A good edit to my answer was incorrectly rejected
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Disable flagging on old chat messages In response to the effect  is referring, I am proposing one of two possible scenarios:   Disallow flags on chat messages older than X hours, or Remove old flagged posts from the transcript, but no suspension occurs (as in the aforementioned question). Pairwise independence of Random variables does not imply indendence Show by a counterexample that for a family $(X_i)_{i\in I}$ of random variables the independence of all pairs $(X_i,X_j)$ with $i,j\in I, i\neq j$ does not imply the independence of the family (It is enough to consider $\mbox{card}(I)=3$.).      Hello, I am searching for a simple example. The professor gave the hint that one might consider random variables which only can take two different values, but I do not know exactly what is meant.  By the way:  We call the family $(X_i)_{i\in I}$ of random variables independent, if $(\sigma(X_i))_{i\in I}$ is independent, whereat we call a family $(\mathcal{E}_i)_{i\in I}$ with $\mathcal{E}_i\subset\mathcal{A}$ independent, if for any finite subset $I_0\subset I$ and any choice $E_i\in\mathcal{E}_i, i\in I_0$, it is $$ \mathbb{P}(\bigcap_{i\in I_0}E_i)=\prod_{i\in I_0}\mathbb{P}(E_i). $$ Proving a sequence converges by defining the sequence recursively. Let $a &gt; 0$. Choose $x_1 &gt;$ $\sqrt a$. Define a sequence {$x_n$} recursively as $x_{n+1} = 1/2(x_n + a/x_n)$ for $n &gt; 1$.   Prove that lim$x_n = \sqrt a$.  I think I first want to prove that {$x_n$} is bounded below by $\sqrt a$. But, I am having trouble with this. Could someone help me out a little? Integral representation $B_T^3$ I have to find a $F_t$ such that $B_T^3=E[B_T^3]+\int_0^T F_t dB_t$. I have shown by ito formula that $B_T^3=\int_0^T 3 B_s^2 dB_s+\int_0^T 3 B_s ds$. Could you please help me? Printing an SE page in Firefox shows only the first page I used to print Q&amp;A pages to keep a base of PDFs. I used either the 'print edit' addon or simply the print function of Firefox, which both allow to print a webpage in a file.  Usually the printed file for a webpage extends on 2 or 3 pages. But I'm not able to print more than one page on this site expressly anymore. No matter the method. I just get the top of each discussion. What is the best algorithm for overriding GetHashCode? Toggle Switch to swap the connections of two buttons Expressing an opinion: to me or for me? How can I lock a folder so that it CANNOT be erased? On my computer running Windows XP Pro SP3 I have a folder on my desktop that is very important. How can I lock it so that I can alter anything in it, but the folder itself cannot be removed without resetting a (lock/unlock?) switch? PhD Student : Publish Paper with Wife? How can friction do no work in case of pure rolling? I'm using tex4ht to produce XHTML files from a LaTeX file. The XHTML file I obtain uses images for some equations which tex4ht could not convert directly to XHTML.   Problem: images of equations have very bad quality.   What I want: Better quality images.  More info on attempts &amp; system:  I'm using MikTeX 2.9 under Windows Vista. I go to the command line and type htlatex document.tex "xhtml" to get the resulting XHMTL file.   After doing some search on the web, I tried to change the file tex4ht.env as mentioned in  (changing -density 110x100 to -density 220x220 -geometry 50%) in all locations I could find in my system (within the MikTeX path and also in the AppData windows directory) but the results are the same. I obtain during the compilation of hlatex the following line (among others):     System call: mgs -sDEVICE=pngalpha -sOutputFile=Untitled11x.png   -r110x110 -dEPSC rop -dBackgroundColor=16#ffffff -dTextAlphaBits=2 -dGraphicsAlphaBits=2 -q -dbat ch -dNOPAUSE zzUntitled1.ps -c quit   In particular, I would guess that the -r110x110 means resolution was still set to 110x110, despite my changes to the file tex4ht.env.  Any suggestions on how to improve the quality of equations images? I'm more of a math guy than a physics guy so bear with me....  In fractal geometry, fractals are considered to have fractional dimension. For instance an object such as the Koch curve has a fractal dimension of around $1.2$. You can also define a concept called fractal extent (which is the experimental version of hausdorff measure). This extent is a measure of how large a fractal is. It's even been used to more accurately model the distribution of coastline bird nesting.   Even though fractals work as an interpretation of geometrical units, I don't think they would describe things such as $kg^{1/2}$ very well. In addition, I've heard about white Gaussian noise that has square root time units.   What is the physical meaning of fractional units such as the above? (Since it obviously has little geometric meaning) Fast(est) and intuitive ways to look at matrix multiplication? Resize screen for Dead touch zone I have Star N7189 (5.5") with the lower zone of touch screen dead     The menu and back buttons don't work,but the physical home button works.   I tried to press hard on the edges of the screen, I tried to apply a twist from the short sides as if it were nothing but a wet towel. I did the hard reset but it did not work.  Sometimes pressing dead area, the phone takes it as menu button  As well as replacing the screen what other methods can I try? Is there any app, launcher or trick to resize the screen usable only to the working area?  P.S. a few hours after leaving it in airplane mode suddenly the touch had this problem but I do not remember if I inadvertently placed something heavy in that area of ​​the cell. Traffic (views, visits) is not correctly registered on Site Analytics or Area 51 In the ,  can monitor some things like the total traffic on the site. However, it seems to be broken at the moment, all figures are almost zero. This is how it looks for Meta Stack Exchange (other sites show similar pictures): Since Ubuntu 18.04 I can't drag a file e.g. image file to an open application such as Inkscape or  email message window. In Ubuntu 17.10 I was able to select the image file by clicking on it, and while holding down left mouse button I would hit the supper key displaying all open windows where for there I could then drop the file in any open app or folders. This is no longer possible/default behaviour since Ubuntu 18.04. Is there a workaround that would allow me to achieve this or even a way to recreate the same behaviour like in 17.10? Node Package Manager got corrupted in some way, now it cannot be installed The entire  site is blank right now.  The header and footer are shown, but no questions. How do I run a batch file from my Java Application?