Detect collision point
Finding the contact point with SAT
how to copy or backup files ignoring dot files Are partially charged wands generally purchasable? Expected time to roll all 1 through 6 on a die What is the average number of times it would it take to roll a fair 6-sided die and get all numbers on the die?  The order in which the numbers appear does not matter.  I had this questions explained to me by a professor (not math professor), but it was not clear in the explanation.  We were given the answer $(1-(\frac56)^n)^6 = .5$ or $n = 12.152$  Can someone please explain this to me, possibly with a link to a general topic? How to find web hosting that meets my requirements? I posted this at  and got redirected here. This does indeed look like a better place to ask.  I would like to decorate my headlines (section, subsection, etc.) by adding a background color. I would like this box filled with a single solid color to span across the entire typearea.  This picture is a screenshot of an OpenOffice document where the headline has the formating, layout and color I want.    Requirements on a solution   The resulting style is supposed to be used by others, meaning an equivalent latex output to the picture above shall be created by this code:  Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text   \subsubsection{This is a headline}  Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text Some Text  If the section is supposed to be unnumbered one should be using \subsubsection*. LaTeX still needs to be in charge of the whitespace between paragraphs and the blue box.   What I have tried so far  As far as I can google the headline together with the section numbering are a simple paragraph. Latex adds some skips before and after and squeezes in a few commands that modify the font(s).  My ideas revolve around locking this paragraph in a \colorbox. The colorbox macro works like this: \colorbox{color}{the content around which to draw a box filled with the specified color}. My problem is I can't get a grasp on this paragraph.  The easy 80%  My work is based on koma-script and by redefining \othersectionlevelsformat and \(sub)*section. I can draw two boxes, one surrounding the section numbering and another surrounding the section title. However this has 3 open issues:   the upper edges of the boxes are unaligned and the box with the title is slightly larger than the line with the numbering The box around the title does not strech to the right end of the typearea the box around the numbering doesn't grow if the title spans multiple lines (no surprise here)   The hard 20%  I tried to make latex put the section numbering into a \savebox I could access later and put as part of the title. That would eliminate the need for two boxes and solve all three of my problems at once, but that doesn't work. I only get to modify the title before the actual numbering is done. So while I can put the numbering into a savebox, I can't do anything with it until it's too late.  I tried putting the \section ... statement into a colorbox, but it doesn't like that and the document fails to compile with ! LaTeX Error: Something's wrong--perhaps a missing \item. The same holds for saveboxes. I guess colorbox uses those.  I tried putting the \section ... statement in a minipage and put a box around that. This has two issues. 1st: latex doesn't put any empty space above a section. 2nd: not only the section numbering and title have the background but also the empty space between section title and first paragraph.  So how can one hack latex to do a section title formating as shown in the screenshot above? What does "yield break;" do in C#? I have seen this syntax in MSDN: , but I don't know what it does.  Does anyone know? As you are all most likely aware already all domain registrars ask for your personal information.   Such personal information includes:   Forename and surname Address information Email address Telephone number   Personal information via WHOIS  Depending on the domain type such as  or  this information may become immediately available after the registration of the domain via a simple whois. If you do not want that (and in most cases you certainly don't) they offer a service where you can remove this information from the whois service but of course hiding your personal information adds yearly costs to the domain  purchase.  What happens if I use fake details when registering a domain? How to prove the function is a constant Let $f\in C[0,1]$ be such  that $\forall \phi\in C[0,1]$ with $\int_0^1\phi \, dx=0$,we have $\int_0^1f\phi \, dx=0$.  Then $f$ is constant.  May be someone can help me proof this problem. Thanks! Delete all data for a kind in Google App Engine I would like to wipe out all data for a specific kind in Google App Engine. What is the best way to do this? I wrote a delete script (hack), but since there is so much data is timeout's out after a few hundred records. I watched a video on youtube (I lost it) that shows rendering parts of the screen to combine them in a single image. I followed it to the point where I couldn't adjust the dimensions under the "set render border", but in the video he had dimensions and I have nothing.  I need it for 4K and 8K renders (without anti-aliasing), but my laptop can't handle it all at once and I don't have time for a 4 hour waiting so this feature will work perfectly.  