Sorry for such a lame question but, when I blow up my image to 350 inches wide in photoshop and zoom in to 100%, the picture looks blurry, but as I zoom out it looks perfect. Would the same effect happen if we hung this image from the rafters of a stadium, in other words does the blurry picture become clearer from further away? I am sure is does but, dont want to screw this up.  Thanks
For wall-sized graphics and large banners (e.g. 3m × 5m), what is an acceptable PPI for print? As I understand it 300 ppi is the typical for 'small' artworks (esp. for clean text resolution). However, for small artworks, the audience usually engages at a much closer distance. Therefore, in the interests of keeping a bitmap file down to a reasonable size, can you get away with a much-reduced PPI for a large format/banner print?
Please suggest me any particular unnecessary file that I can clean to back everything to normal condition(temporarily). (i.e. any log or archieve or anything ). My var/log has only 40MB and Home directory has 3GB of space(so I believe that's not a problem). Other than that what I can clean up to make space.   [user@host]$ df -h Filesystem            Size  Used Avail Use% Mounted on /dev/mapper/vg_inamivm-lv_root                        18G   17G     0 100% / tmpfs                 1.9G     0  1.9G   0% /dev/shm /dev/sda1             485M   71M  389M  16% /boot   I am in a debian machine.   UPDATE1:  output of  cd /; du -sxh *  6.1M    bin 61M     boot 156K    dev 22M        etc 3.3G    home 306M    lib 18M     lib64 16K     lost+found 4.0K    media 4.0K    mnt 408K    opt du: cannot access `proc/18605/task/18605/fd/4': No such file or directory du: cannot access `proc/18605/task/18605/fdinfo/4': No such file or directory du: cannot access `proc/18605/fd/4': No such file or directory du: cannot access `proc/18605/fdinfo/4': No such file or directory 0       proc 208K    root 9.7M    sbin 0       selinux 4.0K    srv 0       sys 8.0K    tmp 536M    usr 187M    var   Update2  Output of ls -la /  dr-xr-xr-x.  22 root root  4096 Aug  7 08:42 . dr-xr-xr-x.  22 root root  4096 Aug  7 08:42 .. -rw-r--r--.   1 root root     0 Aug  7 08:42 .autofsck dr-xr-xr-x.   2 root root  4096 Mar 28 16:53 bin dr-xr-xr-x.   5 root root  1024 Mar 28 16:54 boot drwxr-xr-x.  16 root root  3580 Sep  9 03:13 dev drwxr-xr-x.  69 root root  4096 Aug 23 09:19 etc drwxr-xr-x.   9 root root  4096 Jun 29 16:10 home dr-xr-xr-x.   8 root root  4096 Mar  7  2012 lib dr-xr-xr-x.   9 root root 12288 Mar 28 16:53 lib64 drwx------.   2 root root 16384 Mar  7  2012 lost+found drwxr-xr-x.   2 root root  4096 Sep 23  2011 media drwxr-xr-x.   2 root root  4096 Sep 23  2011 mnt drwxr-xr-x.   3 root root  4096 Mar  7  2012 opt dr-xr-xr-x. 355 root root     0 Aug  7 08:42 proc dr-xr-x---.   5 root root  4096 Aug 17 18:27 root dr-xr-xr-x.   2 root root  4096 May  2 09:13 sbin drwxr-xr-x.   7 root root     0 Aug  7 08:42 selinux drwxr-xr-x.   2 root root  4096 Sep 23  2011 srv drwxr-xr-x.  13 root root     0 Aug  7 08:42 sys drwxrwxrwt.   3 root root  4096 Sep 13 03:37 tmp drwxr-xr-x.  13 root root  4096 Mar 28 17:53 usr drwxr-xr-x.  18 root root  4096 Mar  7  2012 var I have a question about the following text:     Last week Alex Knapp at Forbes published an article criticizing my Nikola Tesla comic. I don't normally respond to these kinds of thing, but since it's' Forbes I figured a proper response was in order.    I would rather say "this kind of things" rather than the version in the text above. \documentclass[]{phstyle} \usepackage{latexsym,amsfonts,amssymb, undertilde} \usepackage[fleqn]{amsmath} \usepackage{makeidx}  %Preamble  \numberwithin{equation}{chapter} %\renewcommand{\theequation}{\thesection.\arabic{equation}}  \begin{document}  %\include{chapI}   these 2 lines are because the chapters are different tex files  %\include{chap1}  \renewcommand{\thechapter}{\Roman{chapter}}  %\setcounter{chapter}{0} %\renewcommand{\theequation}{\thechapter.