What are the significant changes with the revised Unearthed Arcana Ranger?
What are the biggest changes between UA Ranger and PHB Ranger?
Electromagnetic wave properties of light vs radio waves Why are there so many bottomless pits in Star Wars Should I use UUID as well as ID I have a ListBox DataTemplate in WPF. I want one item to be tight against the left side of the ListBox and another item to be tight against the right side, but I can't figure out how to do this.  So far I have a Grid with three columns, the left and right ones have content and the center is a placeholder with it's width set to "*". Where am I going wrong?  Here is the code:  &lt;DataTemplate x:Key="SmallCustomerListItem"&gt;     &lt;Grid HorizontalAlignment="Stretch"&gt;         &lt;Grid.RowDefinitions&gt;             &lt;RowDefinition/&gt;         &lt;/Grid.RowDefinitions&gt;         &lt;Grid.ColumnDefinitions&gt;             &lt;ColumnDefinition/&gt;             &lt;ColumnDefinition Width="*"/&gt;             &lt;ColumnDefinition/&gt;         &lt;/Grid.ColumnDefinitions&gt;         &lt;WrapPanel HorizontalAlignment="Stretch" Margin="0"&gt;             &lt;!--Some content here--&gt;             &lt;TextBlock Text="{Binding Path=LastName}" TextWrapping="Wrap" FontSize="24"/&gt;             &lt;TextBlock Text=", " TextWrapping="Wrap" FontSize="24"/&gt;             &lt;TextBlock Text="{Binding Path=FirstName}" TextWrapping="Wrap" FontSize="24"/&gt;          &lt;/WrapPanel&gt;         &lt;ListBox ItemsSource="{Binding Path=PhoneNumbers}" Grid.Column="2" d:DesignWidth="100" d:DesignHeight="50"      Margin="8,0" Background="Transparent" BorderBrush="Transparent" IsHitTestVisible="False" HorizontalAlignment="Stretch"/&gt;     &lt;/Grid&gt; &lt;/DataTemplate&gt; Real numbers equipped with the metric $ d (x,y) = | \arctan(x) - \arctan(y)| $ is an incomplete metric space I have to show that the real numbers equipped with the metric $ d (x,y) = | \arctan(x) - \arctan(y)| $ is an incomplete metric space.  Certainly, I have to search for a Cauchy sequence of real numbers with respect to given metric that must not be convergent. But I am unable to figure out that.  Can anybody help me with this.   Thanks for helping me. Exact probability of random graph being connected The problem: I'm trying to find the probability of a random undirected graph being connected. I'm using the model $G(n,p)$, where there are at most $n(n-1) \over 2$ edges (no self-loops or duplicate edges) and each edge has a probability $p$ of existing. I found a simple formula online  where $f(n)$ is the probability of $G(n,p)$ being connected. But apparently it's too trivial for the writer to explain the formula (it was just stated briefly).  The desired formula: $f(n) = 1-\sum\limits_{i=1}^{n-1}f(i){n-1 \choose i-1}(1-p)^{i(n-i)}$  My method is: Consider any vertex $v$. Then there's a probability ${n-1 \choose i}p^i(1-p)^{n-1-i}$ that it will have $i$ neighbours. After connecting $v$ to these $i$ neighbours, we contract them ($v$ and its neighbours) into a single connected component, so we are left with the problem of $n-i$ vertices (the connected component plus $n-i-1$ other "normal" vertices.   Except that now the probability of the vertex representing connected component being connected to any other vertex is $1-(1-p)^i$. So I introduced another parameter $s$ into the formula, giving us:  $g(n,s)=\sum\limits_{i=1}^{n-1}g(n-i,i){n-1 \choose i}q^i(1-q)^{n-1-i}$,  where $q=1-(1-p)^s$. Then $f(n)=g(n,1)$. But this is nowhere as simple as the mentioned formula, as it has an additional parameter...  Can someone explain how the formula $f(n)$ is obtained? Thanks! According to , if there is a potential difference, $V$, across a resistor then there is a current, $I$, flowing through it.   Since we assume that points along the connecting wire are at the same potential, how can current, $I$ flow between points at the same potential, $V$? How to partition an encrypted disk I've installed Ubuntu 13.10 and formatted my whole HDD ,and i chose to encrypt the disk and it automatically chose the LVM option (and put it as a logical partition) now after Ubuntu installed i tried to repartition the disk thru Live CD put GPartition gave me it's an encrypted partition and it can't be resized , i want to put the system's files and the home folder on partition and my private files on another one  Any help please ? If I type something like this:  {\itshape\LARGE   Dunt venim dolorerosto do odit   ametum vulla conum dolore   conulput in vero od el   Dunt venim dolorerosto do odit   ametum vulla conum dolore   conulput in vero od el }   it results in a block of 4 lines with narrow spacing between the 1st and 2nd line and between the 3rd and 4th line. Line spacing between the 2nd and 3rd line is normal.  