Obviously if one gets an E on the required N.E.W.T.S. then you'll go to Mungo's to train, but how long does it take to get to become a healer?
What training do doctors/Healers receive above their school education?   A fresh Hogwarts graduate does not seem to have all the skills required to be a Healer, so s/he would need to be learning those skills somehow/someplace. So how/where do they get those skills?  Also, there is one instance of a doctor being praised for inventing a healing spell. Is there any research system, like funding, trials etc or any other source of innovation?
Sci-fi film about terraforming Venus, inadvertently killing the native worm-like Venusians I have been searching for the name of a short sci-fi film for decades.  The story is about a team of scientists who figured out a way to terraform Venus by sending algae plants there in a rocket which changes the atmosphere so that humans can live there.  At the end, it works, but the first people that arrive on Venus discover that the algae has killed the native Venusians, a race of worm-like creatures.  The final shot (as I remember it) is of an astronaut finding a half-sphere with writing on it, and he says “it wasn't much, but it showed that they were intelligent…”  I saw it on TV in probably the late seventies or early eighties, possible as an HBO short take that they would show to fill time in between movies.  Does this sound familiar to anyone? Photoshop "Export > Export As" or "Export > Save For Web" in size 600px + auto suffix in filename The default is that clicking on the folder in the unity dock opens the home directory.   Since there are shortcuts for all the sub-folders of the home directory in the sidebar already, I'd prefer the default directory to move to a different location (~/Documents).  How can I achieve this? Lost/Deleted dpkg (package manager for Debian). How do I get it back? If I write the following class:  public class Example {        int j;       int k;        public Example(int j, int k) {            j = j;            k = k;       }        public static void main(String[] args) {            Example exm = new Example(1,2);            System.out.println(exm.j);            System.out.println(exm.k);       }  }   The program compiles, but when I run the program, the main method will print out two 0s. I know that in order to say that I want to initialize the instance variables in the constructor I have to write:  this.j = j; this.k = k;   But if I don't write it, then which variable is evaluated (or considered) in the constructor (on the left and on the write hand side of the expressions)? Is is the argument or the instance variable? Does it make a difference?  Are there other cases where the use of this is obligatory? Proof a set cannot contain its own powerset - Russell's Paradox Using naive set theory and not using the cardinal number of a power set, how can you prove a set cannot contain its own power set? Is this connected to Russell's Paradox? On Debian systems (and derivatives):  $ dpkg --search /bin/ls coreutils: /bin/ls   That is, the file /bin/ls belongs to the Debian package named coreutils.  But this only works if the package is installed. What if it's not? Classification of groups of order 12 I have a lot of difficulty understanding this proof we went over in class about classification of groups of order 12.  Let $G$ be a finite group of order $n=p^rm$ where $m \nshortmid p$.  Denote $Syl_p(G)$ as the set of all sylow p-subgroups, and $n_p(G)$ as the cardinality of $Syl_p(G)$.  (1) G has subgroups of order $p^r$. (How do we know this??)  (2) We know all sylow p-groups are conjugate and their number $n_p(G) | m$, by the 2nd and 3rd Sylow Theorems.  (3) We have that $n_p(G) \equiv 1(p). $  Then $n=12=2^2*3^1$ so $n_2(G)|3$ gives $n_2(G) \in \{1,3\}$ and $n_3(G)|4$ so $n_3(G) \in \{1,4\}$ since $2 \not\equiv 1(3)$.  Case 1: $n_3(G) = 4.$ Then the action of G by conjugation on $Syl_3(G)$ gives a homomorphism $f: G \rightarrow S_{Syl_3(G)} \simeq S_4$. $Ker(f)$ consists of $g \in G$ that normalizes all 3-Sylow subgroups. (Why?). Let $P_3$ be a 3-Sylow subgroup. Then the order of $P_3$ is 3. (I don't get that either), and $[G:N_G(P_3)] = 4.$ Thus $P_3 \subset N_G(P_3)$ gives $P_3 = N_G(P_3)$. (I'm lost here...) So $Ker(f) = \cap Syl_3(G) = \{e\}$ (the intersection of the sylow 3-subgroups is trivial. (How did we arrive here...) Thus we conclude that $G$ is isomorphic to a subgroup of $S_4$ of order 12.  