In the Chamber of Secrets movie Ginny was studying in the study area, and Harry found Justin minutes later. How did Ginny have time to petrify Justin? Was another student possessed?
In Harry Potter and the Chamber of Secrets it is revealed that      Ginny is being possessed by Tom Riddle and is the one opening the Chamber of Secrets.   The book seems relatively without holes in this regard.  However in the movie when Harry discovers Justin Flinch-Fletchley we see moments prior to this      Ginny is studying in a room full of people.   This implies that the person opening the chamber of secrets couldn't have been in the chamber when the second attack occurs.  Is this just a goof in the movie or is there an alternate explanation for this?  Is the Basilisk acting on its own in the movie?
How do I make an object face the mouse position, but only on one plane? I am looking for instructions on how to install cedarview graphics drivers on Ubuntu 13.04 32bit.  My graphics hardware is a GMA3600 aka Power VR SGX545.  EDIT: It seems that they are not in Raring yet, but only Precise:   EDIT2: they seem to be closed source. How do I specify a pointer to an overloaded function? LyX - undefined control sequence but package seems to be added I am using LyX with MikTeX and I am trying to use the following command \oiiint but I am getting the following error:   \oiiint  The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined.   I have added \usepackage{mathdesign} to the preamble in:  Document -&gt; Settings -&gt; LaTeX Preamble  Why is this not working? How can I calculate how long it will take to transfer a file over LAN? I want to know about the method with which we can calculate data transfer speed.   If I am sending a 1 GB file through a 1 Gb/s LAN connection, from one computer to another, how much time will it take to transfer that file? No updates since a long time Using Ubuntu, I have a habit of running: sudo apt update sudo apt upgrade   on every startup. But for a month, I guess, there have been no updates whatsoever. The message shows: All packages are up to date  Now I am starting to worry. Can there be a fault in my update manager? As far as I know, I've made no changes to the package manager settings. But no updates for almost a month seems kind of weird. Any feedback would be helpful. Thanks. How do I delete a folder that's in use? Sometimes when I'm working in Windows I'll get this prompt when I try to delete a directory:    Folder In Use The action can't be completed because the folder is open in another program Close the folder and try again.   However, the folder isn't "in use" at all, and I don't have it open. So how can I delete it short of rebooting? Find $\lfloor {\alpha}^6 \rfloor$ If $\alpha$ is a real root of the equation   $$x^5-x^3+x-2=0$$   find the value of $\lfloor {\alpha}^6 \rfloor$.      This one totally stumped me. We are asked to calculate $\lfloor {\alpha}^6 \rfloor$ without actually calculating the root or using wolfram alpha or any other calculator. I found that the above equation has only one real root by sketching its graph using calculus. I was also able to use the intermediate value theorem to conclude that $1&lt;\alpha&lt;2$ , but this is of little use while calculating $\lfloor {\alpha}^6 \rfloor$. Please help! Probably a basic issue, but still something that irks me and I can't find an answer online. I want to change the default folder for saving new shapes/processing outputs from &quot;last used folder&quot; to &quot;project folder&quot; or &quot;something in relation to project folder&quot; - is this possible? If so, how can I achieve this? What is the best Java email address validation method? What are the good email address validation libraries for Java?  Are there any alternatives to ? How to revert a do-release-upgrade? I can update my Ubuntu to the new LTS version. As you can think, its not a highly important server since I run 13.10 (not a LTS version). Anyway - I actually want to upgrade my server, but would like to be able to revert this upgrade.   I would be able to reinstall Ubuntu 13.10 and overwrite it with my backup. But I want to know if there is a more comfortable way to do this. TBH I guess theres no command as undo-release-upgrade but I thought it would be worth to ask for it.  This is my current daily backup script  tar cvpzf $backup_file --exclude=/proc --exclude=/lost+found --exclude=$backup_file --exclude=/mnt --exclude=/sys --exclude=/media --exclude=/tmp / Hosting multiple distinct folders for distinct domains I have a VPS that I've installed a Apache Web Server on. What I want to do is forward my own website domains to that server and host those websites' files inside my Apache Web Server. As far as I understand a DNS server is required to manage which domain is hosted where (IP-wise). But what I want to do is host my websites under the same IP address, the one that my web server has. How can I separate those websites' files inside my web server so I don't have to use http://host/foo for www.foo.com and http://host/bar for www.bar.com? Prove: $f: \mathbb{R} \rightarrow \mathbb{R}$ st for every $x \in \mathbb{R}$ there exists $n$ st $f^{(n)}(x) = 0$, f is a polynomial. If $f: \mathbb{R} \rightarrow \mathbb{R}$ is a smooth function such that for every $x \in \mathbb{R}$ there exists $n$ such that $f^{(n)}(x) = 0$, then f is a polynomial.   