Matematika2:Header: Porovnání verzí
Z WikiSkripta FJFI ČVUT v Praze
(Založena nová stránka: %\wikiskriptum{Matematika2} \documentclass[12pt]{article} \usepackage[utf8]{inputenc} \usepackage[czech]{babel} \usepackage{amsthm} \usepackage{amsmath} %\usepackage{bbm} \...) |
|||
(Nejsou zobrazeny 2 mezilehlé verze od stejného uživatele.) | |||
Řádka 1: | Řádka 1: | ||
%\wikiskriptum{Matematika2} | %\wikiskriptum{Matematika2} | ||
− | \documentclass[12pt]{article} | + | \documentclass[12pt,intlimits]{article} |
+ | %\documentclass[twocolumn,12pt]{article} | ||
\usepackage[utf8]{inputenc} | \usepackage[utf8]{inputenc} | ||
\usepackage[czech]{babel} | \usepackage[czech]{babel} | ||
\usepackage{amsthm} | \usepackage{amsthm} | ||
\usepackage{amsmath} | \usepackage{amsmath} | ||
− | + | \usepackage{amssymb} | |
\usepackage{hyperref} | \usepackage{hyperref} | ||
\usepackage{color} | \usepackage{color} | ||
+ | \usepackage{multicol} | ||
+ | %\usepackage[a4paper,margin=2cm]{geometry} | ||
+ | \usepackage{framed} | ||
+ | %\usepackage{pifont} % pro cislovani bodu \ding | ||
+ | \usepackage{wasysym} | ||
\usepackage{graphicx} | \usepackage{graphicx} | ||
\usepackage{subfigure} | \usepackage{subfigure} | ||
− | + | \usepackage{wrapfig} | |
+ | |||
\hypersetup{ | \hypersetup{ | ||
colorlinks = true, | colorlinks = true, | ||
− | pdftitle = { | + | pdftitle = {Matematika 2}, |
− | pdfauthor = { | + | pdfauthor = {Radek Fu{\v c}{\'\i}k}, |
− | pdfcreator = { | + | pdfcreator = {Radek Fu{\v c}{\'\i}k}, |
bookmarksopen = true | bookmarksopen = true | ||
} | } | ||
− | + | ||
− | + | ||
+ | %% Preamble | ||
\renewcommand{\epsilon}{\varepsilon} | \renewcommand{\epsilon}{\varepsilon} | ||
\renewcommand{\varsigma}{\sigma} | \renewcommand{\varsigma}{\sigma} | ||
\newcommand{\separator}{\hrulefill} % or pagebreak if u wanna | \newcommand{\separator}{\hrulefill} % or pagebreak if u wanna | ||
\newcommand{\rint}{\mathcal{R}\!\!\int} | \newcommand{\rint}{\mathcal{R}\!\!\int} | ||
− | + | ||
+ | |||
\newcommand{\priklady}{\noindent \textbf{Příklady}} | \newcommand{\priklady}{\noindent \textbf{Příklady}} | ||
\newcommand{\ds}{\displaystyle} | \newcommand{\ds}{\displaystyle} | ||
\newcommand{\ud}{\mathrm{d}} | \newcommand{\ud}{\mathrm{d}} | ||
− | |||
\newcommand{\udx}{\mathrm{d}x} | \newcommand{\udx}{\mathrm{d}x} | ||
\newcommand{\arctg}{\mathrm{arctg~}} | \newcommand{\arctg}{\mathrm{arctg~}} | ||
\newcommand{\arcctg}{\mathrm{arccotg~}} | \newcommand{\arcctg}{\mathrm{arccotg~}} | ||
− | \newcommand{\tg}{\mathrm{tg | + | \newcommand{\tg}{\mathrm{tg\,}} |
− | \newcommand{\cotg}{\mathrm{cotg | + | \newcommand{\cotg}{\mathrm{cotg\,}} |
− | \newcommand{\tgh}{\mathrm{ | + | \newcommand{\tgh}{\mathrm{tgh\,}} |
− | \newcommand{\ctgh}{\mathrm{cotgh | + | \newcommand{\ctgh}{\mathrm{cotgh\,}} |
− | \newcommand{\argsinh}{\mathrm{argsinh | + | \newcommand{\argsinh}{\mathrm{argsinh\,}} |
