How to create a laser beam in Blender?
Making a Laser in Cycles - Straight Beam of Light?
Is there an Ubuntu theme available to make it look like Windows 7? I want to know is there any theme available make it Ubuntu look like Windows 7 ? What is the name of an anime from 80s-90s movie/series in which there is a scene, maybe the end, where a girl (who has an​ armor) exchanges age with a dying man in a beach, so the man transforms into a baby and the girl grows to a woman? Is there a workaround to make CSS classes with names that start with numbers valid? Spin or rotate an image on hover I'm using Dataloader to Upsert a Child Account to Parent Account using an external ID.  When the Upsert is complete, the Child overwrites the parent, it's not not connecting the Child Account to the Parent Account.  ((See Answer Below)) Solve this integral for free WiFi I saw this today, I checked in Mathematica and the integral comes out to $\pi$, but I have no idea how to solve it.     FREE Wi-Fi: The Wi-Fi password is the first $10$ digits of the answer.   $$\int_{-2}^2\left(x^3\cos\frac x2+\frac12\right)\sqrt{4-x^2}\ dx$$ Object has no method 'live' - jQuery Let $f$ be a continuous function on $[0,1]$ such that $f([0,1])=[0,1]\times[0,1].$ Then show that $f$ is not one-one.  Hints will be appreciated. First and foremost I am sorry for this; in order to make the questions clear I must first upload the lecture notes from my institution $^\zeta$ for the derivation of Hydrostatic Equilibrium:          $^\zeta$ Lecture notes courtesy of Imperial College London, Astrophysics dept, 2017-2018 edition.    Firstly, in equation $(3.1)$ why is there no negative sign for $F_g$? Last time I checked, Newton's law of gravitation told us that   $$F=-\frac{GMm}{r^2}$$  Nextly, I have a conceptual problem with equation $(3.2)$; when they use the term 'pressure' I am going to assume that they are referring to the radiation pressure that is released due to nuclear fusion reactions taking place in the sun. In that formula it must be the case that $P(r) \gt P(r+\delta r)$ if this is the case then $(3.2)$ should read $$F_p=-\left(\frac{dP}{dr}\right)\delta r\,\delta A $$   Correct me if I'm wrong but Hydrogen nuclei are fused together to generate the more stable Helium and hence lots of radiation pressure acting outwards from the centre of the star. If this is correct then $P(r+\delta r)=0$, since the outside face of that cylindrical volume element in Figure $3.1$ will not 'feel' any of this radiation pressure because this pressure only acts on the inner face. What am I not understanding here?  Moving on to equation $(3.3)$, let's suppose the sign of the gravitational force in $(3.1)$ really is neglected. Does this mean that the negative sign in $(3.3)$ is due to $P(r+\delta r) \lt P(r)$ and hence $$\frac{GM(r)\rho(r)}{r^2}=-\left(\frac{dP}{dr}\right)\,?$$ I know this is the same equation as in $(3.3)$ but I have written it with the negative sign next to the pressure differential as I would like to know where this minus sign originates from. Does anyone know?  My final concern is the sign in $(3.4)$ as last time I checked $$g=-\frac{GM}{r^2}$$ and not $$g=\frac{GM}{r^2}$$  Hence, equation $(3.4)$ should read  $$\left(\frac{dP}{dr}\right)=\rho(r)\,g\,?$$     I forgot to mention that I have done some research and  is the closest derivation I could find, which, needless to say is no less helpful than the notes I have. Pairs of numbers with a given LCM CSS - Make divs align horizontally I have a container div with a fixed width and height, with overflow: hidden.  I want a horizontal row of float: left divs within this container. Divs which are floated left will naturally push onto the 'line' below after they read the right bound of their parent. This will happen even if the height of the parent should not allow this. This is how this looks:  ![Wrong][1] - removed image shack image that had been replaced by an advert  How I would like it to look:  ![Right][2] - removed image shack image that had been replaced by an advert  Note: the effect I want can be achieved by using inline elements &amp; white-space: no-wrap (that is how I did it in the image shown). This, however, is no good to me (for reasons too lengthy to explain here), as the child divs need to be floated block level elements. Showing that if a subset of a complete metric space is closed, it is also complete Let $(X, d(x,y))$ be a complete metric space. Prove that if $A\subseteq X$ is a closed set, then $A$ is also complete.  