How to solve $\dot x(t) = x(2t)$
What function satisfies $F'(x) = F(2x)$?
I often end up issuing complex commands over ssh; these commands involve piping to awk or perl one-lines, and as a result contain single quotes and $'s.  I have neither been able to figure out a hard and fast rule to do the quoting properly, nor found a good reference for it.  For instance, consider the following:  # what I'd run locally: CMD='pgrep -fl java | grep -i datanode | awk '{print $1}' # this works with ssh $host "$CMD": CMD='pgrep -fl java | grep -i datanode | awk '"'"'{print $1}'"'"   (Note the extra quotes in the awk statement.)  But how do I get this to work with, e.g. ssh $host "sudo su user -c '$CMD'"?  Is there a general recipe for managing quotes in such scenarios?.. Why getting this error tlmgr Unknown directive? I haven't used tlmgr for a while but when I tried to install any package with it today, It returned following message:     (running on Debian, switching to user mode!) Unknown directive ...containerchecksum c59200574a316416a23695c258edf3a32531fbda43ccdc09360ee105c3f07f9fb77df17c4ba4c2ea4f3a5ea6667e064b51e3d8c2fe6c984ba3e71b4e32716955... , please fix it! at /usr/share/texlive/tlpkg/TeXLive/TLPOBJ.pm line 210,  line 5579.   I've tried to use fix specified on :     You have to download update-tlmgr-latest.sh from the tlpretest repository   and run it. Afterwards you will be able to work with tlmgr as usual   (announced by Norbert a few hours ago).   I've downloaded it from , but it returned another error:  Verifying archive integrity... All good. Uncompressing TeX Live Manager Updater............................................................................................................................................................................ ./runme.sh: Cannot find TeX Live root using kpsewhich --var-value=SELFAUTOPARENT. ./runme.sh: Please set your PATH as needed, otherwise it's hopeless.   Minimum example  Install cleanly vanilla TeXLive 2016 with tmlgr after having old TeXLive in the system successfully: there is no errors/warnings in /usr/local/texlive/2016/*.log, complete log example . Run the following but you get the same output as above when trying to update the system  root@masi:/home/masi/Downloads/t/install-tl-20161019# tlmgr update --self (running on Debian, switching to user mode!) Unknown directive ...containerchecksum c59200574a316416a23695c258edf3a32531fbda43ccdc09360ee105c3f07f9fb77df17c4ba4c2ea4f3a5ea6667e064b51e3d8c2fe6c984ba3e71b4e32716955... , please fix it! at /usr/share/texlive/tlpkg/TeXLive/TLPOBJ.pm line 210, &lt;$retfh&gt; line 5579. Proof that the coefficients in an OLS model follow a t-distribution with (n-k) degrees of freedom A few weeks back I was using std::ifstream to read in some files and it was failing immediately on open because the file was larger than 4GB. At the time I couldnt find a decent answer as to why it was limited to 32 bit files sizes, so I wrote my own using native OS API.  So, my question then: Is there a way to handle files greater than 4GB in size using std::ifstream/std::ostream (IE: standard c++)  EDIT: Using the STL implementation from the VC 9 compiler (Visual Studio 2008).  EDIT2: Surely there has to be standard way to support file sizes larger than 4GB. How much electronics and other valuables can I bring duty-free when going to India? I am planning to travel to India (COK airport, Kerala) from United States. I want to take my laptop as well as my tablet (iPad). Am I allowed to take both in my backpack with my documents related my work. I think I am allowed to take only one computer as per the rule. Will the customs consider my iPad as a computer?  What all I can take?   One of my friends took 2 laptops (1 work and 1 personal) and had trouble at the airport.  Also I am planning to take some wristwatches (7 of them, each avg price is 45 $). I read in a website that I can take stuff up to max 35000 INR. Is that true? In that case, how will I manage my stuff? Why does SQL Server use a better execution plan when I inline the variable? How do you mass-delete emails in iOS Mail? I don't know if this is documented anywhere, but just to bring it to current attention… Can a single vertex be rotated? In the duplication options for the dupli verts there is a option for Rotation. Witch brings me to my question, is there anyway to rotate a vertex? Vertex's have normals, is there any way to control which way the normal of a single unconnected vertex points? As part of graduating from Area51 and becoming a full fledged site we sometimes change domain names from http://topic.stackexchange.com to http://example.com. Aside from the obvious 301 redirect rules to support existing urls transparently, are there other techniques that would aid in the preservation of SEO? We were given the following problem as an assignment, we proved the converse in class for prime numbers; however, we can't use the assumption that $\operatorname{gcd}(a,b) = 1$.  So I am struggling to think of my first possible move.  We are given $ar + bs = 1$, the only think I can think of is let $d$ be a common divisor or $ar + bs$ and then show that the $d = 1$.  However, I am not really sure how to do that.  If anyone could just give me a hint or two to nudge me in the right direction I would be appreciative. Is there a way to start a PC with Ubuntu from the Keyboard? Because my button &quot;Power&quot; is broken. I'm currently writing an import script/addon.  The file format is one vertex per line: x, y, z, u, v With 3 lines for each triangle (no quads).  So far I've got vertex's, edges and faces all importing correctly.  Now I just need to import the UV coordinates for each vertex.  However I'm having trouble trying to find a way to do this.  The best result so far was copying code from the UV operator template, which gave me a UV Map, but it puts the whole model at one point. Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis How do I compute      $$\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$$   What I am doing is take   $$f(z)=\frac{(\log z)^2}{1+z^2}$$  and calculating   $\text{Res}(f,z=i) = \dfrac{d}{dz} \dfrac{(\log z)^2}{1+z^2}$ which came out to be $\dfrac{\pi}{2}-\dfrac{i\pi^2}{8}+\dfrac{i\pi}{2}$  Im not too sure how to move on from here. the given answer is $\dfrac{\pi^3}{8}$  Any help will be appreciated. thank you in advanced. Do I need a transit visa for a technical stop in Australia? I'm travelling to New Zealand, and my itinerary mentions a technical stop in Australia.  Will I need to apply for an Australian transit visa for this? How can I use Bengali script in an English document? Let $G$ be a group and $H$ be a subgroup of $G$ of index $2$ .Then show that if $a,b\notin H$ then $ab\in H$. Why is Outlook 2010 Changing my Embedded Spreadsheet to a GIF? Years ago I figured out how to embed a spreadsheet in an Outlook email to automate a task I do regularly.  Whenever I want to send a new quote request I open an old email, tell Outlook I want to resend it, fill in the new values in my embedded spreadsheet and then send it off.  This method worked well for years.  After switching to a new computer however, I have found that when I open the latest emails I have sent, I cannot edit the embedded spreadsheet because Outlook interprets it now as a GIF.  Saved emails that I sent with the old computer however, still work fine - I can still open, edit and resend and Outlook interprets the embedded spreadsheet correctly.  I would like to figure out how to setup Outlook in the new PC correctly so that the embedded spreadsheet is interpreted correctly when the email is reopened. Some sort of security setting, maybe?  Any help anyone could provide would be appreciated.  Edit: I developed the spreadsheet originally in Excel. Then I went into Outlook, created a new email, did Insert->Object->Excel Spreadsheet. At that point I had a blank spreadsheet in my email. Then I copied and pasted the spreadsheet from Excel into the blank spreadsheet in Outlook and it worked perfectly (until this recent problem) Smooth structure of embedded submanifolds Handling very large numbers in Python How can I left-align a caption?