How to display taxonomy terms parents along with child terms in views block?
How to show the parent and child taxonomy term?
Let $\mathbb R$ denote the set of all real numbers. Find all function $f: R\to \ R$ such that   $$f\left(x^2+f(y)\right)=y+(f(x))^2$$   It is the problem. I tried to it by putting many at the place of $x$ and $y$ but I can't proceed. Please somebody help me. I am generating one report where I need to use background image. But I found that image always starts leaving some margin space to left side.    \documentclass{article} \usepackage{wallpaper} \usepackage{mdframed} \usepackage[top=2cm, bottom=2cm, outer=0cm, inner=0cm]{geometry} \begin{document}  Some content \ThisLRCornerWallPaper{1.0}{image.jpg} \end{document}    How can I use background image covering whole page? Independence of points from same underlying function I have a function $y=sin(x)$  I sample the points $ x_i=\{0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1\}$ and $$ y_i=sin(x_i) + \epsilon \  \ \epsilon \sim iid\ Normal$$  Now given only the set $\{x_i,y_i\}$ I want to uncover the underlying functional form $f(x)$ given as  $$y=f(x)+\epsilon \ \ \ \ \epsilon \sim iid\ Normal  $$  My question is : ARE $y_i$'s independent ?  My intuition is that $y_1$ and $y_2$ are not independent. This is because given a new ${x}$ say ${x_\star}$ we can use $y_i$'s to learn some information about ${y_\star}$.   Does the fact that the input points come from the same underlying function make them somehow correlated or posses commonalities ? and if not why do most methods (ex: Non-parametric splines, Gaussian process) use the $y_i$'s to get information and learn ${y_\star}$ ? Isn't the fact that if samples are independent then they can't learn new information from each other ? Is there a way to set my current location manually on Windows 8? Is there a way to set my current location manually on Windows 8? I don't have a GPS module, but the device is always located at the same place. The automatic detection via network sets a place 200 kilometers from here.  I searched for a setting that allows me to set the location by hand, but I didn't find one. Is there a "win64" identifier in Qmake project files?  documentation does not mention other than unix / macx / win32.  So far I've tried using:  win32:message("using win32") win64:message("using win64") amd64:message("using amd64")   The result is always "using win32".  Must I use a separate project-file for x32 and x64 projects, so they would compile against correct libraries? Is there any other way to identify between 32-bit and 64-bit environments? I just installed Oracle's Java version 7u7 on my Mac (running OSX Mountain Lion). However, when I run java -version it still displays the old version (6u29).    How do I fix this? Do I even need to fix this? What version will browsers (Firefox) use in this case? And what version will be used when I run Java applications directly?  I've seen  but this doesn't work in my situation (probably because this question is about the JRE and the other question about the JDK). In my case the Java Preferences app only displays Java 6 versions (32 bit and 64 bit).    Update:   which java points to /usr/bin/java /usr/bin/java is a symlink to /System/Library/Frameworks/JavaVM.framework/Versions/Current/Commands/java /System/Library/Frameworks/JavaVM.framework/Versions/ only contains the folder A (awesome version name) - which Current points to. How to keep glasses dry in the rain? How do get my sitelinks to appear on Google search results? Prove that there is no retraction (i.e. continuous function constant on the codomain) $r: M \rightarrow S^1 = \partial M$ where $M$ is the Möbius strip.  I've tried to find a contradiction using $r_*$ homomorphism between the fundamental groups, but they are both $\mathbb{Z}$ and nothing seems to go wrong... Roman numerals used for ordinals When a Java VM crashes with an EXCEPTION_ACCESS_VIOLATION and produces an hs_err_pidXXX.log file, what does that indicate? The error itself is basically a null pointer exception. Is it always caused by a bug in the JVM, or are there other causes like malfunctioning hardware or software conflicts?  Edit: there is a native component, this is an SWT application on win32. When I try to install any package through the command line, I get an error.   $ sudo apt-get install &lt;package&gt; Reading package lists... Done Building dependency tree        Reading state information... Done E: Unable to locate package &lt;package&gt;   Can anyone help me on this? I have always heard the term used in referring to a single word. When browsing questions on this site, I've seen it used applied to entire phrases, and have suppressed the compulsion to edit them and replace the term with origin. I have defined my own custom vim file type with highlighting etc.  I would like to open it using the terminal based vim when I double click on it.  I am using mac os x.  Any pointers on how to start on this? What Did Lyanna Stark Say to Ned Stark? In the final episode of season 6 we see that Lyanna Stark is whispering something to Ned. What is she saying? “Unable to Connect to World” Minecraft PE 1.16.201 So my brother and I have been playing Minecraft together on our iPads for years now, but in September I got a new iPad Pro 3rd Generation and I’ve been having issues with Minecraft ever since. Every time we have tried to join each other’s worlds we get the message “Unable to connect to world”. Recently after the update on December 16th, it worked for about a week without having any issues, but now it has gone back to not letting us connect to the worlds. Both of us are able to connect to other people’s worlds, but not each other’s, we’ve tried many things to fix this but so far nothing has worked. If you have any ideas for what we should do please let me know, thank you so much! Voting to Close after Accidentally Voting to Leave Open When reviewing on SO, I accidentally pushed the "Leave Open" button on a post that clearly should've been closed. I pushed the back button and saw that in the review panel my vote to keep open had been locked and it said:     PhpMyCoder voted to leave open 1 minute ago   So I clicked on the question heading to go to its page and I clicked the close link on the question page and voted to close for the relevant reason. However, when I returned to the review page (and did a hard refresh) it still said:     PhpMyCoder voted to leave open 2 minutes ago   Is it possible to vote to leave open and vote to close at the same time? I assume not. In which case, I'd say this is a bug because it should've updated to say:     OtherUser and PhpMyCoder voted to close 2 minutes ago MySQL Access denied for user 'root'@'localhost' In my server, everytime I try to access MySQL I get the error:        Access denied for user 'root'@'localhost' (using password: NO)   when I try mysqladmin -u root -p password I get        Access denied for user 'root'@'localhost' (using password: YES)   How can I access MySQL in my Ubuntu server 12.04? Interior of cartesian product is cartesian product of interiors I have to prove that:  $$Int(A\times B) = Int(A)\times Int(B)$$  Where $A\subset M$ and $B\subset N$, both $M$ and $N$ metric spaces.  The problem is that the exercise does not specify the metric, so I need to try to prove it using a generic metric.  If $x\in Int(A\times B)$, then an open ball can be centered at $(x,y)$ such that it is contained in $A\times B$. Therefore, this open ball, $B((x,y),r)\subset A\times B$. It means that $d((x,y),a)&lt;r$ for any $a\in A\times B$ for some $r&gt;0$. I guess that if I can take from here that $d(x,a)&lt;r$ and $d(y,a)&lt;r$ I can prove thhat $Int(A\times B)\subset Int(A)\times Int(B)$, but I still have to prove the other way around.   Any ideas? How can I remove duplicate rows? What is the best way to remove duplicate rows from a fairly large SQL Server table (i.e. 300,000+ rows)?  The rows, of course, will not be perfect duplicates because of the existence of the RowID identity field.  MyTable  RowID int not null identity(1,1) primary key, Col1 varchar(20) not null, Col2 varchar(2048) not null, Col3 tinyint not null