My attempt: I tried to prove that every Cauchy sequence $(b_n)$ of points of $A$ converges to a point $b\in A$. However could not figure out the exit way. Maybe I am on the wrong track. Could you please help me?  edit: More from my attempt:  Suppose $A$ is a closed set and let $(x_n)$ be a sequence of points $A$ such that $\lim_n x_n\to b$.  Suppose now that $A$ has the property that $b\in A$, whenever $x_n$ converges to $b$. We know that every element of $x_n$ which is convergent in $X$ also converges to a point in $A$. Since $x_n$ is a Cauchy sequence in $A$, it must converge to a point $y\in A$. But the limit of a convergent sequence is unique.   Take $x\in A$ and select an appropriate $n$, which enables $x_n$ to converge to a point $x$ in $X$. Since the limit is unique, it must follow that $x=y$. Thus $x\in A$ and $A$ is closed.   If $A$ is a closed subset of $X$, then any Cauchy sequence of a point in $A$ is convergent in $X$ and hence converges to a point in $A$. Thus $A$ is complete. Removing lines from text file that contain string at beginning and string at end - and keep one It took me a while to word this best.  Problem 1:  Is there a way to find lines in a text file that have the same string at the beginning and the same strings at the end?   Beginning and end strings not necessarily equal to each other.  Text between the two strings is not consistant in number of characters or number of hyphens.  A hyphen is in between notable strings (which I added to my large text file).  For example:  File:    AAAAA-tjhut-ghyut-FILE1.txt   BBB-fhuj-dnbhg-frt76-FILE2.txt   AAAAA-ghtujukr-hgute7gr-xhyutt-FILE1.txt   AAAAA-VGYT-4d7tt-xhyutt-FILE1.txt   CCCC-fjuk-dryy-fhuj-FILE3.txt   Lines to detect:    AAAAA-tjhut-ghyut-FILE1.txt   AAAAA-ghtujukr-hgute7gr-xhyutt-FILE1.txt   AAAAA-VGYT-4d7tt-xhyutt-FILE1.txt   Problem 2:  Is there a way to remove all but one of the lines containing the duplicate strings at the beginning and end from above?  Before:    AAAAA-tjhut-ghyut-FILE1.txt   AAAAA-ghtujukr-hgute7gr-xhyutt-FILE1.txt   AAAAA-VGYT-4d7tt-xhyutt-FILE1.txt   After:    AAAAA-tjhut-ghyut-FILE1.txt   Big thanks for any advice.  Note: I think using the occurances of the first hyphen and last hyphen can be used to locate the duplicate strings. Nested Mathematical Functions This question has bugged me for a while. I want to write a nested function, f(g(x)). If I naively enter it:  \begin{align}     f(g(x))=y \end{align}     The problem is that each and every parenthesis is the same size as all of the others. Shouldn't the outer parentheses be larger? But if I do this:  \begin{align}     f\left(g(x)\right)=y \end{align}     Now it looks even less like the functions are nested. What's the proper way to do this? setuid root does not work Objective : Run a program as root (C++ binary). The same as :   And :   ./a.out output:  E: Could not open lock file /var/lib/dpkg/lock - open (13: Permission denied) E: Unable to lock the administration directory (/var/lib/dpkg/), are you root? psurana  //output for "whoami" Look below for the code.   ls -l output:  -rwsrwxr-x 1 root    root    46136 Jun  7 20:13 a.out  The Code :   #include &lt;string&gt; #include &lt;stdlib.h&gt; int main(int argc, char *argv[]){         std::string input = "apt-get install " + std::string(argv[1]);         system(input.c_str());         system("whoami");         return 0; }   Details: : compiled the program and then did chown root:root a.out &amp;&amp; chmod u+s a.out. Please look above for ls -l output.  I still do not get the root privileges and the output for system("whoami") in the code is my own username on the machine.  Reading the two linked questions did not yield me anywhere. :(. both the creator and the owner of the file are root. The setuid bit is set, so it should work. The filesystem is not external either, it is my own machine. How can I make this work? Is $\int_a^b f(x) dx = \int_{f(a)}^{f(b)} f^{-1}(x) dx$? avoid space after commas used as thousands separator in math mode Unresolved external symbol on static class members Very simply put:  I have a class that consists mostly of static public members, so I can group similar functions together that still have to be called from other classes/functions.  Anyway, I have defined two static unsigned char variables in my class public scope, when I try to modify these values in the same class' constructor, I am getting an "unresolved external symbol" error at compilation.  class test  { public:     static unsigned char X;     static unsigned char Y;      ...      test(); };  test::test()  {     X = 1;     Y = 2; }   I'm new to C++ so go easy on me. Why can't I do this? How can I get a significant overall ANOVA but no significant pairwise differences with Tukey's procedure? Why is Main method private?