I've had this question for a while now and it's: How big is Ancalagon exactly? I mean, I've looked over thousands of explanations but it keeps on changing. So I'm asking now, how big exactly is this dragon?  I don't know if this is mentioned in The Silmarillion but I just wanted to see if there is an exact calculation.
Questions like  dealing with Ancalagon in particular, and Middle-earth's dragons in general, clearly show that Ancalagon was ridiculously, absurdly, unimaginably enormous.      The non-canonical image above shows one person's impression of how the different dragons of Middle-earth stacked up, with Smaug looking absolutely tiny at the far left, and Ancalagon on the right, too big to even fit in the picture.    Below, a presumably canonical picture, painted by Tolkien himself, shows Smaug in relation to Bilbo.  The rough measurements I took from this image suggest that Smaug is about 11 times longer than Bilbo is tall.  Depending on how tall Bilbo is - almost certainly somewhere between 3'6" and 4' tall - Smaug is approximately 38-44 feet long.      If the first picture is even vaguely accurate, Ancalagon would appear to be a minimum of something like 720 feet long from the tip of his nose to the end of his tail:  the visible portions of his head and body are at least 6 times longer than Smaug is from end to end, and we have to assume that the portion of his body that is out of frame is at least 3 times longer still, perhaps even 4 times or more (so the upper range of his length might exceed 1,000 feet).  Does Tolkien give us any way to estimate how big Ancalagon was?  It isn't his normal practice to describe things in great detail, I realize, but he often gives a few hints that allow for some rough approximation to be made.  Does anything he says suggest that the first image is anything like what he had in mind?  Note:  I haven't read anything about Ancalagon from Tolkien's own pen, except a few quotes on this site;  the most important bit of information I've gleaned is that he smashed 3 volcanoes to pieces when he died (or something like that).  How accurate is this, and what else did Tolkien say?    This question is not a duplicate of "", because none of the answers to that question address Ancalagon's size in any detail - except my own, which is based on what little information I was able to glean from the two pictures I included in this question.  All the other answers address how Ancalagon was killed, not how big he was.  I have no interest in how he died, only how big he was, or rather, what hints we can find that might give some indication of how big he was.  I wouldn't ask this question, linking that question in my own, if it contained the information I am interested in.    Note 2:  Regarding the relative sizes and impressiveness of Smaug and Ancalagon:  Imagine a meeting between Smaug and Ancalagon in Dragon Heaven: Smaug: "How'd you die?" Ancalagon: "A flying boat full of fire made by the Angels and driven by a Magic Elf smashed into me, so I fell onto a mountain and broke it, and I died. The Magic Elf lives in outer space now, and the boat turned into a star. How'd you die?" Smaug: "Um... Some dude shot me with an arrow."
Is Canon 60D still a decent camera? I have a Canon 60D, bought it back in 2013. Use it quite a while, but in past two-three years, I lost interest in photography. I will be going on a long trip this summer and would like to take a decent camera with me. Is Canon 60D still a decent one or I will be missing on features and upgrades comparing to the latest versions?  In terms of lenses I own Tamron 24-70 2.8 And Canon 100 2.8 Macro. Dynamically fill an Enum with a list I'm writting an addon with an UI. In my draw function in my UI class I've this   layout.prop(bpy.context.scene, 'activebone', text='active bone')   Wich create an enum in the UI.    And in my register class I've this:  bpy.types.Scene.activebone = bpy.props.EnumProperty(items=active_bone)   In my draw fonction I fill the active_bone list with the some data and but the enum don't refresh himself. I know that i can retype  bpy.types.Scene.activebone = bpy.props.EnumProperty(items=active_bone)   But the draw function is Read only so I can't. Is it possible to refresh my Enum item in the draw function or am I obliged to do it in an other class like a button? $\Bbb{Z}_{26} \rtimes_{\alpha} \Bbb{Z}_{5} \cong \Bbb{Z}_{26} \times \Bbb{Z}_{5}$ as groups. Are there alternatives to LibreOffice? How long can I run a water pump which requires 12V and 50W from a 12V, 40Ah, 400A car battery?  Can you explain how this was calculated? Asymptotic expansion of $u_{n + 1} = \frac12 \arctan(u_n)$ How do I change the location of macOS screen captures? As a developer, I take a lot of screen captures. I often take screen shots to share with Stack Exchange members in chat.  