To show $G$ is isomorphic to $A_4$, we have that $G$ has 8 elements of order 3: 4 3-sylow subgroups each has 3-1=2 elements of order 3. And $S_4$ has 8 3-cycles meaning f(G) contains all 3-cycles and hence the group they generate, which is $A_4$, so $A_4 \subset f(G)$. But since $|A_4| = 12 = |f(G)$ then $f(G) = A_4$ and $G \simeq A_4$. (Not understanding the first half of the proof, I do not get this part either).  Case 2: $n_3(G) = 1.$ The scope of the question is too large, I will need to post separately to understand the second half, unless the organizational rules of math.stackexchange would require that I post here. In that case, I'll edit the question.  I basically cannot follow the proof because it seems to skip too many steps; it would be helpful if anyone could elaborate case 1 with more reasoning so that I can follow it. Any help would be appreciated; I've spent hours trying to look up and decipher the proof but without any success. Inverting Polygons using QGIS? I have a Shapefile with Polygon features  representing the world's land areas (continents, islands).   Is it possible to invert these, and get a geometry that represents the world's oceans and seas?   So the original land Polygons need to become rings in a single global Polygon that covers the planet.  Basically, I'm looking for something like Select > Inverse in Photoshop.   I am using QGIS. Turning water pump on/off using Arduino Uno R3 I'm trying to build a simple system to turn a water pump every 24 hours for 10-20 seconds. I have 5V pump. When I connect it to 5V, GND it works but when I connect it to pin 12 (or any other digital pin) and GND it does not work. Here's my sample sketch:  int led = 12;  void setup() {                   Serial.begin(9600);   pinMode(led, OUTPUT);      }  void loop() {   digitalWrite(led, HIGH); }   What am I doing wrong? Colored borders around windows after update After some gorgeous updates I witness this: Combine two columns into a list of all possible combinations of entries I have two columns such as:  a   1  b   2  c    and I need to combine them like:  a   1 a   2 b   1 b   2 c   1 c   2   Is it possible with a formula? What is the secondary CPU Usage Graph line in the Windows 10 Task Manager I was looking at the task manager in Windows 10 and for the first time noticed a secondary dashed line below the solid? What does this line indicate? Number of connected components of the complement of a compact Let $X$ be a connected, locally compact space and let $K$ be a compact subset of $X$. Is the number of connected components of the complement $X\setminus K$ finite? If it is not, are there some hypotheses over $X$ for finiteness of connected components? How do I spamtrap with Postfix? How do I setup spamtraps with Postfix so clients that send to trapped addresses are prevented from sending me more spam? Why the interior of $\mathbb{Q}$ in $\mathbb{R}$ is empty? [Salutations]  (check one)  [ ] Well trained professional, [ ] Casual reader, [ ] Hapless wanderer,   I have a (check all that apply)  [ ] query [ ] stored procedure [ ] database thing maybe     that was running fine (if applicable)   [ ] yesterday [ ] in recent memory [ ] at some point    but is suddenly slower now.  I've already checked to make sure it's not being blocked, and that it's not the victim of some long running maintenance task, report, or other out of band process.  What is the problem, what should I do, and what information can I provide to get some help?  [*Insert appropriate closing remarks*] Why isn't smoke flowing with the shape of the domain? I created this Smoke domain.    Then When I added smoke, it didn't stay within the domain, it went through the hole. Timeout on a function call I'm calling a function in Python which I know may stall and force me to restart the script.   How do I call the function or what do I wrap it in so that if it takes longer than 5 seconds the script cancels it and does something else? What's the "Bad magic number" ImportError in python, and how do I fix it?  The only thing I can find online suggests this is caused by compiling a .py -> .pyc file and then trying to use it with the wrong version of python. In my case, however, the file seems to import fine some times but not others, and I'm not sure why.  The information python's providing in the traceback isn't particularly helpful (which is why I was asking here...), but here it is in case it helps:  Traceback (most recent call last):   File "run.py", line 7, in &lt;module&gt;     from Normalization import Normalizer