I am new to this field, and I face with a question that asks me to count how many Eulerian circuits start from node 0 in this graph. The answer from the book is 264 but I feel that the answer is wrong. I have tried the Fleury's algorithm to count but after several steps, I started being confused.
As the title suggests, I’m simply looking for a method to compute the number of Eulerian Paths in the complete graph $K_5$, where all paths start from the same node. Since there are 5 nodes, all Eulerian paths must be Eulerian circuits as well.  Thanks.
How do I stop sharing call history between two iPhones? My husband and I both just upgraded to iOS 8.3.  Now I notice that if I have a missed call it shows up on his notice screen and all my calls show up in his recent call history (and vice versa).  Both phones don't ring and they don't need to be near each other or connected by Wi-Fi.  We do share an iTunes account.  How do I stop sharing call history between the two phones? Sending a JavaScript variable to a PHP function I am trying to send a value in JavaScript variable to Drupal. I am calling an external js file in hook_nodeapi(). I want to send a value from this external js file to Drupal, and want to use this value in Drupal in hook_block. For example  hook_nodeapi() {   // call(external.js) } external.js var sendData =10;  hook_block {   case view:   // need to access sendData value }   I tried this using cookies, but I think that is not the best way. How can this be done? How to make many copies of similar graphs systematically? I want to make various copies of a graph in tikz. The graph I want has 10 vertices. But only has the edges between the vertices a_i,a_(i+1),t,b.  I would like to automatically create 8 copies of this graph. and draw them. I just don't know how to code it. Here is my current code, but it adds all of the edges to the same copy of the graph:  \begin{tikzpicture} [main_node/.style={circle,fill=blue!20,draw,minimum size=2em,inner sep=3pt]}] \node[main_node] (8) at (0:0.5) {b}; \node[main_node] (9) at (180:0.5) {t}; \foreach \x in {0,1,...,7}     \node[main_node] (\x) at (360/8*\x:2) {$a_{\x}$}; \foreach \x in {0,1,...,7}{     \pgfmathsetmacro{\y}{int(mod(\x+1,8))}     \path[draw,thick] (\x) edge node {} (8);     \path[draw,thick] (\x) edge node {} (9);     \path[draw,thick] (\x) edge node {} (\y);     \path[draw,thick] (8) edge node {} (9);     \path[draw,thick] (8) edge node {} (\y);     \path[draw,thick] (9) edge node {} (\y);    }   I want each of the edge sets to be drawn seperately. What kind of edits contribute to the editor badges? The descriptions for the editing badges are:     Editor:    Strunk &amp; White:    Copy Editor:    Does "posts" include your own questions/answers, or are these badges just for edits to other people's stuff?  Other questions about how editor badge works:   What if I edit only a question's tags, but not its body? What if I edit both a question's tags and its body? Do edits to Community Wiki posts count? Do edits to answers count? Do edits to tag wiki pages count? Do edits to comments count? (Moderators can edit other users' comments, even outside of the usual five minute window.) leaflet geojson coordinate problem I just started to play with leflet/geojson a little. But my coordinates are not rendered properly and I have no clue what is going on.  My coordinates are: 52.23943, 4.97599. They work correct with the setView function.  var map = L.map('leaflet_map').setView([52.23943, 4.97599], 15);   But using a geojasonFeature they are, hmmm, 'projected', somewhere east of Somalia.  var geojsonFeature = {             "type": "Feature",             "properties": {             "name": "Coors Field",             "amenity": "Baseball Stadium",             "popupContent": "This is where the Rockies play!"             },             "geometry": {                 "type": "Point",                 "coordinates": [52.23943, 4.97599]             }         };         var myLayer = L.geoJson().addTo(map);         myLayer.addData(geojsonFeature).bindPopup("I am a gjson point.");   Anyone who knows what is happening here?  EDIT  Out of pure curiosity I changed the coordinates around [4.976143930893815,52.23925499011473] and the point appears at its correct location. A known bug!? What really causes light/photons to appear slower in media? There is a (very minor) typo in the Close Votes review audit failure message. The message is presented as follows:  STOP! Look and Listen. This was an audit, designed to see if you were paying attention. You didn't pass. There are no major problems with this question. You should click Leave Open, or make minor corrections via Edit. Don't worry, we've already handled this post appropriately – but please take a minute to look it over closely, keeping in mind the guidance above.;  The ; at the end is a typo and is in the actual message that was displayed. What mode does the terminal go into when I type a single quote? App version: 1.0.35 Device: Nexus 7 Problem: Users with weird/unusual name won't display on the Android app, there will just be a blank space where the username should be. For example,  user is showing as:   On a question:   On their profile: Suppose that we have a vector space $V$ and the subspaces $U=\{(x,x,y,y)\in F^4:x,y\in F\}$ and $W=\{(x,x,x,y)\in F^4:x,y\in F\}$. Then how comes $$U+W=\{(x,x,y,z)\in F^4:x,y,z\in F\}?$$ Often I need two (or more) map frames in map layout to present different data next to each other. It is easy to make multiple map frames in QGIS Print Composer. BUT...  It is in the nature of my work that very often I need to update some map frames because data I am presenting in map changed or I need to add/remove layer, change scale, projection etc.  So if I create one map frame, lock it (Lock layers for map item), create second map frame with different layers, scale,projection etc. and than realize I need to change something in first frame, I can't find a simple way to do it...  