Anti matter of gravity
Why would Antimatter behave differently via Gravity?
How prove this nice limit $\lim\limits_{n\to\infty}\frac{a_{n}}{n}=\frac{12}{\log{432}}$ Nice problem:  Let $a_{0}=1$ and $$a_{n}=a_{\left\lfloor n/2\right\rfloor}+a_{\left\lfloor n/3 \right\rfloor}+a_{\left\lfloor n/6\right\rfloor}.$$  Show that  $$\lim_{n\to\infty}\dfrac{a_{n}}{n}=\dfrac{12}{\log{432}},$$  where $\lfloor x \rfloor$ is the largest integer not greater than $x$.  It is said this problem was created by Paul Erdős, and I can't find this problem's solution, does anyone have any nice methods? Thank you. How can I tell if two pictures were taken with the same camera without metadata? Is it possible to identify images (without exif data) and link them to the exact same camera? If so, I'd like some software recommendations to get the job done.  I have two photos that I'd like to compare whether they were taken with the same camera or not. They both seem to lack EXIF data but I am sure I've heard of other hidden fingerprints to be found within the images.  For instance, sensor noise should be rather consistent if the photos were taken with the same camera, pretty much like firing a handgun and the bullet gets unique marks. I've also heard that the camera manufacturers sometimes add a hidden watermark which can be read with some special software. How do I escape a percentage sign in T-SQL? Prove that $\sqrt{n} \le \sum_{k=1}^n \frac{1}{\sqrt{k}} \le 2 \sqrt{n} - 1$ is true for $n \in \mathbb{N}^{\ge 1}$ I found this very amusing comic on the internet the other day:   The last frame seems to claim that the harmonic series converges if you throw out all the terms with a $9$ in the denominator. Is this true? Where could I find a proof? Is it only true for terms with a $9$ or is it true for any number? If it's only true for $9$, why is that? Can I board if my flight arrives 1.5 hours before my UK visa becomes valid? My visa to UK is valid starting from June 25 but my flight to LGW is June 24 10:30 PM (edit: this is landing time not departure based on VCE-LGW flight times presented by easyjet.com). I still have 1.5 hours until my visa becomes valid. I prefer not to change my flight because I don't want to pay extra charges.   Will the EasyJet airlines going to allow me on board? I will be coming from Venice. How long does it take from landing to Immigration in London Gatwick? Can I stay longer in the airport before I pass through Immigration? Can I still see my luggage in the conveyor belt after 1.5 hours? How much time before they take away my luggage from the belt? How is Gauss' Law (integral form) arrived at from Coulomb's Law, and how is the differential form arrived at from that? On a similar note: when using Gauss' Law, do you even begin with Coulomb's law, or does one take it as given that flux is the surface integral of the Electric field in the direction of the normal to the surface at a point? I am trying to perform a multiple regression in R. However, my dependent variable has the following plot:    Here is a scatterplot matrix with all my variables (WAR is the dependent variable):    I know that I need to perform a transformation on this variable (and possibly the independent variables?) but I am not sure of the exact transformation required. Can someone point me in the right direction? I am happy to provide any additional information about the relationship between the independent and dependent variables.  The diagnostic graphics from my regression look as follows:    EDIT  After transforming the dependent and independent variables using Yeo-Johnson transformations, the diagnostic plots look like this:    If I use a GLM with a log-link, the diagnostic graphics are: Why can't polynomials have negative exponents or division by a variable Why can't:  $$2x^{-3} - 3x$$  or  $$\frac{1}{2x}$$  be polynomials too?  Why have a definition that excludes these algebraic forms? yesterday I installed Ubuntu 13.10, and since I rebooted my laptop, there is a user account called Light Display Manager as available option on my login screen.  A password is needed for login, but I don't know it, although I tried some.  Because of some answers I modified with sudo power one file as follows (added lightdm):  cat /etc/lightdm/users.conf  # # User accounts configuration # # NOTE: If you have AccountsService installed on your system, then LightDM will # use this instead and these settings will be ignored # # minimum-uid = Minimum UID required to be shown in greeter # hidden-users = Users that are not shown to the user # hidden-shells = Shells that indicate a user cannot login # [UserAccounts] minimum-uid=500 hidden-users=nobody nobody4 noaccess lightdm hidden-shells=/bin/false /usr/sbin/nologin   → But it didn't changed anything!  