When ANY is modified by a prepositional phrase that is plural, is the verb singular or plural?  For example:   Whether any of the doors along the hallway is open or not Whether any of the doors along the hallway are open or not     This is not a duplicate of the linked question, which asks about the difference in usage between things like "any book" (with a singular noun) and "any books" (with a plural noun).
I always thought with "any" I should use the plural, but on the internet I can find both:   It can be found in any book. It can be found in any books Do you have any books? It can be said in any language.  This can be understood by anyone.  It has been used in any form.   So, what's correct?  Is there any rule?
$$\lim\limits_{n\to\infty} \int_{0}^{1} f(x^n)dx = f(0)$$  when f is continuous on $[0,1]$  I know it can be proved using bounded convergence theorem but,  I wanna know proof using only basic properties of riemann integral and fundamental theorem of calculus and MVT for integrals ...   Thank you. I'm in the market for a new Smartphone. Except for iPhone's, I'm new in the field and probably have some misconceptions.  My first choice was the Google Nexus S, but I was offered a great deal on the Samsung S Galaxy II (i9100). The only issue is that I read that it came with an "enhanced" version of Android. Being familiar with PC's, I know that these enhancements are almost always bloatware: I always do a clean install of Windows to get rid of it.  My question is fairly simple: is this possible to use the stock Google Android OS on the Samsung S Galaxy II (i9100)? That was the killer feature of the Nexus S for me: coming directly from Google, easily upgradable. Would that be possible and if yes, how?  Thank you for enlightening me. How are PCA and classical MDS different? How about MDS versus nonmetric MDS? Is there a time when you would prefer one over the other? How do the interpretations differ? The new Top-Bar does not show reputation changes from Area 51. I have two PHP scripts, both using the same session by calling session_name('MySessID').  When the first script calls the second script using curl, the second script hangs when session_start() is called.  Why would this happend? When I've worked a bit with my source code, I did my usual thing commit and then I pushed to a remote repository. But then I noticed I forgot to organize my imports in the source code. So I do the amend command to replace the previous commit:  &gt; git commit --amend   Unfortunately the commit can't be pushed back to the repository. It is rejected like this:  &gt; git push origin To //my.remote.repo.com/stuff.git/  ! [rejected]        master -&gt; master (non-fast forward) error: failed to push some refs to '//my.remote.repo.com/stuff.git/'   What should I do? (I can access the remote repository.) Model selection with low N? I've got a study which is kinda messed up by the design...Turns out I ended up with about 50 patients of which 80% have the outcome and 20% don't (binary outcome).  I've been turning in my bed for the last month trying to figure out what to do with this. The only real answer is "don't" but I have to deliver something in the next days as it's part of a master's thesis.  I have about 10 predictors of interest for the outcome (various variable types) and the research question is whether any of these predictors can predict the outcome. Some already have an established correlation in the literature while some are original hypothesis. Several are significant with a univariate logistic regression, but it doesn't look good in any other way than the actual p-value.  Now obviously I'm not going to be able to answer this research question sufficiently but if you were in my shoes, what sort of statistical analysis would you perform to relay to your supervisors?  EDIT: Link to my (anonymized) data (CSV): Add Windows 10 to GRUB OS list Dropdownlist control with s for asp.net (webforms)? Can anyone recommend a dropdownlist control for asp.net (3.5) that can render option groups? Thanks If I have a native C++ windows program (i.e. the entry point is WinMain) how do I view output from console functions like std::cout? Few days back I have installed ecryptfs, created a private directory using it. Now my Ubuntu login became super slow. I have tried removing ecryptfs from Synaptic. I found It, it can not be deleted that way. Somewhere I have read about this command  ecryptfs-setup-private --undo   But this command displays a rather confusing list of commands on terminal. I don't want to mess up my installation, neither want to loose my administrator account.  