How do I create mist easily?
How to create Mist in Blender
Do I need a UK or Ireland transit visa when flying from the US to a Schengen country? I am travelling to Budapest and therefore have a Schengen Visa. I hold an Indian passport and a valid US visa. I'm travelling from Chicago-Heathrow-Budapest and returning by Budapest-Dublin-Chicago.  Would I need a transit visa for UK/Ireland?  UPDATE  Hoping this will help someone someday.   I was not allowed to board my return flight (BUD-DUB-ORD) because I do not hold an overnight Irish Transit Visa. They said I could have transited happily if the connecting flight was in the same day, but because I would have to originally land at 10 PM and catch the connecting flight next morning at 10 AM, I needed a transit visa. Well, I thought it was BS, but couldn't help comply with the rules. I booked another last minute ticket and flew via Warsaw via LOT. Problem Statement  Let $f(x) = x^3 + ax^2 + bx + c$ and $g(x) = x^3 + bx^2 + cx + a$ where $a,b,c$ are integers with $c\not=0$   Suppose that the following conditions hold:   $f(1)=0$ the roots of $g(x)=0$ are the squares of the roots of $f(x)=0$      $$\text{Find the value of} \: \: a^{2013} + b^{2013} + c^{2013}$$   My attempt  Let $f(x) = (x-p)(x-q)(x-r) \: \:$ and $g(x) = (x - p^2)(x-q^2)(x-r^2)$  Expanding we get $$f(x) = x^3 - (p + q + r)x^2 + (pq + pr + qr)x - pqr$$  $$g(x) = x^3 - (p^2 + q^2 + r^2)x^2 + (p^2q^2 + p^2r^2 + r^2q^2)x - p^2q^2r^2$$  And so we have $$a = -(p+q+r) = -p^2q^2r^2$$ $$b = pq + pr + qr = p^2 + q^2 + r^2$$ $$c = -pqr = p^2q^2 + p^2r^2 + r^2q^2$$  Then we get the following relations  $$a = -c^2$$ $$b = a^2 - 2b \implies 3b = a^2 \implies b = \frac{c^4}{3}$$  From $f(1) = 0$ we have $a + b + c = -1 \implies \dfrac{c^4}{3} + c - c^2 = -1$  However, upon graphing this function, I saw that there are no integer solutions for $c$. Have I done something wrong?  Edit  For future readers, my approach can simplified alot if you replace $r$ with $1$ since $f(1) = g(1) = 0$ Do I keep my Windows installation if I install Ubuntu with Wubi, the Windows installer? I used a website called Seeking Arrangements and met a  sugar daddy. He asked for my email login, online banking login, routing, account number, Facebook, as well as my  address which is the only thing I gave him since it’s a PO. I’ve been extremely vague just to see if this is real.   I don’t plan to give him anything because I have only been talking to him for a few months and  I feel conflicted. I doubt that he is trying to scam me but I suspect that he has some kind of master plan. With things such as Venmo, Zelle, and Cashapp, what is the need for “put me on his payroll?”   He claims that he is in another country on a business trip.  He said that  he tried to send me a gift but he lost access to his card. He is now asking to deposit more than 10k into my account and have me wire it. Is this a l classic way of scamming people? If so, is it common that they spend months creating a relationship with you  to catfish you? How do you find the modular inverse of $5\pmod{\!11}$ Needing to upgrade Squid 3.5.12 on Ubuntu 16.04.3 LTS to a more recently patched version (Squid 3.5.23) I found some instructions here:   Entered the first 3 commands exactly and got a note from apt-get: "N: Skipping acquire of configured file 'main/binary-i386/Packages' as repository ' xenial InRelease' doesn't support architecture 'i386'"  I don't have typos and nonexistent foreign architectures as others have done:  root@wprdsqd01:/# dpkg --print-foreign-architectures i386 root@wprdsqd01:/# dpkg --print-architecture amd64 root@wprdsqd01:/#   Does this just mean that the repository doesn't have i386 (32bit) binaries ?  Thanks I have been editing an answer on , with some considerable amount of effort, and when I hit on Save Edits, the edit gets rejected with the following error. I got to know the meaning of this from .     The edit queue is full at the moment - try again in a few minutes!     I tried in a few mins, and still it didn't work. I believe that some edits might be valuable and this resists the users from doing so.   Main Question: Is there a way to show the queue limit at the beginning of the editing process? (So that we won't spend time on doing the edit, knowing it will fail) Is there a way to have coloured hyperref hyperlinks in the PDF, but have them print "as if" they were black? I like having my hyperref hyperlinks a different colour, so it's obvious that they are links. But when I print a copy of the PDF, I don't want the links to be coloured, because you can't click them, so it doesn't matter and it's distracting.  