I've noticed that the quality of pictures on my DSLR is considerably higher than the quality of video. This got me thinking that if one could continuously shoot at high FPS, it should be possible to shoot "videos" of extremely high quality. Obviously you'd need to capture the sound separately, but it shouldn't be a problem. However my own cheap camera can do a 10-shot burst at most and as far as I know most DSLRs have similar restriction.  Is there a DSLR on the market which can do high-speed bursts for an unlimited (or considerable) amount of time?
Why do high resolution cameras shoot stills at high resolutions, but only typically shoot video at 1080p which is about 2 megapixels?  For example I have a Sony-NEX 6 which can shoot stills at 16 megapixels but only 1080p by 1920p video.  Also how do digital cameras separate the frames in video if the lens shutter never closes?  And if you can shoot video at 30 fps or 60 fps then why can't cameras have a continuous drives at 30 to 60 fps?
Why two objects get charged by rubbing? I was surprised to find that standalone package can not compile a document with an equation:  \documentclass{standalone} \begin{document} \begin{equation} % not working! F(V, T) = E(V) + D(T) \end{equation} \end{document}   Is there an option or some workaround that allows this? The current error is something like:   ! Missing $ inserted.   in line 4. (The idea of course is that the including (main) document can just \input the standalone without knowing if is going to be an equation or something else) how to get the original entity on hook_entity_presave? i actually need it for the content_moderation_state entity   function hook_entity_presave(Drupal\Core\Entity\EntityInterface $entity) { if ($entity-&gt;getEntityTypeId() !== 'content_moderation_state' ) {     return; }     $moderation_state = $entity-&gt;get('moderation_state')-&gt;getString();   //code to get the original entity moderation state How do I prove the sequence $x_{n+1}=\sqrt{\alpha +x_n}$, with $x_0=\sqrt \alpha$ converges? ( boundedness?) Remove the shortcut of an application that was installed using Wine from the Unity Dash How do I remove an application shortcut from the Unity Dash (not from the Unity Launcher)?  My specific issue is I tried to install a game using Wine a while ago. I then uninstalled the game, then uninstalled Wine. Today I found that shortcuts to the game (and other related content that came with it) remain when I push Super and type the game name. (Wine is not visible though.) My question is pretty simple.  Since $n! \gt n!!$, it's clear by the comparison test that $\sum_{n=0}^\infty \frac {1}{n!!}$ converges.      But what value does the sum converge to? How does one go about determining its value (if possible)? Can I exclude spam domains from my search results? Sometimes when I search for something, there are plenty of links to sites with no content (those who only have the premade templates which the search terms), spammers, and leechers (as in copying content from other sites, like B r o t h e r s o f t who leeches on SoftPedia.com).  How come they have such a high ranking without any original content (furthermore, why are they not simply banned from the results)?  And also, is there some way of filtering them out? Like for example completely exclude a domain from search results? How is Google Scholar compared to other academic search engines and catalogues such as ScienceDirect, Scopus, and universities' own online catalogues--in terms of the following?   comprehensiveness of search (i.e. can fetch all the ever published relevant titles, whether the user have access to full-texts or not) accuracy and precision of results advanced search features usability  Are there good reasons for (or against) using Google Scholar as the only literature search tool for PhD research? Does the answer of (2) depend on the research discipline? Is time dilation an illusion? What is the definition of a timelike and spacelike singularity? Consequence of the Hahn-Banach Theorem From wikipedia's page on the Hahn-Banach Theorem:  If $V$ is a normed vector space with linear subspace $U$ (not necessarily closed) and if $z$ is an element of $V$ not in the closure of $U$, then there exists a continuous linear map $ψ : V → K$ with $ψ(x) = 0$ for all $x$ in $U$, $ψ(z) = 1$, and $||ψ|| = dist(z, U)^{−1}.