*** trunk/lynkurs-i-latex.tex 2015/08/16 09:05:52 11
--- trunk/lynkurs-i-latex.tex 2015/08/16 21:06:53 12
***************
*** 269,275 ****
\begin{itemize}[<+->]
\item AUC\TeX
\end{itemize}
! \item \TeX works
\item vim
\item MathType \(\gets\) bare for formler
\item \dots
--- 269,275 ----
\begin{itemize}[<+->]
\item AUC\TeX
\end{itemize}
! \item \TeX works \(\gets\) følger med MiK\TeX
\item vim
\item MathType \(\gets\) bare for formler
\item \dots
***************
*** 282,288 ****
\frametitle{Lærebøker}
\pause
\begin{itemize}[<+->]
! \item «Computers \& Typesetting», av Donald Knuth:
\begin{itemize}[<+->]
\item Vol.\ A «The \TeX book» og Vol.\ B «\TeX: The Program»
\item Vol.\ C «The \MF book» og Vol.\ D «\MF: The Program»
--- 282,288 ----
\frametitle{Lærebøker}
\pause
\begin{itemize}[<+->]
! \item «Computers \& Typesetting», av Donald Knuth
\begin{itemize}[<+->]
\item Vol.\ A «The \TeX book» og Vol.\ B «\TeX: The Program»
\item Vol.\ C «The \MF book» og Vol.\ D «\MF: The Program»
***************
*** 318,324 ****
\begin{itemize}[<+->]
\item Består av:
\begin{itemize}[<+->]
! \item Preamble
\begin{itemize}[<+->]
\item Angi dokumentklasse
\item Angi pakker
--- 318,324 ----
\begin{itemize}[<+->]
\item Består av:
\begin{itemize}[<+->]
! \item Preamble:
\begin{itemize}[<+->]
\item Angi dokumentklasse
\item Angi pakker
***************
*** 329,335 ****
listinger
\item Avsnittsoverskrifter
\item Tekst
! \item Start og stopp av forskjellige miljøer
\begin{itemize}
\item figurer, formler, tabeller og listinger
\end{itemize}
--- 329,335 ----
listinger
\item Avsnittsoverskrifter
\item Tekst
! \item Start og stopp av forskjellige miljøer:
\begin{itemize}
\item figurer, formler, tabeller og listinger
\end{itemize}
***************
*** 346,353 ****
\begin{verbatim}
\documentclass[a4paper,12pt]{article} % -*- coding: utf-8 -*-
! \usepackage[utf8]{inputenc}
! \usepackage[T1]{fontenc}
\usepackage[norsk]{babel}
\title{\textbf{Tittel}}
--- 346,353 ----
\begin{verbatim}
\documentclass[a4paper,12pt]{article} % -*- coding: utf-8 -*-
! \usepackage{amsmath}\usepackage{amssymb}
! \usepackage[utf8]{inputenc}\usepackage[T1]{fontenc}
\usepackage[norsk]{babel}
\title{\textbf{Tittel}}
***************
*** 457,462 ****
--- 457,463 ----
\end{equation}
\end{verbatim}
\item Nummerering plasseres ved høyre marg
+ \item
\begin{equation}
a+b=c
\end{equation}
***************
*** 479,513 ****
\frametitle{Inntasting av formler}
\pause
\begin{itemize}[<+->]
! \item Bokstaver og de fleste tegn kan tastes direkte inn
! \item Enkelte tegn må angis med kommandoer
\begin{itemize}[<+->]
\item \texttt{\textbackslash ge}, \(\ge\)
\item \texttt{\textbackslash le}, \(\le\)
\item \texttt{\textbackslash equiv}, \(\equiv\)
\item \texttt{\textbackslash approx}, \(\approx\)
\end{itemize}
! \item Se tabellene i
