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Why subtraction of a negative number from a positive number is addition? Eg: $a - (-b) = a + b$ When looking through the number scale I am unable to relate this, please kindly clarify ? In the Lord of the Rings it is said     "In Eregion long ago many Elven-rings were made, magic rings as you   call them, and they were, course, of various kinds: some more potent   and some less. The lesser rings were only essays in the craft before   it was full-grown, and to the Elven-smiths they were but trifles — yet   still to my mind dangerous for mortals. But the Great Rings, the Rings   of Power, they were perilous.”   [LotR I 2 (60)]   There is a clear distinction here between the 20 Rings of Power in the Ring Rhyme (the 7,9,3,and 1) and these other rings. What happened to the "lesser rings"? How do I make a Theorem n followed by a Theorem n' ? Reversing Drop Bars If I need to sit more upright on an old Fuji road bike, can I turn the drop handlebars upright and reversed so that they come up and then point to the rear?  I haven't seen anything on the net from anyone who has done that. How to install Flash player on Ubuntu? Even though I have the latest Adobe Flash player 11.2 for Linux in Firefox -   - a particular online flash game still requests that I update to the latest flash player.  I've tried this online game on my laptop (Windows 8 with Flash Player 11.8) and it has no problems.  Is there a way to trick Ubuntu or this game into thinking Flash Player 11.8 is "installed"? How can I convert byte size into a human-readable format in Java? Beamer - Color of header foreground with AnnArbor theme I use beamer with the theme AnnArbor and colortheme whale.  I tried to use:  \setbeamercolor{section in head/foot}{fg=white, bg=blue}   or  \setbeamercolor{palette tertiary}{fg=white, bg=blue}   But for an unknown reason, the bg works but not the fg... The sections names stay black in the header.    EDIT : the problem comes from the hyperref package.  This code works well :  \documentclass{beamer} \usetheme{AnnArbor} \usecolortheme{whale} \setbeamercolor{frametitle}{fg=white,bg=blue}  \begin{document}     \section{Test 1}     \subsection{Test 1.1}     \begin{frame}         \frametitle{Test}     \end{frame} \end{document}   Whereas this one doesn't works :  \documentclass{beamer} \usetheme{AnnArbor} \usecolortheme{whale} \setbeamercolor{frametitle}{fg=white,bg=blue} \usepackage{hyperref} \hypersetup{     colorlinks=true,     linkcolor=black,     urlcolor=blue,     citecolor=gray,     frenchlinks=false,     pdfborder={0 0 0} }  \begin{document}     \section{Test 1}     \subsection{Test 1.1}     \begin{frame}         \frametitle{Test}     \end{frame} \end{document}   And that's pretty normal because of this line :  linkcolor=black, 750Gig Hard Drive shows full with only 315Gigs used Legacy Debian versions and Bash Shellshock We are running Debian Etch, Lenny and Squeeze because upgrades have never been done in this shop; we have over 150 systems running various Debian versions.   In light of the "shell shock" of this week, I assume I need to upgrade bash.  I do not know Debian so I am concerned.   Can I merely execute apt-get install bash on all of my Debian systems and get the correct Bash package while my repository is pointed at a Squeeze entry. If not, what other course of action do I have? How do I navigate to a samba location I've mounted in Nautilus on the command line? Please note: I am two weeks old in Linux. I have found a lot of answers to this question on the internet, tried many, but all failed one way or another. Therefore I dare to ask once again in the hope that someone here could explain it simply :)  Pre-conditions:  In my institute, we have a Samba server. In Windows, it is accessed by going to \\xyz.220.131.233\ and entering the login abc and the password def.   In Ubuntu, I was able to do exactly the same using Nautilus, pressing Ctrl+L and entering smb://xyz.220.131.233/. It then asks for the login and the password and connects. I can even drag a folder from here to the 'Places' and have a shortcut to the remote location.   So far so good. I've just installed Matlab and want to open this remote location. Trying to cd to smb://xyz.220.131.233/ returns      Cannot CD to smb://xyz.220.131.233 (Name is nonexistent or not a directory).   A Mac user in my group told me I first mount the location, but he didn't know how to do it.   Is it true and how do I do it? Tall curly brace I would like to put a tall (long) left curly bracket on the left side of the following:  \documentclass[12pt]{article}  \begin{document}  \noindent c: $\{$1, ..., n$\}$ $\rightarrow$ $\{$1, ..., n$\}$, such that  \hspace{20 mm}  \noindent c($a_i$) = $a_{i+1}$ for 1 $\le$ $i$ &lt; $l$  \hspace{20 mm}  \noindent c($a_l$) = $a_1$   \end{document}   Please let me know if you can help. Thanks! How to enumerate with small roman capitals (not lowercases)? Although I have seen many similar questions, none has been useful.   The question is quite simple: How do I reproduce the highlighted numerals in the image below?    Note that the form of the numerals addressed in questions as  is different from this one.  Thank you in advance! Allow rejected editors to be @replied to Has the Doctor’s memory been reset? At the end of The Time of the Doctor, it is shown that Matt Smith has received an entire new regeneration cycle and using it he regenerates into Peter Capaldi. Capaldi's first question to Clara is about how to fly the TARDIS. Does this mean there has been a memory reset for the Doctor?  If so, has he forgotten his true name?  If he has forgotten his true name, then he can't bring back the Time Lords now can he? What are the uses of Unicorns? What different uses does the unicorn have?  Other than the delicious taste of them coming off the grill.   At Wit's End #221 Sylow Theorem Explanation The Sylow theorems say that all $p$-Sylow subgroups are conjugate.   Is that the only thing they are conjugate to? In other words could a $p$-Sylow subgroup also be conjugate to something that is not a $p$-Sylow group?   Or does the fact that every element with order dividing $p$ is in a $p$-Sylow group mean that that is never possible? Automate on-site plagiarism detection There have been many cases where on-site plagiarism has been coincidentally discovered by  good citizens either while looking for , or while answering questions merely to find out one of their  etc.   Most of the cases have been identified as verbatim copy-paste of the original answer.  I understand plagiarism is considered very offensive and can't be tolerated. It is very unprofessional and unfair. So here are my questions (and possibly a feature request):   Could verbatim plagiarized content be automatically detected?  Should it be pushed into a review queue similar to low quality posts for other users to confirm? There are 8 crew members, The leading member wants that only a crew of 5 people or more could open a safe he bought, To each member he gave equal amount of keys, and locked the safe with several locks.  What's the minimal number of locks he should put:   at least 5 crew members would be required to open the safe? Any team of 5 crew members could open the safe, but none of the 4 team crew members.   1,2 stands individually of course. How can I change the field names (not the alias) in ArcGIS 10.2? I already found this page on ArcGIS support: &quot;&quot; but there is is not &quot;Defense Mapping&quot; on Customized Mode Categories In my ArcCatalog! Without access to Defense Mapping, how can I change the field names? What is the joint distribution of $Z=\min(X,Y)$ and $I_{Z=X}$? Assume that $X$ and $Y$ are independent random variables with $X \sim \exp(\lambda)$ and $Y \sim \exp(\mu)$. It is impossible to obtain direct observations of $X$ and $Y$. Instead, we observe the random variables $Z$ and $W$, where $Z = \min\{X,Y\}$ and $W =1$ if $Z=X$ and $W=0$ if $Z=Y$.  How to find the joint distribution of $Z$ and $W$?