At the time of Harry Potter and the Chamber of Secrets we have 2 conscious and functioning Horcruxes - young Tom Riddle from the Diary and the "main piece" hiding somewhere in Albania.   Young Tom Riddle reveals that he is not aware of the future - it's Ginny who told him that Voldemort was defeated when trying to kill Harry.     “Well, you see, Ginny told me all about you, Harry,” said Riddle. “Your whole fascinating history.“ His eyes roved over the lightning scar on Harry’s forehead, and their expression grew hungrier. “I knew I must find out more about you, talk to you, meet you if I could. So I decided to show you my famous capture of that great oaf, Hagrid, to gain your trust—”      [...]      “Haven’t I already told you,” said Riddle quietly, “that killing Mudbloods doesn’t matter to me anymore? For many months now, my new target has been—you.”      [...]      “So I made Ginny write her own farewell on the wall and come down here to wait. She struggled and cried and became very boring. But there isn’t much life left in her… She put too much into the diary, into me. Enough to let me leave its pages at last… I have been waiting for you to appear since we arrived here. I knew you’d come. I have many questions for you, Harry Potter.”      “Like what?” Harry spat, fists still clenched.      “Well,” said Riddle, smiling pleasantly, “how is it that you a skinny boy with no extraordinary magical talent—managed to defeat the greatest wizard of all time? How did you escape with nothing but a scar, while Lord Voldemort’s powers were destroyed?” There was an odd red gleam in his hungry eyes now.      — Harry Potter and the Chamber of Secrets, chapter 17, The Heir of Slytherin   It is quite clear, that the Diary only has a memory of 16 years old Tom Riddle.  If he were to win that fight and consume Ginny, what would happen with his memory? What would be his memory state at the moment?   addresses whether there would be 2 Voldemorts and how would they interact. For the sake of this question, I set that aside and actually ask in what state exactly will Voldemort's memory be and why. I see three possible outcomes:   The memory of Tom Riddle from the diary will merge with the original Voldemort's memory (though I'm not sure in this one since Voldemort doesn't seem to have any connection to his Horcruxes as he doesn't even notice them being destroyed) Riddle's 16 y.o. identity will dominate and be more or less single source of memory since that is Horcrux's condition vice versa original Voldemort's identity will prevail since he's the original one and have higher ground on this. He can't die while there's at least a single Horcrux, while Horcruxes can be destroyed, which places his original part higher.
As teenager Tom Riddle is speaking to Harry Potter in the Chamber of Secrets, both he and Harry are refering to the real Voldemort in the third person. If Tom Riddle had succeeded in sucking all the life energy out of Ginny and had come back alive, wouldn't that have meant there were two Voldemorts in the world? The wraith one which had lived in Quirrell, and the newly constituted one?  This Tom Riddle clearly doesn't have the memories of the wraith version.   As a bonus: If they both existed, would they have competed against each other?
