My name is Abbas and I am from Pakistan. I have visited the UK in 2010 on a general visit visa, and again in 2013 on a study visa. I got married last year with a British girl who stayed with me in Pakistan and went back to the UK in February of this year. I have a job here in Pakistan in a well-reputed organization.  I applied for a UK visit visa to see my wife who is expecting right now. I made a very strong case and didn't hide anything in my visa application, but my visa got rejected as they said they are not satisfied with my financial status.   I showed living expenses in the UK as 2000 UK pounds which were well above my salary. Two transactions were showing in my salary accounts which were not part of my salary. Even though it was the amount that transferred from my account and then returned to my account on the same day.   Now my question here is that if my wife applies for a spouse visa in the future, will this visit visa rejection affect my case for a spouse visa? I didn't try to act clever and hide anything but my application still got rejected. Maybe the immigration agency thought that I have intentions of staying in the UK.
The UK Visas and Immigration Directorate publishes  that provides helpful tips that can result in successful visa applications. Section 2 of this guidance opens is entitled &quot;other documents you may want to provide&quot; (emphasis mine).  Section 2: other documents you may want to provide – all visitors This section provides guidance on the types of documents that you may want to provide to help us consider your application against the Immigration Rules. Previous travel documents/passports, which show previous travel. Financial documents showing that you have sufficient funds available.  These must clearly show that you have access to the funds, such as:  bank statements building society book proof of earnings such as a letter from employer confirming employment details (start date of employment, salary, role, company contact details) where a third party (who is either in the UK or will be legally in the UK at the time of your visit) is providing financial support to you e.g. a business, a friend or a relative, documents to show that they have sufficient resources to support you in addition to themselves and any dependant family should be provided   The first item is &quot;bank statements&quot; and this ties in with the , which says...  evidence that you can support yourself during your trip, eg bank statements or payslips from the last 6 months  (Note 'eg' is a Latin abbreviation meaning &quot;for example&quot;; this appears to be optional rather than a fixed requirement.) Question: How should someone interpret this such that the chances of success are maximized? How many statements should I submit? What are they looking for and what do my bank statements tell about me?
Living potato clock? What's the best and quickest way to detect whether you're running a 32 or 64-bit version of Windows Server from the command line?  (Cygwin is installed) Error notification on plone 4 losing ligatures when switching font series or color in the middle of a word Folding a cube (animation) I'm trying to fold a cube with an animation. I've tried inverse kinetics with no luck. Here are some images that explain what I'm trying to do. I'm trying to make this so that    when the upper bone is pushed down, the box is folded to the ground. when the upper bone is pulled up, it unfolds the box. Relationship between Binomial and Beta distributions I'm more of a programmer than a statistician, so I hope this question isn't too naive.  It happens in sampling program executions at random times. If I take N=10 random-time samples of the program's state, I could see function Foo being executed on, for example, I=3 of those samples. I'm interested in what that tells me about the actual fraction of time F that Foo is in execution.  