Isn't this sentence:     He stole the singer of that band's wife.   a wrong attempt at saying:     He stole the wife of that band's singer.   Someone pointed this out:     The &lt;singer of the band&gt;'s wife is the wife of the &lt;singer of the band&gt;. The wife of the &lt;singer of the band&gt; is the wife of the &lt;band's singer&gt;.      Apostrophes aren't that hard.   I guess my question is - can you place an 's targeting a previous, but not necessarily the last word in a sentence?  Thanks.
Please don't throw this one out as a duplicate of  I'm not asking about the plurality of the noun immediately following those two words - I'm interested in exactly why the example below is problematic (context: I have several children, one named John)...     1: One of my children's name is John.   I can't see any obvious reason why singular name there is completely unacceptable, but it certainly doesn't sit well with me. It seems to turn on whether one of my children can be treated collectively as the "subject" of the Saxon genitive 's, but I don't see a problem with...     2: It's actually one of my children's, but you can sleep in this bed.   I realise that in practice we'd normally pluralise names in the first example. But of course, this implies that one of attaches to my children's names, which isn't really the same construction.  So - is there some kind of "rule, principle" debarring #1 above? Or is it just "one of those things"?    (Apologies if my later switch from brothers to children invalidates any comments or answers.)
"Be yet to do" vs "have yet to do" This theory has yet to be proven. This theory is yet to be proven. This is yet to be done. This has yet to be done. I have yet to spend summer in the mountains. I am yet to spend summer in the mountains.  Are they all correct? How are &quot;have yet to do&quot; and &quot;be yet to do&quot; different? Thank you! Retain precision with double in Java How to enable crash reports/core dumps/stack trace logging globally? Crashing bugs can be the most annoying ones, leading to data loss, downtime and frustrated users. It would be good if applications crashed less.  Because of the complexity of the machine context, crashes often can't be reproduced in reasonable time for an ordinary user. That doesn't mean that the bug is rare - It could simply mean that the thing that triggers it occurs rarely for each user (for example DST changes). Such bugs are unlikely to be fixed unless a lot of users report them. It would be good if more crashes were reported.  To debug crashes, the developers need as much unambiguous context as possible. Generated crash reports are good, because they're usually detailed and accurate. Users can't be expected to zealously observe and report all the context manually, so they often submit sparse and wrong information.  The target audience for a lot of applications is not developers or sysadmins, but rather the general public, at home or at work. Such users can't be expected to know how to collect crash information manually, or to install -dbg packages, but generated reports from such users can still be usable. Some applications have their own crash reporting tools, but in my experience these rarely work, and when they report that they failed to report the error there doesn't seem to be any information on how to do it manually (I've observed this for recent versions of both Firefox and Flash). System-wide generation of crash reports would be good.  Is there any sort of crash report generation* which can be enabled globally** without installing a ton of -dbg packages, reading the documentation of each and every application, or slowing a normal machine down to a crawl?  * Logs, core dumps, stack traces, whatever  ** Not necessarily for init, but at least for a significant subset of the applications running on a typical desktop Linux installation. In my experience GUI applications crash 100+ times more frequently than shell applications, so GUI applications would naturally be the focus. How can I redefine \int to put a negative space after the integral sign, but keep the limits properly set? I'd like to modify the \int command such that it adds an automatic negative space, e.g. \! after the integral sign. Preferentially, I'd like to be able to not edit any of my code, so cleverly redefining \int seems like my best option. Unfortunately, naive implementations get the limits wrong:  \documentclass{article} \usepackage[intlimits]{amsmath} \usepackage{ifthen}  \newcommand{\diff}[2][]{   \ifthenelse { \equal {#1} {} }   {\ensuremath{\mathop{\mathrm{d} #2}}}   {\ensuremath{\mathop{\mathrm{d}^#1 #2}}} }  \begin{document}  This is what I would want: \begin{equation}  \int_0^\infty \mspace{-4mu}\diff[3]{\boldsymbol r} f(\boldsymbol r), \end{equation} but with this ``user code", containing no negative spacing explicitly: \begin{verbatim}  \int_0^\infty \diff[3]{\boldsymbol r} f(\boldsymbol r), \end{verbatim} which for comparison with the above gives: \begin{equation} \int_0^\infty \diff[3]{\boldsymbol r} f(\boldsymbol r), \end{equation}  mostly because this gives me the option to remove it or change the spacing when I see fit. \end{document}   Which results in: Constants and compiler optimization in C++ I've read all the advice on const-correctness in C++ and that it is important (in part) because it helps the compiler to optimize your code. What I've never seen is a good explanation on how the compiler uses this information to optimize the code, not even the good books go on explaining what happens behind the curtains.    