How to integrate $\int_0^1 \frac{x^7-1}{\log(x)}dx$?
What is $\int_0^1\frac{x^7-1}{\log(x)}\mathrm dx$?
Call java program from Node.js application How to resolve a hostname to an IP address in Metro/WinRT? Of course most languages have library functions for this, but suppose I want to do it myself.  Suppose that the float is given like in a C or Java program (except for the 'f' or 'd' suffix), for example "4.2e1", ".42e2" or simply "42". In general, we have the "integer part" before the decimal point, the "fractional part" after the decimal point, and the "exponent". All three are integers.  It is easy to find and process the individual digits, but how do you compose them into a value of type float or double without losing precision?  I'm thinking of multiplying the integer part with 10^n, where n is the number of digits in the fractional part, and then adding the fractional part to the integer part and subtracting n from the exponent. This effectively turns 4.2e1 into 42e0, for example. Then I could use the pow function to compute 10^exponent and multiply the result with the new integer part. The question is, does this method guarantee maximum precision throughout?  Any thoughts on this? Is a visa to Poland required for a Russian spouse of a Polish citizen? I am a holder of a Russian passport and my husband is a Polish citizen. We both live and work in the UK. I have received my family member of EEA national card, good for 5 years. We would like to travel to Poland together. On the website of the Polish embassy it clearly states that if we are traveling together, I do not require a visa, however in the embassy they were sure that I do need a visa. Could anyone please clarify? On some Microsoft Access queries, I get the following message:  Operation must use an updatable query. (Error 3073).  I work around it by using temporary tables, but I'm wondering if there's a better way.  All the tables involved have a primary key. Here's the code:  UPDATE CLOG SET CLOG.NEXTDUE = (     SELECT H1.paidthru      FROM CTRHIST as H1     WHERE H1.ACCT = clog.ACCT AND     H1.SEQNO = (         SELECT MAX(SEQNO)          FROM CTRHIST          WHERE CTRHIST.ACCT = Clog.ACCT AND          CTRHIST.AMTPAID &gt; 0 AND         CTRHIST.DATEPAID &lt; CLOG.UPDATED_ON     ) ) WHERE CLOG.NEXTDUE IS NULL; Rule of thumb for number of bootstrap samples I wonder if someone knows any general rules of thumb regarding the number of bootstrap samples one should use, based on characteristics of the data (number of observations, etc.) and/or the variables included? I just want to know if my proof to this question is correct. First, I proved it was true for $n = 4$. $$4!&gt;2^4$$ $$24&gt;16$$ Then, I assumed that it was true for $n=k$. $$k!&gt;2^k$$ Afterwards, I tried to prove it for $n=k+1$. $$(k+1)!&gt;2^{k+1}$$ $$(k+1)k!&gt;(2)(2^k)$$ Since $k!&gt;2^k$, am I allowed to simply do $$(k+1)(2^k)&gt;(2)(2^k)$$ $$(k+1)&gt;2$$ and this is true for all $k\geq3$. Would the last two steps be illegal because I only assumed that $k!&gt;2^k$ is true? Create line heatmap with QGIS I have loaded my bike tours as .gpx files into QGIS.    It already looks quite nice but I was wondering if it might be possible to create something similar to the strava heatmap with tools of QGIS.     I have tried to generate points along the lines and use kernel density but it just does not look nice as a raster layer.  Any suggestions? First off I did try the power options setting and it's on 'Never' but that did nothing. The drive still spins down after 15-20 seconds of not being used. I need it to spin all the time because it's more efficient with my way of using it. Also listening to music from that drive is absolutely destroying the drive making it spin up and down all the time causing immense wear and tear. Any ideas on how to stop it from spinning down? Please don't suggest bat files that keep creating editing a file.  &nbsp;  Oh and here is the model of the drive: wdc wd10jpvx-22jc3t0 and my OS is Windows 10 64 bit. Redirect Restricted Page to 404 Is there a way to show a 404 page if the current logged in user does not have the right clearance to view the page? I am looking for a PHP method, something like  if( !current_user_can('administrator') ) { show_404(); exit(); }   I have thought about using a redirect, but I would like to keep the url the same. Could we provide some automatic feedback on (enough) unfriendly/rude comments? Animations with movie15 and swf files I am trying to use movie15 to embed vector animations in my presentation. The trouble is that embedded SWF files refuse to display on Acrobat Reader X sometimes with a "This Media requires an additional player" message. Eg. this  doesn't work. Animated GIFs won't display either, with no error message.   