I'm a Pakistani citizen and a doctor. I applied a visa for plab and got refused in May 2016. Reasons were as follows,         You stated that you are attending a plab 2 exam on 5th july 2016. However, you are planning to stay for 30 days. You state the reason for this is to prepare under proper guidance from friends of similar field. I'm not satisfied that you accurately presented your intentions.   You state that you are a doctor with an income of 31020PKR per month and provided a employment letter to demonstrate this. The letter from your employer does not show that they are aware of your trip and duration. This undermines the credibility of your application to the extent that I'm not satisfied that your are genuinely seeking entry as a visitor.    You state that your father has given you PKR 500,000 for the trip. You state that this is from the sale of property. You have provided an affidavit which details the sale of property. However, this affidavit and the other documents do not demonstrate the source of funds provided by your father. Therefore, I'm not satisfied that you are a genuine visitor.       This was refused on 17th May, 2016.   I can tackle the first two points by decreasing my duration of trip to 6 days and getting an other employment letter from my employer with my job details , rank, salary, duration, leaves details and purpose of visit to UK.  I think that would satisfy ECO. Am I right?   Second question is with point three. My previous visa was sponsored by my father. He gave me 500,000PKR which is still in my account. I will provide with property transfer papers now.(initially I gave an affidavit of agreement to sell that has now completed) and will explain that 500,000 transaction. Now I m employed at 82,000PKR per month from May 18th, 2016. I had deposited three salaries in my account and all of them were cash deposits as I am paid in cash and I've got salary slips verifying the dates on which amount was deposited in my account. So, I want to apply visa this time as self sponsored.    Is it a reasonable way to apply or not? Please suggest something if its not proper. In this case what documents do I need to provide?  Thanking in anticipation.
I had applied for a PLAB (Doctors) Visa for the UK to appear in PLAB test. I got refused on the basis of two recent large deposits in the bank statement I provided (my mothers). In reality, these are my own savings which I had deposited in her account to make it more strong. The only objection I got was that I must provide evidence for the source of these deposits. Other than this, I have previously travelled to the UK and USA as well as other parts of the world and my travel history is fine. Can someone please advise on how to proceed and re-apply?
If a group mod its commutator subgroup is cyclic, then the group is abelian? Let $G$ be a group and let $G'$ denotes its commutator subgroup, that is the group generated by all elements of the form $g^{-1}h^{-1}gh$.  Is the following true:      If $G/G'$ is cyclic, then G is abelian.   Recall that the claim is true for the $G$ modulo the center of $G$.  See How do Muggle Wars affect the magical world? This came up to me while I was reading the question about Magical being using firearms in battle to raise their power (which I think I have a good answer for, but it's too long to fit in this question... and it would also be inappropriate).  Anyways, I was reading it and then the following thought came into my mind: If wizards decided to use guns on their battles (the ones agains Voldemort for instance), that would create that opening for much bigger battles than we see in the books (after all even a muggle can fire a gun, so lots of guns + the Imperio curse, and presto manifesto (is that racist? talking about wizards and all) you have yourself an army). Those kinds of battles, however, would most definitely not go unnoticed by the muggles - even though they wouldn't be able to link it to magic.  Well, that thought brought up my one and final question, which I bring forth to you guys. Is there any mention on how the Wizards and Witches viewed the two world wars (which had taken part by the time Harry got to Hogwarts, and which he had probably heard about in muggle school), and what was the Wizards' part in it? What about the cold war? Did the magical world even recognise the existence of weapons such as nukes, which could render all life on earth extinct?  EDIT  DVK has brought up an  regarding the connections between the Second World War and the wizarding world (more specifically, the wizard Grindelwald). Although it doesn't fully answer my question, it does help by showing that there was indeed some form of connection between the two world at the time. Calculate the uncertainty in velocity of electron I got this question in one of my periodic test in coaching, I (seemingly) solved the question but later recognised what mess I did.  So, the question is :      Calculate the uncertainty in velocity of an electron. If the uncertainty in its position is ${10^ {-15}} \; \mathrm m$.   By simple calculations one can see that the answer would be ${5.79\times{10^{10}}} \; \mathrm{m/s}$. However, as one can see, the uncertainty in velocity is greater than the velocity of light then how is that possible or there is some other way to handle such problems.  P.S. I know the concept of dynamic mass but I am not very familiar with it. (I think that would work here, but don't know how?) MySQL returns only one row How to 'sum' a standard deviation? I have a monthly average for a value and a standard deviation corresponding to that average. I am now computing the annual average as the sum of monthly averages, how can I represent the standard deviation for the summed average ?  For example considering output from a wind farm:  Month        MWh     StdDev January      927     333  February     1234    250 March        1032    301 April        876     204 May          865     165 June         750     263 July         780     280 August       690     98 September    730     76 October      821     240 November     803     178 December     850     250   We can say that in the average year the wind farm produces 10,358 MWh, but what is the standard deviation corresponding to this figure ? I'm practicing proofs and given the following statement:  Let $\Sigma$ be an alphabet, $\epsilon$ the empty word and $\sigma:\Sigma^{*}\rightarrow\Sigma^{*}$ an operation which for $a\in\Sigma$ and $w\in\Sigma^{*}$ is defined as $$\sigma(\epsilon)=\epsilon,\\\sigma(wa)=a\sigma(w).