For example, how does the compiler optimize a method that is declared const vs one that isn't but should be. What happens when you introduce mutable variables? Do they affect these optimizations of const methods? Subsubsection: remove the newline (like paragraph) Using the article document class, how can one remove the newline at the end of a subsubsection title?  I am using \documentclass{article}; I do not currently use titlesec or any of the alternatives; I do use fancyhdr. Level 10 vim adventures beers on the wall complete solution I saw this question  but it doesn't have a full solution. What is the full solution to the 99 bottles of beer on the wall for Vim adventures?  Context: for the sake of being a good SO member I will give more details but a full solution will answer my question. It seems from reading the other post that my register is incorrect for some reason. I can't get the &lt;NL&gt;. I think that's the issue since pasting won't work... Is LAN with StarCraft 2 definitely not possible? Prove universal morphism is unique up to unique isomorphism. I'm following along Wikipedia page() on universal property, and this seems it should be trivial, but I couldn't finish the proof.  The definition I am working with:   The problem   So I want to prove that if $(A, u)$ and $(A', u')$ are universal morphism from $X$ to $F$, then there exists unique isomorphism $k: A \rightarrow A'$ such that $u' = F(k) \circ u$.   My attempt:   For any $B \in C$ and $f: X \rightarrow F(B)$, there exists unique $h: A \rightarrow B$ such that $f = h \circ u$.  Letting $B = A'$ and $f = u'$, we see that there exists unique $k: A \rightarrow A'$ such that $Fk \circ u = u'$.  This shows existence and uniqueness. We only need that $k$ is isomorphism, but this is the part I cannot prove.   Similarly, there exists unique $k': A' \rightarrow A$ such that $Fk' \circ u' = u$.  Plugging into each equation, we get  $$Fk \circ Fk' \circ u' = F(k \circ k') \circ u' = u'$$  $$Fk' \circ Fk \circ u = F(k' \circ k) \circ u = u$$  but this of course doesn't imply $F(k \circ k') = id$, so it seems useless.   Thanks for your help! Cannot empty trash I am trying to empty my trash, and it keeps giving me an error message that says,      .Trash can't be opened right now because it's being used by another task...     I have tried restarting my computer, running Finder > Secure Empty Trash everything yields the same result and error message from above. Inductive proof that there are infinitely many pairs of consecutive powerful integers? Is “ ’s ” ever correct for pluralization? A relatively modern dictionary (I don’t know which one, because we’ve cut out the pages and used them as wallpaper in our bathroom, but I know it’s less than 20 years old) indicates that R’s is one correct pluralization of R, as is Rs, but whichever dictionary this is, it’s kind of a no-name brand, so I’m not sure I trust it.  I’ve always wondered what the best way was to pluralize single letters or numerals, like 2’s or 2s.  What’s correct? How do I get my C# program to sleep for 50 msec? How do I get my C# program to sleep for 50 milliseconds?  This might seem an easy question, but I'm having a temporary brain failure moment! Ways of getting a number with $n$ dice, each with $k$ sides Assume the dice are numbered from $1$ to $k$. My hunch is that this will form a normal distribution with a median at $n\cdot\frac{k}{2}$. However, I have no idea as to    turn this fact into an answer (I have a minimal knowledge of stats, but I know that I am missing the standard distribution) and this is probably the wrong approach   How can I approach and solve this problem? (Aside, this is not for a class, stats or other, so any and all approaches welcome).  *Edit: * I want to find the number of ways that the sum of the numbers that are rolled has a particular value, if $n$ dice are rolled, and each has $k$ sides, numbered $1$ to $k$. Securely erasing all data from a hard drive I am about to sell my old desktop PC and I am cautious about some of my sensitive information being available to the purchaser, even after reformatting the hard-drive, using data recovery software.  How can I securely wipe the hard drive so that the data on it cannot be recovered?  Although I specifically want help with my Windows PC, it wouldn't hurt if there were suggestions for Macs as well. Remove the extra headers from the e-mails sent I am fairly new to Unity3D experience , but I have a very good knowledge of Java and Android development. I am really confused that if Java is at all needed for developing android applications? I read somewhere in Unity documentation that adding behaviour to objects in Unity requires use of scripts, and that unity only supports C# , .Net , and Boo scripts. Is there no use of Java at all? Run cmd.exe in Administrator mode without explorer.exe Counting surjective functions We have $r$ objects and $n$ boxes. I have to count all the combinations possible if the objects and boxes could be both different. If that happens I can count the number of variations from $n$ to $r$ (number of functions between objects and boxes). I mean, $n^r$.  But if I have to count all the combinations possible if anyone of the boxes is empty ($r\ge n$). Now I have to count the surjective functions.  For example if I have $r$ objects and 1 box. The number of surjective functions is 1. Then, if I have $r$ objects and 2 boxes, the number of surjective functions is $2^r-2$. And finally if I have $r$ objects and 3 boxes, I will count $3^r-2\cdot[3\cdot2^r-3]$. How do I get the formula for $r$ objects and $n$ boxes? Dissolve (merge) polygons QGIS based on attribute values only when are adjacent