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Diffstat (limited to 'macros/latex/contrib/fontsetup/doc')
-rw-r--r-- | macros/latex/contrib/fontsetup/doc/fontsetup-doc.pdf | bin | 747596 -> 805088 bytes | |||
-rw-r--r-- | macros/latex/contrib/fontsetup/doc/fontsetup-doc.tex | 20 | ||||
-rw-r--r-- | macros/latex/contrib/fontsetup/doc/fspsample-gfsdidot.pdf | bin | 38823 -> 31214 bytes | |||
-rw-r--r-- | macros/latex/contrib/fontsetup/doc/fspsample-newdefault.pdf | bin | 0 -> 44488 bytes | |||
-rw-r--r-- | macros/latex/contrib/fontsetup/doc/fspsample.pdf | bin | 0 -> 30402 bytes | |||
-rw-r--r-- | macros/latex/contrib/fontsetup/doc/fspsample.tex | 27 |
6 files changed, 29 insertions, 18 deletions
diff --git a/macros/latex/contrib/fontsetup/doc/fontsetup-doc.pdf b/macros/latex/contrib/fontsetup/doc/fontsetup-doc.pdf Binary files differindex 5526b3bbc9..b9ac41d8b6 100644 --- a/macros/latex/contrib/fontsetup/doc/fontsetup-doc.pdf +++ b/macros/latex/contrib/fontsetup/doc/fontsetup-doc.pdf diff --git a/macros/latex/contrib/fontsetup/doc/fontsetup-doc.tex b/macros/latex/contrib/fontsetup/doc/fontsetup-doc.tex index 285d2ee225..595db34e5e 100644 --- a/macros/latex/contrib/fontsetup/doc/fontsetup-doc.tex +++ b/macros/latex/contrib/fontsetup/doc/fontsetup-doc.tex @@ -9,8 +9,8 @@ \textit{by}\\[1ex] {\large Antonis Tsolomitis}\\ University of the Aegean\\ Department of Mathematics\\[1ex] - \textsc{24} May \textsc{2020}\\[1ex] - Version 1.003, \textsc{gpl3} + \textsc{24} June \textsc{2020}\\[1ex] + Version 1.004, \textsc{gpl3} \end{center} This package is a simple wrapper-type package that makes the setup of fonts easy and @@ -30,7 +30,8 @@ University of the Aegean\\ Department of Mathematics\\[1ex] \item[cambria] Loads the Cambria fonts of Microsoft. These must be already installed as a system font (in \verb|C:\Windows\Fonts| in MS-Windows, in \verb|/home/user/.fonts/| in Linux or elsewhere by the system administratior). - \item[default] Loads the NewComputerModern fonts, which is an assembly of cm fonts plus + \item[default] Loads the NewComputerModern fonts (in Book weight), + which is an assembly of cm fonts plus more fonts to support Greek (cbgreek) and Cyrillic languages. It also provides \begin{itemize} \item commands to access prosgegrammeni instead of ypogegrammeni for capitals and small @@ -42,7 +43,7 @@ University of the Aegean\\ Department of Mathematics\\[1ex] \item commands to access Sans Greek (upright and oblique) in math mode although these are not included in the unicode standard. The commands follow the unicode-math.sty notation, so to get $\msansLambda$ and $\mitsanspi$ you write \verb|$\msansLambda$| and \verb|$\mitsanspi$|. - \end{itemize} + \end{itemize} \item[ebgaramond] Loads the EB-Garamond fonts with Garamond-Math. \item[fira] Loads the Fira family, a sans-serif font. \item[gfsartemisia] Loads the GFSArtemisia, a font family designed to be used @@ -53,7 +54,7 @@ University of the Aegean\\ Department of Mathematics\\[1ex] letters are substituted from GFSDidotClassic to provide a better match. Notice that the Bold versions of the Greek fonts are faked using fontspec mechanism as the Greek part does not have bold versions. - \item[gfsdidot] Loads the GFSDidot fonts. Stix2 is the Mathematics font, but latin + \item[gfsdidot] Loads the GFSDidot fonts. NewCMMath-Book is the Mathematics font, but latin and greek letters are substituted from GFSdidot to provide a better match. \item[gfsneohellenic] Loads the GFSNeohellenic family with GFSNeohellenic-Math. \item[kerkis] Loads the kerkis font family and texgyrebonum-math. @@ -73,6 +74,7 @@ University of the Aegean\\ Department of Mathematics\\[1ex] from MS-Garamond. \item[neoeuler] Loads the Concrete fonts with the Euler for Mathematics. Needs euler.otf to be instaled in the TeX installation. + \item[olddefault] Loads the NewComputerModern fonts (in Regular weight), \item[palatino] Loads the Linotype Palatino Fonts available from some versions of Windows. Thefonts must be system installed (in \verb|C:\Windows\Fonts| in MS-Windows, in \verb|/home/user/.fonts/| in Linux or elsewhere by the system administratior). The supplied @@ -150,6 +152,12 @@ Cambria Fonts must be installed as system fonts\\[1cm] \begin{center} {\Large ComputerModern fonts: option \verb|default|}\\[1cm] +\includegraphics[scale=1.2]{fspsample-newdefault.pdf} +\end{center} +\newpage + +\begin{center} +{\Large ComputerModern fonts (Book weight): option \verb|olddefault|}\\[1cm] \includegraphics[scale=1.2]{fspsample-cmr.pdf} \end{center} @@ -184,7 +192,7 @@ Cambria Fonts must be installed as system fonts\\[1cm] \newpage \begin{center} -{\Large GFSDidot and Stix2Math: option \verb|gfsdidot|}\\[1cm] +{\Large GFSDidot and NewCMMath-Book: option \verb|gfsdidot|}\\[1cm] \includegraphics[scale=1.2]{fspsample-gfsdidot.pdf} \end{center} diff --git a/macros/latex/contrib/fontsetup/doc/fspsample-gfsdidot.pdf b/macros/latex/contrib/fontsetup/doc/fspsample-gfsdidot.pdf Binary files differindex 0a9f49edc2..852ae5eb95 100644 --- a/macros/latex/contrib/fontsetup/doc/fspsample-gfsdidot.pdf +++ b/macros/latex/contrib/fontsetup/doc/fspsample-gfsdidot.pdf diff --git a/macros/latex/contrib/fontsetup/doc/fspsample-newdefault.pdf b/macros/latex/contrib/fontsetup/doc/fspsample-newdefault.pdf Binary files differnew file mode 100644 index 0000000000..a856f5b7c4 --- /dev/null +++ b/macros/latex/contrib/fontsetup/doc/fspsample-newdefault.pdf diff --git a/macros/latex/contrib/fontsetup/doc/fspsample.pdf b/macros/latex/contrib/fontsetup/doc/fspsample.pdf Binary files differnew file mode 100644 index 0000000000..4fe1dc44ea --- /dev/null +++ b/macros/latex/contrib/fontsetup/doc/fspsample.pdf diff --git a/macros/latex/contrib/fontsetup/doc/fspsample.tex b/macros/latex/contrib/fontsetup/doc/fspsample.tex index b978369854..5a8f9f0463 100644 --- a/macros/latex/contrib/fontsetup/doc/fspsample.tex +++ b/macros/latex/contrib/fontsetup/doc/fspsample.tex @@ -1,3 +1,6 @@ +%% after xelatex run +%% pdfcrop fspsample.pdf output.pdf +%% to crop it \documentclass{article} \pagestyle{empty} \usepackage{xgreek,graphicx} @@ -24,7 +27,7 @@ %\usepackage[minion]{fontsetup} %\usepackage[neoeuler]{fontsetup} %\usepackage[libertinus]{fontsetup} - +%\usepackage[olddefault]{fontsetup} @@ -38,21 +41,21 @@ %Let $g$ be an Assume that $g$ is an in\-te\-grable func\-tion defined on the measurable set $E$ and hat - $(f_n)_{n\in\mathbb N}$ is a sequence of mea\-sur\-able function so that - $|f_n|\leq g$. If $f$ is a function so that $f_n\to f$ almost everywhere + $(\,f_n)_{n\in\mathbb N}$ is a sequence of mea\-sur\-able function so that + $|\,f_n|\leq g$. If $f$ is a function so that $f_n\to f$ almost everywhere then $$\lim_{n\to\infty}\int f_n=\int f.$$ \end{theorem} \textit{Proof}: The function $g-f_n$ is non-negative and thus from Fatou lemma -we have that $\int(g-f)\leq\liminf\int(g-f_n)$. Since $|f|\leq g$ and -$|f_n|\leq g$ the functions $f$ and $f_n$ are integrable and we have -$$\int g-\int f\leq \int g-\limsup\int f_n,$$ so -$$\int f\geq \limsup \int f_n.$$ +we have that $\int(g-f\,)\leq\liminf\int(g-f_n)$. Since $|\,f\,|\leq g$ and +$|\,f_n|\leq g$ the functions $f$ and $f_n$ are integrable and we have +$$\int g-\int f\,\leq \int g-\limsup\int f_n,$$ so +$$\int f\,\geq \limsup \int f_n.$$ \par \begin{theoremg}[Κυριαρχημένης σύγκλισης του Lebesgue] Έστω ότι η $g$ είναι μια ολοκληρώσιμη συνάρτηση ορισμένη στο μετρήσιμο σύνολο -$E$ και η $(f_n)_{n\in\mathbb N}$ είναι μια ακολουθία μετρήσιμων συναρτήσεων ώστε -$|f_n| ≤ g$. Υποθέτουμε ότι υπάρχει μια συνάρτηση $f$ +$E$ και η $(\,f_n)_{n\in\mathbb N}$ είναι μια ακολουθία μετρήσιμων συναρτήσεων ώστε +$|\,f_n| ≤ g$. Υποθέτουμε ότι υπάρχει μια συνάρτηση $f$ ώστε η $(f_n)_{n\in\mathbb N}$ να τείνει στην $f$ σχεδόν παντού. Τότε $$\lim \int f_n =\int f.$$ @@ -60,10 +63,10 @@ $$\lim \int f_n =\int f.$$ \textit{Απόδειξη}: Η συνάρτηση $g − f_n$ είναι μη αρνητική και άρα από το Λήμμα του Fatou ισχύει $\int (f-g) ≤ \liminf \int (g-f_n)$. Επειδή -$|f| ≤ g$ και $|f_n| ≤g$ οι $f$ και $f_n$ είναι ολοκληρώσιμες, έχουμε -$$\int g −\int f ≤ \int g − \limsup\int f_n,$$ +$|\,f\,| ≤ g$ και $|\,f_n| ≤g$ οι $f$ και $f_n$ είναι ολοκληρώσιμες, έχουμε +$$\int g −\int f\, ≤ \int g − \limsup\int f_n,$$ άρα -$$\int f\geq \limsup \int f_n.$$ +$$\int f\,\geq \limsup \int f_n.$$ |