How to use possessives when the subject has a number after? I have a question about possessives.  While "Peter's ball" is easy and clear.  How do I express the notion of "the ball that belongs to agent 2"?  Would it be "agent's 2 ball" or "agent 2's ball" or what else?
"The queen of England's crown" or "The queen's of England crown"? Possible Duplicate:          What is the correct way of these two sentences?   The queen of England's crown The queen's of England crown   Strictly linguistically, sentence 2 should be the correct one, since the crown belongs to the queen and not to England but it sounds really awkward to pronounce.
Windows 8 Setting an image on the login screen In Windows 8.1 when you log in there's the prelogin screen that has an image you can change, but then there's also the login (password entry) screen that as far as I can see is just a solid color.  How could I replace that with an actual picture? (ie, if I wanted a company logo to be displayed in the large space underneath the password entry box. com.google.android.trichromelibrary causes many Android apps to crash Recently, apps that are fine an hour ago now crash when I open them. The crash report message seems to be caused by a null pointer exception (NPE) in com.google.android.trichromelibrary. Apps affected for me:  Gmail Dashlane  Is it just me, or is there actually something wrong with the library? How can I fix these affected apps? Crash report: *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** Build fingerprint: 'Xiaomi/polaris/polaris:10/QKQ1.190828.002/20.9.4:user/release-keys' Revision: '0' ABI: 'arm64' Timestamp: ... pid: ..., tid: ..., name: com.dashlane &gt;&gt;&gt; com.dashlane &lt;&lt;&lt; uid: ... signal 11 (SIGSEGV), code 1 (SEGV_MAPERR), fault addr 0x0 Cause: null pointer dereference          ...  backtrace:     #00 pc 00000000038621f0 /data/app/ com.google.android.trichromelibrary 438909034-YaxP9ttrIDcQBfleP5vm7Q==/base.apk! libmonochrome_64.so (offset 0x646000) (BuildId: ... )  (click  for the screenshot of the bug report) Can I visit Schengen countries on a Type-D Schengen Visa? Can I mill my opponent into defeat with Mindcrank and Duskmantle Guildmage? Okay the scenario I'm thinking of is as follows:   I control a ,  and 3 untapped lands (2 swamps, 1 Island to be perdantic). In my opponents turn he casts a burn spell to kill my duskmantle.   I activate his first ability in response.   The way I am hoping the following interactions will go is:   Duskmantles ability will hit the stack at the top and resolve The burn spell resolves dealing its damage to Duskmantle The burn spell card hits the graveyard and triggers the infinite loop for duskmantle and mindcrank killing my opponent Duskmantle perishes   Is this the way that the stack would pan out? Do I win in this situation regardless of the stack being correct or not above? (I am not fully familiar with how the stack really works in magic) You can see the cards from my deck . Intuition behind the Definition of Conditional Probability (for 2 Events) How do I copy a string to the clipboard? Set theory: difference between belong/contained and includes/subset? This is a total noob question.  I am reading , and I'm having difficulty to understand something which seems to be trivial.  In the first chapter he writes:     If $x$ belongs to $A$ ($x$ is an element of $A$, $x$ is contained in $A$), we shall write      $x\in A$   I understand this.  Then, he write:     If $A$ and $B$ are sets and if every element of $A$ is an element of $B$, we say that $A$ is a subset of $B$, or $B$ includes $A$, and we write:      $A \subset B$   I understand this too.  Then he says:     The working of the definition implies that each set must be considered to be included in itself ($A \subset A$); this fact is described by saying that set inclusion is reflexive.   I understand this too.  But then:     Observe that belonging ($\in$) and inclusion ($\subset$) are conceptually very different things indeed. One important difference has already manifested itself above: inclusion is always reflexive, whereas it is not at all clear that belonging is ever reflexive. That is: $A \subset A$ is always true;  is $A\in A$ ever true? It is certainly not true of any reasonable set that anyone has ever seen.   And this is where I don't think I understand anything.  There is not more elaboration on this point in the text.  I tried to skip this but it seems it is quite fundamental for understanding what follows in the book.  