− | \newcommand{\argcosh}{\mathrm{argcosh | + | \newcommand{\argcosh}{\mathrm{argcosh\,}} |
− | \newcommand{\argtgh}{\mathrm{argtgh | + | \newcommand{\argtgh}{\mathrm{argtgh\,}} |
− | \newcommand{\argctgh}{\mathrm{argcotgh~}} | + | \newcommand{\argctgh}{\mathrm{argcotgh\,}} |
− | + | \newcommand{\sign}{\mathrm{sign\,}} | |
+ | \newcommand{\e}{\mathrm{e}} | ||
+ | \newcommand{\id}{\mathrm{id}} | ||
+ | \newcommand{\neex}{\mathrm{neex}} | ||
+ | \newcommand{\ind}{\mathrm{IND}} | ||
+ | \newcommand{\st}{\mathrm{st\,}} | ||
+ | |||
+ | \newcommand{\oprava}{~\vskip -2.5em ~} % oprava v definici/vete, kdyz se zacina primo enumerate nebo itemize | ||
+ | |||
+ | \definecolor{darkred}{rgb}{0.8,0,0} | ||
+ | \definecolor{darkblue}{rgb}{0,0,0.7} | ||
+ | |||
\theoremstyle{definition} | \theoremstyle{definition} | ||
− | \newtheorem{define}{Definice}[section] | + | \newtheoremstyle{wikistyle}% name of the style to be used |
− | \newtheorem{theorem}[define]{Věta} | + | {} % measure of space to leave above the theorem. E.g.: 3pt |
− | \newtheorem{lemma}[define]{Lemma} | + | {} % measure of space to leave below the theorem. E.g.: 3pt |
− | \newtheorem{corollary}[define]{Důsledek} | + | {} % name of font to use in the body of the theorem |
+ | {} % measure of space to indent | ||
+ | {} % name of head font | ||
+ | {~\\\noindent} % punctuation between head and body | ||
+ | {0.5em}% space after theorem head; " " = normal interword space | ||
+ | {} % Manually specify head | ||
+ | |||
+ | \theoremstyle{wikistyle} | ||
+ | \newtheorem{define}{\color{darkblue}Definice}[section] | ||
+ | \newtheorem{theorem}[define]{\color{red}Věta} | ||
+ | \newtheorem{lemma}[define]{\color{red}Lemma} | ||
+ | \newtheorem{corollary}[define]{\color{darkred}Důsledek} | ||
+ | |||
\theoremstyle{remark} | \theoremstyle{remark} | ||
\newtheorem*{remark}{Poznámka} | \newtheorem*{remark}{Poznámka} | ||
Řádka 53: | Řádka 84: | ||
\newcommand{\ee}{\end{equation}} | \newcommand{\ee}{\end{equation}} | ||
\newcommand{\ekv}{~~\Leftrightarrow~~} | \newcommand{\ekv}{~~\Leftrightarrow~~} | ||
− | + | ||
− | + | \theoremstyle{wikistyle} | |
− | \ | + | \newtheorem{postup}[define]{\color{darkred}Postup} |
− | \ | + | |
− | + | \newcommand{\R}{{\mathbb{R}}} | |
− | \newcommand{\R}{{\ | + | \newcommand{\Rop}{{\mathbb{R}^0_+}} |
− | \newcommand{\Rop}{{\ | + | \newcommand{\Rp}{{\mathbb{R}_+}} |
− | \newcommand{\Rp}{{\ | + | \newcommand{\Rm}{{\mathbb{R}_-}} |
− | \newcommand{\Rm}{{\ | + | \newcommand{\RR}{{\mathbb{R}^*}} |
− | \newcommand{\RR}{{\ | + | \newcommand{\Q}{{\mathbb{Q}}} |
− | \newcommand{\Q}{{\ | + | \newcommand{\N}{{\mathbb{N}}} |
− | \newcommand{\N}{{\ | + | \newcommand{\No}{{\mathbb{N}_0}} |
− | \newcommand{\No}{{\ | + | \newcommand{\C}{{\mathbb{C}}} |
− | \newcommand{\C}{{\ | + | \newcommand{\CC}{{\mathbb{C}^*}} |
− | \newcommand{\CC}{{\ | + | \newcommand{\Z}{\mathbb{Z}} |
− | \newcommand{\Z}{\ | + | \newcommand{\EkvDef}{\stackrel{\mbox{\tiny def}}{\Leftrightarrow}} |
