Proof of G being a cyclic group?
Finite group for which $|\{x:x^m=e\}|\leq m$ for all $m$ is cyclic.
Where is the operator panel in Blender 2.8? The tutorial I read is based on 2.79. So I'm not sure if it's still the same name in 2.8. But I can't find anything providing similar functionalities. Adding table of certain attributes to map layout? I am using ArcMap 10.2 and I'm looking for a way to add  a table containing certain fields from select elements from a featureclass to my map. Ive tried the add table option from the attribute table, but it doesn't quite give what I want (the table must be editable to look a certain way).   Are there any options out there for 10.2 like arcpy.mapping.tableview or will upgrading to 10.3 so I can get access to the "graphic table element" function be best? Do electrical devices "take what they need" One concept of electronics I have a hard time understanding is if things like motors, actuators, solenoids etc. use as much power as they need or what you give them.   If a motor needs 12 volts and 500ma and I supply it with 12 volts and 3000ma will it only consume 500ma? Also, if I supply it with 15volts and 500ma what will happen?   It seems logical that an LED and a DC motor are way different when it comes to requiring/using electric where as an led has to be completely regulated and (I assume) a DC motor doesn't.   Is my understanding wrong? Windows 7 booting fail with error code 0xc0000225 I have an HP laptop Pavilion DV4. Last night, I installed Ubuntu and there was an problem about partitioning the hard disk, and I think I deleted the Windows boot record.  I didn't burn a recovery disc but there is built-in recovery partition on the hard disk.  All I want to do is to perform a Factory Restore but I need recovery disc. I could burn that disc from the recovery partition using HP recovery manager, but can't burn now. I can't also boot HP recovery manager using F11 key, because it has the same boot error.  I want to boot Windows 7 and want to burn recovery disc. How can I boot into my old windows 7. If I can boot it, I can burn Recovery Disc and I will make Factory Restore if it's needed.  I didn't make any changes to windows 7 partition but I did a problem about Boot Record.  There is a system partition on hard disk with the size of about 200 MB.There is BOOT folder too.  Installation of Ubuntu also failed, so I'm booting from Live Ubuntu USB. What counts as a 'large' raid 5 array? In several different contexts we invoke the  to justify whatever statistical method we want to adopt (e.g., approximate the binomial distribution by a normal distribution). I understand the technical details as to why the theorem is true but it just now occurred to me that I do not really understand the intuition behind the central limit theorem.  So, what is the intuition behind the central limit theorem?   Layman explanations would be ideal. If some technical detail is needed please assume that I understand the concepts of a pdf, cdf, random variable etc but have no knowledge of convergence concepts, characteristic functions or anything to do with measure theory. Mock a service while running a BrowserTest? I am trying to test the output of a controller that returns some information in a given page. This controller has a custom http client injected into it.  I want to create a BrowserTest that can navigate to a fake node, and then test for certain text or values. I also want to change the mock to return different values, so I can further test the output to account for those cases.  I tried:      $client = $this-&gt;getMockBuilder('\Drupal\mymodule\Client\AuthorizeClient')       -&gt;disableOriginalConstructor()       -&gt;getMock();     $client-&gt;expects($this-&gt;any())       -&gt;method('request')       -&gt;with('w12345', FALSE)       -&gt;willReturn([]);      $this-&gt;container-&gt;set('mymodule.auth_client', $client);   But I get errors in the test that refer to the original class, and not the one I am trying to replace. I looked around in the core but wasn't really able to find what I was looking for. Does it make sense to do this? Is there a way to do a Kernel test to test responses from the route in question? How do I install Guest Additions in a VirtualBox VM? I've recently installed Ubuntu on Oracle's Virtualbox.  Now I want to install the guest additions.  I started up my Ubuntu guest OS, clicked "Devices" and chose "Install Guest Additions". Nothing happened, and I don't see the CD icon on my desktop.  How can I make this work? Is there any SCP program available for Ubuntu that does not require SFTP on a remote host? I need a program that can manage files on a remote device running Linux using SCP. The remote device runs OpenWrt. On Windows there is a perfect one WinSCP. it is weird that there is no native program that can be used. The program should be able to:  list files copy and move files to/from the device and within the device. delete files on the device view and edit files change file permissions  I have found only one alternative, except using CLI and installing WinSCP with wine. It is Midnight Commander with fish. It works really poor. The problems are:  It mixes up ~ on a remote device and on the computer. It can't edit files. I can open and edit, but they are saved to a wrong place.  