01ALG:Header: Porovnání verzí

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Řádka 1: Řádka 1:
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%VZOROVE SOUBORY
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 +
%%CSLATEX
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%\documentclass[12pt]{article}
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%\listfiles
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%\usepackage[IL2]{czech}
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%\usepackage{graphics}
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%\pagestyle{plain}
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%\title{N?ZEV}
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%\author{AUTOR}
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%%\date{18. b?ezna 2003}
 +
%\input{u_text}
 +
%\begin{document}
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%
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%
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%\end{document}
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 +
 +
\newcommand{\te}[2]{\begin{#1}#2\end{#1}} %prostredi
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%Preambule
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\newlength{\itsmyownlength}
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 +
%Znaky
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\newcommand{\ii}{\'\i}
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\newcommand{\io}{\' o}
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\newcommand{\iy}{\' y}
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\newcommand{\uu}{\r u}
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\newcommand{\vd}{\v d}
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\newcommand{\ve}{\v e}
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\newcommand{\vn}{\v n}
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\newcommand{\vr}{\v r}
 +
\newcommand{\vs}{\v s}
 +
\newcommand{\vt}{\v t}
 +
\newcommand{\vz}{\v z}
 +
\newcommand{\IA}{\' A}
 +
\newcommand{\IE}{\' E}
 +
\newcommand{\II}{\' I}
 +
\newcommand{\IO}{\' O}
 +
\newcommand{\IU}{\' U}
 +
\newcommand{\IY}{\' Y}
 +
\newcommand{\UU}{\r U}
 +
\newcommand{\VC}{\v C}
 +
\newcommand{\VD}{\v D}
 +
\newcommand{\VE}{\v E}
 +
\newcommand{\VN}{\v N}
 +
\newcommand{\VR}{\v R}
 +
\newcommand{\VS}{\v S}
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\newcommand{\VT}{\v T}
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\newcommand{\acos}{\mathfunction{acos}}
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\newcommand{\atg}{\mathfunction{atg}}
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\newcommand{\tgh}{\mathfunction{tgh}}
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\newcommand{\cotgh}{\mathfunction{cotgh}}
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\newcommand{\tg}{\mathfunction{tg}}
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\newcommand{\cotg}{\mathfunction{cotg}}
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\newcommand{\arctg}{\mathfunction{arctg}}
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\newcommand{\arccotg}{\mathfunction{arccotg}}
 +
\newcommand{\argtgh}{\mathfunction{argtgh}}
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\newcommand{\argcotgh}{\mathfunction{argcotgh}}
 +
\newcommand{\cosec}{\mathfunction{cosec}}
 +
\newcommand{\arcsec}{\mathfunction{arcsec}}
 +
\newcommand{\arccosec}{\mathfunction{arccosec}}
 +
\newcommand{\sech}{\mathfunction{sech}}
 +
\newcommand{\cosech}{\mathfunction{cosech}}
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\newcommand{\argsech}{\mathfunction{argsech}}
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\newcommand{\argcosech}{\mathfunction{argcosech}}
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\newcommand{\arc}{\mathfunction{arc}}
