01ALG: Porovnání verzí
Z WikiSkripta FJFI ČVUT v Praze
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Verze z 24. 8. 2010, 14:58
[ znovu generovat, | výstup z překladu ] | Kompletní WikiSkriptum včetně všech podkapitol. | |
ZIP | Kompletní zdrojový kód včetně obrázků. |
Součásti dokumentu 01ALG
součást | akce | popis | poslední editace | soubor | |||
---|---|---|---|---|---|---|---|
Hlavní dokument | editovat | Hlavní stránka dokumentu 01ALG | Karel.brinda | 24. 8. 2010 | 15:49 | ||
Řídící stránka | editovat | Definiční stránka dokumentu a vložených obrázků | Admin | 7. 9. 2015 | 14:48 | ||
Header | editovat | Hlavičkový soubor | Karel.brinda | 24. 10. 2010 | 20:54 | header.tex | |
Kapitola0 | editovat | Úvodní poznámky | Karel.brinda | 26. 8. 2010 | 16:03 | alg_note.tex | |
Kapitola1 | editovat | Teorie množín | Snilard | 6. 1. 2011 | 01:37 | alg_set.tex | |
Kapitola2 | editovat | Relace | Karel.brinda | 25. 1. 2011 | 23:52 | alg_rel.tex | |
Kapitola3 | editovat | Uspořádané množiny | Sedlam18 | 24. 1. 2012 | 14:18 | alg_set2.tex | |
Kapitola4 | editovat | Algebra | Snilard | 6. 1. 2011 | 01:59 | alg_alg.tex | |
Kapitola5 | editovat | Teorie grup | Pitrazby | 17. 2. 2012 | 03:51 | alg_group.tex | |
Kapitola6 | editovat | Okruhy | Pitrazby | 17. 2. 2012 | 04:00 | alg_ring.tex | |
Kapitola7 | editovat | Moduly a lineární algebry | Kosarvac | 11. 11. 2011 | 16:50 | alg_module.tex | |
Kapitola8 | editovat | Teorie svazů | Pitrazby | 17. 2. 2012 | 15:19 | alg_lattice.tex | |
Kapitola9 | editovat | Polynomy nad komutativními tělesy | Pitrazby | 17. 2. 2012 | 15:21 | alg_polynoms.tex | |
Kapitola10 | editovat | Konečná tělesa | Pitrazby | 17. 2. 2012 | 15:24 | alg_finite.tex |
Zdrojový kód
%\wikiskriptum{01ALG} \def\TWOCOLUMN{ \documentclass[12pt, a4paper, landscape, twocolumn]{article} %\input{u_text} \addtolength{\columnsep}{.8in} \addtolength{\oddsidemargin}{-.4in} \addtolength{\textwidth}{.8in} \addtolength{\headsep}{-1.5in} \addtolength{\textheight}{2.5in} \def\stdunitlength{0.5ex} } \def\ONECOLUMN{ \documentclass[12pt, a4paper]{article} %\input{u_text} \minimizeborders \addtolength{\oddsidemargin}{.4in} \def\stdunitlength{0.5ex} } \ONECOLUMN \tracingmacros=0 \usepackage[IL2]{czech} \usepackage[mathscr]{eucal} \usepackage{amsfonts, amssymb, amsmath} %\usepackage[T1]{fontenc} \usepackage{makeidx} %\usepackage{showidx} \makeindex %\parindent=0pt \parskip=0ex \catcode`\@=11 \newtheorem{parnum}{\unaccessible}[subsection] %\@newctr{parnum}[subsection] %\newcounter{parnum} \def\NUMBEREDPAR{\refstepcounter{parnum}\paragraph{\mdseries\scshape\raise .2ex \hbox to 0pt{\kern-3ex $\blacktriangleright$}\theparnum. \PARNAME.