From: K. <kl...@ma...> - 2002-11-16 11:19:41
|
Hi, I noticed that for some latex files the font used for the preview is of the right color (in my case white on black) while for others, it is not (black on black). As an example of the first beahavior I attached exple2.tex, and exple1.tex as an example of the second behavior. The problem seems to be coming from the packages loaded in the exple1.tex Best, F Emacs : GNU Emacs 21.2.1 (i586-pc-linux-gnu, X toolkit) of 2002-08-29 on alpha.maison.fr Package: CVS-1.169 current state: =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D Output from running `gs -h': GNU Ghostscript 6.51 (2001-03-28) Copyright (C) 2001 artofcode LLC, Benicia, CA. All rights reserved. Usage: gs [switches] [file1.ps file2.ps ...] Most frequently used switches: (you can use # in place of =3D) -dNOPAUSE no pause after page | -q `quiet', fewer mess= ages -g<width>x<height> page size in pixels | -r<res> pixels/inch resolut= ion -sDEVICE=3D<devname> select device | -dBATCH exit after last f= ile -sOutputFile=3D<file> select output file: - for stdout, |command for pip= e, embed %d or %ld for page # Input formats: PostScript PostScriptLevel1 PostScriptLevel2 PDF Available devices: bmpmono bmpgray bmpsep1 bmpsep8 bmp16 bmp256 bmp16m bmp32b imagen iwhi iwlo iwlq lbp8 lips3 m8510 necp6 oki182 ln03 dl2100 okiibm oki4w ibmpr= o omni hpijs DJ630 DJ6xx DJ6xxP DJ8xx DJ9xx DJ9xxVIP AP21xx ap3250 apple= dmp epson epsonc eps9mid eps9high la50 la70 la75 la75plus escp hl7x0 hl124= 0 hl1250 gdi deskjet djet500 laserjet ljetplus ljet2p ljet3 ljet3d ljet4 ljet4d lj5mono lj5gray paintjet pjetxl cdeskjet cdjcolor cdjmono cdj55= 0 pj pjxl pjxl300 pcl3 hpdjplus hpdjportable hpdj310 hpdj320 hpdj340 hpdj400 hpdj500 hpdj500c hpdj510 hpdj520 hpdj540 hpdj550c hpdj560c hpdj600 hpdj660c hpdj670c hpdj680c hpdj690c hpdj850c hpdj855c hpdj870c hpdj890c hpdj1120c uniprint cp50 declj250 dnj650c lj4dith lj250 lq850 lp8000 lp2563 oce9050 bj10e bj200 bjc600 bjc800 cdj500 cdj670 cdj850 cdj890 cdj1600 cdj880 cdj970 jetp3852 st800 xes stcolor stp alc8500 alc2000 epl5800 epl2050 epl2050p md2k md5k lex5700 lex7000 lxm5700m lx5000 lxm3200 ljet4pjl lj4dithp dj505j picty180 pr201 pr150 pr1000 pr1000_4 jj100 bj10v bj10vh mag16 mag256 mj700v2c mj500c mj6000c mj800= 0c fmpr fmlbp ml600 lbp310 lbp320 lips2p bjc880j lips4 lips4v bbox escpag= e lp2000 npdl md50Mono md50Eco md1xMono faxg3 faxg32d faxg4 cfax r4081 s= j48 t4693d2 t4693d4 t4693d8 tek4696 dfaxlow dfaxhigh sxlcrt pcxmono pcxgra= y pcx16 pcx256 pcx24b pcxcmyk pbm pbmraw pgm pgmraw pgnm pgnmraw pnm pnm= raw ppm ppmraw pkm pkmraw pksm pksmraw tiffcrle tiffg3 tiffg32d tiffg4 tifflzw tiffpack tiff12nc tiff24nc psmono psgray psrgb bit bitrgb