The Force Dark side posses you?
What "exactly" happens when someone turns to the Dark Side?
Merging two files, one column at a time Creating triangle commutative diagram with tikz-cd I've just started using TikZ and need to create a simple triangle commutative diagram like this one.    The closest I've been able to get is this.   How do I get the h arrow to go from A2 to A3? Everything I've tried just causes errors.  Here's my current code:  \begin{tikzcd}[column sep=small] A \arrow{r}{i}  \arrow{rd}{g}    &amp; A3 \arrow{d}{h} \\     &amp; A2 \end{tikzcd} Standard example where Jacobson radical not equal nilradical Is there a standard example in commutative algebra of a ring where the jacobson radical does not equal the nilradical? How to show $x_1,x_2, \dots ,x_n \geq 0 $ and $ x_1 + x_2 + \dots + x_n \leq \frac{1}{2} \implies (1-x_1)(1-x_2) \cdots (1-x_n) \geq \frac{1}{2}$ How to show  $x_1,x_2, \dots ,x_n \geq 0 $ and $ x_1 + x_2 + \dots + x_n \leq \frac{1}{2} \implies (1-x_1)(1-x_2) \cdots (1-x_n) \geq \frac{1}{2}$ Show that $2730\mid n^{13}-n,\;\;\forall n\in\mathbb{N}$   I tried, $2730=13\cdot5\cdot7\cdot3\cdot2$  We have $13\mid n^{13}-n$, by Fermat's Little Theorem.  We have $2\mid n^{13}-n$, by if $n$ even then $n^{13}-n$ too is even; if $n$ is odd $n^{13}-n$ is odd.  And the numbers $5$ and $7$, how to proceed? What's in a name: hyperparameters So in a normal distribution, we have two parameters: mean $\mu$ and variance $\sigma^2$. In the book Pattern Recognition and Machine Learning, there suddenly appears a hyperparameter $\lambda$ in the  regularization terms of the error function.  What are hyperparameters? Why are they named as such? And how are they intuitively different from parameters in general? Number of points on a line in a finite projective plane I've been reading some proofs regarding finite projective planes of order n, and often they start out by assuming that each line contains n+1 points. Is this a fact that follows from the axioms for finite projective planes? Or does this relate to the order of the finite field being projected? (for example in the Fano plane, does the fact that each line contains 3 points follow from the fact that there are 3 elements {0,1,2} in Z_2?) I haven't been able to find a clear explanation of this (clearly I do not yet have a solid understanding of how such planes are constructed). If someone could enlighten me that would be excellent. Multivariable limit proof: $\lim\limits_{(x,y)\rightarrow (0,0)}\frac{\left|x\right|^a\left|y\right|^b}{\left|x\right|^c + \left|y\right|^d} = 0$ What causes 5 pink bars on 27" iMac (2011)? I've got a 27 inch iMac made in 2011 that displays 5 pink vertical bars on the screen. It won't boot properly. I ran the Apple Hardware Test and it came up clean.   Machine Specs:  Apple Subfamily:    Mid-2011  Apple Model No: A1312 (EMC 2429) Model ID:   iMac12,2 Disable Narrator shortcut key in Windows I've install Windows 8 on a BootCamp macbook air The problem is that the command key located differently from the winkey in a normal keyboard, therefor, I keep clicking Winkey+Enter which starts the narrator (which is really annoying!)  Is there a way to disable this shortcut? Using "utilize" instead of "use"? I had to immediate shut down, and I lost about 20 unsaved tabs, is there any way to recover these? Which Harry Potter works are considered canon? There are many different Harry Potter works including:   books short stories movies card games video games toys amusement parks web content   Which ones are considered to be canon? USB composite device driver I am wondering if it possible to create a USB device (in following the device) composed from   a custom circuit (eg arduino) and  a flash storage   in such a manner that the device is recognized as a standard usb flash storage (and as such is operable with standart OS drivers), while said storage holds the utilities to operate with the custom circuit (dispalying the data colled by the circuit); and if so, how?  My first thought was to smack a cheap usb-hub and usb-pen before my circuit but that solution, is not pleasing to me.  My goal is to eliminate the need to carry an extra flash-drive just for the operating software, and use default os drivers, make it plug-and-just-work:   i plug the device in the os (windows) mounts a new flash-drive without needing a special driver is start (manually or via autorun) my custom.exe from that flash-drive i recive data measured by the circuit Sufficient conditions for $x, Ax, A^2x, ...$ being linearly indepedent How to show bibliography alphabetically with biblatex? What are reserved filenames for various platforms? How to create & execute a script file Is there a way to create and execute a script file in Ubuntu 14.04?  Perhaps something like Windows batch files.  Specifically, I mean the default scripting language of the Ubuntu terminal (Bash).  How do you make a text file containing bash commands which will be run by the Ubuntu terminal from the top of the file to the bottom. Do I need to change my ESTA address when visiting the US? I have an ESTA for my visit last Sept to NY and I know it is valid for 2years.  I am going to Las Vegas in May, do I have to update the address at which I will be staying? I have two lightning component placed on one page lightning app. First Component have refresh icon and I set onclick action to refresh Component $A.get('e.force:refreshView').fire(); but this event refresh the whole page instead of First component.  how can refresh only one component on page not all the page ?