«\href{https://tobi.oetiker.ch/lshort/lshort.pdf}{The Not So Short
Introduction to \LaTeXe}»
! \item Sinus, cosinus, tangens, ln, log, osv., har egne kommandoer
\begin{itemize}[<+->]
! \item \texttt{\textbackslash sin(x)}, \(\sin(x)\);
! \texttt{\textbackslash cos(x)}, \(\cos(x)\);
\texttt{\textbackslash ln x}, \(\ln x\)
\end{itemize}
\item Se nøye etter forskjellene over og under:
\begin{itemize}[<+->]
! \item \texttt{sin(x)}, \(sin(x)\); \texttt{cos(x)}, \(cos(x)\);
! \texttt{ln x}, \(ln x\)
\end{itemize}
\item Komma brukes for lister:
\begin{itemize}[<+->]
! \item \texttt{a,b,c,d}: \(a,b,c,d\)
! \item \texttt{1,25}: \(1,25\)
! \item \texttt{1\{,\}25}: \(1{,}25\) \(\gets\) husk
! \texttt{\{,\}} for norsk komma i tall
\end{itemize}
\end{itemize}
\end{frame}
--- 480,547 ----
\frametitle{Inntasting av formler}
\pause
\begin{itemize}[<+->]
! \item Bokstaver og de fleste tegn på tastaturet kan tastes direkte
! inn
! \item Enkelte tegn må angis med kommandoer:
\begin{itemize}[<+->]
\item \texttt{\textbackslash ge}, \(\ge\)
\item \texttt{\textbackslash le}, \(\le\)
\item \texttt{\textbackslash equiv}, \(\equiv\)
\item \texttt{\textbackslash approx}, \(\approx\)
+ \item \texttt{\textbackslash neq}, \(\neq\)
+ \item \texttt{\textbackslash\%}, \(\%\)
\end{itemize}
! \item Se tabellene i kapittel 3 i
«\href{https://tobi.oetiker.ch/lshort/lshort.pdf}{The Not So Short
Introduction to \LaTeXe}»
! \end{itemize}
! \end{frame}
!
! \begin{frame}%[allowframebreaks]
! \frametitle{Inntasting av formler}
! \pause
! \begin{itemize}[<+->]
! \item Sinus, cosinus, tangens, ln, log, osv., har egne kommandoer:
\begin{itemize}[<+->]
! \item \texttt{\textbackslash sin x}, \(\sin x\);
! \texttt{\textbackslash cos x}, \(\cos x\);
! \texttt{\textbackslash tan x}, \(\tan x\);
\texttt{\textbackslash ln x}, \(\ln x\)
\end{itemize}
\item Se nøye etter forskjellene over og under:
\begin{itemize}[<+->]
! \item \texttt{sin x}, \(sin x\); \texttt{cos x}, \(cos x\);
! \texttt{tan x}, \(tan x\); \texttt{ln x}, \(ln x\)
\end{itemize}
+ \item Se tabellene i kapittel 3 i
+ «\href{https://tobi.oetiker.ch/lshort/lshort.pdf}{The Not So Short
+ Introduction to \LaTeXe}»
+ \end{itemize}
+ \end{frame}
+
+ \begin{frame}%[allowframebreaks]
+ \frametitle{Inntasting av formler}
+ \pause
+ \begin{itemize}[<+->]
\item Komma brukes for lister:
\begin{itemize}[<+->]
! \item \texttt{a,b,c,d}
! \begin{itemize}[<+->]
! \item \(a,b,c,d\)
! \end{itemize}
\end{itemize}
+ \item Tall kan bli rare:
+ \begin{itemize}[<+->]
+ \item \texttt{1,25}
+ \begin{itemize}[<+->]
+ \item \(1,25\)
+ \end{itemize}
+ \item \texttt{1\{,\}25}
+ \begin{itemize}[<+->]
+ \item \(1{,}25\) \(\gets\) husk \texttt{\{,\}} for norsk komma i
+ tall
+ \end{itemize}
+ \end{itemize}
\end{itemize}
\end{frame}
***************
*** 516,522 ****
\pause
