We know that Dumbledore marched and faced Grindelwald on his own. However why did he not do the same for Voldemort before? What was he waiting for or was he afraid of facing Voldemort?
During the First Wizarding War, why didn't Dumbledore just hunt Voldemort down, as he had done with Grindelwald?  By 'hunting down', I mean finding, defeating and imprisoning him, exactly as in Gridelwald's case, and not, say killing him, something which Dumbledore would not do, as the answers to a previous question (as to him not hunting down Death Eaters) show.  Dumbledore knew that Voldemort had delved into the Dark Arts deeper than anyone else in history and hence "had powers he will never have". But he must have also known well that he could have defeated Voldemort at a direct confrontation, given that he had defeated Grindelwald earlier even against the Elder Wand, and now had that same wand at his disposal. He is seen confident about this throughout the series.  At the Battle of the Department of Mysteries, he did not go beyond outweighing Voldemort and forcing him to flee, probably because, by then, he had reasons to suspect that there was more to Voldemort's survival than his physical body, and thus, destroying that body which had Harry's blood without permanently disposing him off would not have been wise.  But why did he not do that at the First Wizarding War? Is it just that they could not track him down, or did he suspect even then that Voldemort had more sinister things about his soul? is there any canon confirmation of the latter suspicion?
Is it true that if $f(x)$ has a linear factor over $\mathbb{F}_p$ for every prime $p$, then $f(x)$ is reducible over $\mathbb{Q}$? We know that $f(x)=x^4+1$ is a .  My question is:     Is it true that if $f(x)$ has a linear factor over $\mathbb{F}_p$ for every prime $p$, then $f(x)$ has a linear factor over $\mathbb{Q}$?   Edit: Thanks for @Jyrki Lahtonen's answer, I want to do some modifications:     Is it true that if $f(x)$ has a linear factor over $\mathbb{F}_p$ for every prime $p$, then $f(x)$ is reducible over $\mathbb{Q}$?   Thanks in advance! How to start git-gui? Select top 10 records for each category I want to return top 10 records from each section in one query. Can anyone help with how to do it?  Section is one of the columns in the table.  Database is SQL Server 2005. I want to return the top 10 by date entered.  Sections are business, local, and feature.  For one particular date I want only the top (10) business rows (most recent entry), the top (10) local rows, and the top (10) features. Is there an IDictionary implementation that, on missing key, returns the default value instead of throwing? why only square root approach to check number is prime Once a lead is converted it automatically creates an account, contact and one opportunity. But in my case i want to display the result without creating an Account. Please provide me with a sample code.  Any help will be appreciated... How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? Why did the Resistance automatically assume the use of this tech in The Last Jedi? SHA-256 "almost unique"? I have seen numerous references on the internet of people describing SHA-256 as generating an "almost unique" hash.  . there are more.  Is there some mathematical basis to the almost uniqueness? I would have thought that as SHA-256 is an evenly-distibuted (?) hash algorithm which can accept any message (infinitely many) as an input and produces a fixed length (finite) hash - then there will in fact be an infinite number of each possible output - which I would think hardly qualifies as "almost unique".  Is there a basis for this statement? Fake a webcam using a video loopback device? I want to use a looped video clip as my webcam source in a Google+ Hangout. I installed v4l2loopback and created a . But I haven't figured out how to write the video frames to the device. The given  is:  gst-launch videotestsrc ! v4l2sink device=/dev/video1   So after reading the manual page for gst-launch and trying to understand what was going on, I made my feeble attempt:  sudo gst-launch-0.10 filesrc location=/home/briankb/Videos/darthvaderdancing.mp4 ! v4l2sink device=/dev/video0   Which resulted in:  Setting pipeline to PAUSED ... libv4l2: error getting pixformat: Invalid argument Pipeline is PREROLLING ... Pipeline is PREROLLED ... Setting pipeline to PLAYING ...  (gst-launch-0.10:12622): GStreamer-CRITICAL **: gst_caps_get_structure: assertion `GST_IS_CAPS (caps)' failed New clock: GstSystemClock  (gst-launch-0.10:12622): GStreamer-CRITICAL **: gst_structure_get_name: assertion `structure != NULL' failed Caught SIGSEGV accessing address (nil) #0  0x00007fc1890f0b03 in poll () from /lib/x86_64-linux-gnu/libc.so.6 #1  0x00007fc18962bff6 in ?? () from /lib/x86_64-linux-gnu/libglib-2.0.so.0 #2  0x00007fc18962c45a in g_main_loop_run () #3  0x00007fc189b5c4cb in gst_bus_poll () #4  0x0000000000404587 in ?? () #5  0x0000000000403c34 in ?? () #6  0x00007fc18902b76d in __libc_start_main () #7  0x00000000004043bd in ?? () #8  0x00007fff88253ed8 in ?? () #9  0x000000000000001c in ?? () #10 0x0000000000000006 in ?? () #11 0x00007fff882548c4 in ?? () #12 0x00007fff882548d4 in ?? () #13 0x00007fff882548dc in ?? () #14 0x00007fff88254904 in ?? () #15 0x00007fff88254906 in ?? () #16 0x00007fff8825490f in ?? () #17 0x0000000000000000 in ?? () Spinning.  Please run 'gdb gst-launch 12622' to continue debugging, Ctrl-C to quit, or Ctrl-\ to dump core.   The clip I'm trying to use an h264 video at 29.97 fps, 320x240, and in an mp4 container (it's from Youtube). What does `mv ./*` without specifying destination do? I accidentally forgot to specify destination before hitting the Return key. Where does mv ./* without specifying destination move the files and directories under current directory to? Is "performance" singular or also plural? What conditions are necessary for a Wither Skeleton to spawn naturally, and can I manipulate those conditions to increase the chance of them spawning?  I want to make a Wither Skeleton spawning pad in the Nether but I'm having trouble finding Wither Skeletons. I've only heard that they spawn in Nether Fortresses. "Most importantly" or "more importantly"? Which of the following two sentences is more correct?   "A picture says a thousand words, more importantly in a fraction of a second"    OR   "A picture says a thousand words, most importantly in a fraction of a second"   Nothing important, just my own quotes! Do also suggest, if I can put it in a better way to express what I want to. Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$ Evaluating $$\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$$   I had read the , but it doesn't work. How can super massive black holes have a lower density than water? I heard on a podcast recently that the  at the centre of some galaxies could have densities less than water, so in theory, they could float on the substance they were gobbling up... can someone explain how something with such mass could float?  Please see the below link for the podcast in question: Search for a string in all tables, rows and columns of a DB Do the topologies with the same convergent sequences coincide? Do the same sequential convergence in two topologies the result are the same topologies? Let $X$ be topological  space with topologies $\tau$, $\tau'$. Let $(x_{n})\in X$ and $x\in X$ and $(x_{n})\rightarrow x$ with $\tau$ if and only if $(x_{n})\rightarrow x$ with $\tau'$. Do the two topologies on $X$ coincide? There seems to be some bug where mac os is constantly contacting . You can prevent it by turning off the wifi, but then your computer is nothing more than a fancy calculator. Is there a program, vpn, or even the firewall option, to block this site from the whole os? My initial problem was that my computer wouldn't let me login to my account. It seems to shut down after I enter my password. I can login as a guest.  I found fixes but I can't remember / figure out my login for access after I hit Ctrl+Alt+F1 and most of the fixes for finding your login username depend on you having access to your account.  I thought the login was the name which appears on the screen when I start the computer normally, but this has not worked, is there another way to find out my username while being effectively locked out of my root-user profile?  I am also assuming that the password is the same one I always use.  Conversely, if the name which appears on the screen at startup and my normal password should have worked, is there another explanation for why I am not able to login on the black command screen.