To simply do that in Mapinfo, there are more Map Windows, in ArcGIS there are multiple Data Frames. What is in QGIS to achieve that? Why isn't there a truly unified package manager for Linux? Why isn't there a unified package manager that acts as an interface between the end-user and the underlying low-level package manager (apt, yast, pacman, etc.)?  Is it hard to do and therefore not practical, or is there a genuine obstacle making it impossible to do? On the computer upstairs we have an option to make the computer make a sound when we press Caps Lock, Number Lock and Scroll Lock. Is there a way to do this on Ubuntu 12.04? I've lost a command block, how can I find it? I've placed a command block making it day all the time. I want to turn it off, but I've lost it. What's the quickest way to find it? Estimating partial sums $\sum_{n = 1}^m \frac{1}{\sqrt{n}}$ Apostol's Calculus, exercise number I 4.7 13.     Prove that if $n \geq 1$, then   $$ 2(\sqrt{n+1} - \sqrt{n}) &lt; \frac{1}{\sqrt{n}} &lt; 2(\sqrt{n} - \sqrt{n-1}) $$   and use this to prove that if $m \geq 2$, then   $$ 2 \sqrt{m} - 2 &lt; \sum_{n = 1}^m \frac{1}{\sqrt{n}} &lt; 2\sqrt{m} - 1 $$   In particular, when $m = 10^6$ the sum lies between $1998$ and $1999$.   After establishing the trivial case, for $n=1$, I can't think of a way to perform the inductive step:  assuming $2(\sqrt{n+1} - \sqrt{n}) &lt; \frac{1}{\sqrt{n}} &lt; 2(\sqrt{n} - \sqrt{n-1})$ and using this, deducing the same for $n+1$ is true as well:  $2(\sqrt{n+2} - \sqrt{n+1}) &lt; \frac{1}{\sqrt{n+1}} &lt; 2(\sqrt{n+1} - \sqrt{n})$  Any help is very appreciated, thanks End of javascript sidebar workarounds? (Salesforce Classic / Aloha) Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$? Question on groups of order $pq$ Let $G$ be a group of order $pq$, $p&gt;q$  and $p$, $q$ are primes. Then prove that  If $q\mid p-1$ then there exists a non abelian group of order $pq$. Any two non-abelian groups of order $pq$ are isomorphic.   I have proved that if $q\not\mid p-1$ then $G$ is cylic . But how to prove this one I have no idea. Any kind of hint is very much welcome. This problem is in Herstein book, page 75. Note: This is not the same as , which is about the moderator tool. I am talking about the flag history page that is accessible through the user profile at .  I tend to have a pretty good hit rate for flags, well above 90% helpful on several sites. I also semi-regularly review the flag history page, both to see the status of any outstanding flags as well as see how flags I raised have been handled. Particularly, whenever a flag of mine is declined, I look over the post I raised the flag against with this new information in mind, to try to determine if I should change my flagging behavior in some way to better match the specific site's scope.  However, comment flags are difficult in this regard. Most often, there is only a binary status: helpful or declined. Helpful comment flags nearly always lead to the comment being deleted, so that obviously could present a bit of a problem, but that's not really relevant because a helpful flag means you should just keep doing what you've been doing. Declined comment flags, on the other hand, usually mean the comment is kept. It's the declined comment flags that I want to learn more about. But there's no way to!  All the flag says is which post it was on, how I flagged a comment, that I was the one to raise the flag (which frankly is rather useless information when you are already looking at your own flags summary), when the flag was raised and whether it's pending, helpful or declined. In a very few cases the moderator handling the flag may leave a helpful return comment.  This can get even more confusing if I raise multiple flags in quick succession against comments on the same question including any answers to it, because they basically all get bundled together.  Even in the case of a declined flag where the comment remains, there is no way to find your way back to the specific comment you flagged! Thus it is very difficult to recognize the error of your ways. Because comment flags (with few exceptions) are handled by diamond moderators only, the lack of feedback about which comment's flag was declined means it's easy to keep wasting the moderators' time without even intending to do so.  Hence my feature request: add a link to the specific comment that the specific flag was raised against, ideally only if that comment remains. I want to propose for a Persian version of Super User (I will explain why later) so I want to create a proposal in Area 51, but this means non-English question and answers, Is this OK? P.S: This may be a question for other non-English proposals too. Update: The main question is: How can non-English site proposals pass the Commitment phase? How can the English community support non-English proposals? You can find some information in  about the Stack Exchange 2.0 Site Creation Process (specially Commitment phase):  How does this thermometer work? Intuitively, if Jon Skeet says that he’ll participate in the Sock Puppet Stack Exchange, that commitment is a better sign that the site will succeed than if we get a commitment from a random Internet user who has never participated in Stack Overflow. Sure, they’re both wonderful people, I’m sure, but Jon Skeet has proven that he likes to participate in Stack Overflow so it’s a good bet that he’ll participate in SockExchange, too. .... we’re going to require a selection of existing users with certain badges and reputation that proves that they’ll participate. For instance (and I’m making these numbers up), we might require that a site get at least 100 commitments from people with the Teacher badge, at least 20 from people with the Enthusiast badge, and at least 50 from people with a reputation of 1000 or more on some of our sites.