\begin{multicols}{2}
\begin{itemize}[<+->]
! \item Hevet tekst
\begin{itemize}[<+->]
\item \texttt{x\textasciicircum3}
\begin{itemize}[<+->]
--- 550,556 ----
\pause
\begin{multicols}{2}
\begin{itemize}[<+->]
! \item Hevet tekst:
\begin{itemize}[<+->]
\item \texttt{x\textasciicircum3}
\begin{itemize}[<+->]
***************
*** 531,537 ****
\item \(x^{33}\)
\end{itemize}
\end{itemize}
! \item Senket tekst
\begin{itemize}[<+->]
\item \texttt{x\_3}
\begin{itemize}[<+->]
--- 565,571 ----
\item \(x^{33}\)
\end{itemize}
\end{itemize}
! \item Senket tekst:
\begin{itemize}[<+->]
\item \texttt{x\_3}
\begin{itemize}[<+->]
***************
*** 558,594 ****
\frametitle{Inntasting av formler}
\pause
\begin{itemize}[<+->]
! \item Kombinasjoner er mulig
! \item Den ene rekkefølgen
\begin{itemize}[<+->]
! \item \texttt{x\_0\textasciicircum3}, \(x_0^3\)
\end{itemize}
- \item Den omvendte rekkefølgen
- \begin{itemize}[<+->]
- \item \texttt{x\textasciicircum3\_0}, \(x^3_0\)
- \end{itemize}
- \item Karbon-14 skrevet slik
- \begin{itemize}[<+->]
- \item \texttt{\{\}\_6\textasciicircum\{14\}\textbackslash
- mathrm\{C\}}, \({}_6^{14}\mathrm{C}\)
- \end{itemize}
- \item Karbon-14 skrevet sånn
- \begin{itemize}[<+->]
- \item \texttt{\{\}\textasciicircum\{14\}\_6\textbackslash
- mathrm\{C\}}, \({}^{14}_6\mathrm{C}\)
- \end{itemize}
- \item Karbon-14 med bedre resultat
- \begin{itemize}[<+->]
- \item \texttt{\{\}\_\{\textbackslash
- phantom16\}\textasciicircum\{14\}\textbackslash mathrm\{C\}},
- \({}_{\phantom16}^{14}\mathrm{C}\)
- \end{itemize}
- \item Motsatt rekkefølge, men likevel vakkert
- \begin{itemize}[<+->]
- \item \texttt{\{\}\textasciicircum\{14\}\_\{\textbackslash
- phantom16\}\textbackslash mathrm\{C\}},
- \({}^{14}_{\phantom16}\mathrm{C}\)
- \end{itemize}
\end{itemize}
\end{frame}
--- 592,630 ----
\frametitle{Inntasting av formler}
\pause
\begin{itemize}[<+->]
! \item Kombinere hevet og senket tekst:
\begin{itemize}[<+->]
! \item Den ene rekkefølgen:
! \begin{itemize}[<+->]
! \item \texttt{x\_0\textasciicircum3}, \(x_0^3\)
! \end{itemize}
! \item Den omvendte rekkefølgen:
! \begin{itemize}[<+->]
! \item \texttt{x\textasciicircum3\_0}, \(x^3_0\)
! \end{itemize}
! \item Karbon-14 skrevet slik:
! \begin{itemize}[<+->]
! \item \texttt{\{\}\_6\textasciicircum\{14\}\textbackslash
! mathrm C}, \({}_6^{14}\mathrm C\)
! \end{itemize}
! \item Omvendt rekkefølge:
! \begin{itemize}[<+->]
! \item \texttt{\{\}\textasciicircum\{14\}\_6\textbackslash
! mathrm C}, \({}^{14}_6\mathrm C\)
! \end{itemize}
! \item Karbon-14 med bedre resultat:
! \begin{itemize}[<+->]
! \item \texttt{\{\}\_\{\textbackslash
! phantom16\}\textasciicircum\{14\}\textbackslash mathrm C},
! \({}_{\phantom16}^{14}\mathrm C\)
! \end{itemize}
! \item Omvendt rekkefølge, men likevel vakkert:
! \begin{itemize}[<+->]
