Prove that $E^{\circ}$ is always open
Proving set of interiors is open
Decoupling capacitors: what size and how many? For example:  javac Foo.java Note: Foo.java uses unchecked or unsafe operations. Note: Recompile with -Xlint:unchecked for details. List files sorted by the number of lines they contain I have a couple of big text files and in the file UNIQS.txt I have a list of strings to grep from another file. The code I use is  grep -f UNIQS.txt EEP_VSL.uniqs.sam &gt; UNIQ_templates.sam   which does nothing - the file generated is empty. But when I do  grep -F -f UNIQS.txt EEP_VSL.uniqs.sam &gt; UNIQ_templates.sam   it works correctly. This confuses me because I didn't think grep would interpret the entries in UNIQS.txt as regexp patterns without quotes and slashes and so on being in the file (which there aren't). Is it the case in general that if you are getting the patterns from a file then it will automatically think that they are regexp patterns?  Edit: In the UNIQS.txt file, there are newline separated strings of the form  HWI-ST365:215:D0GH0ACXX:2:1101:10034:186783   (called template names) and the file EEP_VSL... tab separated columns, with about 14 columns and the first column is the template name, so basically I want to extract the line corresponding to each template in the file. Flattening iterator Why don't Death Eaters always use Avada Kedavra? When the Death Eaters attacked Hogwarts, why did the Death Eaters not just use Avada Kedavra and kill everyone? Short-lived sci-fi series with a former astronaut turned superhero (or maybe a police officer?) using his spacesuit for his "powers" Plot Details/Summary I only watched an episode or two of this one, so I can't recall a whole lot about it.  The protagonist is a former astronaut of some sort, who makes it his mission to clean up the crime in his city.  He might have been a police officer in his &quot;new life&quot; or he might have decided to become a sort of quasi-superhero.  In either case, I distinctly recall his space suit being the gimmick that makes him an effective crime fighter in the show.  I seem to recall the protagonist being a young, dark-haired man, and I think he had a friendship or an alliance with a young woman (maybe a fellow cop, or someone from the space program?).  I don't think there were alien beings in the show.   The criminal threats were all quite terrestrial, IIRC. Timeframe and other Publication Details This was a syndicated tv show I saw on American television, probably around the late 90s to early 2000's.  I believe the show was filmed in Canada, though I'm not certain.  I don't think it lasted very long - it was pretty dreadful.  I can say for certain the show is not Space Cop or Gerry Anderson's Space Precinct. Strip whitespace from jsp output How can I strip out extra whitespace from jsp pages' output?  Is there a switch I can flip on my web.xml?  Is there a Tomcat specific setting? no cycles if and only if has $n-m$ connected components How to solve this ode $xy''-(1+x)y'+y=x^2$? Book: World covered in trees that are miles high What does the notation like 8.6e-28 mean? What is the 'e' for? I have a problem with the interpretation of a test result in which the p-value is 8.6e-28. How should it be interpreted? What is the e for?  Specifically, I used White's Test for the homoscedasticity assumption of a linear regression:  White's general test statistic :  150.0535  Chi-sq( 9)  P-value =  8.6e-28 How to embed a view in a specific node? I try to embed a view in a specific node. I found tutorials for doing this with Drupal 7 and PHP-Templates:  &lt;?php print views_embed_view('view_name'); ?&gt;   But I look for a way in Drupal 8 with twig-Templates. I tried to call the views_embed_view() function in the hook_node_view() and assign it to the node so that I can print it out in the twig-Template. But it seems that this hook never gets called.  Any hints/solutions how to do this in the Drupal 8 way? Is it possible for a foreigner to drive through (mainland) China in a foreign-registered car? Is it possible to drive through mainland China, for example for transit from Kazakhstan to Vietnam, as a non-Chinese citizen, in an own car/van/truck?  This is about an European Union citizen, trying to make a tourist trip overland by car from the EU to Vietnam. This is about a special (equipped with sleeping, cooking and other facilities) vehicle, that the owner intends to keep and use in Vietnam, so buying/renting a vehicle inside China and selling it before leaving is not an option - the question is about driving a specific vehicle the owner already has in the EU to Vietnam. getting new licence plates is OK, as long as it is allowed to put back the old ones when the vehicle gets back to the EU.  What legal issues are there with getting in an own car over China, and how to overcome them?  Is it possible to drive a car with EU licence plates through China, or would one have to get something like temporary Chinese plates? Is an EU driving licence valid? Are there any customs issues one has to know about, and how long one can keep a foreign motor vehicle in China without having to pay import taxes on it? I'd like to declare some new operators using \DeclareMathOperator and some of the names are already taken by other commands (that I do not want to use). Is there an equivalent to the \renewcommand command for \DeclareMathOperator or a different way to overwrite the commands using \DeclareMathOperator? Can a sequence which decays more slowly still yield a converging series? In Bergman's companion notes to Rudin, he says that "If a sequence of positive terms has convergent sum, so does every sequence of positive terms which decays more rapidly." So given a sequence $\{a_n\}$ of positive terms such that $\sum_n a_n$ converges, if $\{b_n\}$ is such that $$ \lim_{n\to\infty} \frac{a_n}{b_n} = +\infty, $$ then $\sum_nb_n$ converges. I can prove this given $\{a_n\}$ and $\{b_n\}$. However, can we find $b_n$ which decays more slowly, i.e. $$ \lim_{n\to\infty} \frac{b_n}{a_n} = +\infty $$ such that $\sum_n b_n$ converges?  Similarly, we have the claim "if a sequence of positive terms has divergent sum, then so does every sequence of positive terms which decays more slowly." Where should I copy-paste-install software to? I'm installing IntelliJ, and the readme tells me to choose an installation folder. Where is a good, standard place to put installed programs? What is the definition and purpose of a pre-amplifier? I find in many places mentions of pre-amplifiers being used to boost audio signals prior to feeding to a power amplifier.  Wikipedia's article on  gives some hints at their usage, but it doesn't really explain why it would be necessary to have two amplifiers in series rather than a single one with greater gain.  If a pre-amp is just a power amp with a smaller gain, what's the point, and why the distinction between the two kinds? Is the distinction in function, or simply purpose? How to automatically restart a linux background process if it fails? Blender is rendering an older version my project