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Is there a significant difference between "rock" and "stone"? I found this pretty good small research, but I am still concerned about "regular usage" in life, say, when I am talking in the office, especially because of this comment:     To me: Stone is something you can pick up with one hand (for   throwing). A rock takes two hands. Storage disk format to use to be utilised by all OS Do I need a US visa to transit (or layover) through an American airport? In Europe usually you don't need to go through immigration to change planes (unless you are entering/exiting Schengen). Is it the case in the US as well? May I catch a connecting flight on one of the US airports if I don't have US visa? As far as I can tell downvoting is mostly useless.     For questions the only people who get downvoted are lower rep users, or incredibly stupid questions    most questions that are downvoted get closed anyway which should be sufficient downvoting doesn't have too much affect on your rep anyway a negative comment is more useful and more of a push too change or delete the question  For answers downvoting is often used incorrectly as well   people commonly competitively downvote (downvoting another answer to a question that you also answered) obviously not a good behavior downvoting (and upvoting) are contagious, meaning one downvote leads to a bunch of others even though downvotes don't effect rep that much they create a negative environment, no one wants their post downvoted, on the other hand criticizing comments, I think, are far more welcome      So basically in a nutshell a downvote serves no real purpose even if a post deserves it. Flagging, closing and commenting are much more useful to everyone including the poster than downvoting so why have it.    I now see from the answers and comments that downvotes do serve a purpose and would like to retract my request. Is there any way to solve this problem using the diagonalization method? I know there's the proof that uses $\mathcal{P}(\mathbb{N})$ = set of all finite subsets $\cup$ set of all infinite subsets, but I'm trying to solve it using the diagonalization method specifically. I was thinking that we can assume the two have the same cardinality and arrive at a contradiction, but I don't know how to get there. How can we show there has to be some infinite set in the set of all infinite subsets that cannot match 1-1 with a natural number? 3D graphics render as though no illumination The collection of all subsets of $\mathbb{Z}$ is uncountable, due to   But how can I prove that the collection of all finite subsets of $\mathbb{Z}$ is countable? Is there any reason to use this-> I am programming in C++ for many years, still I have doubt about one thing. In many places in other people code I see something like:  void Classx::memberfunction() {     this-&gt;doSomething(); }   If I need to import/use that code, I simply remove the this-> part, and I have never seen anything broken or having some side-effects.  void Classx::memberfunction() {     doSomething(); }   So, do you know of any reason to use such construct?  EDIT: Please note that I'm talking about member functions here, not variables. I understand it can be used when you want to make a distinction between a member variable and function parameter.  EDIT: apparent duplicate: I've been googling for some time now, and can't find the manual for the TikZ library calc. All I see is people using it. Where can I find the manual or some info?  Is it the same as the LaTeX package calc? The latter doesn't seem to mention TikZ in the manual. How do I hide an element when printing a web page? I have a link on my webpage to print the webpage. However, the link is also visible in the printout itself.  Is there javascript or HTML code which would hide the link button when I click the print link?  Example:   "Good Evening"  Print (click Here To Print)   I want to hide this "Print" label when it prints the text "Good Evening". The "Print" label should not show on the printout itself. Splitting of prime ideals in algebraic extensions I'm reading Algebraic Number Theory by Jurgen Neukirch. I have some problems with some of the exercises in Section 9 of Chapter 1.  They are:  1) If $L / K$ is a Galois extension of algebraic number fields with non-cyclic Galois group, then there are at most finitely many non-split prime ideals of $K$.  