! \item \texttt{\{\}\textasciicircum\{14\}\_\{\textbackslash
! phantom16\}\textbackslash mathrm C},
! \({}^{14}_{\phantom16}\mathrm C\)
! \end{itemize}
\end{itemize}
\end{itemize}
\end{frame}
***************
*** 598,618 ****
\pause
\begin{multicols}{3}
\begin{itemize}[<+->]
! \item Med parentes
\begin{itemize}[<+->]
\item \texttt{(a(b))}
\item Textstyle: \((a(b))\)
\item Displaystyle: \[(a(b))\]
\end{itemize}
\columnbreak
! \item Med \texttt{\textbackslash cdot}
\begin{itemize}[<+->]
\item \texttt{a\textbackslash cdot\ b}
\item Textstyle: \(a\cdot b\)
\item Displaystyle: \[a\cdot b\]
\end{itemize}
\columnbreak
! \item Med \texttt{\textbackslash times}
\begin{itemize}[<+->]
\item \texttt{a\textbackslash times\ b}
\item Textstyle: \(a\times b\)
--- 634,654 ----
\pause
\begin{multicols}{3}
\begin{itemize}[<+->]
! \item Med parentes:
\begin{itemize}[<+->]
\item \texttt{(a(b))}
\item Textstyle: \((a(b))\)
\item Displaystyle: \[(a(b))\]
\end{itemize}
\columnbreak
! \item Med \texttt{\textbackslash cdot}:
\begin{itemize}[<+->]
\item \texttt{a\textbackslash cdot\ b}
\item Textstyle: \(a\cdot b\)
\item Displaystyle: \[a\cdot b\]
\end{itemize}
\columnbreak
! \item Med \texttt{\textbackslash times}:
\begin{itemize}[<+->]
\item \texttt{a\textbackslash times\ b}
\item Textstyle: \(a\times b\)
***************
*** 622,627 ****
--- 658,695 ----
\end{multicols}
\end{frame}
+ \begin{frame}%[allowframebreaks]
+ \frametitle{Multiplikasjon}
+ \pause
+ \begin{multicols}{2}
+ \begin{itemize}[<+->]
+ \item Vektorer og prikkprodukt:
+ \begin{itemize}[<+->]
+ \item \texttt{\textbackslash vec a\textbackslash
+ cdot\textbackslash vec b}
+ \item Textstyle: \(\vec a\cdot\vec b\)
+ \item Displaystyle: \[\vec a\cdot\vec b\]
+ \item \texttt{\textbackslash mathbf a\textbackslash
+ cdot\textbackslash mathbf b}
+ \item Textstyle: \(\mathbf a\cdot\mathbf b\)
+ \item Displaystyle: \[\mathbf a\cdot\mathbf b\]
+ \end{itemize}
+ \columnbreak
+ \item Vektorer og kryssprodukt:
+ \begin{itemize}[<+->]
+ \item \texttt{\textbackslash vec a\textbackslash
+ times\textbackslash vec b}
+ \item Textstyle: \(\vec a\times\vec b\)
+ \item Displaystyle: \[\vec a\times\vec b\]
+ \item \texttt{\textbackslash mathbf a\textbackslash
+ times\textbackslash mathbf b}
+ \item Textstyle: \(\mathbf a\times\mathbf b\)
+ \item Displaystyle: \[\mathbf a\times\mathbf b\]
+ \end{itemize}
+ \end{itemize}
+ \end{multicols}
+ \end{frame}
+
\section{Brøk}
\begin{frame}%[allowframebreaks]
\frametitle{Brøk}
***************
*** 639,645 ****
\frametitle{Røtter}
\pause
\begin{itemize}[<+->]
! \item Kvadratrot
\begin{itemize}[<+->]
\item \texttt{\textbackslash sqrt2}
\begin{itemize}[<+->]
--- 707,713 ----
\frametitle{Røtter}
\pause
\begin{itemize}[<+->]
! \item Kvadratrot:
\begin{itemize}[<+->]
\item \texttt{\textbackslash sqrt2}
\begin{itemize}[<+->]
