How to find this integral $\int_{0}^{1}\ln\ln\bigl(1/x+\sqrt{(1/x^2)-1}\,\bigr)dx$
Closed form for $\int_0^1\log\log\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}-1}\right)\mathrm dx$
I have found a strange behavior in TikZ. When using the \draw ... to ... syntax and trying to place nodes along the line with the node[...]{...} syntax, the nodes do not turn up at the expected location.  \documentclass{standalone} \usepackage{tikz} \begin{document} \begin{tikzpicture}   \draw(0,0) to[out=60,in=120] (1,0) node[midway]{x}; \end{tikzpicture} \end{document}     How is this done properly? How to use sed to replace only the first occurrence in a file? I would like to update a large number of C++ source files with an extra include directive before any existing #includes. For this sort of task, I normally use a small bash script with sed to re-write the file.   How do I get sed to replace just the first occurrence of a string in a file rather than replacing every occurrence?  If I use  sed s/#include/#include "newfile.h"\n#include/   it replaces all #includes.   Alternative suggestions to achieve the same thing are also welcome. Given $E[Y]=1$ , $E[Y^2]=2$ and $E[Y^3]=5$, Y non negative integer random variable, find min of $P[Y=0]$ Can I export Shotwell pictures database saving all the tags? I've imported lots of pictures into Shotwell and spent some time setting tags. Are those tags locked-in in Shotwell or I can export them (and import again or use with other software)? Are InnoDB Deadlocks exclusive to INSERT/UPDATE/DELETE? Bluetooth headset never gives me sound options How do I get a list of all subdomains of a domain? I want to find out all the subdomains of a given domain. I found a hint which tells me to dig the authoritative Nameserver with the following option:  dig @ns1.foo.bar some_domain.com axfr   But this never works. Has anyone a better idea/approach How can I type "lambda-bar"? How to download a whole FTP site using command line? I need to download an FTP site (a web site source code actually) containing a very high quantity of relatively small files (downloading it with FileZilla took more than a day, but I believe it could be downloaded much faster if many files were downloaded at once). Unfortunately there is no SSH access to the site and no way to archive the files on the server side.  So at least the question is how to download a whole FTP site into a folder using command line tools. A better it'd be if the download could be parallelized by downloading many files simultaneously instead of one by one. Is there anywhere within the Blender UI that displays the dimensionality &amp; bounding sets (e.g., all floats, floats in [0,1], floats in [0,255], etc) of arbitrary shader node inputs &amp; outputs?  I consistently find myself digging through stackexchange/the Blender docs/experimenting with less-than-equal-to to try to figure out what I need to divide by to normalize shader nodes' input/output values to within a specific range, or to center them at 0, etc. This seems like functionality that Blender's very rich UI might already have built into it, though, so I am wondering if I am just overlooking it somewhere.  As an example, I can do something like this, varying the threshold between 0, 0.5, and 1, and observing that in rendered view my sphere switches from all black to mixed black/white to all white, to convince myself that Blender's (Perlin) Noise Texture's Fac output naturally outputs floats in [0,1]:    But it seems odd that I should have to experiment, or search through docs or stackexchanges, to discover something like this. Is this information maybe already neatly displayed somewhere inside the Blender UI, and I just don't know where to look? Converting *.tif file into headerless (flat) binary file? I am using NDVI files (value range -1 to +1) created from Landsat CDR images to produce a timeseries in TIMESAT software.   My  .tif file has following characteristics.  File type  TIFF,Data Type  Double Precision, Byte Order Host (Intel), Interleave BSQ  As per the requirement of TIMESAT, the image should be headerless(flat) binary file, and values can be stored as 8 bit integer(0-255), 16 bit signed integer(-32767 to +32768) or 32 bit real.   Now i need to change my data type into any of these 3 format and .tif file into headerless binary files.   Any idea? I’m reading Shakespeare’s Henry IV (Part 1) right now and I’m noticing that Sir John Falstaff has a propensity of saying “If this, then I’m a this” sort of statements. A few examples to clarify:     … An I   have not ballads made on you all and sung to filthy   tunes, let a cup of sack be my poison      An I have not   forgotten what the inside of a church is made of, I   am a peppercorn, a brewer’s horse      if manhood, good manhood, be   not forgot upon the face of the earth, then am I a shotten herring      If I do not beat thee out of thy   kingdom with a dagger of lath, and drive all thy   subjects afore thee like a flock of wild-geese,   I’ll never wear hair on my face more   Is there a particular literary term for these sort of sentences? Two footnotes in a heading, only one is displayed at the end of the page I'm adding two footnotes to a section heading:  \documentclass{article} \usepackage[english]{babel} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{lipsum}  \usepackage[stable]{footmisc}  \usepackage{titlesec}  \begin{document} \section{test \footnote{This is footnote no1.} \footnote{This is footnote no2.} } \lipsum[4] \end{document}   The heading will have both of the footnotes, but at the end of the page only the second is displayed. The problem appears to be \usepackage{titlesec}, because it works fine without it.    Stuff I specified in \usepackage{titlesec}:  \renewcommand\thesection{\arabic{section}}  \renewcommand\thesubsection{\arabic{subsection}}  \renewcommand\thesubsubsection{\arabic{subsubsection}}  \titleformat{\section}[block]{\Large\scshape\centering}{\thesection}{1em}{}  \titleformat{\subsection}[block]{\large\scshape}{\thesection.\thesubsection}{1em}{}  \titleformat{\subsubsection}[block]{\large\scshape}{\thesection.\thesubsection.\thesubsubsection}{1em}{}   Thanks in advance! Pass shell variable as a /pattern/ to awk The title says it all, just wondered if accessing the iOS will count towards your consecutive visited days. Rights if we possess Carta di Soggiorno? I have searched the internet but could not find specific information so if we have got the following document "Carta di Soggiorno di Familiare di Un Cittadino Dell'Unione" (Residence Card of a family member of a Union Citizen, Italy) issued by the Italian authority, what rights do we possess of working inside Italy and EU? What about travelling? Will we be requiring visas for the states which are are not in Schengen? Can anyone provide me with (or point me to) real life gravitational lensing data that I can plug in to the first equation on this page (the standard lensing equation):   together with the luminous mass and distance to the galaxy(s).  I've looked for papers online and have not found any simple data that can be readily plugged in to the equation (I am not familiar with the details of how exactly the lensing is measured and have gotten lost in the mountains of data in the papers).  Thanks How can we find premade adventures for a virtual tabletop? Me and a couple of friends are just getting into P&amp;P rpgs and are really excited to try something new. However, we have a problem that we live quite far apart from each other. Therefore we'd like to use one of excellent virtual tabletops that are available. But none of us have any real experience with creating an adventure and would thus like to use a premade and beginner friendly adventure. But we're having a hard time finding one with premade story, maps etc in an online format. Most seem to be printed books and the Roll20 marketplace hasn't really gotten started yet. So what we're looking for a is online way to play a premade adventure to get us started in the RPG world.  How can we find these adventures for a VTT? Do an action and its Euler-Lagrange equations have the same symmetries? Assume a certain action $S$ with certain symmetries, from which according to the Lagrangian formalism, the equations of motion (EOM) of the system are the corresponding Euler-Lagrange equations.  Can it happen that the equations of motion derived by this procedure have different kinds and/or numbers of symmetries than the action one has started with? And if yes, are there underlying principles that state why which kind of symmetries the action does not have can emerge in corresponding EOMs or which kind of symmetries of the action can potentially disappear in the EOMs derived from the Euler-Lagrange equations? Cooperative game vs Multiplayer game Can any one tell what is difference between cooperative game and multiplayer game?