What happens when an electric dipole is kept in a nonuniform electric field?
When electric dipole placed in non uniform electric field, what is the approach to calculate torque acting on it? Can it be zero?
Suppose a book consists of three sections:     The book is/was divided into three sections.   I am thinking the past tense option "was" should be used, because the act of dividing the book into three sections happened at the time of writing. Is my analysis good? Show that $R \cap R^{−1}$ is an equivalence relation on $X$? Let $R$ be a reflexive and transitive relation on $X$. Show that $R \cap R^{−1}$ is an equivalence relation on $X$.   I am stuck and feel like I am doing something wrong, any help would be much appreciated!  Here is what I have so far:  $R = \{1,2,3\}$  $X = \{2,3,4,5,6\}$  $R$ on $X = \{(1,2), (1,3),(1,4),(1,5),(1,6),(2,4),(2,6),(3,6)\}$  $R^{-1} = \{1,1/2,1/3\}$  $R \cap R^{-1} = \{1\}$  $R^{-1}$ on $X = \{(1,2),(1,3),(1,4),(1,5)(1,6)\}$  TRUE  Am I completely off-base or am I close?  Thanks! How to access Winter 13's Push Major functionality We are ISV Partners and all of our packaging orgs have been upgraded to Winter 13. One of the features of Winter 13 was supposed to allow us to push major release versions to subscriber orgs. I would have expected it to be in the previously existing "Push Upgrade" section of our packaging orgs, but that still only allows pushing patch versions.  If it didn't make the final Winter 13 release, I would have expected Salesforce to take it off the release page. Is this something we have to ask to be enabled? For example:  me$ FOO="BAR * BAR" me$ echo $FOO BAR file1 file2 file3 file4 BAR   and using the \ escape character:  me$ FOO="BAR \* BAR" me$ echo $FOO BAR \* BAR   I'm obviously doing something stupid.  How do I get the output BAR * BAR? How To Store Files In An EXE Alright, so I'm working on programming my own installer in C#, and what I'd like to do is something along the lines of put the files in the .exe, so I can do  File.Copy(file, filedir);  Or, if this isn't possible, is there another way of doing what I am attempting to do? Run bash script at login stored in the home folder? When I try to load a LaunchAgent plist from launchctl I can't find out how to run a script in the home directory.  My code is:  &lt;?xml version="1.0" encoding="UTF-8"?&gt; &lt;!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd"&gt; &lt;plist version="1.0"&gt; &lt;dict&gt;     &lt;key&gt;ProgramArguments&lt;/key&gt;     &lt;array&gt;         &lt;string&gt;bash&lt;/string&gt;         &lt;string&gt;~/script.sh&lt;/string&gt;     &lt;/array&gt;     &lt;key&gt;RunAtLoad&lt;/key&gt;     &lt;true/&gt;     &lt;key&gt;Label&lt;/key&gt;     &lt;string&gt;com.tyilo.test&lt;/string&gt; &lt;/dict&gt; &lt;/plist&gt;   I have tried both with and without bash and also replacing ~ with $HOME. I have also tried using bash -c without it working.  The error code is:   `com.tyilo.test: bash: ~/script.sh: No such file or directory` What is the name of a squircle with three, five, six or more corners? I know that the second shape is a squircle, but what are the other shapes called? Is there an actual name for them?    The shapes do not simply have rounded corners, but the sides have a "circularity". Here is a triangle with rounded corners next to the shape that I do not know the name of:    "Trircle", "Triarcle", and "Pentircle" do not seem to be used for them, at least Google's image search does not provide any results. How to test if a player is near coordinates in 1.13? From axiom of regularity, how can I prove $x \notin y \lor y \notin x$ Health effect of electromagnetic and acoustic waves on brain function I realize this is a long shot, but my phone was lost or stolen a few hours ago.  At the time it was stolen, I didn't have any specific applications installed to track it or wipe the data. So... my bad. I'm hoping the fact that I have a pattern lock will at least prevent anyone from accessing my data.  My question is, do I have any options for tracking or data wipe after the fact? (I'm more interested in tracking.)  Note: I have read similar questions, but unless I'm mistaken, they all address the question in terms of preparation before losing the phone. I'm asking about fallback options after losing the phone. Scenario (Ubuntu 16.04):  I compile and run a C program (with -g, I get the traditional Segmentation Fault (core dumped), and then (of course) there is no mythical "core" file to be found. Some digging says to modify /proc/sys/kernel/core_pattern with a command to the effect of: echo '|tee /home/me/my_core_folder/my_core_file' | sudo tee /proc/sys/kernel/core_pattern, and after doing this, I stop getting (core dumped) and start only getting the plain Segmentation Fault. I try things like gdb ./program_object_file.out core.pid which obviously doesn't exist (I was getting desperate), and of course try the plain gdb ./a.out followed by (gdb) core core.pid and variants of the commands where I spam the tab key desperately trying to get auto-completion to get me to where I need to be.  Question:  Is there a generalized way I can get to core dumps? I recognize that every machine that I touch seems to have a Michael Bay's Transformers-esque ability to reconfigure hardware and software such that no device I own can be expected to work normally out-of-the-box. Is there a simple algorithm/recipe I can follow to locate core dumps on my own machine as well as on other peoples' machines? I always find myself tutoring friends on stuff like this after no small amount of  work to get things working for myself and it would be nice to be able to run a command or something to get core files dumped to the directory which the executable was run from... is there any way to do this that should work on most (I would settle for "some") Linux/Unix machines? Run as a different user on a shortcut How do I run as a different user on a shortcut in Windows 7?   On Windows XP, I had the ability to mark a shortcut as being run by a different user, so that every time I ran it it would prompt me for a username/password. This let me have two shortcuts for things like , one for my normal account and one for my domain administrator account which has access to production servers.  I can get to the 'Run as different user' option with Shift + right-click, but I can't see an option anywhere that would let me mark the shortcut as doing this every time. The three lengths \textwidth, \linewidth and \hsize seem to all hold the width of the current line. At least I never saw some real difference between \textwidth and \linewidth in my code. Both seem to be identical even when changed, e.g. by a minipage environment.  Could someone give me an elaborate explanation of the differences between these lengths? I like to understand them in detail. I know that the first two are from LaTeX and the latter one from plainTeX.  There is also \columnwidth which seems to be identical to \linewidth or \textwidth in one-column mode, right? Except when the line is reduced by a minipage or quote etc. environment. My phone was stolen last night. I made sure it was in Lost Mode in iCloud and it was immediately in Offline status when I open iCloud. I am positive the thief switched it off. Now I am 100% certain the Find my iPhone option was turned on on my iPhone, but will the "Lost Mode" be of any help if it was not turned on on the iPhone? Would it be showing "Offline" if I did not turn on the option? Prove that the product of two continuous functions is continuous I was wondering how to make a clickable terminal shortcut for my desktop using the command easytether connect.  I don't want to have to open/close the terminal every time I wish to connect to the Internet through my phone.  I've tried updating my gnome-panel but I can only make a new directory on my desktop. Valid characters in a Java class name How to resolve "iTunes could not back up the iPhone because the backup was corrupt"? When I try to sync my iPhone with my computer, I get the following message:       iTunes could not back up the iPhone "iPhone Name"   because the backup was corrupt or not compatible   with the iPhone.      Delete the backup for this iPhone, then try again.   Yet, here is no option to delete the backup. Where are backups stored / how can I delete the backup?  This is iTunes version 10.5.3 running under  Mac OS X 10.6.8. Does deleting iCloud photos affect them on devices?