What kind of contested roll should be made against Intimidation? So we just started a new campaign with new characters. Two of the characters aren't afraid to get their hands dirty to get what they want. In the very first session the one character, who plays a homebrewed Yeti race roared at another player to intimidate them so they would scram. With most social interactions there's a contested roll to see how it effects the other person. But the problem we had is we had no idea which skill to use. So which skill should be used to contest the intimidation?   One of us is leaning more towards pure charisma while another is leaning towards insight. Would this actually be an intimidation roll or should they just purely roleplay it out? But then if it was a NPC instead, what would the NPC roll for? They tried interrogating one previously and intimidating them and rolled really high to get info from them. However, I, as the DM, didn't want them to know any info and played the NPC as someone who would rather die than spill any information.
What ability should be used when resisting Intimidation? During our last play session (it was our second session, so everyone is first level) my fighter dwarf had a conflict with another player's human fighter. My dwarf became annoyed at the human's dismissive reaction to a roar outside the village that sounded like ogres (my dwarf has a bad history with ogres).   So, in order to emphasize the seriousness of this situation, my dwarf grabbed the human by shirtfront and pulled him closer (done with a successful roll). Still bent double, the human drew his sword and pointed it at my dwarf's belly (dwarf wearing chainmail). At this point the DM made the other player roll an Intimidation (Charisma) check, and me a Wisdom check to resist. I lost and my dwarf, chastened, let the human go.  That was pretty funny situation, but one thing is bothering me. By using a Wisdom check against Intimidation (Charisma), my dwarf (who has &minus;1 Wisdom modifier) was at a disadvantage (literally, not in the D&amp;D disadvantage mechanic sense) against the threats. Although he is a strong and capable warrior, he is not that wise.  But I have to wonder: is willpower really represented by Wisdom in 5e? I think that many not-so-wise creatures/characters can stand bravely against threats.  What ability/skill should be used in a contest to resist intimidation?
Showing a compact metric space has a countable dense subset I know that this is separable, but that has not been covered by the text at this point. I believe my proof (below) to be correct, but not very rigorous. Assuming that it actually is correct, could someone please help me make it more formal? (If it's not correct, please help with the proof). Thanks.  Proof: Let $X$ be a compact metric space. Let $B_n = \{B(x,\frac1{n}) : x\in X\}$. be the collection of open balls centered at $x$. Let $\{x\}^{(n)}$ be the set of centers for some particular $n$. Then by compactness of $X$, there are also a finite number of centers for a particular $n$ (corresponding to each open ball).   [This is where I have trouble properly saying what's on my mind:]  Consider $B(x,r_0)$, where $r_0 = \frac{1}{n_0}$. When we decrease the magnitude of $r_0$ to $r_1$, we must still be able to cover $X$. Meaning some open ball(s) must be "formed" where $B(x,r_0)$ was once "covering". So by adding open balls, we also add to our collection of centers. This means at $B(x,r_0)$, there was originally a point $y \in B(x,r_0)$ s.t. $B(y,r') \subset B(x,r_0)$ for some $r'$. That is, $B(x,r_0)$ contained another point of $X$. Thus, by definition, $X$ contains a countable dense subset. No more WIFI. oem-wifi-intel-iwlwifi doesn't build on the new 4.4 kernel I have seen many ways to make a USB an installer for about any Windows OS. But how can I (using grub or something like that) make it bootable to all editions on Windows XP and 7?   I have tried Googling it and researching, I've even tried to do it, But I dont understand much about GRUB or linux at all.  Please keep in mind that I am not very good with linux, so please use as many details as possible. Why don't we pluralize "foot" in measurements? Is there a symbol for "unitless"? Proving that this function is continuous on $G\times G$ Atmospheric lighting in cycles How would I go a about making volume light beams?  I have have tried  various tutorials, but they must be for a older version. as applying them does seemingly nothing.  A link to a functioning tutorial would be greatly appreciated as well.  I don't have a picture or .blend to show, as my problem with atmospheric lighting does not pertain to any specific scene. Illogical GTK theme behaviour on Ubuntu 18.04 How do Android tablets use magnet to auto-lock the device? Maximum power transfer proof I have the following homework problem.  