***************
*** 652,658 ****
\item Displaystyle: \[\sqrt{a+b}\]
\end{itemize}
\end{itemize}
! \item N-te rot
\begin{itemize}[<+->]
\item \texttt{\textbackslash sqrt[3]\{a+b\}}
\begin{itemize}[<+->]
--- 720,726 ----
\item Displaystyle: \[\sqrt{a+b}\]
\end{itemize}
\end{itemize}
! \item N-te rot:
\begin{itemize}[<+->]
\item \texttt{\textbackslash sqrt[3]\{a+b\}}
\begin{itemize}[<+->]
***************
*** 668,680 ****
\frametitle{Integraler}
\pause
\begin{itemize}[<+->]
! \item Ubestemt integral
\begin{itemize}[<+->]
\item \texttt{\textbackslash int x\textasciicircum
! 2\textbackslash,\textbackslash mathrm\{d\}x}
! \item Textstyle: \(\int x^2\,\mathrm{d}x\)
! \item Displaystyle: \[\int x^2\,\mathrm{d}x\]
\end{itemize}
\end{itemize}
\end{frame}
--- 736,756 ----
\frametitle{Integraler}
\pause
\begin{itemize}[<+->]
! \item Ubestemt integral:
\begin{itemize}[<+->]
\item \texttt{\textbackslash int x\textasciicircum
! 2\textbackslash,\textbackslash mathrm dx}
! \item Textstyle: \(\int x^2\,\mathrm dx\)
! \item Displaystyle: \[\int x^2\,\mathrm dx\]
\end{itemize}
+ \item Ubestemt integral med utregning:
+ \begin{itemize}[<+->]
+ \item \texttt{\textbackslash int x\textasciicircum
+ 2\textbackslash,\textbackslash mathrm dx=\textbackslash
+ frac\{x\textasciicircum3\}\{3\}+C}
+ \item Textstyle: \(\int x^2\,\mathrm dx=\frac{x^3}{3}+C\)
+ \item Displaystyle: \[\int x^2\,\mathrm dx=\frac{x^3}{3}+C\]
+ \end{itemize}
\end{itemize}
\end{frame}
***************
*** 682,701 ****
\frametitle{Integraler}
\pause
\begin{itemize}[<+->]
! \item Bestemt integral
\begin{itemize}[<+->]
\item \texttt{\textbackslash int\_0\textasciicircum3x\textasciicircum
! 2\textbackslash,\textbackslash mathrm\{d\}x}
! \item Textstyle: \(\int_0^3x^2\,\mathrm{d}x\)
! \item Displaystyle: \[\int_0^3x^2\,\mathrm{d}x\]
\end{itemize}
! \item Alternativ formattering av bestemt integral
\begin{itemize}[<+->]
\item \texttt{\textbackslash int\textbackslash
limits\_0\textasciicircum3x\textasciicircum
! 2\textbackslash,\textbackslash mathrm\{d\}x}
! \item Textstyle: \(\int\limits_0^3x^2\,\mathrm{d}x\)
! \item Displaystyle: \[\int\limits_0^3x^2\,\mathrm{d}x\]
\end{itemize}
\end{itemize}
\end{frame}
--- 758,777 ----
\frametitle{Integraler}
\pause
\begin{itemize}[<+->]
! \item Bestemt integral:
\begin{itemize}[<+->]
\item \texttt{\textbackslash int\_0\textasciicircum3x\textasciicircum
! 2\textbackslash,\textbackslash mathrm dx}
! \item Textstyle: \(\int_0^3x^2\,\mathrm dx\)
! \item Displaystyle: \[\int_0^3x^2\,\mathrm dx\]
\end{itemize}
! \item Alternativ formattering av bestemt integral:
\begin{itemize}[<+->]
\item \texttt{\textbackslash int\textbackslash
limits\_0\textasciicircum3x\textasciicircum
! 2\textbackslash,\textbackslash mathrm dx}
! \item Textstyle: \(\int\limits_0^3x^2\,\mathrm dx\)
