Here is an example of where class and static methods have the same behavior. class MyClass:     data = 'stuff'      @classmethod     classModifyData(cls, newData):         cls.data = newData      @staticmethod     staticModifyData(newData);         MyClass.data = newData  And here is the behavior ... myClassInstance = MyClass() print(MyClass.data) #stuff  print(myClassInstance.data) # stuff  MyClass.classModifyData('class method modified stuff') print(MyClass.data) # class method modified stuff  print(myClassInstance.data) # class method modified stuff  MyClass.staticModifyData('static method modified stuff') print(MyClass.data) # static method modified stuff  print(myClassInstance.data) # static method modified stuff  I'm assuming there are more complex usages of @classmethod where you couldn't use @staticmethod but I haven't found one. Any clarity on this would be helpful. Thanks.
What is the difference between a function decorated with  and one decorated with ?
Removing text between two specific strings We know that if a finite field $F$ has characteristic $p$ (prime), then $F$ has cardinality $p^r$ where $r = [F:\mathbb{F}_p]$.   I'm now trying to say something about the possible cardinalities of subfields of $F$. I can see that there is a subfield of cardinality $p^s$ for each $s$ that divides $r$, given by the fixed field of the group generated by $\phi^s$, where $\phi$ is the Frobenius automorphism.  Now suppose $K$ is a subfield of $F$. Then (since both are additive groups), Lagrange gives us that $|K|$ divides $|F|$, so $|K| = p^t$ for some $1 \leq t \leq r $ (alternatively, $K$ contains $\mathbb{F}_p$ and so is a vector space over $\mathbb{F}_p$ and is thus isomorphic to $\mathbb{F}_p^t$, where $t = [K:\mathbb{F}_p]$). By considering the multiplicative group of units of $K$ and $F$ respectively, we get that $ p^t - 1$ divides $p^r -1$. I want to make the leap to $t|r$, but I'm failing to see why this needs to be true. Any help would be appreciated. How to remove desktop environments? I installed few environments that I wanted to try out on Ubuntu 12.04, but none of them worked at all. It could be that I installed them all at the same time, meaning the OS didn't get a chance to work everything out, but either way, they didn't work. I would now like to remove them.   The one's that I installed are Xubuntu/Xfce, Lubuntu/LXDE, Kubuntu/KDE, Fluxbox, OpenBox, cinnamon, and MATE. I installed them. Everything seemed to have been working properly until I actually tried to use the shells and nothing loaded at all. Except for Fluxbox, I think that one worked. I want to know of any way to repair or perhaps just remove the packages entirely. I might have already removed them because I did the apt-get remove command on all of them, but they were still in the list on the login screen. Is it safe to replace a 4400mAh laptop battery with a 8800mAh battery? I have an Acer Aspire 5536G. My battery is having problems so I am thinking of replacing it. I have searched online through many sites and I found some good deals. However, currently my laptop has a 4400mAh lithium ion battery so I was thinking of replacing it with 8800mAh 12-cell battery that lasts more hours than 4400mAh without power plug. I know that children’s books is correct, but for some reason I want to say kids books, even though I know that it’s a plural possessive noun ending in an s.   A quick search on the web turns up Barnes &amp; Noble, who have a web page title that reads “Children's Books, Kids Books”.   Is the major bookseller wrong here? Or is there some exception I don’t remember?  More simply, is it kids books or kids’ books — and why? Change all file type associations from one program to another Is it possible to easily change all file type associations that are currently associated with one program to another program in one batch?  In my case, I am trying to change all files types currently associated with Notepad to instead use Notepad++ in Windows 7.  It's a pain to go through Default Programs &gt; Set Associations because after each type the entire list re-populates, taking several seconds.  Is there a way I can do a search and replace in the registry, or something even easier? Meaning of tilde-greater-than (~>) in version requirement? I am new to Drupal. I have been trying to make a slide show on the front page but I am facing an issue on how to upload images of my choice in the slide show. I.e. the images that I have in my computers folder.  I have created a view and placed an image field in it, everything is set. I have also added the block to the main page content. All I can see on the front page is the slider title obviously since i have not been able to add any images.   Can any body tell me how to set my own images to the slider?  I don't want to use fixer slider.  I have used views slide show and some other js files for cycle.  Edit: Here is a screenprint of the view I defiined so far: Positive correlation and negative regressor coefficient sign Is it possible to obtain a positive correlation between a regressor and a response (+0,43) and, after that, obtain a negative coefficient in the fitted regression model for this regressor?  I'm not talking about changes in the sign of the regressor among some models. The coefficient sign always remains.  Could  the remaining variables of the fitted model influence the changing of the sign? I'm an Indian student currently in Singapore as a Research Associate with a TEP valid for five months and have just been selected for an internship in Switzerland this summer.  