What is the ’s-possessive form of "the king of Troy, Priam"? “This was brought about by the king of Troy’s, Priam’s, death.”   In this sentence, should the ’s be tagged on to “the king of Troy”, “Priam”, or both?
Appositives with possessiveness? I would like to say something like     The boy, Adam's, favorite toy was a bike.   What is the proper way to say this?
Compact operators on an infinite dimensional Banach space cannot be surjective I am reading a book about functional analysis and have a question:      Let $X$ be a infinite-dimensional Banach-space and $A:X \rightarrow X$ a compact operator. How can one show that $A$ can not be surjective? A particular big Delta I would like to insert the below mathematical symbol, it looks like a big Delta but different. Is there command to obtain a similar shape? Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$. How to trim whitespace from a Bash variable? I have a shell script with this code:  var=`hg st -R "$path"` if [ -n "$var" ]; then     echo $var fi   But the conditional code always executes, because hg st always prints at least one newline character.   Is there a simple way to strip whitespace from $var (like trim() in )?   or   Is there a standard way of dealing with this issue?   I could use  or , but I'd like to think there is a more elegant solution to this problem. List comprehension with expensive computation How to clip an Openlayers OSM Background to a Vector Boundary? I'm new to QGIS. In my project i have two layers: one is my vector (city boundaries) and the other is the OSM (obtained with the plugin). How can I cut the OSM along the edges of the vector? I want to obtain only a region of the map, to save it as an image. Question: Let $E$ be a normed space. Let $G$ be a closed subspace of $E$ and let $F$ be a finite dimensional subspace of $E$. Show that $F+G$ is a subspace of $E$ and is closed.  I'm having trouble in showing $F+G$ to be closed. I know that $F$ is itself closed and complete, as it is a finite dimensional subspace of a normed space, and that if $F$ were compact that $G+F$ would be closed. I also know that the closed unit ball of any finite dimensional normed space is compact.  I tried two methods. One was to take a convergent sequence $(x_n)_{n \in \mathbb N}$ in $G+F$. Then we can write $x_n = f_n + g_n$ where $f_n$ and $g_n$ are sequences in $F$ and $G$ respectively, and I attempted to find a way to force the individual components $f_n$ and $g_n$ inside the unit ball which would enable me to say that they had convergent subsequences. I couldn't see how to do this, however.   The other thought was to try and show that $F$ is compact, but I don't see a way to do this as I can't imagine it to be simply true without some other conditions on $F$.  Are one of these methods the right way to go? Or should I go another direction? I would appreciate any help I can get, although I would prefer not to be presented with a full proof so that I can do some work for myself. Thanks! How to remove uninstalled wine app icons from unity dash? I installed  (for Windows) using wine but turns out LAN Messenger is also available for linux as well. So..   I uninstalled LAN Messenger from wine. I also removed wine. deleted the .wine directory. after that sudo apt-get autoremove and sudo apt-get autoclean. then I installed LAN Messenger using dpkg -i pkgname.deb and it installed successfully.   The problem is that now I get this in dash:   Any Help is highly appreciated.  [NOTE] I am using ubuntu 12.10 Is it possible to change the default width of an image included via \includegraphics (from the graphicx package) to a custom value, for example \linewidth.  So I want something like this:  \documentclass{article}  \usepackage[draft,width=\linewidth]{graphicx}  %or something like \setglobalimagewidth=\linewidth  \begin{document}  \includegraphics{test1} %width=\linewidth \includegraphics[width=4cm]{test1} %width=4cm   \end{document} I would say $\infty - \infty=0$ because even though $\infty$ is an undetermined number, $\infty = \infty$. So $\infty-\infty=0$. Delayed eraser experiment (Kim experiment) Will I receive an interference pattern on D0 detector   if D1, D2, D3, D4 exist in the set up of the experiment, but they are thousands of light years far? Simply, to set up the experiment so that I detect all of the signal photons on D0 before I detect any of idler photons! How to limit zoom level in OpenLayers 2.x I would like to have only 3 levels of zoom available (from level 6 to level 8).  demolayer2 = new OpenLayers.Layer.WMS( "abc...","http://localhost:8080/geoserver/gwc/service/wms", {layers: 'def...', transparent:"true", format: 'image/png', numZoomLevels: 3, minZoomLevel: 6 },{isBaseLayer:false},  { tileSize: new OpenLayers.Size(256,256)});  map.addLayer(demolayer2);   map.addControl(new OpenLayers.Control.LayerSwitcher({'div':OpenLayers.Util.getElement('layerswitcher')}));  map.zoomToExtent(new OpenLayers.Bounds(-4.601615515076983,39.8769407866263,-3.0527184873294764,41.16710732525929)); How to disk copy with unreadable sectors? I want to clone a whole disk bytewise, something like  dd if=/dev/$SRC of=/dev/$DST bs=65536 count=$count   There are better tools for the job, which understand the file system (Windows) and work faster (I don't care), but they fail because of unreadable sectors on the old source disk.  There's actually a single invalid block I have to skip. So I thought about using dd multiple times like  dd if=/dev/$SRC of=/dev/$DST bs=65536 count=... dd if=/dev/zero of=/dev/$DST bs=65536 count=... skip=... seek=... dd if=/dev/$SRC of=/dev/$DST bs=65536 count=... skip=... seek=...   with replacing the broken sector data by zeros. Is this a valid approach? I found this  which confuses me. Account not acting as an administrator correctly My account, david, is in the Administrators group on a Windows 7 machine.  I am still having problems with programs that I should be able to use, such as SQL Server. Specifically, my account seems to not have correct permissions when I am working.  I know with an Administrator account I should have full access. How can I force my account (david) to act like an admin account and have full access to everything? What's the best way to build a string of delimited items in Java? How are the AES S-Boxes calculated? I noticed that I got some initial traffic problems at the point where the initial highway is connected to my city. At the beginning I simply elongated both roads that came from that highway, but this doesn't seem to scale.  What I wanted to do now is to create a single six-lane highway from these two four-lane roads. I'd be open to continue to use two roads in parallel here, but I didn't manage to add any way of crossing between the lanes when I tried that idea.  So, how do I merge two one-way roads into a single two-way road? Or, if my idea is really bad, what is a good way to connect the initial highway access to my fledgling city?  Here's a screenshot of the roads I want to connect, if my description wasn't entirely clear: What techniques have been used to repeat geometry or other detail to the infinite horizon? $(m, m+2)$ is twin prime, iff $4((m-1)! + 1) \equiv -m \pmod {m(m+2)}$ The Wiki page on  says     The pair $(m, m+2)$ is twin prime, iff $4((m-1)! + 1) \equiv -m \pmod {m(m+2)}$.   This is obviously connected to Wilson's Theorem. Can anybody provide a proof for that, along the lines of thought given here, ? I have an external HD which used to be my TimeMachine drive. I got a different drive for that, so I want the original drive back as an external on my Windows box, but it has this random 200 MB partition labeled as EFI System Partition. How do I get rid of this?