I understand that I is binomially distributed with mean F*N. I also know that, given I and N, F follows a beta distribution. In fact I've verified by program the relationship between those two distributions, which is  cdfBeta(I, N-I+1, F) + cdfBinomial(N, F, I-1) = 1   The problem is I don't have an intuitive feel for the relationship. I can't "picture" why it works.  EDIT: All the answers were challenging, especially @whuber's, which I still need to grok, but bringing in order statistics was very helpful. Nevertheless I've realized I should have asked a more basic question: Given I and N, what is the distribution for F? Everyone has pointed out that it's Beta, which I knew. I finally figured out from Wikipedia () that it appears to be Beta(I+1, N-I+1). After exploring it with a program, it appears to be the right answer. So, I would like to know if I'm wrong. And, I'm still confused about the relationship between the two cdfs shown above, why they sum to 1, and if they even have anything to do with what I really wanted to know. Why is expected value of random variable equal to mean Can you partition an infinite set, into an infinite number of infinite sets? How to programmatically close a JFrame Sounds of the letter a How can I know, precisely, when to differentiate the sounds of the letter a, like in: apple and vault? Does it make sense to combine PCA and LDA? Assume I have a dataset for a supervised statistical classification task, e.g., via a Bayes' classifier. This dataset consists of 20 features and I want to boil it down to 2 features via dimensionality reduction techniques such as Principal Component Analysis (PCA) and/or Linear Discriminant Analysis (LDA).  Both techniques are projecting the data onto a smaller feature subspace: with PCA, I would find the directions (components) that maximize the variance in the dataset (without considering the class labels), and with LDA I would have the components that maximize the between-class separation.  Now, I am wondering if, how, and why these techniques can be combined and if it makes sense.  For example:   transforming the dataset via PCA and projecting it onto a new 2D subspace transforming (the already PCA-transformed) dataset via LDA for max. in-class separation   or    skipping the PCA step and using the top 2 components from a LDA.   or any other combination that makes sense. How can I require an optional Perl module if installed? I have Perl code which relies on Term::ReadKey to get the terminal width. My installation is missing this module, so I want to provide a default if the module isn't present rather than throw an exception. How can I conditionally use an optional module, without knowing ahead of time whether it is available. # but only if the module is installed and exists use Term::ReadKey; ...  How can I accomplish this? Can Debian identify rarely used packages? I'd like to find a tool that could tell me which Debian packages on my system have been rarely or never used, perhaps by looking at file lists and access times.  This is to find candidates for deletion from my nearly full hard drive.  I'm not very well informed about the rich ecosystem of desktop GUI tools (I use aptitude); does anyone know if one of those tools, or any other tool, can identify how recently a package has been used? In the season 8 episode finale of Game of Thrones the highest important lords met with Grey Worm to free      Tyrion and Jon. While it was pretty clear why they wanted to free Jon it was unclear to me why they also asked for Tyrion.   To make things even more strange, they asked about his opinion of a potential solution which becomes the actual final one in the end      (choose king and nominate someone).   I thought they (besides Sansa and Bran) don't like him and wanted to judge him? Or am I missing something? My (very simple) question to a friend was how do I prove the following using basic trig principles:  $\tan75^\circ = 2 + \sqrt{3}$  He gave this proof (via a text message!)  $1. \tan75^\circ$   $2. = \tan(60^\circ + (30/2)^\circ)$  $3. = (\tan60^\circ + \tan(30/2)^\circ) / (1 - \tan60^\circ \tan(30/2)^\circ) $  $4. \tan (30/2)^\circ = \dfrac{(1 - \cos30^\circ)}{ \sin30^\circ}$    Can this be explained more succinctly as I'm new to trigonometry and a little lost after (2.) ?    EDIT  Using the answers given I'm almost there:   $\tan75^\circ$    $\tan(45^\circ + 30^\circ)$   $\sin(45^\circ + 30^\circ) / \cos(45^\circ + 30^\circ)$   $(\sin30^\circ.\cos45^\circ + \sin45^\circ.\cos30^\circ) / (\cos30^\circ.\cos45^\circ - \sin45^\circ.\sin30^\circ)$    $\dfrac{(1/2\sqrt{2}) + (3/2\sqrt{2})}{(3/2\sqrt{2}) - (1/2\sqrt{2})}$   $\dfrac{(1 + \sqrt{3})}{(\sqrt{3}) - 1}$   multiply throughout by $(\sqrt{3}) + 1)$   Another alternative approach:   $\tan75^\circ$    $\tan(45^\circ + 30^\circ)$   $\dfrac{\tan45^\circ + \tan30^\circ}{1-\tan45^\circ.\tan30^\circ}$   $\dfrac{1 + 1/\sqrt{3}}{1-1/\sqrt{3}}$   at point 6 in above alternative How to get attention to a post on a child meta site If I want to draw people's attention to a post on a child meta site, how can I do that? I want to get people  over at Area 51 to see what they think of the idea, because it requires opinions from the community. However, posts on the discussion zone of Area 51 rarely get activity, so it seems like I'm out of luck, unless something is changed. And from the sounds of , it seems like this is a problem on all child metas.  That post is similar, but while it talks about increasing activity in general, I am talking about how to raise participation to an individual post; the equivalent of a bounty  I can't use bounties because reputation is the same.   Could there be another way of drawing attention to individual posts? I just read a book "Linear Algebra and Its Applications 4E" by David C. Lay. The book is (should be) LaTeX typeset. The matrix and equations are so nice, please see the following 3 examples:        It's so beautiful, so I want get the same effect inside my paper. Here is my code:   \usepackage{amsmath} \usepackage{colortbl} \newcommand\y{\cellcolor{clight2}} \definecolor{clight2}{RGB}{212, 237, 244}%  %%% \[A=\left[ \begin{array}{ccccc} \y 0 &amp; -3 &amp; -6 &amp; 4 &amp; 9 \\    -1 &amp; \y -2 &amp; -1 &amp; 3 &amp; 1 \\ -2 &amp; -3 &amp; 0 &amp; \y 3 &amp; -1 \\ 1 &amp; 4 &amp; 5 &amp; -9 &amp; -7      \end{array} \right]\]  \[A=\left[\begin{array}{cccccc} \rowcolor{clight2} 3 &amp; -9 &amp; 12 &amp; -9 &amp; 6 &amp; 15\\ 0 &amp; 2 &amp; -4 &amp; 4 &amp; 2 &amp; -6 \\ 0 &amp; 3 &amp; -6 &amp; 6 &amp; 4 &amp; -5 \end{array} \right]\]   And the result:     But how to add these arrows?? I've been reading the  and it mentions about virtual terminals which, if I understood it correctly, it is a Linux-specific feature (not in Unix) to allow multiple login consoles in a non X11 system. You create virtual terminals by pressing ALT-F2. I'm running Linux Mint and in my /dev folder though I see many tty devices and I don't know what they are for. Here is the grepped output:  crw-rw-rw-  1 root tty       5,   0 Jan  2 19:45 tty crw--w----  1 root tty       4,   0 Jan  2 19:10 tty0 crw-rw----  1 root tty       4,   1 Jan  2 19:10 tty1 crw--w----  1 root tty       4,  10 Jan  2 19:10 tty10 crw--w----  1 root tty       4,  11 Jan  2 19:10 tty11 crw--w----  1 root tty       4,  12 Jan  2 19:10 tty12 crw--w----  1 root tty       4,  13 Jan  2 19:10 tty13 crw--w----  1 root tty       4,  14 Jan  2 19:10 tty14 crw--w----  1 root tty       4,  15 Jan  2 19:10 tty15 crw--w----  1 root tty       4,  16 Jan  2 19:10 tty16 crw--w----  1 root tty       4,  17 Jan  2 19:10 tty17 crw--w----  1 root tty       4,  18 Jan  2 19:10 tty18 crw--w----  1 root tty       4,  19 Jan  2 19:10 tty19 crw-rw----  1 root tty       4,   2 Jan  2 19:10 tty2 crw--w----  1 root tty       4,  20 Jan  2 19:10 tty20 crw--w----  1 root tty       4,  21 Jan  2 19:10 tty21 crw--w----  1 root tty       4,  22 Jan  2 19:10 tty22 crw--w----  1 root tty       4,  23 Jan  2 19:10 tty23 crw--w----  1 root tty       4,  24 Jan  2 19:10 tty24 crw--w----  1 root