− | + | ||
− | + | ||
− | \ | + | \newcommand{\comb}[2]{\left(\!\!\begin{array}{c} #1 \\ #2 \end{array}\!\!\right)} |
− | \ | + | |
− | \ | + | %definice českých uvozovek |
− | \ | + | \def\bq{\mbox{\kern.1ex\protect\raisebox{-1.3ex}[0pt][0pt]{''}\kern-.1ex}} |
− | \ | + | \def\eq{\mbox{\kern-.1ex``\kern.1ex}} |
− | \ | + | \gdef\uv#1{\bq #1\eq} |
Aktuální verze z 6. 2. 2022, 16:05
[ znovu generovat, | výstup z překladu ] | Kompletní WikiSkriptum včetně všech podkapitol. | |
PDF Této kapitoly | [ znovu generovat, | výstup z překladu ] | Přeložení pouze této kaptioly. |
ZIP | Kompletní zdrojový kód včetně obrázků. |
Součásti dokumentu Matematika2
součást | akce | popis | poslední editace | soubor | |||
---|---|---|---|---|---|---|---|
Hlavní dokument | editovat | Hlavní stránka dokumentu Matematika2 | Fucikrad | 14. 9. 2011 | 17:01 | ||
Řídící stránka | editovat | Definiční stránka dokumentu a vložených obrázků | Admin | 7. 9. 2015 | 20:27 | ||
Header | editovat | Hlavičkový soubor | Fucikrad | 6. 2. 2022 | 16:05 | header.tex | |
Kapitola1 | editovat | Techniky integrace | Fucikrad | 6. 2. 2022 | 16:06 | kapitola1.tex | |
Kapitola2 | editovat | Zobecněný Riemannův integrál | Fucikrad | 6. 2. 2022 | 16:06 | kapitola2.tex | |
Kapitola3 | editovat | Kuželosečky | Fucikrad | 6. 2. 2022 | 16:07 | kapitola3.tex | |
Kapitola4 | editovat | Polární souřadnice | Fucikrad | 6. 2. 2022 | 16:08 | kapitola4.tex | |
Kapitola5 | editovat | Křivky dané parametricky | Fucikrad | 25. 4. 2022 | 16:28 | kapitola5.tex | |
Kapitola6 | editovat | Supremum a infimum | Fucikrad | 13. 3. 2012 | 15:41 | kapitola6.tex | |
Kapitola7 | editovat | Posloupnosti reálných čísel | Fucikrad | 6. 4. 2023 | 09:47 | kapitola7.tex | |
Kapitola8 | editovat | Řady | Fucikrad | 24. 5. 2022 | 12:01 | kapitola8.tex | |
Kapitola9 | editovat | Taylorův polynom a Taylorova řada | Fucikrad | 20. 4. 2022 | 11:15 | kapitola9.tex | |
Kapitola10 | editovat | Mocninné řady | Fucikrad | 6. 2. 2022 | 16:10 | kapitola10.tex |
Vložené soubory
soubor | název souboru pro LaTeX |
---|---|
Image:kuzelky.pdf | kuzelky.pdf |
Image:A.png | A.png |
Image:B.png | B.png |
Image:C.png | C.png |
Image:D.png | D.png |
Image:E1.png | E1.png |
Image:E2.png | E2.png |
Image:E3.png | E3.png |
Image:E4.png | E4.png |
Image:F1.png | F1.png |
Image:F2.png | F2.png |
Image:F3.png | F3.png |
Image:F4.png | F4.png |
Image:J.png | J.png |
Image:K.png | K.png |
Image:L.png | L.png |
Zdrojový kód
%\wikiskriptum{Matematika2} \documentclass[12pt,intlimits]{article} %\documentclass[twocolumn,12pt]{article} \usepackage[utf8]{inputenc} \usepackage[czech]{babel} \usepackage{amsthm} \usepackage{amsmath} \usepackage{amssymb} \usepackage{hyperref} \usepackage{color} \usepackage{multicol} %\usepackage[a4paper,margin=2cm]{geometry} \usepackage{framed} %\usepackage{pifont} % pro cislovani bodu \ding \usepackage{wasysym} \usepackage{graphicx} \usepackage{subfigure} \usepackage{wrapfig} \hypersetup{ colorlinks = true, pdftitle = {Matematika 2}, pdfauthor = {Radek Fu{\v c}{\'\i}k}, pdfcreator = {Radek Fu{\v c}{\'\i}k}, bookmarksopen = true } %% Preamble \renewcommand{\epsilon}{\varepsilon} \renewcommand{\varsigma}{\sigma} \newcommand{\separator}{\hrulefill} % or pagebreak if u wanna \newcommand{\rint}{\mathcal{R}\!