Find sum of series $ \sum_{n=1}^{\infty} (n\cdot \ln \frac{2n+1}{2n-1} - 1) $
Series involving log $\sum_{n=1}^{\infty} \left( n\log \left(\frac{2n+1}{2n-1}\right)-1\right) = \frac{1-\log 2}{2}$
When will SO stop wasting real estate of my screen by having static width layout?  EDIT  It would be very interesting to hear how does Joel, being UI specialist, feel about this. JoelOnSoftware site has fluid layout... Cutting strands of wire to fit plug I am a hvac tech, but my question is I have 2awg stranded and my plug is 6awg, will it matter much if I cut some strands to fit my plug? the plug is 60amp 250vac for a piece of kitchen equipment if the matters. Ridiculous error on all google play store Using CM 10.1.3 Number of functions from n-element set to {1, 2, …, m} I've gotten stuck at the following exercise;     There are m functions from a one-element set to the set {1, 2, …, m}.   How many functions are there from a two-element set to {1, 2, …, m}?   From a three-element set? Give a recurrence for the number of T(n) of   functions from an n-element set to {1, 2, …, m}. Solve the recurrence.   I'm not sure how to begin solving it? File Upload using Selenium WebDriver and Java Robot Class Deleting photos on the phone - does it affect them on iCloud? When should I use "a" versus "an" in front of a word beginning with the letter h? A basic grammar rule is to use an instead of a before a vowel sound. Given that historic is not pronounced with a silent h, I use “a historic”. Is this correct? What about heroic? Should be “It was a heroic act” or “It was an heroic act”?  I remember reading somewhere that the h is sometimes silent, in which case it’s an, and when the h is pronounced, it’s a. But then I also remember reading that it depends on which syllable is stressed. And I also think I read somewhere that it might differ between British and American English.  Personally, I pronounce the h, and believe that a is correct. I find that it sounds incorrect to use an and pronounce heroic without the h.  So how do I know when to use a and when to use an with a word beginning with the letter h? Are both acceptable or is there one that is correct? Best word for "unable to change" How to efficiently count the number of keys/properties of an object in JavaScript? What's the fastest way to count the number of keys/properties of an object?  It it possible to do this without iterating over the object?  i.e. without doing  var count = 0; for (k in myobj) if (myobj.hasOwnProperty(k)) count++;   (Firefox did provide a magic __count__ property, but this was removed somewhere around version 4.) Subject-Verb Agreement The conditions $a^2b^2=b^2a^2$ and $a^3b^3=b^3a^3$ make the group $G$ abelian? Coloring specific elements of sets with a prime modified order in an array plot Can't install rtl8192eu-linux-driver on UBUNTU 18.10 Is there a way I can inspect my character's face at any point in the game after creating it during the bathroom scene?  I am playing on PlayStation 4 and rotating with the right stick in 3rd-person view obviously does not show the face. I haven't found any mirrors or shiny objects to use the reflection either.  The reason for this is that I forgot what she looks like and also I want to share my monstrous creation with others but I have already left the vault! SharePoint online REST: Get users profile properties I'm looking for some help with a REST call I'm attempting to make in SharePoint Online.  I'm doing an add-in that gives me the name, birhday and photo property of all user in user profiles    I tried with this code   var siteUrl = _spPageContextInfo.siteAbsoluteUrl;     Console.log(siteUrl);     $.ajax({         url: siteUrl + "/_api/SP.UserProfiles.PeopleManager/GetMyProperties",         method: "GET",         headers: { "Accept": "application/json; odata=verbose" },         success: function (data) {             console.log(data);         },         error: function(error) {             console.log(error);         }     });   but I only get current user profile properties, what I need is all user profiles properties for all users, how can i achieve that?  Thanks in advance! How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$ is injective, then $\phi$ is also injective? How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$  (where $\phi : E \rightarrow F$ and $\psi : F \rightarrow G$) is (1) injective, then $\phi$ is injective and when (2) $\Phi$ is surjective, then $\psi$ is also surjective ?  I've tried to prove it by the definition of injection and surjection, but I'm not convinced myself by it.  For example, in the first case :  If $\Phi$ is injective, $\forall g \in G$, we have $0$ or $1$ $e \in E$ such as $\Phi(e)=g$.  $\Rightarrow \Phi(e) = \psi(\phi(e)) = \psi(f) =g$.   So $\forall f \in F$, we also have $0$ or $1$ $e \in E$ such as $\phi(e)=f \in F$.   $\Rightarrow \phi$ is injective.  Is this right or did I prove nothing at all ? I think it is easier to convince myself/ to understand with surjectivity but still.. How to search for upcoming conferences that will be held in a specific subject tarring in parallel An Oceanographer friend at work needs to back up many months worth of data.  She is overwhelmed so I volunteered to do it.  There are hundreds of directories to be backed up and we want to tar/bzip them into files with the same name as the directory.  I can do this easy enough serially - but - I wanted to take advantage of the several hundred cores on my work station.  Question:  using find with the -n -P args or GNU Parallel, how do I tar/bzip the directories, using as many cores as possible while naming the end product:  origonalDirName.tar.bz2?  I have used find to bunzip 100 files simultaneously and it was VERY fast - so this is the way to approach the problem though I do not know how to get each filename to be that of each directory. If monotone decreasing and $\int_0^\infty f(x)dx <\infty$ then $\lim\limits_{x\to\infty} xf(x)=0.$ Trying to install ubuntu on a laptop. The "bios/uefi" has no uefi boot options &amp; the windows boot manager just kicks in. The only "option" is "boot from hard disk". So we tried to use efibootmgr to put grub to boot first.  When we run an efibootmgr -o xxxx,xxxx,xxxx command it seems like the order gets fixed but on reboot the windows boot manager still has control, then when we re-opened the live usb &amp; checked the boot order it remains unaffected.  What are other ways to change the efi boot order? Maybe by mounting the efi partition (in mnt) and doing what?