In the Deathly Hallows, with the 7 Potters, Fleur still talks with a french accent, in the book and the recording.     “Bah,” said Fleur, checking herself in the microwave door, “Bill, don’t look   at me—I’m ’ideous.”   But something that was not addressed in , is that when listening to the recording, when Hermione changes into Malfada Hopkirk, she completely alters her voice, along with Harry and Ron. (Sorry, no evidence.)  What is the explanation for this?
On the Goblet of Fire Barty Crouch exactly got Mad-Eye's voice when he transformed into him, but on the Deathly Hallows, they were all able to have their own voices instead of Harry's. Why is the effect of the polyjuice potion inconsistent?
$a_{n+1}=\log(1+a_n),~a_1>0$. Then find $\lim_{n \rightarrow \infty} n \cdot a_n$ Remove subscribers from Auto Suppression List I have seen the following methods of putting JavaScript code in an &lt;a&gt; tag:  function DoSomething() { ... return false; }    &lt;a href="javascript:;" onClick="return DoSomething();"&gt;link&lt;/a&gt; &lt;a href="javascript:DoSomething();"&gt;link&lt;/a&gt; &lt;a href="javascript:void(0);" onClick="return DoSomething();"&gt;link&lt;/a&gt; &lt;a href="#" onClick="return DoSomething();"&gt;link&lt;/a&gt;   I understand the idea of trying to put a valid URL instead of just JavaScript code, just in case the user doesn't have JavaScript enabled. But for the purpose of this discussion, I need to assume JavaScript is enabled (they can't login without it).  I personally like option 2 as it allows you to see what's going to be run&ndash;especially useful when debuging where there are parameters being passed to the function. I have used it quite a bit and haven't found browser issues.  I have read that people recommend 4, because it gives the user a real link to follow, but really, # isn't "real". It will go absolutely no where.  Is there one that isn't support or is really bad, when you know the user has JavaScript enabled?  Related question: . Is irrational times rational always irrational? Is an irrational number times a rational number always irrational?  If the rational number is zero, then the result will be rational. So can we conclude that in general, we can't decide, and it depends on the rational number? Word for killing off or attempting to kill off an entire bloodline? Font size setting is missed in iPhone application Can you add a setting for choosing font size in iPhone mobile app?   It's hard to read questions. I'm using classicthesis to write my document. I don't use the option drafting but I can see on the bottom of the page the date (there is a part of the date that is not readable, but when I copy and paste this part I obtain [ December 1, 2011 at 20:50 ]). This is my code:  \documentclass[a4paper]{scrreprt}   % classe report di KOMA-Script  \usepackage[english]{babel}     % Per scrivere in inglese \usepackage[T1]{fontenc}        % Imposta la codifica dei font \usepackage[utf8]{inputenc}     % Lettere accentate da tastiera \usepackage{classicthesis-preamble} % Preambolo classicthesis \usepackage{classicthesis}      % Classicthesis  \begin{document}  \input{Chapters/0_Introduction} [...]  \end{document}   I would like to avoid this little issue.  I use TeXworks in Windows7 x64. Passing variable arguments to another function that accepts a variable argument list Proof that $(x-1)^2$ divides a $nx^{n+1} – (n+1)x^{n}+1$ Are partitions to the inner/outer edge significantly faster Some linux dual/multi-boot tutorials / general partitioning tutorials say that the inner side of a hard disk is faster than the outer side so partitions towards the outside tend to be slower while some say that the exact opposite is true.  Which side is actually faster?  Is the difference noticeable?  How are the partitions physically placed on the disk as compared to the partition listing order-for example gparted shows a logical ribbon layout of the partitions. Are the partitions shown to the left side of this ribbon near the outer or inner edge of the disk physically?  Are there software benchmarks like testing some disk intensive stuff for the first time on identical vanilla installs of the same OS but on different partitions, inner and outer?  EDIT: Links   ctrl + f for "slower" on this page   Says outer side is faster   Says inner side is faster   Says outer side is faster(not about dual-booting) How can one show that for triangles of sides $a,b,c$ that   $$\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b} &lt; 2$$  My proof is long winded, which is why I am posting the problem here.   