Collect information about currently running queries only when client timeout occurs
How to create an Event Notification that runs a Job/procedure when mirroring state changes
Zariski Tangent Space and $k[\varepsilon]/\varepsilon^2$ Let $X$ be a scheme over a field $k$, and let $x\in X$ be a rational point, that is, we have $k(x):=\mathcal{O}_x/\mathfrak{m}_x\cong k$.  Let $\alpha:\mathfrak{m}_x/\mathfrak{m}_x^2\rightarrow k$ be an element of $T_x=(\mathfrak{m}_x/\mathfrak{m}_x^2)^*$, the Zariski tangent space to $X$ at $x$.  Using $x$ and $\alpha$, I'd like to define a $k$-morphism of schemes Spec $k[\varepsilon]/\varepsilon^2\rightarrow X$.  In the course of the construction, I need to define a local map of local rings $\mathcal{O}_x\rightarrow k[\varepsilon]/\varepsilon^2$.  Using $\alpha$, what is a natural way to define such a map?  It might be helpful to note that I have an injection $k\hookrightarrow\mathcal{O}_x$ arising from the $k$-scheme structure on $X$.  I think this leads to a decomposition $\mathcal{O}_x/\mathfrak{m}_x^2=k\oplus(\mathfrak{m}_x/\mathfrak{m}_x^2)$ as $k$ vector spaces, from which the desired map would follow, but I can't seem to explicitly see what this decomposition is inside of $\mathcal{O}_x/\mathfrak{m}_x^2$.  This is part of exercise II.2.8 in Hartshorne. Where does YouTube's offline feature store video files? I'm using YouTube offline feature on my Android device, so that I can playback the offline videos within the YouTube app even there is no internet connection. When I searched for any of the video files, I can't find them on device/SD card memory. Are they encrypting the file so that it can be played only with YouTube app? Does anyone know the specific folder for offline video data? Was Grand Moff Tarkin under Darth Vader's control? In A New Hope, we see Grand Moff Tarkin ordering Darth Vader around. Also, it was . It's uncertain whether he knew .  But considering that Darth Vader was a Sith Lord, and a Jedi before that, are we entirely sure he wasn't secretly controlling Tarkin through a Jedi Sith mind trick? Can I re-create deleted Gmail accounts? A long time ago, I created a Google mail account. I fell for a trap that was common back then (not sure how it is nowadays) and ended up with two Google accounts—one for Gmail (using the Gmail email address I would like to use) and one for everything else (using an email address at an external mail provider).  Hoping that I could associate my Gmail and my actual Google account, I deleted my Gmail account only to discover that deleted account names cannot be used again. So basically my old Gmail account along with the Google email address I would like to use is gone.  My main Google account got assigned a different Gmail account in the mean time.  Do you know if it is possible to re-use my preferred Gmail address? If possible, I would like to assign it to my main Google account. But I'd also be happy to have it as a second Google account, anything is better than the current situation. Is the following correct, or is there more to it?  "I forgot his name" — I knew his name, but I forgot it.  "I forget his name" — I keep forgetting his name. Where using "forget" basically means that you tried to remember this information before as well, but you couldn't then either. How can I find the program I'm hiding in bash Say I have PATH="home/bob/bin:/usr/bin".  I am writing a bash script /home/bob/bin/foo that will do some munging and then call /usr/bin/foo.  Of course I want to be able to use this script on different systems which have different path structures.  In practice the real foo might be in many different places, so I want to just find it from the PATH.  My new foo script is on my path too, so I can't just call foo, that will result in a recursive call.  Is there an easy way of doing this in a bash script? (Other than looping through elements of PATH and doing the search manually?) Difference between Ubuntu and Linux Mint Can someone please tell me the differences between Ubuntu and Linux Mint ?   I thought they were almost the same thing until I downloaded Ubuntu 13.10 versions of softwares for my Linux mint 16 system, and half of them didn't work. (I did that as those are the links I got when I searched for Linux mint versions) Coconut Water from White vs Brown Coconuts So, I have proven already that every open set in $\mathbb{R}$ can be written as a countable union of disjoint open intervals; i.e., that $\mathcal{O} = \bigcup_{i=1}^\infty (a_{x_i}, b_{x_i})$.  Now, consider the closed interval $\left [ a + \frac{1}{n}, b - \frac{1}{n}\right ] \subset (a, b)$.  