Maybe this is an Acrobat issue but I tried the flashmovie package with the same SWF files and that does work (but only with the embedded player option so no controls are visible). But flashmovie is supposedly unstable with beamer so I was wondering if someone had run into the same problem with movie15.  I am using Windows 7, Acrobat 10.1.2 and MiKTeX. Since Chrome version 38, there's a pretty ugly button in the title bar of the Chrome window that allows you to switch profiles quickly.  Since I'm the only one that uses my computer, this is not really useful to me, and I'd rather reclaim the space for more open tabs.  I've looked in the settings but don't see a way to disable it.  How can I get rid of the button? I tried to use the usb-creator.exe from Ubuntu 10.10 desktop i386 ISO image and it does create an USB stick that doesn't boot. When I try to boot from it I get:     Operating System not found.   I try to do this from Windows 7 x64. I'm not looking to create a live Ubuntu media, only an installation USB disk.  I repeated the process several times and I even tried to reformat the USB drive (FAT32), no success yet.  The USB stick is a 8GB one. How to make a standalone document with one equation? I was surprised to find that standalone package can not compile a document with an equation:  \documentclass{standalone} \begin{document} \begin{equation} % not working! F(V, T) = E(V) + D(T) \end{equation} \end{document}   Is there an option or some workaround that allows this? The current error is something like:   ! Missing $ inserted.   in line 4. (The idea of course is that the including (main) document can just \input the standalone without knowing if is going to be an equation or something else) How can I use asymmetric encryption, such as RSA, to encrypt an arbitrary length of plaintext? Linked server returned message "Query timeout expired." We have two separate SQL Servers. On one server we have a data warehouse (DWH), on the other we have sales information database.  Now on the DWH server there is an ETL job that collects the information from the sales server. The job runs daily after midnight. The DWH collects the information via linked server from the sales database.  Now, the most time the ETL job runs without any problems. But sometimes it fails because of query timeout. We have found out, that there is a specific pattern: The failure happens every 11th day. So on the 11th day the ETL job fails to collect information.   The following error occurs:     SQLNCLI11 for linked server “my linked server” returned message “Query timeout expired.”   Note: The job fails usually 10 minutes after start.  We have searched everything and could not found out what this issue causes. Also we know that the amount of data is every time, almost the same. Also there is no any scheduled job that runs all 11 days or something.  The remote query timeout on the linked server is set to 0.  Our next step will be, to turn off the antivirus programm on the sales server, to check if this causes the problem.  Does anyone have any clue or idea, where i can search further to find the problem? Downcasting in Java Upcasting is allowed in Java, however downcasting gives a compile error.   The compile error can be removed by adding a cast but would anyway break at the runtime.   In this case why Java allows downcasting if it cannot be executed at the runtime? Is there any practical use for this concept?   public class demo {   public static void main(String a[]) {       B b = (B) new A(); // compiles with the cast,                           // but runtime exception - java.lang.ClassCastException   } }  class A {   public void draw() {     System.out.println("1");   }    public void draw1() {     System.out.println("2");   } }  class B extends A {   public void draw() {     System.out.println("3");   }   public void draw2() {     System.out.println("4");   } } How to prevent mail from our website going into spam mail of users? I work for an educational services company based in India. We've around one million students enrolled as users. We're frequently facing the problem of our bulk mailers regarding upcoming exams, new product launches and promotions going into spam mail folders of the students. Is the problem in the headlines? Or where else? what can we do to reduce this number?   This is killing us, we cannot have an impossibly large precentage of mails not being opened..Please help. Time reversal symmetry and T^2 = -1