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EL expressions not evaluated in JSP Is it possible for information (like 1 and 0s) to be transmitted faster than light?   For instance, take a rigid pole of several AU in length. Now say you have a person on each end, and one of them starts pulling and pushing on his/her end.   The person on the opposite end should receive the pushes and pulls instantaneously as no particle is making the full journey.  Would this actually work? When a divination wizard character uses their Portent ability:     Starting at 2nd level when you choose this school, glimpses of the   future begin to press in on your awareness. When you finish a long   rest, roll two d20s and record the numbers rolled. You can replace any   attack roll, saving throw, or ability check made by you or a creature   that you can see with one of these foretelling rolls. You must choose   to do so before the roll, and you can replace a roll in this way only   once per turn.   ... to replace a roll, can a player with the Lucky Feat:     Whenever you make an attack roll. an ability check, or a saving throw,   you can spend one luck point to roll an additional d20. You can choose   to spend one of your luck points after you roll the die, but before   the outcome is determined. You choose which of the d20s is used for   the attack roll, ability check, or saving throw.      You can also spend one luck point when an attack roll is made against   you. Roll a d20, and then choose whether the attack uses the attackers   roll or yours.      If more than one creature spends a luck point to influence the outcome   of a roll, the points cancel each other out; no additional dice are   rolled.   ... use the Luck Roll to replace the result? Or does the Portent trump all rolls and simply give you the final outcome?  This question spun off from  on .  Some relevant points:  .  Mike Mearls tends to believe that luck can triumph in some cases, but admits this is , and further seems to conflate the question with .  I would suggest reading the linked discussion before formulating an answer. There's some good thought there. How is unattended-upgrades started and how can I modify its schedule? I'm wondering who starts unattended-upgrades in my debian-jessie:   my man page   DESCRIPTION    This program can download and install security  upgrades  automatically    and  unattended,  taking care to only install packages from the config‐    ured APT source, and checking for dpkg prompts about configuration file    changes. All output is logged to /var/log/unattended-upgrades.log.    This  script  is  the backend for the APT::Periodic::Unattended-Upgrade    option and designed to be run from cron (e.g. via /etc/cron.daily/apt).  But my crontab doesn't show anything by crontab command:  @stefano:/etc/cron.daily$ crontab -l no crontab for stefano # crontab -l no crontab for root  But my unattended-upgrade work fine!(my unattended-upgrades log file) :  2017-02-05 12:42:42,835 INFO Initial blacklisted packages:  2017-02-05 12:42:42,866 INFO Initial whitelisted packages:  2017-02-05 12:42:42,868 INFO Starting unattended upgrades script 2017-02-05 12:42:42,870 INFO Allowed origins are: ['o=Debian,n=jessie', 'o=Debian,n=jessie-updates', 'o=Debian,n=jessie-backports', 'origin=Debian,codename=jessie,label=Debian-Security'] 2017-02-05 12:43:15,848 INFO No packages found that can be upgraded unattended   Where do I have to check/modify if I want to change my schedule? How do I check if someone accessed my computer? I need to check the list of files accessed in my computer (ex: yesterday on particular time). Is it possible?   Or   I need to check whether anybody accessed my computer (when I left it unlocked) or not for a particular time. Before upgrading to macOS Sierra, I really liked the Character Accent Menu by doing a long press on a key (for example, the character e) and being able to add an accent on it.   However, this functionality seems to not work anymore, and so far, I can't find out why?   Also, before, doing a long press on the delete button, would repeatly delete characters. Now, it is doing only one character deletion disregarding how long I'm pressing the key. So if I want to erase 10 characters, I need to press the delete button 10 times...  Also, I am not able to log off or shut down. When doing it, all applications are closed, status bar disappears but nothing happens. The dock remains here. I have no way to shut down or log out without doing a long press on the power button.  Is someone facing the same issue?  EDIT : Logging with a new user account or guest account fix all the problems. But I still would like to know what, in my user account, became corrupted during the upgrade. I have  $m\times n = n + n + \dots + n$    in my text right now, but I would like to put a curly brace under the \dots to emphasize that there are m,n's involved. How would I do this? Why have view counters been modified? Intuition behind using complementary CDF to compute expectation for nonnegative random variables I've read the proof for why $\int_0^\infty P(X &gt;x)dx=E[X]$ for nonnegative random variables (located ) and understand its mechanics, but I'm having trouble understanding the intuition behind this formula or why it should be the case at all. Does anyone have any insight on this? I bet I'm missing something obvious. Forcing series convergence How does Ubuntu flavor iso differ from a desktop package? TL;DR: how does an Ubuntu flavor iso installation ( for example Lubuntu ) differ from installing a desktop package via apt-get ? (for instance sudo apt-get install lubuntu-desktop)  Context for the question:   Some time ago I answered a question on AskUbuntu , where I tested in virtual machine removing unity-desktop and installing ubuntu-gnome-desktop. That makes the boot logo ( plymouth ) change, desktop changes, different packages get installed (gnome-network-manager instead of network-manager , if I am not mistaken). It appeared that in effect I've switched to different Ubuntu flavor, even though I started out with the standard Ubuntu system. Hence the question: what differentiates the pre-made Ubuntu flavor iso from installing a package ? Is it all the same base underneath the hood or does installation from iso have specific configurations ? If it's possible to install a flavor via package manager, why then separate flavor iso's exist ? (obvious answer is user convenience, but I think there has to exist other reasons. Canonical is a business , and it makes not a lot of sense for a business to provide additional flavor iso , if a sysadmin or end-user can get the same thing via package manager by themselves). How prove this $\prod_{1\le i<j\le n}\frac{a_{j}-a_{i}}{j-i}$ is integer If you cast Polymorph on a non beast creature then cast Awaken on their beast form how much carries over after polymorph ends?  