A huge discussion between my friends and I is Holdo's past with Leia, and what Planet Holdo is from. Holdo seems to indicate that her species learned a lot from the 'Rebels' and obviously has had a past of admiration with Princess Leia. What all is know about the purple haired species? Do they have a traditional male/female gender system?
prominently sports purple hair.    Is this her natural hair color?  Natural extensions in the answer depending on the correct answer: Is she wholly human and humans in the Galaxy Far Far Away can have this hair color?   Or is she partly human or not human?   Or does she dye her hair?   Or is there another hair color changing technology?
Wouldn't it be nice if we have a command to end an environment in a generic way? Example:  \begin{itemize}    \item Apple    \item Banana \endenv       % replaces / is an alternative to, \end{itemize} or any other environments.   so that if I change my mind, I can just replace the first line with, for instance, \begin{enumerate}, without changing the closing part. This is also useful when one changes from normal to starred environment, etc.  This feature would serve as an alternative to the normal closing, which will still be available. And this hypothetical \endenv can be restricted to work only for 'normal' environment, and will not work for complex ones such as verbatim, frame, listings.  Should we have that \endenv? Is there already a package for this feature?  Edit:  To future visitors: from the accepted answer below one can see that this is not a very good idea. If one still demands the presumed convenience, this kind of thing should/can be delegated to the editor. Probability of first actor winning a "first to roll seven with two dice" contest? Merging multiple vector layers to one layer using QGIS Assumptions of linear models and what to do if the residuals are not normally distributed I am a little bit confused on what the assumptions of linear regression are. So far I checked whether:  all of the explanatory variables correlated linearly with the response variable. (This was the case) there was any collinearity among the explanatory variables. (there was little collinearity). the Cook's distances of the datapoints of my model are below 1 (this is the case, all distances are below 0.4, so no influence points). the residuals are normally distributed. (this may not be the case)  But I then read the following:  violations of normality often arise either because (a) the distributions of the dependent and/or independent variables are themselves significantly non-normal, and/or (b) the linearity assumption is violated.  Question 1 This makes it sound as if the independent and depend variables need to be normally distributed, but as far as I know this is not the case. My dependent variable as well as one of my independent variables are not normally distributed. Should they be? Question 2 My QQnormal plot of the residuals look like this:   That slightly differs from a normal distribution and the shapiro.test also rejects the null hypothesis that the residuals are from a normal distribution: &gt; shapiro.test(residuals(lmresult)) W = 0.9171, p-value = 3.618e-06  The residuals vs fitted values look like:   What can I do if my residuals are not normally distributed? Does it mean the linear model is entirely useless? $X/{\sim}$ is Hausdorff if and only if $\sim$ is closed in $X \times X$ $X$ is a Hausdorff space and $\sim$ is an equivalence relation.  If the quotient map is open, then $X/{\sim}$ is a Hausdorff space if and only if $\sim$ is a closed subset of the product space $X \times X$.  Necessity is obvious, but I don't know how to prove the other side. That is, $\sim$ is a closed subset of the product space $X \times X$ $\Rightarrow$ $X/{\sim}$ is a Hausdorff space. Any advices and comments will be appreciated. We were asked to prove the following:  Let $ A $ be an $n \times n$ matrix with $n$ distinct real eigenvalues. If $AB=BA$, show that $B$ is diagonalizable.   It was suggested I show that an eigenvector of $A$ is also an eigenvector of $B$. I am both having trouble doing this and failing to see how I would complete the proof after. Any help would be appreciated.  Thanks I have a question about editing practices:  Does it look good to edit a question you have just answered?  For example: say I had just answered a question, then saw that the question had some minor formatting issues. Should I edit it? Does it turn up voters off when they see that I am answering a question I changed, possibly to better suit my answer? PHP: How do you determine every Nth iteration of a loop? $ f:\mathbb C\rightarrow \mathbb C$ defined by $f(z)=0$, if $Re(z)=0$ or $Im(z)=0$ and $f(z)=z$, otherwise. How to redirect output to a file and stdout In bash, calling foo would display any output from that command on the stdout.  