The problem is my Desktop is so cluttered with screen captures that they're now overlapping! I'd like to save all screenshots in a dedicated folder or directory.  In macOS, how do I change the default location where screen captures are saved?  These are the screen shots taken with CommandShift3 or CommandShift4 keyboard shortcuts.  I would prefer a solution which doesn't require installing any software. I have been thinking about the following formulation of the Axiom of Choice.:     For any relation $R$, there is a function $H$, which is a subset of $R$, and such that $\operatorname{dmn}H=\operatorname{dmn}R$.   At first, it seemed surprising to me that this did not follow from Comprehension (i.e., from the schema  $\forall x_1, x_2, ..., x_n \forall C\exists B \forall x ( x \in B \Leftrightarrow x \in C \land \phi )$, where $B$ does not occur free in $\phi$).    I thought that for any relation, it seems that we should be able to define a subset of it with the same domain meeting a "functional condition".  But when I tried to do this, I couldn't.  However, I felt like I was getting close when I let $B$ be free in $\phi$, i.e., when I let myself say that $w$ is in $R$ and also anything in $H$ meets such and such conditions, where $H$ is the set (function) whose existence I'm trying to prove.    But my understanding is that Choice does not even follow from Naive Comprehension.  So, I wondered if someone could explain the following precisely.   Why does the above formulation of Choice does not follow from regular Comprehension? Why does it not even follow from Naive Comprehension (assuming that it does not)? How to prove the positive definite property of the semidefinite matrix with regularization? If I have a positive semidefinite matrix $A_{n\times n}$, I want to transform it to positive definite matrix. I plug the following operation to the original matrix: $$B=A+\lambda I_{n}$$ where $\lambda &gt; 0$. I want to know whether B is positive definite matrix. Could anyone proof it? How to restrict users on changing their wallpapers? I don't want my users to change the system wallpaper. How do I the lock the wallpaper down? Update  Users are changing wallpaper by right clicking the picture and choosing set as wallpaper. How to restrict this behaviour?  Is it possible to remove Backgrounds Tab from Appearance Preferences? If yes how? I have written a small script to count number of occurrences of logs in a particular file. The following is my code:   #!/bin/sh count=1 while read line do     found=$( grep M $line )     OCCURENCE=$( grep M /log.txt)     if [ "$OCCURENCE" ]; then         echo $count")" $line &gt;&gt; filesave.txt     fi     count=$((count+1)) done &lt; log1.txt   but I am getting this error:  ./count.sh ./count.sh: syntax error at line 10: `found=$' unexpected Click to hide in the Hero content is not aligned correctly for the non joined communities The "Click to hide" icon in the hero content (welcoming message) for the non joined communities are not aligned correctly for most of the private beta and some other communities.  A few examples are:        Can the icon be aligned to the right hand side with correct padding? Is it possible to transform an armature into a curve? I have a tunnel that I want a camera to go through, and want to replace the armature with a curve so it moves exactly on that path. I'd like the camera to also rotate to follow the bends of the tunnel. Using cycles.   Appreciate it, the problem I'm having now is that the camera follows the path, but after each turn, kind of snaps back or bumps, like a recoil of sorts. I reduced the size of the turns, but it still happens. And within the graph editor I can't change the interpolation mode, it's all greyed out. The only reason it looks kind of decent is because the camera is set to 15mm. Any ideas? Background  Would like to center all tables within floats, without having to add \centering to each table.  Ideas  Tried the following:  \let\originaltabular\tabular \renewcommand\tabular{\centering\originaltabular}   It compiles, but the tables remain left-justified.  Question  How would you edit the Preamble of a LyX document to make all the floating tables be centred? A few years ago I saw a scifi movie about a group of travelers stranded at what I believe might have been a bus station (I don't remember that detail with any certainty).  There were 2 children (a boy and a girl) who were running around and everyone thought they belonged to someone else there.  As it turned out, the children were aliens that reverted to their true form and began hunting down the travelers.  