{array}\right)
+\]
\end_inset
\end_inset
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{array}{lcr}
stlpec & stlpec & tento\\
zarovnany & je & je\, zarovnany\\
-nalavo & vycentrovany & doprava\end{array}\]
+nalavo & vycentrovany & doprava
+\end{array}
+\]
\end_inset
\emph toggle
robí).
Tu je príklad:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
f(x)=\left\{ \begin{array}{cl}
\frac{1}{q}, & \mathrm{ak}\, x=\frac{p}{q}\\
-0, & \mathrm{ak}\, x\,\mathrm{je}\,\mathrm{iracionalne}\end{array}\right.\]
+0, & \mathrm{ak}\, x\,\mathrm{je}\,\mathrm{iracionalne}
+\end{array}\right.
+\]
\end_inset
Každý riadok je potom rozdelený na tri oblasti, v ktorých sa môžete pohybovať
myšou, šípkami, alebo tabulátorom.
Tu je príklad:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
3 & = & 1+2\\
-4+5 & = & 9\end{eqnarray*}
+4+5 & = & 9
+\end{eqnarray*}
\end_inset
Číslovanie rovníc je v LyXe veľmi jednoduché.
Všetko, čo musíte urobiť, ak chcete zmeniť rovnicu ako napríklad:
-\begin_inset Formula \[
-1+2=3\]
+\begin_inset Formula
+\[
+1+2=3
+\]
\end_inset
na číslovanú rovnicu:
-\begin_inset Formula \begin{equation}
-1+2=3\label{mathed:prva_rovnica}\end{equation}
+\begin_inset Formula
+\begin{equation}
+1+2=3\label{mathed:prva_rovnica}
+\end{equation}
\end_inset
.
Kurzor musí byť umiestnený v rovnici.
Príklad:
-\begin_inset Formula \begin{equation}
-1+1=2\end{equation}
+\begin_inset Formula
+\begin{equation}
+1+1=2
+\end{equation}
\end_inset
).
Toto návestie si môžete zmeniť, aby ste sa mohli na daný riadok odkazovať.
-\begin_inset Formula \begin{eqnarray}
+\begin_inset Formula
+\begin{eqnarray}
1 & = & 4-3\label{mathed:druha_rovnica}\\
2 & = & 7-5\\
1 & = & e^{2\pi i}\\
-16 & = & 2\,(mod\,7)\label{mathed:tertia_rovnica}\end{eqnarray}
+16 & = & 2\,(mod\,7)\label{mathed:tertia_rovnica}
+\end{eqnarray}
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\end_layout
\begin_layout Standard
+\noindent
+\begin_inset CommandInset line
+LatexCommand rule
+offset "0.5ex"
+width "100line%"
+height "1pt"
+
+\end_inset
-\lyxline
\end_layout
\end_layout
\begin_layout Bibliography
+\labelwidthstring Bibliografia
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "lyxcredit"
\end_layout
\begin_layout Bibliography
+\labelwidthstring Bibliografia
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "latexbook"
\end_layout
\begin_layout Bibliography
+\labelwidthstring Bibliografia
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "latexcompanion"
\end_layout
\begin_layout Bibliography
+\labelwidthstring Bibliografia
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "latexguide"
\end_layout
\begin_layout Bibliography
+\labelwidthstring Bibliografia
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "texbook"