$  How is this a consequence of the Hahn-Banach Theorem? Puzzle: Find largest rectangle (maximal rectangle problem) Compute the mean of $(1 + X)^{-1}$ where $X$ is Poisson$(\lambda)$ Question  Let $X$ be Poisson with parameter $\lambda$.  Compute the mean of $(1 + X)^{-1}$. (Introduction to Probability Theory, Hoel, pp. 104)  Answer Key  The answer key shows that the mean is $\lambda^{-1}(1 - e^{-\lambda})$  My Solution  $$E(1 + X)^{-1} = \sum\limits_{j = 1}^\infty (1 + j)^{-1} \dfrac{\lambda^{(1 + j)^{-1}}e^{-\lambda}}{(1 + j)^{-1}!}$$ $$= e^{-\lambda} \sum\limits_{j = 1}^\infty \dfrac{\lambda^{(1 + j)^{-1}}}{((1 + j)^{-1} - 1)!}$$ $$= \lambda^{-1} e^{-\lambda} \sum\limits_{j = 1}^\infty \dfrac{\lambda^{(1 + j)^{-1} - 1}}{((1 + j)^{-1} - 1)!}$$ $$= \lambda^{-1} e^{-\lambda}(e^{\lambda} - 1)$$ $$= \lambda^{-1}(1 - e^{-\lambda})$$  EDIT: I found why I got the answer incorrect.  Thanks for those who answer the question! :) What attracted Padmé to Anakin? How to do a Point to Polygon analysis with multiple variables in QGIS? I have a database of almost 10k crimes, which are divided in to 10 categories and plotted on a map  I also have a database of 12k addresses, which are also plotted on the map.   I aim to perform a multiple regression to determine whether there are correlations between types of crime and house price.  I have created a buffer of 250 meters around each of the addresses, and would like to list a count of each of the crimes which are located within this buffered zone for each of the addresses, however, I can only get QGIS to give me a count of all types of crime, rather than the specifics.   Does anyone know how to do a point to polygon analysis of this type? I am in the middle of breaking the crime databases to analyse each one separately, which is a bit difficult! Completely uninstall an app on Lollipop I am having a problem with uninstalling apps on Android 5.0 (Nexus 5). I am developing an Android app, so I debug/run the app directly on my device. For production, I exported the same app with my keystore, uninstalled the debug APK that I ran earlier, tried to install the signed APK, and I got this error:      An existing package by the same name with a conflicting signature is already installed.   Is it because the bytecodes are still in the ART runtime? Anyone has any idea how to solve this? Prove that any two consecutive terms of the Fibonacci sequence are relatively prime Prove that any two consecutive terms of the Fibonacci sequence are relatively prime.   My attempt:    We have $f_1 = 1, f_2 = 1, f_3 = 2, \dots$, so obviously $\gcd(f_1, f_2) = 1$. Suppose that $\gcd(f_n, f_{n+1}) = 1$; we will show that $\gcd(f_{n+1}, f_{n+2}) = 1$. Consider $\gcd(f_{n+1}, f_{n+2}) = \gcd(f_{n+1}, f_{n+1} + f_n)$ because $f_{n+2} = f_{n+1} + f_n.$ Then $\gcd(f_{n+1}, f_{n+1} + f_n) = \gcd(f_{n+1}, f_{n}) = 1$ (gcd property).  Hence, $\gcd(f_n, f_{n+1}) = 1$ for all $n &gt; 0$.  Am I on the right track? Any feedback would be greatly appreciated.  Thanks, Passing functions to setTimeout in a loop: always the last value? Does an unplugged hard drive used for data archival deteriorate? If I were to archive data on a hard drive, unplug it, and set it on a (not dusty, temperature-controlled) shelf somewhere, would that drive deteriorate much?  How does the data retention of an unplugged hard drive compare to tapes? I'm currently working on some logging code that supposed to - among other things - print information about the calling function. This should be relatively easy, standard C++ has a type_info class. This contains the name of the typeid'd class/function/etc. but it's mangled. It's not very useful. I.e. typeid(std::vector&lt;int&gt;).name() returns St6vectorIiSaIiEE.  Is there a way to produce something useful from this? Like std::vector&lt;int&gt; for the above example. If it only works for non-template classes, that's fine too.  The solution should work for gcc, but it would be better if I could port it. It's for logging so it's not so important that it can't be turned off, but it should be helpful for debugging.