This stems from   I re-read the description of Spell Bombardment     When you roll damage for a spell and roll the highest number possible on any of the dice, choose one of those dice, roll it again and add that roll to the damage.   and noticed that the wording is different than other features adding damage dice, which usually say "extra".  Does the Spell Bombardment's die count as damage die? Or it is counted as a modifier, because the wording says "add that roll to the damage"?
At level 18,  get the  feature (PHB, p. 103):     Beginning at 18th level, when you roll damage for a spell and roll the highest number possible on any of the dice, choose one of those dice, roll it again and add that roll to the damage. You can use the feature only once per turn.   When you score a critical hit with an attack (even a spell attack), you double the amount of dice you roll.  Does the additional damage die from Spell Bombardment also get rolled twice on a critical hit?
Show that the Sorgenfrey line does not have a countable basis. Consider $\mathbb R^{[0,1]}$ the space of all functions from $[0,1]$  to $\mathbb R$  and the cylindrical sigma algebra $\mathcal B$  on it. The question is: how to prove that $C[0,1]\notin \mathcal B$. How do I programmatically create a new content type? Indicator Function Here is  an excerpt from "All of Statistics" by Larry Wasserman (page 23):     Given an event A, define the indicator function of A by      $$ I_{A}(\omega)= \color{Red}{I(\omega \in A)} =\begin{cases}  1 &amp;  \text{ if } \omega \in A \\   0 &amp; \text{ if } \omega \notin A   \end{cases} $$   I am not convinced, referring to term colored red, with the notation here. Since this is a widely referred text, I would like to know that whether this is a typo or I am missing something here. I want to install OpenOffice. What can I do to install it on my computer? How do I install the ubuntu-restricted-extras package? The units of $\mathbb Z[\sqrt{2}]$ Change font size of the verbatim environment I want to change the Message-ID header or better yet, discard it. I know everyone is going to ask "Why would you want to do that?" because I know it sounds weird to even write it.  Well I am developing a system that saves an incoming e-mail in EML format, changes it and sends it to the user, at some point the user can request to have the original EML sent to him/her. The issue is that when I re-send the EML it has the same Message-ID header which causes exchange servers to drop the re-send.  Of course I am hoping there is some option through postfix to do this, otherwise I will need to parse and change the EML but I rather not do that.  I tried to do this with "header_checks" and it works BUT I need to be able to do this conditionally, meaning only on a specific occasion, which I can identify by looking at the other headers, I want to remove the Message-ID. Can I achieve a torchlight effect (lighter area around a light source) in a 2D game? I am thinking of writing myself a simple 2D game. It will not shine with perfect graphics or gameplay at first, but I'd consider it my first step in PC game development. So, imagine such simple sprite-based 2D game (like Heroes IV or Startcraft BroodWar).  I want the gameplay to support day/night with the according lighting changes and at the same time it will be madness to have to create sprites for every lighting nuance. So, I decided adding a semi-transparent layer on top of other objects will be enough.   The issue with this solution is if I have a light source object in the game (like the hero wearing a torch, or a burning building), there must be a lighter area around it, right? Since I am putting my semi-transparent layer over everything, how would you suggest to achive the torchligt visual effect I want? Maybe redraw that layer adding 'gaps' or differently colored areas based on the lighting effect? Big tilde in math mode How do I get a really wide tilde?  I need to cover at least  abcdefghijklmnopqrstuvwxyz  The \widetilde command does not work. Nor using \stackrel with \sim. Two-Weapon Fighting & Bonus Actions I have to create a report on some student completions. The students each belong to one client. Here are the tables (simplified for this question).  