I am a Blood Hunter (Critical Role class ) with the Sharpshooter and Crossbow Expert feats wielding two hand crossbows. My Crimson Rite allows me to deal an additional 1dx magical damage of some element when I make an attack with a targeted weapon. Sharpshooter simply says that you can add 10 damage to the attack, but it doesn’t specify type. I see a direct comparison to Jeremy Crawford’s ruling on , implying I could choose the damage type of the extra damage. Am I missing some rule that contradicts my assumption?
Sneak Attack has the same type , this is easy, unless there are multiple damage types.  A Flame Tongue does slashing (or piercing) damage, and fire. Can I chose the Sneak Attack damage in this case to be fire too?
The (countably infinite) wedge sum of circles is quotient of  disjoint countable union of circles $\amalg S_i$, with points $x_i\in S_i$ identified to a single point, while the infinite earring H is the topological space defined by the union of circles in the Euclidean plane $\mathbb{R}^2$ with center $(1/n, 0)$ and radius $1/n$ for $n = 1, 2, 3, ...$. In the definition of countably infinite wedge sum of circles, it is not specified the size of circles, the points which to be identified to a single point etc. So we can take disjoint union of circles of radius $1/n$ and identify a point from each to a common single point to get the infinite earring. I couldn't understood the difference between these two topological spaces. Can one explain more precisely the difference between these two spaces? Propagate all arguments in a bash shell script I want to append some data to a layer in my PostGIS DB using a shapefile, but when I use the Import layer/file tool in QGIS, it doesn't allow me to choose the append option.  Why is this and how do I get it to allow me to append? Duplicate typeset index entries Keen eye for detail (or details?) Which one is correct? "To have a keen eye for detail" or "To have a keen eye for details"? I add video files to the video editor,  Both audio and video channels appear but only the audio plays.  The video is just a white box.  Anyone know what is wrong.  Added video in WMV.  Also tried MP4 same thing. Binomial confidence interval estimation - why is it not symmetric? I have used the following r code to estimate the confidence intervals of a binomial proportion because I understand that that substitutes for a "power calculation" when designing receiver operating characteristic curve designs looking at detection of diseases in a population.  n is 150, and the disease, we believe, is 25% prevalent in the population. I have calculated the values for 75% sensitivity and 90% specificity (because that's what people seem to do).      binom.test(c(29,9), p=0.75, alternative=c("t"), conf.level=0.95)      binom.test(c(100, 12), p=0.90, alternative=c("t"), conf.level=0.95)   I have also visited this site:    Which is a java page which calculates binomial confidence intervals, and it gives the same answer.  Anyway, after that lengthy set-up, I want to ask why the confidence intervals are not symmetric, e.g. sensitivity is      95 percent confidence interval:    0.5975876 0.8855583      sample estimate probability: 0.7631579    Sorry if this is a basic question, but everywhere I look seems to suggest that they will be symmetric, and a colleague of mine seems to think they will be too. Alternating sum of squares of binomial coefficients Number or regions formed when $n$ points on a circle are joined The maximum number $R_{n}$ of regions formed when $n$ points on a circle are joined in pairs is $\frac{1}{24}\left(n^{4}-6n^{3}+23n^{2}-18n+24\right)$.  This is a fact that I have read in several essays on the dangers of jumping to conclusions in mathematics.  In your opinion, what's the quickest (and/or nicest) way to prove this formula?  Professor  explains somewhere an especially convincing way to tackle this pearl following an idea which a certain high schooler in one of his talks (lectures?) came up with; yet, I don't remember  where it was that I actually read this...  Let me thank you in advance for your insightful replies. How to make sure I'm not using any proprietary software after installation? I know I can check the currently installed non-free software with the following command (assuming aptitude is FOSS):  aptitude search '?installed (?section(restricted) | ?section(multiverse))'   And I can remove the "restricted" and "multiverse" sources (and not add any PPA's) to keep that list empty. I'm assuming from this point, whenever I apt install something, that something is either in the allowed sources or it is not found.  Is this enough? Does this make sure all software I'm running (in Ubuntu) is open-source? Max length for HTML How to restrict the maximum number of characters that can be entered into an HTML &lt;textarea&gt;? I'm looking for a cross-browser solution. Let $P(X)$ denote the power set of $X$ (the set of all subsets of $X$) with a partial order given by inclusion.  If $F: P(X) \to  P(X)$ is monotone (order preserving), then $F$ has a fixed point.  How are we going to prove that without using the term (complete lattice)?! Proving ${n \choose p} \equiv \Bigl[\frac{n}{p}\Bigr] \ (\text{mod} \ p)$ Where to ask question about hardware? Strange result when removing item from a list while iterating over it Kendo Grid & Rich text Editor of Sharepoint 2013 How do I prove if $\sup\{ (n!)^{1/n} | n \in\Bbb N\} = +\infty$?  I don't know how to properly explain it Induction proof (bitstring length) Theorem : The number of bitstrings with the length $x$ that begin with $1$ and/or end with $0$ is  $3 \times 2^{x-2}$.  I know there are easier ways to prove this but I must figure out how to do it with induction. When replacing non-grounding type receptacles is a GFCI receptacle required, or can any GFCI device be used? Under the NEC (it was 210(7)(d)(3), but appears to have moved around some), it is permissible to replace an ungrounded receptacle with a GFCI receptacle, then wire further ungrounded or non-grounded (i.e. a NEMA 5 without a ground wire hooked up) receptacles on the circuit to the load side of the GFCI, all in lieu of running a ground wire in order to replace the existing ungrounded receptacles with grounded receptacles.  However: does this permission extend to replacing the branch circuit overcurrent protection device with a GFCI-type circuit breaker (or a CAFCI breaker that provides ground fault protection for personnel)?  Or can only GFCI receptacles be used for this retrofit? The NEC's verbiage does not make mention of breaker-type GFCIs... Does standard c library provides linked list etc. data structures?