I bought it at, I bought it on, I bought it from
Bought in, bought on, bought from, bought at?
If I don't want to set any special behavior, is it OK if I don't bother to have a robots.txt file? How to set default magnification for all windows inequality on the unit disk $n$ points $z_1,z_2,\cdots,z_n$ in the unit open disk are given. Prove or disprove that there exists $z$ in the unit circle such that $\prod_{i=1}^n |z-z_i|^i \ge 1$.  I think it can be solved by elementary analytic methods but no idea. Word for "willing to try new and unfamiliar things" Example:  A: Hey, do you like to do bungee jumping? B: Um, OK. Haven't done it before, but let's try it.  I'm not looking for adventurous or something similar. That word should also fit in less action-packed activities:  A: I have a new board game. Do you like to play? B: I don't know this game and, actually, I don't like these varieties of games but I'll play. Maybe it's fun.  First I thought about open-minded but I think this means more willing to listen to people, think about their ideas, arguments, ... and accept them (not necessarily agree). What word describes person who is willing to try activities he doesn't know or hasn't experienced before? Can I use Beetel 450TC1 as wireless router? Mandatory excerpt for custom post type Prove that any two consecutive terms of the Fibonacci sequence are relatively prime Prove that any two consecutive terms of the Fibonacci sequence are relatively prime.   My attempt:    We have $f_1 = 1, f_2 = 1, f_3 = 2, \dots$, so obviously $\gcd(f_1, f_2) = 1$. Suppose that $\gcd(f_n, f_{n+1}) = 1$; we will show that $\gcd(f_{n+1}, f_{n+2}) = 1$. Consider $\gcd(f_{n+1}, f_{n+2}) = \gcd(f_{n+1}, f_{n+1} + f_n)$ because $f_{n+2} = f_{n+1} + f_n.$ Then $\gcd(f_{n+1}, f_{n+1} + f_n) = \gcd(f_{n+1}, f_{n}) = 1$ (gcd property).  Hence, $\gcd(f_n, f_{n+1}) = 1$ for all $n &gt; 0$.  Am I on the right track? Any feedback would be greatly appreciated.  Thanks, Can anyone explain precisely what IOWait is? I'm not sure how to go about this. Does it involve using MVT?  I got as far as saying $e = \frac{e^x - e^y}{x-y}$. Prove: If $a\mid m$ and $b\mid m$ and $\gcd(a,b)=1$ then $ab\mid m$ It is fine to say that for an object flying past a massive object, the spacetime is curved by the massive object, and so the object flying past follows the curved path of the geodesic, so it "appears" to be experiencing gravitational acceleration. Do we also say along with it, that the object flying past in reality exeriences NO attraction force towards the massive object? Is it just following the spacetime geodesic curve while experiencing NO attractive force?  Now come to the other issue: Supposing two objects are at rest relative to each other, ie they are not following any spacetime geodesic. Then why will they experience gravitational attraction towards each other? E.g. why will an apple fall to earth? Why won't it sit there in its original position high above the earth? How does the curvature of spacetime cause it to experience an attraction force towards the earth, and why would we need to exert a force in reverse direction to prevent it from falling? How does the curvature of spacetime cause this?  When the apple was detatched from the branch of the tree, it was stationary, so it did not have to follow any geodesic curve. So we cannot just say that it fell to earth because its geodesic curve passed through the earth. Why did the spacetime curvature cause it to start moving in the first place? How do I turn on workspaces? (Why do I only have one workspace?) It appears that Unity on Raring only comes with a single virtual desktop (aka workspaces) by default, and CCSM's Wall plugin has no way to add more. Is this configurable at all? Include the option to flag posts as spam in the Low Quality queue I guess this is an additional to previous requests like  and .  But I just came across  review item, and was unable to flag it as spam.  edit: Since I posted this, the item has been removed (deleted) here is a screenshot: Vim inoremap for specific filetypes Unbiased Estimator for a Uniform Variable Support Let $ x_i $ be iid observations in a sample from a uniform distribution over $ \left[ 0, \theta \right] $.  Now I need to estimate $ \theta $ based on $N$ observations and I want the estimator to be unbiased.  I thought about simple estimator $ \hat{\theta} = \max \left( x_i \right) $.  Based on simulation it is not biased, yet I couldn't show it analytically.  