Does $\lim_{k \to \infty}[(\sum_{n=1}^{k}\frac{1}{n})-\ln k]$ exists?
Relationship between Partial Harmonic Sum and Logarithm.
What changes with Kerberos authentication in IPv6 when everyone has a public IPv6 Address? How should Kerberos authentication be set up with IPv6?     What implications are there when client devices each use a public, globally routeable IPv6 IP address?  What changes when setup this way instead of using a NAT as was the norm with IPv4? Should we improve time to first byte or Page Speed Insights score for SEO? Google posted last summer that "page speed" will impact the search result rankings also on mobile devices. But I think there is a little confusion about the term "page speed".  The test tool which Google offers is called "Page Speed Insights". Many people we are talking with, are thinking that the overall score of this tool for a particular site for example Desktop: 46/100 and Mobile: 45/100 is used for the ranking algorithm.  BUT I found a very interesting article in German language which states that only the TTFB (time to first byte) value is used and this should be optimized not all suggestions which "Page Speed Insights", further called PSI offers. Here is the link to the German article:   In short terms it says that a very large site in this case "The New York Times" has a low overall score of Mobile:41 and Desktop:45. As they are used to sell reader memberships they should  offer a great user experience. So, they should optimize their site. But when I call this site it is amazing fast. The overall PSI score does not reflect this behaviour. But when I believe this article the TTFB for this site is perfect. Also when I call it here from Austria it states 0.881sec.  I really like to know on which value we should focus our work for optimization not to fall in the ranking. Because as many of you already said it is not useful to implement all suggestions from the PSI site for one domain.  So, it would be real  if you could clarify things here or post links to official posts from Google. What I found about this, Google always is talking about "page speed" but what exactly is this? How is a pitch supporting fast bowlers or spin bowlers? Can you wait to add optional damage dice that apply on a hit (such as Divine Smite) until after seeing if the roll is a critical? How to compute moments of log normal distribution? The computed moments of log normal distribution can be found . How to compute them? Why should the first person pronoun 'I' always be capitalized? Why should we capitalize the first person pronoun 'I' even when it does not appear at the beginning of a sentence? Why is it not the case for other pronouns? How do I edit PDF files produced by LaTeX in Illustrator? Fonts are not found When I try to use Adobe Illustrator (CS4) to edit a PDF file produced by LaTeX with several equations in it, Illustrator complains that it can't find the fonts:  The font CMBX10 is missing.  Affected text will be displayed using a substitute font. The font CMMI10 is missing.  Affected text will be displayed using a substitute font. The font CMMI6 is missing.  Affected text will be displayed using a substitute font. The font CMMI7 is missing.  Affected text will be displayed using a substitute font. The font CMMI8 is missing.  Affected text will be displayed using a substitute font. The font CMMIB10 is missing.  Affected text will be displayed using a substitute font. The font CMR10 is missing.  Affected text will be displayed using a substitute font. The font CMR7 is missing.  Affected text will be displayed using a substitute font. The font CMSY10 is missing.  Affected text will be displayed using a substitute font. The font CMSY6 is missing.  Affected text will be displayed using a substitute font. The font CMSY7 is missing.  Affected text will be displayed using a substitute font. The font MSBM10 is missing.  Affected text will be displayed using a substitute font. To preserve appearance, some text has been outlined.   How do I find &amp; install the necessary fonts? Advantages of using different metric signatures in relativity and QFT I am studying General Relativity and some basic QFTs. It bothers me a lot that different books use different metric signatures, i.e. $(-+++)$ and $(+---).$ Can anyone tell me the advantages of using both of them, or why some people prefer the former while some prefer the latter? I would like to know which one should I while tackling different problems. How to draw a picture by using tikz as backgroud of a character? I am writing some Chinese character and hope to draw simple pictures by tikz and use it as background of this chinese characters. In a short I'd like to get some results as this picture (ignore the lower right noise):    How could I do? Thanks in advance. As an example for least workable code:  \documentclass{article} \usepackage[CJKnumber]{xeCJK} \setmainfont{KaiTi}  \begin{document} \Huge 明月出天山 \end{document} I've just upgraded to Windows 10 from Windows 8.1 on my partitioned laptop that has Ubuntu 14.04 installed. Grub no longer appeared on boot so I ran boot-repair from an Ubuntu liveUSB. This didn't seem to have any effect. I've checked and secure boot is still disabled. Log from boot-repair:  So what's next?  Update: I've attempted to use chroot to update grub from my Ubuntu partition. update-grub runs successfully finding both linux and windows boot manager but the process still doesn't have any effect. grub-install complains that it cannot find EFI directory (but I have mounted everything correctly).  Update2: Just discovered that running efibootmgr after chroot into ubuntu shows ubuntu as not being in the boot order at all. I manually changed the order and rebooted to discover that the bootorder was reset. I run in windows: bcdedit /set {bootmgr} path \EFI\ubuntu\shimx64.efi But this has no effect either even after reporting 'Operation Successful'. How can I know if a branch has been already merged into master? I have a git repository with multiple branches.   