I can't fully explaing it to myself so I am looking for a short description for this behaviour. I know for example that with a \par at the end of the text (inside the group), the calculation would correct. But I have no idea why... How to kill a player when they touch a block? I am making a multiplayer parkour map on bedrock edition, and I have it set up where when a player steps on a grass block they die. But when a player steps on a grass block it just kills anyone who touches it.  First: A repeat command block (set to always active and unconditional)   execute @e [type=player] ~ ~ ~ testforblock ~ ~-1 ~ grass   And then I have a chain command block (set to conditional and always active)  kill @e [type=player]   And it does work..... IF in singleplayer only. (which is not at all what I want)  Thank y'all in advance. How to calculate $\int_0^{\pi/2} \sin^a x \cos^b x \,\mathrm{d} x$ How to disable all Vim-LaTeX mappings? I like some of the features provided by the Vim-LaTeX suite, but not all of them.  In particular, I dislike all of the mappings like [[ = \left[ \right] and the automatic placeholder stuff with &lt;++&gt;. I am a very fast typist but with that comes more typing mistakes, which I correct almost instantly by pressing backspace. Unfortunately, if something has automatically added a bunch of place-holders or expanded some expression, I then have to move around the document and remove more characters than necessary. For example, if I accidentally press [ twice, instead of only having to delete one character, I have to delete 10.  Having already looked through the documentation, and some of the source, I have managed to disable some of these "features", but not all of them:  In particular:  let g:Tex_SmartKeyBS = 0 let g:Tex_SmartKeyQuote = 0 let g:Tex_SmartKeyDot = 0   (Turn off maps for backspace, double quote and triple dot.)  let g:Imap_UsePlaceHolders = 0   (Turn off &lt;++&gt; placeholder insertion.)  But I can't seem to find a way of turning off the other stuff. Anyone have any suggestions?  Edit: I was able to "disable" some more things by setting:  let g:Tex_Leader = '`tex' let g:Tex_Leader2 = ',tex'   (Which stops some expansions but still not all. It's not really disabling it but just making it less likely that you're going to type in `texa as opposed to the potentially more common `a, for example.)  PS: Personally, I think it is very poor practice to make an optional package that, when installed, greatly changes the default handling of your system. I don't mind some intelligent source highlighting etc, or some new commands (that don't clobber any old ones), but it seems unhelpful to enable this drastic kind of key remapping by default. Find $\lim_{n\to\infty}2^n\underbrace{\sqrt{2-\sqrt{2+\sqrt{2+\dots+\sqrt2}}}}_{n \textrm{ square roots}}$. Find $\displaystyle \lim_{n\to\infty}2^n\underbrace{\sqrt{2-\sqrt{2+\sqrt{2+\dots+\sqrt2}}}}_{n \textrm{ square roots}}$.   By geometry method, I know that this is $\pi$. But is there algebraic method to find this ?   Thank you. How do you programmatically set an attribute? What should my Objective-C singleton look like? My singleton accessor method is usually some variant of:  static MyClass *gInstance = NULL;  + (MyClass *)instance {     @synchronized(self)     {         if (gInstance == NULL)             gInstance = [[self alloc] init];     }      return(gInstance); }   What could I be doing to improve this? The Wifi is working fine but no internet connection in Windows 8 Prove $(a^2+b^2)(c^2+d^2)\ge (ac+bd)^2$ for all $a,b,c,d\in\mathbb{R}$. Working in a group blender project How to insert text into a root-owned file using sudo? print IP address with interface name I want to show the IP address like below  lo : 127.0.0.1  eth0 : 192.168.5.123 eth1 : 192.172.0.212 wlan0 : 10.1.0.124   I'm able to print all IP address by ifconfig | awk '/inet addr/{print substr($2,6)}'. But it is only printing the IPs. Every system have their own interface names and addresses. So my script has to show their interfaces with respect to IP addresses.