Could someone explain what is meant here? Prove ${n - 1 \choose k - 1} + {n - 2 \choose k - 1} + {n - 3 \choose k - 1} + \dots + {k - 1 \choose k - 1} = {n \choose k}$ I'm trying to find the infinite sum that is defined by:  $$ 3 \cdot \frac{9}{11} + 4 \cdot \left(\frac{9}{11}\right)^2 + 5 \cdot \left(\frac{9}{11}\right)^3 + \cdots $$  However, I do not know of any known formula to do this. Am I missing something really simple? Thanks! How to Implement Page Object and Page Factory Pattern in Selenium Webdriver? Making Ctrl+C copy text in gnome-terminal? Is it possible for me to make Ctrl+C perform a copy command if there is highlighted text in the terminal? Otherwise, it should retain its normal behavior.  (If there is a terminal that can do this other than gnome-terminal, that's probably fine too.) How do I set the bootloader so that in my dualboot with Windows 7/Ubuntu 11.04, Windows start up as standard instead of Ubuntu? Finding the radius of a third tangent circle Sorry if this is a foolish question, but I'm having difficulty understanding how to solve for $r_3$ in the following diagram...    According to WolframAlpha's page on tangent circles, the radius of $c_3$ can be calculated using the following formula $r_3=\frac{r_1 \times r_2}{(\sqrt{r_1}+\sqrt{r_2})^2}$, which can be simplified to $\frac{1}{\sqrt{r_3}}=\frac{1}{\sqrt{r_1}} + \frac{1}{\sqrt{r_2}}$.  To be completely honest, I'm having a hard time understanding understanding how this formula works (as I'm a very visual person). What exactly is happening here? Distance metric for (infinite) lines in 3D I would like a metric $d(\;)$ between pairs of (infinite) lines in $\mathbb{R}^3$, with these properties:   If two lines $L_1$ and $L_2$ are parallel and separated by distance $x$, then $d(L_1,L_2) = x$. $d(L_1,L_2)$ increases with the degree of skewness between the lines, i.e., the angle $\theta$ between their projections onto a plane orthogonal to the shortest segment connecting them (dashed below), where $\theta=0$ for parallel lines and $\theta=\pi/2$ for orthogonal lines. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;   Intuitively, I would like the metric to be related to the repulsive force between two electrically charged lines (but it need not be exactly the actual physical force).  Have such metrics been considered in the literature? If so, I'd appreciate descriptions and/or pointers&mdash;Thanks!  Update1. It turns out that the natural ad hoc definition (from the comments) fails to be a metric. For example, below, a sufficiently large value of $a$ ensures the triangle inequality will be violated: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; So this question may be more difficult than it initially appeared...  Update2.  The  have revealed that in fact there is no metric that satisfies my two conditions (and is continuous w.r.t. $\theta$)! Suggested edit review should show custom rejection reasons Somewhat similar to , but rather more limited: when Rejecting an edit, not only the count of custom rejection reasons but the actual text of the reasons should be shown, IMO. Just now I  on SO that tidied some code in a trivially correct and substantially superior way because it looked perfectly legitimate and I couldn't understand why anyone would bother with a custom rejection reason. As it turned out, it was code in a question, of course.  In this case, the rejection reason correctly identified the problem, and had I seen it, I would have been reminded of that aspect I had neglected to check. How to tell Google to ignore URL parameters and forget about any already crawled? How can friction do no work in case of pure rolling? Indefinite article and people's names Sometimes, on the internet, particularly in online games, I see people using the  indefinite article before someone's name: "I see a Joey" or "I hug a Polly". I know some of these people and I'm positive that they are from English-speaking countries, which means it is not a mistake, they do it intentionally.  I was always taught that articles are not used in front of people's names. Maybe it is some sort of slang? What does it mean, when the indefinite article is put in front of someone's name?  Edit: There is a group of people standing somewhere. And somebody, named Joey, appears. They all know Joey. And someone in this group says "I see a Joey". So it is used when someone sees his or her friend. But I don't understand why they use the indefinite article here. Transpose/Unzip Function (inverse of zip)? Multivariable Delta Epsilon Proof $\lim_{(x,y)\to(0,0)}\frac{x^3y^2}{x^4+y^4}$ --- looking for a hint