The dragon in LOTR is powerful.  Powerful things can exert lots of power The exertion of lots of power is useful for winning wars one wants to win Gandalf fights in wars he wants to win Gandalf is a more powerful thing than the dragon is. (Evidence: He slays it) So Gandalf can exert lots of power Gandalf does not exert lots of power in the wars he wants to win.    What gives?
We know that the Maiar sent to Middle-earth as Istari are not using their full Maiar power. Gandalf the Gray is more than a human power wise, but not nearly equal to his full real power.  Is it known (from canon) whether there is something explicitly restricting Olorin's power when he's Gandalf the Gray, or is he merely prohibited from using it but still has it at his disposal?  Question arose from  comment. Daniel was using Saruman having greater powers once he turned "bad" as his reasoning.
Where to download Flash Player for offline installation? I can't find Flash Player download link which will give me the full EXE/MSI file, not the tiny downloader which downloads data from the internet.  What's the proper download site for this? Application of inverse function theorem for several variable functions Let $f:\mathbb{R}^2\rightarrow \mathbb{R}^2$ be continuously differentiable, and assume $Df(x)$ is invertible for all $x\in \mathbb{R}^2$. Also for any compact $K$ in $\mathbb{R}^2$, $f^{-1}(K)$ is compact. prove $f$ is onto.  My Work:  This is an application of inverse function theorem because it satisfies the hypothesis of this thoerem. So $A=f(\mathbb{R}^2)$ is open in $\mathbb{R}^2$. So, $A^c$ is closed. Afterwards I was stuck. please give me a hint. The old "too localized" closing reason included "questions that are unlikely to help future visitors".   , that if a question resulted from a typo in the OP code those questions should be closed with "too localized" reason.  The current off-topic reason does not cover that.  Should these questions remain open now, as they do not really fall into any current closure category?  UPDATE  I marked  for diamond moderator attention to be deleted as Robert Harvey hinted below, only to get the flag declined as "declined - flags should only be used to make moderators aware of content that requires their intervention".  Can you confidently tell me that this is a useful question that helps the goal of SE? In the sentence: "Drinking and driving IS dangerous", why does the verb "to be" need to be singular? In the sentence: "Drinking and driving is dangerous". Drinking and driving are both subjects and the word dangerous is the object (I think) but why do I have to use the verb to be in singular? Origin of electric charge Baryons have charges that are the result of a polynomial calculation of their building blocks (quarks)'s fractional charges. But what gives these quarks electric charges? What interactions do they have with photons? And what about leptons, like muons and electrons? How do they get their -1 charge? And then, how do positrons and anti-muons get +1 charge? Same goes for quarks: how does up-antiquarks get -2/3 charge? Or I may want to formulate my question this way:  How does any elementary particle interact with the EM-Force to get an electric charge? How to reset Kali linux root password Does potential energy in gravitationall field increase mass? I have a Windows 7 64-bit installation on my current PC, and I want to move it to a new PC .. I do NOT have a problem with licensing, as the new system already has its own new Windows 7 license, which I intend to use.  I want to use my existing installation, because it has 3 years worth of installed office related software development software, which installing again could take weeks !  I'm assuming that I can use Windows 7's Backup and Restore feature to backup a system image to a network location, then restore that network stored system image on the new PC ?  Again, like I said, I don't have a WIndows 7 licensing issue, as both machines are corporate provided and come with their own licences. Roman numerals become “too wide” in table of contents Following minimal document:  \documentclass{report}  \begin{document} \renewcommand*\thechapter{\Roman{chapter}} \tableofcontents \setcounter{chapter}{6} % Problem starts at chapter 7 \chapter{Seven} \chapter{Eight} \section{Eight-one} \section{Eight-two} \end{document}   yields this output (cut to size for your convenience):    Clearly, the chapter (and section) headings hang into the chapter (section) numbers. For the previous chapter numbers, this isn’t a problem since all chapter titles are aligned to the same column and the numbers I–VI are sufficiently narrow.  (The same happens regardless of document type, I’m actually using scrreprt with the same result.)  How can I prevent this? Which pronoun to refer to "person"? It? He or She? They? "When he found his seat on the plane, Sam recognized the person who was sitting in the seat next to his. It? She? was a woman he knew."  