Minimum hardware requirements for ElasticSearch in docker
Can you help me with my capacity planning?
Existence of increasing sequence $\{x_n\}\subset S$ with $\lim_{n\to\infty}x_n=\sup S$ Let $S\subset\mathbb{R}$ be a non-empty bounded above set. Then there exists a monotone increasing sequence $\{x_n\}\subset S$ such that    $$\lim_{n\to\infty}x_n=\sup S.$$   I'm struggling with creating a formal proof for this problem. I understand that this has to be true, but I'm unsure of how to go about proving it.  I said that $\sup S = C$ and $x_n= C - y/n$ where $y$ is dependent on the size of $S$, but this is just a bunch of jumbled ideas and I can't really think of a way to formalize a proof. Any idea, even totally different from mine would be appreciated. Cannot see files in my external HDD So I'm trying to power 2 of these  together in series. I know that I have to add the voltage of the two lights together and get a resistor that restricts the power to that level. I have a 9V battery and the lights are 3V each. I brand new to all of this, and understand almost nothing, so any help would be appreciated. Can someone help me choose the correct resistor (And how to identify that resistor with the color branding thing) so two of those lights listed above can be wired in series? Thanks! Use of substitution into the integral $\int_0^2 \frac{\arctan x}{x^2+2x+2}dx$ We know that the Maiar sent to Middle-earth as Istari are not using their full Maiar power. Gandalf the Gray is more than a human power wise, but not nearly equal to his full real power.  Is it known (from canon) whether there is something explicitly restricting Olorin's power when he's Gandalf the Gray, or is he merely prohibited from using it but still has it at his disposal?  Question arose from  comment. Daniel was using Saruman having greater powers once he turned "bad" as his reasoning. Biber 2.14 - Puzzling repeated error : "Invalid format '2020-01-01' of date field 'date' - ignoring" Is it possible to scale specific apps on Windows 10? I have data in an Excel file that I want to join with a shapefile in my project. The Excel file contains values like volumes. The Excel file and the shapefile I want to join it with both contain the same property names.  The problem is, when I join the two, I get too many decimals in the attribute table. I get six, but I only want it to be one.  I tested to change the format of the cells to one decimal, and then I saved the file as *csv. But, somehow I seem to loose data in the process? It should be 42 rows that contains data in the column i am working with, but I end up with only like 10?  Another thing is that my property names contains the letters Å. Ä and Ö, perhaps this complicates things?  I read the question , but it doesn't mention the problem with the data loss.  My question was tagged with , but I didn't write what version I'm using. I use QGIS 2.2.0. Would it help to upgrade to the latest version? Database program with CSV import and ad-hoc SQL queries? Is there a database program for the Mac that makes it easy to import a CSV file into a table and then query and manipulate the data using ad-hoc SQL queries?  (A Windows example of a similar product would be Microsoft Access ... it also has forms and reports, which are not as important, but I would not mind a Mac solution that has those too.) Floating point calculations in LaTeX? I was putting the following in /etc/sysctl.conf in Ubuntu 16.04 and ipv6 was disabled.  net.ipv6.conf.all.disable_ipv6 = 1 net.ipv6.conf.default.disable_ipv6 = 1 net.ipv6.conf.lo.disable_ipv6 = 1   In Ubuntu 18.04 I have to add the following to grub.  GRUB_CMDLINE_LINUX_DEFAULT="ipv6.disable=1"   Just wanted to have confirmation whether this is the new way in Ubuntu 18.04 to disable IPv6. A commercial airport being any airport that has regular scheduled passenger flights.  The mathematics of  got me thinking: is the network of scheduled flights a connected graph?  That is, is there a pair (or triplet or even larger set) of airports such that they only have scheduled flights with each other?  Or can you get from any airport to any other?  