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\newcommand{\ROT}{\mathfunction{rot}}
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\newcommand{\jmathrm}{\symbol{17}}
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%Prikazy prostredi
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 +
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 +
\newcommand{\tpicture}[8][thbp]{\te{figure}{[#1] \setlength{\unitlength}{1mm}\center{\te{picture}{(#2,#3)(#4,#5){#8}}}\caption{#6}\label{#7}}}
 +
%plovouci obrazek. Parametry:
 +
%#1 umisteni
 +
%#2,#3 rozmery
 +
%#4,#5 levy dolni roh
 +
%#6 nazev
 +
%#7 label
 +
%#8 aktivni prikazy obrazku
 +
 +
\newcommand{\qlq}[1]{\qquad\ldots\qquad} %navazani definice
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\newcommand{\qlb}[1]{\ensuremath{\left({#1}\right)}} %velka ohraniceni vyrazu
 +
\newcommand{\qz}[1]{\par {\footnotesize\sf #1}\x\\ } %odstavec malym pismem
 +
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 +
\newcommand{\qq}[1]{$${#1}$$} %vysazeny vzorec s implicitnim navestim
 +
\newcommand{\qu}[1]{\qquad\left| #1\right.} %prikaz v mat. protredi pro upravu rovnice
 +
\newcommand{\mo}[1][]{\raisebox{1ex}{\scriptsize o}#1} %stupne ...
 +
\newcommand{\ttitle}[1]{\te{center}{\LARGE\sf {#1}}}
 +
\newcommand{\ttab}[1]{\te{tabbing}{{#1}}} %tabulka
 +
\newcommand{\tcal}[1]{$\mathcal{#1}$} %caligraficke pismo v textu
 +
\newcommand{\tbf}[1]{{\bf #1}} %tucne
 +
\newcommand{\tit}[1]{{\it #1}} %kurziva
 +
\newcommand{\trm}[1]{{\rm #1}} %normalne
 +
\newcommand{\tulsl}[1]{\tul{\sl{#1}}} %podtrzena kurziva
 +
\newcommand{\tul}[1]{\underline{#1}} %podtrzene
 +
\newcommand{\tuul}[1]{\tul{\tul{#1}}} %dvojte podtryene
 +
\newcommand{\tsc}[1]{{\sc #1}} %kapitalky
 +
\newcommand{\tsf}[1]{{\sf #1}} %grotesk
 +
\newcommand{\tsl}[1]{{\sl #1}\/} %sklonene
 +
\newcommand{\tam}[2][]{\te{tabular}{[#1]{l}{#2}}} %textove pole
 +
\newcommand{\tram}[2][]{\te{tabular}{[#1]{|l|}\hline {#2} \\\hline}} %ramecek
 +
\newcommand{\trram}[2][]{\te{tabular}{[#1]{||l||}\hline\hline {#2} \\\hline\hline}} %dvojity ramecek
 +
\newcommand{\ttram}[2][]{\te{tabular}{[#1]{|p{.98\textwidth}|}\hline {#2} \\\hline}} %ramecek na sirku strany
 +
\newcommand{\ttrram}[2][]{\te{tabular}{[#1]{||p{.98\textwidth}||}\hline\hline #2 \\\hline\hline}} %dvojity ramacek na sirku strany
 +
\newcommand{\mb}[1]{$\displaystyle {#1}$}
 +
\newcommand{\mab}[1]{\tam{$\displaystyle {#1}$}}
 +
\newcommand{\mrab}[1]{\fbox{$\displaystyle {#1}$}}
 +
\newcommand{\tvers}[1]{\te{verse}{#1}} %vers
 +
\newcommand{\tenum}[1][1]{\addtocounter{tenumcounter}{#1} \arabic{tenumcounter}} %+radova cislovka
 +
\newcommand{\tenumset}[1][0]{\setcounter{tenumcounter}{#1} \arabic{tenumcounter}} %radova cislovka
 +
\newcommand{\tuv}[1]{\uv{{#1}}} %ceske uvozovky
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\newcommand{\tnR}[1]{\setcounter{myowncounter}{#1}\Roman{myowncounter}} %velka rimska cislovka
 +
\newcommand{\tna}[1]{\setcounter{myowncounter}{#1}\arabic{myowncounter}} %radova cislovka
 +
\def\tc#1{{\Large\sf #1}}
 +
\newcommand{\mm}[1]{\mathrm{#1}} %text ve vzorci
 +
\newcommand{\mder}[2]{\frac{\md #1}{\md #2}} %derivace
 +
\newcommand{\mint}[2]{\int#1\,\md#2} %integral
 +
\newcommand{\overfrown}[1]{\stackrel{\frown}{{#1}}}
 +
\newcommand{\mintu}[4]{\int\limits_{#1}^{#2}#3\,\md#4} %urcity integral
 +
\newcommand{\sbod}[1]{{\x ---\x{#1}}\\}
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 +
 +
%Fyzikalni olympiada
 +
\newcommand{\hlavicka}[9]{\te{tabular}{{ll}Jm?no a p??jmen? : {\bf #1} & Ro?n?k: {\bf #6} \\ ?kola: {\bf #2} & ?loha: {\bf {#7}-{#8}-{#9}} \\ {\bf #3} & Posudek:\\
 +
T??da: {\bf #4}\\ Vyu?uj?c? fyziky: {\bf #5} & Posuzoval:}\\[1ex]\hlinefill\\[1ex]}
 +
\newcommand{\zadani}[2]{{\it \sc #1}\\ {\footnotesize #2}\\\\ }
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 +
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
 
