Install Ubuntu on tablet
What hardware does Ubuntu Touch support?
Prove $\frac{a+b+c}{abc} \leq \frac{1}{a^2} + \frac{1}{b^2} + \frac{1}{c^2}$. So I have to prove $$ \frac{a+b+c}{abc} \leq \frac{1}{a^2} + \frac{1}{b^2} + \frac{1}{c^2}.$$  I rearranged it   $$ a^2bc + ab^2c + abc^2 \leq b^2c^2 + a^2c^2 + a^2b^2 .$$  My idea from there is somehow using the AM-GM inequality. Not sure how though. Any ideas?  Thanks Let $V$ be a vector space over a field $F$ and $T$ a linear operator on $V$. If $T^2$$=$ $0$, what can you say about the relation of the range of $T$ to the null space of $T$? Change the word "Chapter" to something else I am using fancyhdr. With that, using the command  \renewcommand{\chaptername}{Lecture}   has no effect. How can I change the name "Chapter" into something else? How to connect a Nokia Lumia 730 to Ubuntu 14.04? What to do when you discover a mistake in the archived copy of your PhD thesis? I've just defended my PhD in mathematics and started a postdoc. While working  on an improvement of one of the results of my thesis, I realized that there are several minor mistakes and a big bug in a proof that invalids a minor result in the thesis (about 3-4 pages out of 110). Unfortunately neither I nor my advisor or referees figured it out the mistake. Though the result is minor, it is announced in the introduction and the manuscript is on-line on an ArXiv-like server, so that I could publish a new version but not cancel the one on-line.   What is the best thing to do? Upload an errata? Upload a "revised" version of the thesis?  Publish a "revised version" of the thesis on my web-page?  Can this damage my future career, making me look not "reliable" as a researcher? Proving a function is constant, under certain conditions? The problem:  Assume $f: \mathbb{R} \rightarrow \mathbb{R}$ satisfies $|f(t) - f(x)| \leq |t - x|^2$ for all $t, x$. Prove $f$ is constant.  I believe I have some intuition about why this is the case; i.e. if $t$ and $x$ are very close, ($|t - x| = \epsilon$), then $\sqrt{\epsilon}$ will converge to 0, so $|f(t) - f(x)|$ will also converge to zero if you keep taking $t$ and $x$ closer and closer to each other. However, how do I formalize this argument? Thanks. Delay answer downvote rep loss to voter to help hide voter's identity A while back, I posted an answer to SO, which was downvoted.  I wasn't sure who did it, but had a suspicion because I thought I had seen a particular user lose a reputation point.  When I deleted the answer, my suspicion was confirmed by a point gain in reputation by the particular user.  Now, I wasn't going to attempt any sort of retaliation (and did deserve the downvote) but this seems like it could lead to abuse.  My suggestion is to apply answer downvote rep loss/gain at a particular time of day, and not immediately after the vote or answer deletion. My chain broke and in a moment of silliness (I was cold wet and slightly annoyed)  I threw the broken one away before thinking about measuring the new one.  Is there a guide to getting the chain length/tension correct ?  It's an 8 speed road bike (Shimano Sora back, double ring front) How to properly restart unity? How does apt-get really work? Okay, I understand how I may use apt-get {install|upgrade|remove} mypackages to install, upgrade, or remove binaries as well as their configuration data files and dependencies (actually, remove will only remove the binaries unless additional flags are provided).  I am not looking for how it is used as the man describes this, but high level what it is doing.  My end goal is to create a means for me to install and manage some custom software (created by a make file) on multiple remote machines, and I need to learn more about the process.  If answers to this question are based on which distribution is used, please tailor to Debian.  In addition to generally how it works, I have the following specific questions:   How does the client that is accessing the apt repository keep track of the files? Must the repository be hosted on the same operating system (i.e. can apt repository be hosted on redhat)? How are the locations to install files specified?  Is this specified by the .deb file? How is a remote machine accessing the repository?  Is it just ftp(s) or http(s)? Is the machine that is hosting the repository running special software (like gitlab for a git repository), or is it just some structured file system? Now this might be a very stupid question for many readers, but I am getting really confused.   I was reading about electricity and current, and I read this:  Suppose we connect a wire to the ends of a battery, and a bulb in the circuit, current flows and lights up the bulb. The battery is responsible for doing work on the positive charges to move them from negative terminal to positive terminal, that is moving against the field. Now, these energised positive charges move through the external circuit, and within the circuit they give some of their energy to light the bulb. I understood this very well.  Now, reading further, it was written that "Electrons are actually responsible for current flow". It was written that there is concentration of energised negative charges on the negative terminal, and these electrons then move through the external circuit from negative to positive terminal. This is really confusing.     So my question: What actually flows? The negative charge or the   positive charge?   Further reading, I also read that in semi-conductors, fluorescent light bulbs etc., both charges move through the circuit.     Now, one more doubt: If both charges move through the circuit in this   case, shouldn't the charges stop in the middle of the wire, because   opposite charges will attract each other, hence stopping their   movement? Evolutionarily speaking, why do humans have 46 chromosomes When using find, how do I return the file name and the line number when searching for a string? I manage to return the file name in one command and the line numbers with another one, but I can't seem to combine them.  File names: find . -type f -exec grep -l 'string to search' {} \;  Line numbers: find . -type f -exec grep -n 'string to search' {} \; With the exception of multiclassing, is there any big reason that if you were to change the spellcasting ability of a (spellcasting) class it would be a bad idea?  As a specific example: Let's say I was switching Sorcerers from Cha to Wis, what unexpected effects could this have on that class's balance? Additionally let's assume all places in spellcasting where you added your charisma modifier instead you now add wisdom (and vice-versa). Is there any way to recover unsaved notepad++ docs? 3/4 circle with plus in it? After I recently updated my phone about a day ago, this strange sign showed up on the top left that I have never seen before. Does anyone know what it means? Or how to get rid of it? Im trying to run the following code  \documentclass[border=10pt]{standalone} \usepackage{pgfplots} \pgfplotsset{width = 7cm, compat = 1.8} \begin{document} \begin{tikzpicture} \begin{axis}[domain = -2:2, domain y = 0:2*pi] \addplot3[contour gnuplot = {output point meta = rawz, number=10, labels=false}, samples = 41, z filter/.code=\def\pgfmathresult{-1.6}] {exp(-x^2) * sin(deg(y))}; \addplot3[surf, samples = 25] {exp(-x^2) * sin(deg(y))}; \end{axis} \end{tikzpicture} \end{document}   and I'm getting the error  Package pgfplots Error: sorry, plot file{Utitlled_contourmp0.table} could not be opened   through a quick search I found out that contour maps require pgfplots and gnuplot to talk to each other. In theory the way to make them interact is adding  !TEX option = --enable-write18   or   %!TEX option = --enable-escape   at the top of the file. Unfortunately this has not worked for me. Any suggestions? How do I have no default web browser, so the system asks what browser to use when I click on a link? I use Internet Explorer for some things and Chrome for others. I'd like to have a choice when I click on a link of which browser to open the link in. Is this possible in Windows? I am currently running Windows 8, although there should be similarities between versions.  To the best of my knowledge this isn't possible. How can I make sure that my on-screen colors are consistent? When should I use the "strictfp" keyword in java? I've looked up what this does, but does anyone actually have an example of when you would use the strictfp keyword in Java? Has anyone actually found a use for this?  Would there be any side-effects of just putting it on all my floating point operations?