$$  I would like to prove through induction that $\sigma$ is equal to the word reversal operation $rev$ meaning that $\sigma(w)=rev(w)=w_{n}...w_{1}$ for every $w=w_{1}...w_{n}\in\Sigma^{*}$.  My suggestion is as follows:  For $w=\epsilon$ we have $$\sigma(w)=\sigma(\epsilon)=\epsilon=rev(\epsilon)=rev(w).$$  Let $w=xa$ with $x\in\Sigma^{*}$ and $a\in\Sigma$, then $$\sigma(x)=x_{n}...x_{1}=rev(x).$$  Thus we also have $$\sigma(w)=\sigma(xa)=\sigma(x_{1}...x_{n}a)=a\sigma(x_{1}...x_{n})=ax_{n}\sigma(x_{1}...x_{n-1})=...=ax_n...x_{1}=rev(x_{1}...x_{n}a)=rev(xa)=rev(w).$$  Does that constitute a correct and sufficient proof? If not, I would very much appreciate your feedback. I see an increased quantity of "are you a bot" captcha.  What can I do to reduce the quantity of these?  I use Google Chrome on iOS. I have "save bandwidth" turned off. (This feature uses a caching compressing proxy at Google). I connect using 3G over giffgaff uk (which uses the o2 network).  I have an account with over 4k rep on the  site. I visit every day, I vote frequently but not anything unusual. dpkg exit with error parsing file `/var/lib/dpkg/status`, what to do? Shut down computer from keyboard Is there a keyboard shortcut available to shutdown the computer?  I know I can use the Power button, but I would like to be able to it from the keyboard.  If such a shortcut does not exist already, how do I set one? "Comments only" lock notice on closed questions mistakenly says that question is still accepting answers When a question has a &quot;comments-only&quot; lock, the following notice is displayed on top of the question:  Locked for X days. Comments on this question have been disabled, but it is still accepting new answers and other interactions.  However, I noticed that if the question is closed (even before the lock), the same notice is used:  ..which could be confusing, especially for new users. Proposed change to the notice on closed questions:  Locked for X days. Comments on this question have been disabled, but it is still accepting [votes and] other interactions.  Or, as others have suggested, the additional &quot;but it is still accepting [...]&quot; part can simply be removed as it hardly provides any new information. Long story short  I have two computers: a laptop and a desktop computer. Both have Windows 7 on them.  I buy the Windows 8 Pro upgrade. To see if it screws up anything, I install it on my laptop as a guinea pig. I intend to use Windows 8 for my main computer, my desktop, but I want to test it on the laptop, so I know I don’t risk losing access to my desktop and the data on it. I never use my laptop, and only used it, because it already has a Windows 7 installation on it.  The problem  At some point, I must have entered the license key on my laptop, because when I go to the activation screen on my desktop, I get this:    Uh-oh. I can’t use the key on my desktop. Now how the hell do I transfer the key from my laptop to my desktop computer?  Answers and suggestions so far  Let’s just say that I tried everything possible to get some answers on this matter. The best response I got from Microsoft is this:     To install Windows 8 on your desktop, do the following:         Uninstall Windows 8 on your laptop   Afterwards, install Windows 8 on your desktop   If it won’t activate, call product activation at (...)      I am not a fan of that last point. The error message does allude to such a solution, however:     If you’ve reinstalled Windows or made changes to your hardware recently, you may be able to use your current key.   The question  My main question is this: has anyone been in a similar situation, and if so, what did you do to resolve this?  Failing that, what is the proper way to   uninstall the Windows 8 installation on my laptop, and reinstall the Windows 8 installation on my desktop?   Ad 1  I have already tried using the “reset” feature on my laptop, but that only resulted in a new Windows 8 installation that was already activated. But which is the right way to uninstall the installation in a way that allows me to use the license key on the desktop computer?  Ad 2  Which is the proper way to reinstall the Windows 8 installation on my desktop computer? Why do I even have to reinstall it in the first place?  I won’t get around to do this, until my USB key with 3.0 support arrives in the mail, but it is going to be a while, until I find a assuaging response to the best way to go about this anyway. How to hide the [@] in a Minecraft command block When should I use double or single quotes in JavaScript? console.log(&quot;double&quot;); vs. console.log('single'); I see more and more JavaScript libraries out there using single quotes when handling strings. What are the reasons to use one over the other? I thought they're pretty much interchangeable. Does the cross-entropy cost make sense in the context of regression? Does the cross-entropy cost make sense in the context of regression (as opposed to classification)? If so, could you give a toy example through TensorFlow? If not, why not?   I was reading about cross-entropy in  by Michael Nielsen and it seems like something that could naturally be used for regression as well as classification, but I don't understand how you'd apply it efficiently in TensorFlow since the loss functions take logits (which I don't really understand either) and they're listed under classification Decomposition of semisimple Lie algebra via its roots Exercise 14.33 in Fulton and Harris's Representation Theory claims that  If the roots of a semisimple Lie algebra lie in a collection of mutually orthogonal subsets, one sees that the Lie algebra decomposes into a direct sum accordingly.  Although intuitively I can see why this is true, could anybody direct me to a proof of this assertion, or outline how I should go about doing it? How do you mock a Sealed class? So basically, I'd like to use iwconfig to connect to my wifi network when I'm not inside X. But I just don't see a way to do it in the man page. Any idea? Double calculation producing odd result How to insert HTML to PHP DOMNode? irreducibility of a polynomial over $\mathbb{F}_2$