The white walkers are a constantly-looming threat over Westeros, but in a worst-case scenario where the wall is breached and Westeros falls to the white walkers, would Essos be similarly doomed? Would the Narrow Sea protect Essos from the white walkers, or do they know how to build / pilot ships?
The whole multi-continent aspect of A Song of Ice and Fire seems to be getting out of hand. Do the other continents suffer those long winters?  Can the Others harm the other continents?  In The Lord of the Rings there were other realms than Middle-earth, but Middle-earth was still all of humanity and dwarf population and hobbits.  Sure there are stories like Romeo and Juliet where the only thing that matters is whether those 2 are going have a chance to love.  But in these fantasy / sci-fi stories there's usually danger of world domination by evil.  It's not usually just one continent is going to be a terrible (or impossible) place to live but other civilizations will flourish.
Also how do LEFT JOIN, RIGHT JOIN and FULL JOIN fit in? Google Chrome error: Error initializing NSS without a persistent database It was working properly before, suddenly it stopped working. When I tried to open by clicking on its icon, but nothing happens.  As already here are many questions related to this, but none of them are working for me. I already checked  and .  I uninstalled Chrome by following the instructions from .  sudo apt-get purge google-chrome-stable rm ~/.config/google-chrome/ -rf   Again I installed Chrome by:  sudo apt-get install google-chrome-stable   But the problem is still thesame.  When I enter google-chrome in terminal I get following error.  [12289:12323:0723/014456:ERROR:nss_util.cc(744)] Error initializing NSS with a persistent database (sql:/home/maddy/.pki/nssdb): libsoftokn3.so: cannot open shared object file: No such file or directory [12289:12323:0723/014456:ERROR:nss_util.cc(212)] Error initializing NSS without a persistent database: NSS error code: -5925 [12289:12323:0723/014456:FATAL:nss_util.cc(214)] nss_error=-5925, os_error=0 I know that any subset of V with more than k vectors is always linearly dependent, but how do I include matrix A into the vectors given to prove the statement?   Also, for part (b), does the statement mean that Ax=0 only has the trivial solution since V intersects span{u1, u2, ..., uk}={0}?  Any help would be appreciated! Thank you! Is every Lie subgroup of $SU(2)$ closed? How can I get the MAC and the IP address of a connected client in PHP? When should end punctuation go inside quotes? Python: Uniqueness for list of lists My computer does not store the history of the entries entered in RUN (WIN+R).   Thus, how to enable Windows to store the history? Could someone please provide an explanation for the origin of ? (Ideally someone who I have been speaking with on the h-bar)  Any advanced maths beyond basic calculus will most probably leave me at a loss, though I do not mind a challenge! Please assume little prior knowledge, as over the past few days I have discovered that much of my understanding surrounding the process as virtual particle pairs is completely wrong. Recover Data from Card that cannnot be read I am trying to help a friend who is very concerned that she has just lost all of the data on her 32GB SanDisk microSD card.  I told her I would post this and see if anyone could offer help.  Here are the details:   The SanDisk microSD card is less than two years old.  Probably only about a year old.  The store will take it back, but that doesn't really help.  She wants her data. She used the card in her Samsung Galaxy S4 smartphone for over a month.  The phone was never exposed to water or temperature extremes. Today, her phone suddenly said something like "Your SD card is blank or an unsupported format". Her phone was then unable to read the SanDisk microSD card at all.   Here's what she has tried:   Rebooting her phone.  Had no effect. Taking out the SanDisk microSD card and putting it inside a full-size SD card adapter, and inserting it into a Windows 7 SP1 computer.  The computer did not recognize its presence at all. Putting the SanDisk microSD card into a USB 2.0 external card reader and inserting the card reader into a USB port on a Windows 7 SP1 computer.  The computer recognized the card reader and installed drivers for it.  The card reader shows up as 'Removable Disk' in Windows Explorer.  Clicking on 'Removable Disk' in Windows Explorer results in the error "Insert disk: Please insert a disk into the Removable Disk". After trying #3, tried opening the 'Removable Disk' in FreeCommander.  Doing so results in the error "The device is not ready".   She does not have access to a linux box, but does have access to her Android phone.  What can she do to recover the data on her 32GB SanDisk microSD card? Distribution of a ratio of uniforms: What is wrong? Suppose that  $X$ and $Y$ are two i.i.d. uniform random variables on the interval $[0,1]$  Let $Z=X/Y$, I am finding the cdf of $Z$, i.e. $ \Pr(Z\leq z) $.  Now, I came up with two ways of doing this. One produces a correct answer consistent with the pdf here: , the other does not. Why is the second method wrong?  