I'm kind of lost on this one. I know that I have to use Baire's category theorem somewhere here, but I'm not sure exactly how. Installing Broadcom Wireless Drivers How can I display site logo, name and slogan? how can i show site logo, name and slogan Separately in custom area in my site theme, I now use this code to display theme, buts this code don't allow me to edit each of them Separately.  {{ page.header }} Question regarding the Fibonacci sequence Given the Fibonacci sequence $(F_1, F_2,F_3, ...)$ how do I prove that if $m|n$ then $F_m|F_n$? Can this be proven with mathematical induction? The usual explanation for warm fluids rising past cooler ones is that the warmer fluid has a lower density.  I'm trying to understand what this looks like at a molecular scale.  The density seems to be a large-scale phenomenon, and I don't understand how it can affect whether a particular molecule rises or falls.  Consider a cylinder of fluid that is being heated at the bottom.  The molecules at the bottom have a higher average energy.  How does this result in the tendency of the warmer molecules at the bottom to move upwards past the cooler ones? I am trying to find duplicate accounts in the system and trying to merge them based on our filter criteria using apex. The issue is I am hitting the governor limit of 150 DML statements while doing this.  We will have to put the merge statement inside the loop as we need the parent and child as the parameters in the merge statement. I don't think we can bulkify Merge like other DML statements due to the above reason. I am not sure if there is any better way to do it and avoid hitting governor limits.  Any help in this regard would be greatly appreciated.  Code that I have tried is included below  global class LoyaltyAccountBatch implements Database.batchable&lt;sObject&gt;{        global Database.QueryLocator start(Database.batchableContext info){           String query;         query = ('SELECT  Id FROM  LoginHistory LIMIT 1');          return Database.getQueryLocator(query);    }       global void execute(Database.batchableContext info, List&lt;LoginHistory&gt; scope){             // Get those records based on the IDs         List&lt;Account&gt; templst1 = [SELECT Id,UniqID from account where createddate = LAST_N_DAYS:4 and UniqID &lt;&gt; ''];             system.debug('templist is '+templst1);               Set&lt;String&gt; insertedRecords = new Set&lt;String&gt;() ;         for (Account a : templst1)  {         insertedRecords.add(a.UniqID);     }                 List&lt;Account&gt; templst = [SELECT Id,UniqID from account where NewUniqID IN : insertedRecords                                   order by NewUniqID,UniqID asc];         // Process records          for(integer i=0;i+1&lt;templst.size();i++)          {             if(templst[i].UniqID &lt;  templst[i+1].UniqID)                     {                 system.debug('ids are '+templst[i].UniqID+'--&gt;'+templst[i+1].UniqID);                 String str = '1'+templst[i].UniqID.substring(1,templst[i].UniqID.length());                 String str1 = '1'+templst[i+1].UniqID.substring(1,templst[i+1].UniqID.length());                 system.debug('str is'+str);                 system.debug('str1 is'+str1);                 if(str.equals(str1))                 {                     Merge templst[i+1] templst[i];                     system.debug('value of i is'+i);                 }              }         }        }          global void finish(Database.batchableContext info){         }   } \sum caused \sqrt to not be slanted The equivalence between Cauchy integral and Riemann integral for bounded functions Definitions  Suppose $P\colon a=x_0&lt;x_1&lt;\dotsb&lt;x_n=b$ is a partition of $[a,b]$. Let $\Delta x_k=x_k-x_{k-1}$ and $\lVert P\rVert$ denotes $\max_{0&lt;k\le n}\Delta x_k$.  The Cauchy integral of a function $f$ on closed interval $[a,b]$ equals to $I$ if and only if for each $\epsilon&gt;0$, there's some $\delta&gt;0$, for each partition $P$ of $[a,b]$ such that $\lVert P\rVert&lt;\delta$, we have $\left\lvert\sum_{k=1}^nf(x_k)\Delta x_k-I\right\rvert&lt;\epsilon$.  Problem  If $f$ is bounded on $[a,b]$ whose Cauchy integral equals to $I$, then $f$ is Riemann-integrable and $\int_a^bf=I$.  Background  It's an exercise from our calculus(analysis) problemset book, and there's a hint: consider the partitions whose $x_k-x_{k-1}$ is a constant for different $k$'s, and try to estimate the Riemann sum for each of these partitions through the Cauchy integral.  I have no idea about such estimation. After drawing some pictures, I discouraged. I googled on the Internet and found an . I realized that it's a quite different approach and with some advanced techniques (such as the analysis of a positive measure set -- discontinuities). I hope there will be some simpler approachers, just as the hint says. I need a more detailed hint, or a solution. Can anybody help me? Thanks!