When I include the .png image on the right side (32x30 px) in a LaTeX document and typeset it with latexpdf I get the blurry result on the left, even if I turn interpolation off using [interpolate=false]. Can I do anything about that (apart from upsampling the image to 600 dpi with nearest-neighbor filtering beforehand)?  Update:  As explained in the linked question, it’s an issue with PDF viewers.  I ended up using nearest-neighbor upsampling with imagemagicks for f in *.png; do convert $f -filter point -resize 2000% _$f; done to make sure it looks correct in all cases.  (I calculated the resizing factor so that it scales the picture to 600 dpi.)
I have this picture:  (I have the original in Pixen and could export it to several different formats. I went with PNG though since it's lossless.)  When I open my picture in Preview (OS X) and zoom in, it looks fine. The characters have extremely sharp boarders between them and the background. However, when I put it into my LaTeX document, compile it to a PDF (using TeXShop) and then zoom in, it suddenly have gotten blurry (see screenshot: ).  Minimal working example:  \documentclass[12pt]{article} \usepackage{graphicx} \begin{document} \includegraphics[scale=1]{fig1.png} \end{document}   In the end, I would like to be able to scale the picture freely without there being any blurring at all.
Does measurement, quantum in particular, always increase the total entropy? If $f:D\to D’$ is analytic and $u: D'\to R$ is harmonic then the composition of $u$ and $f$ is harmonic in $D$ If $f:D\to D’$ is analytic and $u: D'\to R$ is harmonic then the composition of $u$ and $f$ is harmonic in $D$.  How can I show that the above statement is true/false? Can anyone help me? How do the Chitauri "ships" propel themselves? In the 2012 The Avengers film, the Chitauri army arrives through the portal along with these big robot alien whale Chitauri dudes. Here's one chasing Iron Man:  These guys basically swim through the air like... giant robot alien whales. I don't see any means of propulsion. Other, more humanoid Chitauri soldiers fly around on things that seem to be mechanical &quot;speeders&quot; of sorts. What are these guys? Are they ships, creatures, or both? Is there an explanation anywhere in the Avengers universe for how they defy gravity and swim through the air? How to calculate Camera "correct" position and distance to Frame all my Scene? When studying weak border conditions (in Sobolev Spaces), the usual motivation for the weak meaning of inequalities is that the boundary of most open sets in $\mathbb{R}^n$ has zero Lebesgue measure. But is there any open set $U\subseteq\mathbb{R}^n$ such that it's boundary has positive Lebesgue measure? I really can't think of anything like that. Defragmenting an SSD drive is a bad idea and Windows 7 is (should be?) smart enough not to schedule defragmentation on such drives.  However, I've opened up Disk Defragmenter on my system and found, to my surprise, that my SSD has indeed been defragmented... recently!  Then I checked the disks selected for the scheduled defrag (I have one SSD and one normal disk), and there the list correctly shows only the non-SSD drive.   MSDN forum post seems to suggest that, at least on Windows 8, defragmenting an SSD drive will just cause the TRIM command to be sent to the drive, but there's no word on what actually happens if you try to defrag an SSD drive on Windows 7 (aside from the fact that it shouldn't happen automatically).  What happens in Windows 7 if one chooses to defrag and SSD? What could possibly have been the reason my SSD drive got been defragmented?  EDIT:  I just remembered - I've moved some folders (Users and ProgramData) from my SSD drive to my normal drive using junctions.  question suggests that this shouldn't have any effects at all on the defragmentation process, but could it have an effect on the "last run" in Disk Defragmenter? Protagonist becomes the avatar of an alien deity and has to cope with adversary god I read this at least 20 years ago, and I believe it was originally published in the '60s.   The main character is a human, but somehow "inherits godhood" from an alien, whose species is very long lived. IIRC this is one of the old-style god thingies, i.e. "god of thunder" not "omniscient omnipotent omnipresent transcendent being".  The plot somehow revolved around identifying and fighting some enemy which, I believe, was in turn a member of the alien species who acted as the avatar of the opposite god in the alien pantheon.  The only thing I remember for sure is that the enemy was identified as "green green" or "gringrin" (sadly, I read this in translation so I am not sure what the original meant) Say I have a module $M$ over a ring $R$ that is   $1.