Find a polynomial in $\mathbb Q[x]$ such that $2^{1/2} + 3^{1/3}$ is a root
Proving $\sqrt{2}+\sqrt[3]{3}$ is algebraic.
Is there offside when the ball deflects off an opponent? I was refereeing a 10 year old's junior game today and this situation happened. The home team's defender attempted to  pass from their own half to their forward who was in an offside position beyond the halfway line.  I was going to blow the whistle but the ball deflected off an away defender and then went to the originally offside attacker who put the ball wide.  I viewed this as onside at the time because the ball struck the away team player, however now I think it was offside because at the time of pass, the home player was offside.  Is this offside or not? When to use RSA and when ElGamal asymmetric encryption Increasing extent of Raster? Drawing visibility polygons in Unity (for vision cones with occlusion) I'm currently trying to create an effect like the one displayed below in Unity:    However, it seems that I can't do this with any of Unity's built-in light objects, and I simply cannot find anything online that talks about this. Is there a way to achieve this in Unity? 2D or 3D solutions are fine, as I'm sure that they're both very similar to each other, How to properly unwrap my mesh? Is there a way to automatically unwrap my character? If not, is there a tutorial or something? Is password confirmation necessary on a Change Password dialog? On one hand there is no need to ask for password confirmation because it is annoying. If I made a mistake when confirming my password I'll need retype my very complex password again. There is also a button that can show/hide the password so I don't need retype it in order to confirm it.   However, some users don't use the password show/hide button and the 'forgotten password' option will be pain for them.  Twitter removed the password confirmation from registration but left the dual confirmation in place for changing password. Is this right approach? Finder: keep sort-by per-directory I know that the emergency services can be called FREE in the UK by dialing 999 and in the US by dialing 911.   What I don't know is the number to call in other countries and if there is a cost involved. This is something I think most people should find out before travelling but many don't (including me). Hopefully this will help me and other people. $(xy + 1)(yz + 1)(zx + 1) $ is a perfect square if and only if each factor is How many times can I repeat a keyword without looking spammy to Google? I have an eCommerce based on Opencart, but I have some doubts about how many times I can repeat the same word.  For example, the keyword is present in the title, description, h1, h2 and is repeated several times in the text:   Page Title: Shop Iphone other keyword Page description: Shop Iphone other keyword   (and they continue appearing below)   H1: Shop Iphone other keyword H2: Shop Iphone other keyword 10 more times in the text: Shop iPhone   I mean, if Googlebot sees the same WORD 30 times, can it be considered SPAM? Can I lose something or can I use keywords a lot?  In WOORANK I saw my review and I noticed that I need to improve my keywords, and a lot. I have some keywords like: payment, description, promotion, sales... keywords really "empty"  [ UPDATE ]  Can repeating keywords make them lose importance? Understanding NSString comparison I am interested in determining the ages of all 70+ my servers. I would like to create a growth graph showing when servers and databases were added to the environment either/both monthly or annually. I executed the following query using the SSMS multi-query feature with only partial success.  SELECT [name], create_date FROM sys.databases   It's partial success because the master and model databases return with a date of 'April 8, 2003' when I know that I created some of these servers during the past couple years.  I refresh databases from one server to another several times a week, which appears to be causing issues with the database create date.   Is there a simple method to determine the actual create date for both servers and databases? Real Analysis, Folland Problem 1.3.15 Measures Given a measure $\mu$ on $(X,M)$, define $\mu_0$ on $M$ by $$\mu_0(E) = \sup\{\mu(F): F\subset E \ \text{and} \ \mu(F) &lt; \infty\}$$ a.) $\mu_0$ is a semifinite measure. It is called the semifinite part of $\mu$. b.) If $\mu$ is semifinite, then $\mu = \mu_0$ (Use Exercise 14) c.) There is a measure $\nu$ on $M$ (in general, not unique) which assumes only the values of $0$ and $\infty$ such that $\mu = \mu_0 + \nu$.  The proof of Exercise 14 can be found  For a.) I believe we need to show that $\mu_0(E) = \infty$. Perhaps we can do this by proof of contradiction, similarly to what the proof in the link above does (actually it seems identical). For b.) I am not sure how we can show $\mu = \mu_0$ I think maybe we have to show by construction that $\mu \leq \mu_0$ and $\mu \geq \mu_0$ For c.) I haven't any idea for. Any suggestions is greatly appreciated. What is spin as it relates to subatomic particles? I often hear about subatomic particles having a property called "spin" but also that it doesn't actually relate to spinning about an axis like you would think. Which particles have spin? What does spin mean if not an actual spinning motion? How to control internet access for each program? I would like to use a software to control which program may connect to the internet. I know that this behaviour is associated with the word "firewall", but some Linux users are very upset if somebody demands a Personal Firewall. I don't want to upset you by demand such a program. I don't want to "secure ports" or other stuff a Personal Firewall promises on Windows. I looked into iptables but it does not fit my requirements.  I saw an excellent answer here () but it's very uncomfortable to set this up.  Is there a software that asks for each program if it may access the internet? The old advice used to be to double-quote any expression involving a $VARIABLE, at least if one wanted it to be interpreted by the shell as one single item, otherwise, any spaces in the content of $VARIABLE would throw off the shell.  I understand, however, that in more recent versions of shells, double-quoting is no longer always needed (at least for the purpose described above).  For instance, in bash:  % FOO='bar baz' % [ $FOO = 'bar baz' ] &amp;&amp; echo OK bash: [: too many arguments % [[ $FOO = 'bar baz' ]] &amp;&amp; echo OK OK % touch 'bar baz' % ls $FOO ls: cannot access bar: No such file or directory ls: cannot access baz: No such file or directory   In zsh, on the other hand, the same three commands succeed.  Therefore, based on this experiment, it seems that, in bash, one can omit the double quotes inside [[ ... ]], but not inside [ ... ] nor in command-line arguments, whereas, in zsh, the double quotes may be omitted in all these cases.  But inferring general rules from anecdotal examples like the above is a chancy proposition.  It would be nice to see a summary of when double-quoting is necessary.  I'm primarily interested in zsh, bash, and /bin/sh. What to do when witches appear early in the game? A long time ago I played an older version of Minecraft. Back then witches didn't spawn naturally, so you couldn't find them unless you found a hut. Now I'm playing again, but sometimes when I go down a cave I find one or two witches, and it's really hard to find them back.   So, what is the best you can do to kill witches, specially when two spawn at the same time and you don't have milk? ASCII art generator Even though a question may be closed by receiving 5 close votes, the votes do not necessarily need to agree.  I think this is a good behavior, but  (which it was) and found the question was closed as "not a real question".  This is unfortunate, while I'm happy to display my username and acknowledge that I voted to close, I'd like some additional transparency.  That is, if it was a 4-1 vote for "not a real question" vs "exact duplicate" I'd be interested in seeing that level of information.  The point is to be transparent about why the question was closed, and though 5 users may agree the question needs to be closed they may not agree why.  It's important to recognize all the reasons for closure, not just the majority reason.  I'd suggest displaying this information as something like:     closed on Jun 21 at 4:26 as:         not a real question by foo, bar, baz   exact duplicate by alice, bob      Once a question has been closed I'd argue it's more important to understand the rationale than it is to worry about an extra 2 lines of text. If the votes are 2,1,1,1 perhaps keep just 2 bullets, the first showing the majority vote, the second saying "for other reasons" as a summary of the change.  The point is to aggregate the summary by reason. What happens if a person can't die of a heart attack?