\!\int} \newcommand{\priklady}{\noindent \textbf{Příklady}} \newcommand{\ds}{\displaystyle} \newcommand{\ud}{\mathrm{d}} \newcommand{\udx}{\mathrm{d}x} \newcommand{\arctg}{\mathrm{arctg~}} \newcommand{\arcctg}{\mathrm{arccotg~}} \newcommand{\tg}{\mathrm{tg\,}} \newcommand{\cotg}{\mathrm{cotg\,}} \newcommand{\tgh}{\mathrm{tgh\,}} \newcommand{\ctgh}{\mathrm{cotgh\,}} \newcommand{\argsinh}{\mathrm{argsinh\,}} \newcommand{\argcosh}{\mathrm{argcosh\,}} \newcommand{\argtgh}{\mathrm{argtgh\,}} \newcommand{\argctgh}{\mathrm{argcotgh\,}} \newcommand{\sign}{\mathrm{sign\,}} \newcommand{\e}{\mathrm{e}} \newcommand{\id}{\mathrm{id}} \newcommand{\neex}{\mathrm{neex}} \newcommand{\ind}{\mathrm{IND}} \newcommand{\st}{\mathrm{st\,}} \newcommand{\oprava}{~\vskip -2.5em ~} % oprava v definici/vete, kdyz se zacina primo enumerate nebo itemize \definecolor{darkred}{rgb}{0.8,0,0} \definecolor{darkblue}{rgb}{0,0,0.7} \theoremstyle{definition} \newtheoremstyle{wikistyle}% name of the style to be used {} % measure of space to leave above the theorem. E.g.: 3pt {} % measure of space to leave below the theorem. E.g.: 3pt {} % name of font to use in the body of the theorem {} % measure of space to indent {} % name of head font {~\\\noindent} % punctuation between head and body {0.5em}% space after theorem head; " " = normal interword space {} % Manually specify head \theoremstyle{wikistyle} \newtheorem{define}{\color{darkblue}Definice}[section] \newtheorem{theorem}[define]{\color{red}Věta} \newtheorem{lemma}[define]{\color{red}Lemma} \newtheorem{corollary}[define]{\color{darkred}Důsledek} \theoremstyle{remark} \newtheorem*{remark}{Poznámka} \newtheorem*{example}{Příklad} \renewcommand{\proofname}{Důkaz} \newcommand{\be}{\begin{equation}} \newcommand{\ee}{\end{equation}} \newcommand{\ekv}{~~\Leftrightarrow~~} \theoremstyle{wikistyle} \newtheorem{postup}[define]{\color{darkred}Postup} \newcommand{\R}{{\mathbb{R}}} \newcommand{\Rop}{{\mathbb{R}^0_+}} \newcommand{\Rp}{{\mathbb{R}_+}} \newcommand{\Rm}{{\mathbb{R}_-}} \newcommand{\RR}{{\mathbb{R}^*}} \newcommand{\Q}{{\mathbb{Q}}} \newcommand{\N}{{\mathbb{N}}} \newcommand{\No}{{\mathbb{N}_0}} \newcommand{\C}{{\mathbb{C}}} \newcommand{\CC}{{\mathbb{C}^*}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\EkvDef}{\stackrel{\mbox{\tiny def}}{\Leftrightarrow}} \newcommand{\comb}[2]{\left(\!\!\begin{array}{c} #1 \\ #2 \end{array}\!\!\right)} %definice českých uvozovek \def\bq{\mbox{\kern.1ex\protect\raisebox{-1.3ex}[0pt][0pt]{''}\kern-.1ex}} \def\eq{\mbox{\kern-.1ex``\kern.1ex}} \gdef\uv#1{\bq #1\eq}