re-parenting to screen two processes joined by pipe
Moving an already-running process to Screen
How do I rip audio from a DVD? Q. Find all pairs $(p,n)$ of positive integers where $p$ is prime and $p^3-p=n^7-n^3$.   Rewriting the given equation as $p(p+1)(p-1)=n^3(n^2+1)(n+1)(n-1)$, we see that $p$ must divide one of the factors $n,n+1,n-1,n^2+1$ on the $\text{r.h.s}$.   Now, the $\text{l.h.s}$ is an increasing function of $p$ for $p\ge1$. This implies that for any given $n\ge1$, there is exactly one real $p$ for which $\text{l.h.s}=\text{r.h.s}$. For $p=n^2$, we get $\text{l.h.s}=n^6-n^2&lt;n^7-n^3=\text{r.h.s}.$ This means that either $p&gt;n^2$ or $p&lt;n^2$ must hold.  Assuming $p&gt;n^2$, it follows that the prime $p$ cannot divide any of $n,n+1,n-1$. So $p$ must divide $n^2+1$ and hence $p=n^2+1\quad (\because p&gt;n^2)$.  Substituting the value of $p$ in the given equation we get, $n^2+2=n^3-n\implies n^3-n^2-n=2$. As the factor $n$ on the $\text{l.h.s}$ must divide $2$, the above equation has a unique integer solution $n=2$.  Finally, we get $(5,2)$ as the solution to the given equation.      But how do I conclude this is the only solution possible? Also, why does'nt $p&lt;n^2$ (the case which I ignored) hold? As a bonus question, I would like to ask for any alternative/elegant solution (possibly using congruence relations) to the problem. Suppose $u\in W^{1,1}$ and $\partial u$ is $C^1$. I want to prove the following: $$\int_{\partial\Omega}|u-\bar u|\leq A\int_{\Omega}|\nabla u|$$ where $\bar u=\frac{1}{|\Omega|}\int_{\Omega}u$ and $A&gt;0$. Note that unlike Poincar&eacute; inequality, the left integral is over $\partial\Omega$ and not $\Omega$. How can I do that?  I tried to prove in a similar way to Poincare inequality proof (arguing by contradiction), but with no success. I think I am missing something because of the  $\partial\Omega$ issue. I am flying to Tokyo in November, and I have the choice to go direct (paying extra) or transit via Seoul. Is 6 hours transit time enough to leave Incheon airport for a bit to see something of Seoul? It might make my trip more worthwhile to see something of South Korea too. I don't know much about the busyness of the airport around this time, and travel time between the airport and the city, so that's why I am asking. Why isn't temperature frame dependent? In (non-relativistic) classical physics, if the temperature of an object is proportional to the average kinetic energy ${1 \over 2} m\overline {v^{2}}$of its particles (or molecules), then shouldn't that temperature depend on the frame of reference - since $\overline {v^{2}}$ will be different in different frames?  (I.e. In the lab frame  $K_l = {1 \over 2} m\overline {v^{2}} $, but in a frame moving with velocity $u$ relative to the lab frame, $K_u =  {1 \over 2} m \overline {(v+u)^{2}}$). Evaluate forecasting ability of GARCH models with RMSE and MAE Redirect non-www requests to www on Amazon Route 53 I want to redirect all requests from example.com to www.example.com.   Preferably, this should happen at DNS level. I tried using PTR records, but that simply fails, returning a 404.  wwww.example.com is an ALIAS for an Elastic Load Balancer.  What’s the simplest way to achieve this? Sentences with "no one" Inductive proof of the closed formula for the Fibonacci sequence Gamma Distribution out of sum of exponential random variables Similar to this question  and an fellow up on this one    What was the official reason by Canonical to axed the project when it was love by some many of their users and innovative? How to add shortcut keys for java code in eclipse How to extract the boundary of a raster image? Linux genisoimage Batch Ubuntu 18.04 opening system setting logs me out I've recently installed Ubuntu 18.04 in a dual-boot configuration with Windows 10. I noticed today that, when trying to open system settings, Ubuntu seems to log me out to the lock screen. When I log back in, all previously-running applications are now closed. Very unsure what to do from here, any help much appreciated. Evaluating $\int \sqrt{1 + t^2} dt$? How do we solve (i.e. get the closed form of) $\int \sqrt{1 + t^2} dt$ ?   shows the closed form of it but not the steps in solving it.  I think I need some algebraic trick..   