Could anyone, please, show it is unbiased?  BTW, I could easily find another, easy to prove, unbiased estimator, $ \hat{\theta} = 2 \mathrm{mean} \left( {x}_{i} \right) $ A Hollow Black Hole I was just reading a . It was a trivial question, obviously there is no force felt. But then it got me thinking.  Suppose you had a hollow sphere that was massive enough that outside of it, it became a black hole. It's not hard to imagine a situation where the magnitude of the force of gravity at the surface (while strong) is equal to the magnitude of the force on the particles of the sphere due to some phenomenon involving one of the other 3 forces (just so I can allow this hollow sphere to continue being hollow).  Obviously, I don't have to do the integral to know that any object inside the hollow would experience no net gravitational force due to the shell. However, being a few months short of General Relativity, I am curious to know whether there would be any effects from Gravity observed.  Would an observer inside experience any time dilation? There may not be any net force due to gravity, but one cannot deny that there are still some fairly powerful gravitational fields present that happen to superimpose to zero. Furthermore, (assuming a relatively massless observer) would they have access to any of the information that was "lost" in the black hole? If so, then if they were long-lived enough for the black hole to be able to evaporate around them, does this mean that not only would the black hole radiate that information, but it would also store a copy of it in the hollow?  I want to apologize in advance. I know this question seems a bit more like a discussion than a Q&amp;A thing.  To be clear, I am asking: In my scenario, would there be any effects of gravity on things in the hollow? And would information lost in the black hole be accessible to the hollow (which is essentially its own isolated bubble of the universe)? A good answer can address these two questions. If you want to add in your own opinions/contribute to a discussion about it, that'd be a bonus. SEO repeated keywords in domain and url I am running Ubuntu 20.04 an  with an NVIDIA GeForce GTX 1660TI GPU. According to , the driver version for this GPU is 430. When I first installed Ubuntu, I installed 440. I'm now trying to correct that and install 430. I ran sudo apt-get install nvidia-driver-430, and then did a reboot. When I examined nvidia-smi, though, it still showed the 440: +-----------------------------------------------------------------------------+ | NVIDIA-SMI 440.100      Driver Version: 440.100      CUDA Version: 10.2     | |-------------------------------+----------------------+----------------------+ | GPU  Name        Persistence-M| Bus-Id        Disp.A | Volatile Uncorr. ECC | | Fan  Temp  Perf  Pwr:Usage/Cap|         Memory-Usage | GPU-Util  Compute M. | |===============================+======================+======================| |   0  GeForce GTX 166...  Off  | 00000000:01:00.0 Off |                  N/A | | N/A   55C    P0     9W /  N/A |      0MiB /  5944MiB |      0%      Default | +-------------------------------+----------------------+----------------------+  What is the appropriate way of updating this driver? How to repair a corrupted Excel file I'm trying to restore some files for a friend who messed up a USB stick by pulling it out of the computer too soon. By searching invisible partitions I was able to restore the files. All files are intact, except 1 excel file that seems to be corrupted.  I've googled about ways to repair an Excel file, because the default repair options in Excel 2003-2010 do not work for this file. I've came across a numerous  third-party apps, of which the  one seemes to be able to do the job: Recovery Toolbox for Excel.  Of-course, this and all other apps I found require a purchase to actually repair the file. It seems a bit silly to pay 30 dollars for a one time thing, and something that is not for myself. So, I would like to keep that as a last-resort option.  Is there anything I can try to fix this? I've attached a screenshot of how the file looks when I open it on my OSX when converted to a HTML file (to view the code), for  the option that it could be a character set problem. How do I do this? I created a user without a home directory and now I want to create one. Not just a folder called new_user, I want the default home directory with all it's folders and hidden files, etc.