Can my 15 year old son travel back alone to home country (India) from the UK?
Can a child enter the UK on an accompanied visa and then leave the country alone?
why ls reports a huge file and du does not? What does the underscores in _servicename_ mean in AngularJS tests? Windows 8 opens notepad on boot- no startup entry found I just upgraded from windows 7 to windows 8 and everything is working fine except notepad keeps opening on boot with a "access denied" window that comes up as well. I've ran MBAM and removed some junk, I've disabled every "file not found" item in autoruns as well as something that had a text/xml title in it and I've ran CCleaner a few times. Nothing is working, any help is much appreciated! How to debug JavaScript / jQuery event bindings with Firebug or similar tools? I am getting several new computers for my office.  I want to install Microsoft Office and my proprietary software and all updates on a single PC and create a system image that will be copied to every other PC.  How do I deal with Windows/Office product keys to prevent licence violations?  Am I able to do this from the System Image tool in Windows 7?  Note:  The PCs will very likely not be joined to my domain at this point if that makes a difference. Positivity of a determinant I'm stuck to prove the following exercise : Given real numbers $x_1,\ldots,x_n$ and $y_1,\ldots,y_n$, show that  $$ \det(e^{\large{x_iy_j}})_{i,j=1}^n&gt;0 $$ provided that $x_1&lt;\cdots&lt;x_n$ and $y_1&lt;\cdots&lt;y_n$.   Any idea ? First time using bevel tool, doesn't bevel evenly. What am i doing wrong? What are the options for traveling to the airports in Paris? Proof of Dobinski's formula for Bell numbers What exactly can a financial advisor do for me, and is it worth the money? I've been managing my own expenses pretty meticulously for the past 4-5 years since being out of college and on my own. Because of this, I feel I have more of a clue about finances than the average 28-year-old.  I use  to manage pretty much all of my accounts, though I realize this is just a quick and easy personal finance solution. Plus, there's no personally customized advice on how I invest or set up my monthly budget.  These are the reasons I think I may want to find a good financial advisor. However, I don't know what I don't know. That is, there could be a long list of things I should be doing with my money to plan for retirement or just for general financial wellbeing.  Are these the functions of a financial advisor? What can I expect if I sit down to meet with one? Most importantly, how much would I be paying for this advice and is it worth it? Can someone explain how Kat experienced this part of Tenet from her perspective? Find the ratio of $\frac{\int_{0}^{1} \left(1-x^{50}\right)^{100} dx}{\int_{0}^{1} \left(1-x^{50}\right)^{101} dx}$ $$I_1=\int_{0}^{1} \left(1-x^{50}\right)^{100} dx$$ and $$I_2=\int_{0}^{1} \left(1-x^{50}\right)^{101} dx$$ Then find $\frac{I_1}{I_2}$  I tried by subtracting $I_1$ and $I_2$   $$I_1-I_2=\int_{0}^{1}\left(1-x^{50}\right)^{100}\left(1-(1-x^{50}\right))dx$$ so  $$I_1-I_2=\int_{0}^{1} \left(1-x^{50}\right)^{100} x^{50} dx$$ Now using Integration by Parts we get  $$I_1-I_2= \left(1-x^{50}\right)^{100} \times \frac{x^{51}}{51}\bigg|_{0}^{1} -\int_{0}^{1} 100 \left(1-x^{50}\right)^{99} \times -50 x^{49} \times \frac{x^{51}}{51} dx$$  So $$I_1-I_2=\frac{5050}{51} \times \int_{0}^{1}\left(1-x^{50}\right)^{99} x^{100} dx$$  Now $x^{100}=\left(1-x^{50}\right)^2-(1-x^{50}-x^{50})$ so  $$\frac{51}{5050}(I_1-I_2)=\int_{0}^{1} \left(1-x^{50}\right)^{99} \times \left(\left(1-x^{50}\right)^2-(1-x^{50})+x^{50}\right)dx=I_2-I_1+\int_{0}^{1} \left(1-x^{50}\right)^{99} x^{50} dx$$  Need a hint to proceed further. How do I make environment variable changes stick in Python? From what I've read, any changes to the environment variables in a Python instance are only available within that instance, and disappear once the instance is closed.  Is there any way to make them stick by committing them to the system?  The reason I need to do this is because at the studio where I work, tools like Maya rely heavily on environment variables to configure paths across multiple platforms.  My test code is  import os os.environ['FAKE'] = 'C:\\'   Opening another instance of Python and requesting os.environ['FAKE'] yields a KeyError.  NOTE: Portability will be an issue, but the small API I'm writing will be able to check OS version and trigger different commands if necessary.  That said, I've gone the route of using the Windows registry technique and will simply write alternative methods that will call shell scripts on other platforms as they become requirements. Finding the uniquely determined region of a PDE (a) Solve the equation $yu_x+xu_y=0$  with the condition $u(0,y) = e^{-y^2}$. (b) In which region of the xy plane is the solution uniquely determined?     I did the first part but I don't understand how to do part b.  I read   But I don't understand how the argument is based. A more clear explanation is appreciated How to prove $a^3 + b^3 +c^3 - 3abc =1 $, If a,b,c are infinite series as given in the description box below? How do I prove that $$ a^3+b^3+c^3−3abc = 1 $$ if   $ a = 1+\frac{x^3}{3!}+\frac{x^6}{6!}......$ , $b=x+\frac{x^4}{4!}+\frac{x^7}{7!}....$ , $c=\frac{x^2}{2!}+\frac{x^5}{5!}+\frac{x^8}{8!}......$ ?  I have tried the following :-  I discovered that $a+b+c=e^x$ and that $a=\frac{d(b)}{dx}$, $b=\frac{d(c)}{dx}$, $c=\frac{d(a)}{dx}$ . But I am unable to proceed further with these information. nth fibonacci number in sublinear time What is "anycast" and how is it helpful? I'd never heard of anycast until a few seconds ago when I read "".  The wikipedia "" article on it is quite formal and doesn't really evoke a mental picture of how it would be used.  Can someone explain in a few informal sentences what "anycast" is, how you configure it (just in a general sense), and what its benefits are (what does it make easier)? TV documentaries invariably show the Big Bang as an exploding ball of fire expanding outwards. Did the Big Bang really explode outwards from a point like this? If not, what did happen? Chain-calling parent initialisers in python Why should I declare a virtual destructor for an abstract class in C++? I know it is a good practice to declare virtual destructors for base classes in C++, but is it always important to declare virtual destructors even for abstract classes that function as interfaces? Please provide some reasons and examples why.