2) Let $L / K$ be a finite (not necessarily Galois) extension of algebraic number fields and $N / K$ the normal closure of $L / K$. Show that a prime ideal $p$ of $K$ is totally split in $L$ if and only if it is totally split in $N$.  I have worked on them for a long time but couldn't get any idea of it.   Can you please help? Thank you! Possible Duplicate:          For example the following are the same  # /usr/bin/php updateDatabase.php  # php updateDatabase.php   But how would I infer the location of the php command to be in /usr/bin? How to cook a pork sirloin roast? I picked up a pork sirloin roast yesterday, it's a little over three pounds.  I've never cooked one of these before and I am not sure what to do.  My seasoning plan is salt, pepper, thyme, and rosemary, and I might poke a couple holes for cloves of garlic as well.  My cooking plan is 8+ hours in the crock pot on low, with about an inch of water in there.  Will this turn out OK?  I'd like a tender and moist result, obviously.  Any tips would be greatly appreciated. Use filecontents environment to write a binary file In  of mine, I was trying to show how to embed an audio file into the pdf with the multimedia package. The resulting MWE does not stand on its own because it requires an example audio file.  I guess my first question is, does TeXLive include any example audio files? The second, and potentially less uninteresting question is, can I use the filecontents environment, or some other environment, to create a binary file?  \documentclass{article} \usepackage{graphicx} \usepackage[implicit=false]{hyperref} \usepackage{multimedia}  % What goes in here to produce a usable wav file. Happy to use a different environment. \begin{filecontents}{\jobname.wav} \end{filecontents}  \begin{document} \sound[inlinesound]{\includegraphics{example-image}}{\jobname.wav} \end{document} I am getting a warning when trying to include the .net 3.5 sp1 prerequisite for my setup project.  The warning states Prerequisite could not found for bootstrapping.  Any suggestions?  Thanks A sci-fi book or TV show about a tribesman discovering he or she actually lives in a huge spaceship How to prove that there are finitely many $n$ such that $f(1+1/n) = \frac{1}{n+1}$? Let $f : \mathbb{C} \to \mathbb{C}$ be analytical. How does one prove that there are finitely many positive $n$ such that $f(1+1/n) = \frac{1}{n+1}$ ? A hint is given: think of the expression $\frac{z-1}{z}$.  I think this is a pretty hard homework assignment. Here's what I tried so far: Let $g(z) = \frac{z-1}{z} $ . Then $g(1 + 1/n) = \frac{1 + 1/n - 1}{ 1 + 1/n} = \frac{1/n}{1+1/n} = \frac{1}{n+1} $. So the given hint is probably indeed useful, but I'm not sure yet how.   Another thing I tried to use to obtain the solution was the given fact that $f$ is analytical. Let $f = g$. Then $f(z) = f(x+iy) = \frac{ x + iy - 1}{x+iy} = \frac{x+iy-1}{x+iy} \cdot \frac{x-iy}{x-iy} = \frac{x^2 - 2 i x y + y^2 + iy}{x^2 + y^2} = 1 + i \frac{y(1-2x)}{x^2 + y^2} $ . Now I have written $f$ in the form $ f = u + i v$, with $u,v$ being real-valued functions. So now we can use the Cauchy-Riemann Integral formulas: $ \frac{d}{dx} 1 = 0 = \frac{d}{dy} \frac{ y(1-2x) }{x^2+y^2} \implies \frac{y(1-2x)}{x^2+y^2} = c $. The other formula yields a similar result.   But now what? I still have no idea how to prove that there are finitely many positive $n$ such that the aforementioned equality holds. Should I use any of the results I already obtained? If so, how? If not, do you know how to prove this? I made my first sculpt model and I used a mirror modifier. But then I applied the mirror modifier, because I got a strange edge on the mirror line in sculpt mode. Now I modeled it, but it still mirrors the model, what in the beginning was good, but sometime I want to do asymmetrical things.  What did I wrong? Many thanks for your help!! Happy modeling :D Can't reach wi-fi signal on Ubuntu, but can do it on other OS/devices (ath9k) I have two laptops, both running Ubuntu 13.10, as well as a different OS (Windows 7), dual boot on both.  My wi-fi router is on my bedroom and I want to get the wi-fi signal from the living room. I can reach the wi-fi signal from both pcs when running windows, with a relative good signal, but can't reach it on both of them when running Ubuntu, can't even connect to it.  Is there something that I can do to amplify the wi-fi signal? When will SO stop wasting real estate of my screen by having static width layout?  EDIT  It would be very interesting to hear how does Joel, being UI specialist, feel about this. JoelOnSoftware site has fluid layout...