Which is more common/natural? Isn't 'it' more correct – grammatically speaking – than 'she', since 'a person' can be a 'he' or a 'she', and obviously you cannot use the singular 'they' here? Let $R$ be a ring such that $x^4=x$ for every $x\in R$. Is this ring commutative? Some time ago, I baked a cake (Sachertorte to be exact). The taste and texture was fine, so my recipe is okay.  My biggest issue was the shape. In the middle it was really a lot higher than on the sides. I would like to redo it in the near future, but preferably with a flat(ter) surface. (Especially since I put icing on top and I don't want it to drip off this time.)  Anyone knows the cause of my problem, or even better a solution? I think I put enough butter on the side of my springform pan, in case this is an option. Badge overflow on users with too many badges When a user has &quot;too much&quot; reputation and &quot;too many&quot; badges, the design of the user card breaks:    The badge counters overflowing to another line. Can anything be done about this? For example, expanding the rep and badges to their own lines:  NameRepBadges Theoretically possible to run two operating systems simultaneously? A friend of mine asked a question that got me thinking. Is it possible (theoretically, I assume it hasn't been done) to run two operating systems simultaneously on the same computer? Not in the sense of multitasking in one window, but being able to quickly switch from one to the other without restarting. Could something low-level be created that would intercept system calls (or whatever needs to be done) to make each OS think it is running alone? Or hardware itself that would accomplish this?  I'm not talking about dual booting or using virtual machines, but actually running two OS's side-by-side. My 8 year old son won't fall asleep We put him to bed at 9pm and he stays up til 1am or later. When I go to check on him he is always playing with his hands and sometimes talking. I ask him why he is awake and not trying to sleep and he says it's because he just wants to play. He never comes to tell us that he is having a hard time sleeping or that there is anything wrong. The weird thing is that he used to be the first one to fall asleep out of 3 boys and the staying up started a few months ago. He does this every night and on top of keeping us awake, he is now waking up his brothers.   About a month or so ago, we decided to punish him by grounding him from video games. He doesn't want to be grounded, but he still keeps doing it. Nothing we do seems to be helping and it seems to be getting worse. I have talked to him about why it is so important to get enough sleep and why it's even more important for kids. He also gets plenty of exercise and time to play during the day.   I'm really starting to wonder if he is doing it just to be defiant. If anyone has any suggestions I would greatly appreciate it.  The problem is that he is being disruptive to everyone in the house and it has been EVERY night for the last 3 months.   He is tired and emotional during the day, and it is causing his brothers to be tired during the day while they are at school.   Because he is tired during the day he doesn't really want to be as active as he used to be. However, I do still encourage him to be active. We have always had a bedtime routine. We have asked him many different times if he is just having trouble sleeping, if he is uncomfortable, and if there is something wrong. He always tells us that he just wants to play.   At the beginning of all this he told me that he wants to be the one to decide when he goes to sleep and when he wakes up. Which is why I would even ask if it was out of defiance.   We really didn't want to get to the point of punishing him, but nothing else seemed to help and it was only after he started keeping his brothers awake.   It's not like we haven't asked him what he thinks would help or what would help him sleep better. He ALWAYS says that he just WANTS to stay up and play because it is fun. We know it is important for him to get enough sleep, and I'm worried because I don't think he is (and he's preventing the rest of us from getting enough, too). The Node Editor won't work for the object selected If $\lim_{x \to +\infty} f'(x) = L$, then $\lim_{x \to \infty} \frac {f(x)}{x} = L$ I'm trying to solve this question:     Let $f:[0,+\infty) \to \mathbb{R}$ be derivable and $\lim_{x \to +\infty} f'(x) = L$, then $\lim_{x\to \infty}\frac {f(x)}{x}=L$.   I'm trying to solve this question using l'Hôpital rule, but I couldn't use it, because I don't know if $\lim_{x\to +\infty} f(x)=+\infty$.  I need help.  Thanks a lot. Electrons have spin 1/2, and as they are charged, they also have an associated magnetic moment, which can be measured by an electron beam splitting up in an inhomogeneous magnetic field or through the interaction of the electrons's magnetic moment with an external magnetic field in spectroscopic measurements.   On the other hand, a photon is neutral - how can one measure its spin if there's no magnetic moment? How do we know it has spin 1? Is there a guideline about when to end expressions with semicolons? Comparing areas in scanned historical land use maps using QGIS?