tty       4,  25 Jan  2 19:10 tty25 crw--w----  1 root tty       4,  26 Jan  2 19:10 tty26 crw--w----  1 root tty       4,  27 Jan  2 19:10 tty27 crw--w----  1 root tty       4,  28 Jan  2 19:10 tty28 crw--w----  1 root tty       4,  29 Jan  2 19:10 tty29 crw-rw----  1 root tty       4,   3 Jan  2 19:10 tty3 crw--w----  1 root tty       4,  30 Jan  2 19:10 tty30 crw--w----  1 root tty       4,  31 Jan  2 19:10 tty31 crw--w----  1 root tty       4,  32 Jan  2 19:10 tty32 crw--w----  1 root tty       4,  33 Jan  2 19:10 tty33 crw--w----  1 root tty       4,  34 Jan  2 19:10 tty34 crw--w----  1 root tty       4,  35 Jan  2 19:10 tty35 crw--w----  1 root tty       4,  36 Jan  2 19:10 tty36 crw--w----  1 root tty       4,  37 Jan  2 19:10 tty37 crw--w----  1 root tty       4,  38 Jan  2 19:10 tty38 crw--w----  1 root tty       4,  39 Jan  2 19:10 tty39 crw-rw----  1 root tty       4,   4 Jan  2 19:10 tty4 crw--w----  1 root tty       4,  40 Jan  2 19:10 tty40 crw--w----  1 root tty       4,  41 Jan  2 19:10 tty41 crw--w----  1 root tty       4,  42 Jan  2 19:10 tty42 crw--w----  1 root tty       4,  43 Jan  2 19:10 tty43 crw--w----  1 root tty       4,  44 Jan  2 19:10 tty44 crw--w----  1 root tty       4,  45 Jan  2 19:10 tty45 crw--w----  1 root tty       4,  46 Jan  2 19:10 tty46 crw--w----  1 root tty       4,  47 Jan  2 19:10 tty47 crw--w----  1 root tty       4,  48 Jan  2 19:10 tty48 crw--w----  1 root tty       4,  49 Jan  2 19:10 tty49 crw-rw----  1 root tty       4,   5 Jan  2 19:10 tty5 crw--w----  1 root tty       4,  50 Jan  2 19:10 tty50 crw--w----  1 root tty       4,  51 Jan  2 19:10 tty51 crw--w----  1 root tty       4,  52 Jan  2 19:10 tty52 crw--w----  1 root tty       4,  53 Jan  2 19:10 tty53 crw--w----  1 root tty       4,  54 Jan  2 19:10 tty54 crw--w----  1 root tty       4,  55 Jan  2 19:10 tty55 crw--w----  1 root tty       4,  56 Jan  2 19:10 tty56 crw--w----  1 root tty       4,  57 Jan  2 19:10 tty57 crw--w----  1 root tty       4,  58 Jan  2 19:10 tty58 crw--w----  1 root tty       4,  59 Jan  2 19:10 tty59 crw-rw----  1 root tty       4,   6 Jan  2 19:10 tty6 crw--w----  1 root tty       4,  60 Jan  2 19:10 tty60 crw--w----  1 root tty       4,  61 Jan  2 19:10 tty61 crw--w----  1 root tty       4,  62 Jan  2 19:10 tty62 crw--w----  1 root tty       4,  63 Jan  2 19:10 tty63 crw--w----  1 root tty       4,   7 Jan  2 19:10 tty7 crw--w----  1 root tty       4,   8 Jan  2 19:10 tty8 crw--w----  1 root tty       4,   9 Jan  2 19:10 tty9 Factorial Inequality problem $\left(\frac n2\right)^n > n! > \left(\frac n3\right)^n$ I met an inequality, I ask, do not mathematical induction to prove that:     Prove \[ \left(\frac n2\right)^n > n! > \left(\frac n3\right)^n \] without using induction This problem comes from , who do not rigorously demonstrate (in their solution key) that the statistic is not sufficient.  Let $X_1,\dots,X_n$ be a random sample from a population with PDF $f(x|\theta)=\theta x^{\theta-1} \cdot 1_{\{x\in(0,1)\}}$ for $\theta&gt;0$. Show that $\sum_i X_i$ is not sufficient for $\theta$.  If you write out the PDF $p(\vec{x}|\theta)$ of the random sample, it is clear by the factorization theorem that $\prod_i X_i$ or $\sum_i \log(X_i)$ are sufficient for $\theta$; the PDF $p$ also suggests $\sum_i X_i$ is not sufficient for $\theta$. However, to rigorously demonstrate this, we need to analyze $p(\vec{x},\theta)/q(T(\vec{x},\theta)$, where $p$ is the distribution of sample $\vec{x}$, $q$ is the distribution of the statistic $T(\vec{X})=\sum_i X_i$. But finding the distribution of $T(X)=\sum_i X_i$ seems impractical. I have observed that $f$ is the PDF of a Beta($\theta$,1) distribution, but checking online, the distribution of the sum of Beta random variables doesn't appear to have a closed form. Are there any alternative routes (e.g., showing there is no factorization involving $T(\vec{X})$)? Did C&amp;B leave out a full explanation that $\sum_i X_i$ is not sufficient because none actually exist?