First Method  $\newcommand{\rd}{\mathrm{d}} \Pr(Z\leq z) = \Pr(X/Y\leq z) = \Pr(X\leq zY) = \int^{1}_{0}\int^{\min(1,zy)}_{0} \rd x \rd y = \int^{1}_{0}\min(1,zy)\ \rd y$ $  = \left\{      \begin{array}{lr}        \int^{1/z}_{0}zy\ \rd y + \int^{1}_{1/z} \rd y&amp; : z &gt; 1\\        \int^{1}_{0}zy\ \rd y &amp; : z \leq 1      \end{array}    \right. $ $  = \left\{      \begin{array}{lr}        1 - \frac{1}{2z} &amp; : z &gt; 1\\        \frac{z}{2} &amp; : z \leq 1      \end{array}    \right. $  This appears correct.  Second Method  $\Pr(X/Y\leq z) = \Pr(X \leq zY\ |\ zY \geq 1)\Pr(zY \geq 1) + \Pr(X \leq zY\ |\ zY &lt; 1)\Pr(zY &lt; 1) $ by total probability  $ = \Pr(X \leq zY\ |\ zY \geq 1)\Pr(Y \geq 1/z) + \Pr(X \leq zY\ |\ zY &lt; 1)\Pr(Y &lt; 1/z)$  Taking $z&gt;1$ yields $ (1)(1-\frac{1}{z}) + (\int^{1/z}_{0}\int^{zy}_{0} \rd x \rd y)(\frac{1}{z}) = 1-\frac{1}{z} + (\int^{1/z}_{0}zy\ \rd y)(\frac{1}{z}) = 1-\frac{1}{z} + \frac{1}{2z^{2}}$  This is already different. Why is this wrong?  Thanks! I have configured my MySQL Database to require passwords on all users, even root from the machine itself.  Now I discovered that there are empty Users in my Database  Reproduce: mysql -u root -p and then use mysql; &amp; select * from user;  It gives me 2 entries, one with "localhost" and user &lt;empty&gt; and one with the machine's hostname and &lt;empty&gt;.  Now I tried to access the account with mysql -u ' ' (yes it's correct, leave a space between the ' things) and I log in without a password. The user can "only" see information_schema and test, the two databases created by default. He does not has access to mysql or any other custom created databases.  I already changed the Password of this user to something I won't tell you  mysql -u root -p use mysql; UPDATE mysql.user SET Password=PASSWORD('thisisasecretpassword') WHERE USER='root'; FLUSH PRIVILEGES;   Now my Questions:   Is any MySQL Server vulnerable for an attack with this entry? Could an attacker break out of this account or the two default databases? Should I password-protect those Users or can I delete them? Are They required for some MySQL-internal things? Downgrading MacBook Pro 16” to Mojave Did anyone succeed in installing Mojave on the MacBook Pro 16”? It ships with Catalina but my corporate requires Mojave to connect to the corporate network.  I  but once I select booting from the Mojave external drive I get a “forbidden” icon and the system shuts down. Let's suppose I'm a wizard casting a ranged spell. An enemy is behind cover but I suspect he'll come out, so I ready an action to cast at him when he comes out; but I don't want to risk getting charged at by another enemy and losing concentration or taking disadvantage. Can I say:  "I ready a spell. When that guy over there leaves cover, or when any enemy gets within 5 feet of me, I will cast it on that enemy"? Is there a geometrical method to prove $x<\frac{\sin x +\tan x}{2}$? Suppose $x \in (0,\frac{\pi}{2})$ and we want to prove $$x&lt;\frac{\sin x +\tan x}{2}$$I tried to prove it by taking $f(x)=\sin x+ \tan x -2x$ and show $f(x) &gt;0 ,when\space  x \in (0,\frac{\pi}{2})$ take f'$$f'=\cos x +1+\tan ^2 x-2\\=\tan^2 x-(1-\cos x)\\=\tan ^2 x-2sin^2(\frac x2)$$ I get stuck here ,because the last line need to be proved $\tan ^2 x&gt;2sin^2(\frac x2) ,when\space  x \in (0,\frac{\pi}{2})$ $\bf{Question}:$ Is there a geometrical method to prove the first inequality ? (or other idea)  Thanks in advance.    $\bf{Remark}: $I can see the function is increasing $when\space  x \in (0,\frac{\pi}{2})$ like below : Proving Geometric Hahn-Banach Implies Analytic Hahn-Banach I've come across a proof online of the H.B theorem using the goemetric version.   There is a step in the proof which im not sure why is true and it is as follows:   Let $X$ be a linear space and $M \subset X \times \Bbb R$ be a maximal subspace.  Then $M = G(F)$ for $F :X \to \Bbb R$ linear.   Someone can show me why this is true?   Maybe I misunderstood the proof, its the last paragraph of Matrin's answer here -.   Thanks a lot for helping! Application launchers in '/usr/share/applications' not working in Nautilus breaking of output into new lines Mountain Bike on Paved Roads I'm an occasional biker. I bought a mountain bike (nothing fancy) with the idea that I might use it off-road or on mountain trails (of which there are many here in Calgary). However, since I've bought it I've done nothing but bike in the city on streets and paved bike trails.  Is there anything worth doing to my bike to convert it to something more suited to urban biking? In particular, the tires have me wondering; they have large rubber off-roading lugs that surely aren't doing me any favors on pavement. I'm not looking to spend a tons of money on a retrofit, but will do so if its worthwhile. hyperref: how to format text in a forms text-field I would like to pre-format the text in a form text-field, e.g. make it bold, italic or use a specific font. The following code generates a simple text-field:  \documentclass{scrreprt} \usepackage{hyperref} \begin{document} \textbf{The Text Field} \begin{Form} \TextField[]{\ } \end{Form} \end{document}   Is it possible to pre-format the text in the text-field? The hyperref package manual (10/2011) speaks of an optional parameter format and the use of JavaScript to format the field. Can this be used to format the text in the field? And if yes, how is it done? (I am not proficient in JavaScript)