diff options
author | Karl Berry <karl@freefriends.org> | 2010-01-17 23:44:23 +0000 |
---|---|---|
committer | Karl Berry <karl@freefriends.org> | 2010-01-17 23:44:23 +0000 |
commit | 1f5d5aecc9a0afaf88d196f4957d29cad92603b3 (patch) | |
tree | 057f71fd3d064b89ff6b81356a9bc4372887fda9 /Master/texmf-dist/doc | |
parent | 9b502b8cb4a1074839fecf97df4bec87473f357b (diff) |
new font package txfontsb 1.00 (17jan10)
git-svn-id: svn://tug.org/texlive/trunk@16763 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc')
-rw-r--r-- | Master/texmf-dist/doc/fonts/txfontsb/README | 7 | ||||
-rw-r--r-- | Master/texmf-dist/doc/fonts/txfontsb/txfontsb.pdf | bin | 0 -> 71695 bytes | |||
-rw-r--r-- | Master/texmf-dist/doc/fonts/txfontsb/txfontsb.tex | 300 |
3 files changed, 307 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/fonts/txfontsb/README b/Master/texmf-dist/doc/fonts/txfontsb/README new file mode 100644 index 00000000000..a13ee540993 --- /dev/null +++ b/Master/texmf-dist/doc/fonts/txfontsb/README @@ -0,0 +1,7 @@ +Initial release (v1.0/20/Dec/2009) of txfontsb package adding true small caps +and greek to txfonts package. + +Go to the doc sudirectory for instructions. + +A. Tsolomitis. + diff --git a/Master/texmf-dist/doc/fonts/txfontsb/txfontsb.pdf b/Master/texmf-dist/doc/fonts/txfontsb/txfontsb.pdf Binary files differnew file mode 100644 index 00000000000..b2cac9e7e03 --- /dev/null +++ b/Master/texmf-dist/doc/fonts/txfontsb/txfontsb.pdf diff --git a/Master/texmf-dist/doc/fonts/txfontsb/txfontsb.tex b/Master/texmf-dist/doc/fonts/txfontsb/txfontsb.tex new file mode 100644 index 00000000000..6765a936fe0 --- /dev/null +++ b/Master/texmf-dist/doc/fonts/txfontsb/txfontsb.tex @@ -0,0 +1,300 @@ +\documentclass{article} +\usepackage[polutonikogreek,english]{babel} +\usepackage[iso-8859-7]{inputenc} +\usepackage{txfontsb} +\newcommand{\uishape}{\relax} +\newcommand{\tabnums}{\relax} +\newcommand{\textfrac}[2]{\ensuremath\frac{#1}{#2}} + +%%%%% Theorems and friends +\newtheorem{theorem}{Θεώρημα}[section] +\newtheorem{lemma}[theorem]{Λήμμα} +\newtheorem{proposition}[theorem]{Πρόταση} +\newtheorem{corollary}[theorem]{Πόρισμα} +\newtheorem{definition}[theorem]{Ορισμός} +\newtheorem{remark}[theorem]{Παρατήρηση} +\newtheorem{axiom}[theorem]{Αξίωμα} +\newtheorem{exercise}[theorem]{Άσκηση} + + +%%%%% Environment ``proof'' +\newenvironment{proof}[1]{{\textit{Απόδειξη:}}}{\ \hfill$\Box$} +\newenvironment{hint}[1]{{\textit{Υπόδειξη:}}}{\ \hfill$\Box$} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\title{The \textsc{txfontsb} package} +\author{Antonis Tsolomitis\\ +Laboratory of Digital Typography\\ and Mathematical Applications\\ +Department of Mathematics\\ +University of the Aegean} +\date {\textsc{20} December \textsc{2009}} + + +\begin{document} +\maketitle + +\section{Introduction} + + +The txfontsb package is an extension of the txfonts package. +Mainly it adds two things: +\begin{itemize} +\item true small caps and old style numbers for the OT1 encoding + (through the \verb|\textsc| and \verb|\scshape| commands), and an + oblique small caps shape (through the \verb|\textscsl| and + \verb|\scslshape| commands). +\item Greek support (LGR encoding) supporting monotonic and polytonic + systems through the Babel package. This also includes true small + caps for the Greek letters. +\end{itemize} + +The greek shapes are based on the Free Font of \textsc{gnu}. However +since Babel composes the Greek accented characters using the ligature +mechanism, we had to modify the original GNU fonts, and this is the +reason that they have been renamed as FreeSerifb (instead of FreeSerif). + +Moreover, kerning