$ finitely-generated, i.e. $\exists$ finite $X \subset M$ such that $M = \sum_{i=1}^{n} Rx_{i}, x_{i}\in X$ (but $X$ is not necessarily free)  $2.$ free, i.e. $\exists$ a basis $Y \subset M$ a.k.a. $Y$ is free and generates M, (but $Y$ is not necessarily finite).  Now I want to show, that there exists a finite basis for $M$. For vector spaces, this would obviously be trivial, but for some  $R$-Modul, I'm not sure how to proceed.   Furthermore, is every minimal generating subset of $M$ a basis? Show that unit circle is not homeomorphic to the real line Evaluating the infinite product $\prod\limits_{k=2}^\infty \left ( 1-\frac1{k^2}\right)$ Evaluate the infinite product $$\lim_{ n\rightarrow\infty }\prod_{k=2}^{n}\left ( 1-\frac{1}{k^2} \right ).$$  I can't see anything in this limit , so help me please. Block quote with big quotation marks How can I use colours to separate texture node treatment? I'd like to do three things:  Make the Red area glossy Make the Green area roughly diffuse Make the Green area appear higher than/on top of the red area (bump height).  Basically I'm looking for a procedural/node technique I can use to treat areas separated by color (or alpha). In the pictured set-up I'm using red and green (as I thought splitting colors to RGB could be a solution), but I'd like the solution to be used with any colors required. Any clues would be gratefully appreciated :) Changing CSV layer attribute value from text to number in QGIS? I read in a CSV file for linking to a .shp file.   All the variables that are just numbers came in as text.   How do I change the text variables to numeric in QGIS? How to test for minimum amount of items in inventory and execute a command if true I am using the AmazingKit plugin on my Minecraft server to make inventory kits for players. In a command block I have the following command:  /tellraw @p ["",{"text":"Iron","clickEvent":{"action":"run_command","value":"_____"}},{"text":" / "},{"text":"Gold","clickEvent":{"action":"run_command","value":"_____"}}]   Which prints the following result: Iron / Gold.  When a player clicks on Iron, what command should I write where the empty space is _____ in order to check if the player has at least (>=) 20 iron ingots in his inventory and if he/she does, remove 20 iron ingots and execute /kit Basic. If the player has less than 20 iron ingots in inventory, the command won't be executed. Instead, Insufficient amount of iron ingots will be printed out.   Same applies when a player clicks on "Gold".  I'm on 1.14 version Is it possible to show a screensaver on a secondary monitor while using the primary monitor? I have an iMac with a large format display set up as a secondary monitor that we use as a television for watching movies.  When I am just using the iMac, I would like for the secondary display to display something interesting rather than just the wallpaper.  Is it possible to set up a screensaver that appears on the second monitor (I really like the iPhoto slideshow) while allowing me to use the primary iMac monitor?  I would even be happy if it wasn't technically a screen saver, but just any sort of slideshow that could be displayed on one monitor while I work on the other.  Currently if I play a slideshow in iPhoto, the other monitor goes blank. :( Meta Stack Exchange should not penalize downvotes Why didn't Snape keep or secure his copy of Advanced Potion-Making? Cannot Buy Land in Falkreath EDIT:  It seems that I've also had edits that stacked well, so I'm not sure if I had a timing problem, or was just delusional.  The one thing that can be fixed, that I'll turn this question into, is a feature request so that when I go to re-edit (either within the 5-minute grace period, or before a suggested edit is approved), it brings up the old edit summary text.  Right now, it brings up a blank edit summary, and this replaced the first one I did.  This isn't really intuitive, and even knowing that's what it's doing, I still forget to put everything in.  Original Question:  It has happened a few times now, when on a site where I don't have edit privileges, that I make an edit.  I then see that the edit didn't work quite right, so I go back in to re-edit it.  This creates a brand new edit review, with an additional useless summary. How about we have the same grace period to re-edit your up-for-review edit, as there is for a normal edit? Of course, it wouldn't be possible once it's been approved. Prove that every number ending in a $3$ has a multiple which consists only of ones. Prove that every number ending in a $3$ has a multiple which consists only of ones.      Eg. $3$ has $111$, $13$ has $111111$.   Also, is their any direct way (without repetitive multiplication and checking) of obtaining such  multiple of any given number( ending with $3$) ?