Given: $$f(x)=\frac{x^2-4}{x-2}$$  First thoughts would be than $x\ne 2$   But since $f(x)$ can be simplified to: $$f(x)=x+2$$  It now seems than $x$ can be a solution to $f(x)$.  If I graph this function I get the line $f(x)=x+2$, but it that with the point $(2,4)$ not included?  My book gives an answer where $x\ne 2$
I'm trying to graph the function $y = \frac{x^2-4}{x-2}$.  I factored the numerator into $(x+2)(x-2)$, and then canceled the common factor (x-2), leaving the function as $y = x + 2$.    Is it acceptable to graph the original function as $y = x + 2$, a straight line with domain and range all real numbers?  Or do you have to restrict the domain as in the original function?  Thanks, Sean
Sharing Test code in Maven How can you depend on test code from another module in Maven?    Example, I have 2 modules:   Base Main   I would like a test case in Main to extend a base test class in Base.  Is this possible?  Update: Found an , which involves creating a test jar. wrappers and JavaScript pop-up? Use Case:  What i want is a list of records, and allow this user to choose 2 of those records, then click a button to go to a new VF page, if the user selects more than 2, i want him to get a notification of some kind saying you need to select 2 records, I do not want the page refeshed though.  Strategy:  I'm creating a wrapper class for the records like this:  and i have that part going by creating a custonm controller... I need the notification part working.   Problem:  I don't know how to call methods from the customController in javascript Also, i do not want to refresh the entire page. I just want them to go back to where they were. I was thinking a pop-up notification but I'm flexible.. BibTeX handling of the Dutch "van" name prefix with natbib I want to produce the following with LaTeX/BibTeX:  In the running text:     ... we refer the reader to the work of Van Noort (2010).   In the bibliography:     Thomas van Noort. An important paper. 2010.   I have tried many tricks, but I don't seem to able to fulfill all the requirements:   "Thomas van Noort" has to appear sorted in the bibliography by the name "Noort". In the running text, the "Van" needs to have an uppercase 'V' In the bibliography, the "van" needs to have a lowercase 'v' I am using hyperref, and I want the whole "Van Noort (2010)" text to link to the reference.   Using plain \citet will generate:     ... we refer the reader to the work of van Noort (2010).   Note the lowercase 'v'; this is not acceptable, as per standard treatment of Dutch names. Setting the BibTeX name to Van Noort, Thomas makes the running text citation look ok, but then in the bibliography I get     Thomas Van Noort. An important paper. 2010.   Note the uppercase 'V'; this is also not acceptable, as it should only be uppercase if it is not preceded by the first name.  (1) is easy: I set the BibTeX author field to {\noopsort{Noort}}{van Noort}, Thomas. (2) and (3) I can fake by saying something like we refer the reader to the work of Van Noort \citeyear{...}, but this is not nice, and does not fulfill (4).  Anyone has any suggestions? I was under the impression that LaTeX and BibTeX were designed with these kind of things in mind, so maybe I'm missing something... See these sentences:     See there, it seems that someone is inside the house. OVER   See there, it seems that someone is in the house.   Another example:     The doctors found two bullets in his body. OVER   The doctors found two bullets inside his body.   Certainly, both are interchangeable, aren't they? But in the bullet's example, the second one looks natural. I'm not sure why. Is it something that bullets were first out and then they went inside? But if that's the case, someone is in the house is also okay. That person too was out first! Where can I find a list of computers guaranteed to work with Ubuntu? Before I buy my next laptop, I'd like to make sure that it will work perfectly with Ubuntu. Is there a list of completely supported computers anywhere? I have this code:  DECLARE @MyTable AS TABLE (    [Month] INT,    Salary INT );  INSERT INTO @MyTable VALUES (1,2000), (1,3100);  SELECT [Month], Salary FROM @MyTable;   Output:    I want to concat the Salary (grouping by month) so that it will be NVARCHAR like this: '2000,3100'  How would I do this efficiently? Is reusing old code for a new assignment considered self plagiarism? How to protect yourself if you consider it to be, and a group partner does not? List manipulation: position & max value combination The number of 5-digit numbers such that their sum of digits is even is? I tried this problem by counting the number of 5-digit numbers and then dividing it by 2 just like we do for three digits. Please help. Thank you. About 0.999... = 1 I've just happened to read this  on MO (that of course has been closed) and some of the answers to a similar  on MSE.   I know almost nothing of nonstandard analysis and was asking myself if something like the sentence « $1- 0.999 \dots$ is a nonzero positive infinitesimal» could be easily expressed and proved in nonstandard analysis.  First of all, what is 0.999... ? If we take the usual definition as a series or as a limit of a sequence of rationals, then it will still be a real number and equal to $1$ (I guess by "transfer principle", but please correct me if I'm wrong).  Instead, let's define  $$0.9_N:=\sum_{i=1}^N 9\cdot 10^{-i} $$  where $N\in{}^*\mathbb{N}\setminus\mathbb{N}$ is an infinite nonstandard natural number. This $0.9_N$ is a legitimate element of ${}^*\mathbb{R}$, expressed as $0.$ followed by an infinite number of "$9$" digits.  What can be said about $\epsilon_N:=1-0.9_N$ ? Is there an elementary proof that $\epsilon_N$ is a positive infinitesimal of ${}^*\mathbb{R}$ ? (by "elementary" I mean just order and field axioms and the intuitive facts about infinitesimals, like that for $x$ infinite $1/x$ is infinitesimal etc.; no nonprincipal ultrafilters &amp; C). I have an Ubuntu 14.04 server that has no external monitor connected.  I use NoMachine to remote control the machine.  When I do so, the Unity/Gnome interface doesn't see any monitors connected, so I can only use 800x600 when connecting with NoMachine.  If I plug in a monitor, I can set the resolution to whatever size the NoMachine window is on the remote computer.  