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Probability of lim sup, lim inf for sequence of random variables. Maybe this is extremely simple, but i havent found a specific answer for this online.  For a sequence of independent continuous random variables $X_n$ ,$n=1,2,3,...$ , all with the same probability density function $f(x)&gt;0$ for all real $x$, and a specific real number $b$, what do the following events mean in simple terms and what is the probability of each?  a)$\lim_n\sup\{X_n \gt b\}$ b)$\lim_n\inf\{X_n \gt b\}$ c)$\lim_n\sup\{X_n \le b\}$ d)$\lim_n\inf\{X_n \le b\}$ How to move /usr to a new partition? The full prophecy by Trelawney, the part my question is about in bold:     "The one with the power to vanquish the Dark Lord approaches ... born to those who  have thrice defied him, born as the seventh month dies ... and the Dark Lord will mark him as his equal, but he will have power the Dark Lord knows not ... and either must die at the hand of the other for neither can live while the other survives ... the one with the power to vanquish the Dark Lord will be born as the seventh month dies ..."    – Sybill Trelawney (to Dumbledore)    I am interpreting      for neither can live while the other survives   as: Harry can't live while Voldemort survives and vice versa. But why? It clearly worked until the end of book 7. One could argue with Dumbledore's thery of the self-fulfilling prophecy. But clearly Voldemort was smart enough to see that there was no mechanism that would kill him just because Harry stayed alive.    and either must die at the hand of the other    Again: Why? If somebody else destroyed all Horcruxes and then killed Harry, Voldemort would be just as vulnerable and could be killed by anyone. On the other hand, Harry could have been killed by anyone - his mum's protection transferred to Voldemort by Harry's blood was only helping against Voldemort.  I guess that I am interpreting this part of the prophecy in the wrong way or maybe there is an alternate, less obvious and more tricky one. So my question is: What exactly does the highlighted part of Trelawney's prophecy state? Install MS Truetype Fonts system-wide for all users I would like to install the MS Truetype Fonts that come through the package ttf-mscorefonts-installer, so I did:  sudo apt-get install ttf-mscorefonts-installer   Accepting the license, the process completes without any errors. The fonts end up in     /usr/share/fonts/truetype/msttcorefonts   as expected. Just to be sure, I also did a  sudo fc-cache -f -s -v   which among other things says in its output:     /usr/share/fonts/truetype/msttcorefonts: caching, new cache contents: 60 fonts, 0 dirs   So far, so good (and inline with question ) However, when I then open any font dialog (e.g. in OpenOffice or the font dialog of the terminal) I don't see all of the new fonts. For Arial, the standard form is missing, but bold and italic are there. Times New Roman is missing altogether.  I can use nautilus to browse to the font directory, double click the Arial.ttf file and see the font in all its beauty. I can even click the install button then and the font is copied over to my personal ./fonts directory and from there on visible to my apps. But it is not picked up from the system directory.  How do I get these fonts available system-wide for all users? Find the image of (1,1,1) by T Why would I need a firewall if my server is well configured? Custom function won't refresh as inputs are changed How quickly is the desired state of curl of the Electric Field around a point achieved where a Magnetic Field Vector has just begun changing? My question and context with explanation are given below. Thank you in advance.   Faraday’s Law () states that a time-changing magnetic field vector induces a curl of the Electric field around that point. However it does not specify how quickly the necessary spatial gradient is developed in the Electric Field to satisfy that curl. Of course, the Electric Field vectors around that point cannot just jump to the required values instantaneously in accompaniment as soon as the magnetic field starts changing at a fixed rate, since it is required that the Electric Field has a sensible rate of change to in turn induce a curl of the magnetic Field and continue the propagation of the wave. It would seem the exact rates at which the Electric and Magnetic Fields are changing is critical in the mechanism of an EM wave’s propagation. How would I then calculate the rate of change of E somewhere along the wave given I know the rate of change of the B vector that began it, and given the wave is restricted to one dimension for simplicity? There should after all be some delay in how the EM wave moves from point to point in space, seeing as it moves at the finite speed of causality (3*10^8 m/s), as shown in the first image:    Some of my ideas so far have been that perhaps the rate of change of E is determined such that it exactly cancels the growth of the time-changing E vector that gave rise to a curl of B before, which developed at such a rate to induce a curl of E, which demands this rate of change of E which I am talking about now. In this way the wave might level out the growth of the fields in its wake and spread the change further outwards, in the same way smoothening out a crease spreads it elsewhere. However I am stuck on how to show this rigorously.  