What is this? Why is this there? How can I remove (if it's unnecessary)? Thanks in advance for an answer! Publishing a conference version of a journal paper at the same time ? (copyright issues) Community isn't on ~15 sites! I was looking at the Community user's profile, and I noticed that there was about 15 sites missing in the "accounts" tab. There's a little over 120 sites on SE, and, there's about 15 sites missing from this count. Why is this happening?    Additionally, clicking on view more just shows one account, on Area51: What is the maximum height a settlement can reach in Fallout 4? See title. Obviously the maximum base is determined by the perimeter, but the maximum height is not specified. How to keep a constant baselineskip when using minipages (or \parboxes)? When a minipage is used to box a text paragraph, the first line of the minipaged text and the last line of the previous text paragraph are closer than two consecutive lines in a standard text paragraph; analogously, the last line of text inside the minipage and the first line of text after the minipage are also closer.  The following MWE illustrates this:  \documentclass{article} \usepackage{lipsum}  \newcommand\Text{Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Ut purus elit, vestibulum ut, placerat ac, adipiscing vitae, felis. Curabitur dictum gravida mauris. Nam arcu libero, nonummy eget, consectetuer id, vulputate a, magna.\textbullet}  \begin{document}  \Text  \noindent\begin{minipage}{\linewidth} \Text \end{minipage}  \Text  \end{document}   How can I guarantee a constant baseline-skip even if minipages (or \parboxes) are used? Is it possible to play an animation in the viewport at a slow framerate?  Just because of the rather heavy scene it's already going at about 8 fps, but I would like to be able to play it even slower (an in a controlled manner) for the purpose of recording an animation with automatic keyframes. Adding a Method to an Existing Object Instance How do I move the MySQL data directory? I am trying to move the data directory of my MySQL database to a second disk array that I have as a mount point /array2/.  The problem I am having is I have tried everything and after I modify the location of datadir in my.cnf mysql will not start up again.  All I get is:  start: Job failed to start Includepdf causes an error message from pgfplots externalization I have a file test.pdf which I include in a document containing also an externalized pgfplots picture.  When I compile the following code, I get the error message Sorry, the system call pdflatex ... did NOT result in a usable file.  In order to make my code work, I first need to remove the includepdf statement, compile (to create the externalized figures) and then compile again with the includepdf statement.  I suppose that it is a bug, or is there any possibility to solve it ?  Of course, the file test.pdf is totally independent from the externalized pictures from pgfplots.  \documentclass{scrbook}   \usepackage{pgfplots}  \pgfplotsset{compat=1.8}  \usepgfplotslibrary[external]  \tikzexternalize[shell escape=-enable-write18]  \usepackage{pdfpages}   \begin{document} \includepdf{report_test-figure44}   \begin{tikzpicture}  \begin{axis}[  xlabel=Cost, ylabel=Error]  \addplot[color=red,mark=x] coordinates {  (2,-2.8559703) (3,-3.5301677) }; \end{axis}  \end{tikzpicture}   \end{document} Clickable Table Footnote I'm trying to have some clickable footnotes within tables. I tried using \footnote{}, it does create a link but there's no footnote text associated with it. \footnotemark[number] along with \footnotetext[]{} does create a fotenote but then there's no hyperlink. (I would like to make it clear that I'm trying to have footnotes at the bottom of the page and not footnotes within the table.)  Here's a small code snippet:  \documentclass{report}  \usepackage{hyperref} \begin{document}  \begin{table}[h!]     \centering     \begin{tabular}{|r|r|r|}         \hline         A\footnote{Test!} &amp; B\footnotemark[4] &amp; C\footnotemark[5]\\         \hline         123 &amp; Tim &amp; Jane\\         \hline         456 &amp; Tom &amp; Jung\\         \hline     \end{tabular}     \caption{A table} \end{table}  This is a clickable footnote\footnote{You clicked me!}.  \footnotetext[4]{This is B} \footnotetext[5]{This is C}  \end{document} Firstly, how do you gain the score exactly? I know it shows in the bar on the side of the map, but I remember a match where I was lone-wolfing and still got a pretty high score in that bar. I suppose my other squad members were together, but do I also gain for their work?  Also, does the score reset when I start a new game? I mean, I play support with the Offensive perk and it took me a long game of conquest to just unlock lvl-3 extra grenade. In the next match, that 'nade is gone. Don't I keep it forever?