Find the relationship between the sides of a triangle and the diameter of the circumscribed circle.   I tried to solve this question. But, I didn't get any solution
Given the length ot the sides $a , b$ and $c$  of $ \triangle ABC$.  What is the length of the radius of the circumcribed circle?  After some formula substitution I came to the monster formula:  $$ \frac {a b c}{\sqrt{2a^2b^2+2a^2c^2+2b^2c^2-a^4-b^4-c^4}} $$  Can this formula be simplified?
Is there an comparison of the various mapping libraries for Android? I am currently looking at the various libraries that I can use to show a map in my custom Android App. I have found several like Mapsforge, OSMDroid, ArcGIS runtime for Android, Google Maps for Android and so on. I'm sure that I am missing a few.   Is there a comparison chart somewhere about the differences in functionalities and pros and cons of each one?   If there isn't one, we could make this question community wiki, to serve alongside  &amp; . When should I vote to delete a question? I've recently reached enough reputation on one of the sites to be able to cast delete votes. I am not sure when a question is supposed to be deleted as opposed to just remain closed.   What criteria should I use when deciding whether or not to cast my delete vote? Bachelor thesis or Bachelor's thesis Positive euphemism for "harped on" How can I replace harped on with a more positive expression?  The production manager harped on the new quality assurance regulations for nearly an hour. What is the pressure at the center of the Earth? (Or a neutron star) The  has microgravity and is thought to be solid and almost 6000 degrees hot. What is the pressure like there? The confusing thing, for the common man I suppose, is that there's no gravity there, but lots of matter around it which does gravitate towards the center. How does that add up? Is the center just a gas cloud or is it highly compressed?  And I could add the aside question about what it is like in the microgravity center of a  or a black hole, but I don't expect anyone to know about that. I'm curious why PCBs have one square pad in row for 0.1" headers. What is purpose of putting one square pad? What it indicates? Can you push more amps through square pad than round? E.g.: If your Gmail ID is abc.xyz@gmail.com, it considers this the same as abcxyz@gmail.com.  Why is this so? How do I uninstall Ubuntu Wubi? How to do selective-color in Photoshop? How to make the single color in a photography to be color and other parts changed to B&amp;W?.  Don't know exactly the name of the effect, to be more clear in the following photo I want the green part to be green and other parts( leg and sandal) in B&amp;W..    How to achieve that effect in Photoshop? Points disappear when zooming past certain scale in ArcMap? My points are disappearing when I zoom in past 300,000 in ArcMap.  I tried to repair geometry, but it doesn't fix anything?    I also checked the scale extents and those are turned off.  I can export the points to a new shapefile/feature class, but I'd like to not have to do that.    I'm using 10.1 on Windows 7 x64. Cylindrical vs azimuthal symmetry Bash: command not found Change cursor color after log out on ubuntu 18.04.2 LTS I've set my cursor color on gnome-tweaks to be DMZ-Black, which works fine when I log in and lock the computer. But, after I log out, the cursor color changes to white.  Is there a way to change the color of the cursor after log out?  My gnome-tweaks setting: Is there any way to find out if a file is a directory?  I have the file name in a variable. In Perl I can do this:  if(-d $var) { print "it's a directory\n" } I'm working on moving my current server setup to newer hardware, and migrating from ubuntu karmic koala to lucid lynx. Currently i'm using gw6c (compiled from the gogo6 website, as opposed to the version from the repositories) to get ipv6 access for my systems. On the karmic koala system, i used simple init.d script to get the ipv6 client started   #! /bin/sh /usr/local/gw6c/bin/gw6c -f /usr/local/gw6c/bin/gw6c.conf   I figured since this runs at any runlevel, it should translate to  respawn console none  start on startup  stop on shutdown  script exec /usr/local/gw6c/bin/gw6c -f /usr/local/gw6c/bin/gw6c.conf emit free6_ipv6_started end script   this works fine started from initctrl, but it apparently fails to start when it boots. - its status being stop/waiting. It works fine (and respawns) when started otherwise.Any ideas on where i'm going wrong, and what would be the appropriate 'start on' arguement?  EDIT: the exact error is 'init: gw6c main process (xxx) ended with status 8' followed by the process respawning , with xxx being a PID i suspect. I'm also half suspecting this is cause gw6c starts before networking does, and i need my eth0 up before gw6c is Is it ever a good idea to close credit cards? I have a bunch of credit cards with no balance, while others have fairly high balances. I'd like to close the 0 balance cards, but I know that will reduce my overall balance and hurt my credit rating, since my ratios of used to unused credit will rise.  Is it ever a good idea to close credit cards? Someone gave me a bunch of envelopes of pizza crust yeast, "specially formulated for pizza crust". The packets also say that no rise time or proofing is needed, and that it's "NOT recommended for bread baking." The ingredients are yeast, enzymes, sorbitan monostearate, l-cysteine, and ascorbic acid. It does provide a recipe for pizza crust, with just mixing and a bit of kneading.   What has actually been done to this yeast to make it work like this? (What are those enzymes?) And is there any way I can use it for other things, or is it really only good for things like pizza crust? Inherited values between polygons in QGIS In this project, I have three polygons, see the image below  'Polygons_From', includes input attributes, i.g. &quot;Value_1&quot;, &quot;Value_2&quot;, &quot;Value_3&quot;, and $area for each quadrate (on the image there are two types of them). 'Polygons_To' polygons for which new values &quot;Value_1_new&quot;, &quot;Value_2_new&quot;, &quot;Value_3_new&quot; need to be defined 'Border' defines an area where the calculation should be done.   My task is to transfer values from 'Polygons_From' into 'Polygons_To' based on a certain aspect/ratio. Of course, I can simply achieve it with the 'Union' function as was suggested in . It uses $area-factor, but perhaps there are better approaches that will lead me to a much more efficient output? So, I am asking for a recommendation regarding the technique/workflow that can be applied in QGIS 2.18. Shall I consider only $area or there are some other criteria? Moreover, I looking forward to finding some papers that may improve my general understanding of the methodology.  References: Leave bash script running on remote terminal while not logged in? I have a bash script that takes several hours to run.  While it's running, I would like to do other things, which may involve logging out or disconnecting from the internet (my script runs network tests on various computers).  I understand that there is a command that would allow me to run my tests from a remote terminal and logout of the terminal while it runs.  Does anyone know what this command is? Show a matrix in detail Below it is a very useful command to create a matrix. But it has a short point to me since it shows Parentheses not Square brackets. My question it how should I change this to show square brackets? I appreciate your answer. Thank you so much.  \[ K =   \underbracket{\begin{pmatrix}    K_1 &amp; 0      &amp; 0    \\    0   &amp; \ddots &amp;    0   \\    0   &amp; 0      &amp; K_n    \\    \end{pmatrix}}_{d\times M} \]