There are a lot of spells and even weapons the have multiple damage types in the same attack. For example, Meteor Swarm has 20d6 bludgeoning and 20d6 fire damage.  Let's say an unfortunate PC gets hit with meteor swarm and has 90 max hp, he first takes the bludgeoning damage of 91 and then the fire damage of 85. does this all register as 1 hit and become unconscious or would he become unconscious from the bludgeoning damage and then take the failed death saves from the fire damage?  In short: do multi element attacks count as 1 hit or does each element count as a different hit?
Scenario 1: A grimlock hits Alice with a Spiked Bone Club, dealing 5 bludgeoning damage, plus 2 piercing damage. Alice's HP was 12.   Using the optional Massive Damage rules on page 273 of the DMG, does this count as more than half the HP from a single source, or less than half, but twice?  Scenario 2: Assume the same grimlock hits Bob with the same attack, this time rolling 6 bludgeoning damage, plus 3 piercing damage. Bob's Max HP is 8, and he had 1 HP remaining before he was hit.  Using the Instant Death rules on page 197 of the PHB, does the character die, or are the two damage types tracked separately? Does the character have to make a death saving throw for the second part of the damage?
If $\sum_{n=1}^{\infty} a_n^{2}$ converges, then so does $\sum_{n=1}^{\infty} \frac {a_n}{n}$ Let $a_1,a_2,a_3,\ldots$ be reals. Prove that if $\sum_{n=1}^{\infty} a_n^{2}$ converges, then so does $\sum_{n=1}^{\infty} \frac {a_n}{n}$.   For this I have shown the case for when $ a_n^{2} \le\frac {|a_n|}{n}$ $\Rightarrow$ $ |a_n|\le\frac {1}{n}$ $\Rightarrow$ $\frac {|a_n|}{n} \le \frac{1}{n^{2}}$ and we know that $\sum_{n=1}^{\infty} \frac {1}{n^{2}}$ converges and hence $\sum_{n=1}^{\infty}\frac {a_n}{n}$ converges by the comparison test. Now considering $ a_n^{2} \ge\frac {|a_n|}{n}$ $\Rightarrow$ $\frac {|a_n|}{n} \le a_n^{2}$ $\rightarrow$ combining the two cases for any n we have: $\frac {|a_n|}{n}\le\frac{1}{n^{2}}+a_n^{2}$ Hence using the comparion test again we know that $\sum_{n=1}^{\infty} a_n^{2}$ converges and $\sum_{n=1}^{\infty} \frac {1}{n^{2}}$ converges hence the sum converges so we can conclude that $\sum_{n=1}^{\infty} \frac {a_n}{n}$ is absoluetly convergent $\Rightarrow$ convergent.  Not to sure if this is correct, any help would be much appreciated, many thanks. Understanding the -exec option of `find` I find myself constantly looking up the syntax of  find . -name "FILENAME"  -exec rm {} \;   mainly because I don't see how exactly the -exec part works. What is the meaning of the braces, the backslash and the semicolon? Are there other use cases for that syntax? Prove that the equation $x^4+(2k^2)x^2+2k^4$ is not a perfect square How do I get an RSS feed of my YouTube subscriptions? The default "Subscriptions" feed on the YouTube homepage shows all of the activity of the people that I am subscribed to on YouTube or have in circles on Google+. However, I'm most interested in new videos that the people I subscribe to (either on YouTube or by circling on Google+) create and post (neglecting comments or sharing other people's videos - what you see when you check the "show uploads only" checkbox on the YouTube homepage). However, being able to bring anything off of the YouTube homepage and into Google Reader as an RSS feed would be good.  Is there a way to do this? I am using ECIES (Cryptobox as poncho pointed out) for public key encryption with ECC between Alice and Bob with secret/public keys $(a,A)$ and $(b,B)$ respectively. So Alice encrypts to Bob with  $$ Encrypt(aB,Message) $$  Additionally I would like to encrypt some of Alice's data such that only she can decrypt it. Is it safe to use ECIES to compute a shared secret from Alice's secret and public key as in  $$ Encrypt(aA,Message) $$  I know I could randomly generate a public key, but then I would have to store this key somewhere which I would like to avoid. The Half-Elven and their choices Earendil and Elwing were given the choice of kindreds after their journey to Valinor, This choice was extended to their sons (specifically sons, not daughters or grandchildren)  Elrond chose the race of the Eldar and his brother Elros chose to be counted amongst the Edain. Thus far Manwë's proclamation has been fulfilled.  There are some inconsistencies here:   Arwen was given the choice, but Elladan and Elrohir remained as Eldar in Imladris Tar-Vardamir was not given the choice The offspring of Imrazor and Mithrelas in Dol Amroth dont seem to have been given a choice   I can think of only one explanation, that the Mannish blood is dominant over the blood of the Eldar, thus, As Vardamir was the offspring of two mortals he did not fall under Manwë's proclamation despite being the son of a half elven.  However this does not seem to explain the other inconsistencies, Is it possible that Elladan and Elrohir and also the princes of Dol Amroth weren't considered important enough by Manwë or Eru to give them the choice.  Also as a side note Tolkien states there were only three unions between man and elf, but this seems to ignore Turin/Finduilas and Imrazor/Mithrelas  My question is, Why was Arwen given the choice and not the sons of Elros? Change Default Scrolling Behavior of UITableView Section Header Password protect files/folders using cli I have some important documents that I need to protect from anyone else having access to my machine.   The problem being the other persons have access to my machine via root account so changing the file permissions is not a option for me. I have seen apps like cryptkeeper but I was wondering can I password protect my files/folder by command line mode in ubuntu. Get selected text from a drop-down list (select box) using jQuery Adding tags to files in OS X: How to use, where are tags stored, and will they work on a network? Grub not showing on startup for Windows 8.1 Ubuntu 13.10 Dual boot Ok, so I'm such a newbie to Ubuntu and I bought a Windows 8 pre-installed laptop last month.  