How to use 'people' and 'they'
I am so confused by, for example, "People love their life or lives."
Whenever I click on software updater it says Failed to download repository information.  It's been saying this for the past few days now and I don't know why, my Internet connection is fine, I am able to manually download software.  Sometimes it crashes when I click okay, then attempts to look for updates again and gives me the same message.  Any ideas?  [EDIT] I just tried an answer posted where I reset where the downloads come from, but I was left with this message:  W:The repository 'http://ppa.launchpad.net/noobslab/noobslab-conky/ubuntu xenial Release' does not have a Release file.,  W:Data from such a repository can't be authenticated and is therefore potentially dangerous to use.,  W:See apt-secure(8) manpage for repository creation and user configuration details.,  W:https://content.runescape.com/downloads/ubuntu/dists/trusty/InRelease: Signature by key AAC9264309E4D717441DB9527373B12CE03BEB4B uses weak digest algorithm (SHA1),  E:Failed to fetch http://ppa.launchpad.net/noobslab/noobslab-conky/ubuntu/dists/xenial/main/binary-amd64/Packages  404  Not Found,  E:Some index files failed to download. They have been ignored, or old ones used instead. JAVA Bad variable reference? Receiving strange output - possibly memory address? For quite some time now I have been asking myself how the world of Game of Thrones is shaped and if the people living in that world know the shape.   In questions here on SciFi.Stackexchange concerning the unnatural seasons or the definition of a year in Westeros, it is often  that the Westerosi can measure the duration of a revolution of their planet around the sun. But that only works if they know that they actually live on a planet.   In  answer it was said that people have been travelling in ships around the world. However, I cannot remember any passage in the books supporting this. Actually I only remember evidence for the opposite:    During the  on the Iron Islands, there is a man called  who promises the Ironborn treasures from lands far to the west, if they elect him as king. However, the POV character of that chapter (I think it was Victarion Greyjoy) does not believe him and sees the madness in Gylbert's eyes - as if speaking of travelling west is crazy.  Later when he leads the attack against the Shield Islands, the Iron Fleet travels out of sight of the coast line. This manoeuvre is considered very dangerous and risky. If this is already dangerous, traveling even further west appears close to suicide.   In addition, there was a  who sailed to the far west and never returned.   establishes that the world is not a hollow world, but is not conclusive as to whether it is a planet.  Is there any evidence in the books that the World of Ice and Fire is a planet? Was it established that the Westerosi know the nature of their world? Prove that if $a \mid b$ then $\gcd(a,b) = |a|$ has been solved, in XeTeX, by this code:  \def\kright#1{\leavevmode #1\kern-\XeTeXglyphbounds3 \the\XeTeXcharglyph`#1 } \def\kleft#1{\leavevmode \kern-\XeTeXglyphbounds1 \the\XeTeXcharglyph`#1 #1}   which allows me to align text more precisely to the ink by accessing the side-bearing measurements (\XeTeXglyphbounds1 and 3).  This XeTeX dependency is currently the only thing stopping me from moving to LuaTeX (mainly for microtype). Is an equivalent function available in LuaTeX, or planned?    After reading a bit more on microtype, could the equivalent effect be achieved by an appropriately-tailored set of character protrusions? That way, my move to LuaTeX might be a lot simpler. What is inertia of a body? The definition of  is  "Inertia is the resistance offered by the body whenever its state of motion is changed."   What is inertia of a body? Is inertia actually a force exerted by the body?  If so, then why is there no application of inertia in numerical problems involving application of force on a body? What is the actual application of inertia in theory? Fastest way to move Collection from Sharded MongoDB Cluster to a another Sharded MongoDB Cluster How Deep Are Bender's Insides? Bender often pulls large objects from his torso cupboard, but how deep or how much empty space is he capable of storing? Can he bend space around the perimeters of the frame of his torso's door? If that is the case, does it also bend time? I suppose he might bend in more ways than one... How do I get a thread ID from an arbitrary pthread_t? I have a pthread_t, and I'd like to change its CPU affinity. The problem is that I'm using glibc 2.3.2, which doesn't have . That's OK, though, because pthread_setaffinity_np() is itself a wrapper of , which can be called by passing a thread ID instead of a process ID to set the affinity for an arbitrary thread.  