Taylor coefficients of $\exp⁡(1/(1-z))$
Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?
The number of nonnegative integer triples with sum equal to $12$ How many triples $x,y,z$ satisfy  $x+y+z=12$, where  $x,y,z\ge 0$ are integers? Note that these are not ordered: $ (12,0,0)$ and $(0,12,0)$ are treated as same. Progress I have tried the formula ${13\choose 2}$ to select values of $x$ and $y$ from $0$ to $12$ as  $z$ would keep changing according to $x$ and $y$. (That is, $z=12-x-y$.) The problem is that that certain combinations of $x$ and $y$ would give value of $x+y$ greater than $12$. I can't seem to get around this. How to find out the default file manager in the terminal? Using Illustrator CS6 to create shape out of multiple paths I am very new to Illustrator, in fact I am only experimenting with it in an attempt to help my friend develop a logo for a new business venture. I managed to draw out the shell of the logo using the line tool and modifying the lines with the anchor tool to get the shape I wanted.  However, I would like to somehow take all of these paths and create one object, or symbol which I can then apply a drop shadow, fill and various other effects too. Currently when I try to do this I get unwanted effects...  I'd appreciate any help on the subject. Add a way for moderators to cast a normal, non binding close/open vote I think moderators should have the ability to cast a normal, non binding close and open vote like they were a normal user (while of course retaining their ability to cast a binding vote where necessary). This can be used in &quot;grey areas&quot; where a moderator can choose to give his or her opinion, but not make a decision alone; a good example of this is . This also helps in areas not so grey (questions that everyone would agree should be closed) since the OP has the time to see close (1) and possibly edit his or her question. The moderator can then optionally come back after a few minutes and close it for real if it's not improved (or maybe during that time other 4 people voted to close it). This would also fit perfectly in :  Since we’re about to add community moderators on both Stack Overflow and Server Fault, I need to document what it is, exactly, we expect moderators to do. The short answer is, as little as possible! How can I invest in country A to take advantage of their great interest rate while I live in country B? If I live in the US, for example, where current interest rates are practically nil, how can I take advantage of the fact that ? Curved mesh topology 2 I am trying to model a violin belly and I am intrigued, how is it possible to make faces with soft / rounded edges?    The edges I do are totally straight (see the blue amoeba).  Also, do you have some idea on how to avoid the edge loops getting too "compressed" in the middle of the model (see the red amoeba) ?    I know the Subdivision surface modifier, but I want curved edges after applying the modifier... like in this picture :  Any help will be very appreciated. Thank you in advance!  Marcos  2nd part  In fact, I've tryied to model using nurbs and bezier curves, but I wasn't able to find any tool similar to loft that works with curves, then I was forced to convert it in meshes, the results were not terrific and I've started to move the vertices manually, a real pain... Unlike a guitar, each edge loop is on a diferente elevation on z axis and I have to keep the original dimensions, So I have to be extremely careful when using the subdivision suface modifier. I've already modeled this think on three different CAD softwares, but the meshes are far from good... I want to improve the edge loops, but it will be a long path... Thank you again. How do I change which audio jacks are used for input and output? I'm using a Realtek HD audio card built-in my motherboard. The Windows driver comes with a control panel that allows me to select which back panel jacks are used for what. So for example I can make both the blue jack and green jack for output and only the red one for mic-in. (Whereas by default, the blue jack is for line in, which I never need.)  How can I do the same under Linux? If possible, please don't suggest something that involves PulseAudio or JACK; I'd like to do it the plain way, e.g. by editing ALSA configuration files, if possible. The way I understand it, my problem should have nothing to do with software servers redirecting streams, just instructing the driver to treat this jack as so and so because it's hardware supported.  