If order of group is $p^2$, where $p$ is prime, how can you deduce $G$ is isomorphic to $C_{p^2}$ or $C_p \times C_p$? Given $|G|=p^2$ then how can you deduce $G\cong C_{p^2}$ or $G \cong C_p \times C_p$  I have shown that G is abelian, not sure what to do next
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$ If the order of $G$ is $p^2$ then how do I show that $G$ is isomorphic to $\mathbb Z_{p^2}$ or $\mathbb Z_p\times\mathbb Z_p$.
Differences between LuaTeX, ConTeXt and XeTeX Difference between phrase and idiom What is the difference between a phrase and an idiom? Why did my TeX-related GUI program stop working in Mac OS X Yosemite? How do the EV stats work? I downloaded a file from the internet (I can link to it here, but in the interests of not annoying other users, I won't post the link), and I can't delete the file with the message:   You need permission to perform this action  You require permission from the computer's administrator to make changes to this file   Trouble is, I am the administrator and UAC is completely off.  If I go into the Properties/Security tab, I get the message   You do not have permission to view or edit this object's permission settings   Clicking "Advanced"/Owner, it says:   Current owner: Unable to display current owner.   If i try to change the owner, I get the same message:   Unable to set new owner on file  Access is denied. Scale camera to fit screen size unity My background and gameobjects are 2d sprites not UI images ,I want to know how to make my background scale with screen size and positions of 2d sprits on it don't change after building game (webGl) like scale canvas with screen size and anchor points in UI elements .  Before building the game   After building Preface: Every couple of days there comes a question of this type, which is easy to solve with sed, but takes time to explain. I'm writing this question and answer, so I can later refer to this generic solution and only explain the adaption for the specific case. Feel free to contribute.  I have files with variable definitions. Variables consist of uppercase letters or underscore _ and their values follow after the :=. The values can contain other variables. This is Gnom.def:  NAME:=Gnom FULL_NAME:=$FIRST_NAME $NAME FIRST_NAME:=Sman STREET:=Mainstreet 42 TOWN:=Nowhere BIRTHDAY:=May 1st, 1999   Then there is another file form.txt with a template form:  $NAME Full name: $FULL_NAME Address: $STREET in $TOWN Birthday: $BIRTHDAY Don't be confused by $NAMES   Now I want a script which replaces the variables (marked with $ and the identifier) in the form by the definitions in the other file, recursively, if necessary, so I get this text back:  Gnom Full name: Sman Gnom Address: Mainstreet 42 in Nowhere Birthday: May 1st, 1999 Don't be confused by $NAMES   The last line is to ensure that no substrings of variables get replaced accidentally. Does flying to Panama from the US reset the ESTA time counter? What is the difference between ANSI/ISO C++ and C++/CLI? java.rmi.NoSuchObjectException: no such object in table I am writing a very simple RMI server, and I am seeing intermittent java.rmi.NoSuchObjectExceptions in the unit tests.   I have a string of remote method calls on the same object, and while the first few go through, the later ones will sometimes fail. I am not doing anything to unregister the server object in between.  These error do not appear always, and if I put in breakpoints they tend to not appear. Are those Heisenbugs, whose race conditions dissolve when looking at them through the slowed down execution of the debugger? There is no multi-threading going on in my test or server code (though maybe inside of the RMI stack?).  I am running this on Mac OS X 10.5 (Java 1.5) through Eclipse's JUnit plugin, and the RMI server and client are both in the same JVM.  What can cause these exceptions? When (and why) should you take the log of a distribution (of numbers)? What is the meaning of the density of a distribution at a point? I know how to use PDFs to calculate probabilities, but I don't think I understand them. For example, at $X=0$ the PDF of the standard normal distribution is $\approx 0.4$. Does this have any useful meaning? Change owner of internal hard drive partition from root to user I have a number of drives internal and external. Some are partitioned. Most mount automatically at boot (all did at one point).    One partition is owned by root and therefore does not mount automatically. I know how to mount it as root.   I do not know how to take ownership of that partition as user X. I have tried changing permissions using the gui in Nautilus as root. They are not accepted and immediately revert.  The partition is NTFS. The other parition on that drive is owned by me as user and mounts automatically Determine the convergence of $ \sum_{n=1}^{\infty}\left[1-\cos\left(1 \over n\right)\right] $ dist$(x,A)=0$ if and only if $x\in \overline{A}$ (closure of $A$) Creating or adding geometry colunm fails even with postgis enabled Given Newton's third law, why is there motion at all? Should not all forces even themselves out, so nothing moves at all? When I push a table using my finger, the table applies the same force onto my finger like my finger does on the table just with an opposing direction, nothing happens except that I feel the opposing force. But why can I push a box on a table by applying force ($F=ma$) on one side, obviously outbalancing the force the box has on my finger and at the same time outbalancing the friction the box has on the table? I obviously have the greater mass and acceleration as for example the matchbox on the table and thusly I can move it, but shouldn't the third law prevent that from even happening? Shouldn't the matchbox just accommodate to said force and applying the same force to me in opposing direction? Comparing two Lists and returning the distinct values and the differences Windows service stops automatically A customer has a 6-screen setup for each workstation and would like various pages of a web app to be opened automatically in each of the screens on startup or invoking a shortcut. (The target web browser is likely to be Chrome).  I wondered whether it would be possible to use Javascript window.open to do this but one possible snag is the customer may wish to have tabbed browsing with popup blocker turned on. (OK, these could be overridden but such config is currently out of our control...)  So the question is: Could a script (e.g. batch file) be written to open multiple instances of the browser at specified coordinates within the 6 screens (each pointing to different URLs)?  [This is basically the same question as  but for Windows instead of Ubuntu.]