I am beginning to learn group theory (specifically finite groups) and I’m wondering which textbooks can help me.  So any suggestions for introductory texts?
Which textbook is good for introductory group theory?
Getting GIF and/or moving images into a LaTeX presentation I'm very new to presentations in LaTeX (I've been using PowerPoint for years but have finally converted). I am wondering how to get a GIF into a section. If need be, I can convert a GIF into lots of pictures and have them overlay to give the impression of movement. New line in Sql Query I'm downloading GTA V. After 20gb / 100gb I paused my download for restarting my pc. Then download restarts from 0%.  Why this could happen? Can I restart my PC during downloads without losing progress? How to change/rewrite the lost password url? I used iThemes Security (formerly Better WP Security) hide back-end functionality to change the login url to /signin however clicking the lost password link /wp-login.php?action=lostpassword now generate a 404  Manually going to /signin?action=lostpassword works.  I came across the following code below which is suppose to make the change to however after some testing it doesn't seem to work  //******************************************************* //Function to change to lost password url //******************************************************** add_filter('site_url',  'wplogin_filter', 10, 3); function wplogin_filter( $url, $path, $orig_scheme ){     $old  = array( "/(wp-login\.php)/");     $new  = array( "signin/"); //this can be change to login or whatever or may remain there     return preg_replace( $old, $new, $url, 1); }   add to .htaccess  RewriteRule ^signin$ wp-login.php   How can i modify the above code in order to change the url for the lost password? How should I use quotation marks in sections of multiline dialogue? If I want to introduce a “pause” between lines of dialogue from the same person by inserting a spacing line, how should I use the quotation marks correctly to indicate continued dialogue? I really don’t want to write it in a gossipy “he said, she said” way!  I have noticed that closing quotations aren’t always placed on the end of a line.  What are the rules? Question on determinants of matrices changing between integer matrices The following problem came up from a though I had while reading:  Let's say we have $M=\mathbb{Z}^n$ and we have another free $\mathbb{Z}$-module, $N$, inside of $M$ also with rank $n$.  We know we can make a matrix $A$ that changes $N$ to its representation in $M$ (ie has as columns the basis $N$ expressed in coordinates coming from the basis of $M$). If the index of $N$ in $M$ is $m$, I am pretty sure just from tinkering that the determinant of $A$ should also be $m$, however, I have not been able to show this.  It is unclear to me how to proceed. I though maybe I could do something related to the points in $\mathbb{Z}^n$ that are within the unit box of $N$, but I cannot really make sense of this.  Thank you for any help or direction. Migrated question's answers can be upvoted twice by the same user was created on Server Fault, answered on Server Fault, I upvoted some of those answers on Server Fault, and then moved by consensus to Super User.  Now that the question is on Super User, I can upvote the same answers I previously upvoted on Server Fault. Comma after a coordinating conjunction preceding a parenthetical at the start of the sentence Use dynamic variable names in JavaScript JavaScript get clipboard data on paste event (Cross browser) Are there any synonyms for the noun 'crush'? I must clarify, when I say 'crush', I mean the subject of an unrealistic, one-sided infatuation. For example, it can be used in this sentence: 'My celebrity crush is David Beckham.'  Could that word be interchanged for another? Preferably, can it be a word which is not necessarily too formal/complex? I've searched online for a while but can't find any synonyms for this form of 'crush.'  I want the word for a novel which is set in an old-ish fantasy period so I don't think 'crush' would feel in-place.  The main character is a lower-class worker. In an  about The Force Awakens, the author suggests that:      Rey is Luke’s daughter.   I’ve missed any indicators of any such relationship while watching the movie.       For instance, I took neither Luke’s lightsaber calling out to Rey, nor her hug of consolation with General Organa as such. Is there any evidence that Luke is Rey’s father?    Is it known who Rey’s parents are? Limit position rigidbody How can I limit the position of a rigidbody, between two values ​​if I use this code:  public Vector3 dir;  Rigidbody rb;  void Awake() {     rb = GetComponent&lt;Rigidbody&gt;(); }  void FixedUpdate() {     rb.velocity = new Vector3(0f, 0f, 6f);      rb.AddForce(dir * 1f, ForceMode.VelocityChange); }   If I use Vector3.Clamp then the object will shake I understand when we say current, we mean charge (protons/electrons) passing past a point per second. And the charges have energy due to the e.m.f. of the power supply.  Now tell me, if a lamp has resistance and you hook it in the circuit, how will the current stay the same? The charges obviously lose energy in the lamp and so become SLOWER, which should mean current decreases, right?  [Edit] All answers explained a bit of everything, so it was hard to choose one. If YOU are looking for an answer, please check the others too, in case the accepted one doesn't answer your question. file /dev/* prints the description of a bunch of files as "block special (M/N)" and "character special (M/N)", where M and N are numbers. For example:  $ file /dev/null /dev/null: character special (1/3)   man file doesn't seem to document these, but refers vaguely to man stat, which seems to refer to these as major and minor device types. apropos 'device type' finds nothing. So what do these numbers mean? $S_3$ permutes the elements of $\mathbb{R}^3$, show that $\sigma (x_1, x_2, x_3) = ( x_{\sigma^{-1}(1)}, x_{\sigma^{-1}(2)}, x_{\sigma^{-1}(3)})$. is "I'll" correct as a short answer? How do defenders of libertarian freewill reconcile it with constraints imposed by the laws of physics? Way to list "Contact Us" email address on web site, yet reduce likelihood of spam? Unable to shrink transaction log file in SQL Server I moved to a new company recently wherein they have 2 databases in a SQL server of size 20-25 GB. I'm unable to shrink the log file of the databases. Transaction log backup of the databases are set to run every 30 mins from 6 AM-7PM. They are of size 10 and 2 Gb respectively. I tried to shrink it around 8-9 PM last night but I was not able to do.  The log_reuse_wait column stated it's waiting on a log_backup. I tried taking couple of log backups which didn't help. I ran DBCC OPENTRAN but there are no open transactions.  Also, this morning even after the Tlog backups started at 6:00 AM till now(10:30) it still shows LOG_BACKUP in log_reuse_wait column. And no OPEN TRAN as well.  When I researched on this I found this article from Paul Randal:   It states that if the DB is small and all the content of tlog file is in same VLF it couldn't truncate. I have some 300-400 VLFs in the Databases. So that doesn't make sense here as well.   One thing I noticed that every morning at 6 AM the tlog is a little bigger than the other ones. So I'm thinking to check with the lead DBA to run tlog round the clock. Other than that, I would like to see why is this happening and Am i missing anything.  I tried to shrink with the below command:  Use DB1 go DBCC SHRINKFILE(2,10)  GO   Note: It's SQL 2012 instance running 0n 2012 compatibility