Why non-template classes should be separated in header and source files?
Why have header files and .cpp files?
Align multiple numbered aligned blocks There are many discussions over how to align multiple align environments with interspersed texts. However, I want to label multiple aligned blocks such that each number will center vertically for each aligned blocks and at the same time align across blocks.  Here is a MWE that achieves either at one time. The first part simply uses one giant align environment with some \nonumber directive. The second one use equation to wrap aligned but lose alignment info. How should I achieve the best of both worlds?  \documentclass{article} \usepackage{amsmath} \begin{document}   % Part I   \begin{align}           x^2 + y^2 &amp;= 1 \\                 z^2 &amp;= 0 \nonumber \\     x^2 + y^2 + z^2 &amp;= 1   \end{align}    % Part II   \begin{equation}     \begin{aligned}       x^2 + y^2 &amp;= 1 \\             z^2 &amp;= 0 \\     \end{aligned}   \end{equation}   \begin{equation}     \begin{aligned}       x^2 + y^2 + z^2 &amp;= 1     \end{aligned}   \end{equation} \end{document} How do I tell what version and edition of Windows is on the filesystem? Mathematical precise definition of a PDE being elliptic, parabolic or hyperbolic what is the general definition for some partial differential equation being called elliptic, parabolic or hyperbolic - in particular, if the PDE is nonlinear and above second-order.  So far, I have not found any precise definition in literature. Is a "split plot" ANOVA with two factors the same as two-way ANOVA with repeated measures in one factor? Is a "split plot" ANOVA with two factors identical to two-way ANOVA with repeated measures in one factor? if not, what is the distinction? Are there any performance comparisons? Are there any reliable performance comparisons between vanilla Drupal 8 versus Drupal 7?  I have searched the web but only find the post "", which is far from encouraging. Topological Circuit Simulator Does something like  exist for topological (eg. braided) circuits?   Alternatively, any ideas on how @ is getting  (or something similar)? In my experience, input type="text" onchange event usually occurs only after you leave (blur) the control.  Is there a way to force browser to trigger onchange every time textfield content changes? If not, what is the most elegant way to track this “manually”?  Using onkey* events is not reliable, since you can right-click the field and choose Paste, and this will change the field without any keyboard input.  Is setTimeout the only way?.. Ugly :-) I am trying to find the splitting field of $x^6+x^3+1$ over $\mathbb{Q}$.  Finding the roots of the polynomial is easy (substituting $x^3=t$ , finding the two roots of the polynomial in $t$ and then taking a 3-rd root from each one). The roots can be seen  [if there is a more elegant way of finding the roots it will be nice to hear]  Is is true the that the splitting field is $\mathbb{Q}((-1)^\frac{1}{9})$ ? I think so from the way the roots look, but I am unsure.  Also, I am having trouble finding the minimal polynomial of $(-1)^\frac{1}{9}$, it seems that it would be a polynomial of degree 9, but of course the degree can't be more than 6...can someone please help with this ? In Captain America: Civil War, T'Challa takes the mantle of the Black Panther after his father is killed. As the Black Panther, he appears to have enhanced abilities.  In , the Russos talk about T'Challa having superpowers and being enhanced during Civil War     JOE: It can absorb the energy, so it’s much harder to damage him as a character, and you can see that in the movie he can take a lot of punishment including bullets to the face. He is very well trained. He’s from one of the wealthiest countries on the planet, so there’s great infrastructure there; very technologically advanced country. So he’s been trained at the highest levels to fight, but he also has his own superpowers, which derive from the mythology of his nation. Those will be explored more in Black Panther, it’s clearly evident when he’s able to fight the Winter Soldier out of costume, and go toe-to-toe with him, that he is an enhanced individual.    In Black Panther, we see that in order to become the Black Panther,       one must imbibe juice from the heart-shaped flower and visit the spirit plane after being buried.   But before this,       T'Challa must have his Black Panther powers removed prior to the ritual combat challenge, which he does twice in the film.   