01ALG:Header: Porovnání verzí
Řádka 1: | Řádka 1: | ||
+ | %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~} | ||
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+ | \newcommand{\ox}{o~} | ||
+ | \newcommand{\sx}{s~} | ||
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+ | \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}} | ||
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+ | \newcommand{\jmathrm}{\symbol{17}} | ||
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+ | \newcommand{\specialfootnotemark}{\addtocounter{footnote}{1}\mui\thefootnote} | ||
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+ | %Prikazy prostredi | ||
+ | |||
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+ | |||
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+ | |||
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+ | %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 ... | ||
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+ | \newcommand{\ttab}[1]{\te{tabbing}{{#1}}} %tabulka | ||
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+ | \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}}} | ||
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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} | ||
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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}
%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}Šablona:\,\md \newcommand{\mx}{\cdot} \newcommand{\imathrm}{\symbol{16}} \newcommand{\jmathrm}{\symbol{17}} \newcommand{\convexangle}{\! <\!\!\! )\,} \newcommand{\qk}[1][1]Šablona:\; %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
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\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]Šablona:\bf %tucne \newcommand{\tit}[1]Šablona:\it %kurziva \newcommand{\trm}[1]Šablona:\rm %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]Šablona:\sc %kapitalky \newcommand{\tsf}[1]Šablona:\sf %grotesk \newcommand{\tsl}[1]Šablona:\sl} %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#1Šablona:\Large\sf \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]Šablona:\it \sc
\def\theorem{\numberedpar{Věta}}
\def\observation{\numberedpar{Pozorování}}
\def\lemma{\numberedpar{Lemma}}
\def\remark{\numberedpar{Poznámka}}
\def\consequence{\numberedpar{Důsledek}}
\def\proof{\paragraph{\raise .2ex \hbox to 0pt{\kern-3ex $\circ$}\it Důkaz.}}
\def\removepar#1\par{\relax}
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\def\pp#1{\paragraph{#1.}}
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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}