\arabic{equation}}  \chapter{Introduction}  \section{Chap I Section1}  \begin{equation} this is equation I.1 \end{equation}  \begin{equation} this is equation I.2 \end{equation}  \section{Chap I Section2}  \begin{equation} this is equation I.3 \end{equation}  \chapter{Chapter 1}  \section{Chap 1 Section 1}  \begin{equation} this is equation 1.1.1 \end{equation}  \begin{equation} this is equation 1.1.2 \end{equation}  \end{document}     I have been typing Chapters 1-5 that contain sections and subsections and equations. The equations were numbered globally, i.e. if I had 3 equations in section 1 of Chap 1, they were numbered 1.1.1, 1.1.2, 1.1.3 and for Section 2, the equations were 1.2.4, 1.2.5, etc.  Recently I had to change Chap 1 and everything in it to Chapter I (roman number) and Chap 2 were renumbered to Chap 1, etc.  My problem is that LaTeX started numbering the equations in Chap I (the other chapters did not have this problem) according to the sections and not globally anymore. That is, the 3 equations in Chap I were I.1, I.2, I.3, and the equations in the second section of Chap I became I.1, I.2, etc instead of I.4, I.5, etc  I needed the prefix to be the chapter and not the sections. I don't understand why there is a change. I have never used \numberwithin in my book  Here are some of my codes  \documentclass[]{phstyle} \usepackage{latexsym,amsfonts,amssymb, undertilde} \usepackage[fleqn]{amsmath}   for the equation numbering in Chap I  \renewcommand{\thechapter}{\Roman{chapter}} \renewcommand{\theequation}{\thechapter.\arabic{equation}} **   Previously when Chap I was Chap 1, ** was  \renewcommand{\theequation}{\thesection.\arabic{equation}}   I have also tried the line below but it didn't work  \renewcommand{\theequation}{I.\arabic{equation}}   Thank you in advance What is a terminal? How do I open a terminal window? How do I use the terminal? How to find and replace a string by increasing its numerical part? Distribution of hitting time of line by Brownian motion I came across the following question:     Let $T_{a,b}$ denote the first hitting time of the line $a + bs$ by a standard Brownian   motion, where $a &gt; 0$ and $−\infty &lt b &lt \infty$ and let $T_a = T_{a,0}$ represent the first hitting time of the level $a$.      1) For $\theta &gt; 0$, by using the fact that $\mathbb{E}e^{-\theta T_a}=e^{-a\sqrt{2\theta}}$, or otherwise, derive an expression for $Ee^{-\theta T_{a,b}}$, for each $b$, $−\infty &lt b &lt \infty$.       2) Hence, or otherwise, show that, for $t &gt; 0$,    $$\mathbb{P}[T_{a,b}\leq t] = e^{-2ab}\phi\left(\frac{bt-a}{\sqrt{t}}\right)+1-\phi\left(\frac{a+bt}{\sqrt{t}}\right).$$   For the first part, I ended up, by changing measure, with the (unverified) expression  $$\mathbb{E}e^{-\theta T_{a,b}}=\exp\left(-a\left[b+\sqrt{2\left(\theta+\frac{b^2}{2}\right)}\right]\right).$$  What's the cleanest way to do the second part? It seems I could either do some kind of inverse transform on the moment generating function, or calculate the moment generating function of the given distribution. Both of these seem difficult. Am I missing something, or do I just need to persevere?  Thank you. My "credit limit" is now a "credit access line". Does it matter? Show that if $x$, $y$, $z$ are integers such that $x^2 + y^2 = z^2$, then at least one of them is divisible by $2$, at least one is divisible by $3$, and at least one is divisible by $5$.  I know that $x,y,z$ are sides of a right-angled triangles. If I start putting values, then I can show, but have no clue about mathematical approach.  How do I solve it mathematically, using modular arithmetic? How do I remove Windows 7 from my dual boot system with Ubuntu? Hello can someone give me short tutorial how to:   Remove Windows 7 from my dual boot system (Ubuntu/Windows7) Let me use free space as new partition for data (so I don't need to extend Ubuntu itself here) Remove windows 7 option from boot screen   Update:  Thanks to Lekensteyn answer I successfully deleted windows. Now I created new partition (formatted to ext4), but I can not use it. I cannot copy files there, only as root.  