This raises the question of how T'Challa could have possibly become the Black Panther abroad - or if he even really had.  How did Black Panther have his powers during Civil War? According to ,  The collection of all algebraic objects of a given type will usually be a proper class. Examples include the class of all groups, the class of all vector spaces, and many others. In category theory, a category whose collection of objects forms a proper class (or whose collection of morphisms forms a proper class) is called a large category.  I am aware of Russell's Paradox, which explains why not everything is a set, but how can we show the collection of all groups is a proper class? Setting Blend Width on Mosaic Dataset using ArcMap has been solved, in XeTeX, by this code:  \def\kright#1{\leavevmode #1\kern-\XeTeXglyphbounds3 \the\XeTeXcharglyph`#1 } \def\kleft#1{\leavevmode \kern-\XeTeXglyphbounds1 \the\XeTeXcharglyph`#1 #1}   which allows me to align text more precisely to the ink by accessing the side-bearing measurements (\XeTeXglyphbounds1 and 3).  This XeTeX dependency is currently the only thing stopping me from moving to LuaTeX (mainly for microtype). Is an equivalent function available in LuaTeX, or planned?    After reading a bit more on microtype, could the equivalent effect be achieved by an appropriately-tailored set of character protrusions? That way, my move to LuaTeX might be a lot simpler. How is Clan War Map position determined? "She need not worry" or "she needs to not worry"? I just came across this weird use of &quot;need not&quot; on :  Madam/sir, My daughter is stuck in Uk . She has lost her  . She is difficult to return back India home [sic]. Please help  In response,  says:  She need not worry. She should stay where she is. Just tell her to keep herself safe. Please delete your tweet.  Shouldn't it be &quot;she doesn't need to worry&quot; or &quot;she needs to not worry&quot; given that the subject is &quot;she&quot; (singular)? Or is this some kind of grammatical construction I don't know? I believe who wrote it was a native speaker of English and they might be correct. Can someone explain this please? notify-send not working under ssh I have received an .rar which I wish to unpack as it contains something rather important to me that I need to really have now. However even though I can view the contents of the .rar archive in the Archive Manager, I am unable to extract it due to this error:    The archive should contain two folders within it, each though contain at least 10 audio files as well as a PDF file each (I don't know what the contents exactly should be except for there should be audio files in there, and the content I have described is what I can see from the Archive Manager's view). So the only thing I am left with except the error is one of the folders and one of the audio files, but it says it has 0 bytes in it.  So how exactly do I fix this problem? I am running Ubuntu GNOME 16.04.1 with GNOME 3.20.  Information Update:  In reply to a comment requesting the output from the dpkg -l unrar unrar-free command:  Desired=Unknown/Install/Remove/Purge/Hold | Status=Not/Inst/Conf-files/Unpacked/halF-conf/Half-inst/trig-aWait/Trig-pend |/ Err?=(none)/Reinst-required (Status,Err: uppercase=bad) ||/ Name           Version      Architecture Description +++-==============-============-============-================================= un  unrar          &lt;none&gt;       &lt;none&gt;       (no description available) dpkg-query: no packages found matching unrar-free Find $\,\lim_{x\to 1}\frac{\sqrt[n]{x}-1}{\sqrt[m]{x}-1}$ I am trying to prove that all vector spaces can be written as the direct sum of two subspaces.  My attempt: If each vector in vector space V can be uniquely written as the sum of two other vectors in V, the two vectors can be categorized into subspaces and thus V can be written as the direct sum of these subspaces. I am not sure how to show that this is true for all cases though. Edit Sorry for the confusion,to clarify I meantGiven a vector space V with a subspace W, prove that there exists a subspace W' such that the direct sum of W and W' is V.I am not sure about my proof method at all. Thank you. Is there a limit as to how fast a black hole can grow? Is there any possibility to find my father's lost iPhone? My father has lost his iPhone 6 which was not signed in using an iCloud account. Is there any possibility it can be found?