My 2016 13" MacBook Pro's screen goes black when it is opened vertically beyond 90 degree I have experienced this issue today. I closed my MacBook as usual when I had something to do. Then I came back, tried to use it again. However the screen went dark when it was opened vertically beyond 90 degree.  I went on the Internet to search for this problem and tried to resetting SMC, but it did not work. How can I do to fix this problem?
2015 Macbook Air screen gradually dimming and dying This is not a problem at booting up. For a couple months now I'll be using my laptop when suddenly the screen dims to about 50% of normal. According to the brightness indicator the brightness is all the way up; I can make it dimmer, but not as bright as normal. The dimming isn't super even either, there are small areas of the screen that seem darker/brighter. In the past the problem easily goes away if I close the lid and reopen it... but now it's happening a lot and sometimes going completely black. Is this an easy/cheap fix? I'm traveling and can't do it myself. Is it worth bringing to the Mac store?  Thanks!
TikZ rectangular node with different rounded corners Polynomial $P(a)=b,P(b)=c,P(c)=a$ Let $a,b,c$ be $3$ distinct integers, and let $P$ be a polynomial with integer coefficients.Show that in this case the conditions $$P(a)=b,P(b)=c,P(c)=a$$ cannot be satisfied simultaneously.  Any hint would be appreciated. How does matchmaking work in Play mode? How does Hearthstone match you with opponents in Play mode, for both Ranked and Unranked? Does your record in Ranked affect matchmaking in Unranked (and vice-versa)? Meta Meta Privilege I just took a look at meta today and noticed something weird in the meta privileges. If you look at the meta privilege list, you can see that at . I know that there is no meta for meta, and the link they give you in the privilege page leads you to meta.stackexchange.com, right where you started. Why do they have this privilege? I have a feeling that this is a bad recursive joke. You must be  member of meta to get the privilege of being a member of meta! :) Can FFMPEG extract images from a video with timestamps? I've looked at the resumes of the type of candidates that get into computer science PhD programs at the top few universities (e.g. Stanford, MIT etc.) and a lot of them seem to have multiple publications (2-4) done during their undergraduate years. Is this representative of the entire pool? Or is this just a self-selected group that puts their resumes online.  I currently have one first-author workshop paper (5 pages), and I wonder how this might affect my chances at entry into these top universities. I searched wide and far and couldn't come up with a title for a movie I watched somewhere around the mid-90ies up to early 00's as a rerun in late-night television (in Germany, specifically on Vox; but I'm sure it was an American movie to begin with).  Basically, what I remember from the story revolves around a crew in a space station or maybe space ship of some sort. Some crew members murder other crew members and there is some kind of door they are not supposed/unable to go through. Late in the movie they do go through the door and I'm pretty sure one of the first views is a skeleton of a dead security guard. It turns out the whole thing was some kind of simulation gone wrong and they find themselves to be in a (nuclear?) wasteland. And that's pretty much the revelation/wrap-up of the movie, as I recall it.  I would be delighted if somebody had any idea what movie this could be :) Thanks!  EDIT: The whole movie was in color and I think it was feature-length, not just 45 mins. Justifying the Normal Approx to the Binomial Distribution through MGFs Would absolutely love if someone could help me with this question, in a step by step way to help those who are uninitiated to Statistics and Mathematics.   So, I am trying to "prove/justify" through MGFs how as n(the sample size) increases and goes to infinity, a standardized binomial distribution converges to the Standard Normal Distribution. So in the beginning we have $X_n $~$ Bin(n,p)$ then we standardize this $R.V.$ by subtracting the mean $E(X_n)=np$ and dividing by the $SD$ which is $np(1-p)$. After doing this, we get a new $R.V.$ with $mean=1$ and $variance=SD=1$. It is the distribution of this standardized quantity that converges to a fixed distribution, correct? Namely the Standard Normal Distribution. Let's call the standardized version of $X_n$, $Z_n$.   I think what we need to do is to find the MGF of $Z_n$ and show that this MGF becomes the Standard Normal Distribution's MGF as the sample size $(n)$ heads toward infinity. Now $Z_n$ is a function of $X_n$ which we know the MGF of which is $(1-p+pe^t)^n$.   Now I know that $Z_n$ is a linear transform and that we should be able to use this to simply the MGF but I don't understand how the course notes do it, mostly because they skip a lot of steps and it is difficult to follow. There is also a Taylor Series Expansion for the exponential that I am confused about although I do understand the concept of the series expansion.  Help would be greatly appreciated! I would love assistant in exactly how we can prove this via MGF.   Thanks so much in advance :) Is there a correct gender-neutral singular pronoun ("his" vs. "her" vs. "their")? Is there a pronoun I can use as a gender-neutral pronoun when referring back to a singular noun phrase?  