Also when booting, Ubuntu complains it didn't find /windows partition (of course it didn't, I removed it). I feel like I should update some tables or what, any ideas? How do I quickly switch between workspaces in unity? Prove that for any positive integer $n$, $$2\sqrt{n + 1} − 2 \le 1 +\frac 1 {\sqrt 2}+\frac 1 {\sqrt 3}+ \dots +\frac 1 {\sqrt n} \le 2\sqrt n − 1$$ Progress I think Riemann sum should be used for the middle term. I got the limit as $n\to \infty$ of the function inside using Riemann sum but what I cannot get are the lower and upper bound. ATI Radeon HD 7770 no GPU rendering? When and why should I use % !TEX TS-program and % !TEX encoding? Windows 10 stuck in install loop I was having a time getting my bootable USB 3, 32GB W10 install USB to be recognized. It recognized one time but I had to restart for something and it never came up again. I eventually removed all other boot up options to make it easier and faster to try again (no F12 needed).  Finally I gave up and tried another drive (16GB this time FWIW) and then it worked.  HOWEVER, it's stuck on a reboot loop now. I can choose to install, then to select the right disk, then it says it's loading file and then next thing I know it's saying do you want to install or upgrade. How many regenerations does the Doctor have after The Time of the Doctor? In The Time of the Doctor, the Doctor says that he has a "new regeneration cycle". Does this mean he has another set of 12 regenerations, or just the one? Navigate folder structure in Open/Save File Dialog with keyboard? After hitting ⌘-O, how can I navigate my folders and select a file to open using only my keyboard?   In particular, how can I get the focus into the folder list? (From there I can use arrows or start typing the first letters of the desired file/folder.)  In some programs I can rely on hitting TAB 5 times, but this isn't reliable and I figure there must be a better way. What's the best way to protect your house from Endermen stealing your walls? Capitalize and punctuate "let us continue this discussion in chat" Genetically modified humans study insectoid alien miners with super-intelligent hive-mind This is a short story that appeared in a collection. Two genetically-modified humans (corporate anthropologists, basically) travel to a planetoid inhabited by an insect race that is mining the planet in order to study the race. While there, they are practically ignored, as the individual members of the race lack consciousness. The humans determine a type of pheromone is used to control the worker caste, and co-opt several members to create a living area. They make plans to put the mining towards human ends, but before that can happen they are discovered. The presence of the artificial pheromones wakes up a hive-mind, super-intelligent bug, who then bargains with the surviving member of the team (the man) after killing and taking over the female member of the team.  The collection was read at some point between 2000-2005. Simple way of finding the locus of $z$? I am tasked to sketch the locus of complex numbers $z$ that satisfies $$(z-2+i)^2 + (z^*-2-i)^2 + 2zz^* + 6 = 0$$ I was wondering if there’s a special trick to this question, or if this is only solvable by plugging in $z=x+iy$ ? I noticed that the second term is the conjugate of the first, and wanted to substitute $w = z-2+i$, however this gives me a complicated expression for $zz^*$ which makes it more confusing. Is there a trick I’m missing out? Thanks! Edit: I have already solved it through direct substitution (parabola intersecting real axis at $x=3$ and $x=-1$) but it took a good 5 minutes or so, expanding everything correctly, which seems rather long (I was attempting it under exam conditions). I was just wondering if it is possible to exploit the $w$ substitution I made in particular.