Other than just having a separate "for printing" version of the PDF where I turn off the hyperlinks, is there a way to have the printed version come out without the coloured links? Callback animation to begin only after ALL children have finished animating Wirtinger Inequality: $\int_0^1 f'^2 \geq \pi^2 \int_0^1 f^2 $ I have a  basic question  Let $f$ be a $\mathcal{C}^1$  map  from  $[0,1]$ into $\mathbb{R}$ vanishing in $0$ and $1$. I want to prove that   $$\int_0^1 f'^2 \geq \pi^2 \int_0^1 f^2 $$  and to see when we have equality. Should OK button be on left of Cancel button or vice versa?   Are there any studies suggesting either of the solutions? Integral equation problem How would I create an arch? Colors from a computer vs. colors from visible spectrum of sunlight Observation:  So, I know that all computer screens are able to project many different colors by varying how they display the RGB (Red, Green, Blue) pixels.  Question  What's the difference between say, yellow light (575 nm) from sunlight vs. the same yellow light that's displayed on the computer screen? Aren't they different? Is our brains mixing together the RGB lights together and its being interpreted as yellow light or is yellow light the same (575 nm) light that comes from sunlight actually hits our eyes?  Relationship between Fourier Series and light?  1) So I know that in Fourier Series, you have basis functions, sines and cosines that make up any other function depending on the coefficients that are in front of the sines and cosines terms.  2) I know that RGB colors on a screen are the "basis" for all the other colors that a computer screen makes up and the intensity of each of the RGB are like the "coefficients". So, am I making the correct relationship here? Inequality about infinite cardinals The following is a question I'm interested in solving:    The idea is to solve it without using AC. As @Asaf Karagila pointed out in the comment section:  "Even if $\kappa$ is an infinite cardinal, you can't assume that $\kappa \geq \omega$ without using AC".  I am still trying to think this through: My reasoning being, that as $\kappa &gt; n \forall n \in \omega$, then $\kappa \geq \sup\{n:n\in \omega\}=\omega$ as $\omega$ is a limit ordinal.  Where does my reasoning fail? And also, a detailed solution would be very appreciated. Keeping chunks loaded in minecraft I have built an iron farm somewhere far away from my actual spawn chunks in my single player world. In hindsight, this was a dumb idea, but I can't exactly change it anymore. I'd like to keep the thing running all the time, so I'm looking for a way to keep the chunks loaded.  I'm running minecraft 1.12.1, is it possible at the moment? I have looked at some chunk loader mods, but chicken chunk loader hasn't been updated yet, and the others simply didn't work.  I have tried moving the spawn chunks, but that hasn't done anything either.  Edit: I have worked this out with IronAnvil, and it ended up being a render setting in optifine which didn't load them correctly somehow. It has been working fine after I reset my optifine settings to default. How to reinstall Ubuntu in dual boot with Windows 10? I have Ubuntu 15.10 and Windows 10 dual-booted, but I want to reinstall Ubuntu in the same partition without making any changes or causing problems in the dual boot option and without removing Windows.  Is it possible? Any guide on how to do it? How to resolve merge conflicts in Git repository? I want to resolve merge conflicts in my Git repository. How to do that ? Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular I'm given a matrix A, its dimensions are n x n.  I am required to prove that an invertible matrix B exists, such that the product of the matrices BA is triangular.  Any help? Minimum value of $\left(a+\frac{1}{b}\right)^2+\left(b+\frac{1}{c}\right)^2+\left(c+\frac{1}{a}\right)^2$ Given $a,b,c \in \mathbb{R^+}$ such that $a+b+c=12$   Find Minimum value of $$S=\left(a+\frac{1}{b}\right)^2+\left(b+\frac{1}{c}\right)^2+\left(c+\frac{1}{a}\right)^2$$  My Try: By Cauchy Schwarz Inequality we have  $$\left(a+\frac{1}{b}\right)+\left(b+\frac{1}{c}\right)+\left(c+\frac{1}{a}\right)\le \sqrt{3}\sqrt{S}$$  $\implies$  $$\sqrt{3S} \ge 12+\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$$  Now by $AM \ge HM $ inequality we have  $$\frac{a+b+c}{3} \ge \frac{3}{\frac{1}{a}+\frac{1}{b}+\frac{1}{c}}$$ $\implies$  $$\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \ge \frac{3}{4}$$  hence  $$\sqrt{3S} \ge 12+\frac{3}{4}=\frac{51}{4}$$  hence  $$3S \ge \frac{2601}{16}$$  so $$S \ge \frac{867}{16}$$  is this approach correct and any better approach please share.