}\IFLABEL} \def\NUMBEREDPARBRACKET(#1){\refstepcounter{parnum}\paragraph{\mdseries\scshape\raise .2ex \hbox to 0pt{\kern-3ex $\blacktriangleright$}\theparnum. \PARNAME{} (#1).}\IFLABEL} \def\numberedpar#1{\edef\PARNAME{{#1}}\@ifnextchar(\NUMBEREDPARBRACKET\NUMBEREDPAR} \def\PARLABEL[#1]{\@bsphack\protected@write\@auxout{}{\string\newlabel{#1}{{\theparnum}{\thepage}}}\@esphack } \def\IFLABEL{\@ifnextchar[\PARLABEL\relax} \def\axiom(#1)#2.#3\par{\paragraph{Axiom #1. #2.}#3\par} \def\axiom(#1)#2.{\numberedpar{Axiom}(#1. #2)} %\def\example#1\par{\paragraph{\newparnum{} Příklad.}#1\par} \def\define{\numberedpar{Definice}} \def\example{\numberedpar{Příklad}} \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} \def\DEFINEDINDEX[#1]#2{\underline{\smash{#2}}\index{#1}} \def\DEFINED#1{\underline{\smash{#1}}} \def\defined{\@ifnextchar[\DEFINEDINDEX\DEFINED} \long\def\nothing#1{\relax} \def\xy#1#2{\relax} \def\xxy#1#2{ \refstepcounter{subsection} \refstepcounter{section} \addcontentsline{toc}{section}{\numberline{\thesection.} #2} \subsection*{ \hglue -1ex \hbox to 0pt{\rule[3ex]{\textwidth}{1pt}} \hfil {{\rm\large\bfseries\thesection.} {\rm\large\scshape #1}} \hfil} } \def\xxxy#1#2{ \refstepcounter{subsection} \addcontentsline{toc}{subsection}{\numberline{\thesubsection.} #2} \subsubsection*{ \hglue -1ex \hbox to 0pt{\kern-3.7ex$\bullet$} \hfil {{\rm\normalsize\bfseries\thesubsection.} {\rm\normalsize\scshape #1}} \hfil} } \def\pp#1{\paragraph{#1.}} \def\xx#1{\xy{#1}{#1}} \def\xxx#1{\xxy{#1}{#1}} \def\xxxx#1{\xxxy{#1}{#1}} \def\QED{~\\\rightline{$\Box$}} \newlength{\PARSKIP} \def\QED{\setlength{\PARSKIP}{\parskip}\setlength{\parskip}{-2ex} \hbox{}\allowbreak\hfill %\hbox{}\allowbreak\hfill {$\Box$}\par \setlength{\parskip}{\PARSKIP}} \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\1{{-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\Nf{{\NM5}} \def\Mf{{\MM5}} \def\AL#1{\alpha_{#1}} \def\EK{{\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\Pzero{{\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} \begin{document} \pagenumbering{roman} \par \vglue1.0in \noindent \newlength{\XXR} \kern2cm \setlength{\XXR}{4ex}\rule[-0.6\XXR]{\XXR}{\XXR}\rule[0.4\XXR]{\XXR}{\XXR} {\huge\sc\kern1em{\bf Z}ápisky z {\bf A}lgebry} \hfill\par\hfill {\large\sc{\bf T}omáš {\bf H}ejda\kern1em} \setlength{\XXR}{3ex}\rule[-0.6\XXR]{\XXR}{\XXR}\rule[0.4\XXR]{\XXR}{\XXR} \kern2cm \vskip1.2in \tableofcontents \input{alg_note} \newpage \pagenumbering{arabic} \input{alg_set}\input{alg_group} %\addtocounter{section}{5} \input{alg_ring}\input{alg_module}\input{alg_lattice} %\addtocounter{section}{3} \input{alg_polynoms} %\addtocounter{section}{1} \input{alg_finite} \newpage \pagenumbering{roman} \addtocontents{toc}{\protect\contentsline{section}{Rejstřík}{\relax}} \printindex \end{document}