Consider a power supply with fixed emf $ε$ and internal resistance $r$ causing current in a load resistance $R$. In this problem, $R$ is fixed and $r$ is a variable. The efficiency is defined as the energy delivered to the load divided by the energy delivered by the emf.  When the internal resistance is adjusted for maximum power transfer, what is the efficiency?  The answer is 50% but I'm confused how this is calculated. Here is my thought process so far.  The power dissipated in the load is $I^2R$ and $\displaystyle I = \frac{ε}{r+R}$ so $\displaystyle P = \frac{ε^2R}{(r+R)^2} = \frac{ε^2}{\frac{r^2}{R} + 2r + R}$ and so power transferred to the load will be maximum when $\displaystyle \frac{r^2}{R} + 2r + R$ is a minimum. Taking the first derivative $\displaystyle \frac {d}{dr}(\frac {r^2}{R} + 2r + R) = (\frac{2r}{R} + 2)$ and this equals 0 when r = -R. The second derivative is $\displaystyle \frac{2}{R} &gt; 0$ so this point would be a minimum and therefore max power transferred when r = -R.  But having $r = -R$ doesn't make sense to me. From what I read, for maximum power transfer $r$ should equal $+R$. So I've probably done something wrong in my calculations or assumptions in the previous paragraph. Also wouldn't max power be transferred when the internal resistance is as close to zero as possible?  Can someone please show me a proof that shows why $r = R$ for max power transfer and then how to calculate the efficiency. Please add a reply button to messages in the pinned/starred section I've run into this a few times; I'll rejoin chat after being away for a while and notice something interesting in the starred section.  I'd like to reply directly to the message but there's no reply button.  Currently, the only ways to explicitly reply to one of those messages are either:-   find the message by scrolling up and looking for it, then click the reply button or; copy and paste the permalink, deleting all the way up to the fragment identifier and adding the colon at the start.   Please add a reply link, even if it just goes in the popup menu it's an improvement. How to specify ec2 instance types for different services? After I have specified a default EC2 instance type for my Juju charm, how do I override that for one of the services?  For instance, the  deploys wordpress and mysql, and I can set the default-instance-type in my environments.yaml so both services are m1.small  But how do I configure it so that (only) the mysql service gets deployed on an instance type better suited to a database, like m2.xlarge ? $S=\{(n,{1\over n}):n\in\mathbb{N}\}$ is closed in $X$? The topological space $X=\mathbb{N}\times \mathbb{Q}$ with subspace topology of $\mathbb{R}^2$ the set $S=\{(n,{1\over n}):n\in\mathbb{N}\}$ is closed in $X$?  $S^c=\phi\times\{{1\over n}\}^c$ right? but I know $\mathbb{Q}$ is neither open nor closed in $\mathbb{R}$, I am confused here, could any one help me to answer this question?  the boundary of $S$ is $\bar{S}\setminus $ int S. as int S is $\phi$ so boundary is $\mathbb{N}\times \mathbb{R}$? I am stuck on the following question:     Find the volume of the torus obtained by rotating the circle $(x-a)^2+y^2=b^2$, where $a&gt;b$, around the y-axis. Mint 18 will boot only to a black screen I want to be able to have LinkedList.contains() return true for a custom comparator.  Suppose that I have 1 LinkedList and 2 objects  LinkedList&lt;MyObject&gt; myList = new LinkedList&lt;MyObject&gt;();  MyObject a = new MyObject("HELLO"); MyObject b = new MyObject("HELLO");   Technicaly, both objects are identical in terms of comparison (MyObject implements Comparable)   ( a == b ) == true  however, when I do the following, myList does not return true for myList.contains(b)  myList.add(a) myList.contains(b) // == false   I think its because contains will check object reference and see that a and b are 2 distinct objects. Is there any way I can make it so I don't have to extend LinkedList to compare those objects? Programmatically get own phone number in iOS Is there any way to get own phone number by standard APIs from iPhone SDK? How do ideal quotients behave with respect to localization? Suppose $R$ is commutative ring with unity. For ideals $I$, $J \subseteq R$, the ideal quotient $(J:I)$ is $$(J:I) := \{x\in R \, : \, xI \subseteq J\}$$ Let $S\subset R$ be a multiplicative set. When does localization at $S$ commute with taking quotients, i.e. when does the equality $$(S^{-1} J : S^{-1} I) = S^{-1} (J:I)$$ hold? More generally, when is it true that $$S^{-1} \text{Ann}_{R} (M) = \text{Ann}_{S^{-1} R} (S^{-1} M)$$ for an $R$-module $M$? I have a folder with some directories and some files (some are hidden, beginning with dot). for d in *; do  echo $d done  will loop through all files and directories, but I want to loop only through directories. How do I do that? What are the highest DC and AC voltages or currents that can be considered as safe?