I have a map of a city and a .csv-file containing 700 geographic coordinates pointing to locations within that city.  How can I plot these 700 locations on the map? Gravitational waves and time Two questions.  It is said that time can only go slower in gravity fields and if you move faster.  I have heard that when a gravitational wave pass earth then the space/time vibrate and time change for an instance.  But a wave is often with a top and a valley.  They have now atomic clocks that might be able to detect time variations, placed in satellites around the sun and "quantum entangled". "Using Atomic Clocks to Detect Gravitational Waves"   So what if we could compare time ticks between clocks in space at "absolute frame of reference" where time has its maximum universal speed as time in deep space between Galaxy Filaments.  Will we only detect that time ticks slower for an instance when the gravational wave pass?  1. Or will we detect that time tick slower AND faster than normal time also, as compared to zero gravity time and no movement time in "absolute frame of reference"?  2. Can time go let's say 10 times faster by theory/mathematics, by a extreme theoretical gravitational wave, than time in "absolute frame of reference time"? In film reviews/essays about a book or film, does the title of the movie/book always have to be highlighted/put in italics? Say for a game with irregular hotspots (say Risk, or a strategy game like Paradox's Hearts of Iron or Crusader Kings), how do you   Define a non-rectangular hotspot of irregular shape (much like a territory on a map?), in code? What tool can you use to trace out the hotspot and import into your game? What is the algorithm for detecting if someone has clicked within such a hotspot? Good 1st PDE book for self study Referencing bib files with spaces in the filename I am using a Mac with TeX Live and Mendeley for automatically generating .bib files, some of which have spaces in the file names. I would like to know how to reference such files from LaTeX as using "" or \ doesn't seem to work. Show/Hide CSS Ignored When Inside an SLDS Grid Column Showing that $|N \cap Z(G)| > 1$ for normal subgroups of p-groups I have a finite $p$-group $G$ and a normal subgroup $N$ which is not the trivial subgroup. I am asked to show that $|N \cap Z(G)| &gt; 1$.  There has been a similar question on MSE here:  Unfortunately, I cannot comment on other user's questions yet, so I made my own question.  I know that the trick is to use conjugation but I can't follow the logic. Can someone elaborate? Especially on the last part of the top answer. In QGIS (1.8.0-Lisboa) on Windows (OSGeo4W Install), how would you resize a feature proportionally?  The only way I've found to do this is by hand using either the Freehand Editing (0.2.6) plugin or the Reshape Features button. Neither of these provides a means to uniformly scale (as in resize) the selected feature up or down.  For example, I want to increase the features size by 130% so that you retain the shape of the feature but expand the area of the shape itself proportionally in all directions. proof that translation of a function converges to function in $L^1$ Let $f \in L^1(\mathbb{R})$, for $a\in \mathbb{R}$ let $f_a(x)=f(x-a)$, prove that: $$\lim_{a\rightarrow 0}\|f_a -f \|_1=0$$  I know that there exists $g\in C(\mathbb{R})$ s.t $\|f-g\|_1 \leq \epsilon$, this is also true for $f_a$ and $g_a$.  Now I have the next estimation:  \begin{align*} \|f_a-f\|_1 &amp;= \int_{\mathbb{R}} |f(x)-f(x-a)| dx \\ &amp;= \int |f(x)-g(x)+g(x)-g(x-a)+g(x-a)-f(x-a)| \\ &amp;\leq \|f-g\|_1 + \|f_a-g_a\|_1 + \int |g(x)-g(x-a)| \end{align*} my question is: I can argue that $\lim_{a\to0} \int |g(x)-g(x-a)| = \lim_{a\to0} \lim_{T\to\infty} |g(x_0)-g(x_0-a)| 2T$, now I think that I can change the order of the limits here, but I am not sure why?  P.s $x_0$ is some point in $[-T,T]$, and the above is valid from the intermediate integral theorem for continuous functions, right?  Thanks. Any good resources for Lagrangian and Hamiltonian Dynamics? I'm taking a course on  and  Dynamics, and I would like to find a good book/resource with lots of practice questions and answers on either or both topics.  So far at my university library, I have found many books on both subjects, but not ones with good practice questions and answers. I have Schuam's outline of Lagrangian Dynamics, but didn't really find a lot of practice questions.  Any suggestions would be greatly appreciated! I have browsed several ASIC manufacturer's webs, but I haven't found an actual number. I assume there would be a fixed cost associated with creating masks and such and then there will be a cost per unit.     Note: that I don't actually want to have an ASIC made, I'm just curious. Proof involving absolute value and maximums Given the definition for any real numbers a and b, the max function is   $\max\{a, b\} =  \begin{cases}                                    a \text{ if } a \geq b \\                                    b \text{ if } a &lt; b \\   \end{cases} $  Lemma: for any two real numbers $a\text{ and }b, a \leq \max\{a,b\}$ and $ b \leq \max\{a,b\}$.  Prove that for real numbers, $a, b$, and $x$, if a $\leq x \leq$ b then $|x| \leq \max\{|a|,|b|\}$.  