\def\TWOCOLUMN{
 
\def\TWOCOLUMN{
Řádka 200: Řádka 401:
 
\title{Zápisky z~Algebry}
 
\title{Zápisky z~Algebry}
 
\author{Tomáš Hejda}
 
\author{Tomáš Hejda}
 
 
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 
 
%VZOROVE SOUBORY
 
 
%%CSLATEX
 
%\documentclass[12pt]{article}
 
%\listfiles
 
%\usepackage[IL2]{czech}
 
%\usepackage{graphics}
 
%\pagestyle{plain}
 
%\title{N?ZEV}
 
%\author{AUTOR}
 
%%\date{18. b?ezna 2003}
 
%\input{u_text}
 
%\begin{document}
 
%
 
%
 
%\end{document}
 
 
 
\newcommand{\te}[2]{\begin{#1}#2\end{#1}} %prostredi
 
 
%Preambule
 
\newcommand{\setjot}[1][1.5ex]{\setlength{\jot}{#1}}
 
\newcounter{alphlistcounter}
 
\newlength{\itsmyownlength}
 
\setcounter{alphlistcounter}{0}
 
 
%Znaky
 
\newcommand{\ia}{\' a}
 
\newcommand{\ie}{\' e}
 
\newcommand{\ii}{\'\i}
 
\newcommand{\io}{\' o}
 
\newcommand{\iu}{\' u}
 
\newcommand{\iy}{\' y}
 
\newcommand{\uu}{\r u}
 
\newcommand{\vc}{\v c}
 
\newcommand{\vd}{\v d}
 
\newcommand{\ve}{\v e}
 
\newcommand{\vn}{\v n}
 
\newcommand{\vr}{\v r}
 
\newcommand{\vs}{\v s}
 
\newcommand{\vt}{\v t}
 
\newcommand{\vz}{\v z}
 
\newcommand{\IA}{\' A}
 
\newcommand{\IE}{\' E}
 
\newcommand{\II}{\' I}
 
\newcommand{\IO}{\' O}
 
\newcommand{\IU}{\' U}
 
\newcommand{\IY}{\' Y}
 
\newcommand{\UU}{\r U}
 
\newcommand{\VC}{\v C}
 
\newcommand{\VD}{\v D}
 
\newcommand{\VE}{\v E}
 
\newcommand{\VN}{\v N}
 
\newcommand{\VR}{\v R}
 
\newcommand{\VS}{\v S}
 
\newcommand{\VT}{\v T}
 
\newcommand{\VZ}{\v Z}
 
\newcommand{\ax}{a~}
 
\newcommand{\ix}{i~}
 
\newcommand{\kx}{k~}
 
\newcommand{\ox}{o~}
 
\newcommand{\sx}{s~}
 
\newcommand{\ux}{u~}
 
\newcommand{\vx}{v~}
 
\newcommand{\zx}{z~}
 
\newcommand{\bs}{\char47}
 
\newcommand{\x}{~}
 
\newcommand{\tilda}{\~ }
 
\newcommand{\xl}{\\*}
 
\newcommand{\xx}{\x\\ }
 
\newcommand{\puntik}{\textbullet }
 
\newcommand{\ctverecek}{{\rule[0.3ex]{1ex}{1ex}}}
 
\newcommand{\pom}{---\x }
 
\def\mathfunction#1{\mathop {\mathgroup \symoperators #1}\nolimits }
 
\newcommand{\asin}{\mathfunction{asin}}
 
\newcommand{\acos}{\mathfunction{acos}}
 
\newcommand{\atg}{\mathfunction{atg}}
 
\newcommand{\tgh}{\mathfunction{tgh}}
 
\newcommand{\cotgh}{\mathfunction{cotgh}}
 
\newcommand{\tg}{\mathfunction{tg}}
 
\newcommand{\cotg}{\mathfunction{cotg}}
 
\newcommand{\arctg}{\mathfunction{arctg}}
 
\newcommand{\arccotg}{\mathfunction{arccotg}}
 
\newcommand{\argtgh}{\mathfunction{argtgh}}
 
