Why was Severus Snape placed in Slytherin?
Why Was Peter Pettigrew Sorted To Gryffindor?
Are human bodies programmed to die? Parallel universes: are there an infinite amount of universes? Parallel universe: in every universe, you are presented with a different decision. Does that mean there are an infinite amount of parallel universes? I.e., if in one universe I choose to go left, I am then presented with different choices vs if i choose right, and that creates more universes with more decisions to be made.  Or does it mean that in the end of one's life we end up in the same place, meaning that its just one parallel universe that eventually collides with the other. tar: Removing leading `/' from member names root@server # tar fcz bkup.tar.gz /home/foo/ tar: Removing leading `/' from member names   How can I solve this problem and keep the / on file names ? Isn't $HOME supposed to be the location of the user's home directory? I'm having trouble with a web application I'm writing: The web application, which runs as user nobody, needs to launch an inkscape process to manipulate some SVG files. Because this runs as user nobody, there is no home directory. What I am doing is creating a temporary directory under /tmp and trying to set that as the home directory via export HOME=/tmp/someUniqueId. I then set a few things in that "temporary" home directory, like a symlink .fonts to the folder for the font files to use.  I know this works for finding the ~/.fonts directory. But when I launch Inkscape, all I get is a message that Inkscape could not create the .inkscape directory:    Doesn't $HOME set the location of my home directory? Why is Inkscape still trying to access / as my home directory? Why GCP Kubernetes Node host location for europe-north1 seems to be in US? I am new to both Google Cloud Platform and K8s. I have launched Kubernetes cluster in GCP and chosen europe-north1 as the region (europe-north1-a as the zone).   When I try to run my application on this cluster it fails because it expects the application to run in EU region. I added IP and Geo check (using GeoLite database () and AWS IP check tool ()) into my application and they tell me that the host is located in US.  Have I perhaps missed some GCP/K8s configuration option or is this because the europe-north1 region is still quite new and the IP addresses do not correctly show that they are located in EU? In which case I should direct this question to Google? Consider the following 2-variable function:     $$f(x,y) = \frac{x^2y}{x^4+y^2}$$   I would like to find the limit of this function as $(x,y) \rightarrow (0,0)$.   I used polar coordinates instead of solving explicitly in $\mathbb R^2 $, and it went as the following:  $$ x = r \cos \theta, \qquad y = r\sin\theta $$   Hence,  $$\lim_{(x,y) \to (0,0)} \frac{x^2y}{x^4 + y^2} = \lim_{r \to 0}\frac{r^2\cos^2\theta(r\sin\theta)}{r^4\cos^4\theta + r^2\sin^2\theta}$$  This simplifies to,  $$ \lim_{r \to 0} \frac{r^3 \cos^2\theta\sin\theta}{r^2(r^2\cos^4\theta + \sin^2\theta)}$$  Simplifying $r^3/r^2$, we finally get;  $$\lim_{r \to 0} \frac{r (\cos^2\theta\sin\theta)}{r^2\cos^4\theta + \sin^2\theta}$$  Now from the above, we find that as $r \to 0$ the limit is $0$.   I wanted to verify this answer so I checked on Wolfram Alpha. Explicitly without changing to polar coordinates, it said that the limit does not exist at $(0,0)$ and rightly so. Then how is it that with polar coordinates, the limit exists and is $0$? Am I doing something wrong in this method?  Also, what should I do in this situation, and when should I NOT use polar coordinates to find limits of multi-variable functions? Prove that the derivative of an even differentiable function is odd, and the derivative of an odd is even. How to jusify {e,n} is a valid RSA public key? How do I install a .deb file via the command line? Get lists of dependent picklist options in Apex I tried to reproduce the results from the  unfortunately the video link is broken. And I might have overlooked some related settings.  The spot light is barley visible on the ground.    Increasing the Density of the Volume Scatter Node darkens the sky texture but leads to some light cone from the car's headlight. (only 10 samples in preview).    Which settings do I need to change or should I try a different approach?  Integrator settings are default and spotlight settings were copied from the example found in the docs.  Related:    (pre 2.7)  (BI only) Is it correct to use the word "birthday" for the deceased, or is there a better alternative? How does one refer to the birthdate of someone who is no more, we usually say  Today is my uncle's 80th birth anniversary (Common in Indian English, not sure if it's correct)  or  Today would have been my uncle's 80th birthday   Is it right to say  "Today is my uncle's 80th birthday" for an uncle who is dead? Is the set of all finite sequences of letters of Latin alphabet countable/uncountable? How to prove either? I have an Object[] array, and I am trying to find the ones that are primitives. I've tried to use Class.isPrimitive(), but it seems I'm doing something wrong:  int i = 3; Object o = i;  System.out.println(o.getClass().getName() + ", " +                    o.getClass().isPrimitive());   prints java.lang.Integer, false.  Is there a right way or some alternative? Examples and further results about the order of the product of two elements in a group I have some difficulties with a task in algebra. I guess it's trivial and really easy but I can't figure out how to solve it.  I have a set $G$ and a binary operation on it, let it be $\circ$. I have that the operation is associative and that the equations $a\circ x = b$ and $x\circ a = b$ have unique solutions. I have to prove that $(G, \circ)$ is a group.  I already have that the operation is binary and associative, so I have to prove that there is unique identity element and unique inverse element and it will come from the equations, but how exactly? Why can my keyboard only digest 6 keypresses at a time? When I slam my hand onto my keyboard, only a maximum of 6 keys will be registered, I've tested this for the past few minutes and was unable to get more than 6. Is this the same on all keyboards? If not, what would be the distinguishing factor, If yes: why 6 specifically?  For clarification: I do not have a usecase for this, I am simply curious I can't seem to find an answer to this simple question, which I need for some compliance documentation.    On a default install of CentOS 6.5 (OpenSSH 5.3p1-94.el6), after how long of being idle will a user's SSH session be terminated?  I believe the following can be set to increase the idle timeout, but they are commented out by default.  $ grep -i alive /etc/ssh/sshd_config #TCPKeepAlive yes #ClientAliveInterval 0 #ClientAliveCountMax 3   Also, is there a command to dump a list of the current sshd settings?  I don't see anything in man sshd. Approximating $\arctan x$ for large $|x|$ I would like to know if there is reasonably fast converging method for computing large arguments of arctan.  Until now I've came across Taylor series that converges only on interval $(-1,1)$ and for increasing $|x|$ the rate decreases. Also I've found about continued fractions for arctan, which seems to converge more rapidly and can be used for any real number, but again with increasing $|x|$ I need to perform way too much iterations until I get at least 3 digits precision.  I'm therefore looking for a method that would allow me to compute arctan for large arguments with good precision and in reasonable amount of iterations. Could you help me to point out the differences in the following sentences. for me both sentences imply same meaning.      The Restaurant , offers a broad range of locally caught fresh seafood,   prime steak and meat dishes      The Restaurant , offers a wide range of locally caught fresh seafood,   prime steak and meat dishes