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For what powers $k$ is the polynomial $n^k-1$ divisible by $(n-1)^2$? How do you prove this?  $$\left(n-1\right)^2\mid\left(n^k-1\right)\Longleftrightarrow\left(n-1\right)\mid k$$ What is relationship of widower to late wife's family (i.e. in-laws)? I am a widower.  I still have a strong personal relationship with my late wife's family, and I regard them as part of my own family.  They are blood of my blood in the sense that my children are related by blood to both me and them,  but if we had not had children, that link would not exist.    My only direct relation to them was by marriage, and with my wife's death, it would seem that that bond no longer exists; at least not formally.     Is there any enduring relationship by law or tradition for ex relations by marriage, and what would it be called?   Also, what if instead of death, we had been separated by divorce?    And what if I were to remarry,  would that change my relationship to my first in-laws? How do I extract all the external links of a web page and save them to a file? How do I extract all the external links of a web page and save them to a file?  If you have any command line tools that would be great. Texture Channel animated, doesn't appear in viewport I'm creating an educational video, and for efficiency, I'm using a Cyclic repeater to repeat an on-page/off-page effect.  Every loop, I have the texture channel switch to the next image, rather than duplicating all the objects/animations. This works properly and appears when rendering the animation, but does not appear in the viewport. It sticks to the original UV image that was mapped.  Is there a way to have this change appear in the viewport? Intuitively it's easy, but hard to prove by the epsilon-delta method:  $$ \lim_{n \to \infty} n x^{n} = 0$$ Running junit tests in parallel in a Maven build? I'm using JUnit 4.4 and Maven and I have a large number of long-running integration tests.  When it comes to parallelizing test suites there are a few solutions that allow me to run each test method in a single test-class in parallel. But all of these require that I change the tests in one way or another.  I really think it would be a much cleaner solution to run X different test classes in X threads in parallel. I have hundreds of tests so I don't really care about threading individual test-classes.  Is there any way to do this? Password protecting a page I'm trying to password protect a page but it doesn't seem to be working. I've set the password for the page but when you navigate to it it just loads up like normal and doesn't ask for any passwords.  This is the loop I have on my page:  &lt;?php /**  * @package WordPress  * @subpackage Default_Theme  * Template Name: Page  */  get_header(); ?&gt;  &lt;?php global $post; if ( post_password_required( $post ) ) { ?&gt;  &lt;?php $fields = get_acf(); ?&gt;  &lt;script type="text/javascript"&gt;  (function() {   window.onload = function() {   ...  }} )  &lt;/script&gt;  &lt;div id="map"&gt;&lt;/div&gt;  &lt;?php } else { ?&gt;     Not passworded        &lt;?php if (have_posts()) : ?&gt;         &lt;?php while (have_posts()) : the_post(); ?&gt;          &lt;?php endwhile; ?&gt;     &lt;?php endif; ?&gt;         &lt;?      } // Page isn't password-protected     ?&gt; &lt;?php get_footer(); ?&gt;   I want to password protect everything within the page.  UPDATE:  I have custom content on the page so if possible I need to be able to wrap some code around it all.  Update: Comaximal ideals in a commutative ring Dynamically Adding/Removing CSS in Nested Div I have read in a book that the limit of the ratio of consequent Fibonacci numbers is the golden ratio. However, it was just mentioned thus not justified. So, my question is how would you derive the following limit: $$\lim_{x\to\infty}{\frac{F_n}{F_{n+1}}}=?$$ Where $F_n$ is the nth Fibonacci number? Let $\left| {{a_{ii}}} \right| > \sum\limits_{i \ne j} {\left| {{a_{ij}}} \right|} $.Why does $A$ is nonsingular? . When I ping I have this display:  &gt; ping -i 4 www.google.fr  64 bytes from wi-in-f94.1e100.net (173.194.67.94): icmp_seq=503 ttl=46 time=45.5 ms ....... ....... 64 bytes from wi-in-f94.1e100.net (173.194.67.94): icmp_seq=508 ttl=46 time=44.9 ms 64 bytes from wi-in-f94.1e100.net (173.194.67.94): icmp_seq=509 ttl=46 time=45.1 ms   I'd like to have the time of the ping before.   