\newcommand{\argcotgh}{\mathfunction{argcotgh}}
 
\newcommand{\cosec}{\mathfunction{cosec}}
 
\newcommand{\arcsec}{\mathfunction{arcsec}}
 
\newcommand{\arccosec}{\mathfunction{arccosec}}
 
\newcommand{\sech}{\mathfunction{sech}}
 
\newcommand{\cosech}{\mathfunction{cosech}}
 
\newcommand{\argsech}{\mathfunction{argsech}}
 
\newcommand{\argcosech}{\mathfunction{argcosech}}
 
\newcommand{\arc}{\mathfunction{arc}}
 
\newcommand{\ROT}{\mathfunction{rot}}
 
\newcommand{\DIV}{\mathfunction{div}}
 
\newcommand{\md}{\mathrm{d}}
 
\newcommand{\mmd}{{\,\md}}
 
\newcommand{\mx}{\cdot}
 
\newcommand{\imathrm}{\symbol{16}}
 
\newcommand{\jmathrm}{\symbol{17}}
 
\newcommand{\convexangle}{\! <\!\!\! )\,}
 
\newcommand{\qk}[1][1]{{\; |\;}} %v mnozinach znak uvozujici vlastnosti
 
\newcommand{\prumer}{\not\kern-.12em\circ\kern.1em}
 
\newcommand{\hlinefill}{\noindent$\underline{}$\hrulefill $\underline{}$}
 
\newcommand{\msi}{\ensuremath{\,m\cdot s^{-1}}}
 
\newcommand{\msii}{\ensuremath{\,m\cdot s^{-2}}}
 
\newcommand{\specialfootnotemark}{\addtocounter{footnote}{1}\mui\thefootnote}
 
\def\nothing#1{{}}
 
%Prikazy prostredi
 
 
\newcommand{\minimizeleftrightborders}{\setlength{\itsmyownlength}{\oddsidemargin}\setlength{\oddsidemargin}{-.5in}\addtolength{\textwidth}{3\itsmyownlength}}
 
 
\newcommand{\minimizeupdownborders}{\addtolength{\topmargin}{-1in}\addtolength{\textheight}{1.5in}}
 
 
\newcommand{\minimizeborders}{\minimizeleftrightborders\minimizeupdownborders}
 
 
\newcommand{\tpicture}[8][thbp]{\te{figure}{[#1] \setlength{\unitlength}{1mm}\center{\te{picture}{(#2,#3)(#4,#5){#8}}}\caption{#6}\label{#7}}}
 
%plovouci obrazek. Parametry:
 
%#1 umisteni
 
%#2,#3 rozmery
 
%#4,#5 levy dolni roh
 
%#6 nazev
 
%#7 label
 
%#8 aktivni prikazy obrazku
 
 
\newcommand{\qlq}[1]{\qquad\ldots\qquad} %navazani definice
 
\newcommand{\qlr}[3]{\ensuremath{\left#1{#3}\right#2}} %velka ohraniceni vyrazu
 
\newcommand{\qlb}[1]{\ensuremath{\left({#1}\right)}} %velka ohraniceni vyrazu
 
\newcommand{\qz}[1]{\par {\footnotesize\sf #1}\x\\ } %odstavec malym pismem
 
\newcommand{\qe}[2]{\te{equation}{\label{#1}#2}} %vysazeny vzorec
 
\newcommand{\qq}[1]{$${#1}$$} %vysazeny vzorec s implicitnim navestim
 
\newcommand{\qu}[1]{\qquad\left| #1\right.} %prikaz v mat. protredi pro upravu rovnice
 
\newcommand{\mo}[1][]{\raisebox{1ex}{\scriptsize o}#1} %stupne ...
 
