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Řádka 2: |
Řádka 2: |
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− | \def\TWOCOLUMN{
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− | \documentclass[12pt, a4paper, landscape, twocolumn]{article}
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− | %\input{u_text}
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− | \addtolength{\columnsep}{.8in}
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− | \addtolength{\oddsidemargin}{-.4in}
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− | \addtolength{\textwidth}{.8in}
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− | \addtolength{\headsep}{-1.5in}
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− | \addtolength{\textheight}{2.5in}
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− | \def\stdunitlength{0.5ex}
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− | }
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− |
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− | \def\ONECOLUMN{
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− | \documentclass[12pt, a4paper]{article}
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− | %\input{u_text}
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− | \minimizeborders
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− | \addtolength{\oddsidemargin}{.4in}
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− | \def\stdunitlength{0.5ex}
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− | }
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− |
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− | \ONECOLUMN
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− |
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− | \tracingmacros=0
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− | \usepackage[IL2]{czech}
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− | \usepackage[mathscr]{eucal}
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− | \usepackage{amsfonts, amssymb, amsmath}
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− | %\usepackage[T1]{fontenc}
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− | \usepackage{makeidx}
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− | %\usepackage{showidx}
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− | \makeindex
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− | %\parindent=0pt
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− | \parskip=0ex
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− |
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− | \catcode`\@=11
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− |
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− | \newtheorem{parnum}{\unaccessible}[subsection]
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− | %\@newctr{parnum}[subsection]
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− |
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− | %\newcounter{parnum}
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− | \def\NUMBEREDPAR{\refstepcounter{parnum}\paragraph{\mdseries\scshape\raise .2ex \hbox to 0pt{\kern-3ex $\blacktriangleright$}\theparnum. \PARNAME.}\IFLABEL}
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− | \def\NUMBEREDPARBRACKET(#1){\refstepcounter{parnum}\paragraph{\mdseries\scshape\raise .2ex \hbox to 0pt{\kern-3ex $\blacktriangleright$}\theparnum. \PARNAME{} (#1).}\IFLABEL}
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− | \def\numberedpar#1{\edef\PARNAME{{#1}}\@ifnextchar(\NUMBEREDPARBRACKET\NUMBEREDPAR}
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− | \def\PARLABEL[#1]{\@bsphack\protected@write\@auxout{}{\string\newlabel{#1}{{\theparnum}{\thepage}}}\@esphack }
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− | \def\IFLABEL{\@ifnextchar[\PARLABEL\relax}
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− |
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− | \def\axiom(#1)#2.#3\par{\paragraph{Axiom #1. #2.}#3\par}
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− | \def\axiom(#1)#2.{\numberedpar{Axiom}(#1. #2)}
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− | %\def\example#1\par{\paragraph{\newparnum{} Příklad.}#1\par}
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− | \def\define{\numberedpar{Definice}}
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− | \def\example{\numberedpar{Příklad}}
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− | \def\theorem{\numberedpar{Věta}}
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− | \def\observation{\numberedpar{Pozorování}}
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− | \def\lemma{\numberedpar{Lemma}}
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− | \def\remark{\numberedpar{Poznámka}}
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− | \def\consequence{\numberedpar{Důsledek}}
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− | \def\proof{\paragraph{\raise .2ex \hbox to 0pt{\kern-3ex $\circ$}\it Důkaz.}}
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− |
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− | \def\removepar#1\par{\relax}
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− |
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− | \def\DEFINEDINDEX[#1]#2{\underline{\smash{#2}}\index{#1}}
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− | \def\DEFINED#1{\underline{\smash{#1}}}
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− | \def\defined{\@ifnextchar[\DEFINEDINDEX\DEFINED}
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− |
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− | \long\def\nothing#1{\relax}
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− |
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− | \def\xy#1#2{\relax}
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− |
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− | \def\xxy#1#2{
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− | \refstepcounter{subsection}
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− | \refstepcounter{section}
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− | \addcontentsline{toc}{section}{\numberline{\thesection.} #2}
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− | \subsection*{
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− | \hglue -1ex
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− | \hbox to 0pt{\rule[3ex]{\textwidth}{1pt}}
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− | \hfil
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− | {{\rm\large\bfseries\thesection.} {\rm\large\scshape #1}}
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− | \hfil}
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− | }
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− |
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− | \def\xxxy#1#2{
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− | \refstepcounter{subsection}
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− | \addcontentsline{toc}{subsection}{\numberline{\thesubsection.} #2}
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− | \subsubsection*{
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− | \hglue -1ex
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− | \hbox to 0pt{\kern-3.7ex$\bullet$}
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− | \hfil
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− | {{\rm\normalsize\bfseries\thesubsection.} {\rm\normalsize\scshape #1}}
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− | \hfil}
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− | }
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− |
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− | \def\pp#1{\paragraph{#1.}}
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− |
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− | \def\xx#1{\xy{#1}{#1}}
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− | \def\xxx#1{\xxy{#1}{#1}}
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− | \def\xxxx#1{\xxxy{#1}{#1}}
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− |
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− | \def\QED{~\\\rightline{$\Box$}}
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− | \newlength{\PARSKIP}
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− | \def\QED{\setlength{\PARSKIP}{\parskip}\setlength{\parskip}{-2ex}
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− | \hbox{}\allowbreak\hfill
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− | %\hbox{}\allowbreak\hfill
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− | {$\Box$}\par
