-#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
-\lyxformat 401
+#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,bibliography=totoc,index=totoc,BCOR7.5mm,captions=tableheading
+\options bibliography=totoc,index=totoc,BCOR7.5mm,captions=tableheading
\use_default_options false
\maintain_unincluded_children false
\language slovak
+\language_package default
\inputencoding auto
\fontencoding global
\font_roman default
\font_sans default
\font_typewriter default
\font_default_family default
-\use_xetex false
+\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100
\use_indices false
\paperorientation portrait
\suppress_date false
+\use_refstyle 0
+\notefontcolor #0000ff
\index Index
\shortcut idx
\color #008000
\tracking_changes false
\output_changes false
\html_math_output 0
+\html_css_as_file 0
\html_be_strict false
\end_header
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{ccc}
\lambda_{1}\\
& \ddots\\
& & \lambda_{n}
-\end{array}\right)\]
+\end{array}\right)
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left[\frac{1}{\left(\begin{array}{cc}
2 & 3\\
4 & 5
-\end{array}\right)}\right]\]
+\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
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
).
Napríklad týmto spôsobom urobíte zátvorky okolo štandard\SpecialChar \-
nej matice:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{cc}
1 & 2\\
3 & 4
-\end{array}\right)\]
+\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
+\[
\left(\begin{array}{ccc}
1 & 2 & 3\\
4 & 5 & 6\\
7 & 8 & 9
-\end{array}\right)\]
+\end{array}\right)
+\]
\end_inset
\end_inset
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{array}{lcr}
stlpec & stlpec & tento\\
zarovnany & je & je\, zarovnany\\
nalavo & vycentrovany & doprava
-\end{array}\]
+\end{array}
+\]
\end_inset
\emph toggle
robí).
Tu je príklad:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
f(x)=\left\{ \begin{array}{cl}
\frac{1}{q}, & \mathrm{ak}\, x=\frac{p}{q}\\
0, & \mathrm{ak}\, x\,\mathrm{je}\,\mathrm{iracionalne}
-\end{array}\right.\]
+\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*}
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}\\