\newcommand{\ttitle}[1]{\te{center}{\LARGE\sf {#1}}}
 
\newcommand{\ttab}[1]{\te{tabbing}{{#1}}} %tabulka
 
\newcommand{\tcal}[1]{$\mathcal{#1}$} %caligraficke pismo v textu
 
\newcommand{\tbf}[1]{{\bf #1}} %tucne
 
\newcommand{\tit}[1]{{\it #1}} %kurziva
 
\newcommand{\trm}[1]{{\rm #1}} %normalne
 
\newcommand{\tulsl}[1]{\tul{\sl{#1}}} %podtrzena kurziva
 
\newcommand{\tul}[1]{\underline{#1}} %podtrzene
 
\newcommand{\tuul}[1]{\tul{\tul{#1}}} %dvojte podtryene
 
\newcommand{\tsc}[1]{{\sc #1}} %kapitalky
 
\newcommand{\tsf}[1]{{\sf #1}} %grotesk
 
\newcommand{\tsl}[1]{{\sl #1}\/} %sklonene
 
\newcommand{\tam}[2][]{\te{tabular}{[#1]{l}{#2}}} %textove pole
 
\newcommand{\tram}[2][]{\te{tabular}{[#1]{|l|}\hline {#2} \\\hline}} %ramecek
 
\newcommand{\trram}[2][]{\te{tabular}{[#1]{||l||}\hline\hline {#2} \\\hline\hline}} %dvojity ramecek
 
\newcommand{\ttram}[2][]{\te{tabular}{[#1]{|p{.98\textwidth}|}\hline {#2} \\\hline}} %ramecek na sirku strany
 
\newcommand{\ttrram}[2][]{\te{tabular}{[#1]{||p{.98\textwidth}||}\hline\hline #2 \\\hline\hline}} %dvojity ramacek na sirku strany
 
\newcommand{\mb}[1]{$\displaystyle {#1}$}
 
\newcommand{\mab}[1]{\tam{$\displaystyle {#1}$}}
 
\newcommand{\mrab}[1]{\fbox{$\displaystyle {#1}$}}
 
\newcommand{\tvers}[1]{\te{verse}{#1}} %vers
 
\newcommand{\tenum}[1][1]{\addtocounter{tenumcounter}{#1} \arabic{tenumcounter}} %+radova cislovka
 
\newcommand{\tenumset}[1][0]{\setcounter{tenumcounter}{#1} \arabic{tenumcounter}} %radova cislovka
 
\newcommand{\tuv}[1]{\uv{{#1}}} %ceske uvozovky
 
\newcommand{\tnR}[1]{\setcounter{myowncounter}{#1}\Roman{myowncounter}} %velka rimska cislovka
 
\newcommand{\tna}[1]{\setcounter{myowncounter}{#1}\arabic{myowncounter}} %radova cislovka
 
\def\tc#1{{\Large\sf #1}}
 
\newcommand{\mm}[1]{\mathrm{#1}} %text ve vzorci
 
\newcommand{\mder}[2]{\frac{\md #1}{\md #2}} %derivace
 
\newcommand{\mint}[2]{\int#1\,\md#2} %integral
 
\newcommand{\overfrown}[1]{\stackrel{\frown}{{#1}}}
 
\newcommand{\mintu}[4]{\int\limits_{#1}^{#2}#3\,\md#4} %urcity integral
 
\newcommand{\sbod}[1]{{\x ---\x{#1}}\\}
 
\newcommand{\mui}[1]{\ensuremath{^\mathrm{#1}}}
 
\newcommand{\mdi}[1]{\ensuremath{_\mathrm{#1}}}
 
\newcommand{\alphitem}[1]{\addtocounter{alphlistcounter}{1}\alph{alphlistcounter} & \te{minipage}{[t]{.95\textwidth}{#1}} \\[1ex]}
 