bitc= myk pngmono pnggray png16 png256 png16m jpeg jpeggray pdfwrite pswrite epswrite pxlmono pxlcolor chp2200 cljet5 cljet5c nullpage x11 x11alpha x11cmyk x11cmyk2 x11cmyk4 x11cmyk8 x11gray2 x11gray4 x11mono Search path: . : /usr/share/ghostscript/6.51/lib : /usr/share/ghostscript/6.51/vfli= b : /usr/share/ghostscript/6.51 : /usr/share/fonts/default/ghostscript : /usr/share/fonts/default/Type1 : /usr/share/ghostscript/fonts For more information, see /usr/share/doc/ghostscript-6.51/Use.htm. Report bugs to bu...@gh..., using the form in Bug-form.htm. (setq AUC-TeX-version "11.11" image-types '(png gif tiff jpeg xpm pbm postscript xbm) preview-image-type 'png preview-image-creators '((postscript (open preview-eps-open) (place prev= iew-eps-place)) (png (open preview-gs-open png ("-sDEVICE=3Dpng16m")) (place preview-gs-place) (close preview-gs-close)) (jpeg (open preview-gs-open jpeg ("-sDEVICE=3Djpeg")) (place preview-gs-place) (close preview-gs-close)) (pnm (open preview-gs-open pbm ("-sDEVICE=3Dpnmraw")) (place preview-gs-place) (close preview-gs-close)) (tiff (open preview-gs-open tiff ("-sDEVICE=3Dtiff12nc")) (place preview-gs-place) (close preview-gs-close)) ) preview-gs-command "gs" preview-gs-options '("-q" "-dSAFER" "-dDELAYSAFER" "-dNOPAUSE" "-DNOPLAT= FONTS" "-dTextAlphaBits=3D4" "-dGraphicsAlphaBits=3D4") preview-fast-conversion t preview-prefer-TeX-bb nil preview-dvips-command "dvips -Pwww -i -E %d -o %m/preview.000" preview-fast-dvips-command "dvips -Pwww %d -o %m/preview.ps" preview-scale-function 'preview-scale-from-face preview-LaTeX-command "%l \"\\nonstopmode\\PassOptionsToPackage{auctex,a= ctive,dvips}{preview}\\AtBeginDocument{\\ifx\\ifPreview\\undefined%D\\fi}= \\input{%t}\"" preview-default-option-list '("displaymath" "floats" "graphics" "textmat= h" "sections") preview-default-preamble '("\\RequirePackage[%P]{preview}") ) --=20 -------------------------------------------------------------------------= - | Fr=E9d=E9ric Klopp | T=E9l: 33/0-1-49-40-40-88 (Int./Na= t.) | | LAGA, Institut Galil=E9e | Fax: 33/0-1-49-40-35-68 (Int./Nat.) = | | Universit=E9 Paris-Nord | Homepage: | | F-93430 Villetaneuse, FRANCE | http://zeus.math.univ-paris13.fr/~klopp = | -------------------------------------------------------------------------= - =3D=3D=3DFile ~/exple1.tex=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D \documentclass[11pt]{amsart} % \usepackage[dvips,colorlinks=3Dtrue,linkcolor=3Dblue]{hyperref} % Pour en faire un pdf, utiliser dvipdf \usepackage[light]{draftcopy} %\usepackage{pstricks,pst-plot} %\usepackage[dvips]{graphicx} %\usepackage{subfigure,graphicx,caption2} %\usepackage[notref]{showkeys} %\usepackage[vflt]{floatflt} % \setlength{\topmargin}{-2cm} \setlength{\textheight}{25cm} \setlength{\oddsidemargin}{-0.5cm} \setlength{\evensidemargin}{-0.5cm} \setlength{\textwidth}{17cm} \setlength{\parindent}{.9cm} \pagestyle{plain} % \numberwithin{equation}{section} %%%%%%%%%%%% Commandes Maths %%%%%%%%%%%%% \newcommand{\car}{\mathbf{1}} \newcommand{\R}{\mathbb{R}} \newcommand{\Rd}{\mathbb{R}^d} \newcommand{\Spd}{\mathbb{S}^d} \newcommand{\T}{\mathbb{T}} \newcommand{\N}{\mathbb{N}} \newcommand{\Td}{\mathbb{T}^d} \newcommand{\Z}{\mathbb{Z}} \newcommand{\Zd}{\mathbb{Z}^d} \newcommand{\n}{\mathbb{N}} \newcommand{\C}{\mathbb{C}} \newcommand{\Cd}{\mathbb{C}^d} \newcommand{\Q}{\mathbb{Q}} \newcommand{\ch}{\mathrm{ch}} \newcommand{\sh}{\mathrm{sh}} \renewcommand{\th}{\mathrm{th}} \newcommand{\argsh}{\mathrm{argsh}} \newcommand{\argch}{\mathrm{argch}} \newcommand{\argth}{\mathrm{argth}} \newcommand{\argcoth}{\mathrm{argcoth}} \newcommand{\vers}{\operatornamewithlimits{\to}} \newcommand{\equ}{\operatornamewithlimits{\sim}} \newcommand{\D}{\displaystyle}=20 \newcommand{\Scp}{{\mathcal S}'} \newcommand{\Sc}{{\mathcal S}} \newcommand{\Coi}{{\mathcal C}_0^{\infty}} \newcommand{\esp}{\mathbb{E}} \newcommand{\pro}{\mathbb{P}} \newcommand{\Tr}{\text{tr}} \newcommand{\vol}{\text{Vol}} \newcommand{\F}{{\mathcal F}} %%%%%%%%%%%% Commandes TeX %%%%%%%%%%%%% \theoremstyle{plain} \newtheorem{Th}{Theorem}[section] \newtheorem{Le}{Lemma}[section] \newtheorem{Pro}{Proposition}[section] \newtheorem{Cor}{Corollary}[section] \theoremstyle{definition} \newtheorem{Rem}{Remark}[section] % \title{exple} \author{Fr{\'e}d{\'e}ric Klopp} \address[Fr{\'e}d{\'e}ric Klopp]{LAGA, U.M.R. 7539 C.N.R.S, Institut Gali= l{\'e}e, Universit{\'e} de Paris-Nord, 99 Avenue J.-B. Cl{\'e}ment, F-93430 Villetaneuse, France} \email{\href{mailto:kl...@ma...}{klopp@math.univ-paris13.f= r}} % \begin{document} % \begin{Le} \label{le:1} The function $b\mapsto\mathcal{E}_n(b):=3D\inf\sigma(\Pi_nV\Pi_n)$ is continuous. Here, we consider the operator $\Pi_nV\Pi_n$ as acting on $\Pi_n L^2(\R^2)$ \end{Le} % \noindent{\bf Proof.} Let us first prove that it is upper semi-continuous. Fix $b_0>0$ and $\varepsilon\in(0,1)$. As $\Pi_n(b_0)V\Pi_n(b_0)$ and $\Pi_n(b_0)$ are bounded, there exists a sequence $(\varphi_l)_{l\in\N}$ of $\Coi$ functions such that $\Vert\Pi_n(b_0)\varphi_n\Vert=3D1$, and such that $\Vert(\Pi_n(b_0)V \Pi_n(b_0)-\mathcal{E}_n(b_0))\varphi_l\Vert\to0$. So, for some $l_0\in\N$, one has $\langle\Pi_n(b_0)V\Pi_n(b_0)\varphi_{l_0}, \varphi_{l_0}\rangle \leq\mathcal{E}_n(b_0)+\varepsilon/2$. On the other hand, $b\mapsto\Pi_n(b)\varphi_{l_0}$ is continuous as an $L^2(\R^d)$-valued function (as the the resolvent of the Landau model is strongly continuous as a function of $b$ (see e.g.