How can I know which branches are already merged into the master branch? Programmatical Setting of 'Store Relative Pathways' for multiple MXDs ArcGIS 10.1 I am looking to move large number of mxds to a different location on the same drive. Many mxds haven't got 'Store relative pathways' option checked therefore this operation will result in broken links to data. I've only started using ArcGIS 10.1 and it is now possible to programmatically update relative pathways for all mxds by using arcPy and setting relativePaths to be "True". I had a go at writing Python script which (in theory) loops through a top folder and searches for all mxds and then updates "Store relative pathways" setting to be on. When I run this script in PyScripter, it fails to complete, I get the following error:  "exceptions.NameError: name 'mxd' is not defined  Can anyone help ?!? Thanks in advance, Magda      import arcpy, os  folderPath = r"C:\My Folder Path\...\...\..."  for filename in os.listdir(folderPath):     fullpath = os.path.join(folderPath, filename)     if os.path.isfile(fullpath):         basename, extension = os.path.splitext(fullpath)         if extension.lower() == ".mxd":             mxd = arcpy.mapping.MapDocument(fullpath)             mxd.relativePaths = 'True'         mxd.save() del mxd pc ram memory 2x1GB or 1x2GB I don't know if it's the right place to ask but can somebody advise me for buying a ram memory for my computer.  I have a Dell Vostro 200 with 1GB of RAM and 667MHz. (2 x 512MB)  I want to buy raise the amount of RAM but I'm confused whether to buy 1 x 2GB or 2 x 1GB  I know it's the same for the available amount of memory but is ther a difference maybe in the clock speed so that 2 x 667MHz will be better than 1 x 667MHz. or maybe accessing one single memory slot will be faster and better than accessing two slots.  Please anyone helps. Show $||Tx||_2 \leq ||(v_n)||_2 \cdot ||x||_{\infty}$ Let $(v_n)_{n \geq 1} \in \ell ^2$ be a fixed bounded sequence of real numbers. Define a mapping $T$ on $\ell ^{\infty}$ using the formula $$T(a_1, a_2,...)=(v_1a_1,v_2a_2,...), \, \, \, \, \, x=(a_1,a_2,...) \in \ell^{\infty}$$  We can use the fact that, $Tx \in \ell^2 $ for every $x \in \ell^{\infty}$ and $T: (\ell^{\infty},||\cdot ||_{\infty}) \rightarrow (\ell^{2},||\cdot ||_{2})$ is a linear operator.  Show $||Tx||_2 \leq ||(v_n)||_2 \cdot ||x||_{\infty}$ for all $x \in \ell^{\infty}$    Here is what I tried:  $||Tx||_2 = \bigg( \sum v_k^2 a_k^2 \bigg)^{1/2} \leq (||x||_{\infty}^2 \sum v_k^2 )^{1/2}= (||x||_{\infty}^2 ||(v_k)||_2^2 )^{1/2} = ||(v_k)||_2 \cdot ||x||_{\infty}$  Is this OK? How does the Schengen 90/180 rule work? I have searched the web a lot and could not find an answer that fits my situation. Here are two links that are quite contradictory:       My situation:  I've visited Portugal in December 2012 for 29 days on a Schengen visa valid from December 1st, 2012 to February 1st, 2013 for research purposes (I am a Ph.D. student). I want to visit Sweden from February 10th, 2013 to May 10th, 2013 (89 days). I have applied for a Schengen visa again (for research). How will the 90/180 rule work in my situation? Can't open snap-store How to include a PDF image into a PDFLaTeX document I am generating a PDF file using pdflatex and need to include another PDF file. The reason is that I have a graphMl file which I exported from yEd graph editor to a PDF file, named sample.pdf. The TeX code to be compiled with pdflatex is given below. I need to include that file at the start of the document.   \documentclass[a4paper,leqno,twoside]{article}  \usepackage[latin1]{inputenc} \usepackage[english]{babel} \usepackage{multirow}  \begin{document}   [% FOREACH st IN Service %]    Name,Id:   [% st.Id %], [% st.Name %]     des:   [% st.Description %]    Customers:  [% FOREACH softservice IN st.Customers %]   [% FOREACH swid IN softservice.SW %]  [% swid.Service %]   [% FOREACH st IN Service %][% IF swid.Service == st.Id %]     ([% st.Name %])     [% END %] [% END %][% END %][% END %]    Suppliers:    [% FOREACH shservice IN st.Suppliers %]    [% FOREACH sw IN shservice.SW %][% sw.Service %]     [% FOREACH st IN Service %][% IF sw.Service == st.Id %]([% st.Name %])      [% END %][% END %][% END %]    [% FOREACH hw IN shservice.HW %][% hw.Type %][% hw.Nr %][% END %]   [% END %]   \newpage   [% END %] \end{document} Is there a reason why we gain ghost reputation on the meta of an SE website? Is there any reason behind the ghost reputation we gain on the meta of a Stack Exchange site? This reputation doesn't add up to anything, but it still shows me I have gained some. Is this supposed to make any sense? Environment variables are not passed to sub scripts while running on crontab I was trying to run one of the scripts (for example, wrapper.sh) which internally executes other scripts using crontab. It works fine without any issues.  When I have created a environment file (which stores the passwords-DB and paths) and trying to execute the main script (wrapper.sh) the cron entry doesn't work on those scripts which are called internally in the wrapper.  NOTE: I tried changing PATH, added env file location before the script in cron but it still didn't work:  9 9 * * * . /$SOMEPATH/some.env; /$SOMEPATH/wrapper.sh   The environment script and wrapper.sh are in same path. when the cron runs it passes the env variables to wrapper but not to the scripts which are called internally in wrapper. Also a mail is received on /var/mail/$user saying the env file as "No such file or Directory". I've gone through many posts but couldn't figure out the resolution. Warning when battery is fully charged I would like to get an alert (with sound) when my laptop battery is fully charged.  How can I do that?