Show that every subgroup of $ ( \Bbb{R} ,+)$ is cyclic or dense
Characterizing Dense Subgroups of the Reals
I have the bike, I have the best route; but now I want to know, how do I transport my clothing in each day? I typically wear suit pants and a business shirt, but not a suit jacket.   Am I better off leaving my clothes at work, or is there a special bag that would let me carry in shirt/pants without them getting crushed? Why don't we define "imaginary" numbers for every "impossibility"? Why *not* parse `ls` (and what to do instead)? Comparing two integers without any comparison Is it possible to find the greatest of two integers without any comparison? I found some  solutions:   if(!(a/b)) // if a is less than b then division result will be zero. {     cout &lt;&lt; " b is greater than a"; } else if (!(a-b)) // we know a is greater than or equal to b now.  check whether they are equal. {     cout &lt;&lt; "a and b are equal"; } else     cout &lt;&lt; "a is greater than b";   But if(c) or if(!c) is a comparison to zero. In addition it doesn't work for negative numbers. In fact I need a solution that avoids any if statement. Instead I should use switch statements and arithmetic operators. ThanX. What is the penalty for dual US citizens who lie on the ESTA form in order to enter under VWP using their second passport? I found this very amusing comic on the internet the other day:   The last frame seems to claim that the harmonic series converges if you throw out all the terms with a $9$ in the denominator. Is this true? Where could I find a proof? Is it only true for terms with a $9$ or is it true for any number? If it's only true for $9$, why is that? I have the loop tools addon enabled and when I click the circle button with these verts selected, it just disappears. Why is that?  You can see the selected options in the bottom screenshot. It is worth noting that all the verts are flat on the x plane. Locking in X or not does not change the effect.   When I use the to sphere operator it squishes the verts on Z and stretches super wide on Y, not making a cirlce.    EDIT:  here is the blend Novel about a man who has his car stolen and is cryogenically frozen with his cat? So this is a bit of a memory game of my behalf, but I'm trying to remember the name of a (presumably) Sci-Fi novel with only a recollection of the following:   A man owns a (yellow?) car parked outside his house along with a cat The car goes missing or is stolen The man decides to be cryogenically frozen for 75 (fairly sure, could be 50?) years along with his cat (I might be muddling up novels but I'm sure there was a cat...?) He takes a walk along the street X years in the future when he wakes up and the currency he has in his pocket is now worthless   I don't think I got that far into the book and all the above happened relatively early.  I read it about 10 years ago and at a guess, it's an 80's novel - all of the above details might be inaccurate, but I'm certain about the cryogenic freezing and the currency aspects.  I'd be surprised if this one gets anywhere! What can I do to manage my phone's internal storage? If you're not used to seeing the 'low on internal storage' notification, what is it that you're doing to keep your phone's internal memory from filling up so quickly?   The 'SD Card and Phone Storage' menu in the settings doesn't really tell me much other than how much is free. And, I don't really have that many applications installed. The top 5 storage hogging apps on my phone are Gmail (18.6 MB), Twitter (17.5 MB), Facebook (12.55 MB), Maps (9.63 MB), and Swype (6.06 MB).  So, are there apps out there (besides your normal file manager ones, like Astro) that will help monitor internal phone storage? Is there something I should be doing to keep my phone storage use to a minimum? General term of Taylor Series of $\sin x$ centered at $\pi/4$ Why is the Star Trek 2009 reboot called a reboot? Doctor Who (2005) isn't called a reboot. It is called a continuation of the old series. This was made possible by that regeneration ju-ju and stuff.  On the other hand, Star Trek 2009 reincarnation is often called a reboot. Nobody dared call it continuation. I don't think I need to do citation because it's common.  Now, if we actually go into the details:   The new universe contains two Spock. One is from the original timeline. The Spock Prime even gives data from the original timeline like trans-warp equation, Khan etc. We see other past data from before the timeline diverged. For example, Scott told that he transwarped Admiral Archer's dog. "Archer's dog" existed in Star Trek: Enterprise TV series.   So, why didn't the legacy survive in-universe? Why isn't it considered a continuation of the old Star Trek TV shows and movies?  Or, is the reboot word used by mistaken fans and media only?  Update: After the release of Star Trek: Beyond (2016), this is no longer a confusion as the movie showed a photo from original timeline. Is it possible to do a multiline pattern match using sed, awk or grep? Take for example, I would like to get all the lines between { and }  So it should be able to match    1. {}  2. {.....}  3. {.....      .....}  Initially the question used &lt;p&gt; as an example. Edited the question to use { and}. Google search results showing up a URL on its search which doesn't exist on the website I am using a keyword to display a website page on google search. After entering the keyword, on the first page of google, I am redirected to a page, whose domain is exactly similar to the website whose page I want to display, but it is showing a page which doesn't even exist on the domain. Also, as similar domain with spam characteristics is also getting displayed.   To practically demonstrate this issue, do follow the below steps.   Go to  Type dolce streichquartett and click on search. The 4th/5th URL has this link http://www.dolce-streichquartett.de/?high_ry=/casinos/de/spielautomaten-casino-bregenz.php, which is no where on the website and looks like spam The 7th/8th link you see is http://deonlinecasino.org/doc/kostenlos-roulette-spielen-spielgeld-ausdrucken.php, which is exactly similar to the above with the title as the keyword but a different domain.   What is this issue and why is this happening? Not sure if there is a cultural difference. In our family it is considered normal to frighten the child so that he behaves the way we want.  Example- Parent: Eat that quickly or the God will punish you! Parent: Don't go on the stairs. The ghost is hiding there and it'll catch you! Parent: Be quiet or the police will grab you!  Does this kind of behavior from the parent's side has any abnormal effects on the baby in the longer run? Can this behavior be accepted as normal?  Has any research been done on this aspect? Solving $4x = e^x$ without graphing and looking for intersection Finding an old flight number How can I find an old flight number from over three years ago? I am trying to make a claim for a delay of over five hours. They sent us to the wrong destination and lost our luggage. Get content from a url using php I've encountered different usages of preposition + Home and I want to learn which of them are correct.  Some examples:     Back home   Back at home   Back to home Can less be used without any comparison? Can I use &quot;less&quot; in sentences like this:  1 Why do we have so less number of students for this class? 2 My song collection is very less.  &quot;Small&quot; sounds better in both examples, but I would like to know if using &quot;less&quot; in these sentences is correct? Is it possible to password protect a zip file created by Windows itself (without external tools?)