Calling foo &gt; output would redirect any output from that command to the file specified (in this case 'output').  Is there a way to redirect output to a file and have it display on stdout? Extracting Windows 8 Start Screen Patterns Is there any way to extract the Windows 8 Start Screen patterns, in order to use them as standalone wallpapers on other systems?  For example see this screenshot:    I am interested in the dark blue background. I heard that this background is somehow adapted to your chosen color theme. So many different variations should exist.  Engadget has an article  briefly talking about these background patterns and the different color schemes. They call them "personalization tattoos".    Update:    I found the following page/guide:   This looks a very good way to achieve my goal. Unfortunately the guide seems to be dated.  I tried to find shsxs.dll on the RTM of Windows 8 without much luck. It looks like Microsoft changed the way they handle the background image. The file is nowhere to be found...  I also looked into uxtheme.dll, but it doesn't contain any interesting images.  Any new ideas? Any other *.dll with might be of interest here? What's a word/phrase for a player/seducer? I can't seem to remember this particular word/phrase. I'm almost certain it's a two-word phrase. It specifically refers to someone who is skilled with the ladies, ie, someone who knows the tricks of the trade.  Usage: - "Unless you're a X-Y, that's not going to work with her."  Edit :  I'm not looking for 'ladies man', 'casanova', 'womanizer' etc. This phrase refers to someone who's more of a pro and one who is serious about his business. If a factor variable (e.g. gender with levels M and F) is used in the glm formula, dummy variable(s) are created, and can be found in the glm model summary along with their associated coefficients (e.g. genderM)  If, instead of relying on R to split up the factor in this way, the factor is encoded in a series of numeric 0/1 variables (e.g. genderM (1 for M, 0 for F), genderF (1 for F, 0 for M) and these variables are then used as numeric variables in the glm formula, would the coefficient result be any different?  Basically the question is: does R use a different coefficient calculation when working with factor variables versus numeric variables?  Follow-up question (possibly answered by the above): besides just the efficiency of letting R create dummy variables, is there any problem with re-coding factors as a series of numeric 0,1 variables and using those in the model instead? Prove that$$\overbrace{\binom n 0 + \binom n 1 + \binom n 2 + \cdots + \binom{n}{\frac{n-1} 2}} + \overbrace{\binom n {\frac{n+1} 2} + \cdots + \binom n {n-1} + \binom n n} = 2^n. $$   Background:  This problem came from the following link:    and I didn't understand why that was true in which no one on the page has proved it to be so. and i was wondering what was the proof on that Do potion effects affect the ender dragon? I am at the ender dragon and have tons of Potions of instant damage. I never got into range, but do the effects even do anything? Empty intersection and empty union Rings, ideals and units-proof Let $R$ be a ring and let $J$ be an ideal of $R$. Assume $J$ contains   a unit of $R$. Prove $J=R$, rigorously.   Again I feel here as if the statement is intuitive so I am not able to make it rigorous. If you could show all steps in the proof that would be nice. Beamer: Change only several bullets in the list I would like to change the bullets in the second itemize to arrows.  \begin{alertblock}{The Aim of this Research}      \begin{itemize}         \item Item 1         \item Item 2             \begin{itemize}                 \item Item 2-1                 \item Item 2-2             \end{itemize}     \end{itemize}  \end{alertblock}   Form above, I would like to make:  ・Item 1  ・Item 2    =&gt; Item 2-1  (change bullet to arrow)    =&gt; Item 2-2   I've tried inserting \renewcommand{\labelitemii}{$\rightarrow$} before and after the second \begin{itemize} and , but they don't work. Maximum and minimum of $f(x)=\cos(\sin(x))-\sin(\cos(x))$ Given the function: $$f(x)=\cos(\sin(x))-\sin(\cos(x))$$ it has absolute maxima at $x=(2k+1)\pi$ with $k=0,1,..N$ and relative maxima at $x=2k\pi$. It is not clear where are the minima. Putting the derivative to zero doesn't help. Any suggestion on how to find the minimum value and where is it? Thanks. Do all accepted students in top-tier engineering programs get invited to interview before getting admitted?