Cover letter for applying via Email
In email applications should the text of the cover letter be stated directly in the email or be attached in a separate file?
How can I prove that the set of all functions from $\mathbb{N} \to \{0, 1\}$ is uncountable?  Edit:  This answer came to mind.  Is it correct?  This answer just came to mind.  By contradiction suppose the set is $\{f_n\}_{n \in \mathbb{N}}$.  Define the function $f: \mathbb{N} \to \{0,1\}$ by $f(n) \ne f_n(n)$.  Then $f \notin\{f_n\}_{n \in \mathbb{N}}$. How to change boot priority? I have a laptop with Ubuntu installed as the only OS. I also have a USB stick with a Windows 7 installation on it. I want to install Windows from the USB stick on my laptop but when I try to restart the laptop to get access to BIOS, I can't seem to find the command for it, its like it skips everything and just says Ubuntu and then takes me to the login screen.  How do I change the boot priority to USB in Ubuntu? Difference between ulimit, lsof, cat /proc/sys/fs/file-max I've been getting java.io.IOException: Too many open files while running a Kafka instance and using one topic with 1000 partitions so I started investigating the file descriptors limits in my ec2 vm. I cannot understand which is exactly the limit for open files on a Centos 7 machine since all the following commands produce different results. The commands are:   ulimit -a: open files 1024 lsof | wc -l: 298280 cat /proc/sys/fs/file-max: 758881 (which is consistent with /proc/sys/fs/file-nr)   If the actual limit is the one the last command produces then I am well below it (lsof | wc -l: 298280). But if this is the case, the output of the ulimit command is quite unclear to me since I am well above the 1024 open files.   but are there all these seemingly "inconsistencies" between these commands? What happens when I run the command cat /proc/cpuinfo? What happens when I write cat /proc/cpuinfo. Is that a named pipe (or something else) to the OS which reads the CPU info on the fly and generate that text each time I call it? Why does the CAN bus use a 120 ohm resistor as the terminating resistor and not any other value? Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$? Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$ ?    $$\mathbf{Q}(\sqrt{2},\sqrt{3})=\{a+b\sqrt{2}+c\sqrt{3}+d\sqrt{6} \mid a,b,c,d\in\mathbf{Q}\}$$   $$\mathbf{Q}(\sqrt{2}+\sqrt{3}) = \lbrace a+b(\sqrt{2}+\sqrt{3}) \mid a,b \in \mathbf{Q} \rbrace  $$  So if an element is in $\mathbf Q(\sqrt{2},\sqrt{3})$, then it is in $\mathbf{Q}(\sqrt{2}+\sqrt{3})$, because $\sqrt{6} = \sqrt{2}\sqrt{3}$.  How to conclude from there? Allow Documentation in other Stack Exchange communities I'm a Salesforce developer and would love Documentation to be available in other Stack Exchange communities. The reason is  a lot of Salesforce developers get help, especially newer ones like myself. The developer forums and documentation on  is mediocre. It would be nice to allow users to create their own and give pack on How far can I refactor the code in someone else's question? How do you get \mathbb{1} to work (characteristic function of a set)? I am trying to get the digit one printed the \mathbb{} font in math mode, however the command  \mathbb{1}   outputs some rubbish. I certainly saw the character I am after in some pdf's generated from latex, hence my question: how do you get it to work? Delay HTML5 :invalid pseudo-class until the first event How to find what device a file is on (and use that in a script)? I want to find out what device my file is on so that I can use it in a script. I can get this far:  $ df  . Filesystem   512-blocks      Used Available Capacity  Mounted on /dev/disk0s2  498438976 294369520 203557456    60%    /   but this output feels too clumsy; is there a better way than parsing this to get the first 'word' of the second line?  What I really need is something like this so I can pipe it to the next command:  $ somecommand . /dev/disk0s2   How can I achieve this, preferably without resorting to string hacking the 'df' output? What are some useful, undocumented Mathematica functions? New figure environment I am writing my PhD thesis. In my manuscript I have Figures in the text and Photographic plates (a figure of figures) in the annexes. The two elements are different and I would like create a new environment of Plate that follows the same structure of the Figure environment. Where can I find the Figure environment to modify it?  The new environment table should have exactly the same structure than the figure environment but replacing the word figure by the word Planche (in French). While rendering a mesh with smooth shading on, I get a dark region/shadow on certain faces. The effect is more evident when smooth shading is applied to a mesh containing ngons, with the ngons turning black when rendered.   The blackening effect is visible in the viewport too.  How can I solve this problem? crossfade between 2 videos using ffmpeg I've been trying to achieve a crossfade transition between 2 video clips using ffmpeg but have failed so far. I'm new to ffmpeg and am mostly relying on tweaking what I can find in the documentation and existing examples online. From what I read so far, using either the blend or overlay filter should help in achieving what I'm after but I can't figure out the command line details to get it to work.  The fade and concat filters are great for fade-out of video 1, fade-in to video 2 and concat the 2 into 1 clip type transitions but I'd appreciate help in getting a command to transition from video 1 to video 2 without any going to black in between. I couldn't find any examples for exactly this problem anywhere, maybe I'm looking for the wrong keywords...?  More speficially, my videos are mp4s (h264 video, no sound, in case that matters), each is 5 seconds long and I'm after a transition from approx. 4.5s of video 1 to 0.5s of video 2.  Similar to what this tutorial does using MLT and frames (see 2:25 for an example fade), though I'm looking for a way to do this just in ffmpeg without calling any other progs.   Any pointers or maybe a command line to get a fade like this would be much appreciated, thanks very much! "This is a favorite question" tooltip when not favorite Is there a way for me to download the full list of tags (and synonyms) used on Stack Overflow? My intent is to import these tags into an SQLite database as part of a process to convert all of my delicious bookmarks and tags to the ones used here on Stack Overflow. Why put a resistor in series with signal line? A lot of times in circuits I see a resistor placed in series in a signal line and sometimes even in series with an MCU's VDD line. Is the intention of this to smooth out noise in the line? How is this different from using a small cap, like a .1µF to do the same thing? Is Dragonstone unoccupied after Stannis Baratheon's defeat? Is anything known about Dragonstone after:      Stannis Baratheon is killed in his bid for the Iron Throne?   As the seat of the naval defense of King's Landing and the birthplace of Daenerys Targaryen, she has a vested interest in taking it.   At the conclusion of Season 6 Episode 10, is Dragonstone unoccupied? Can anyone make me understand in simple language why the second condition for being an Euclidean domain is superfluous ?  Why $v(a)  \leq v(ab)$ is not needed?  How we can deduce from the first one?