Prove that $\lim\limits_{n\to\infty}\frac{1}{n}\left(1+\frac{1}{2}+\cdots+\frac{1}{n}\right)=0$
Test for the convergence of the sequence $S_n =\frac1n \left(1 + \frac{1}{2} + \frac{1}{3} + \cdots+ \frac{1}{n}\right)$
RegEx: Grabbing values between quotation marks In (non-relativistic) classical physics, if the temperature of an object is proportional to the average kinetic energy ${1 \over 2} m\overline {v^{2}}$of its particles (or molecules), then shouldn't that temperature depend on the frame of reference - since $\overline {v^{2}}$ will be different in different frames?  (I.e. In the lab frame  $K_l = {1 \over 2} m\overline {v^{2}} $, but in a frame moving with velocity $u$ relative to the lab frame, $K_u =  {1 \over 2} m \overline {(v+u)^{2}}$). Is there a printable version of a reference manual for all TeX primitives? Passing custom string into a Salesforce email template. Is the humanoid appearance of most alien species in the Star Trek universe ever canonically addressed? The vast majority of intelligent species in the Star Trek universe are bipedal, humanoid creatures.  From the lot I've seen of TOS, TNG, DS9, Voyager, Enterprise, and the movies, it seems that this coincidence goes largely unquestioned.  Metaknowledge grants that it is much easier to have human actors portray human-like beings, and so this was probably done due to budgetary/technological limitations.  However, I'm wondering if an in-universe reason for this was ever given or explored? Do not show the score for users during primaries I believe that showing the post score for nomination posts during primaries is a bad idea.  When I loaded the primaries page during the election, the first thing I saw was a post voted -1. This immediately colored my impression of the post. Reading his post didn't indeed make me wish he was a moderator, but at the same point I couldn't bring myself to click on the down arrow. He wasn't an awesome candidate, but he wasn't a -2 score candidate either. Actually, I kinda wanted to sympathy upvote instead.  I want to judge by myself whether a candidate is worth or not my +1. For some of those people I don't have an opinion already, and I want to form one on my own. I don't want game theory to kick in, I don't want to be tricked into sympathy upvotes.  Having those numbers in large print as the first thing I see about them honestly prevents me from doing so. I'd rather have their avatar there.     Some people on chat do not agree with me;  I imagine they'll post explaining why I want to be aware of their opinion while forming my own.      Regardless of the discussion here, if you do prefer to hide the scores as you vote, here's the jQuery oneliner that does just that:  $(".vote-count-post").hide() A new tab for a record Type! Hello Folks,              I have a question which might be more on the admin side of the force.com platform but involves development.  Question: If I create record types for an object, how can I create separate tabs for the same object but different record types. And, since they all are going to share the same fields, how can I distinguish the labeling?  I dont think this is currently possible, but I would like to know how can it be achieved?  What I have tried: I tried creating visualforce pages with enhanced lists but then in the enhanced list I can not specify the record type.  Please let me know how can I achieve this! Thank you for the help. Nuclear Binding energy Teleporting a player from the overworld to the end Is there any way to teleport a player from the overworld to the end?   Or a way of teleporting a player to a random enderman in the end? How to implement Bitcount using only Bitwise operators? Are threads implemented as processes on Linux? I'm going through , Advanced Linux Programming by Mark Mitchell, Jeffrey Oldham, and Alex Samuel. It's from 2001, so a bit old. But I find it quite good anyhow.  However, I got to a point when it diverges from what my Linux produces in the shell output. On page 92 (116 in the viewer), the chapter 4.5 GNU/Linux Thread Implementation begins with the paragraph containing this statement:     The implementation of POSIX threads on GNU/Linux differs from the   thread implementation on many other UNIX-like systems in an important   way: on GNU/Linux, threads are implemented as processes.   This seems like a key point and is later illustrated with a C code. The output in the book is:  main thread pid is 14608 child thread pid is 14610   And in my Ubuntu 16.04 it is:  main thread pid is 3615 child thread pid is 3615   ps output supports this.  I guess something must have changed between 2001 and now.  The next subchapter on the next page, 4.5.1 Signal Handling, builds up on the previous statement:     The behavior of the interaction between signals and threads varies   from one UNIX-like system to another. In GNU/Linux, the behavior is   dictated by the fact that threads are implemented as processes.   And it looks like this will be even more important later on in the book. Could someone explain what's going on here?  I've seen this one , but it doesn't help much. I'm confused.  This is the C code:  #include &lt;pthread.h&gt; #include &lt;stdio.h&gt; #include &lt;unistd.h&gt;  void* thread_function (void* arg) {     fprintf (stderr, "child thread pid is %d\n", (int) getpid ());     /* Spin forever. */     while (1);     return NULL; }  int main () {     pthread_t thread;     fprintf (stderr, "main thread pid is %d\n", (int) getpid ());     pthread_create (&amp;thread, NULL, &amp;thread_function, NULL);     /* Spin forever. */     while (1);     return 0; } What does the word treats mean in this context? I don't think it means entertainment, food, drink etc.. Maybe it is an old usage of this word? Does it mean influencing factors or something like that?  This is the first part of the title of the first chapter of the novel "Oliver Twist" by Charles Dickens. The whole title reads:     Treats of the Place Where Oliver Twist was Born and of the Circumstances Attending His Birth Launching an Applet fails? Degree of Field Extensions and $F(\alpha)$ Suppose that $[F(\alpha):F]$ is odd. Show that $F(\alpha)=F(\alpha^{2})$. Generalize this statement if possible.    Clearly, we always have that $F(\alpha^{2}) \subset F(\alpha)$ by definition of the field generated by $F$ and $\alpha$ (assuming that we have a field extension $K/F$ where $\alpha \in K$). However, how can we show the other inclusion? If the degree is odd, then it follows that $\alpha$ will solve a polynomial of odd degree in $K[x]$ (for the coefficients in $F$). What would be a way to proceed from here? (and as well to generalize the statement?)  I was thinking of using the formula: $[F(\alpha):F]=[F(\alpha):F(\alpha^{2})][F(\alpha^{2}):F]$ and maybe proceed from there.   Thanks for the help. Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$? What is the progression route in Terraria? String Comparison in Java Pretty tricky cmd Xml configuration versus Annotation based configuration In a few large projects i have been working on lately it seems to become increasingly important to choose one or the other (XML or Annotation). As projects grow, consistency is very important for maintainability.   My questions are: what are the advantages of XML-based configuration over Annotation-based configuration and what are the advantages of Annotation-based configuration over XML-based configuration? What hinge is this? Bit of a newbie to DIY here.  We've moved in to a house that came with a summer house but the double doors were a bit wonky/wouldn't open easily without breaking in the door. I need to get 4 new hinges for the doors but I'm not sure where I can find these ones. I've looked online on UK sites such as Screwfix but as I'm not sure of the particular name I'm not having much luck.  I've attached a drawing (sorry it's the best I can do as my camera isn't working). My Paint skills aren't the best, it's actually a cylinder shape and half of it spins/moves (this is what is broken/doesn't move anymore so it breaks in to the door).    Cheers, Jack