information has been added for Greek letters that was +missing from the original FreeSerif font. + +The fonts are loaded with + +\verb|\usepackage{txfontsb}|. + +The package has two one option: +\begin{itemize} +\item the option \verb|Upsionalt| uses an +alternative shape for the Greek capital and small capital Upsilon. +\end{itemize} + + +\newcommand{\textscy}[1]{{\fontfamily{txryc}\fontshape{sc}\selectfont#1}} +\font\Ualt gtimesysc6a at 10 pt +\greektext +\begin{center} +\begin{tabular}{c|cccc} +\ &\textlatin{Kerned (default)} & \textlatin{Unkerned} +&\textlatin{Kerned SC (default)} & \textlatin{Unkerned}\\\hline +\ &\ &\ &\ &\ \\[-2ex] +\textlatin{Default Upsilon} &ΑΫΛΟΣ &Α{Ϋ}ΛΟΣ &\textsc{Αϋλος} &\textsc{Α{ϋ}λος}\\ +\textlatin{Upsilonalt} &{\Ualt ΑΫΛΟΣ} &{\Ualt Α{Ϋ}ΛΟΣ} &\textscy{Αϋλος} &\textscy{Α{ϋ}λος}\\ +\end{tabular} +\end{center} +\latintext + + + + + +\section{Installation} + +Copy the contents of the subdirectory afm in +texmf/fonts/afm/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent Copy the contents of the subdirectory doc in +texmf/doc/latex/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent Copy the contents of the subdirectory enc in +texmf/fonts/enc/dvips/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent Copy the contents of the subdirectory map in +texmf/fonts/map/dvips/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent Copy the contents of the subdirectory tex in +texmf/tex/latex/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent Copy the contents of the subdirectory tfm in +texmf/fonts/tfm/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent Copy the contents of the subdirectory type1 in +texmf/fonts/type1/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent Copy the contents of the subdirectory vf in +texmf/fonts/vf/GNU/FreeFont/FreeSerifb/ + +\medskip + +\noindent In your installations updmap.cfg file add the line + +\medskip + +\noindent Map gptimes.map + +\medskip + +Refresh your filename database and the map file database (for example, on Unix systems +run mktexlsr and then run the updmap script as root). + +You are now ready to use the fonts provided that you have a relatively +modern installation that includes txfonts. + +\section{Usage} + +As said in the introduction the package covers both english (txfonts) and +greek. Greek covers polytonic too, through babel (read the +documentation +of the babel package and its greek option). + +For example, the preample + +\begin{verbatim} +\documentclass{article} +\usepackage[english,greek]{babel} +\usepackage[iso-8859-7]{inputenc} +\usepackage{txfontsb} +\end{verbatim} + +will be the correct setup for articles in Greek. + +\bigskip + +\section{Old style numbers} + +Old style numbers are accesed with the \verb|\textsc| command: + +\medskip + +\noindent The command \verb|\textsc{0123456789}| gives \textsc{0123456789}. + +\section{Samples} + +The next two pages provide samples in english (just txfonts) and greek with math. + + +\newpage + +Adding up these inequalities with respect to $i$, we get +\begin{equation} \sum c_i d_i \leq \frac1{p} +\frac1{q} =1\label{10}\end{equation} +since $\sum c_i^p =\sum d_i^q =1$.