Now my question is, how can I safely remove /home/user/Private (.Private) and remove ecryptfs encryption ? Multiple domains for different products? I have a website with software applications. Is it good for SEO to choose one keyword rich domain name for each of our software products or should we stick to a single domain?  From a user's perspective I think it would be easier to remember a domain that is keyword rich as the user will instantly know what this product is for.  But I have read articles that the latest trend in SEO is to stick to one domain for all of your products and invest on this single domain website.  Is that true? What do you advise? Should I register a separate domain for each of our products or should I use only one single domain?  Should I do a 301 redirect with a .htaccess to a single domain? And what about the sitemaps? Should I register all sites in Google Webmaster Tools and post a separate sitemap for each one of them? should my main site sitemap include all pages or should separate domains have their own sitemaps? Tensor product vs. Cartesian Product for composite quantum systems How are Clash of Clans multiplayer battles determined Are battles determined by level or trophies? Just curious. Apologies for this possibly too vague question, but are there some general guidelines to follow when rendering artificial 3D meshes together with an imported 2D image as the background?  In the attached Blender file (or rendered image), the cube looks so out-of-the-scene. Some reflection from the green background onto the cube should make the cube more realistic in the scene? I don't know how to put it in professional terms -- any suggestions are welcomed! Book about space alien cats I read a book when I was young, it was about space alien cats. I believe the title was Quzzles, but I really don't know. The book was stolen from me before I was finished. I don't know much else about it. How to draw arrows between circled coefficients of polynomials using tikz After reading Gonzalo's answer to , I thought  I would be able to modify it so that I could have the corresponding coefficients circled and an arrow going from one circle to the next. For example, I would like the coefficient of x^2 on the left, a, circled and the coefficient of x^2 on the right, 5 circled, then a curved arrow drawn between the two circles. How might I achieve this? Also, how would I add some text along the path of the arrow? I reproduce his code here.  \documentclass{article} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{calc}  \newcommand{\tikzmark}[1]{\tikz[overlay,remember picture] \node (#1) {};}  \begin{document}  \begin{equation}   a\tikzmark{a}x^2 + bx + c = 5\tikzmark{b}x^2 + bx + c.   \begin{tikzpicture}[overlay,remember picture,out=315,in=225,distance=0.4cm]     \draw[-&gt;,red,shorten &gt;=3pt,shorten &lt;=3pt] (a.center) to (b.center);   \end{tikzpicture} \end{equation}  \end{document} How can I get distribution name and version number in a simple shell script? SQL group by day, show orders for each day I have an SQL 2005 table, let's call it Orders, in the format:  OrderID, OrderDate,  OrderAmount 1,       25/11/2008, 10 2,       25/11/2008, 2 3,       30/1002008, 5   Then I need to produce a report table showing the ordered amount on each day in the last 7 days:  Day,        OrderCount, OrderAmount 25/11/2008, 2,          12 26/11/2008, 0,          0  27/11/2008, 0,          0  28/11/2008, 0,          0 29/11/2008, 0,          0 30/11/2008, 1,          5   The SQL query that would normally produce this:  select count(*), sum(OrderAmount)     from Orders     where OrderDate&gt;getdate()-7     group by datepart(day,OrderDate)   Has a problem in that it will skip the days where there are no orders:  Day,        OrderCount, OrderAmount 25/11/2008, 2,          12 30/11/2008, 1,          5   Normally I would fix this using a tally table and outer join against rows there, but I'm really looking for a simpler or more efficient solution for this. It seems like such a common requirement for a report query that some elegant solution should be available for this already.   So: 1. Can this result be obtain from a simple query without using tally tables?  and 2. If no, can we create this tally table (reliably) on the fly (I can create a tally table using CTE but recursion stack limits me to 100 rows)? Network simplex method, leaving and entering variables Could someone give me a hint on this question, which is a past exam question:     Under what circumstances will an entering variable in the network simplex method be the same as the leaving variable?   Thank you for your help.