~\cite{MR80k:35054}). Hence, there exists $\delta>0$ such that for $|b-b_0|<\delta$, one has $\Vert(\Pi_n(b)-\Pi_n(b_0))\varphi_{l_0} \Vert\leq\varepsilon/6$. This implies that, for $|b-b_0|<\delta$, if we set $\varphi=3D\Vert\Pi_n(b) \varphi_{l_0}\Vert^{-1}\Pi_n(b) \varphi_{l_0}$ then $\langle\Pi_n(b)V \Pi_n(b)\varphi,\varphi\rangle \leq\mathcal{E}_n(b_0)+\varepsilon$. Hence, for $|b-b_0|<\delta$, one has $\mathcal{E}_n(b)\leq\mathcal{E}_n(b_0)+\varepsilon$. % \par Let us now prove that it is lower semi-continuous. Therefore, we use a result of~\cite{MR87e:81039}, namely, % \begin{Th}[\cite{MR87e:81039}] \label{thr:1} Let $W$ be a bounded potential. If $[a,b]\cap\sigma(H_L(b_0)+W)=3D\emptyset$, then for $b$ sufficiently close to $b_0$, one has $[a,b]\cap\sigma(H_L(b)+W)=3D\emptyset$. \end{Th} % Consider the operator $H_L(b)+\lambda V$ for $\lambda$ positive small. Clearly as $V$ is bounded, its spectrum is contained in $\cup_{n\geq0}[2nb+b-\lambda|V|,2nb+b+\lambda|V|]$. For $\lambda|V|<b$, let $\mathcal{E}_n(b,\lambda)$ be the infimum of $H_L(b)+\lambda V$ restricted to the spectral interval $[2nb+b-\lambda|V|,2nb+b+\lambda|V|]$. The function $\lambda\mapsto\mathcal{E}_n(b,\lambda)$ is continuous. Moreover, perturbation theory (projecting onto the $n$-th Landau level) gives that, for $\lambda$ small, % \bibliographystyle{plain} \bibliography{biblio} % \end{document} %%% Local Variables:=20 %%% mode: latex %%% TeX-master: t %%% End:=20 =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D =3D=3D=3DFile ~/exple2.tex=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D \documentclass[12pt]{article} \usepackage{amsthm} \usepackage{amssymb} \usepackage{amsfonts} \usepackage[leqno]{amsmath} \usepackage{french} \setlength{\topmargin}{0cm} \setlength{\textheight}{23cm} \setlength{\oddsidemargin}{0cm} % 2cm \setlength{\evensidemargin}{0cm} % 0cm \setlength{\textwidth}{16cm} %14cm \setlength{\parindent}{1cm} \pagestyle{plain} %%%%%%%%%%%% Commandes Maths %%%%%%%%%%%%% \newcommand{\car}{\mathbf{1}} \newcommand{\R}{\mathbb{R}} \newcommand{\Rd}{\mathbb{R}^d} \newcommand{\Spd}{\mathbb{S}^d} \newcommand{\T}{\mathbb{T}} \newcommand{\N}{\mathbb{N}} \newcommand{\Td}{\mathbb{T}^d} \newcommand{\Z}{\mathbb{Z}} \newcommand{\Zd}{\mathbb{Z}^d} \newcommand{\n}{\mathbb{N}} \newcommand{\C}{\mathbb{C}} \newcommand{\Cd}{\mathbb{C}^d} \newcommand{\Q}{\mathbb{Q}} \newcommand{\ch}{\mathrm{ch}} \newcommand{\sh}{\mathrm{sh}} \renewcommand{\th}{\mathrm{th}} \newcommand{\argsh}{\mathrm{argsh}} \newcommand{\argch}{\mathrm{argch}} \newcommand{\argth}{\mathrm{argth}} \newcommand{\argcoth}{\mathrm{argcoth}} \newcommand{\vers}{\operatornamewithlimits{\to}} \newcommand{\equ}{\operatornamewithlimits{\sim}} \newcommand{\D}{\displaystyle}=20 \newcommand{\Scp}{{\mathcal S}'} \newcommand{\Sc}{{\mathcal S}} \newcommand{\Coi}{{\mathcal C}_0^{\infty}} \newcommand{\esp}{\mathbb{E}} \newcommand{\pro}{\mathbb{P}} \newcommand{\Tr}{\text{tr}} \newcommand{\vol}{\text{Vol}} \newcommand{\F}{{\mathcal F}} %%%%%%%%%%%% Commandes TeX %%%%%%%%%%%%% \theoremstyle{definition} \newtheorem{ex}{Exercice} % \begin{document} \french \centerline{\bf test } % \vskip.5cm % \begin{ex} Soit $f$ une fonction {\`a} valeurs complexes sur $\Omega$, un domaine complexe. Montrer que si $f$ et $f^2$ sont harmoniques, alors soit $f$ ou $\overline{f}$ est holomorphe. \end{ex} % \vskip.5cm % \begin{ex} Soit $u$ harmonique dans un domaine $\Omega\subset\C$. Que peut-on dire de l'ensemble des points o{\`u} $\D\frac{\partial u}{\partial x}=3D\frac{\partial u}{\partial y}=3D0$? \end{ex} % \vskip.5cm % \begin{ex} 1) On note $P_r(\theta)$ le noyau de Poisson. Montrer que $\forall\, r \in [0,1[$, $\forall\, \theta \in \R$, $$ P_r(\theta) - \frac{1-r}{1 + r} \geq 0 \qquad {\rm et} \qquad \frac{1}{2\pi} \int_{-\pi}^\pi \left( P_r(\theta -t) - \frac{1-r}{1+r}\right)\, dt =3D \frac{2r}{1+r}\cdotp $$ % 2) Soient $U =3D \{z\in \C ; |z| < 1\}$, $u : \bar U \rightarrow \R$ une fonction continue, harmonique sur $U$, v{\'e}rifiant $u(z) \leq M$ sur $\bar U$. Montrer que $\forall\, z \in U$ avec $|z| =3D r$, on a $$ u(z) \leq \frac{2r}{1+r}\, M + \frac{1-r}{1+r}\, u(0). $$ (Indication : on pourra utiliser la formule de Poisson et {\'e}crire $P_r =3D (P_r - \frac{1-r}{1+r}) + \frac{1-r}{1+r}$).\\ % 3) Montrer que $\forall\, r \in [0,1[$ $\displaystyle \sup_{|z|\leq r} u(z) \leq \frac{2r}{1+r}\, M + \frac{1-r}{1+r}\, u(0)$.\\ % 4) Soit $f : \bar U \rightarrow \C$ continue, holomorphe sur $\Omega$, v{\'e}rifiant $f(z) \not=3D 0$ $\forall\, z \in \bar U$. Mont= rer que $z \rightarrow {\rm Log}\, |f(z)|$ est harmonique sur $U$. (On pourra fixer $z_0 \in U$ et montrer que $z \rightarrow {\rm Log}\, |f(z)|$ est harmonique sur un petit voisinage de $z_0$).\\ % 5) Sous les hypoth{\`e}ses de 4, posons $M =3D \displaystyle \sup_{\bar= U} {\rm Log}\, |f(z)|$. Montrer que si $|z| \leq r < 1$, $|f(z)| \leq M^{\frac{2r}{1+r}} |f(0)|^{\frac{1-r}{1+r}}$.\\ % 6) Soit $f_n : \bar U \rightarrow \C$ une suite de fonctions continues, holomorphes sur $U$, v{\'e}rifiant pour tout $n$ $f_n(z) \not=3D 0$ $\forall\, z \in \bar U$ et $\displaystyle \sup_{\bar U} |f_n| \leq 1$. Supposons de plus $f_n(0) \rightarrow 0$. Montrer que $f_n$ tend vers 0 uniform{\'e}ment sur les compacts de $U$. \end{ex} \end{document} %%% Local Variables:=20 %%% mode: latex %%% TeX-master: t %%% End:=20 =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D |