How can I left-align the text in a TikZ node
Left alignment in TikZ
Why is Linux's filesystem designed as a single directory tree? Is there a way to see what were the Candidate Execution Plans generated by the Query Optimizer? The Query Optimizer creates more than one possible execution plan. How can I see all the plans generated before the executed one was chosen?   :     The Query Optimizer must analyze the possible plans and choose the one   with the lowest estimated cost.   Please, notice that I'm not talking about , I'm talking about candidate execution plans, the ones that were generated but not selected to be executed.  According to Benjamin Nevarez's article :     The generation of candidate execution plans is performed inside the   Query Optimizer using transformation rules, and the use of heuristics   limits the number of choices considered in order to keep the   optimization time reasonable. Candidate plans are stored in memory   during the optimization, in a component called the Memo.   Would it be possible to visualize the candidate plans rendered the way we can ? I can print with printf as a hex or octal number.  Is there a format tag to print as binary, or arbitrary base? I am running gcc. printf(&quot;%d %x %o\n&quot;, 10, 10, 10); //prints &quot;10 A 12\n&quot; print(&quot;%b\n&quot;, 10); // prints &quot;%b\n&quot; What are these cartridges that many characters have in the Star Wars movies? Admiral Ozzel has them on both sides of his uniform (upper chest).  Most Imperial officers seem to have them.  Han, pictured also here, has three such cartridges on his jacket.  I'd like to make such a jacket and use anything that looks like them.  I figure they are most closely related to cartridges for guns.  (which is what I imagine they are in the films).  But does anyone know the real scoop on them?  What is their purpose in the Star Wars universe?  Admiral Ozzel:    And Han Solo: Can't get rid of header X-Powered-By:Express Since there are  complex numbers (2 dimensions) and quaternions (4 dimensions), it follows intuitively that there ought to be something in between for 3 dimensions ("triernions").   Yet no one uses these. Why is this? Scale-dependent displaying of a layer using OpenLayers plugin? When I am creating a layer in QGIS the layer position/lines does not stay the same when I zoom in closer than, it seems like 1: 1000. I am adding 2 images to explain the problem. The moment I zoom in closer than 1: 1 000 then the original layer does not display correctly anymore.  Please, can you assist in this matter? Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$ I noticed many identical questions on this site relating to equivalent definitions of convexity, see for example , , , , , ,  and there might be more. So I wanted to create a &quot;big list&quot; of equivalent definitions of convex functions, I will start with some equivalent definitions and post my proofs in my answer below. Feel free to add any other equivalent definitions. This question can then serve as an abstract duplicate. Claim. Let $n\in\mathbb N$ and $f\in\mathcal C^1(\mathbb R^n)$. Then the following are equivalent:  $f$ is convex, i.e. $f(\lambda x_1 + (1-\lambda x_2))\le\lambda f(x_1)+(1-\lambda)f(x_2)$ for all $\lambda\in[0,1]$ and $x_1,x_2\in\mathbb R^n$. For all $x,y\in\mathbb R^n$, $\langle\nabla f(x)-\nabla f(y),x-y\rangle\geq0$. For every $x,y\in\mathbb R^n$, $f(y)\geq f(x)+\langle y-x,\nabla f(x)\rangle$. How to install software or upgrade from an old unsupported release? Badges with long names overflow on the profile page What's the difference between Kage Bunshin no Jutsu and Tajuu Kage Bunshin no Jutsu? While the Kage Bunshin no Jutsu seems to be taught, the Tajuu Kage Bunshin no Jutsu is sealed, so nobody can learn the jutsu. Does that mean that there's a difference between these jutsus, aside from the number of Kage Bunshin created?   Or, why was the Tajuu Kage Bunshin no Jutsu sealed away? If there's no other difference, everybody could use this without reading the sealed scroll. How to connect Nokia Lumia 730 to Ubuntu 15.04? My Nokia Lumia 730 (WP8.1) is not getting detected on Ubuntu 15.04.  Can anybody tell me how to fix this? PHP calculating number of days between 2 dates Is the Echo of a Echo Knight actually a creature? I've always been certain that the echo created by an Echo Knight fighter using their 3rd-level feature Manifest Echo is not defined in game terms as a creature, since the description of the echo never explicitly tells it is a creature. But the presence of people believing the echo to be a creature in lieu of the fact that it is immune to all conditions and might make saving throws (game characteristics typically associated with creatures only) brought this doubt to my mind.  from Jeremy Crawford implies it is just an image and not a creature, further confirming that the feature should tell you, but  implies that the echo is an object whilst the feature doesn't explicitly say so. (Included for reference and insight, since tweets are not eligible as official ruling) Is the echo a creature? How can I download free apps without registering an Apple ID? "This Apple ID has not been yet been used before in the iTunes Store. Tap review to sign in, then review your account information."   I keep getting this message when I try to install free apps from App Store. I don't want to give my account info until I actually purchase something.   Can I not download free apps until I provide my account information? My email verification is complete. I'm using an iPhone 3GS logged in to my iTunes account. System of congruences with variable Does a man contain all the genes needed to make a woman? This question is brought on by a Sci Fi novel I am thinking about writing. The plot device involves a colonist in charge of building a population on a new planet who loses his supply of embryos and so forth in the landing. With the artificial "wombs" intact, he populates the planet with clones of himself.  If he wanted to introduce enough variation (without making up new genes, only rearranging) in the population to allow them to be able to reproduce naturally without inbreeding problems, would he be able to? In particular, could he make a woman?  Alternately, could a woman (without a Y chromosome) do the the inverse?  At the risk of introducing bias into the answers, the plot as it stands assumes he is a male and he CAN'T do any of the above and he is restricted to clones. Make the search box return results from all StackOverflowian sites? What will be the trajectory of the given motion If it is given that component of acceleration perpendicular to the velocity of a body has a constant, non-zero magnitude, how can we mathematically prove that the trajectory of the body will be circular?   I have basic knowledge of calculus, vectors and co-ordinate geometry. I can prove that the trajectory of a body in projectile motion is parabolic. I tried to follow a similar method to get an equation of circle but couldn't succeed. I tried forming parametric equations of x and y in terms of time t (the way we proceed when proving the parabolic path of a projectile) but could not reach the conclusion.  Edit: I have edited the question in order to improve it. However I still can not share my work on this question as I had asked the question almost 6 months ago and now I can not find where I tried solving it. Sincerely sorry for that. A mathematically mature introduction to Turing Machines and Computability [reference-request] In the computer science course for mathematicians held at my university Turing Machines have been presented very briefly. So much so that I didn't quite get why they are relevant to mathematics. I did understand what a Turing Machine is, but I feel that the presentation given was (for schedule reasons) quite naive and simplified. So I would like to ask if you can point out a good reference for a mathematically mature introduction to turing machines and computability.