How to play on lan with friends on minecraft
Why isn't my Minecraft LAN server working?
$Q_8$ is isomorphic to a subgroup of $S_8$, but not isomorphic to a subgroup of $S_n$ for $n\leq 7$. Question is to prove that :     $Q_8$ is isomorphic to a subgroup of $S_8$, but not isomorphic to a subgroup of $S_n$ for $n\leq 7$.   I see that $Q_8$ is isomorphic to subgroup of $S_8$ by left multiplication action.  Hint given was to prove that stabilizer of any point contains $\{\pm 1\}$.  To prove Cayley's theorem, stating any group is isomorphic to a subgroup of $S_n$ we take action of given group on a set $A$ having same cardinality.  with that motivation I want to check if there is a Isomorphism then there is a map from $G\times A \rightarrow A$. i.e., $G$ gives a permutation group $S_A$.  I tried in same manner. Suppose $Q_8$ is isomorphic to subgroup of $S_n$ with $n\leq 7$  then it should come from a group action of $Q_8$ on a set of cardinality atmost 7.   Suppose $Q_8$ acts on a set $A$ with possible cardinality at most 7.  $stab(a)=\{g\in Q_8 : g.a=g \forall a\in A \}$  $cl(a)=\{g.a : g\in Q_8\}$  I know number of elements in class of $a$ equals to index of stabilizer.  As $cl(a)=\{g.a : g\in Q_8\}\in A$ i.e., $cl(a)\subseteq A$ and as $|A|\leq 7$ i see that $|cl(a)|\leq 7$.  But, $|cl(a)|=|Q_8:stab(a)|$ for any element $a\in A$.  So, $|Q_8:stab(a)|=|cl(a)|\leq 7$ for all $a\in A$.   So, $stab(a)$ should be non trivial subgroup of $Q_8$ if not then $|Q_8:stab(a)|=8$  non trivial subgroup (proper) of $Q_8$ contains $\{\pm1\}$.  So, In the worst case, $\{\pm 1\}\subseteq stab(a)$ for all $a\in A$.  As $Ker(\eta)=\cap_{a\in A}stab(a)$ (where $\eta$ is the action of $Q_8$ on $A$)   we see that $\{\pm 1\}\subseteq Ket(\eta)$ which means that $Ker(\eta)$ is non trivial.  thus there is no isomorphism (coming from $\eta$) between $Q_8$ and any subgroup of $S_7$.  I would be thankful if someone can check whether my approach is correct or if there is any other simple possible way.  P.S : Usually what i do to see whether two groups are isomorphic or not is to check for cardinality, abelian property, no of elements with same order and so on. But I was having no idea when i fail in all these ways. With this Group actions i could see possibility for getting a precise conclusion on Isomorphisms.I would like to Thank Mr. Jyrki Lahtonen (a user of Math.SE) who made me to get used to Group actions.  P.S $2$: If any thing is wrong in my idea, it is entirely my fault, and if anything is correct in this whole credit should go to Mr. Jyrki Lahtonen Omitting the hypotheses of finiteness of the measure in Egorov theorem I want to prove that if I omit the fact that $\mu (X) &lt; \infty$ in Egorov theorem and place instead that our functions $|f_n| &lt;g$ and $g$ is integrable, we still get the result of Egorov's theorem.  Fix $m$ a natural number.  I took $ w_{n} = |f_n-f|$ and thus by DCT $\int |f_{n} - f|$ goes to zero.  Then I took $\bigcup_n {( w_{n} \geq 1/m)}$. I need its measure to be finite. Its measure is less than the sum of the measures of each $ w_n\geq 1/m)$ varying $n$, and by Tchebychev, this is less than $m\int|f_{n} - f|$.  But I got stuck here.  Any help is appreciated. Thanks! Do Cantrips use your character level or class level? Cantrips seem to be the only type of spell that cares only about your class level. However, in the multiclassing section they are not mentioned, does this mean that cantrips use your character level, instead of your class level?  Does this mean a Warlock 2 / Fighter 15 can cast an Eldritch Blast with 4 beams just like a level 17 Warlock? I have recently upgraded my OS to Ubuntu 18.04 (fresh install via boot device). However, when trying the command:  sudo apt-get upgrade   It works fine until ~75% when it stops and says:  snapd.snap-repair.service is a disabled or a static unit, not starting it.   I'm not quite sure what this means and if I Crtl-Z to get out of it, any time I try to install anything I get:  E: Could not get lock /var/lib/dpkg/lock - open (11: Resource temporarily unavailable) E: Unable to lock the administration directory (/var/lib/dpkg/), is another process using it?   and have to restart my computer to install anything. Ampscript date range lookup I want to use LookupOrderedRows and return rows between a start and end date (last month range). What is the best way to handle using Ampscript?   