Each student should save his questions until the end. Each student should save her questions until the end. Retry a task multiple times based on user input in case of an exception in task Inner product on $C(\mathbb R)$ With axiom of choice it is possible to construct an inner product on $C(\mathbb R)$. My question is, is it possible to explicitly construct an inner product on $C(\mathbb R)$? I.e. to give a closed formula to calculate the inner product? I know it is straight-forward to write down a scalar product using a Hamel basis. This is not the answer I am looking for. This question came to me, when a student asked me in the lecture today 'whether there are vector spaces without inner products'. So I tried to find scalar produces for function spaces. I think I managed to write one down for $L^1((0,1))$. But I failed to construct one for $C(\mathbb R)$. The  spell says:     The spell captures some of the incoming energy, lessening its effect on you and storing it for your next melee attack. You have resistance to the triggering damage type until the start of your next turn. Also, the fist time you hit with a melee attack on your next turn, the target takes an extra 1d6 damage of the triggering type, and the spell ends.   The  cantrip says:     Lightning springs from your hand to deliver a shock to a creature you try to touch. Make a melee spell attack against the target. You have advantage on the attack roll if the target is wearing armor made of metal. On a hit, the target takes 1d8 lightning damage, and it can’t take reactions until the start of its next turn.   If I absorb fire damage with absorb elements, would I be able to add an extra 1d6 fire damage to my next shocking grasp attack? How are dashes implemented in TeX? How does LaTeX implement the differences between the dashes?  -, --, and --- all print different dashes, but - is not an active character: it has catcode 12, the same as digits like 2. We've been talking a lot about the efficacy of community self-evaluations lately, both internally on the Community Team and out in the open . Lots of ideas were tossed around, but the underlying theme of these discussions has been that site self-evaluations are not useful in their current form. The review queue format hampers discussion, the meta thread posted by the Community user is trivially ignored, and the sample question size is far too small to be useful, but big enough to be non-trivial for participants. They also don't provide much in the way of useful information to community managers behind the scenes.  So we're going to shut them down this week, and we'll be using the time it saves us to digest the ideas y'all have thrown out in the previous discussions and figure out where to go from here.   I'll be going over the previous threads with a fine-toothed comb to try and suss out what worked well and what was broken and determine a more useful mechanism - if one is required at all. I'd also welcome continued suggestions from the communities about how to continue capturing what the evals accidentally did right - encouraging communities to stop and examine how they're doing at somewhat regular intervals.   So: if you have ideas on how to get communities to monitor their own Q&amp;A quality and get a little introspective, feel free to sound off in the answers.  Update: with a creative application of per-site feature toggles, we've shut down evaluations except on a handful of sites where they're currently running. Once those evaluations run their course, no new ones will be started anywhere on the network. I often see tutorials on the web or posts on this site which make heavy use of the following characters at the command line. Often it seems that they are used for pretty similar purposes. What are the differences between them when used on the command line or for shell programming? For what purpose do I use which of them?  " " double quotes  ' ' single quotes  ` ` backticks Few font size-related layout issues I am using a default font size of 26px and stackoverflow's layout seems to not work well with such a large sizes.  The most important issue is that many inputs tend to overflow and partially get hidden below side text. This includes one with login, ‘Title’ and — the most important issue — the editor, which makes writing posts a little painful.  Another important one is that sometimes 'search' field doesn't fit in topbar and jumps lower, being partially hidden by logo. I met that issue on stackoverflow itself only while serverfault &amp; meta display fine (but that may be related to rep or sth).  There's one minor issue too — navbar is too narrow and ‘Ask Question’ jumps below — but this one looks quite nice (maybe it's even intended?).  Screenshot: (click to enlarge) How do you detect where two line segments intersect? Covariant derivative ambiguity I'm studying general relativity and am running into an ambiguity with the covariant derivative. The covariant derivative acting on a scalar is, in a co-ordinate basis, simply $$\nabla_X f = X^a \nabla_a f = X^a \partial_a f $$ whilst when acting on vectors or tensors, the covariant derivative includes extra terms involving the connection coefficients $\Gamma$. My problem is that I'm not sure what happens when the covariant derivative acts on the components of a vector. So the $X^a$ in the above expression are each scalar functions, and so when we write $\nabla_Y X^a$, do we assume the covariant derivative acts on $X^a$ as scalars, or do we include connection coefficient terms?  To clarify, consider $$ \nabla_X Y = X^a \nabla_a(Y^b e_b) = X^a (\nabla_a Y^b) e_b + X^a Y^b (\nabla_a e_b) = X^a (\partial_a Y^b) e_b + X^a Y^b \Gamma^c{}_{ba} e_c $$ As you can see, when the covariant derivative acts on the $Y^b$, it acts as a simple partial derivative, since the $Y^b$ are here considered functions premultiplying the vectors $e_b$.   However, in this equation from  page: $$(\nabla_X \nabla_Y Z)^a = X^c \nabla_c Y^b \nabla_b Z^a = X^c Y^b \nabla_c \nabla_b Z^a + (X^c \nabla_c Y^b) \nabla_b Z^a = (\nabla^2_{X,Y} Z)^a + (\nabla_{\nabla_X Y} Z)^a$$ When the covariant derivative acts on the $Y^b$ term it treats it like a vector.  What's going on here? Thanks. Knife tool doesn't cut obscured edges I'm using Blender 2.66,  I find that the knife tool (K) doesn't work the way it used to.     Dragging across an obscured edge, even if selected, doesn't cut it. There seems to be no way to activate the option to do a midpoint cut or multiple cuts. Hydrogen radial wave function infinity at $r=0$