Something like:  &gt; (right functions) + ping -i 7 www.google.fr  mardi 15 mai 2012, 10:29:06 (UTC+0200) - 64 bytes from wi-in-f94.1e100.net (173.194.67.94): icmp_seq=503 ttl=46 time=45.5 ms ....... ....... mardi 15 mai 2012, 10:29:13 (UTC+0200) - 64 bytes from wi-in-f94.1e100.net (173.194.67.94): icmp_seq=508 ttl=46 time=44.9 ms mardi 15 mai 2012, 10:29:20 (UTC+0200) - 64 bytes from wi-in-f94.1e100.net (173.194.67.94): icmp_seq=509 ttl=46 time=45.1 ms   How would you do this in a command line (if it's possible)? What's the difference between "these" and "those"? First of all, I'm not a native English speaker, but in school I learned that these is used if referring to something near, and those is used when referring to something far away (temporally or locally). But now I'm sometimes watching English movies and notice sentences like "Have you seen those boots?" while the boots were only centimeters away. Is this just not correct, or have I learned the wrong rules?  Another question is, what if I'm referring to something abstract such as ideas or thoughts so that I can't say if they are far away or not. Should I use those or these?  Edit  So it can't be really wrong in any case if I use these respectively those? I know there are many ways to prevent image caching (such as via META tags), as well as a few nice tricks to ensure that the current version of an image is shown with every page load (such as image.jpg?x=timestamp), but is there any way to actually clear or replace an image in the browsers cache so that neither of the methods above are necessary?  As an example, lets say there are 100 images on a page and that these images are named "01.jpg", "02.jpg", "03.jpg", etc. If image "42.jpg" is replaced, is there any way to replace it in the cache so that "42.jpg" will automatically display the new image on successive page loads? I can't use the META tag method, because I need everuthing that ISN"T replaced to remain cached, and I can't use the timestamp method, because I don't want ALL of the images to be reloaded every time the page loads.  I've racked my brain and scoured the Internet for a way to do this (preferrably via javascript), but no luck. Any suggestions? Reviewer Stats showing wrong count I have totally reviewed 716 suggested edits, but it shows I've approved 486 suggestions and rejected 228.     I searched about it on meta. But, can't get solution. I thought that some of my reviewed posts might get deleted. So, I went to the review history and found      .   It should be a bug. When I have equations, as in  \begin{equation} ... \end{equation}   Can I arbitrarily assign the numbers to the equations? Instead of the usual order (1), (2), (3), ..., I'd like something like (1), (2.1), (2.2), (2.3), (3.1), (3.2), (4), ... I know how to draw different shapes using tikz, like this:  \documentclass{minimal} \usepackage{tikz} \begin{document}  \begin{tikzpicture} \draw (0,0) ellipse (1 and 1.5)       (0,2.5) circle (1)       (2.5,0) circle (1.5); \end{tikzpicture}  \end{document}     However, I would like to put a number of different shapes together inside a node, and I couldn't yet find a simple way to do that. I will make a little figure to include in a large diagram which is already made of several nodes.  If this is not possible, or not easy, then how do I include a JPG or EPS file in a node?  Thank you! My windows directory is huge I have always had problems with my windows directory's growing to a huge size.  It started with windows 95 then 98 then 2000 and xp.  Windows 7 however is absolutely huge.  The windows folder itself with out program files is 21.4 gigs...add the program files and other windows files and it is a whopping 32 gigs.  My question is why is it so large and what can I do about it.  At the rate this is going I will be out of space in now time. Is $\sin^2(z) + \cos^2(z)=1$ still true for $z \in \Bbb{C}$? Is $$\sin^2(z) + \cos^2(z)=1$$ still true for all $z \in \Bbb{C}$? I've tried rewriting it using complex definitions of $\sin$ and $\cos$, and I don't see why it wouldn't, but the text I'm reading asks this question as if it shouldn't hold? In both the movies and comics Cap gains his peak human strength via the supersoldier serum and a does of vita rays, resulting in the rapid development of his super buff body:     While the most obvious real world analogue would be the use of steroids, these would still require that the person taking them train extensively and significantly increase their protein intake in order to gain muscle mass. While there are frequent scenes of Steve training in both mediums I've yet to see any scenes of him eating a 12-egg omelette or downing protein shakes. Are there any in-world explanations that would account for the increased muscle mass? Extra-dimensional energy conversion?