\hfill$\Box$ + +In the case $p=q=2$ +the above inequality is also called the +\textit{Cauchy-Schwartz inequality}. + +Notice, also, that by formally defining $\left( \sum |b_k|^q\right)^{1/q}$ to be +$\sup |b_k|$ for $q=\infty$, we give sense to (9) for all +$1\leq p\leq\infty$. + + +A similar inequality is true for functions instead of sequences with the sums +being substituted by integrals. + +\medskip + +\textbf{Theorem} {\itshape Let $1<p<\infty$ and let $q$ be such that $1/p +1/q =1$. Then, +for all functions $f,g$ on an interval $[a,b]$ +such that the integrals $\int_a^b |f(t)|^p\,dt$, $\int_a^b |g(t)|^q\,dt$ and +$\int_a^b |f(t)g(t)|\,dt$ exist \textup{(}as Riemann integrals\textup{)}, +we have +\begin{equation} +\int_a^b |f(t)g(t)|\,dt\leq +\biggl(\int_a^b |f(t)|^p\,dt\biggr)^{1/p} +\biggl(\int_a^b |g(t)|^q\,dt\biggr)^{1/q} . +\end{equation} +} + +Notice that if the Riemann integral $\int_a^b f(t)g(t)\,dt$ also exists, then +from the inequality $\left|\int_a^b f(t)g(t)\,dt\right|\leq +\int_a^b |f(t)g(t)|\,dt$ follows that +\begin{equation} +\left|\int_a^b f(t)g(t)\,dt\right|\leq +\biggl(\int_a^b |f(t)|^p\,dt\biggr)^{1/p} +\biggl(\int_a^b |g(t)|^q\,dt\biggr)^{1/q} . +\end{equation} + + + +\textit{Proof:} Consider a partition of the interval $[a,b]$ in $n$ equal +subintervals with endpoints +$a=x_0<x_1<\cdots<x_n=b$. Let $\Delta x=(b-a)/n$. +We have +\begin{eqnarray} +\sum_{i=1}^n |f(x_i)g(x_i)|\Delta x &\leq& +\sum_{i=1}^n |f(x_i)g(x_i)|(\Delta x)^{\frac1{p}+\frac1{q}}\nonumber\\ +&=&\sum_{i=1}^n \left(|f(x_i)|^p \Delta x\right)^{1/p} \left(|g(x_i)|^q +\Delta x\right)^{1/q}.\label{functionalHolder1}\\ \nonumber +\end{eqnarray} + +\newpage\greektext + + +% $\bullet$ Μήκος τόξου καμπύλης + +% \begin{proposition}\label{chap2:sec1:prop 23} +% Έστω $\gamma$ καμπύλη με παραμετρική εξίσωση $x=g(t)$, $y=f(t)$, +% $t\in [a,\,b]$ αν $g'$, $f'$ συνεχείς στο $[a,\,b]$ τότε η +% $\gamma$ έχει μήκος $S=L(\gamma)=\int_a^b \sqrt{g'(t)^2+f'(t)^2} +% dt$. +% \end{proposition} + +\textbullet\ Εμβαδόν επιφάνειας από περιστροφή\\ + +\begin{proposition}\label{chap2:sec1:prop23-2} +Έστω $\gamma$ καμπύλη με παραμετρική εξίσωση $x=g(t)$, $y=f(t)$, +$t\in [a,\,b]$ αν $g'$, $f'$ συνεχείς στο $[a,\,b]$ τότε το +εμβαδόν από περιστροφή της $\gamma$ γύρω από τον $xx'$ δίνεται \\ +$Β=2\pi\int_a^b |f(t)| \sqrt{g'(t)^2+f^{\prime}(t^2)} dt$. \\ Αν η +$\gamma$ δίνεται από την $y=f(x)$, $x\in [a,\,b]$ τότε +$Β=2\pi\int_a^b |f(t)| \sqrt{1+f'(x)^2} dx$ +\end{proposition} + +\textbullet\ Όγκος στερεών από περιστροφή\\ Έστω $f : +[a,\,b]\rightarrow \mathbb{R}$ συνεχής και $R=\{f, Ox,x=a,x=b\}$ +είναι ο όγκος από περιστροφή του γραφήματος της $f$ γύρω από τον +$Ox$ μεταξύ των ευθειών $x=a$, και $x=b$, τότε $V=\pi\int_a^b f +(x)^2 dx$ + +\textbullet\ Αν $f,g : [a,\,b]\rightarrow \mathbb{R}$ και $0\leq +g(x)\leq f(x)$ τότε ο όγκος στερεού που παράγεται από περιστροφή +των γραφημάτων των $f$ και $g$, $R=\{f,g, Ox,x=a,x=b\}$ είναι \\ +$V=\pi\int_a^b\{ f (x)^2-g(x)^2\} dx$. + +\textbullet\ Αν $x=g(t)$, $y=f(t)$, $t=[t_1,\,t_2]$ τότε +$V=\pi\int_{t_1}^{t_2}\{ f (t)^2 g'(t)\} dt$ για $g(t_1)=a$, +$g(t_2)=b$. + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Ασκήσεις}\label{chap2:sec2} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{exercise}\label{chap2:ex1} +Να εκφραστεί το παρακάτω όριο ως ολοκλήρωμα $Riemann$ κατάλ\-ληλης +συνάρτησης\\ +$$\lim_{n\rightarrow\infty} \frac{1}{n}\sum_{k=1}^{n}\sqrt[n]{e^k} $$ +\end{exercise} +%%%%%%%%% +\textit{Υπόδειξη:} +Πρέπει να σκεφτούμε μια συνάρτηση της οποίας γνωρίζουμε ότι υπάρχει το ολοκλήρωμα. + Τότε παίρνουμε μια διαμέριση $P_n$ και δείχνουμε π.χ.\ ότι το $U(f,P_n)$ είναι η ζητούμενη σειρά. + +\bigskip + +%%%%%%%%%%%%%% +\textit{Λύση:} +Έχουμε ότι +\begin{eqnarray}\frac{1}{n}\sum_{k=1}^{n}\sqrt[n]{e^k} = +\frac{1}{n}\sqrt[n]{e}+\frac{1}{n}\sqrt[n]{e^2}+\cdots + +\frac{1}{n}\sqrt[n]{e^n}\nonumber\\ +=\frac{1}{n}e^{\frac{1}{n}}+\frac{1}{n}e^{\frac{2}{n}}+\cdots+\frac{1}{n}e^{\frac{n}{n}}\nonumber +\end{eqnarray} + +\end{document} +%%% Local Variables: +%%% mode: latex +%%% TeX-master: t +%%% End: |