Server performance on load
Can you help me with my capacity planning?
How to find correctly the .bib file? Proof of $n^2 \leq 2^n$. I am trying to prove that $n^2 \leq 2^n$ for all natural $n$ with $n \ne 3$. My steps are:    induction base case: $n=0:$ $0² \leq 2⁰$ which is okay.    inductive step: $n \rightarrow n+1:$ $(n+1)²\leq2^{n+1}$ $$(n+1)^2 = n^2 + 2n + 1 = ...help...\leq 2^{n+1}$$   I know the bernoulli inequality but don't know where to use it, if I even need to. I have problems when it comes to proving things which are based on orders.. Let $X$ be simply connected and let $ \tau $ be a cycle in $X$. If $ \tau(0)=\tau(1)=x_0$ and $\gamma $ is a path between $x\in X$ and $x_0$, is $\tau$ homologous to $ \gamma\tau\gamma^{-1} $?  I think it is, but I'm not sure about the proof. Can I use the fact that $ \gamma\tau\gamma^{-1} $ is homologous to $ \gamma+\tau+\gamma^{-1} $, where $+$ is the operation between 1-chains (that is abelian)? Best book of topology for beginner? I am a graduate student of math right now but I was not able to get a topology subject in my undergrad... I just would like to know if you guys know the best one.. Site specific magic comment links I would like site specific magic links. Currently you can write [so] in a comment, and it links like this: . I would like to be able to have site specific ones, so for example: English Language &amp; Usage  [dictionary] would go to http://dictionary.com and shows as   Ubuntu  [launchpad] would go to https://launchpad.net/ubuntu and shows as   [launchpad#bugnum] would go to https://bugs.launchpad.net/bugs/bugnum and shows as   [forums] would go to http://ubuntuforums.org/ and sows as   [discourse] would go to http://discourse.ubuntu.com and shows as   [paste] or [pastebinit] would go to http://paste.ubuntu.com and shows as   [install-d] would go to http://ubuntu.com/download/desktop/install-ubuntu-desktop and shows as   [install-s] would go to http://ubuntu.com/download/server/install-ubuntu-server and shows as   ppa:peterlevi/ppa would go to https://launchpad.net/~peterlevi and shows as   There is    Ask Different  [applesup] would go to http://www.apple.com/support and shows as   Christianity  [bible] would go to http://biblegateway.com and shows as   Currently, they are all the same, for all sites. I would like devs (mods maybe) to be able to add them on a per site basis. This is just a selection of examples. People can comment or answer with ones they would like and I'll edit them into this question. I asked this because  on Ask Ubuntu Meta wasn't possible right now - because it wasn't a feature.  [The devs] said right now it isn't possible because magic links are network wide, and they weren't sure it was high enough priority to really get done anytime soon, but if you want you can post a feature-request on Meta Stack Exchange requesting site specific magic links and see if you can garner more support for the feature and maybe get a dev to champion it.  So that's what I've done! Increasing the maximum number of TCP/IP connections in Linux Large text files load not working on android Find $P(12)$ when $P(x)={1\over(x+1)}$, for $x=0,1,2,......11$ let $P(x)$ be a polynomial of degree $11$ such that  $P(x)={1\over(x+1)}$, for $x=0,1,2,......11$  then find value of $P(12)$ Is there any practical difference between saving at 300ppi or 72ppi? So, when I point a laser at a piece of wire (pointed at a specific angle), a circle of light appears on a wall behind it (see image below). I am trying to see why this happens and if there are any readings on this. Could anyone give some tips on what I should search for or any references?   ()  So this is a problem for a physics tournament, but I haven't tried it myself yet. However I have found a video depicting what I mean. Does ReLU layer work well for a shallow network? How does JavaScript .prototype work? How to define a command that takes more than 9 arguments I have a mathematical transformation that takes 16 parameters (grouped into 3+8+5) and would like to make a latex command for it, so that I can easily change the notation for it if the need arises.  As far as I know, both \def and \newcommand take a maximum of 9 arguments, is there any (recommended) way to extend this? My website title shows up slightly different from what's in my title tag, only in Google search How can I install .exe files of Windows 7 or more in Ubuntu? I want to run/install .exe files that require Windows 7 or higher in Wine on Ubuntu.   When I try to install a specific .exe file on Wine, it says      Windows version is not supported! You can install it in Windows 7 or higher.   How can I configure which Windows version (XP, Vista, 7, 8, ...) Wine emulates? How to remap an existing keybinding in Zathura I'm just going to throw this out there, but Google indexes Stack Overflow really quickly For example, I  after using Google to try to find an answer. I then turned back to Google and did a search for  and it was already the first result! Similar searches also put my question on the first page, usually in the top 5!  This is insanity. Did I get lucky and post just before an indexing? Is the popularity of SO leading to Google indexing extremely frequently? Or is Jeff using some kind of crazy SEO? In Android, is it possible to block apps from accessing the Internet? Many apps will often connect to remote servers in the background, including Google's own apps or system services. Over time this can eat away at a user's data limit set by a mobile carrier. Does Android allow an app to act as a firewall whereby the user can select which apps have access to the Internet? Or does the device have to be rooted to have that ability? The repository 'http://dl.google.com/linux/chrome/deb stable Release' does not have a Release file After executing this command  sudo apt-get update &amp;&amp; sudo apt-get -y upgrade   I get this error  W: The repository 'http://dl.google.com/linux/chrome/deb stable Release' does not have a Release file. N: Data from such a repository can't be authenticated and is therefore potentially dangerous to use. N: See apt-secure(8) manpage for repository creation and user configuration details.   I've seen past inquiries on same issue but the answers given are specific to other repositories.  Any help will be appreciated. How to turn off the iOS-style character picker menu