I need to have a banner printed for a back lit header on a shelving unit in a retail store with the following dimensions 2’-11" x 1’-0", how many DPI would you recommend printing at?  Thanks in advance for your assistance.
(This question is meant to be a resource to direct others to given that this is a common question.)  Given the task of creating an image that will be printed at a certain size, what pixel dimensions and resolution should I be setting my file at?
Nesting quotes in JavaScript/HTML Is there a minimum damage rule? In D&amp;D3e, if you successfully hit a target you always did at least 1 point of damage (before applying Damage Resistance), even if you had a Strength penalty.  I can't find any mention of that rule in the 5e PHB.  Does the rule no longer apply, or did I just overlook it? Why is RAM not put on the CPU chip? Modern CPUs are very fast compared to all things external, including memory (RAM).   It is understandable, since CPU clock frequency has reached a point where it takes several clock ticks for an electric signal simply to run from from the CPU through the bus to RAM chips and back.   It also complicates life on many levels: multi-level cache hierarchies are built to deliver data closer to the CPU, which in turn require complex synchronization logic in the chip. Programs must be written in a cache-friendly way to avoid wait cycles while data is fetched.   Many of these problems could be avoided if a significant amount of RAM was located directly on the CPU chip. It doesn't have to an exclusive arrangement: maybe put 1-4 GB on the chip, depending on its class and allow additional memory installed separately.   I'm sure there are good reasons Intel, AMD and the like are not doing this. What are these reasons? Is it that there's no room to spare on the chip? How do I check the series $\sum_{n=2}^{\infty} \frac{(-1)^n }{n+(-1)^n}$ for absolute convergence/conditional convergence ?  How can I solve this problem? Automatically Locate Included Images Do you think it's possible to include images into LaTeX without specifying the exact path to them. So instead of:  \includegraphics{path/to/image/myfig.pdf}   It would be:  \includegraphics{myfig.pdf}   While the image would still reside in the path/to/image/ directory. Basically, I'm asking if there is a macro that can recursively search for the image.  An alternative for me is to write a script outside of LaTeX that determines all the images that are included, performs the recursive search and copies those files temporarily in the same directory as the .tex file. Show that $\sin(z) = z$ has infinitely many solutions in complex numbers. Little Picard theorem should help, but using big Picard theorem is undesirable. Thanks a lot! Is doing two PhDs a good path? I find myself constantly looking up the syntax of  find . -name "FILENAME"  -exec rm {} \;   mainly because I don't see how exactly the -exec part works. What is the meaning of the braces, the backslash and the semicolon? Are there other use cases for that syntax? What are the best practices for battery longevity? One part of the render layer glowing? I need to add 30 minutes to values in a Oracle date column.  I do this in my SELECT statement by specifying   to_char(date_and_time + (.000694 * 31)  which works fine most of the time.  But not when the time is on the AM/PM border.  For example, adding 30 minutes to 12:30 [which is  PM] returns 1:00 which is AM. The answer I expect is 13:00.  What's the correct way to do this? I'm trying to model my face on Blender using  and it gives links to reference photos.  The thing is, as I mentioned above, I want to try and model my face.  So I've decided to take photos of my face. But it doesn't seem to be working well (not symmetrical enough and stuff), so how exactly should I take my reference photos so that it would work well when I try to model it with the Mirror modifier?  Note: I only have the 'webcam' on my Macbook Pro and the camera on my Hongmi phone and I don't want to spend money on a new camera. I came to know about , it's a website that allow search for flights by country. I mean you just enter from like "Germany" and to like "Belgium" and you get best offers from all airports between the two countries. That is great. And I was able to arrange a good-price trip to Brussels.   Now I want to arrange another trip to Turkey, but Whichbudget is not helping much this time. And I can't find any other websites that allow "search by country".   Update: Not duplicate to  as his question is broad to the extent of a state. But my question is broad to the extent of a whole country + less price + "Any Time". If anyone checks , he'll understand what I'm saying. Especially that whichbudget allows "Any Time" option, not just +/-3 days.  