Why was sabotage so easy in the Triwizard Tournament?
Why didn't anybody Summon the Triwizard cup in the maze?
I want to do:  cat update_via_sed.sh | sed 's/old_name/new_name/' &gt; new_update_via_sed.sh   in my program.  But I want to use variables, e.g.  old_run='old_name_952' new_run='old_name_953'   I have tried using them but the substitution doesn't happen (no error). I have tried:  cat update_via_sed.sh | sed 's/old_run/new_run/' cat update_via_sed.sh | sed 's/$old_run/$new_run/' cat update_via_sed.sh | sed 's/${old_run}/${new_run}/' Where is the operator panel in Blender 2.8? Formal Proof that area of a rectangle is $ab$ I tried to prove that the area of a rectangle is $ab$ given side lengths $a$ and $b$.  The best I can do is the assume the area of a $1\times1$ square is $1$. Then not the number of $1\times1$ squares that fit in an $a\times b$ rectangle is $ab$. Therefore area is $a\cdot b$. This does not seem rigorous however. java.lang.RuntimeException Cannot find FacesContext Discoveryd Alternative to Replace mDNSResponder Argument? This is a direct follow-on to . , I'd add the "-AlwaysAppendSearchDomains" argument to the mDNSResponder plist file so that all local resolver lookups added the search domains, regardless of whether there was a period in the label to be looked up. For example, whether I try to ssh to hostname foo.bar or foo, the search domain of baz.com should be tried, not only for the latter case, as was (and is) the default behavior.   Now, it looks like the mDNSResponder is gone, replaced with discoveryd. I cannot find a similar option to get it to always appending the search domain. Suggestions? I'd rather not go the route of using a non-default local resolver, but I'd consider it as an option. For now, I'll just type in the long FQDNs, but I'd really rather not.  Thanks, Pete Proof that a sequence is convergent PHP PDOException: "SQLSTATE[HY093]: Invalid parameter number" This looks a little bit like a variation on  but specific to the tags view.  Reproduction (app version 1.0.71):   Select any site (say Meta) from the sidebar Switch to the tags view using the top bar Choose a tag, any tag ( is nice)   optionaly refine your search with more terms  Go to any question found, go back   you end on the unfiltered tags view  Go back again   lucky you, your search is here Solving equation involving Euler's totient function Given $m\in\mathbb{N}$, is there a general way to solve the equation \begin{equation} \varphi(n)=m \end{equation} where $\varphi$ is the Euler's totient function? For example, I want to solve for all the $n$'s such that $\varphi(n)=4$. Is there any way to solve it that are also applicable to many (if not general) cases? Difference between force.com and salesforce.com? What the difference between the two?  This description seems to be a bit out of date and underspecified. I'm a student and I'm working on a low power communication project. I am trying to design a PCB using the . There is a MC-306 (32.768kHz, 12.5pf, and 20/50ppm).   I don't know what the 20/50ppm rating is. For me, the size is very important, so I decided to replace it with the , but its ppm is -20/+20. Will it cause a problem if I use this one instead?  What is the ppm rating in the crystal oscillator? Proving bessel identity $[J_0(x)]^2 + 2[J_1(x)]^2 + 2[J_2(x)]^2 + \cdots = 1$ and $|J_0(x)|\le 1$ The generating function for a Bessel equation is:      $$g(x,t) = e^{(x/2)(t-1/t))}$$      Using the product $g(x,t)\cdot g(x,-t)$ show that:      a) $$[J_0(x)]^2 + 2[J_1(x)]^2 + 2[J_2(x)]^2 + \cdots = 1$$      and consequently:      b)      $$|J_0(x)|\le 1, \forall x$$      c) $$|J_n(x)| \le \frac{1}{\sqrt{2}}; n=1,2,3,\cdots$$   For a) I tried the product:  $$e^{(x/2)(t-1/t))}\cdot e^{(x/2)(-t+1/t))} = 1$$  I at least arrived at the right side of the equation. Since this generates the bessel functions, I should arrive at something related to $J_n$ in the left side. I know that  $$e^{(x/2)(t-1/t))} = \sum_{n=0\infty}^{\infty} J_n(x)t^n$$  $$e^{(x/2)(-t+1/t))} = \sum_{n=0\infty}^{\infty} J_n(x)(-t)^n$$  but it's not just a matter of multiplying coefficients from the two infinite series, right?  For $b$, I tried to use  but it's not as obvious  I have no idea how to deal with $c$, could somebody help me? Java: Avoid inserting duplicate in arraylist I recently ran the iTunes 10 installer in Wine and everything seemed to go well. Then, when I tried to run it, it would constantly crash/and the appearance would be glitchy. After looking at the Wine website, it turns out that iTunes 10 has a 'garbage' rating of Wine compatability.  Now I'm trying to remove/uninstall iTunes, QuickTime, and the other applications that come default with installing iTunes (such as Bonjour, etc.). However, when I run the 'uninstaller' that wine provides for the programs, it instead executes what appears to actually be the original installer! I've tried deleting all the configuration/data files in my Wine's file-system, but to no avail.  Any help is greatly appreciated!  Edit1: After re-running the uninstall process and then rebooting, the program (iTunes 10) still remained installed. What are the key principles that effective designs share? You have arrived on this page because you are clearly curious about underlying fundamentals that you can incorporate into your thought process when designing.  According to many that came before us, there are key principles that can be considered when creating an effective design. In the following answers, you will find useful theories from a variety of respected sources.  Use this question as a reference for navigating the variety of topics:  Gestalt Principles  &nbsp;&nbsp;  &nbsp;&nbsp;  &nbsp;&nbsp;  &nbsp;&nbsp;  Other Fundamentals and Useful Information  &nbsp;&nbsp;  &nbsp;&nbsp;  &nbsp;&nbsp;  &nbsp;&nbsp;  If you know of a topic that hasn't been covered here, please add an answer with references to respected resources and it will be added to the list.  Of course direct quotes and paraphrasing from respected resources are a must, but should be limited to a small paragraph per topic at most and referenced back to their source as thoroughly as possible.  A  has been posted before, but not to create a collection of snippets that are enlightening for graphic designers of any and all skill levels. How is MSE divided by $\sigma^2$ always a chi-square distribution? GR. Einstein's 1911 Paper: On the Influence of Gravitation on the Propagation of Light Postfix SMTP banner show multiple hostnames How to resolve a hostname to an IP address in Metro/WinRT? Can Ubuntu run on a Microsoft Surface with Windows RT? My family might be buying a Windows Surface tablet with Windows RT (Nvidia)? I was wondering if I can run Ubuntu or WUBI on it for my homework?