Step 1: let $a=x+y$, $b=y+z$, $c=x+z$, and let $x+y+z=1$ to get   $\frac{1-x}{1+x}+\frac{1-y}{1+y}+\frac{1-z}{1+z}&lt;2$  Step 2: consider the function $f(x)=\frac{1-x}{1+x}$, and note that it is convex on the interval (0,1), so the minimum of   $\frac{1-x}{1+x}+\frac{1-y}{1+y}+\frac{1-z}{1+z}$  is reached when the function takes the extreme points. i.e. $x=y=0, z=1$.    But going back to the fact that this is a triangle, we note that $x=y=0 \implies a=0$ which is not possible, so the inequality is strict. If a Matrix Has Only Zero as an Eigen-Value Then It Is Nilpotent How do I install drivers for Realtek RTL8812BU? So I've been experimenting with Ubuntu on and off for a while, but I honestly have no idea what the hell I'm doing. So I have a realtek RTL8812bu WiFi dongle that I'm hoping to get working. I did some research, and came across  that a couple people across two threads said worked for them:  At the bottom it said there is a new version . So somewhere it said it was confirmed to work on kernels up to 4.16, so I checked and I'm on 4.15.0. But the problem I'm having, is what am I supposed to do? There is some installation guide at the bottom that is about as clear as mud to me since I don't know much. From the  on the dual of a norm:  $X$ and $Y$ are normed spaces, and we associate with each $f\in L(X,Y)$ (the space of bounded linear operators from $X$ to $Y$) the number $$\|f\| = \sup\{|f(x)|:x\in X, \|x\| \leq 1\}.$$  At some point in the proof that $L(X,Y)$ is bounded, it seems like they use the inequality $$\|fx\| \leq \|f\|\cdot\|x\|,$$ where $\|x\|\leq 1$.  I can't see why this should holds.   $\|f|\|$ is the supremum of what $|f(x)|$ can be, given that $\|x\|\leq 1$. So, given that $\|x\| \leq 1$, $|fx|$ should be bounded by $\|f\|$. But why should it be bounded by $\|f\|\cdot\|x\|$? Density of random variables Let $X$ and $Y$ be independent random variables with respective densities: $f_X (x) = xe^{-\frac{x^2}{ 2}} 1_{]0,+\infty[} (x)$ and $ f_Y (y) =  \frac{1}{\pi \sqrt{1-y^2}} 1_{]-1,1[} (y)$  Let $U:=XY$ and $V:=X\sqrt{1-Y^2}$  I try to check whether U and V are independent and which law they follow.  What I did:  After some calculations, I found the density of $(U,V)$:  $ f_{(U,V)}(u,v)=\frac{1}{\pi } e^{-\frac{u^2}{ 2}}1_{\mathbb{R}}e^{-\frac{v^2}{ 2}}1_{\mathbb{R}_+^* }$ Which mean that $(U,V)$ follows a $ \mathcal{N}(0,1)$ law (because $u^2+v^2=x^2$) and that  U and V are independent because $f_{(U,V)}$ can be factored as the products of densities of $U$ and $V$  My question:  There is a factor $\frac{1}{\pi}$ and I don't know to which density it will belong: to $U$ density or to $V$ density?  Many thanks! R's lmer cheat sheet There's a lot of discussion going on on this forum about the proper way to specify various hierarchical models using lmer.  I thought it would be great to have all the information in one place. A couple of questions to start:   How to specify multiple levels, where one group is nested within the other: is it (1|group1:group2) or (1+group1|group2)? What's the difference between (~1 + ....) and (1 | ...) and (0 | ...) etc.? How to specify group-level interactions? Beamer, Babel and Tikz conflict How to find regression coefficients $\beta$ in ridge regression? In ridge regression, the objective function to be minimized is: $$\text{RSS}+\lambda \sum\beta_j^2.$$   Can this be optimized using the Lagrange multiplier method? Or is it straight differentiation? Is it still possible to install Ubuntu to an external harddrive with UEFI? It looks like  isn't possible with UEFI, where as with MBR there wasn't a big difference between external and internal. Is that true or is it still possible?  Is it even possible to combine both boot methods? Unloading classes in java? I have a custom class loader so that a desktop application can dynamically start loading classes from an AppServer I need to talk to. We did this since the amount of jars that are required to do this are ridiculous (if we wanted to ship them). We also have version problems if we don't load the classes dynamically at run time from the AppServer library.  Now, I just hit a problem where I need to talk to two different AppServers and found that depending on whose classes I load first I might break badly... Is there any way to force the unloading of the class without actually killing the JVM?  Hope this makes sense