Correctly handling spaces that occur after a user defined command
Space after LaTeX commands
A geometry question: Let $ABCD$ be a convex quadrilateral. Prove that AD is parallel to BC. Let $ABCD$ be a convex quadrilateral such that the length of the segment connecting midpoints of the two opposite sides $AB$ and $CD$ equals $\frac{AD+BC}{2}$ . Prove that AD is parallel to BC. I assume that AD is not parallel to BC but I can't find any contradiction. Force drop db while others may be connected Why the name 'Rogue One'? So far, is there any suggestion, or speculation as to the reason for the name 'Rogue One' for the next Star Wars film?   To me, the name seems very close to the Rogue Squadron, most known from Hoth (their leader Luke Skywalker), especially the number following Rogue like a callsign.   However as far as I know, they were formed after the first Death Star destruction. So why Rogue One? Exploring ocean depths: is pressure an issue? Should it be? An upcoming adventure will have the party exploring the depths of the ocean. Breathing underwater shouldn't be an issue for them, as there are both items and rituals to take care of that, however, I was wondering what to do about about pressure, since none of these options mention it. I'll have to split my question into two, since they are closely related.   Is pressure an issue in 4e adventures? Is it mentioned in any of the published material? Has it been ruled anywhere that options that enable water breathing also grant immunity to pressure? Should it be an issue? This is somewhat subjective, but I really am wondering what other people have done. Would it be unresonable to assume that these options grant immunity to pressure? Should the players work to find another solution? Why {are you / you are} making noise? I always get confused between these two sentences:     Why are you making noise?      Why you are making noise?   Could anyone put light in the differences between the two? Why did Dumbledore 'put on' the Resurrection Stone (Ring)? Dumbledore put on Marvolo's ring, knowing that it was the Resurrection Stone which was on the ring. He also knew (even though he &quot;lost his head&quot; in his excitement to see his family again) that the ring was a Horcrux and would &quot;surely carry a curse&quot;:  When I discovered it, after all those years, buried in the abandoned home of the Gaunts - the Hallow I had craved most of all, though in my youth I had wanted it for very different reasons - I lost my head, Harry. I quite forgot that it was now a Horcrux, that the ring was sure to carry a curse. I picked it up, and I put it on...  -Deathly Hallows, Ch 35 - KING'S CROSS Now when Harry realised that the Resurrection Stone was inside the Snitch, all he had to do was turn it three times for it to 'work':  He closed his eyes and turned the stone over in his hand three times. He knew it had happened, because he heard slight movements around him that suggested frail bodies shifting their footing on the earthy, twig-strewn ground that marked the outer edge of the forest.  -Deathly Hallows, Ch 34 - THE FOREST AGAIN I may be missing something, but did Dumbledore incorrectly use the Resurrection Stone? or did Harry just 'think' that he had to turn it thrice? I'm assuming the answer may have been that Dumbledore wanted to have the ring on, and then turn it thrice whenever he felt like conjuring up his family; or that he simply &quot;lost his head&quot;; but he surely didn't need to put it on right? What is the correct way to use the Resurrection Stone? Classic Fantasy with characters from the real world I read this book about 6-8 years ago, and it was already slightly old at that point. The key parts were that the characters were all from Earth (America, if I remember correctly - one character internally monologues about remembering exactly how many steps it takes to get to a specific beach from his house, and while I don't remember the beach name, I remember thinking it was American) and woke up in a fantasy world, scattered about, and not remembering where they come from for quite a while.  Each abductee is wearing a bracelet with (what I remember as) polyhedral dice, although they aren't named that I think I inferred it from the description, and at some point they start using them as a form of magic. They find out that they were all abducted by a wizard so they go to find him. I can't remember what happens next, other than that eventually they find him and in a later book in the series (that I only saw the blurb of) they go back to his castle.  I think the book might be called "______ Keep", and am fairly certain the later book in the series is called "Return to ______ Keep".  I'd really appreciate it if someone who knew the title could tell me - it's like an unscratched itch at the moment, and I'd love to read it again! PATH variable resets with reboot Downgrade SQL Server Enterprise Edition to SQL Server Standard Edition Vertical Text in Wpf TextBlock Is it possible to display the text in a TextBlock vertically so that all letters are stacked upon each other (not rotated with LayoutTransform)? Video editing software options? Proving convergence of sums: If $\sum_{n=1}^{\infty}a^2_n$ and $\sum_{n=1}^{\infty}b^2_n$ converge then $\sum_{n=1}^{\infty}a_nb_n$ converges How can I see my progress for different badges? I am trying to obtain more badges on Stack Overflow. For example, to gain Archaeologist I need to edit 100 inactive posts but I am not keeping track of the number of posts I've edited. For Deputy I need to raise 80 helpful flags, etc. How can I view all my statistics about the badges, such as how many more edits I need to do, etc. I'm not doing it for badges, but I can spend a bit more effort if I'm close to getting a badge. Real Numbers Raised to Imaginary Powers? What is a real number to the power of an imaginary or complex number? e.g. 3i. I have searched through sites about imaginary numbers, but none seem to say anything about imaginary indices. Examples and explanations would be appreciated. I'm trying to use push with AppInbox/Cloud Pages. I want the Cloud Page that is linked to the push message to be able to display dynamic content based on an attribute for that contact. This page -  - says that it is possible to personalise Cloud Page content but doesn't say how. I've already had a Salesforce support case opened and closed with no luck - apparently it's not their job to assist me with how to do something even if they say something is possible but back it up with no documentation for how it might be done. I've tried the normal way you'd do it from an email, using both the _subscriberkey personalisation string as well as the RequestParameter function with fields from the entry source DE, but neither of these work. Given you're selecting a static Cloud Page when you set up the send and there's no visible way to add attributes, how do you actually get a Cloud Page to pick up these values? Powerset of set with empty sets I am working on a problem with the following set:  $$S =  \{\varnothing,\{\varnothing\}\}$$  My solution was: $P(S) = \{\varnothing, \{\varnothing\},\{ \varnothing , \{ \varnothing \}\}\}$, but the solution on the textbook shows: $P(S) = \{ \varnothing , \{ \varnothing \}, \{\{\varnothing\}\}, \{ \varnothing , \{ \varnothing \}\}$  Where does the $\{\{\varnothing\}\}$ come from?  Thanks How to get a vertical bar which is longer than \mid ? sometimes when writing mathematical expression with partial derivatives, one needs to write a vertical bar afterwards and write the value at the which the partial derivatives are being computed as subscripts. See for example the bottom post here:    However, the \mid symbol doesn't produce a tall bar that corresponds to the size of the partial derivatives term. Is there a way to have a taller bar?   PS: Some other posts here mention \middle| but this doesn't compile on my computer.  Thanks in advance.... iPhone SDK: what is the difference between loadView and viewDidLoad? When working with views and view controllers in an iPhone app, can anyone explain the difference between loadView and viewDidLoad?    My personal context, is that I build all my views from code, I do not and will not use Interface Builder, should that make any difference.  I've found that often when I add init code to loadView, I end up with an infinite stack trace, so I typically do all my child-view building in viewDidLoad...but it's really unclear to me when each gets executed, and what is the more appropriate place to put init code.  What would be perfect, is a simple diagram of the initialization calls.  Thanks! Cannot add PPA: 'ppa:~darklin20/ubuntu/bomi'.     ERROR: '~darklin20' user or team does not exist.   Showing this message when suing this command:    sudo add-apt-repository ppa:darklin20/bomi   please help me. Is there a way to add a timer to a Beamer presentation?