I thought of some hyperbolic functions and their derivatives and equalities:  If I make $ t = \sinh x$, then I can reduce the integral to  $$ \int \cosh ^2 x dx $$ though I'm not sure if this is valid. But from here, I cannot go on evaluating the integral... Evaluation of $\displaystyle \int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$   $\bf{My\; Try::}$ Let $\displaystyle I = \int_{0}^{1}\frac{x\ln x}{\sqrt{1-x^2}}dx\;,$ Put $x=\cos \phi\;,$ Then $dx = -\sin \phi d\phi$  and Changing Limit, We get  $$\displaystyle I = -\int_{\frac{\pi}{2}}^{0}\cos \phi \cdot \ln(\cos \phi )d\phi = \int_{0}^{\frac{\pi}{2}} \ln(\cos \phi)\cdot \cos \phi d\phi$$  Now Using Integration by parts, We get  $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\int_{0}^{\frac{\pi}{2}}\frac{\sin^2 \phi}{\cos \phi}d\phi$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\int_{0}^{\frac{\pi}{2}}\frac{(1-\cos^2 \phi)}{\cos \phi}d\phi$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\int_{0}^{\frac{\pi}{2}}\sec \phi d\phi-\int_{0}^{\frac{\pi}{2}}\cos \phi d\phi$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\left[\ln\left|\sec \phi+\tan \phi\right|\right]_{0}^{\frac{\pi}{2}}-\left[\sin \phi\right]_{0}^{\frac{\pi}{2}}$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\left[\ln\left|\sec \phi+\tan \phi\right|\right]_{0}^{\frac{\pi}{2}}-1$$  Now How can I solve after that, Help Required, Thanks E: Package 'guile-1.8-dev' has no installation candidate this is an error i got I have apt-get 0.7.23.1 on host machine. I do not have root, thus not able to update it, or install other packages.  I want to download .deb packages with it, but neither  apt-get -d bash   (Invalid operation bash)  nor  apt-get -d install bash   (do not have root)  work.  On my home machine with a newer version of apt-get I can  apt-get download bash   and it does exactly what I want it to.  How can I perform the same on the host machine? Is there any decent speech recognition software for Linux? The short version of the question: I am looking for a speech recognition software that runs on Linux and has decent accuracy and usability. Any license and price is fine. It should not be restricted to voice commands, as I want to be able to dictate text.  More details: I have unsatisfyingly tried the following:       (e.g., )  (used to run  on Linux but was discontinued years ago)      (built on the Kaldi speech recognition toolkit)    +  +  +   : only accepts voice commands  All the above-mentioned native Linux solutions have both poor accuracy and usability (or some don't allow free-text dictation but only voice commands). By poor accuracy, I mean an accuracy significantly below the one the speech recognition software I mentioned below for other platforms have. As for Wine + Dragon NaturallySpeaking, in my experience it keeps crashing, and I don't seem to be the only one to have such issues unfortunately. On Microsoft Windows I use Dragon NaturallySpeaking, on Apple Mac OS X I use Apple Dictation and DragonDictate, on Android I use Google speech recognition, and on iOS I use the built-in Apple speech recognition. Baidu Research released  the  for its speech recognition library using  implemented with Torch. Benchmarks from  are encouraging as shown in the table below, but I am not aware of any good wrapper around to make it usable without quite some coding (and a large training data set):      System Clean (94) Noisy (82) Combined (176)     Apple Dictation 14.24 43.76 26.73   Bing Speech 11.73 36.12 22.05   Google API 6.64 30.47 16.72   wit.ai 7.94 35.06 19.41   Deep Speech 6.56 19.06 11.85     Table 4: Results (%WER) for 3 systems evaluated on the original audio. All systems are scored only on the utterances with predictions given by all systems. The number in the parentheses next to each dataset, e.g. Clean (94), is the number of utterances scored.  There exist some very alpha open-source projects:   (part of Mozilla's Vaani project:   ())  Vox, a system to control a Linux system using Dragon NaturallySpeaking:  +     (to be released by Google, mentioned at Interspeech 2018)  I am also aware of this  as well as this .  I am aware of  , which allows speech recognition via Dragonfly on one computer to send events to another, but it has some latency cost:  I am also aware of these two talks exploring Linux option for speech recognition:   (David Williams-King)  (Tavis Rudd) Would spending one more year as an undergraduate adversely affect my chances of getting into a graduate program?   I wasn't really thinking about economics PhD until recently so my GPA is not too impressive and I lack in math courses so I've decided to spend one more year to boost my GPA taking upper level courses and get a math minor.  However, could the very fact of spending one more year to finish college be a disadvantage of getting into a graduate program?