How can I fix a problem where italics prevent line breaking when using microtype?
LuaLaTeX protrusion problem with Negative value
View approximate number of users online Is there any way to view the number of users online at any given time (or even an approximation)?  This could be really useful to provide an indication of whether your question is likely to get answered any time soon.  It could also provide a bit of an indication for why your question is getting very low views - if there are only a few users online, then that could be the reason for little interest in a question, whereas if there are lots of users online and the question still doesn't garner many views, then maybe it needs to be rephrased or something.  I know that this can't be used definitively, but it could be used as a rough guide, and could also just be an item of interest.  Perhaps it could show the number of users that have been seen in the past 5 / 10 minutes? (Shouldn't be too hard, since each user page already shows the last time that they were seen). Characteristic polynomial of companion matrix Show that a set is dense in $[-1,1]$ Show that $\{\cos\ n:n \in \mathbb{N}\}$ is dense in $[-1,1]$ by using the fact below:      Suppose $x$ is irrational. Then there exists $p_n,q_n \in \mathbb{Z}$   such that $\bigg|x -\frac{p_n}{q_n}\bigg| &lt; \frac{1}{q_n^2}$   I have no idea on how to apply the fact above to show the set is dense in $[-1,1]$. Can anyone help me? Calculate distance of galaxy 13 billion years ago How can I calculate the distance of a point from Earth now vs 13 billion years ago? The excerpt below claims it is 8 times further now. Can someone provide relevant equations ? Inequality $\sum\limits_{1\le k\le n}\frac{\sin kx}{k}\ge 0$ (Fejer-Jackson) Show the following inequality for any $x\in [0, \pi]$ and $n\in \mathbb{N}^*$, $$ \sum_{1\le k\le n}\frac{\sin kx}{k}\ge 0. $$  I have this question a very long time ago from a book or magazine but I cannot solve it by myself and did not know how to solve it until today.   My try: for $n=1, 2, 3$, one can check this by hand. Converting time field omitting time and returning null values? I have a time field in my shapefile that is formatted as HH:mm:ss.s It is a text field, and I want to convert it to a date so I can calculate time elapsed across rows (if there's a better way to do this let me know). Basically, each row is a point on a route, and I want to use the time field to calculate the amount of time elapsed between the first and last points on the route.   I tried using the convert time field tool, setting the input format as HH:mm:ss.s, and the output type as DATE. The output field however only shows values of 01/01/2001 for some rows and  for other rows.   time is the input field and time_c is the output field  I'm not sure what's going wrong here, here is what shows up in the geoprocessing results window:    I tried adding the date data to the field as well to make the format yyyy-MM-dd HH:mm:ss.s, but it still didn't work: In how many inequivalent ways can 8 people be seated at a round table? How many different arrangements are there of eight people seated at a round table, where two arrangements are considered the same if one can be obtained from the other by a rotation? Can anyone explain IEnumerable and IEnumerator to me? Can anyone explain IEnumerable and IEnumerator to me? For example, when to use it over foreach? what's the difference between IEnumerable and IEnumerator? Why do we need to use it? Why so many files in /usr/share/app-install/desktop? For 14.04, I'm trying out Lubuntu LTS.  If I run ls -l /usr/share/app-install/desktop, I get a list of 3085 .desktop files. All except one are dated Apr 18. The exception is:  -rw-r--r-- 1 root root  6328 Mar 28  2013 applications.menu   From the dates, it's clear that all these are installed by default and not by me.   Doesn't each GUI-based program bring in its own .desktop file at the time it's installed (mostly in /usr/share/applications)? Then why are these thousands of other .desktop files needed? From their names, most of them haven't anything to do with Lubuntu. Their names are different from regular .desktop files (such as those in /usr/share/applications): many, not all, are like name:name.desktop whereas the regular ones are just name.desktop. The ones I looked at all have a line with X-AppInstall-Popcon=nnn where nnn is a string of digits. I know that Popcon "gathers statistics determining which packages are the most popular with Ubuntu users". But why is that part of these .desktop files? Lyircs of Free by Natalia Kills:     I'm free      I just spent all my money       but I rocked that like it don't cost a thing   Shouldn't it be "I've just spent all my money"? As far as I remember, our English told us to use Present Prefect in such case because of the just. I was asked this question in an interview.  Lets say we have a correlation matrix of the form \begin{bmatrix}1&amp;0.6&amp;0.8\\0.6&amp;1&amp;\gamma\\0.8&amp;\gamma&amp;1\end{bmatrix}  I was asked to find the value of gamma, given this correlation matrix. I thought I could do something with the eigenvalues, since they should be all greater than or equal to 0.(Matrix should be positive semidefinite) - but I don't think this approach will yield the answer. I am missing a trick.  Could you please provide a hint to solve for the same? How to get WordPress' hooks/actions run sequence? In what order add_action hooks execute? i.e. init wp_head wp_footer after_theme_setup  etc... ??? ??? ???     EDIT: I've also posted my solution. TexMaker (and TexShop) not working after installation of El Capitan My background and gameobjects are 2d sprites not UI images ,I want to know how to make my background scale with screen size and positions of 2d sprits on it don't change after building game (webGl) like scale canvas with screen size and anchor points in UI elements .  Before building the game   After building Possible Duplicate:             In the itemize environment, how do I use the ampersand symbol &amp; without LaTeX trying to use it as a command? I have backups up everything, but I'm still uneasy about the process and would like confirmation. I'd rather do this one time correctly. I want to shrink /dev/sda6/ by 200GB and reallocate it to /dev/sda2. I boot a LiveCD and turn off LinuxSwap (locked otherwise). I've been reading that it is very hard to move &quot;left&quot; when partitioning and other AskUbuntu threads are confusing me. Do I need to resize /dev/sda6 by 200GB &quot;preceding&quot; (rather than &quot;following&quot;), and then resize /dev/sda4 by 200GB? A little guidance would ease my nerves of messing everything up. Thank you ahead of time. I've a set of regions within a city. I'd like to split each region into five subregions and then get the centroid of each one of them.  I know how to make a vector grid, but the problem I have is that the generated points are not taking into account the regions, they're only related to the general map.  I have this:    And I want to split each region in five equal size areas. Something like this:    I'd like to build a visualization similar to this one: . In order to accomplish that, I need to split each region, because the original ones are pretty big. Convert Month Number to Month Name Function in SQL What are the pros and cons of adding a vapor barrier behind shower backer board? After much research, I have a lot of conflicting advise about the need to add a vapor barrier before installing the backer (hardy / cement) board for my bathroom shower. The &quot;expert&quot; at Home Depot, and  seem to think this is a very good idea, and even suggest sealing it with roofing tape.  (The guy on Youtube tapes it directly to the sill of tub.) However, when I asked about the tape and how far down I should go at Lowes, they told me they'd never hear of anyone doing that, and that it didn't seem like a good idea.   Likewise,  putting down caulking on the sill before applying the backer board, and then again after before adding tile, and then caulking a 3rd time under the tiles before grouting. Should I add a vapor barrier between the frame and the cement board?  Why or why not? What is an example of Gâteaux differentiable but not Fréchet differentiable at a point in a finite-dimensional space? Let $V,W$ be nonzero normed spaces over $\mathbb{K}$ such that $V$ is finite-dimensional.  Let $E$ open in $\mathbb{K}$ and $p\in E$.  Let $f:E\rightarrow W$ be Gâteaux-differentiable at $p$.  Is $f$ necessarily Fréchet-differentiable at $p$ in this case?  I think this is not true in general, but cannot find a counterexample. What would be a counterexample?