Automorphism group of $\mathbb{P}^{1}_{\mathbb{C}}$
Classification of automorphisms of projective space
Why does `a == x or y or z` always evaluate to True? Scheduling a team based activity with 10 different teams and X different games. Every team must meet each other ONCE but never twice, Citing a range of papers using numeric keys as in \cite{a, b, c} -> [1-3] How to get client's IP address using JavaScript? I need to somehow retrieve the client's IP address using JavaScript; no server side code, not even SSI.  However, I'm not against using a free 3rd party script/service. Notification for reviews shows way too many How does one change the Attribute table view on QGIS 3? An initial answer says to use the Switch to Table view button but I can't seem to find this button. How to Evaluate $\int e^{2x}\sin(3x)\ dx$? Integration by parts - unless I'm not thinking straight - doesn't seem to help here.. If I pick either of the functions $e^{2x}$ or $\sin(3x)$ to be $u$ or $dv$, they don't change to anything easier... $e^{2x}$ stays in the form $e^x$ and $\sin(3x)$ flip-flops between $\sin(3x)$ and $\cos(3x)$, neglecting the constant that gets introduced.  So how can I approach solving this? $u$-substitution doesn't seem to be something I can use either. How to import Illustrator swatch libraries into InDesign - Adobe Indesign Mac? I have a very reach swatch library in adobe-illustrator like food colors and.... But in adobe-indesign I don't have many colors. Why? Can I import them to indesign? Let $A$ and $B$ be two constant matrices and let $x$ and $ y$ be two random vectors, what is the general formula for $Var(Ax+By)$? I know the formula for when $x$ and $y$ are scalar random variables and $A$ and $B$ are constants, but what about the matrix case? How to Setup GIMP 2.10 on Ubuntu 16.04 (Xenial Xerus) Trouble doing polynomial interpolation Hello,  I'm getting this error every time when I boot my computer. My Ubuntu installation is fresh and I was got a few error on last step while install Ubuntu (because i have problem with my CDROM driver). Anyway, installation is continued .   For example when i tried to open ADDITIONAL DRIVER and LANGUAGE SUPPORT (on System Settings) nothing happened, it's not opening.  When i try this in terminal gnome-language-selector i'm getting this error  Traceback (most recent call last):   File "/usr/bin/gnome-language-selector", line 8, in &lt;module&gt;     from LanguageSelector.gtk.GtkLanguageSelector import GtkLanguageSelector   File "/usr/lib/python2.7/dist-packages/LanguageSelector/gtk/GtkLanguageSelector.py", line 34, in &lt;module&gt;     from aptdaemon.gtk3widgets import AptProgressDialog   File "/usr/lib/python2.7/dist-packages/aptdaemon/gtk3widgets.py", line 61, in &lt;module&gt;     class AptStatusIcon(Gtk.Image):   File "/usr/lib/python2.7/dist-packages/aptdaemon/gtk3widgets.py", line 66, in AptStatusIcon     def __init__(self, transaction=None, size=Gtk.IconSize.DIALOG): AttributeError: type object 'GtkIconSize' has no attribute 'DIALOG'   Also getting this error for jockey-gtk  Traceback (most recent call last):   File "/usr/bin/jockey-gtk", line 418, in &lt;module&gt;     sys.exit(u.run())   File "/usr/lib/python2.7/dist-packages/jockey/ui.py", line 461, in run     self.ui_show_main()   File "/usr/bin/jockey-gtk", line 81, in ui_show_main     col_icon.set_sizing(Gtk.TreeViewColumnSizing.AUTOSIZE) AttributeError: type object 'GtkTreeViewColumnSizing' has no attribute 'AUTOSIZE'   I'm worrying about are there any lack . I don't know what's wrong with my installation.  Are there any way, check my installation (packages, files etc..) . How to look up a symbol or identify a letter from a math alphabet or other character? I do have a longer paper. In one chapter I got several multiline equations, which I wrote using the align environment from amsmath-package. Actually those are quite long computations which should break anywhere for avoiding to much empty space on a page.  I want to use something like \allowdisplaybreaks, which does exactly what I want. The problem is, that I do not want to allow displaybreaks anywhere else in the document, where I have no control about it. I tried to use \allowdisplaybreaks directly before \begin{align}, hoping it would only apply on the next following align-enviroment. But it applies to every align-environment later in the text.  Is there any way to "stop" the command again?  And yes, I could use \displaybreak for single breaks, but I had to use it in many equations and I needed to put it in every single line, since the pagebreak should move, if I add a few more lines anywhere in the chapter.   Thanks for your help, Greyfox Does every number not ending with zero have a multiple without zero digits at all?   We consider numbers in their usual base 10 representation. we don't consider numbers ending with $0$, because all multiples of such numbers end with $0$.   It can be proven that all powers of $2$ have such a multiple: Indeed, for every number of the form $2^n$, we can find a multiple $l$ of it whose last $n$ digits are nonzero (This can be done by repeatedly multiplying a number by $10^k+1$, as explained ), and then forget all other digits; these last $n$ digits constitute a number that is still divisible by $2^n$, since it is obtained from $l$ by subtracting a multiple of $10^n$ which is in particular a multiple of $2^n$.  The same argument shows that every power of $5$ has a multiple without zeros, but this does not seem to generalize to other numbers.  My intuition is actually that the claim is not true, since the density of numbers without any zero digits approaches $0$ for big numbers. This is because the probability of a random number with at most $n$ digits to contain only nonzero digits is $(\frac{9}{10})^n$. Thus big numbers "nearly always" contain a zero. This hints on the existence of a counterexample, but does not prove its existence. There is a hint to show that if there were points in $\mathbb{Q}$, then there would exist $r,s, t \in \mathbb{Z}$ with $\gcd(r, t) = 1$ such that $2s^2 = t^4 - 17r^4$ , and then show that any prime dividing $s$ is a quadratic residue modulo $17$.  I'm stuck on the first bit - if you suppose $\left(\frac{a}{b}, \frac{c}{d}\right)$ is a point on the curve in $\mathbb{Q}$ (so $a, b, c, d \in \mathbb{Z}$) then you get to $2a^2d^4 = b^2c^4 - 17b^2d^4$, but I'm not sure where to go from here since you don't know that $b$ is a square? Bounds on off-diagonal entries of a correlation matrix How to configure Ubuntu as an LDAP client? How to configure Ubuntu 12.04 as LDAP client with PAM modules? XIV pages in page counts? Is it possible to make biblatex output page counts for both the regular pages and the roman-numbered pages, for example:     Cook, Theodore Andrea. The Curves of Life : Being an Account of Spiral Formations and Their Application to Growth in Nature, to Science and to Art; with Special Reference to the Manuscripts of Leonardo da Vinci. — London : Constable and Company, 1914. — xxx + 479 p.   Here there are "30 pages + 478 pages" in total. Thanks! When you suggest an edit to a post and view the post while it's pending, . But as noted in the , this linking hasn't been implemented for tag wikis/excerpts yet, partly because there are potentially two links to include and the wording is not entirely obvious, and partly because they're orders of magnitude less common.  Here's my suggested wording for the three cases.   Tag wiki excerpt only     Thanks for your edit!   This edit will be visible only to you until it is .  Tag wiki only     Thanks for your edit!   This edit will be visible only to you until it is .  Both     Thanks for your edit!   These edits will be visible only to you until they are peer reviewed (, ).        I can't directly address the prioritization of tag wiki edits, but I'd appreciate the corresponding  or  mark, at least.