CREATE TABLE  `clients` (   `clientId` int(10) unsigned NOT NULL auto_increment,   `clientName` varchar(100) NOT NULL default '',   `courseNames` varchar(255) NOT NULL default '' )   The courseNames field holds a comma-delimited string of course names, eg "AB01,AB02,AB03"  CREATE TABLE  `clientenrols` (   `clientEnrolId` int(10) unsigned NOT NULL auto_increment,   `studentId` int(10) unsigned NOT NULL default '0',   `courseId` tinyint(3) unsigned NOT NULL default '0' )   The courseId field here is the index of the course name in the clients.courseNames field. So, if the client's courseNames are "AB01,AB02,AB03", and the courseId of the enrolment is 2, then the student is in AB03.  Is there a way that I can do a single select on these tables that includes the course name? Keep in mind that there will be students from different clients (and hence have different course names, not all of which are sequential,eg: "NW01,NW03")  Basically, if I could split that field and return a single element from the resulting array, that would be what I'm looking for. Here's what I mean in magical pseudocode:  SELECT e.`studentId`, SPLIT(",", c.`courseNames`)[e.`courseId`] FROM ... Let $a=p_1^{x_1}p_2^{x_2}\cdots\cdot p_q^{x_q}$ and $b=p_1^{y_1}p_2^{y_2}\cdots p_r^{x_r}$ ,   say — Since gcd(a,b) is the largest common divisor of a and b and is divisible by any other common divisor of the two,   GCD$(a,b)=p_1^{\min(x_1,y_1)}p_2^{\min (x_2,y_2)} \cdots p_q^{\min (x_q,y_q)}$  LCM$(a,b)= p_1^{\max(x_1,y_1)}p_2^{\max(x_2,y_2)}\cdots p_r^{\max (x_r,y_r)}$  I understand GCD(a,b) has to divide both $a,b$. Therefore the exponent of any prime factor $p_i$ in GCD has to be in both $a,b$  — therefore $p_i^{\min(x_i, y_i)}$. But I'm muddled and anxious. Why does $\min$ appear in GREATEST common divisor? Why does $\max$ appear in LOWEST common multiple? Existence of the moment generating function and variance Can a distribution with finite mean and infinite variance have a moment generating function? What about a distribution with finite mean and finite variance but infinite higher moments? Formula Specific to Running User? I have a requirement where a certain field can be edited without the validations firing for a particular user. Now I tried to write rule like LastModifiedId != '005000000000000AAA' but the validation was still firing. Then I realized that until the record saves, the LastModifiedId does not change and the validations still fire, as the LastModifiedId would not be updated to the exempted User.   Is there any workaround or a way to check the Id of the User who is currently editing the record? Can you concentrate on a special ability while also concentrating on a spell? There exist several abilities that have the text similar to, this effect lasts while you maintain concentration (as if you were concentrating on a spell). One such example is the Bard College of Glamour: Mantle of Majesty ability.     At 6th level, you gain the ability to cloak yourself in a fey magic   that makes others want to serve you. As a bonus action, you cast   command, without expending a spell slot, and you take on an appearance   of unearthly beauty for 1 minute or until your concentration ends (as   if you were concentrating on a spell). During this time, you can cast   command as a bonus action on each of your turns, without expending a   spell slot.   Another example is the Cleric Trickery Domain: Channel Divinity: Invoke Duplicity ability.     Starting at 2nd level, you can use your Channel Divinity to create an   illusory duplicate of yourself.      As an action, you create a perfect illusion of yourself that lasts for   1 minute, or until you lose your concentration (as if you were   concentrating on a spell).   While you are concentrating on maintaining such an ability would you also be able to maintain concentration on a spell that requires concentration?  There does not seem to be any RAW that limits this however the limitation around concentrating on a second spell exists which may suggest that the intent is that a character cannot concentrate on 2 effects at the same time unless explicitly stated. I am currently in need of using apt-get on a chroot directory. The setup is the following.  I have a chroot setup with schroot. This chroot environment needs to be stripped down as much as possible. Therefore I am planning to remove apt-get and commin from the chroot environment.  I know that Gentoo has the possibility to use portage on a different root directory. Is this possible to set a different root directory for apt.get to install software into my chroot directory?  Thanks in advance Importing two classes with same name. How to handle? Which of these two phrases has more negative undertone?      "The interview I had was not very good"    or      "The interview I had was not good"