\newcommand{\alphlist}[1]{\setcounter{alphlistcounter}{0}\te{tabular}{{r@{)\kern1em}l} #1 }}
 
\newcommand{\tss}{\kern0.3em}
 
\newcommand{\tsm}{\kern0.6em}
 
\newcommand{\tsb}{\kern0.9em}
 
\newcommand{\tabl}{\\\hline}
 
\newcommand{\parag}[1]{\paragraph{{#1}}\setlength{\itsmyownlength}{\parindent}\addtolength{\itsmyownlength}{-0.8ex}\x\\\rule{\itsmyownlength}{0ex}}
 
 
 
%Fyzikalni olympiada
 
\newcommand{\hlavicka}[9]{\te{tabular}{{ll}Jm?no a p??jmen? : {\bf #1} & Ro?n?k: {\bf #6} \\ ?kola: {\bf #2} & ?loha: {\bf {#7}-{#8}-{#9}} \\ {\bf #3} & Posudek:\\
 
T??da: {\bf #4}\\ Vyu?uj?c? fyziky: {\bf #5} & Posuzoval:}\\[1ex]\hlinefill\\[1ex]}
 
\newcommand{\zadani}[2]{{\it \sc #1}\\ {\footnotesize #2}\\\\ }
 
\newcommand{\zadanii}[1]{{\footnotesize #1}\\\\ }
 
\newcommand{\odpoved}[3]{\large {\sc #1}\ {\bf $#2$}\ {\sc #3}.\\ }
 
 
 
 
 
 
\newcommand{\tqdl}{\textquotedblleft}
 
\newcommand{\tqdr}{\textquotedblright}
 
\newcommand{\tqdb}{\quotedblbase}
 
\newcommand{\FyGyZ}{FyGyZ}
 
\newcommand{\TuF}{{\v T\kern-0.1em\lower0.05em\hbox{\sc u}\kern-0.19em F}}
 
\newcommand{\TuuF}{{\v T\kern-0.09em\lower0.21em\hbox{U}\kern-0.21em F}}
 
\newcommand{\sazba}{\vfill\te{parbox}{{.9\textwidth}{\x\\Sazba:\x\LaTeX}}}
 

Verze z 24. 8. 2010, 15:16

%VZOROVE SOUBORY

%%CSLATEX %\documentclass[12pt]{article} %\listfiles %\usepackage[IL2]{czech} %\usepackage{graphics} %\pagestyle{plain} %\title{N?ZEV} %\author{AUTOR} %%\date{18. b?ezna 2003} %\input{u_text} %\begin{document} % % %\end{document}


\newcommand{\te}[2]{\begin{#1}#2\end{#1}} %prostredi

%Preambule \newcommand{\setjot}[1][1.5ex]{\setlength{\jot}{#1}} \newcounter{alphlistcounter} \newlength{\itsmyownlength} \setcounter{alphlistcounter}{0}

