What happens to my music if I unsubscribe from Apple Music?
What happens if I unsubscribe from Apple Music, then resubscribe at a later date?
Compiz Problems (Plugin Missing, Performance Issues, Development) I've recently set up the compiz cube again, and I was very happy to find that that flickering window glitch is gone! However, the cube reflection and deformation plugins are also gone.  I am running a fresh 12.10 install, and I have every compiz plugin package installed (including compiz-plugins-extra, which supposedly contains everything that compiz-fusion-plugins-extra package used to have), but those two plugins are still missing. I haven't been able to find anyone with the same problem.   Any ideas? (thanks!) How to prove by induction that $\frac{a^n+b^n}{2}\geq\left(\frac{a+b}{2}\right)^n$? I'm about to prove that for any $a,b&gt;0$ and $n\in\mathbb{N},$ the inequality: $\frac{a^n+b^n}{2}\geq\left(\frac{a+b}{2}\right)^n$ holds.   By induction I get: $$\left(\frac{a+b}{2}\right)\cdot\frac{a^n+b^n}{2}$$ $$=\frac{1}{2}\cdot\frac{a^{n+1}+b^{n+1}+ab^n+ba^n}{2}$$ $$=\frac{1}{2}\left(\frac{a^{n+1}+b^{n+1}}{2}+\frac{ab^n+ba^n}{2}\right).$$  Now I have to prove that $$\frac{1}{2}\left(\frac{a^{n+1}+b^{n+1}}{2}+\frac{ab^n+ba^n}{2}\right)$$ $$\leq\frac{a^{n+1}+b^{n+1}}{2}$$ $$\Leftrightarrow a^{n+1}+b^{n+1}\geq ab^n +ba^n.$$ But I don't know how to prove that one, is it possible to be proved by induction ? Thank you. Proving that two systems of linear equations are equivalent if they have the same solutions I've just begun to work learn Linear Algebra on my own through Hoffman and Kunze's book and the first problem set already has a question that I can't solve:  Prove that if two homogeneous systems of linear equations in two unknowns have the same solutions, then they are equivalent.  I can't seem to figure out how to prove this without resorting to case work where you account for the cases where one of the coefficients are zero and when both are.  Is there an elegant way to prove in general that when two systems of linear equations have the same solutions, they are equivalent? The converse is obvious enough though.  Definition of equivalence from the text :     Let us say that two systems of linear equations are equivalent if each equation in each system is a linear combination of the equations   in the other system. GOTO still considered harmful? What is the proof that a force applied on a rigid body will cause it to rotate around its center of mass? Is there a difference between "Joe said" and "said Joe"? Does the subject/verb order make a difference when writing a dialog tag?  &quot;The sky is blue,&quot; Joe said. &quot;The sky is blue,&quot; said Joe.  Is one preferable over the other? Does one emphasize the speaker (or the method of speech, such as shout) more than the other? (Personally, I would use the second form to emphasize that Joe made the statement) Inheriting constructors Shouldn't it be "he was the most famous fighter to have ever lived"? Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$ Basis step has already been completed. I've started off with the inductive step as just $n=k+1$, trying to involve $f(k)$ into it so that the left over parts can be deducible to be divisible by $x^2$ but getting stuck on this inductive step. What is the name of the problem where lines appear in a photo where there should just be a smooth gradient? Is it possible to turn off radio without turning of wifi on Lenovo k900? I am currently having a look at the power consumption of a lenovo k900 phone and on the hardware side it seems Radio and Screen is using most of the power.  I am planning to use wifi but not the radio. Are they disconnected ? If so, can I use just the wifi, but no radio/telephony ? Are the settings or commands/intents to access these settings ?  Thanks! Can you dispel a magic effect you can't perceive? Discussions about Dispel Magic seem to imply that as long as you can perceive a magic effect in range of the spell, you can try and dispel it.   See  and  from @Miniman:      knowing where it is means that you know where it is. This allows you to use spells like Dispel Magic to remove its invisibility.   But what if you can't perceive it?  Two scenarios come in mind:   In combat, an evil wizard casts Invisibility on himself, walks away from the fray and uses the hide action on his next turn. Since PCs know/assume/deduce he's invisible and certainly in range of the spell, can one use Dispel Magic to end the spell? PCs enter a 80'&times;80' room. Can one declare: "I dispel any Invisibility spell in range", thus revealing one (the closest?) invisible enemy in the room?   What's enough to enable a caster to cast Dispel Magic on a magic effect:    perceiving (seeing, hearing, smelling, etc.) it? knowing/assuming/deducing it's there? or merely suspect/predict it? How to detect Safari, Chrome, IE, Firefox and Opera browser? If $f:[0,1]\to\mathbb R$ is continuous and $\int_0^x f(t)dt = ∫_x^1f(t)dt$ then prove that $f(x)=0$.  I suppose that $f(x)$ isn't zero, set $g(x)= \int_y^xf(t)dt$ with $y\in[0,1]$ and use Bolzano but I don't know if it's right. I'm using the following syntax for my code snippets  \begin{minipage}{\textwidth} \begin{lstlisting}[caption=&lt;something&gt;, label=&lt;something&gt;] The REST Endpoint URL     is http://api.flickr.com/services/rest/  To request the flickr.test.echo service,     invoke like this:    http://api.flickr.com/services/rest/       ?method=flickr.test.echo&amp;name=value  By default, REST requests will send a REST response. \end{lstlisting} \end{minipage}   and I would like to have  \begin{code}[&lt;caption&gt;, &lt;label&gt;] ... code ... \end{code}   which would behave exactly the same.   So I tried this thing but it won't compile and I can't spot the problem  \newenvironment{code}[2][]%     {         \minipage{\textwidth}          \lstset{             basicstyle=\ttfamily,             breaklines=true,             captionpos=b,             frame=bottomline,             extendedchars=true         }         \begin{lstlisting}[caption=#1, label=#2]     }     {         \end{lstlisting}         \endminipage     }   Error when running pdflatex  ! Package inputenc Error: Unicode char \u8:�\expandafter not set up for use with LaTeX.  See the inputenc package documentation for explanation. Type  H &lt;return&gt;  for immediate help. Photons in expanding space: how is energy conserved? If a photon (wave package) redshifts (stretches) travelling in our expanding universe, is its energy reduced?  If so, where does that energy go? Flight ticket reimbursement after Travel Warning I've got a round-trip flight with Royal Air Maroc from Strasbourg, France (SXB) to Ouagadougou, Burkina Faso (OUA) on Monday, Nov 10. Return is on Dec 1. The recent turmoils in Ouagadougou have led the US Department of State for Travels to issue a , which is why I'd like to refrain from the trip.  Any chance I can get a reimbursement for my tickets? In Germany (where I live), an official travel warning can help you get a refund when you book a trip with a tour operator/travel agency, but in this case I booked the flight directly with a non-German airline, so German law surely doesn't apply here.  EDIT: Sorry for failing to state this earlier, but I had already called the airline as suggested in the answers. They had told me it's not possible to get a refund with my standard fare. However, I understand that sometimes you really have to bargain to get a refund, so I wanted to learn about similar experiences and possibly about some hard (legal) facts that I could bring forward. Create a virtual file that is actually a command Is "of" instead of "have" correct? Should my flair be including sites with less than 200 reputation? I took a look at my profile, where I stuck my flair. Here's the flair:    However, I don't have 28k rep. According to chat, I have 19.7k.  Note: I know about the combined flair - I've had this in my profile for at least a year. It had been showing me the same as in chat, now it isn't.   What is going on here?  Edit: I'm reporting a bug here, that the combined flair is not showing the correct number, as it has in the past.