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Finding specific records of US WW2 veterans? This is an unproven proposition I've come across in multiple places.   Suppose $A$ is a commutative Noetherian ring, and $S$ a multiplicative subset of $A$. Then $S^{-1}A$ is Noetherian.  Why is this? I thought about taking some chain of submodules $$ S^{-1}M_1\subset S^{-1}M_2\subset\cdots $$ and pulling back to a chain  $$ M_1\subset M_2\subset\cdots $$ of submodules of $A$ which must eventually stablize. Is there more to it than this? I kind of wary of assuming all submodules of $S^{-1}A$ have form $S^{-1}M$ for $M\leq A$. How to customize Windows 10 "6 Folders" in My Computer I would like to customize the folders in the Default Folders group of My computer. It is not necessary to have the same folders appear on the left sidebar and in the middle view. How can I do that ? Using the same code behind file for multiple .aspx pages Can't install wine on Ubuntu 14.04 I cannot install Wine on Ubuntu 14.04.  When I try to install it on the Ubuntu Software Center I always get a message that says I have unmet dependencies. I tried installing Wine through the terminal and I get this:  Reading package lists... Done Building dependency tree        Reading state information... Done Some packages could not be installed. This may mean that you have requested an impossible situation or if you are using the unstable distribution that some required packages have not yet been created or been moved out of Incoming. The following information may help to resolve the situation:  The following packages have unmet dependencies:  wine : Depends: wine1.6 but it is not going to be installed E: Unable to correct problems, you have held broken packages. WPF textblock binding with List does anyone know if there is a simple way to bind a textblock to a List. What I've done so far is create a listview and bind it to the List and then I have a template within the listview that uses a single textblock.  what I'd really like to do is just bind the List to a textblock and have it display all the lines.  In Winforms there was a "Lines" property that I could just throw the List into, but I'm not seeing it on the WPF textblock, or TextBox.  Any ideas?  did I miss something simple?  Here's the code  &lt;UserControl x:Class="QSTClient.Infrastructure.Library.Views.WorkItemLogView" xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation" xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"          Width="500" Height="400"&gt; &lt;StackPanel&gt;     &lt;ListView ItemsSource="{Binding Path=Logs}" &gt;         &lt;ListView.View&gt;             &lt;GridView&gt;                 &lt;GridViewColumn Header="Log Message"&gt;                     &lt;GridViewColumn.CellTemplate&gt;                         &lt;DataTemplate&gt;                             &lt;TextBlock Text="{Binding}"/&gt;                         &lt;/DataTemplate&gt;                     &lt;/GridViewColumn.CellTemplate&gt;                 &lt;/GridViewColumn&gt;             &lt;/GridView&gt;         &lt;/ListView.View&gt;     &lt;/ListView&gt; &lt;/StackPanel&gt;     and the WorkItem Class  public class WorkItem {     public string Name { get; set; }     public string Description { get; set; }     public string CurrentLog { get; private set; }     public string CurrentStatus { get; private set; }     public WorkItemStatus Status { get; set; }     public ThreadSafeObservableCollection&lt;string&gt; Logs{get;private set;}   I'm using Prism to create the control and put it into a WindowRegion          WorkItemLogView newView = container.Resolve&lt;WorkItemLogView&gt;();         newView.DataContext = workItem;         regionManager.Regions["ShellWindowRegion"].Add(newView);   thanks How to combine an SSD boot drive with a HDD data drive? Choice function for collection of arbitrary finite sets. AC required? Strange noise when moving files When I move files, a small 'noise' noise comes through my headphones or speakers.  It only happens when moving files.  Is there a reason why moving files causes this slight static?  It only lasts for as long as the files are moving.  I'm not as much as annoyed as I am curious.  It is a Gigabyte board with a integrated sound card.  I'm running Windows 7.  I don't think it used to do this but I'm not quite sure. A surjective endomorphism (of a Noetherian ring) is injective. The problem is stated as follows:  "Let $R$ be a Noetherian ring and $\theta$ be a ring homomorphism from $R$ to $R$. Show that if $\theta$ is surjective then it is also injective."  Regardless of the right solution, I don't understand why is the following wrong:     We have $\theta: R\to R$. By the isomorphism theorem $R/\ker\theta\cong\operatorname{Im}\theta$. Since $\operatorname{Im}\theta = R$, it follows $\ker\theta =0$, so it's injective.   Harsh criticism will be appreciated. Thanks. I want to install the latest Python tarball on Ubuntu, downloaded from .  Is this is a correct way to install?  ./configure make make install   If not, how do I do that? Can we use media9 to show a video on a PDF but the video is not embedded to the PDF? I have video tutorials that I want to show in my presentation with beamer class. I don't want the video files get embedded to the PDF because they will make the PDF size very very huge.  If you know how the videos can be played on the HTML with a reference rather than embedding the video file to the HTML file, I want something like this to be applied to my PDF presentation. I just want to reference the video URL from my PDF presentation.   Shortly speaking, can we use media9 to show a video on a PDF but the video is not embedded to the PDF?  Uploading those videos to a web server might be difficult for me because internet connection is very slow and sometimes not available in the presentation room. :-) Why Listen to Music, why not Listening Music Maximum time I face this problem by saying listening music. Is there any traditional cause behind this?  Can we use listen music or listening music?  Seems there is only a slight difference, but why is listen to music the right way to say it? No reason for anyone to see pending close votes, except OP (and maybe people who already voted) Selecting faces on object from UV editor window I can't see this as an option so is there a way to select faces or islands and have them show up as selected faces on the object in 3D view.  In programs such as maya it is possible to work from either view and makes selection and mapping a little more user friendly.  I suspect it isn't possible in Blender but welcome your feed back.  Edited as flag as already answered, although the question was not asked in the other post in a way that showed in my search.  I was looking for face and island selection to show in both views. The other asked about unselected vertices this obviously did not appear in the results. Show $\frac{1}{4}\leq \mu(A\cap B \cap C)$ Let $\{X,\mathcal{A},\mu\}$ be a probability space. Let $A$, $B$, $C$ be sets in $\mathcal{A}$, which satisfy $$\mu (A\cap B)\geq \frac{1}{2}, \quad \mu (A\cap C)\geq \frac{1}{2}, \quad \mu (B\cap C)\geq \frac{1}{2}.$$ Show that $\frac{1}{4}\leq \mu(A\cap B \cap C)$.  I've managed to show in a previous assignment that $$\mu(A\cap B \cap C)\leq \min\{\mu (A\cap B), \mu (A\cap C), \mu (B\cap C)\},$$ but now I'm stuck with the above inequality. I've tried to draw it, but still no luck. Any hints? Is osmosis a kind of thermal machine? The hyperphysics article defines osmosis as a process driven by internal energy and internal energy is defined as energy associated with random,disordered motion of molecules. Osmosis develops pressure and lifts weight so it has the output of a machine.  But what drives osmosis? Is osmosis driven at the expense of thermal energy although there is no temperature gradient? Fractional Laplacian on the torus What are good advanced LaTeX books? Copy Physics To Multiple Objects