Does anyone know more similar websites? How to add something to PATH ? I have added like   PATH=$PATH:/home/example export PATH   and it works until I restart , after that when  I type env in PATH there is no /home/example. First off, this is a question about a desktop application using Windows Forms, not an  question.  I need to interact with controls on other forms. I am trying to access the controls by using, for example, the following...  otherForm.Controls["nameOfControl"].Visible = false;   It doesn't work the way I would expect. I end up with an exception thrown from Main. However, if I make the controls public instead of private, I can then access them directly, as so...  otherForm.nameOfControl.Visible = false;   But is that the best way to do it? Is making the controls public on the other form considered "best practice"? Is there a "better" way to access controls on another form?  Further Explanation:  This is actually a sort of follow-up to another question I asked, . The answer I got was great and solved many, many organizational problems I was having in terms of keeping the UI straight and easy to work with both in run-time and design-time. However, it did bring up this one niggling issue of easily controlling other aspects of the interface.  Basically, I have a root form that instantiates a lot of other forms that sit in a panel on the root form. So, for instance, a radio button on one of those sub-forms might need to alter the state of a status strip icon on the main, root form. In that case, I need the sub-form to talk to the control in the status strip of the parent (root) form. (I hope that makes sense, not in a "who's on first" kind of way.) Some websites have code to "break out" of IFRAME enclosures, meaning that if a page A is loaded as an IFRAME inside an parent page P some Javascript in A redirects the outer window to A.  Typically this Javascript looks something like this:  &lt;script type="text/javascript"&gt;   if (top.location.href != self.location.href)      top.location.href = self.location.href; &lt;/script&gt;   My question is: As the author of the parent page P and not being the author of the inner page A, how can I prevent A from doing this break-out?  P.S. It seems to me like it ought to be a cross-site security violation, but it isn't. Solvable Lie algebra with codimension 1 ideal There is an exercise in Humphreys's An Introduction to Lie Algebras and Representation Theory: "Any nilpotent Lie algebra contains a codimension 1 ideal".  The proof I am thinking of is the following.  Suppose the Lie algebra $L$ satisfies $L\neq[L,L]$. Then $\pi\colon L\to L/[L,L]$ is a projection onto an abelian algebra. Choose a codimension 1 subspace $I\subset L/[L,L]$. Then $I$ is an ideal and its preimage $\pi^{-1}(I)$ is necessarily an ideal in $L$, because any subspace containing the derived algebra is an ideal. Moreover, $\pi^{-1}(I)$ has codimension 1. $\square$  The only condition on $L$ is that $L\neq[L,L]$, which holds for solvable Lie algebras as well. Is this proof correct? How come Humphreys didn't set the exercise with "nilpotent" replaced by "solvable"? Google search results showing up a URL on its search which doesn't exist on the website I am using a keyword to display a website page on google search. After entering the keyword, on the first page of google, I am redirected to a page, whose domain is exactly similar to the website whose page I want to display, but it is showing a page which doesn't even exist on the domain. Also, as similar domain with spam characteristics is also getting displayed.   To practically demonstrate this issue, do follow the below steps.   Go to  Type dolce streichquartett and click on search. The 4th/5th URL has this link http://www.dolce-streichquartett.de/?high_ry=/casinos/de/spielautomaten-casino-bregenz.php, which is no where on the website and looks like spam The 7th/8th link you see is http://deonlinecasino.org/doc/kostenlos-roulette-spielen-spielgeld-ausdrucken.php, which is exactly similar to the above with the title as the keyword but a different domain.   What is this issue and why is this happening? Transcendental numbers and irrationality measure What is the correct permission in /etc/fstab to mount NTFS? I have Windows and Arch Linux in dual with UEFI. I want to mount my another NTFS partition in Arch. I mounted the partition with mount /dev/sda5  /mnt/Apps command. Then added the output of genfstab -U /mnt/Apps in /etc/fstab file. The output is as follows:  UUID=01D158CC7C2A61A0 /mnt/Apps ntfs rw,nosuid,nodev,user_id=0,group_id=0,allow_other 0 0   But when I unmount and remount that partition all files and folders shows with root uid and gid and 0777 permission. I also tried with changing uid and gid to 1000 but same result. So, my question, what is the correct way to add NTFS partitions in fstab so that I can read &amp; write all file and folder both with normal user (1000:1000) and root (0:0)?