Thank you very much! I just did my first install of any Linux OS, and I accidentally selected "Desktop GUI" in the install, but I want to build everything myself. Is there any way by which I can remove the GUI environment without re-installing OS? d'Alembert-like functional equation: $f(x+y)+g(x-y)=\lambda f(x)g(y)$ I have a  for my phone, powered via a micro-usb port. The markings on it indicate that it will accept the typical 5V that nearly every USB port provides, or it will accept 9V for "fast charge".  I was under the impression that USB standards allowed for no more than 5V. My research shows that  has several profiles (up to 20V), and Revision 2.0 Version 1.2 includes a 9V profile.  Now I'm wondering: How can voltages above the usual 5V be provided without worry of damaging an expensive phone when connecting them directly (no wireless pad)? If things are running at different voltages, wouldn't that cause an issue?  In this example, 9V is used for fast charging, but could that 9V be sent to my phone? Do phones have a safeguard for this? The USB standard allows for up to 20V. That's a lot when expecting only 5V. Some "dumb" devices are powered directly off of USB, like cheap LEDs and fans that have no IC. Surely they would blow upon 20V!  I'm guessing there is data exchanged between the power source and the peripheral, ultimately telling the power source whether or not it's okay to provide more than 5V. Some USB charging cables don't have data pins though, which can allow for faster charging. In this case, it seems that not having data pins would be a restriction. Maybe the power source would have to default to 5V?. Unfortunately I cannot find an explicit protocol/explanation of how the different potentials are managed. I am using a logit model. My dependent variable is binary. However I have an independent variable which is categorical and contains the responses: 1.very good, 2.good, 3.average, 4.poor and 5.very poor. So, it is ordinal ("quantitative categorical"). I am not sure how to handle this in the model. I am using gretl.  [Note from @ttnphns: Although the question says the model is logit (because the dependent is categorical), the crucial issue - ordinal independent variables - is basically alike, be the dependent categorical or quantitative. Therefore the question is equally relevant to, say, linear regression too - as it is to logistic regression or other logit model.] Value too great for base (error token is "09") What are the similarities/differences between the behaviors of Quantum particles and bouncing droplets? I have searched this for hours but still no luck, obviously doing something wrong.  The journal (Risk Analysis) wants "Reference style is based on the National Library of Medicine (NLM) style guide. In-text citations are numbered, superscripted and in parentheses, and the reference list is numbered in order of appearance within the manuscript. Footnotes are superscripted without parentheses".  Could someone please suggest an appropriate .bst file to use that will produce this? Thanks, J I am failing to add a heading for the appendix to the ToC with the correct page number:  \documentclass{scrbook} \begin{document} \tableofcontents \chapter{test} \appendix \addcontentsline{toc}{part}{\appendixname} \chapter{First Appendix} \end{document}     I also tried to use the \addappheadtotoc command from the  package, but that changes nothing (expect that it writes 'Appendices' instead).  I assume that the appendix package provides the solution, but I could not figure out how to use it. What is the name of the horizontal division line? What is the name of the horizontal division line? Is there a name for it other than "division line? Book where girl can grow nails and might be a thief I'll apologize for this being a vague description up front. I read a book about 8 years ago about a girl who could grow her nails into essentially razorblades or long enough that they could be used as razors. She travels to a city and either becomes an assassin or a thief (pretty sure it was a thief). I vaguely remember the book opening with her being chased by a mob. At some point during her thief training she realizes that the layout of the city is the key to some important plot device. I think she was given some scroll or cryptic image and then during her training she realizes that the layout of the city correlates to it.  