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− | \setlength{\parskip}{\PARSKIP}}
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− | \def\cldc{,\ldots,} %comma \ldots coma
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− | \def\PP#1{\mathfunction{\mathscr P}\left({#1}\right)} %potence set
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− | \def\UU{{\mathcal{U}}} %universum
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− | \let\AA=\forall %forall
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− | \let\EE=\exists %exists
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− | \def\abs#1{\left|{#1}\right|} %absolute value
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− | \def\Limpl{\Rightarrow} % short implication
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− | \def\Lequiv{\Leftrightarrow} % short logical equivalence
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− | \def\equivs{\;\;\Longleftrightarrow\;\;} % short logical equivalence
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− | \def\Land{\wedge} % logical and
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− | \def\Lor{\vee} % logical or
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− | \def\TEXTREL#1{\mathrel{\text{#1}}}
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− | \def\Tor{\TEXTREL{vel}}
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− | \def\Tand{\TEXTREL{et}}
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− | \def\Tnot{\TEXTREL{non}}
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− | \def\SET#1#2{\left\{{#1}\divides{#2}\right\}}
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− | \def\set#1#2{\left\{#1\left.\vphantom{#2}\vphantom{#1}\right|#2\right\}}
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− | \def\anglevector#1{\left\langle{#1}\right\rangle}
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− | \def\anglecouple#1#2{\anglevector{#1,#2}}
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− | \def\map#1#2#3{#1:#2\rightarrow#3}
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− | \def\maptype#1#2#3#4{#1:#2\stackrel{\text{#3.}}{\longrightarrow}#4}
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− | \def\matrixtwo#1#2#3#4{\left({#1\atop#3}{#2\atop#4}\right)}
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− | \def\1{{-1}}
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− | \let\sse=\subseteq
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− | \let\ssn=\varsubsetneq
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− | \def\C{\mathbb{C}}
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− | \def\N{\mathbb{N}}
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− | \def\Q{\mathbb{Q}}
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− | \def\R{\mathbb{R}}
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− | \def\Z{\mathbb{Z}}
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− | \def\bbA{\mathbb{A}}
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− | \def\Nz{\mathbb{N}_0}
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− | \def\bbP{\mathbb{P}}
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− | \def\calU{\mathcal{U}}
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− | \def\calR{\mathcal{R}}
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− | \def\calF{\mathscr{F}}
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− | \def\calS{\mathcal{S}}
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− | \def\calB{\mathcal{B}}
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− | \def\calA{\mathcal{A}}
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− | \def\divides{\mathop{\mid}}
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− | \def\pS#1{\mathscr{S}_{#1}} % permutation group
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− | \def\pA#1{\mathscr{A}_{#1}} % even permutation group
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− | \def\pp#1#2{\mathscr{#1}_{#2}}
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− | \def\ord{\mathfunction{ord}}
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− | \def\mathdef{\mathfunction{def}}
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− | \let\sm=\smallsetminus % set minus
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− | \let\pce=\preccurlyeq % subvalention
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− | \let\pna=\precnapprox % sharp subvalention
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− | \let\nsg=\vartriangleleft % normal sup-group
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− | \let\sg=\Subset % normal sup-group
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− | \def\supdot{^\bullet}
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− | %\def\sublin{_{\mathrm{lin}}}
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− | \def\sublin{_\lambda}
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− | \def\subnat{_{\text{nat}}}
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− | \def\hatn#1{\widehat{#1}}
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− | \def\factorset#1{\mathop{/}{#1}}
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− | \def\intpart#1{\left\lfloor#1\right\rfloor}
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− | \def\sgn{\mathfunction{sgn}}
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− | \def\ditem#1{\item[{\small\bfseries(#1)}]}
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− | \def\ch{\mathfunction{ch}}
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− | \def\ker{\mathfunction{ker}}
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− | \let\rarr=\rightarrow
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− | \def\AM#1{\mathscr{A}_{#1}}
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− | \def\LM#1{\mathscr{L}_{#1}}
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− | \def\KM#1{\mathscr{K}_{#1}}
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− | \def\IM#1{\mathcal{I}_{#1}}
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− | \def\UM#1{\mathcal{U}_{#1}}
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− | \def\EM#1{\mathcal{E}_{#1}}
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− | \def\FM#1{\mathscr{F}_{#1}}
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− | \def\NM#1{\mathscr{N}_{#1}}
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− | \def\MM#1{\mathscr{M}_{#1}}
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− | \def\Nf{{\NM5}}
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− | \def\Mf{{\MM5}}
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− | \def\AL#1{\alpha_{#1}}
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− | \def\EK{{\EH H}}
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− | \def\id{\mathfunction{id}}
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− | \def\lcm{\mathop{\nu}}
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− | \def\gcd{\mathop{\delta}}
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− | \def\HE#1{\mathrel{_{#1}\mathord\equiv}}
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− | \def\EH#1{\mathrel{\mathord\equiv_{#1}}}
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− | \def\subplus{_+}
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− | \def\subdot{_\bullet}
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− | \def\subast{_*}
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− | \def\Pzero{{\rm\theta}}
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− | \let\Pz=\Pzero
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− | \let\SV=\lor
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− | \let\SA=\land
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− | \let\CO=\complement
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− | \def\st{\mathfunction{st}}
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− | \let\ol=\overline
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− | \def\RE{\mathfunction{Re}}
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− | \def\GF{\mathfunction{\mathrm{GF}}}
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− | %\long\def\proof#1\QED{\relax}
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− |
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− | \def\labelenumi{{\small \bfseries{(\theenumi)}}}
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− |
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− | \title{Zápisky z~Algebry}
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− | \author{Tomáš Hejda}
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| \begin{document} | | \begin{document} |