Is there a way to create a "fake" monitor device on Ubuntu so I can set a desktop resolution in Unity/Gnome? I need to clip a vector layer to the extent of a raster. It has to be very precise that's why I would not want to draw a polygon myself (and clip the two polygons). There seem to be some ways to clip a raster to a polygon but I have difficulties to find a solution to clip a polygon to a raster. I already tried to create a polygon out of my raster several times in ArcGIS and R, so I could clip the result. But every time it crashes because the raster is to big. There must be a simple way to solve this, and somehow I can just not see it at the moment.  How can I do this using GDAL? I just installed a fresh install of 32-bit 12.04 LTS Pangolin today. When I tried to install a few applications, it was really slow. But when I download a .deb or .tar.gz file from on my web browser, it is a lot faster.  Computer specs:  HP Pavilion Slimline s7700n PC  [Memory]         873.7 MiB  [Processor]      AMD Athlon(tm) 64 X2 Dual Core Provessor 3800+ x 2  [Graphics]       GeForce 6105 LE/integrated/SSE2/3DNOW!  [Disk Size] 638.5 GB  I normally get 200-400 kbps.  This is the comparison. E: Could not get lock /var/lib/dpkg/lock-frontend - open (11: Resource temporarily unavailable) I'm trying to run this command in the terminal:  sudo apt install software-properties-common   This is the error message I get:  E: Could not get lock /var/lib/dpkg/lock-frontend - open (11: Resource temporarily unavailable)   E: Unable to acquire the dpkg frontend lock (/var/lib/dpkg/lock-frontend),     is another process using it? Make Excel open some hyperlinks with non-default browser A bunch of our network/server/storage hardware uses web interfaces for their administrative portals. I'm currently using an Excel 2010 worksheet to keep track of each device. I have one column set aside to list the URL for each web interface. This makes it easy to simply click the URL to open each administrative portal.  My default browser is Firefox. However, some of the administrative portals don't play well with Firefox and require the use of IE. Until now, when I want to open a hyperlink in IE, I have to manually open IE, copy the URL from the Excel worksheet, and paste it into the IE address bar (otherwise it will open in Firefox if I simply click it). It's just an annoying extra couple of steps.  So without changing Firefox as my default browser, is there a simple way in Excel 2010 to tell it which hyperlinks to open in IE when they are clicked? I want to choose specifically which links open in which browser  (For reference I'm using Windows 7 Enterprise 64-bit) Looking for a trilogy published around the early 80s.  Insect-like aliens are invading earth.  Humans' brains are placed in robotic bodies.  The protagonist is a child in one of these bodies.  He has to learn how to control the robot &amp; conserve his battery power.  Once train, he can fight back against the aliens using heat-guns + physical attacks.    The aliens are landing/spawning on sites all over the globe.  Part of the plot is discovering a method to disrupt their staging points.  It was probably young-adult oriented.  If anyone remembers this, thank you. Why is "No new release found" when upgrading from a LTS to the next? I'm following the , but on launching the upgrade tool I get this response:  Checking for a new ubuntu release No new release found   Am I doing something wrong? Is there a workaround? Transferring a Windows 8 license and proper un- and reinstallation Long story short  I have two computers: a laptop and a desktop computer. Both have Windows 7 on them.  I buy the Windows 8 Pro upgrade. To see if it screws up anything, I install it on my laptop as a guinea pig. I intend to use Windows 8 for my main computer, my desktop, but I want to test it on the laptop, so I know I don’t risk losing access to my desktop and the data on it. I never use my laptop, and only used it, because it already has a Windows 7 installation on it.  The problem  At some point, I must have entered the license key on my laptop, because when I go to the activation screen on my desktop, I get this:    Uh-oh. I can’t use the key on my desktop. Now how the hell do I transfer the key from my laptop to my desktop computer?  Answers and suggestions so far  Let’s just say that I tried everything possible to get some answers on this matter. The best response I got from Microsoft is this:     To install Windows 8 on your desktop, do the following:         Uninstall Windows 8 on your laptop   Afterwards, install Windows 8 on your desktop   If it won’t activate, call product activation at (...)      I am not a fan of that last point. The error message does allude to such a solution, however:     If you’ve reinstalled Windows or made changes to your hardware recently, you may be able to use your current key.   The question  My main question is this: has anyone been in a similar situation, and if so, what did you do to resolve this?  Failing that, what is the proper way to   uninstall the Windows 8 installation on my laptop, and reinstall the Windows 8 installation on my desktop?   Ad 1  I have already tried using the “reset” feature on my laptop, but that only resulted in a new Windows 8 installation that was already activated. But which is the right way to uninstall the installation in a way that allows me to use the license key on the desktop computer?  Ad 2  Which is the proper way to reinstall the Windows 8 installation on my desktop computer? Why do I even have to reinstall it in the first place?  I won’t get around to do this, until my USB key with 3.0 support arrives in the mail, but it is going to be a while, until I find a assuaging response to the best way to go about this anyway. Testing random variate generation algorithms Which methods are used for testing random variate generation algorithms? I want to prove that if we have a commutative integral domain $D$ with field of fractions $F\neq D$ then $F$ is not finitely generated as a $D$-module. (In this question it may be the case that $1\not\in D$.)    My original plan was to localize at a maximal ideal and then use Nakayama's lemma but as we don't have a $1$ our localization may not be local (in fact we need not have maximal ideals).  So I'm a bit lost as to where to go?  Thanks for any help.