Does Hexblade's Curse extra damage affect every die rolled?
If I roll 2d8 and 1d6 for damage, how many "damage rolls" is that? 1, 2, or 3?
How to show $x_1,x_2, \dots ,x_n \geq 0 $ and $ x_1 + x_2 + \dots + x_n \leq \frac{1}{2} \implies (1-x_1)(1-x_2) \cdots (1-x_n) \geq \frac{1}{2}$ How to show  $x_1,x_2, \dots ,x_n \geq 0 $ and $ x_1 + x_2 + \dots + x_n \leq \frac{1}{2} \implies (1-x_1)(1-x_2) \cdots (1-x_n) \geq \frac{1}{2}$ Can I have a mathematical equation within a caption? I'd like to have an eqnarray environment (or equivalent) within a table caption. If I do this naively,  \begin{table*}   % table stuff   \caption{\label{tab:my_tab}     \begin{eqnarray}       a &amp;=&amp; b \\ c &amp;=&amp; d     \end{eqnarray}   } \end{table*}   LaTeX falls over with LaTeX Error: \begin{table*} ended by \end{eqnarray}. How can I get what I want (I don't mind no equation numbers)? How to prove that minimum of two exponential random variables is another exponential random variable? How can I prove that the minimum of two exponential random variables is another exponential random variable, i.e. Z = min(X,Y) Why does the checkbox stay checked when reloading the page? Exclude a view from master layout? How can I specify the default save directory for gnome-screenshot? Are there any sort of configuration options for specifying the default save location for gnome-screenshot, or is this hard-coded into the source code? It used to be ~/Desktop, which seems to have changed to ~/Pictures (in 12.04). The only possible solution I've seen is about  (as it includes time stamp information now instead of simply 'Screenshot#'), but that solution doesn't really seem ideal to me. Also,  post suggested that the last save location is remembered the next time you take a screenshot, but in my experience, this doesn't seem to be the case. And in any case, following on from that, that entry in gconf-editor doesn't even seem to accurately reflect the last location, so more than likely an entry related to an older version of gnome-screenshot. Table of contents: Special Relativity - Regarding the Simultaneity of Events During the Train Paradox My questions concerns that classic train paradox, wherein there is a train and a tunnel of equal length, and the train is traveling and some fraction of the speed of light towards the tunnel.  According to the Special Theory of Relativity, an observer outside the tunnel will see the train length contracted (Lorentz Contraction), whereas an observer inside will see the tunnel contracted.   Additionally, suppose that there were doors at the ends of the tunnel and that the observer outside the tunnel closed both doors instantaneously when he/she saw that the train was completely inside the tunnel.  The classic resolution of this paradox invokes the non-simultaneity of events, explaining that the observer in the train sees the far door close first, and then, once the train has begun to exit the tunnel, looks back to see the door at the beginning close. Thus, both observers agree that the train does not touch the door when they are closed for an instant.  Now my questions.  Why is it that the observer on the train sees the far door close first? It seems to me that the information coming from the far door would reach the observer on the train only after the information from the other door is reach.   Under this interpretation, the observer on the train would observe the train getting hit by the doors. What if, by some means, this event can be explained in terms of a stationary observer too? Everyone always concludes that the train remains untouched by the doors, but really the only condition that needs to be met is that both observers must agree. Why can't they both agree that the train was hit?  So, to summarize.   Why is the door that is farther away from the train observed to close first? Why can't the other possible conclusion (both see a hit train) be observed? How to implement custom icons for my script/addon? If M+N and M$\cap$N are finitely generated modules, so are M and N. How can I modify the advanced search form when my hook runs too early? I'm using  to modify the content of the form on the search page &mdash; I want to remove the "phrase" and "not" fields, and restrict the "only of the types" checkboxes to a hand selected list of types.  