There is a lot of other annoying problems that makes it almost unusable. I gave up using mc and now I am using pure shell on the remote device. Please do not tell me that Nautilus, etc support these features. They don't!!! Linux native file managers require SFTP that is not available on the remote device. Maybe it is possible to get nautilus use SCP, but I did not find a way of doing it without changing sources. THIS IS NOT A DUPLICATE !!! I have a specific requirement that is not covered in the duplicate question. If it is not possible on Ubuntu, then this could be an answer. I no longer need an answer to a question; what should I do to the question? Types in MySQL: BigInt(20) vs Int(20) How to hide password input from terminal in ruby script What was Mr. Anderson (Neo) selling on discs to Choi? Local hyperlinks broken after PDF processing with Ghostscript I usually compress my tex PDFs with ghostscript:  pdflatex -shell-escape file.tex  gs -sDEVICE=pdfwrite        \    -dCompatibilityLevel=1.4   \    -dPDFSETTINGS=/prepress      \    -dNOPAUSE -dQUIET -dBATCH      \    -sOutputFile=file_compressed.pdf \     file.pdf   Normally that works well, but if I have relative links to local files, the links don't work afterwards.  Minimal example:  \documentclass{beamer} \usepackage{hyperref}  \begin{document}     \begin{frame}         \href{run:./audio.mp3}{test}     \end{frame} \end{document}   The link works in file.pdf but not in file_compressed.pdf. Is there any pdflatex or ghostscript setting that retains the link in the compressed version?  I use Acrobate Reader 10.1.14 for viewing, Ghostscript 9.10 and pdfTeX 3.14159265-2.6-1.40.15 (TeX Live 2014) on OS X 10.9.5.    Update: The breakage of hyperlinks had nothing to do with compressing the PDFs. The breakage happened for all re-processing of PDFs containing hyperlinks in its input PDF. Prove that every idempotent element is not nilpotent element. Let $R$ be a ring. Prove that every idempotent element is not nilpotent element.  I've got a problem with proving this question. I was be grateful, if somebody would be help me. How do I convert html page to SharePoint 2013 master page? There is functionality provided in SP2013 for converting html page to SharePoint master page. I have tried this functionality but each time it convert nothing. Is there any specific method that I need to follow? Or is there any specif layouts of html page need to be converted into SP 2013 master page? Application always show in the third position in Ubuntu 16.04 After I update my ubutu to 16.04, I got a problem with Unity launcher. Whenever I open an application which is not listed in launcher, it will take the third position instead of last position. Has anyone the same problem? How can I get exactly 5 logarithmic divisions of an interval? Which command should I use for textual subscripts in math mode? Textual subscripts like in W_{total} should be typeset in an upright text font (so that code isn't good practice), as has been  in   . Now there are several ways to achieve this, and I'm somewhat confused which I should use:   W_{\rm total} is nice and short, and appears to work in all circumstances, but I expect LaTeX people will frown upon it :-) Is there any good reason against this? W_{\mathrm{total}} &ndash; is this the LaTeX equivalent of the \rm approach? W_{\textnormal{total}}  as total is text and not math&nbsp;... In , Ulrike Fischer suggests a more complicated approach. Even W_{\operatorname{total}} appears to work, but it seems inappropriate.   Note: I always assume here that amsmath is loaded.  I've already asked some questions above, but my main question is: which of these options is the best practice for textual subscripts?    Let me point out why I haven't mentioned \text, \textrm or \textup above. Those commands (mostly) keep the font of the context they're used in, e.g., in an italic context, \text and \textrm would give italic subscripts, and all three yield bold subscripts in a bold context.  Final note: This question is similar to, but not the same as all those  about the  between , , , ,  that have been asked before. Maybe it's still a duplicate&nbsp;... I did some mathematical induction problems on divisibility   $9^n$ $-$ $2^n$ is divisible by 7. $4^n$ $-$ $1$ is divisible by 3. $9^n$ $-$ $4^n$ is divisible by 5.   Can these be generalized as $a^n$ $-$ $b^n$$ = (a-b)N$, where N is an integer? But why is $a^n$ $-$ $b^n$$ = (a-b)N$ ?  I also see that $6^n$ $- 5n + 4$ is divisible by $5$ which is $6-5+4$ and $7^n$$+3n + 8$ is divisible by $9$ which is $7+3+8=18=9\cdot2$.  Are they just a coincidence or is there a theory behind?  Is it about modular arithmetic?