Since the midpoint of $(a,b)$ is $\frac{b-a}{2}$, we need $\displaystyle n &gt; \frac{2}{b-a}$.  Otherwise, $\displaystyle a + \frac{b-a}{2} = a + \frac{1}{ \frac{2}{b-a}} = b - \frac{1}{ \frac{2}{b-a}} = b - \frac{b-a}{2}$, and our interval will be degenerate.  Note that $\forall (a,b) \in \mathcal{O}$,   $\displaystyle \bigcup_{n = \frac{b-a}{2}+1}^{\infty} \left[ a + \frac{1}{n}, b - \frac{1}{n} \right] = (a,b)$.  So, we have $\displaystyle \mathcal{O} = \bigcup_{i=1}^\infty \left ( \bigcup_{n = \frac{b-a}{2} + 1}^\infty \left[ a_{x_i}+\frac{1}{n}, b_{x_i}-\frac{1}{n} \right] \right)$.  But, I don't like this. It looks like I'm still just taking a union of open sets.  Please help me get this to look like the union of closed sets.  (For unbounded intervals, I know what to do - it should follow from this relatively easily). How do we prove that something is unprovable? How to prevent RGB composite flatten to 1 band after raster calculation I have a series of landsat wanting to process in raster calculator, but after doing the tool it happened these output images only contain one single band. They used to be RGB 3-band images.  It is on arcmap 10.3. I was using raster calculator to remove a certain value in my 3-band landsat image. After I type in the conditional statement to remove all 0 value from the inpur RGB image, it only returns an image of 1band, black and white. How can I preserve the RGB value in output. I know as a fact that I've gotten liquids larger than 3 ounces through the TSA scanner systems (such as sunscreen). I was scolded one time for bringing a shampoo container, but I was still ultimately allowed to bring that container through.  In any case, how often are liquids larger than 3 ounces ultimately confisticated, if I put them in a ziploc bag where they can be clearly seen? JTable won't show column headers Give us better search-by-score syntax tl;dr: Give the score search operator ability to change between greater than and less than.  I just noticed that searching for score:0 turns up only question with a score equal to 0. Searching for score:1 gives everything with a positive score. (&gt;=1) I can live with these. But here's the big one: score:-1. I would expect it to give all the negatively scored posts - there is a minus sign in there. But it doesn't. It gives all the posts &gt;=-1. Greater than? So, my  is that we get more granular search options for score. For example,  score:1 would show all posts with score == 1 score:1+ would show everything score &gt;= 1 score:0 would show all posts with score == 0 score:-1 would show everything score == -1 score:-1- would show al posts where score &lt;= -1  In short, the operator after the number would show which direction to go with the matching. A minus sign means less than, a plus sign means greater than. No sign means exact. Finding a closed form for a recurrence relation $a_n=3a_{n-1}+4a_{n-2}$ Consider the sequence defined by $$ \begin{cases} a_0=1\\ a_1=2\\ a_n=3a_{n-1}+4a_{n-2} &amp; \text{if }n\ge 2 \end{cases} .$$ Find a closed form for $a_n$.    I tried listing out examples, but I don't see any common pattern between them.  All solutions are greatly appreciated. Reading console input in MonoDevelop How do I get rid of eggs? How to return multiple objects from a Java method? I want to return two objects from a Java method and was wondering what could be a good way of doing so?  The possible ways I can think of are: return a HashMap (since the two Objects are related) or return an ArrayList of Object objects.  To be more precise, the two objects I want to return are (a) List of objects and (b) comma separated names of the same.  I want to return these two Objects from one method because I dont want to iterate through the list of objects to get the comma separated names (which I can do in the same loop in this method).  Somehow, returning a HashMap does not look a very elegant way of doing so. Let $T$ be a self adjoint operator on a finite dimensional inner product space. And let $4$ and $5$ be the only eigenvalues of $T$. Show $T^2-9T + 20I = 0$ .  proof:Let $T$ be a self adjoint. And let $4 , 5$ be the only eigenvalues of $T$. Then $Tv = 4v, Tv = 5v$ for some $v \neq 0$. Then $Tv = 4v, Tv = 5v$ if and only if $(T-4I)v = 0, (T-5I)v=0$.  Then $ (T-4I) (T-5I)v=0$ implies $(T^2 -5T -4T + 20I^2)v = 0$, implies   $(T^2 -9T + 20I)v = 0$, so we have  $T^2 -9T + 20I = 0  $. Can someone please check this? if it's not correct, could I please have some help on it? Thank you Is there any direct relation among first, third, fourth order moments?