So far, I have  $x \geq 0$ or $x &lt; 0$ by the law of trichotomy  Case 1: $x\geq 0$  $|x| = x$ by the definition of absolute value  and I'm not sure where to go from there. Any hints? I see the following error while trying run the command shown below. I read somewhere that my /boot partition is low on disk space. How can I increase the size of the /boot partition so I can install more software? I have a 500GB hard disk, so there is enough space to play with.  sudo apt-get install libdvdread4  gzip: stdout: No space left on device                                                                                                                                                                                  E: mkinitramfs failure cpio 141 gzip 1                                                                                                                                                                                 update-initramfs: failed for /boot/initrd.img-3.2.0-33-generic with 1.                                                                                                                                                 run-parts: /etc/kernel/postinst.d/initramfs-tools exited with return code 1                                                                                                                                            Failed to process /etc/kernel/postinst.d at /var/lib/dpkg/info/linux-image-3.2.0-33-generic.postinst line 1010.                                                                                                        dpkg: error processing linux-image-3.2.0-33-generic (--configure):                                                                                                                                                      subprocess installed post-installation script returned error exit status 2                                                                                                                                            dpkg: dependency problems prevent configuration of linux-image-server:                                                                                                                                                 linux-image-server depends on linux-image-3.2.0-33-generic; however:                                                                                                                                                    Package linux-image-3.2.0-33-generic is not configured yet.    dpkg: error processing linux-image-server (--configure):     dependency problems - leaving unconfigured    dpkg: dependency problems prevent configuration of linux-server:     linux-server depends on linux-image-server (= 3.2.0.33.36); however:      Package linux-image-server is not configured yet.    dpkg: error processing linux-server (--configure):     dependency problems - leaving unconfigured    No apport report written because the error message indicates its a followup error from a   previous failure.                                                                                                           No apport report written because the error message indicates its a followup error from a previous failure.  Errors were encountered while processing:  linux-image-3.2.0-33-generic  linux-image-server  linux-server N: Ignoring file 'michael-gruz-canon-precise.list.1' in directory '/etc/apt/sources.list.d/' as it has an invalid filename extension N: Ignoring file 'michael-gruz-canon-precise.list.1' in directory '/etc/apt/sources.list.d/' as it has an invalid filename extension   Listed below is the output of du  Filesystem              1K-blocks      Used Available Use% Mounted on /dev/mapper/ubuntu-root 712660664 104095912 572363692  16% / udev                      3964792         4   3964788   1% /dev tmpfs                     1591012      1064   1589948   1% /run none                         5120         0      5120   0% /run/lock none                      3977528       684   3976844   1% /run/shm /dev/sda1                  233191    219821       929 100% /boot Was "book" to "beek" as "foot" is to "feet"? "Foot" is a curious word in English because it is pluralized in an unusual way; the "oo" in the word is changed to "ee".  Did this once use to be a standard way of pluralizing things in English (or a language that contributed to English), which would mean that the plural of "book" was "beek" instead of "books"?  Or, is "feet" just a one-off? Sum of reciprocals of numbers with certain terms omitted Why is the result of a raster calculation integer when it should be decimal? I'm trying to calculate the NDVI using raster calculator, but the result is integer instead of decimal.  NDVI = (NIR - RED)/(NIR + RED)   The result is normally in the range -1 to 1, but when i tried to calculate de result is -1, 0 and 1, and it does not have have any number in between like, -0.9 or 0.1. And i need those values so i can classify the result in term of soil occupation When using divs when is it best to use a class vs id?   Is it best to use class, on say font variant or elements within the html? Then use id for the structure/containers?   This is something I've always been a little uncertain on, any help would  be great. Supremum of a Continuous Function is Continuous A  is river or stream that flows into a larger river.  A  a stream branching off a river.    Is there a word that combines both structures, the idea of a river that splits in two and later rejoins to become one river again?           /---------------\ ---------                 --------------------          \---------------/   My focus here is on the waterway, not the land. I’m looking for a word describing the behavior of the river splitting and later rejoining, without regard for the geography, and without regard for the cause or effect between land and water.