Is it possible for me to obtain a Schengen visa from the Swiss Embassy in Singapore? Real Analysis, Existence of a Limit Boundedly:$|\int_0^b\frac{sin(ax)}{x}dx | \le c$ I need to show that there exists a $c$ such that $|\int_0^b\frac{sin(ax)}{x}dx | \le c$, where $a$ is any real number, and $b$ is any real number greater than 0. Also I need to show that the smallest $c$ possible is $c=\int_0^\pi\frac{sinx}{x}dx$. I know that $\int_0^\infty \frac{sin(ax)}{x}dx = sig(a)\frac{\pi}{2}$ where $sig(a)$ literally just means positive one or negative one, depending on the sign of $a$. I think the fourier tranform of the characteristic function on the interval $(0,a)$ is $\frac{sin(ax)}{x}$. After that, I am unsure about how to proceed. Thanks for your help! Is there any gold standard for modeling irregularly spaced time series? Let $x$ be transcendental over $F$. Let $y=f(x)/g(x)$ be a rational function. Prove $[F(x):F(y)]=\max(\deg f,\deg g)$ Let $F$ be a field and $x$ transcendental over $F$. Let $y=f(x)/g(x)$ be a nonconstant rational function with relatively prime polynomials $f,g\in F[x]$. Prove $[F(x):F(y)]=\max(\deg f,\deg g)$.  My attempt: By replacing $y$ with $\frac{1}{y}$ if necessary we assume $\deg g\geq\deg f$. By the Euclid algorithm we assume $\deg g&gt;\deg f$. Then $\deg g=\max(\deg f,\deg g)$, let $n=\deg g$. Let $R(t)$ be this polynomial $$R(t)=yg(t)-f(t)=\frac{f(x)}{g(x)}g(t)-f(t)$$ Then $\deg R=\deg g=n$ because $n=\deg g&gt;\deg f$. The coefficients of $R(t)$ lie in $F(y)$ and hence $R(t)\in F(y)[t]$. Clearly $R(x)=0$.  Now I only have to prove $R(t)$ is actually the minimal polynomial of $x$ over $F(y)$. I believe the next step is to obtain a contradiction that $R(t)$ being reducible can lead to $f,g$ being not coprime, but I can't figure out how to do that.  P.S. A hint is preferred over a full answer. Can't install libglew-dev because libcheese and libclutter don't have the required versions I'm getting the following error message when attempting to install libglew-dev,  Reading package lists... Done Building dependency tree        Reading state information... Done Some packages could not be installed. This may mean that you have requested an impossible situation or if you are using the unstable distribution that some required packages have not yet been created or been moved out of Incoming. The following information may help to resolve the situation:  The following packages have unmet dependencies:  libcheese-gtk23 : Depends: libclutter-gtk-1.0-0 (&gt;= 0.91.8) but it is not going to be installed                    Depends: libcogl15 (&gt;= 1.15.8) but it is not going to be installed  libcheese7 : Depends: libclutter-gst-2.0-0 (&gt;= 0.10.0) but it is not going to be installed               Depends: gstreamer1.0-clutter but it is not going to be installed  libclutter-1.0-0 : Depends: libcogl-pango15 (&gt;= 1.15.8) but it is not going to be installed                     Depends: libcogl15 (&gt;= 1.15.8) but it is not going to be installed E: Error, pkgProblemResolver::Resolve generated breaks, this may be caused by held packages.   All those packages are however apparently already installed.  I have tried all possible solutions in  post, without any luck. I have not added any PPAs. The version of ubuntu is 14.04.2.  I have looked at similar posts, and tried the following:  Running  dpkg --get-selections | grep hold   prints nothing.  sudo apt-get -oDebug::pkgProblemResolver=true install -f   Gives me nothing of interest, 0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded. As shown in various episodes ("Mirror, Mirror," "Phantasms," etc.), other universes exist, oftentimes containing the same characters, albeit in different situations than in the prime universe. I'm curious, though, whether individuals that apparently exist outside of the multiverse, such as members of the Q, would not be duplicated elsewhere. It seems reasonable to me, but I'm not sure. I am trying to run grep against a list of a few hundred files:  $ head -n 3 &lt;(cat files.txt) admin.php ajax/accept.php ajax/add_note.php   However, even though I am grepping for a string that I know is found in the files, the following does not search the files:  $ grep -i 'foo' &lt;(cat files.txt)  $ grep -i 'foo' admin.php The foo was found   I am familiar with the -f flag which will read the patterns from a file. But how to read the input files?  I had considered the horrible workaround of copying the files to a temporary directory as cp seems to support the &lt;(cat files.txt) format, and from there grepping the files. Shirley there is a better way. $d_1(x_1,y_1)$ and  $d_2(x_2,y_2)$ are metric on $X$ and $d(x,y)$ is defined as: $$d(x,y)= \sqrt{d_1(x_1,y_1)^2+d_2(x_2,y_2)^2}.$$ I am trying to show this is a metric. Can you give me some clue about proving the triangle inequality for $d$ ? Thank you for your help. Front suspension or full suspension mountain bike I have a small issue with my Ubuntu (I think After an upgarde). When I try to login (Login Screen), I get disconnected and get back to the screen (again &amp; again).  I tried:   Trying to login with others Desktop environements. Booting from old kernel. log in via command line [apt-get update &amp;&amp; apt-get upgrade]. removing ~/.gconf directory. sudo apt-get install --reinstall ubuntu-desktop and sudo apt-get install unity   None of these solutions worked. Logic Behind StackOverflow Question IDs