In the first book of the Artemis Fowl series, Fowl Manor has been placed in a magically induced time-stop, which theoretically traps anyone inside it at the time that it was started. Communication with the outside world is completely cut off, and a side effect on living creatures is that they can't fall asleep if they were awake when the stop started, and vice versa.   A major plot point towards the end of the book is that someone can force themselves out of the time-stop by taking sleeping pills. The change in consciousness essentially spits them out of the past (where time is stopped) and into the present. To people in the time-stop, those who have left seem to have vanished, as evidenced by Artemis's mother disappearing from security footage earlier in the book.  In chapter 9, there a bit of a political power struggle between two fairy officers, which ends with one of them (Acting Commander Cudgeon) being knocked out by a tranq dart. However, he doesn't appear to exit the time stop. Is there any explanation given (either in the books or other supplementary materials) as to why this is the case?
In Book 1, Artemis et al escaped from the time stop by drugging themselves to sleep.  In the same time stop, Julius Root "accidentally" plugged Briar Cudgeon with a tranquilizer dart.  Cudgeon fell asleep, but did not disappear from the time stop.  Why not?
ReadOnlyCollection or IEnumerable for exposing member collections? Is there any reason to expose an internal collection as a ReadOnlyCollection rather than an IEnumerable if the calling code only iterates over the collection?  class Bar {     private ICollection&lt;Foo&gt; foos;      // Which one is to be preferred?     public IEnumerable&lt;Foo&gt; Foos { ... }     public ReadOnlyCollection&lt;Foo&gt; Foos { ... } }   // Calling code:  foreach (var f in bar.Foos)     DoSomething(f);   As I see it IEnumerable is a subset of the interface of ReadOnlyCollection and it does not allow the user to modify the collection. So if the IEnumberable interface is enough then that is the one to use. Is that a proper way of reasoning about it or am I missing something?  Thanks /Erik Are Windows file timestamps timezone aware? Take a screenshot of a webpage with JavaScript? Get specific GPS location somehow on windows 8 Can you raise $\pi$ to a real power to make it rational? Cannot change brightness setting using function buttons or using the brightness control bar on HP laptop Need a matrix to seventh power which is the identity but the original is not or the negative identity The question on the homework wants a $2\times2$ matrix $R$, but $R$ not equal to positive or negative identity, that when you raise to seventh power you get the identity.  $R^7=\operatorname{Id}$.  I thought it would have to be some ones and negative ones,  it no luck, then tried some ones and some $.5$.  Just using an online matrix calculator to do brute force.  We just started talking about eigenvalues with visual example, so assuming wouldn't need that since we have not talked about how to find them yet.  Any hints or ideas to get me back on track? What does 'Ign' , `Get` or 'Hit' mean when running an apt-get update? What is the string concatenation operator in Oracle? What is the string concatenation operator in Oracle SQL?    Are there any "interesting" features I should be careful of?    (This seems obvious, but I couldn't find a previous question asking it). What are the rules of engagement with respect to SEO in HTML 5?  Examples of things we have been mulling over with no conclusion:   Are you penalised for not using &lt;head&gt; and &lt;body&gt; tags? Do links in &lt;nav&gt; blocks get prioritised for follows? With &lt;aside&gt; (no bside though), &lt;section&gt;, &lt;summary&gt; and &lt;details&gt; which ones carry the most weight for content, one-liner descriptions and keyword tags are there search engine implications? If you use CSS to put a &lt;footer&gt; element at the top and a &lt;header&gt; element at the bottom (not that you would but it may be construed as such by an incomplete spider implementation)? Does the use of placeholder attributes on &lt;input&gt; show you are more user focused?   At the minute we are haphazardly pinning the content on the donkey with regard to tag usage but would be interesting to know if anyone has any insight into the "correct" tags to use with regards to SEO. Intertext vertical spacing How do I reduce the vertical spacing of \intertext? How does a USB 2.0 Wall Charger negotiate current output? I'm trying to use a mobile phone charger for my projects, and want a high current output. I have read , however my measurements show something else.  is a link to the Battery Charging Specification Rev. 1.2.  1.4.7 Dedicated Charging Port A Dedicated Charging Port (DCP) is a downstream port on a device that outputs power through a USB connector, but is not capable of enumerating a downstream device. A DCP shall source \$I_{DCP}\$ at an average voltage of \$V_{CHG}\$. A DCP shall short the D+ line to the D- line.   