BUT ... The thread id that sched_setaffinity can work with is an OS thread id, the kind that you can get from the  system call. This is different from the opaque type pthread_t, and gettid() will only return the thread-id of the current thread. I need to be able to set the CPU affinity of an arbitrary thread.  Unfortunately, I can't access the pthread's private parts, which would let me steal the thread id by casting a pthread_t to a struct pthread *. All the better, I guess, since relying on private implementations is asking for even more trouble.  I've also been reading up on the  function, however this returns a "unique integral identifier" -- which I don't believe is in any way shape or form equivalent to an OS thread id.  Hence, the question: How can I get a thread ID from an arbitrary pthread_t? What does a wizard do to cast a spell which contains a DF component? Take  for example,  Components V, S, DF    A divine focus component is an item of spiritual significance. The divine focus for a cleric or a paladin is a holy symbol appropriate to the character's faith. The divine focus for a druid or a ranger is a sprig of holly, or some other sacred plant. If the Components line includes F/DF or M/DF, the arcane version of the spell has a focus component or a material component (the abbreviation before the slash) and the divine version has a divine focus component (the abbreviation after the slash).  So do wizards have holy/unholy symbols in their spell components pouch or what? Improving our spatial data by calculating "Close to Coastline", "Close to Park", "Close to Stadium" etc A quick background for context is maybe helpful for this.  Essentially we have "vacation rentals" and I would like to add additional data to them automatically. We create booking websites for customers who have very niche sites, for example,    "Pet Friendly" rentals.  "Olympic Cottages" "Surfing Adventure Lettings".    Quite often each of our customers always ask the same questions,   "It would be awesome if we could plot the distance and sort properties based on their relative distance from XYZ".   Usually XYZ is something like a list of dog friendly beaches, or cycle tracks, or wine vinyards. So esesntially points of interests which are easily definable. In those cases, we've always just asked the customer to provide a list of the lat/lngs of every possible "point of interest" that they would like us to calculate distance from".  More recently we've been asked to include "Close to Coastline".   What I want is to come up with a standard way of automating this. My ideas so far are to create a shapefile. For example, let's say we wanted to do "Close to Coastline", we could use something like     At this point, I'm somewhat stuck in knowing how would be most efficient to calculate the distance from the edge of the coastline.   I'm thinking about being able to just create/add a shapefile per "concept" that the customer wants us to use for their product. But then do not know the process/tools available to me to know distance from each edge, or vector point. Why use gradient descent for linear regression, when a closed-form math solution is available? I am taking the Machine Learning courses online and learnt about Gradient Descent for calculating the optimal values in the hypothesis.  h(x) = B0 + B1X   why we need to use Gradient Descent if we can easily find the values with the below formula? This looks straight forward and easy too. but GD needs multiple iterations to get the value.  B1 = Correlation * (Std. Dev. of y/ Std. Dev. of x)  B0 = Mean(Y) – B1 * Mean(X)   NOTE: Taken as in   I did checked on the below questions and for me it was not clear to understand.      The above answers compares GD vs. using derivatives. Is there a way to specify fragile mode as default for all frames? Now I know how to define a fragile frame: \begin{frame}[fragile]. In Star Wars: "The Force Awakens," how could this lightsaber have turned up where it did? In The Force Awakens:      Maz Kanata tells Rey that the lightsaber she just picked up and had visions from belonged to Anakin and Luke and now it's hers.   