I have the following code, which is being called and which I think should work:  function MYMODULE_form_search_form_alter(&amp;$form, &amp;$form_state, $form_id) {     unset($form['basic']);     unset($form['advanced']['keywords']['phrase']);     unset($form['advanced']['keywords']['negative']);     unset($form['advanced']['type']);     $form['advanced']['type'] = array(         '#type' =&gt; 'checkboxes',         '#title' =&gt; t('Only of the type(s)'),         '#options' =&gt; array(             'blog' =&gt; 'Blog entry',             'event' =&gt; 'Event',             'news' =&gt; 'News article'         )     );     // print_r($form);     // die; }   Except  gets to the search form after my form alter hook runs, so I don't get a chance to modify any of the form elements that it's adding.  I'm running Drupal 7.22.  How can I modify the advanced search form when my module hook runs before the hook that defines the advanced search form? Who was flying the Y-Wing when the Death Star exploded? Near the end of Star Wars IV: A New Hope, we see four spacecraft flying from the Death Star just moments before it explodes.     As you can see, there is the Millennium Falcon crewed by Han and Chewbacca, a pair of X-Wings which has to be Luke and Wedge, and then in the bottom corner, we see a Y-Wing. Who is this pilot and did he have any screen time to justify him actually existing in this moment? For as far as I can tell during the first trench runs, they were conducted by the Y-Wings and all of them seemed to have been destroyed during their run. So as I asked, who is flying this ship and how did survive to this moment? How can I change (or remove / reset ) my name on a site in Stack Exchange network? Absolute Value Symbols What is the "best LaTeX practices" for writing absolute value symbols?  Are there any packages which provide good methods?  Some options include |x| and \mid x \mid, but I'm not sure which is best... Find all the values of $w$ ∈ C that satisfy the equation. I accidentally posted a question without being logged in. Is there a way to associate that question with my account?   For more information, visit &quot;&quot; in the .   a.k.a. How can you link a registered account to a cookie-based account? a.k.a. How do I merge an unregistered account with a registered account a.k.a. Merging users a.k.a. How do I associate anonymous questions I’ve asked with my registered account? a.k.a. Is there a way to claim an unregistered user? (in case anyone searches with those terms) My university's thesis guidelines require that each bibliographic entry appear in whole on a single page, rather than being split across two. How can I prevent (La)TeX breaking a paragraph across a page boundary? Boot drops to a (initramfs) prompts/busybox I am running an HP pavilion dv6000 dual boot win7 and Ubuntu 12.04. (well, up until today).  After a reboot, the boot process drops to the BusyBox shell and I end up at the prompt:  BusyBox v1.18.5 (Ubuntu 1:1.18.5-1ubuntu4) built-in shell (ash) Enter 'help' for a list of built-in commands.  (initramfs)   I've been researching others who have had this same problem, but haven't been able to find any of those solutions to work for me.  I tried the method described , and after the final command   mount -t ntfs-3g /dev/sda1 /root -o force   it does nothing and gives me another (initramfs) prompt.  I can boot to a live CD (USB) and get to a terminal, but it doesn't seem to do much good, as I can see the /dev/sda1 in the ls command, but it doesn't recognize it when I try to cd to it.  One more question: using the command fdisk -l how can I tell which mount point (sda1/sda2) is my windows partition and which one is Ubuntu? Suppose that $f$ is analytic on a close curve γ. Prove or disprove $\int_\gamma \overline{f(z)}f'(z)dz$ is purely imagine. Suppose that $f$ is analytic on a close curve γ. Prove or disprove   $$\int_\gamma \overline{f(z)}f'(z)dz$$  is purely imagine.  I know that $f$ is analytic on a close curve, then   $$\int_\gamma f(z) dz=0$$  I tried an example with $\gamma =e^{it}$ with $0\leq t\leq 2\pi$, I often get the real part of the integral equal zero.  I tried let $f=u+iv$ so $f'=u_x+iv_x$. Since $f=u+iv$, $\overline{f}=u-iv$  $$\overline{f(z)}f'(z)=uu_x+vv_x+i(uv_x-vu_x)$$  But this doesn't get me anywhere. Any help would be greatly appreciated. I got this $$ f=a(x-1)(x-2)...(x-101) $$ knowing a and that $1 ,2 \ldots ,101$ are it's roots ... I need the roots of $f'$ , how should I do it ? More specifc how can I derivate a polynomial like that, is there a formula or something ? Occasionally, I get part of an application lingering behind on my desktop:    This is part of a context menu for an application. It is always top-most, meaning that it is always on the screen, and I cannot click on it (it just clicks through it). It has happened before, sometimes with whole windows. It remains on screen even if the application it originated from is no longer running.  How do I get rid of it without rebooting?