! \item Displaystyle: \[\int\limits_0^3x^2\,\mathrm dx\]
\end{itemize}
\end{itemize}
\end{frame}
***************
*** 705,751 ****
\frametitle{Derivasjon}
\pause
\begin{itemize}[<+->]
! \item Derivasjon
! \begin{itemize}[<+->]
! \item \texttt{\textbackslash frac\{\textbackslash
! mathrm\{d\}\}\{\textbackslash mathrm\{d\}x\}\textbackslash
! left(\textbackslash frac\{1\}\{x\}\textbackslash right)}
! \item Textstyle:
! \(\frac{\mathrm{d}}{\mathrm{d}x}\left(\frac{1}{x}\right)\)
! \item
! Displaystyle: \[\frac{\mathrm{d}}{\mathrm{d}x}\left(\frac{1}{x}\right)\]
! \end{itemize}
! \item Partiellderiverte
! \begin{itemize}[<+->]
! \item \texttt{f(x,y)=xe\textasciicircum y\textbackslash
! qquad\textbackslash frac\{\textbackslash partial
! f\}\{\textbackslash partial x\}=1\textbackslash cdot
! x\textasciicircum\{1-1\}\textbackslash cdot e\textasciicircum
! y=e\textasciicircum y\textbackslash qquad\textbackslash
! frac\{\textbackslash partial f\}\{\textbackslash partial
! y\}=x\textbackslash cdot e\textasciicircum y}
! \item Textstyle: \(f(x,y)=xe^y\qquad\frac{\partial f}{\partial
! x}=1\cdot x^{1-1}\cdot e^y=e^y\qquad\frac{\partial f}{\partial
! y}=x\cdot e^y\)
! \item Displaystyle: \[f(x,y)=xe^y\qquad\frac{\partial f}{\partial
! x}=1\cdot x^{1-1}\cdot e^y=e^y\qquad\frac{\partial f}{\partial
! y}=x\cdot e^y\]
! \end{itemize}
\end{itemize}
\end{frame}
\section{Summasjon og produkter}
\begin{frame}%[allowframebreaks]
\frametitle{Summasjon og produkter}
\pause
\begin{itemize}[<+->]
! \item Summasjon
\begin{itemize}[<+->]
\item \texttt{\textbackslash sum\_\{i=0\}\textasciicircum\{10\}x\_i}
\item Textstyle: \(\sum_{i=0}^{10}x_i\)
\item Displaystyle: \[\sum_{i=0}^{10}x_i\]
\end{itemize}
! \item Produkter
\begin{itemize}[<+->]
\item \texttt{\textbackslash prod\_\{i=0\}\textasciicircum\{10\}x\_i}
\item Textstyle: \(\prod_{i=0}^{10}x_i\)
--- 781,847 ----
\frametitle{Derivasjon}
\pause
\begin{itemize}[<+->]
! \item \texttt{f(x)=x\textasciicircum3\textbackslash qquad
! f'(x)=3x\textasciicircum2\textbackslash qquad f'{}'(x)=6x}
! \item Textstyle: \(f(x)=x^3\qquad f'(x)=3x^2\qquad f''(x)=6x\)
! \item Displaystyle: \[f(x)=x^3\qquad f'(x)=3x^2\qquad f''(x)=6x\]
\end{itemize}
\end{frame}
+ \begin{frame}%[allowframebreaks]
+ \frametitle{Derivasjon}
+ \pause
+ \begin{itemize}[<+->]
+ \item \texttt{\textbackslash frac\{\textbackslash mathrm
+ d\}\{\textbackslash mathrm dx\}\textbackslash ,\textbackslash
+ frac\{1\}\{x\}= -\textbackslash frac\{1\}\{x\textasciicircum2\}}
+ \item Textstyle: \(\frac{\mathrm d}{\mathrm
+ dx}\,\frac{1}{x}=-\frac{1}{x^2}\)
+ \item Displaystyle: \[\frac{\mathrm d}{\mathrm
+ dx}\,\frac{1}{x}=-\frac{1}{x^2}\]
+ \item \texttt{\textbackslash frac\{\textbackslash mathrm
+ d\}\{\textbackslash mathrm dx\}\textbackslash
+ left(\textbackslash frac\{1\}\{x\}\textbackslash right)=