I can add one date to the where using   "DateField", @varStartDate,   But if I add the below to add additional where filters  "DateField", @varStartDate,"DateField", @varEndDate,   I get this error:     "Duplicate Key Field Name: DateField"   EDIT: Also I tried the range as the var for the LookupOrderedRows using   set @strRange = StringToDate(Format(DateDiff(@strStartDate, @strEndDate, "M"),"MM/dd/yyyy"))  and then in the LookupOrderedRows just using  "DateField", @strRange  But that got an error as well. Put two figures side by side There are already several threads that deal with this: they suggest having one figure and putting putting minipages inside, or using the subcaption package and having subfigure environments. However, I've tried both of these approaches and I'm still going wrong:  \begin{figure}[h]  \begin{minipage}[b]{0.2\linewidth}  \begin{tikzpicture}[sibling distance=0pt] \Tree [.TP         [.DP \edge[roof]; {a 'we'} ]         [.T$'$             [.T \node(li){li 'eat$_i$'}; ]             [.VP                 [.Spec t ]                 [.V$'$                      [.DP \edge[roof]; {saka 'rice'} ]                     [.V \node(t){t$_i$}; ] ] ] ] ] \draw [-&gt;] (t) .. controls +(south:3) and +(south:3) .. (li); \end{tikzpicture}  \end{minipage}\hfill  \begin{minipage}[b]{0.2\linewidth}  \begin{tikzpicture}[sibling distance=0pt] \Tree [.TP         [.DP \edge[roof]; {a 'we'} ]         [.T$'$             [.T \node(li){la 'have'}; ]             [.VP                 [.Spec t ]                 [.V$'$                      [.DP \edge[roof]; {saka 'rice'} ]                     [.V \node(t){li 'eaten'}; ] ] ] ] ] \draw [red,-&gt;] (t) .. controls +(south:3) and +(south:3) .. (li); \end{tikzpicture}  \end{minipage}  \end{figure} Prove that $x^x+y^y=z^z$ doesn't have integer solutions What does "ain't" mean? What does the contraction ain't mean? Is it appropriate to use it in formal settings? Points disappear when zooming past certain scale in ArcMap? My points are disappearing when I zoom in past 300,000 in ArcMap.  I tried to repair geometry, but it doesn't fix anything?    I also checked the scale extents and those are turned off.  I can export the points to a new shapefile/feature class, but I'd like to not have to do that.    I'm using 10.1 on Windows 7 x64. A PCI Express 3.0 Video Card into a PCI-E 1.0 x16 slot Perhaps I'm trying to push my mobo too hard, but I think I have read that PCI-e 3.0 is back compatible to previous PCI-e specifications. But 3.0 into a 1.0, is it possibly asking too much?  I'm thinking about buying an AMD . My mobo is an Asus p5g41-m le Automatic image format detection in PHP I am looking for a way to take a user uploaded image that is currently put in a temporary location ex: /tmp/jkhjkh78 and create a php image from it, autodetecting the format.  Is there a more clever way to do this than a bunch of try/catching with imagefromjpeg, imagefrompng, etc? Let: $P(x) = a_nx^n + a_{n-1}x^{n-1} + ..... + a_1x + a_0$ where $a_0a_n &lt; 0$ I have to prove that the Polynomial $P(x)$ has at least one positive root how can I prove it? Any ideas? Accessing bash command line args $@ vs $* What's a good SSH tunneling client for OS X? I've been using SSH Tunnel manager to easily set up and stop port tunneling over SSH to various servers at my company. That saved me the pain of opening up a new terminal window which will hang out there just for the sake of having a tunnel open.  This worked great (well , sort of) but SSH Tunnel Manager is a PowerPC application. With Lion, it is not supported any more.  What is a good replacement? When should one use the "recent past"? How much time should have passed? It was nice to discover the option for a room owner to add any user to a room, even if their rep is too low.     ...so I notified the user in question, and as instructed on the next screen, I had them got to chat.stackoverflow.com so that I'd be able to add them.    ...but when they did their part, and I did my part, I got the message:    Obviously both frustrated, the user's next logical question was:  "So I just have ask a couple questions and get someone to upvote them, right?"    Needless to say, we don't want to encourage new users to post questions for the sole purpose of bypassing a frustrating, misdocumented rule.  I realize this will likely quickly get closed since it has at least one  - which hasn't been touched in 5½ years.  However it would be nice if the issue was revisited:  Ideally, it would be cool if RO's did have the option of deciding who had access to the room they "own", but short of that, is it possible to remove the 6 "misleading" words from that page? Forward vs Forwards Spaces in files names in \input or \includegraphics I'm going crazy...  I have a file I want to include which path is C:\Users\Matthieu\Documents\Folder withOneSpace\myFile.tex. (As you can see with the \, I'm on windows actually)  I tried the following but none works:  \input{C:/Users/Matthieu/Documents/Folder withOneSpace/myFile} \input{C:/Users/Matthieu/Documents/Folder\ withOneSpace/myFile} \input{C:/Users/Matthieu/Documents/Folder withOneSpace/myFile.tex} \input{C:/Users/Matthieu/Documents/Folder\ withOneSpace/myFile.tex}   I also tried to put the file out of the folder with a space and it works (no surprise):  \input{C:/Users/Matthieu/Documents/myFile} --&gt; Works   All I found is to put a \ before the space but it doesn't work at all. --> Please help ! :) How to install the latest Arduino IDE? Algebraic dual of $\mathbb{R}^{\mathbb{N}}$ As in the title, my question is: What is the algebraic dual space of $\mathbb{R}^{\mathbb{N}}$ - the space of all $\mathbb{R}$-valued sequences. I think that it should be the direct sum $\bigoplus_{\mathbb{N}} \mathbb{R}$, via the natural duality, but I cannot proof it.