Does the extradimensional space created by Mordenkainen's Magnificent Mansion count as a separate plane? You conjure an extradimensional dwelling in range that lasts for the duration   Does this extradimensional space count as a separate plane for effects dependent on the plane a player is on.  For example, take  .     [...] if the target is on a different plane than you, there is a 5 percent chance that the message doesn't arrive.   What about the various planar effects outlined in the Dungeon Master's Guide?  (DMG p. 47)     Creatures on the Astral Plane don't age or suffer from hunger or thirst   (DMG p.61)     As an action, a creature on Limbo can make an Intelligence check to mentally move an object on the plane that it can see within 30 feet of it.
Does the Mordenkainen's Magnificent Mansion spell's mansion exist on a separate plane of existence? In particular: the  spell (PHB, p. 281) states:  [...] The creature can be anywhere on the same plane of existence as you. The spell ends if you or the target are no longer on the same plane. [...]  Can telepathy connect two characters, one inside the extradimensional dwelling created by the  spell and the other in the same plane as the portal to the magnificent mansion?
If $|z_1|=1,|z_2|=1$, how can one prove $|1+z_1|+|1+z_2|+|1+z_1z_2|\ge2$ Four tasks in parallel... how do I do that? I have a bunch of PNG images on a directory. I have an application called pngout that I run to compress these images. This application is called by a script I did. The problem is that this script does one at a time, something like this:  FILES=(./*.png) for f in  "${FILES[@]}" do         echo "Processing $f file..."         # take action on each file. $f store current file name         ./pngout -s0 $f R${f/\.\//} done   Processing just one file at a time, takes a lot of time. After running this app, I see that the CPU is just 10%. So I discovered that I can divide these files in 4 batches, put each batch in a directory and fire 4, from four terminal windows, four processes, so I have four instances of my script, at the same time, processing those images and the job takes 1/4 of the time.  The second problem is that I lost time dividing the images and batches and copying the script to four directories, open 4 terminal windows, bla bla...  How do that with one script, without having to divide anything?  I mean two things: first how do I from a bash script, fire a process to the background ? (just add &amp; to the end?) Second: how do I stop sending tasks to the background after sending the fourth tasks and put the script to wait until the tasks end? I mean, just sending a new task to the background as one tasks end, keeping always 4 tasks in parallel? if I do not do that the loop will fire zillions of tasks to the background and the CPU will clog. Eeeek! Something stole the protection! (Why is this protected question unprotected?) asked me to report this (apparent) bug.  When he tried to protect  question someone (or something) stole the question's protection, which has since been missing:          The question shows no sign of having the protection removed, thus I believe it was abducted. I am sure justice will be done, and this poor question will receive the protection it deserves.     I recommend interrogating the  that was said to have announced this question to the world, I bet it would have some useful information. How to perform Stream functions on an Iterable? What is the official name for the "special" ASP.NET tags like this:  &lt;%# %&gt; &lt;%= %&gt; &lt;%@ %&gt; &lt;%$ %&gt;   I can't seem to figure out the conceptual or well known name for these, so I'm having trouble searching for more info.  As a bonus, can anyone give me a quick rundown of all of the possible "special tags" and what each one of them does (or point me to a resource)? Why does camera this tracking fail completely even when the solution value is very low? Can my friend and I play minecraft together with different mods? .NET String.Format() to add commas in thousands place for a number I want to add a comma in the thousands place for a number.     String.Format()? How to shut down Ubuntu 11.10 host from within a Windows 7 VirtualBox guest? Ranking based on binomial data (example: website conversions) Pretty-print a Map in Java This is a somewhat bizarre question. My objectives are to understand the language design decision and to identify the possibilities of reflection in C++.   Why C++ language committee did not go towards implementing reflection in the language? Is reflection too difficult in a language that does not run on a virtual machine (like java)? If one were to implement reflection for C++, what will be the challenges?   I guess the uses of reflection are well-known: editors can be more easily written, program code will be smaller, mocks can be generated for unit tests and so on. But it would be great if you could comment on uses of reflection too. How do you find the value of $\sum_{r=0}^{44} \tan^2(2r+1)$? Problem:   Find the value of $$\sum_{r=0}^{44} \tan^2(2r+1)$$  Note: The angles here are in degrees.    I don't know how to solve this question because trigonometric simplifications didn't get me anywhere. I think there was a method to solve this question using complex numbers which I no longer remember. Any hint/help will be appreciated. How to enable sleep/standby on Windows Server 2012 Hyper V Complex number isomorphic to certain $2\times 2$ matrices? I have been trying to prove this, but I am having trouble understanding how to prove the following mapping I found is injective and surjective. Just as a side note, I am trying to show the complex ring is isomorphic to special $2\times2$ matrices in regard to matrix multiplication and addition. Showing these hold is simple enough.  $$\phi:a+bi \rightarrow \begin{pmatrix} a &amp; -b \\ b &amp; a \end{pmatrix}$$  This is what I have so far:  Injective: I am also confused over the fact that there are two operations, and in turn two neutral elements (1 and 0). Showing that the kernel is trivial is usually the way I go about proving whether a mapping is injective, but I just can't grasp this.  $$ \phi(z_1) = \phi(z_2) \implies \phi(z_1)\phi(z_2)^{-1} = I = \phi(z_1)\phi(z_2^{-1}) = \phi(z_2)\phi(z_2^{-1}).$$  So if we can just show that the kernel of $\phi$ is trivial, then it also shows that $z_1 = z_2$. The only complex number that maps to the identity matrix is one where $a = 1$ and $b = 0$, $a + bi = 1 + 0i = 1$.  Using a similar argument for addition we can just say that the only complex number $z$ such that $\phi(z) = 0\text{-matrix}$, is one where $a=0$ and $b=0$, $a+bi=0+0i=0$.   Surjective:  I forgot to add this before I posted, but I honestly don't really understand how to prove this because it just seems so obvious. All possible $2\times2$ matrices of that form have a complex representation because the complex number can always be identified by its real parts and since the elements of the $2\times2$ matrix are real then the mapping is obviously onto.  I have always had trouble understanding when I can say that I have "rigorously" proved something, so any help would be appreciated! Is there a word for someone who won't think critically? Is there a word for someone who won't think through issues and instead comes to others hoping that they will think for them and solve problems for them?  A word that is more specific to a lack of critical thinking skills than "lazy"? Adjectives order: opinion or size? speaking, opinion goes before size, i.e. opinion, size, age, shape, color, origin, material, purpose. However, I saw this example in Practical English Usage, third edition, page 12:      a big beautiful garden   Or you have probably heard the known expression  (BBW). What am I missing? Cycles : shadows on smooth shaded mesh, strange behavior I have a list of items   John ID Matt ID John ID Scott ID Matt ID John ID Lucas ID   I want to shove them back into a list like so which also means I want to sort by the highest number of duplicates.   John ID 3 Matt ID 2 Scott ID 1 Lucas ID 1   Let me know how I can do this with LINQ and C#.  Thanks All  EDIT 2 Showing Code:      List&lt;game&gt; inventory = new List&lt;game&gt;();     drinkingforDataContext db = new drinkingforDataContext();     foreach (string item in tbTitle.Text.Split(' '))     {          List&lt;game&gt; getItems = (from dfg in db.drinkingfor_Games                                where dfg.game_Name.Contains(tbTitle.Text)                                select new game                                {                                    gameName = dfg.game_Name,                                    gameID = Boomers.Utilities.Guids.Encoder.EncodeURLs(dfg.uid)                                }).ToList&lt;game&gt;();          for (int i = 0; i &lt; getItems.Count(); i++)         {             inventory.Add(getItems[i]);         }     }      var items = (from xx in inventory                  group xx by xx into g                  let count = g.Count()                  orderby count descending                  select new                     {                         Count = count,                         gameName = g.Key.gameName,                         gameID = g.Key.gameID                     });      lvRelatedGames.DataSource = items;     lvRelatedGames.DataBind();   This query displays these results:   1 hello world times 1 hello world times 1 Hello World. 1 hello world times 1 hello world times 1 hello world times 1 Hello World. 1 hello world times   It gives me the count and name, but it doesn't give me the ID of the game....  It should display:   6 hello world times   234234 2 Hello World.  23432432 How to logout an user from the connected app? NOTE: I am not interested in calling /secur/logout.jsp since it ends all the active salesforce sessions.  I am developing a web application that is registered on salesforce as a connected app, so I am using salesforce credentials to authorize the user.  Application is developed in REST API and the communication with salesforce is happening in restful manner.   Auth url:   Authorization:  Method 1: If there is no salesforce session active, The user is taken to salesforce login page, where he enters his salesforce details to be authorized and after which he is taken to home page of my web application.  Method 2: If there is already a salesforce session active in another tab, the user is directly authorized and is taken to home page of my web application.  Now I am trying to implement logout button for my application, such that the following scenarios are covered,  Scene 1: The user is authorized using method1, and the user press the logout. Upon trying to logback the user is prompted for credentials.  Scene 2:  The user is authorized using method2, and the user should use logout to logout of the web application (not from active sessions). Upon login, the user should be again able to login using method2.  Can someone help me on how to implement the logout button such that it covers scenario 1 &amp; 2.  Thanks in advance.