can you model a square in an equation ?  like a circle for example $r^2 = x^2 + y^2$  and lets say we have a square with: centered at $(3,3)$  $2 \leq x \leq 4$ and $2 \leq y\leq 4$  can we somehow make an equation for that square ?
I need to graph a rectangle on the Cartesian coordinate system. Is there an equation for a rectangle? I can't find it anywhere.
What is the pronunciation of the possessive words that already end in s? Possible Duplicate:           My name is Greg — this is Greg 's post.  If my name ended with an 's', I am aware of the proper apostrophe usage (James&nbsp;→ James'), but how should this be pronounced?  Phonetically, am I Jameses best friend or James best friend? Uk Visa Refused need guidelines etc,,, Formal basis for variable substitution in limits What is the need of complex functions in wave analysis? It is commonly known that waves can be express in terms of sine or cosine function. But when I study further, I seen that for analyising the waves, it is common to use complex functions in the form $$y=y_{_0}e^{i(kx-\omega{t})}$$ where $y_{_0}$ is the amplitude, $k$ is the wave number, $\omega$ is the angular velocity and $x$ &amp; $t$ are position an time respectively. Ofcourse, I know that the function $e^{ix}$ can be written in the form $\cos{x}+i\sin{x}$ and so it is a periodic function with period $2\pi$ but my question is for what purpose we define it in terms of complex numbers? It seem to be more convenient to use real functions for real variables such as amplitude, electric and magnetic field of an electro magnetic wave, and also in quantum mechanics. What actually this interpretation means or what is the advantage of such functions? WPF Binding to Grid Column Width I'm attempting to bind a DependancyProperty in one of my usercontrols to the Width property of a Column in a Grid.   I have code similar to this:  &lt;Grid x:Name="MyGridName"&gt;     &lt;Grid.ColumnDefinitions&gt;         &lt;ColumnDefinition x:Name="TitleSection" Width="100" /&gt;         &lt;ColumnDefinition Width="*" /&gt;     &lt;/Grid.ColumnDefinitions&gt;      &lt;Grid.RowDefinitions&gt;...&lt;/Grid.RowDefinitions&gt;      &lt;GridSplitter x:Name="MyGridSplitter" Grid.Row="0" Grid.Column="0" ... /&gt; &lt;/Grid&gt;   In a separate Usercontrol I have the followingDependancyProperty defined.  public static readonly DependencyProperty TitleWidthProperty = DependencyProperty.Register("TitleWidth", typeof(int), typeof(MyUserControl));  public int TitleWidth {     get { return (int)base.GetValue(TitleWidthProperty); }     set { base.SetValue(TitleWidthProperty, value); } }   I am creating instances of the Usercontrol in code, hence I have a binding statement similar to this :  MyUserControl Cntrl = new MyUserControl(/* Construction Params */); BindingOperations.SetBinding(Cntrl , MyUserControl.AnotherProperty, new Binding { ElementName = "objZoomSlider", Path = new PropertyPath("Value"), Mode = BindingMode.OneWay }); BindingOperations.SetBinding(Cntrl , MyUserControl.TitleWidthProperty, new Binding { ElementName = "TitleSection", Path = new PropertyPath("ActualWidth"), Mode = BindingMode.OneWay }); /* Other operations on Cntrl */   The first binding defined works fantastically, although that is binding to an actual UIElement (in this case a Slider), but the Binding to "TitleSection" (which is the ColumnDefinition defined in the Grid) fails. Putting a breakpoint in the code and doing a watch on "TitleSection" returns the expected object.   I am beginning to suspect that a x:Name'd ColumnDefinition can't be bound to. Can anyone suggest how I might be able to bind to the changing width of the first column in my grid?  EDIT #1 - To answer comments  The databinding 'fails' in the sense that with a breakpoint set on the setter for the TitleWidth property, and using the GridSplitter control to resize the first column, the breakpoint is never hit. Additionally, code I would expect to be fired when the DependancyProperty TitleWidth changes does not get executed.  The usercontrol is being created and added to a Stackpanel within the Grid in the Window_Loaded function. I would expect that the Grid has been rendered by the time the Usercontrols are being constructed. Certainly the x:Name'd Element TitleSection is watchable and has a value of 100 when they are being constructed / before the binding is happening.  EDIT #2 - Possibly something to do with this?  I've been having a sniff round the MSDN pages for the Grid ColumnDefinition documentation and have come across  but I can't get my head around how I can use this in a binding expression. I cannot use the associated GridLengthConverter as a converter in the binding code as it does not derive from IValueConverter.   I am leaning towards somehow binding to the ActualWidth property of one of the cells in the Grid object. It doesn't seem as clean as binding to the column definition, but at the moment I cannot get that to work. Is there a way to see my previous performances with respect to winter-bash? May be something like leagues for winter-bash? I understand that hats are different each year, but at least it would be nice to see the number of hats collected. Algorithm faster than Newton's for calculating $\sqrt{2}$ How to forbid keyboard shortcut stealing by websites in Firefox Many websites, especially everything involving rich text editing (this site is guilty as well), steal keyboard shortcuts normally used to control Firefox and make them do something else instead. It is totally infuriating when I press something like Cmd-number, Cmd-L, Cmd-T, or Cmd-K and it doesn't do what I want it to. Can I make it stop?  