When looking through some of the riddles on the puzzler SE, I noticed that quite a few of them used images that they posted on the i.stack.imgur page. When I went on that page, all I got was this:  Is there something that I need to do to post images on this page, or is the website down?
Sometimes I need to upload, embed, or display inline an image in a question or answer. How can I do that?
What's the simplest way to print a Java array? In Java, arrays don't override toString(), so if you try to print one directly, you get the className + '@' + the hex of the  of the array, as defined by Object.toString():  int[] intArray = new int[] {1, 2, 3, 4, 5}; System.out.println(intArray);     // prints something like '[I@3343c8b3'   But usually, we'd actually want something more like [1, 2, 3, 4, 5]. What's the simplest way of doing that? Here are some example inputs and outputs:  // Array of primitives: int[] intArray = new int[] {1, 2, 3, 4, 5}; //output: [1, 2, 3, 4, 5]  // Array of object references: String[] strArray = new String[] {"John", "Mary", "Bob"}; //output: [John, Mary, Bob] How to use CDF and PDF statistics for analysis This may be too much of a general question but I hope I can find help here. I am starting a RA job in my university and my topic will be related to Internet Traffic Analysis. I am fairly new to the world of analysis but I guess in the world of research this is what I have to do a lot of.  I've been through a few papers and in a lot of them I find they use Probability Density (PDF), CDF, CCDF etc to explain the results they've obtained. For example, PDF of user session duration, CDF of bytes transferred each day etc. I have taken probability and statistics class so I understand what they are but I am still confused to the cases in which such representation would be chosen.  So, if there is anyone out there who does such graphs and analysis (in any other topic in general or this) could you tell me simply in what situation would I use one or the other of these representations Tikz /.style with two parameters How do I pass two parameters to a tikz style?  I would like to do something like this:  \begin{tikzpicture}[     transformer/.style={draw, cylinder, gray!80, rotate=90, minimum height=#1, minimum width=#2},   And then, I want to use this style in a node:  \node [transformer{2.3cm}{1cm}] () at (0,0.6) {}; Standard Visitor visa refusal (Deception, V3.6(b)) and procedure for reapplying My mother acquired a criminal record in UK in 2010 when she was given a conditional discharge for 12 months and charged £85. This time while applying the on-line applications for her, I accidentally missed the criminal records column and replied "NO". The visa was refused with appeal and administrative review not allowed.  Can someone please suggest my next course of action for reapplying for a visa  It is an extremely urgent family matter, and I want the visa as early as possible. While researching I found in a blog some mention of a forwarding letter while reapplying.  Can someone please enlighten me on the entire issue? Probability of success on third and fourth trials? I have a pretty basic probability question, but I'm just having difficulties remembering what distribution this is.  A coin is tossed until a head appears two times in a row. Given that we are using a fair coin, what is the probability that we toss the coin exactly 4 times such that the two consecutive heads are the 3rd and 4th trials?  I know that this would be fairly easy to solve by brute force and listing out the different probabilities, but I'm a little confused as to how to use a "shortcut" such as identifying this as a binomial distribution. I also don't know how to account for the probability that we are using 4 tosses.  Any help is appreciated. Thanks! Can I print a custom paper on standsard size in word? Mysql crashed, dumped DB's in recovery mode. What now? I read an essay about prime numbers. In it the author suggests that a natural first question to ask is,      What is the probability of a random natural number being prime?   but proceeds to dismiss it as "not making sense". I wonder what's wrong with the question. Is its meaninglessness related to the fact that there is an infinite number of naturals? Visual Flow: How to set Date field to Null / Blank? Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$ How would I go about evaluating this integral? $$\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx.$$ What I've tried so far: I tried a semicircular integral in the positive imaginary part of the complex plane, excluding the negative real axis, but had trouble calculating the residue at $z=i$ (perhaps there is a way of doing this that I don't know of). After that didn't work, I tried a rectangular box integral from $\epsilon$ to $R$, from $R$ to $R+i/2$, from $R+i/2$ to $-S+i/2$, from $-S+i/2$ to $-S+i\epsilon$, from $-S+i\epsilon$ to $-\epsilon+i\epsilon$ and finally a semicircle around the origin, radius $\epsilon$.   Any help would be appreciated. Are counters (noun) physical things? Can black holes be created on a miniature scale? Proof that exponential function's limit definition increases monotonically? It is well known that we can define $e^x$ by the following limit  $$e^{x}=\lim_{n\to\infty}\left(1+{x\over n}\right)^n$$  I would like to show that the RHS sequence is always less than or equal to $e^x$ for all $-n\le x\le0$ and $n&gt;1$, and what I had currently done is to study the property of this sequence (which is defined as $f(x)$)  $$f(x)=\left(1+{x\over n}\right)^n$$  I also find its first and second derivative $f'(x)=\left(1+{x\over n}\right)^{n-1}$ and $f''(x)={n-1\over n}\left(1+{x\over n}\right)^n$ and show that they are strictly positive for all $x\in[-n,0]$. As a result $f(x)$ is monotonically increasing and concave up. By plugging in the end points I found that $f(0)=1\le e^0$ and $f(-n)=0&lt;e^{-n}$, I wonder if these conditions allow me conclude that $f(x)\le e^x$ for all $x\in[-n,0]$. R: loading a table with number as the column heading all were wrongly added a X, how to solve it? How to disable all caches in safari 11? Different colors for different types of blocks in beamer In a beamer presentation, I’d like to set up different colors for normal blocks, definition blocks, theorem blocks, proof blocks, example blocks…  Ideally I’d set those up using \usebeamercolor commands. I can do it for example blocks, and for all other kinds of blocks at once, as illustrated in the sample below (compiled using XeLaTeX). But I can’t find how to do it for specific, non-example, types of blocks.  I suppose “” points towards some solution, but I’d prefer (somehow) inheriting from the existing special block environment definitions rather than define new environments from scratch.  \documentclass{beamer} \usepackage{fontspec}  \useinnertheme[shadow=true]{rounded}  \setbeamercolor{block title}{use=structure,fg=structure.fg,bg=structure.fg!20!bg} \setbeamercolor{block body}{parent=normal text,use=block title,bg=block title.bg!50!bg}  \setbeamercolor{block title example}{use=example text,fg=example text.fg,bg=example text.fg!20!bg} \setbeamercolor{block body example}{parent=normal text,use=block title example,bg=block title example.bg!50!bg}  \begin{document} \begin{frame}     \begin{block}{My block}         A block.     \end{block}     \begin{definition}[My definition]         A definition.     \end{definition}     \begin{theorem}[My theorem]         A theorem.     \end{theorem}     \begin{proof}[My proof]         A proof.     \end{proof}     \begin{example}[My example]         An example.     \end{example} \end{frame} \end{document} Commas with "so" I am confused with the usage of so.  Consider some examples from Oxford and Meriam-webster        It was still painful so I went to see a doctor (Oxford).   We were bored with the movie, so we left (MW).   There are no more chairs available, so you'll have to stand (MW).      So is a conjunction in all the above sentences. But I don't understand when to place a comma before it. So is one of FANBOYS. Thus, we have use a comma when it connects two independent clauses, which I think contradict the first sentence.  Is the placement of comma before so depends on a style guide? For example, Americans prefer a comma while the British doesn't. Word that means "outdated name" Is there a word that means "outdated name"? For example:   Record, although very little music is on vinyl Film, although most movies are digital Horsepower, although no one uses horses as a metric anymore Phone, although it's mostly used to access the web   and so on. Why is unity feedback used? Reading about  I understood that black holes lose energy over time - which is logical in some way (otherwise they would be there forever and heat death would never technically happen)  But - how exactly does it "evaporate"? What happens when it no longer contains enough mass within it's  ? Does it explode somehow? Transforms into "regular matter"? Simply vanishes over time? Or?