I'm using version 2.76 so is it moved to another place or removed. Maybe a bug? trouble installing pygame on ubuntu 16.04 LTS I had a hard time installing pygame on my ubuntu 16.04 LTS. I use python 3. these are the steps I took to install pygame:  1.first I installed pip:  sudo python3 get-pip.py   this is the output of running pip --version:  pip 10.0.1 from /usr/local/lib/python3.5/dist-packages/pip (python 3.5)    I executed the following commands:   sudo apt-get install python3-dev mercurial  sudo apt-get install libsdl-image1.2-dev libsdl2-dev libsdl-ttf2.0-dev   then I executed the following command:   pip install --user hg+http://bitbucket.org/pygame/pygame  and this is the result in terminal:  Collecting hg+http://bitbucket.org/pygame/pygame   Cloning hg http://bitbucket.org/pygame/pygame to /tmp/pip-req-build-hxy86__i abort: error: Connection reset by peer Command "hg clone --noupdate -q http://bitbucket.org/pygame/pygame /tmp/pip-req-build-hxy86__i" failed with error code 255 in None   and it fails to install pygame. what should I do?? I have recently purchased a hybrid bike with suspension (not sure if that is relevant to this question). It came with two pieces of plastic. Any ideas what they may be for? When you first add a cylinder, you have the option to change the number of vertices, etc, but once you do anything else in blender, it seems you no longer can edit those parameters.   Is there a setting anywhere or an add-on that allows these parameters to be edited later on? If not, how easy would such an addon/feature be to create for anyone reading this? Did Michael Corleone ever get revenge against those who killed his wife? Did Michael Corleone ever get revenge against those who killed his wife?   I just watched the 3 Godfather movies again and I was not able to figure out who made the attempt on his life and in the process killing his wife with the car bomb Sicily in the first movie. I know it was one of his body guards that planted the bomb, but I could not get who was actually behind it. I am guessing it was probably the Barzini crime family for the killing of Virgil Sollozzo, but I am just making an assumption there and if in fact it was the Barzini crime family then obviously he did get his revenge. I was hoping someone could back this assumption up, or not.  So did Michael Corleone ever get revenge against those who killed his wife? Solve a congruence $1978^{20}\equiv x\pmod{125}$ Similar Matrices and Linear Transformations Finding what methods a Python object has Given a Python object of any kind, is there an easy way to get the list of all methods that this object has?  Or,  if this is not possible, is there at least an easy way to check if it has a particular method other than simply checking if an error occurs when the method is called? Mesh generation from PointCloud? The figure bleow is the pointcloud imported as .ply file into blender.   However, I would like to perform triangulation on it to produce the surface as seen in picture below(Accomplished using ballpivoting surface reconstruction and poisson disk sampling in MeshLab).   Is there a way to perform triangulation on belnder.  (PS: The purpose is to be able to select each faces/vertices individually to automate further.)  Edit: Question: Is it possible to select the vertex/faces programmatically post triangulation? if so, please explain how? Everybody who is using Lightroom probably has seen this. After importing RAW files, Lightroom shows a preview, but contrast and color of the preview change after a few short seconds to a slightly different view.  For some users the change is small, for others the change is huge. Colors are different (read: wrong), contrast is off.  Rumor says this is happening only (more?) for Nikon users.  What is Lightroom doing here?  I'd guess that for the first preview, LR is showing the JPG preview file, which is embedded in the RAW file. Then after a moment, LR renders the RAW file itself to show it's own interpretation.  But why is this interpretation so different from the embedded JPG? Could you help me finding some less colloquial equivalent to highlighted phrases of this speech Today I want to be able to give you some good tips on parallel parking. It's part of your road test. It's something you need to learn. For most new drivers it's real difficult, because they're not able to judge angles. And parallel parking is all about angles. I'll take you through a typical parking, I'll take you through how I teach it , and maybe that'll help you in passing your road test. The first thing you want to do is you want to pull over over and you want to stop alongside a parked car. Typically, an inspector will give you a command to pull over, stop next to the red or blue car. You're just going to pull over, put your blinker on to the right, and pull over even with that car.     taken from a series of videos teaching driving   Why did the man use  be able in his speech? What is the difference between be able and I would like to or I want ? I mean what the listener should make of  I want to be able to give you ...  . Why did not he say I want to give you... ?  When he says I'll take you through a typical parking , I get the meaning of take one through ,It means I am going to teach you , isn't it? But my real concern is what the second I'll take you through means, while saying I'll take you through how I teach it . Perhaps it doesn't mean I will teach you that how I teach it ! , does it? The man always says the first thing you want to do . Why does not he say the first thing you should do , the first thing you need to do ? What are the diffrences in meaning? Isn't it unnatural saying you want to do ? In the last sentence he says You're just going to pull over, is the use of going to just weakening would and will? I think here it means something else. I think it means you just want to or you just start