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How to prove wave nature of large object? How can I get free or trial ExactTarget instance How can I get free or trial ExactTarget instance. I need to do ExactTarget SAML2.0 Single Sign-On connector development, integration and testing. Is there any step by step documentation available so that I can work on ExactTarget SAML2.0 Single Sign-On ? I am a seafarer (marine engineer) and I have to often visit different countries. This time I received my sign-off from Iran and they stamped my passport. Would this cause a problem for getting a US C1D1 visa since my next company wants me to have this visa? I am an indian national. Quick-and-dirty way to ensure only one instance of a shell script is running at a time What's a quick-and-dirty way to make sure that only one instance of a shell script is running at a given time? How to make the Navigation Bar of an UINavigationController display at the bottom? In Pillow Problems and a Tangled Tale Lewis Carroll presents the following problem:     A bag contains a counter, known to be either white or black. A white counter is put in, the bag is shaken, and a counter is drawn out, which proves to be white. What is now the chance of drawing a white counter?   One can easily reason that in the end, the bag must be in one of three states:   Black remains, new white taken New white remains, original white taken Original white remains, new white taken   In two of those states, a white counter remains to be drawn. Therefore, the chance is 2/3.  How can one arrive to this answer using Bayes' theorem? Is there a travelling speed of for electric field? If yes, what is it? Consider two circuits containing a battery, bulb, switch and conducting wires but of length 1 meter in one case and 1000KM in other. When switched on at the same time both the bulbs glow instantaneously. I think it is because, electric filed travels from positive terminal of battery to negative terminal through wire almost instantaneously.  My question is there any speed for this electric field? If yes, what is it? By any modification in this circuit is it possible to induce any delay in glowing the bulb? Show that if $p$ is prime then $\Bbb Z_p$ is a field Check my proof please.  Let $\Bbb Z_p:=\Bbb Z/p\Bbb Z$ be the quotient ring modulo $p$. I want to prove that if $p$ is prime then $\Bbb Z_p$ is a field.  Known facts about the quotient rings of the kind $\Bbb Z_n$ (I dont list all the characteristics of a ring, just some ones):   They are commutative rings with unity. $[0]=[n]$ is the identity of addition or zero. Then $[n]+[a]=[a]$ and $[n]\cdot[a]=[n]$ for all $[a]\in\Bbb Z_n$. $[1]$ is the multiplicative identity or unity. Then $[1]\cdot[a]=[a]$ for all $[a]\in\Bbb Z_n$. The addition is defined as $[a]+[b]=[a+b]$, and the multiplication is defined as $[a]\cdot[b]=[ab]$. $[a]=[b]$ means that exists $z\in\Bbb Z$ such that $a=b+nz$. $|\Bbb Z_p|=p$.   A ring $\Bbb Z_p$ dont have zero divisors, i.e. doesnt exist $[a],[b]\in\Bbb Z_p$ distinct of $[p]$ such that $[a]\cdot[b]=[p]$. Proof by contradiction: suppose that exists such $[a],[b]$ distinct of $[p]$ that are zero divisors. Then exist some $z_j\in\Bbb Z$ such that:  $$(a+pz_1)(b+pz_2)=pz_3\iff ab+pz_4=pz_3\iff ab=pz_5$$  but this is a contradiction with the assumption that $a,b\neq p$ and $p$ prime, so dont exist divisors of zero on any $\Bbb Z_p$.$\Box$  For any $[a]\in\Bbb Z_p$ distinct of $[p]$ exist $[b]$ such that $[a][b]=[1]$. Because $\Bbb Z_p$ dont have zero divisors and is finite for some $[a]\neq[p]$ we have that if $[b]\neq[c]$ then $[a][b]\neq[a][c]$. Proof by contradiction: if $[a][b]=[a][c]$ in the above conditions then  $$[a][c]=[ac]=[ab]=[a][b]\iff ac+pz_1=ab+pz_2\iff a(c-b)=pz_3$$  for some $z_j\in\Bbb Z$. But $pz_3\in[p]$, then $[a][c-b]=[p]$ but because there are no zero divisors in $\Bbb Z_p$ then or $[a]=[p]$ or $[c-b]=[p]$ what contradicts the above conditions.$\Box$  Because $[a][b]\neq[a][c]$ for $[a]\neq[p]$ and $[b]\neq[c]$ then for any $[a]\neq[p]$ we have that  $$[a]\cdot\Bbb Z_p=\Bbb Z_p\implies \exists [b]\in\Bbb Z_p:[a][b]=[1]$$  In other words: every element of $\Bbb Z_p$ but $[p]$ have a multiplicative inverse as stated above.$\Box$  Because $\Bbb Z_p$ is a commutative ring with $[1]\neq[0]$ and have multiplicative inverse for all their elements but $[p]=[0]$ then $\Bbb Z_p$ is a field.$\Box$ How can I install a package without root access? Backup GNOME-Terminal Why is polynomial regression considered a special case of multiple linear regression? If polynomial regression models nonlinear relationships, how can it be considered a special case of multiple linear regression?  Wikipedia notes that "Although polynomial regression fits a nonlinear model to the data, as a statistical estimation problem it is linear, in the sense that the regression function $\mathbb{E}(y | x)$ is linear in the unknown parameters that are estimated from the data."  