I am open to any difficulty of maths, so long as the answer provides the explanation. Below are some diagrams to help visualize what I am talking about:    Faraday's Law requires that a curl of E is developed, which under these restrictions requires a spatial gradient of E to appear across that point. Since the field across that point was previously in some other state, it is required that the Electric Field vectors that are infinitesimally close to that point undergo a rate of change through time to achieve the desired state of curl. The question is, how quickly is this desired state of curl achieved? Are there any disadvantages to using your companions for transporting Power Armor Why does Type I error always occur in a NHST? Or, is NHST too weak to tell the truth? Recently I have noticed that Type I error of a test is too much persistent. Even if all the values are almost equal (variance is extremely low) and tested to that value (true mean), still there is nearly 5% Type I error of the test. I am frightened and curious to rethink, are the people who have banned (or skeptic about) NHST (null hypothesis significance testing) truly correct? Let's have a look at the following r code:       n=10000 t1err=0 set.seed(1235) for (i in 1:n){    x=rnorm(100, 10, 20)    if (((t.test(x, mu=10))$p.value)&lt;=0.05) (t1err=t1err+1)  } cat("Type I error rate in percentage is", (t1err/n)*100,"%")   It will produce roughly 5% as Type I error. Seems ok. But let's see this:      n=10000   t1err=0   set.seed(1235)   for (i in 1:n){      x=rnorm(100, 10, 0.000001)      if (((t.test(x, mu=10))$p.value)&lt;=0.05) (t1err=t1err+1)    }   cat("Type I error rate in percentage is", (t1err/n)*100,"%")   Each values are extremely close to 10. Still it produces about 5% Type I error. What conclusion we may draw from it? Or, am I missing something? A scene I made is not rendering, at all. This grey screen stays the same and nothing changes.  Here are my settings:  [ A Riemann integrable function must have infinitely many points of continuity How to edit `postgresql.conf` with pgAdmin 3? How does one edit the 'postgresql.conf' file with the pgAdmin app?  With pgAdmin 1.18.1 on Postgres 9.3.x, when I choose File > Open postgresql.conf I get a file picker dialog. And, yes, I'm connected in pgAdmin as the superuser 'postgres'.  I know I've done this in older versions of Postgres. Same update keeps showing up everyday Evolving Pokemon based on CP vs Moves Many people are evolving their pokemons based on the CP. However, there's a growing number of people evolving based on Moves instead of CP. In other words, choosing pokemons that have the highest Moves to keep, even if it isn't necessarily the highest CP. I am new to pokemon and don't quite understand the difference between the two. Thus, which strategy is better? How to prove that a set is invariant? So I have a 2010 15" macbook pro (MBP6,1) and I replaced the optical drive with a hard disk. I wanted to install windows 7 on the hard disk with boot camp with a USB and ISO image.  After searching I found that I need to modify my plist.info to allow my boot camp to create a bootable USB (since normally it doesn't have the option to create the USB for my model since it came with a disk drive).   After doing so and seemingly having a fine (but long) install process onto the USB. I told boot camp how much space to partition windows on and hit install.  Then the computer restarted. When it came back up it was stuck on a grey apple logo screen forever (I waited 15 minutes to ensure it wasn't just "thinking"). I force restarted and the next time it turned on it got stuck on the grey logo for a bit but then proceeded to go to a black screen that said " No bootable device - please insert a bootable device and hit any key". I tried hitting keys with he USB in but nothing happened.  I had to eventually remove the USB and reset PRAM to get it to boot into osx again  Is there any way to install windows 7 from a usb on my macbook pro using boot camp? Multiple logistic regression power analysis I have a logistic regression model and output an $R^2$ value. I then go and add another predictor variable to fit a second model. I can output a new $R^2$ value associated with the second model. When I run an ANOVA test, I see no significant improvement in the second model, but I want to assess the power associated with including the additional variable in model 2.  I have found  for linear regression that uses an $F$-Test. I want to do something similar for a logistic regression using G*Power.   But there appears to be very little documentation on multiple logistic regression models like my situation. .  From what I understand, in G*Power I set Test Family == z tests and statistical test == logisitic regression. But I am not sure what to set R² other X equal to. Is that the improvement in $R^2$?  Reading the tutorial in 27.4 from the  makes no variation of $R^2$, whereas , does not discuss the improvements made from $R^2$. I am trying to retrieve list items using date range based on date column. It implicit both 'Fromdate' and 'Todate'.My CAML query is also querying on two other conditions as well. I am using the below query but it is not retrieving the data.when I remove the date range from query data is retrieved fine. But i want date range as well in my query how would i do this. Little help would work for me.   camlQuery.set_viewXml('&lt;View&gt;&lt;Query&gt;&lt;Where&gt;&lt;And&gt;&lt;And&gt;&lt;Neq&gt;&lt;FieldRef Name="ID" /&gt;&lt;Value Type="Number"&gt;0&lt;/Value&gt;&lt;/Neq&gt;&lt;Eq&gt;&lt;FieldRef Name="_ModerationStatus" /&gt;&lt;Value Type="ModStat"&gt;0&lt;/Value&gt;&lt;/Eq&gt;&lt;Geq&gt;&lt;FieldRef Name="Created" /&gt;&lt;Value Type="DateTime"&gt;' + fromDate + '&lt;/Value&gt;&lt;/Geq&gt;&lt;Leq&gt;&lt;FieldRef Name="Created" /&gt;&lt;Value Type="DateTime"&gt;' + toDate + '&lt;/Value&gt;&lt;/Leq&gt;&lt;/And&gt;&lt;/And&gt;&lt;/Where&gt;&lt;OrderBy&gt;&lt;FieldRef Name="_ModerationStatus" Ascending="True" /&gt;&lt;/OrderBy&gt;&lt;/Query&gt;&lt;/View&gt;'); Writing someone else's master's thesis: Unethical and illegal? It is really difficult for me to decide on this situation: when someone calls me and asks for work-for-hire for his/her thesis. I don't know what to do. I want to help and earn money but I think this way of earning money is unethical.  I think that receiving the title of thesis and giving back prepared manuscript is the intention that some people have, when asking for their thesis to be written.  There are plenty of websites offering such services!   The question is that: Is it legal and or ethical to write someone else's master's thesis as work-for-hire?