The lightsaber that Luke got from Obi-Wan Kenobi in A New Hope was lost/destroyed when Luke fought Darth Vader in Star Wars: The Empire Strikes Back.  In Return of the Jedi Darth Vader compliments Luke on building a new lightsaber and tells Luke that his skills are now complete.   How could that possibly be the lightsaber that Anakin used originally, and that was then passed on to Luke, when that lightsaber no longer exists?  Writers notes, director's notes, interviews, cast interviews, etc. are welcome. Thanks. Is it the case that for all sets $A, B, C,$ and $D$, $(A \times B) \cup (C \times D) = (A \cup B) \times (C \cup D)$? I think I have managed to work this out, however there is no solution provided with the question so I thought it best to check.   My working:  Let $(x,y) \in (A \times B) \cup (C \times D)$  $\Rightarrow x \in (A$ or $C)$ and $y \in (B$ or $D)$  $\Rightarrow (x, y) \in (A \cup C) \times (B \cup D)$  $\Rightarrow (A \times B) \cup (C \times D) \subseteq (A \cup C) \times (B \cup D)$  Now let $(x,y) \in (A \cup C) \times (B \cup D)$  $\Rightarrow x \in (A$ or $C) $ and $y \in (B$ or $D)$  $\Rightarrow (x, y ) \in (A \times B) \cup (A \times D) \cup (C \times B) \cup (C \times D)$  $\Rightarrow (A \cup C) \times (B \cup D) \nsubseteq (A \times B) \cup (C \times D)$  $\Rightarrow (A \times B) \cup (C \times D) \not= (A \cup C) \times (B \cup D)$  Is this correct?  Thank you. Why is chi square used when creating a confidence interval for the variance? This is a very basic question. Why do we use a chi square distribution? What is the meaning of this distribution? Why is this the distribution used for creating a confidence interval for the variance?   Every place I google for an explanation just presents this a fact, explaining when to use chi, but not explaining why to use chi, and why it look the way it does.  Many thanks to anyone that can point me towards the right direction and that is - really understanding why I am using chi when I am creating a confidence interval for the variance. Why didn't Isildur's Heir come forward sooner? Greets  This is exercise 15.d chapter 3 of Stein &amp; Shakarchi's "Complex Analysis", they hint: "Use the maximum modulus principle", but I didn't see how to do the exercise with this hint rightaway, instead I knew how to do it with the Casorati-Weiestrass Theorem, here is my answer:  Define $g(z)=f(1/z)$ for $z\neq{0}$,then by the hypothesis we must have that for any $\epsilon&gt;0$ $g(D_{\epsilon&gt;0}(0)-\{0\})$ is not dense in $\mathbb{C}$, then the singularity at $0$ of $g$ is not essential, this implies $f$ must be a polynomial, but if $f$ is a non-constant polynomial, it is easy to see that its real part must be unbounded, so $f$ must be constant.  I would like to know an answer with the the maximum modulus principle.  Thanks I have to travel to Germany and Switzerland for business purpose. I have already been here 2 years ago. I have applied for business visa to the German consulate twice and both times the application got rejected. They have put a green stamp on the last page twice. The reason is the purpose and information submitted regarding intended stay is not reliable. I have submitted the documents to Swiss consulate and they have accepted and granted me a visa. Now I have to first travel to Germany and then to Switzerland.  So my question is, with a Schengen business visa granted by Switzerland, may I enter in Germany? Does the rejection stamp has any impact for entering at German airport ? Does it mean I cannot travel to Germany but to other Schengen countries ? Listings: text highlighting based on prefix How can I apply different styles to keywords depending on their prefix?  Here is some sample code:  (-2,0,0) (2,1,1) op-registerbox !box1 ;box1 /Blue op-setproperties   I'd like to typeset   words starting with ! and ; in color red, words starting with / in color green, words starting with cp- in bold.   So far, this is what I've got:  \lstdefinelanguage{XX} { basicstyle=\small\sffamily\fontseries{c}, emphstyle=\underbar, keywordsprefix=[2]{/}, alsoletter={/}, keywordstyle=\textbf, keywordstyle=[2]\color{green}, morekeywords={op,registerbox, ...}, morestring=[b][\color{green}]", columns=flexible, escapechar=\%, numbersep=6pt, numberstyle=\scriptsize }   I'm aware that only one keywordsprefix can be defined at the moment: specifying more than one class of prefix (keywordsprefix=[2]{/}) is currently not supported. I'd like to avoid having to list all the words that match my description into morekeywords. Is that possible? How?