I've been searching all over the internet but can't come up with the name of the movie.  Does anyone know the name of it? From :     "[...] the stress vector $T$ across a surface will always be a linear function of the surface's normal vector $n$, the unit-length vector that is perpendicular to it. [...] The linear relation between $T$ and $n$ follows from the fundamental laws of conservation of linear momentum and static equilibrium of forces, and is therefore mathematically exact, for any material and any stress situation. The components of the Cauchy stress tensor at every point in a material satisfy the equilibrium equations (Cauchy’s equations of motion for zero acceleration). Moreover, the principle of conservation of angular momentum implies that the stress tensor is symmetric."   What is the more detailed explanation for this, and/or where can I find it? Automatically put PGFPlots xtick scale label in x axis label I'm trying to put xtick scale label (defined by pgfkey /pgfplots/xtick scale label code/.code) in x axis label, between variable name and unit.  I've tried executing using the option xlabel = {$ x $ (\pgfkeysvalueof{/pgfplots/xtick scale label code/.code} m)} to put in but this doesn't work.  I've also tried the following xtick scale label code/.code={\pgfkeyssetvalue{/pgfplots/xlabel}{#1}} to force PGFPlots to change my xlabel but it doesn't work as well.  I know I can do this by hand, but I'm interested in automatic approach. Is there a workaround or a solution to this?  My MWE is:  \documentclass{article} \usepackage{pgfplots} \pgfplotsset{compat=1.14}  \begin{document}      \begin{tikzpicture}     \begin{axis}[         scaled x ticks=true,         scaled y ticks = false,         y tick label style={/pgf/number format/fixed},         %xtick scale label code/.code={\pgfkeyssetvalue{/pgfplots/xlabel}{#1}},         xlabel = {$ x $ (\pgfkeysvalueof{/pgfplots/xtick scale label code/.code} m)},         ylabel = {$ y $},     ]      \addplot[line width=3pt] coordinates {(0.0,0.0)(100,1)(400,2)(10000,0)};      \end{axis}     \end{tikzpicture}  \end{document}   Output from this code is: Series of sequence with terms over series. Prove or give a counterexample to disprove the following statement about series of real numbers:  If $a_k &gt; 0, s_k = a_1 + \cdots + a_k$ and $b_k = a_k/s_k$ then $\sum a_k$ and $\sum b_k$ either both converge or both diverge. How to vote on friends / colleagues ' questions (or answers) Almost every time a colleague of mine asks a question, we have discussed this problem beforehand. Also, we sometimes meta-discuss the question for stackoverflow (why did I get the &quot;this might be subjective&quot; warning, is this understandable enough, etc). This is less so with answers, but I could believe for some groups this works the same. For now I'll stick to questions, but you could s/question/answer if you like. The resulting question is almost always  Interesting for me, and a problem I don't know the answer to. I probably would favorite it According to me a valid and good question (as we talked about it beforehand) I would probably want to upvote it.  Now I believe to read that &quot;ring voting&quot; is a thing, and I tried to find some questions about this, but didn't find many. I did find and read this blogpost from 2008:  . It reads to me that upvoting 'fraud' is more commonplace then downvoting and it might seem anomalous that I would upvote almost all questions from one user. If all colleagues would do this to their team, you'd get some mediocre questions getting a lot of votes, and some users getting a lot of attention, points etc from that. If you would -as seems to be done -, sort the amount of upvotes for my colleague, you'd get me being 'anomalous' in front of the crowd. On the other hand, as explained above, I do want to upvote almost all stuff some of my colleagues put on here for (I believe) the right reasons: they are questions I consider good and interesting. It's just that I know of all their questions (as they tell me about them), which obviously isn't the case for a random user. So what is the deal?  When is upvoting content from one user frowned upon? Would my usecase be in danger of being a (what I consider 'false') positive for the fraud-detection? (and would you agree with that or not) How to prevent this false positive (if you agree with me it is one, otherwise this is a moot question) -&gt; As noted in the comments: I'm not looking for tricks, so an answer could be &quot;don't vote for your colleagues&quot;. I agree that there should be no to 'tricks' around that could be used for real fraud of course How do I read the manifest file for a webapp running in apache tomcat?