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\def\cldc{,\ldots,} %comma \ldots coma \def\PP#1{\mathfunction{\mathscr P}\left({#1}\right)} %potence set \def\UU{{\mathcal{U}}} %universum \let\AA=\forall %forall \let\EE=\exists %exists \def\abs#1{\left|{#1}\right|} %absolute value \def\Limpl{\Rightarrow} % short implication \def\Lequiv{\Leftrightarrow} % short logical equivalence \def\equivs{\;\;\Longleftrightarrow\;\;} % short logical equivalence \def\Land{\wedge} % logical and \def\Lor{\vee} % logical or \def\TEXTREL#1{\mathrel{\text{#1}}} \def\Tor{\TEXTREL{vel}} \def\Tand{\TEXTREL{et}} \def\Tnot{\TEXTREL{non}} \def\SET#1#2{\left\{{#1}\divides{#2}\right\}} \def\set#1#2{\left\{#1\left.\vphantom{#2}\vphantom{#1}\right|#2\right\}} \def\anglevector#1{\left\langle{#1}\right\rangle} \def\anglecouple#1#2{\anglevector{#1,#2}} \def\map#1#2#3{#1:#2\rightarrow#3} \def\maptype#1#2#3#4{#1:#2\stackrel{\text{#3.}}{\longrightarrow}#4} \def\matrixtwo#1#2#3#4{\left({#1\atop#3}{#2\atop#4}\right)} \def\1Šablona:-1 \let\sse=\subseteq \let\ssn=\varsubsetneq \def\C{\mathbb{C}} \def\N{\mathbb{N}} \def\Q{\mathbb{Q}} \def\R{\mathbb{R}} \def\Z{\mathbb{Z}} \def\bbA{\mathbb{A}} \def\Nz{\mathbb{N}_0} \def\bbP{\mathbb{P}} \def\calU{\mathcal{U}} \def\calR{\mathcal{R}} \def\calF{\mathscr{F}} \def\calS{\mathcal{S}} \def\calB{\mathcal{B}} \def\calA{\mathcal{A}} \def\divides{\mathop{\mid}} \def\pS#1{\mathscr{S}_{#1}} % permutation group \def\pA#1{\mathscr{A}_{#1}} % even permutation group \def\pp#1#2{\mathscr{#1}_{#2}} \def\ord{\mathfunction{ord}} \def\mathdef{\mathfunction{def}} \let\sm=\smallsetminus % set minus \let\pce=\preccurlyeq % subvalention \let\pna=\precnapprox % sharp subvalention \let\nsg=\vartriangleleft % normal sup-group \let\sg=\Subset % normal sup-group \def\supdot{^\bullet} %\def\sublin{_{\mathrm{lin}}} \def\sublin{_\lambda} \def\subnat{_{\text{nat}}} \def\hatn#1{\widehat{#1}} \def\factorset#1{\mathop{/}{#1}} \def\intpart#1{\left\lfloor#1\right\rfloor} \def\sgn{\mathfunction{sgn}} \def\ditem#1{\item[{\small\bfseries(#1)}]} \def\ch{\mathfunction{ch}} \def\ker{\mathfunction{ker}} \let\rarr=\rightarrow \def\AM#1{\mathscr{A}_{#1}} \def\LM#1{\mathscr{L}_{#1}} \def\KM#1{\mathscr{K}_{#1}} \def\IM#1{\mathcal{I}_{#1}} \def\UM#1{\mathcal{U}_{#1}} \def\EM#1{\mathcal{E}_{#1}} \def\FM#1{\mathscr{F}_{#1}} \def\NM#1{\mathscr{N}_{#1}} \def\MM#1{\mathscr{M}_{#1}} \def\NfŠablona:\NM5 \def\MfŠablona:\MM5 \def\AL#1{\alpha_{#1}} \def\EKŠablona:\EH H \def\id{\mathfunction{id}} \def\lcm{\mathop{\nu}} \def\gcd{\mathop{\delta}} \def\HE#1{\mathrel{_{#1}\mathord\equiv}} \def\EH#1{\mathrel{\mathord\equiv_{#1}}} \def\subplus{_+} \def\subdot{_\bullet} \def\subast{_*} \def\PzeroŠablona:\rm\theta \let\Pz=\Pzero \let\SV=\lor \let\SA=\land \let\CO=\complement \def\st{\mathfunction{st}} \let\ol=\overline \def\RE{\mathfunction{Re}} \def\GF{\mathfunction{\mathrm{GF}}} %\long\def\proof#1\QED{\relax}

\def\labelenumi{{\small \bfseries{(\theenumi)}}}

\title{Zápisky z~Algebry} \author{Tomáš Hejda}