+ -\textbackslash frac\{1\}\{x\textasciicircum2\}}
+ \item Textstyle: \(\frac{\mathrm d}{\mathrm
+ dx}\left(\frac{1}{x}\right)=-\frac{1}{x^2}\)
+ \item Displaystyle: \[\frac{\mathrm d}{\mathrm
+ dx}\left(\frac{1}{x}\right)=-\frac{1}{x^2}\]
+ \end{itemize}
+ \end{frame}
+
+ \begin{frame}%[allowframebreaks]
+ \frametitle{Derivasjon}
+ \pause
+ \begin{itemize}[<+->]
+ \item \texttt{f(x,y)=xe\textasciicircum y\textbackslash
+ qquad\textbackslash frac\{\textbackslash partial
+ f\}\{\textbackslash partial x\}=1\textbackslash cdot
+ x\textasciicircum\{1-1\}\textbackslash cdot e\textasciicircum
+ y=e\textasciicircum y\textbackslash qquad\textbackslash
+ frac\{\textbackslash partial f\}\{\textbackslash partial
+ y\}=x\textbackslash cdot e\textasciicircum y}
+ \item Textstyle: \(f(x,y)=xe^y\qquad\frac{\partial f}{\partial
+ x}=1\cdot x^{1-1}\cdot e^y=e^y\qquad\frac{\partial f}{\partial
+ y}=x\cdot e^y\)
+ \item Displaystyle: \[f(x,y)=xe^y\qquad\frac{\partial f}{\partial
+ x}=1\cdot x^{1-1}\cdot e^y=e^y\qquad\frac{\partial f}{\partial
+ y}=x\cdot e^y\]
+ \end{itemize}
+ \end{frame}
+
\section{Summasjon og produkter}
\begin{frame}%[allowframebreaks]
\frametitle{Summasjon og produkter}
\pause
\begin{itemize}[<+->]
! \item Summasjon:
\begin{itemize}[<+->]
\item \texttt{\textbackslash sum\_\{i=0\}\textasciicircum\{10\}x\_i}
\item Textstyle: \(\sum_{i=0}^{10}x_i\)
\item Displaystyle: \[\sum_{i=0}^{10}x_i\]
\end{itemize}
! \item Produkter:
\begin{itemize}[<+->]
\item \texttt{\textbackslash prod\_\{i=0\}\textasciicircum\{10\}x\_i}
\item Textstyle: \(\prod_{i=0}^{10}x_i\)
***************
*** 829,834 ****
--- 925,931 ----
\item Formler settes inn i noe à la:
\begin{verbatim}
\documentclass{article}
+ \usepackage{amsmath}\usepackage{amssymb}
\usepackage[utf8]{inputenc}\usepackage[T1]{fontenc}
\begin{document}
***************
*** 849,862 ****
\frametitle{Forviklinger i Fronter}
\pause
\begin{itemize}[<+->]
- \item Fronter tillater bare standard \LaTeX-symboler
\item Formeleditoren blinker for hvert eneste tastetrykk, også for
piltastene
\item «Fronterdokumenter» må åpnes i samme vindu/fane, ellers vises
ikke matematikken skikkelig
! \item La oss «lobbe» for \texttt{\textbackslash
! usepackage\{amsmath\}} og \texttt{\textbackslash
! usepackage\{amssymb\}}
\end{itemize}
\end{frame}
--- 946,959 ----
\frametitle{Forviklinger i Fronter}
\pause
\begin{itemize}[<+->]
\item Formeleditoren blinker for hvert eneste tastetrykk, også for
piltastene
\item «Fronterdokumenter» må åpnes i samme vindu/fane, ellers vises
ikke matematikken skikkelig
! \item Fysiske linjeskift i \LaTeX-koden blir ikke bevart mellom
! redigeringer
! \item Jeg savner en oversikt over hvilke pakker som er tilgjengelige
! i Fronter-\LaTeX
\end{itemize}
\end{frame}
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