Ignore vagaries like cargo and general aviation. I'm looking for two airports that I can shuttle between, but would have to drive (or sail) to get to one or the other of them. derivative of cost function for Logistic Regression I am going over the lectures on Machine Learning at Coursera.   I am struggling with the following. How can the partial derivative of   $$J(\theta)=-\frac{1}{m}\sum_{i=1}^{m}y^{i}\log(h_\theta(x^{i}))+(1-y^{i})\log(1-h_\theta(x^{i}))$$  where $h_{\theta}(x)$ is defined as follows  $$h_{\theta}(x)=g(\theta^{T}x)$$ $$g(z)=\frac{1}{1+e^{-z}}$$  be $$ \frac{\partial}{\partial\theta_{j}}J(\theta) =\sum_{i=1}^{m}(h_\theta(x^{i})-y^i)x_j^i$$  In other words, how would we go about calculating the partial derivative with respect to $\theta$ of the cost function (the logs are natural logarithms):  $$J(\theta)=-\frac{1}{m}\sum_{i=1}^{m}y^{i}\log(h_\theta(x^{i}))+(1-y^{i})\log(1-h_\theta(x^{i}))$$ Last months I have lots of referrer spammers in my GA statistics. Their count is ~10x higher than count of legit visitors (my site is not very popular yet). I've turned on an option to hide known spammers in GA settings, but it didn't help at all. It seems these spammers are using scripts to spam directly to GA (i.e. they are not logged in my IIS).  Is there anything I can do to stop these spammers?    UPD 10 months later, and they started spamming using fake target page names... and Google is still doing nothing about it. How to change the disk space left warning in Windows 7? my disk has over 100GB of free space, but the usage bar in Computer is displayed in red, as if it reached a low space limit. It looks like Windows applies the same 10% or 15% hard disk space value for low space warnings, regardless of if the disk is 50GB in size or 1.5TB, which is not very smart and obsolete for most recent computers.  Is there a Registry key or some place I can change this percentage so the usage bar displays in green, not red?  The hibernation and page files are already reserved (5GB together), so surely the low space warning for a 1.5TB disk should be 5-10GB, not 150GB or more. The way Windows 7 computes the low space limit seems pretty dumb, not much Intellisense there.  This is not a high priority issue, but it makes the Computer applet look pretty stupid and it's irritating every day to see that 100GB of free space is putting my computer in the red. It would also be nice to be able to edit this low limit percentage in Computer/Manage/Storage/Disk Management or directly in the disk properties ("Tools" tab). Adding word 'Table' before each entry in list of tables I need to prefix each entry in list of tables and figures with appropriate text - table or figure for each. Also I need to remove chapter numbers from list, because tables are numbered consequently through the whole report.  I managed to do everyting I need with this simple commands:  \renewcommand{\thetable}{\arabic{table}} \renewcommand{\thefigure}{\arabic{figure}}  \makeatletter \providecommand\phantomsection{}% for hyperref  \newcommand\listoftablesandfigures{%     \chapter*{List of Tables and Figures}%     \phantomsection %\addcontentsline{toc}{chapter}{List of Illustrations}% %\section*{Figures}% %\phantomsection %\addcontentsline{toc}{section}{\protect\numberline{}Figures}% \@starttoc{lof}% \bigskip %\section*{Tables}% %\phantomsection %\addcontentsline{toc}{section}{\protect\numberline{}Tables}% \@starttoc{lot}} \makeatother   Now only one thing remains: to be consistent with text in list of tables and figures. Using TIPA with fontspec I'm glad the outside overlay scrollbars are finally gone.  But the scrollbar is still a razor thin line that becomes a less razor thin scrollbar, but still thin scrollbar, when the mouse hovers.  How can I get a normal scrollbar? I.e., like in other OSes, like in Firefox, a scrollbar that doesn't change depending on what the mouse points to, and with a nice width.  I already tried  gsettings set com.canonical.desktop.interface scrollbar-mode normal   but no luck. optimality of the Carnot cycle Prove that $(p+q)^m \leq p^m+q^m$