I updated to Windows 8.1 and then I thought about installing Ubuntu as a dual boot so I could mess around and learn more about it.   So I followed a Youtube tutorial (  ) and I got my stuff working fine.   The first few times I booted I got the GRUB menu instead of my default HP Boot OS Manager, and I was able to select my OS.   So I went to sleep and the next day I turned on my computer and the GRUB menu did not show up. I tried several times and it didn't automatically show up.  In order for me to see the GRUB menu I had to turn on my PC and on start had to press ESC to pause startup and press F9 to get boot options. Then from there I had to pick from OS Boot, Ubuntu, Ubuntu (Yes there were two Ubuntus available) and a default EFI file thingy.   When I click the first Ubuntu I get the GRUB Menu (I was too scared to try the second in case I screwed my laptop up) and I can safely load Ubuntu from there and use it (although I do have to increase my brightness every time I load Ubuntu because it somehow reduces my brightness to complete darkness on boot)  So my problem here is why isn't my GRUB showing on boot, after it worked on the first day?   My laptop is a HP TouchSmart j-078CA.  EDIT 1: FYI I just switched to Ubuntu LiveCD to check my Installation and found out that one of my partition is flagged as msftres. Here is a screenshot of my GParted on a LiveCD: Thought Experiment - Poking a stick across a Black Hole's Event Horizon Background - I am doing my PhD in atmospheric physics/photobiology.  Here is a scenario:   The experiments are complete - the results are far better than expected  Successfully got the computer program to work properly and have developed another Papers are published Much of the thesis is drafted   The light at the end of the tunnel is most definitely no longer an oncoming train.  But, at this stage, you just don't feel like working on the thesis, you do other things like cleaning, reading, watching movies - procrastination gets worse, and worse despite the submission deadline coming closer.     The procrastination resulting in more apathy towards the project, despite being fully aware of how much work has been put into the project, how much has been achieved and how little, comparatively, needs to be done.  What strategies are there to overcome this academic-apathy, particularly in this late stage of the thesis? Getting polygon shapefile node coordinates and point order Origin of the term "fun fact" Where does the term "fun fact" originate?-- namely, not with the compositional meaning but rather with the idiomatic usage to introduce some sort of unusual, esoteric, absurd or otherwise "controversial" fact? ++ is dangerous for C programmers Are estimates of regression coefficients uncorrelated? Consider a simple regression (normality not assumed): $$Y_i = a + b X_i + e_i,$$ where $e_i$ is with mean $0$ and standard deviation $\sigma$. Are the Least Square Estimates of $a$ and $b$ uncorrelated? Handling registration ID changes in Google Cloud Messaging on Android When one wants to list various cases/classes/categories/types of objects in a string of conjunctions, is it preferable (or even mandatory) to keep on using (the same) preposition in front of each one them?  Moreover, does singular or plural form of the word "case", "class", "category" make any difference in the previous question?  Examples:   In the present article, we study the case of X, of Y and of Z objects. (in this example, as in most of the ones I have in mind, it is the preposition "of" which is relevant to my question). We study the cases/classes of X and of Y objects. vs. We study the cases/classes of X and Y objects.   Although it is rather clear that, in the singular case, the absence of "of" in later conjuncts may lead to a logical confusion (e.g., mistakenly taken as the one class/case of objects which are both X and Y), when it comes to plural of the words "case", "class", etc., this might not be an issue. Still, there might anyway be a rule in the plural setting as well. I am working to build a reinforcement agent with DQN. The agent would be able to place buy and sell orders for a day trading purpose. I am facing a little problem with that project. The question is "how to tell the agent to maximize the profit and avoid the transaction where the profit is less than 100$".  I want to maximize the profit inside a trading day and avoid to place the pair (limit buy order, limit sell order) if the profit on that transaction is less than 100$. The idea here is to avoid the little noisy movements. Instead, I prefer long beautiful profitable movements. Be aware that I thought using the "Profit &amp; Loss" as the reward.  "I want the minimal profit per transaction to be 100$" ==> It seems this is not something that is enforceable. I can train the agent to maximize profit per transaction, but how that profit is cannot be ensured.  At the beginning, I wanted to tell the agent, if the profit of a transaction is 50 dollars, I will remove 100 dollars, then It becomes a penalty of 50 dollars for the agent. I thought it was a great way to tell the agent to not place a limit buy order if you are not sure it will give us a minimal profit of 100$. It seems that all I would be doing there is simply shifting the value of the reward. The agent only cares about maximizing the sum of rewards and not taking care of individual transactions.   How to tell the agent to maximize the profit and avoid the transaction where the profit is less than 100$? With that strategy, what guarantee that the agent will never make a buy/sell decision that results in less than 100 dollars profit? Does the sum of reward - # transaction * 100 can be a solution?