Actually, it would probably be for the best if I could forbid stealing of all Cmd-* shortcuts. I've never seen them used for anything useful. Is it possible? Is the below a valid circuit implementation and are there any things to watch out for? It's a simplification of the larger circuit but the crux of it is that I need to sink current into two GPIO input pins. The pins are signified by the 1 and 0.  Also, would a diode on the pins be advisable?    Edit: Here's the non-simplified circuit. The question relates to the 3.3v part of it. In essence, the timer and decade counter sequentially pulse current, 'activating' the transistors one at a time. The keypad is a simple matrix keypad. What I'm wondering if I can do is to put a GPIO pin on the line between the keypad and ground. The intended effect is that, when a button on the keypad is pressed, 2 pins will change state - this signifies the row and column.  Note that some of the resistance and capacitance values are notional at the moment. PostgreSQL check bloating of a table Proof of Frullani's theorem Sum of reciprocals of numbers with certain terms omitted I know that the harmonic series $1 + \frac12 + \frac13 + \frac14 + \cdots$ diverges. I also know that the sum of the inverse of prime numbers $\frac12 + \frac13 + \frac15 + \frac17 + \frac1{11} + \cdots$ diverges too, even if really slowly since it's $O(\log \log n)$.  But I think I read that if we consider the numbers whose decimal representation does not have a certain digit (say, 7) and sum the inverse of these numbers, the sum is finite (usually between 19 and 20, it depends from the missing digit). Does anybody know the result, and some way to prove that the sum is finite? Which topics are essential for QGIS beginners? What topics do you think are essential in an introduction for QGIS?  The target audience is those with zero or rudimentary knowledge in mapping and geospatial software. Apparently I inadvertently irked a moderator by creating a tag.  The moderator told me that my tag was "meta" and therefore not appropriate.  Having been a SO user for a long time (and a lurker on MetaSO), it was not clear to me what makes my tag "meta" and why meta tags would be inappropriate.  Many of the questions I see on SO aren't really about the topics in the title or the existing tag list.  For example, , isn't really about C++ or SetWindowText (or the Windows API as tagged).  It's simply somebody who had a bug, couldn't find it, and tried to outsource the debugging.  This seems to be a common category of question on SO.  So I started tagged questions like this with the label "findmybug".  Lots of frequent SO contributors regularly answer questions in this category rather than voting to close them as "Too Localized".  I took that as a cue that I should also try to answer rather than voting to close.  But leaving these questions open and tagged with "c++" and "winapi" even though the question isn't really about C++ or the Windows API seemed misleading.  Someone searching for answers on using SetWindowText from C++ probably isn't making exactly the same mistake and won't find that entry useful.  (In the end, the sample question was closed as "Too Localized", but this doesn't seem common for these types of questions.)  The Tags page says:     A tag is a keyword or label that categorizes your question with other, similar questions. Using the right tags makes it easier for others to find and answer your question.   It seems to me that the "findmybug" tag does group these similar questions together.  So from that perspective, it seems to fit.  Lots of users seem to enjoy answering these types of questions, so it makes sense they'd want a way to find them.  If you want to suggest that all the questions I would tag as "findmybug" should be closed as "Too Localized", that's fine.  But I'm trying to ask the more general question:  What makes a tag meta, and are meta tags inappropriate? How should I type author names in a bib file? Can someone please explain in a clear and concise way how am I supposed to enter the names of authors in a BibTeX file? I have entries with something like   @article{someid,    author = {Juan A. Navarro P\'erez, Ra\'ul de la Garza and Andr\'es Espinoza},    ...   but somehow the output seems kind of wrong! Schengen area 90 days limit: Can I leave on the 91st day? Why does turning Caps Lock off take such a long time to work? This is my biggest issue with Linux and the main reason I don't use it as my main working OS.  Whenever I use caps lock to write something in upper case and disable it in order to keep writing the next letter AFTER I've disabled it is written in upper case.  So, my text comes out weird, as SOMETHING *L*ike this  I've tried Linux Mint, Fedora ... and the issue keeps happening.  Searching Google I've found some very rare persons have the same issue, but I was unable to find any solution.  Is there any way to solve this or am I DOOMED *F*or life?  BTW, whenever I ask this question someone suggest I should learn to use shift, instead of caps lock. I know, that's the right way, but I'm used to use caps lock and, well, it should work. My friend had a  on the board with 10 counters on it.  If I destroy it and he sacs it in response to gain the life, is there anything that can be done about that?  Like, can I put another destroy artifact on the stack to resolve before his sac resolves? Assign default keyboard language per-application Is it possible to assign default keyboard language for specific applications? I know that there is an option to always start an application with a default keyboard language but this is not what I want.  I'm looking for something similar to "fixed workspaces" which you can set using CompizConfig (You set Chrome to always open at X1Y1, terminal at X2Y1 etc). Something where I would set Chrome: Czech, terminal: English, Spotify: English, ... How to convert mediawiki syntax to latex?