I verified on three different chargers, and all read \$R_{DCP\_DAT}\$ as ~1.5 Ohms. Now, if there is a short between the D+ and D-, there is no detection on the charging port side, and the charger should always output \$I_{DCP}\$ {0.5 - 5.0A max} on the VBUS line - is this correct? I tested the current output of three chargers, but they are all completely different. Charger 1 - Nokia Rated current output: 1.3A Measured current output: 1.34A Charger 2 - Asus Rated current output: 2.0A Measured current output: 0.7A - 1.1A (unstable) Charger 3 - HTC Rated current output: 1A Measurent current output: 0.1A If all these dedicated charging ports have no current negotiation, how come only one charger is showing it's rated output? N.B All three chargers can charge a mobile phone in a reasonable amount of time. For sets $A,B$, let $|A|\leq^*|B|$ say that there exists an onto map $f:B\rightarrow A$ or $A=\emptyset$.   My question is, is $$\forall A,B(|A|\leq^*|B|\longrightarrow |A|\leq|B|)$$ equivalent to the axiom of choice?  Thanks In order to animate a character so that it grabs an object an throws it, I added a Child-Of constrained and keyframed its influence. In the F-curve Editor I can't set the curve which controls the influence to interpolation-mode Constant without changing the other curves (Which should be linear or bezier).   How can the interpolation mode of a curve changed independently? Updating my appointment without cancelling the previous date Conditional Expectation of Composite Function Preliminaries  Let $(\Omega, \mathcal{G}, \mathbb{P})$ be a complete probability space.  Let $D$ be a complete, separable, metrizable topological space with Borel $\sigma$-algebra $\mathcal{B}(D)$ (such as $D = \mathbb{R}^q$ with $\sigma$-algebra $\mathcal{B}(D) = \mathcal{B}(\mathbb{R}^d)$).  Let $\mathbb{R}$ be equipped with its canonical Borel $\sigma$-algebra $\mathcal{B}(\mathbb{R})$.  Let $g: \Omega \times D \rightarrow \mathbb{R}$ be a bounded $(\mathcal{G} \otimes \mathcal{B}(D) ) / \mathcal{B}(\mathbb{R})$-measurable function.  Let $\Pi: \Omega \rightarrow D$ be a $\mathcal{G}/\mathcal{B}(D)$-measurable random variable.  Let $H : \Omega \rightarrow \mathbb{R}$ be a $\mathcal{G}/\mathcal{B}(\mathbb{R})$-measurable random variable, defined by $$ H(\omega) := g(\omega, \Pi(\omega)).$$ Note, that, since $g$ is bounded, we have $H \in \mathcal{L}^2(\Omega, \mathcal{G}, \mathbb{P})$.  Let $j: D \rightarrow \mathcal{L}^2(\Omega, \mathcal{G}, \mathbb{P}) $ be defined by $$ j(\pi)(\omega) := g(\omega, \pi)  $$  For all $\pi \in D$, let $j(\pi)$ be independent of $\Pi$.  Question  I am interested in the conditional expectation $$\mathbb{E}[H \mid \Pi] :\Omega \rightarrow \mathbb{R}$$ of $H$ with respect to $\Pi$. More specifically, I suspect that (a $\mathbb{P}$-unique version of) this condititional expectation is given by  $$ \mathbb{E}[H \mid \Pi] (\omega) = \mathbb{E}[j(\Pi(\omega))], \quad (\dagger)  $$ whereby $\mathbb{E}[j(\Pi(\omega))]$ can of course also be written as $$\mathbb{E}[j(\Pi(\omega))] = \int_{\Omega} j(\Pi(\omega))(\tilde{\omega}) d\mathbb{P}(\tilde{\omega}) . $$  How can I prove, that $(\dagger)$ is the case? I have tried, tracking the definition of conditional expectation and using Fubini, but with little success so far.  Thanks for any advice! How to place an image at the right top of a document? I've been learning LaTeX and this community has been very helpful. Currently, I'm trying to set up corporate letters but as a newbie I'm encountering a  of , so I'm posting them one by one instead of putting it in the comments... maybe this helps others as well.  Anyway, I am trying to implement this  that indicates that I can use vbox to float an image to the right of my header. I almost have this working, but I now try to adjust this to get my logo to stick to the top of the page. So I want to have this at the right top of my document. This is quite difficult! When I place the vbox, it creates unwanted spacing, for some odd reason. So I can not get the logo to be at the right top, even though I 'reset' every possible margin to 0 (in my opinion). Here is my distilled code:  \documentclass[a4paper]{article} \usepackage{graphicx} \graphicspath{{./img/}} \usepackage{color} \usepackage{xcolor} \definecolor{orange}{HTML}{DD4616} \definecolor{white}{HTML}{FFFFFF} \usepackage{fullpage} \usepackage[margin=0cm, paperwidth=215.9mm, paperheight=30mm,top=0cm]{geometry} \parindent=0pt  \begin{document} \fboxsep0pt  \pagecolor{orange}   \fbox{\vbox to 0pt{\hfill\fbox{\includegraphics[height=3cm]{logo}}}}  \end{document}   I've used a full black logo for illustrative purposes. Here you can see this:    The black line is the vbox border. For some reason, it jumps down. The only way to get rid of this that I found out about is this:    Which means that I need to add:  \edef\theprevdepth{\the\prevdepth}\nointerlineskip \vbox to 0pt{...}\prevdepth=\theprevdepth   But there are two problems with this:   I get an error with I try this (Improper \prevdepth.) More importantly, I really want to understand my code at this point, and get to master the basics of positioning elements. This feels overcomplicated and I do not understand it at all.    Is there any easy way to position an image at the right top of a document? Question of an isomorphism of $\epsilon_ 0$ and a subset of the rationals. How to convert int[] to Integer[] in Java? Can I sign up to a Windows 10 free upgrade now and defer the actual install until after the July 29 deadline?