How is polynomial regression linear in the unknown parameters if the parameters are coefficients for terms with order $\ge$ 2? Adding tags to files in OS X: How to use, where are tags stored, and will they work on a network? Possible to click on an object in the viewport and the object list hierarchy automatically goes to that object also? Handling data in a PHP JSON Object Trends data from Twitter Search API in JSON.  Grabbing the file using:  $jsonurl = "http://search.twitter.com/trends.json"; $json = file_get_contents($jsonurl,0,null,null); $json_output = json_decode($json);   How do I work with data from this object. As an array? Only really need to extract data from the [name] values.  JSON object contains:  stdClass Object (     [trends] =&gt; Array         (             [0] =&gt; stdClass Object                 (                     [name] =&gt; Vote                     [url] =&gt; http://search.twitter.com/search?q=Vote                 )              [1] =&gt; stdClass Object                 (                     [name] =&gt; Halloween                     [url] =&gt; http://search.twitter.com/search?q=Halloween                 )              [2] =&gt; stdClass Object                 (                     [name] =&gt; Starbucks                     [url] =&gt; http://search.twitter.com/search?q=Starbucks                 )              [3] =&gt; stdClass Object                 (                     [name] =&gt; #flylady                     [url] =&gt; http://search.twitter.com/search?q=%23flylady                 )              [4] =&gt; stdClass Object                 (                     [name] =&gt; #votereport                     [url] =&gt; http://search.twitter.com/search?q=%23votereport                 )              [5] =&gt; stdClass Object                 (                     [name] =&gt; Election Day                     [url] =&gt; http://search.twitter.com/search?q=%22Election+Day%22                 )              [6] =&gt; stdClass Object                 (                     [name] =&gt; #PubCon                     [url] =&gt; http://search.twitter.com/search?q=%23PubCon                 )              [7] =&gt; stdClass Object                 (                     [name] =&gt; #defrag08                     [url] =&gt; http://search.twitter.com/search?q=%23defrag08                 )              [8] =&gt; stdClass Object                 (                     [name] =&gt; Melbourne Cup                     [url] =&gt; http://search.twitter.com/search?q=%22Melbourne+Cup%22                 )              [9] =&gt; stdClass Object                 (                     [name] =&gt; Cheney                     [url] =&gt; http://search.twitter.com/search?q=Cheney                 )          )      [as_of] =&gt; Mon, 03 Nov 2008 21:49:36 +0000 ) System.ListException: Before Insert or Upsert list must not have two identically equal elements - Deep Dive How to host a single website on multiple servers? I'm planning on releasing an iOS app that downloads video from my server. If hundreds of people on the launch day try to do this, then my website and the services that my server provides will clearly go down. How do you host a website on multiple servers? When someone tries to access my site, how is their request passed to an available server? How do Apple and Google do it? Thanks for your help. How do I install pepper-flash on Chromium? I have Chromium web browser on my Lubuntu 13.04 (pre-installed).  I use LX Terminal (pre-installed) to write commands. I am trying to download flash player on Chromium using instructions on this :  sudo add-apt-repository ppa:skunk/pepper-flash   After typing in my password, this worked. Now   sudo apt-get update   I didn't need to type in my password, as I continued on the same terminal, but got W:/ and E:/ fetch file errors  sudo apt-get install pepflashplugin-installer   I continued on the same terminal despite the fetch file errors... and they said pepflashplugin-installer could not be found.  Is the last error because of fetch file errors, or because I need to download pepflash-plugin-installer somewhere? Or is it because of something else?  I cannot download the Chrome browser, and not looking to use flash player on my Firefox web browser (installed using lubuntu software center). Express $\sqrt{3}\sin\theta - \cos\theta$ as: $a\cos (\theta + \alpha) $ What are the uses of "using" in C#? Windows 10 lets you 'schedule' a reboot for later. I want to disable it.  Evidently Windows scheduled itself for a reboot last night when I wasn't looking and just closed everything I had been working on the night before.  I reboot on the regular; I don't need Windows to do that for me.  Can I disable it completely? I don't mind if it downloads everything, and then says "hey, you should reboot," but it should never reboot itself, ever.  I'm using the "Pro" edition of Windows 10.