Although I did read this 8 years ago I'm pretty sure the book was at least 5-10 years older than that, maybe even more because it was my mom who gave it to me and she said had read it when she was younger. The dust cover was missing when I read it so I have no description for the cover. I do remember that the author was male. It was a fantasy setting and there may have been vampires involved at some point but that part of my recollection of the book is even fuzzier than what I've already described. I've tried googling for this book but obviously my description is fairly vague. I will gladly answer any follow up questions that I can to try and help figure this out because it has been bothering me for years. Why is this true: The only orthogonal projection that is also unitary from $\Bbb C^n$ to $\Bbb C^n$ is the identity Can anyone explain me please how to see this statement: the only orthogonal projection that is also unitary from $\Bbb C^n$ to $\Bbb C^n$ is the Identity.  how can I prove formally that? or how can I see that only the Identity satisfy it? What are the basics needed to learn quantum computing? This is an old problem that deserves a bugfix, but it's getting beyond a joke now and I can't seem to work around it.  I keep getting the dreaded failed To download extra data files error in relation to ttf-mscorefonts-installer:    Repeatedly asking it to try again doesn't help, additionally, repeatedly trying-  sudo rm -rf /var/lib/update-notifier/package-data-downloads/partial/* sudo apt-get --purge --reinstall install ttf-mscorefonts-installer   Isn't working either.  I just get at least one 404 error from one of the sourceforge links that stops it working-  Reading package lists... Done Building dependency tree        Reading state information... Done 0 to upgrade, 0 to newly install, 1 reinstalled, 0 to remove and 20 not to upgrade. Need to get 0 B/29.5 kB of archives. After this operation, 0 B of additional disk space will be used. Preconfiguring packages ... (Reading database ... 352049 files and directories currently installed.) Preparing to unpack .../ttf-mscorefonts-installer_3.4+nmu1ubuntu2_all.deb ... mscorefonts-eula license has already been accepted Unpacking ttf-mscorefonts-installer (3.4+nmu1ubuntu2) over (3.4+nmu1ubuntu2) ... Processing triggers for fontconfig (2.11.94-0ubuntu1.1) ... Processing triggers for update-notifier-common (3.168.2) ... ttf-mscorefonts-installer: processing... ttf-mscorefonts-installer: downloading http://downloads.sourceforge.net/corefonts/andale32.exe Get:1 http://downloads.sourceforge.net/corefonts/andale32.exe [198 kB] Fetched 198 kB in 0s (339 kB/s)                                                 W: Can't drop privileges for downloading as file '/var/lib/update-notifier/package-data-downloads/partial/andale32.exe' couldn't be accessed by user '_apt'. - pkgAcquire::Run (13: Permission denied) ttf-mscorefonts-installer: downloading http://downloads.sourceforge.net/corefonts/arial32.exe Get:1 http://downloads.sourceforge.net/corefonts/arial32.exe [554 kB] Fetched 554 kB in 0s (575 kB/s)                                                 W: Can't drop privileges for downloading as file '/var/lib/update-notifier/package-data-downloads/partial/arial32.exe' couldn't be accessed by user '_apt'. - pkgAcquire::Run (13: Permission denied) ttf-mscorefonts-installer: downloading http://downloads.sourceforge.net/corefonts/arialb32.exe Get:1 http://downloads.sourceforge.net/corefonts/arialb32.exe [168 kB] Fetched 168 kB in 0s (306 kB/s)                                                 W: Can't drop privileges for downloading as file '/var/lib/update-notifier/package-data-downloads/partial/arialb32.exe' couldn't be accessed by user '_apt'. - pkgAcquire::Run (13: Permission denied) ttf-mscorefonts-installer: downloading http://downloads.sourceforge.net/corefonts/comic32.exe Err:1 http://downloads.sourceforge.net/corefonts/comic32.exe   404  Not Found W: Can't drop privileges for downloading as file '/var/lib/update-notifier/package-data-downloads/partial/comic32.exe' couldn't be accessed by user '_apt'. - pkgAcquire::Run (13: Permission denied) E: Failed to fetch https://netix.dl.sourceforge.net/project/corefonts/the fonts/final/comic32.exe  404  Not Found  E: Download Failed Setting up ttf-mscorefonts-installer (3.4+nmu1ubuntu2) ...   The specific point at which it fails to download changed - it seems to be a sourceforge reliability problem, but this has now been going on weeks and results in annoying popups as above all the time.  How do we get this fixed and/or how can I work around it for now.