Polymorph does not give any explicit information on what happens to your statistics when the polymorph ends:     The transformation lasts for the duration, or [drops to 0 hp]. [...] The target's game statistics, including mental ability scores, are replaced by the statistics of the chosen beast.  (Basic Rules, pg. 266)   So this leaves ambiguity when game statistics are altered during polymorph,   The charm effect of Awaken seems pretty clear from the  and reinforced by the specific wording referring to the target as a beast or plant during effects and a creature afterwards:     The awakened beast or plant is charmed by you [longer than polymorph.] When the charmed condition ends, the awakened creature chooses [...] (Basic Rules, pg. 216)   The other two effects of awakening (other than making a plant mobile) are less clear-cut:     The target gains an Intelligence of 10. The target also gains the ability to speak one language you know.  (Basic Rules, pg. 216)   I would guess the modification to intelligence would apply to the beast's stats and therefore end with polymorph.     as being independent of creature statistics and act more as the character's experience. I'd argue the experience of a stranger turning you into a mouse, then gifting you the ability - as a mouse - to speak a language you have never used before would be an experience you couldn't lose I'm not sure if the language and intelligence granted from awakening should remain linked.    These are two examples I can see this having significant impact on my campaign:   Meet an NPC I don't share a language with, Polymorph them then Awaken their beast form so they can speak my language. Can I now communicate with them when they turn back?  If their original intelligence was higher then 10 is it reduced to 10? Say I use find familiar to get an owl (classified as a fey) familiar, then polymorph it to an owl (classified as a beast) so my druid friend can cast Awaken on it, does my familiar keep an intelligence of 10 and/or the ability to speak?   So after reverting from an awoken polymorphed state would you keep the 10 intelligence and a new language, only the new language, or not keep either? Show that $\ker \hat{T} = \text{ann}(\text{range } T)$ This is an old exam problem: Let $V$ and $W$ be finite dimensional vector spaces over a field $F$ and let $T: V \to W$ be a linear transformation. Define $\hat{T}: W^* \to V^*$ by $(\hat{T}(f))(v)=f(T(v))$. Here, $U^*$ denotes the dual vector space $U$. Since $\hat{T}$ is a linear transformation prove $\ker \hat{T} = \text{ann}(\text{range } T)$ where $\text{ann}(Y) = \{g \in U^* : g(y)=0 \text{ for all } y \in Y \}$ for a subspace $Y$ of vector space $U$.  I'm really not sure how to start this problem. Any advice would be great! Inverse of sum of exponential random variables (mean and variance) Assume $X_1,X_2, \dots , X_n$ following the exponential distribution with mean $\theta &gt; 0 $ and the statistic: $$ T = \sum\limits_{i = 1}^n X_i $$  I know that the sum of exponential random variables follows the Gamma distribution, but I cannot infer anything about the inverse of the sum $\frac{1}{T}$. My guess would be that: $$ E\left[\frac{1}{T}\right] = \frac{1}{\theta} \quad \text{and} \quad V\left[ \frac{1}{T} \right] = \frac{1}{\theta^2} $$ but why? Proving orthogonality of vectors in a complex vector space I'm taking a course in Real Analysis and have come across the following question which I initially thought looked quite simple:  Let $X$ be an inner product space over $\mathbb{K}$ ($\mathbb{K} = \mathbb{C}$ or $\mathbb{R}$) Show that x and y are orthogonal if and only if $||\lambda x  + \mu y||^2 = ||\lambda x||^2 + ||\mu y||^2$ for all $\mu, \lambda \in \mathbb{K}$.  I have proven the statement in one direction (starting with orthogonality and ending up with $||\lambda x  + \mu y||^2 = ||\lambda x||^2 + ||\mu y||^2$). However, I seem to be getting stuck trying to go in the other direction. The following is what I have so far:  $||\lambda x  + \mu y||^2 = ||\lambda x||^2 + 2\bar{\lambda}\mu Re&lt;x,y&gt; + ||\mu y||^2$  Then we must have 2$\bar{\lambda}\mu Re&lt;x,y&gt; = 0$ for the desired equality to hold, and so $Re&lt;x,y&gt; = 0$.   However, for orthogonality I want $&lt;x,y&gt; = 0$ and can't see how I can make this next step.  Any help would be greatly appreciated. How to write a LaTeX package that bundles not only .sty and .cls files but also some logos in .pdf or .eps formats? I would like to make a LaTeX package with the following subdirs:   tex/latex/common (a common .tex file shared among beamer and letter) tex/latex/resources (lots of pdf and eps files with graphical resources) tex/latex/mybeamer (a custom beamer theme with 5 .sty files) tex/latex/myletter (a .cls file for a letter template)   I would like to package these files into a single LaTeX package that users could install in an easy way. I read about the .ins and .dtx files and I can see how to pack the .sty and .cls files but what about the extra graphics - the resources folder which contains several PDF and .eps files? Making sense of principal component analysis, eigenvectors & eigenvalues In today's pattern recognition class my professor talked about PCA, eigenvectors and eigenvalues.   I understood the mathematics of it. If I'm asked to find eigenvalues etc. I'll do it correctly like a machine. But I didn't understand it. I didn't get the purpose of it. I didn't get the feel of it.        I strongly believe in the following quote:     You do not really understand something unless you can explain it to your grandmother. -- Albert Einstein   Well, I can't explain these concepts to a layman or grandma.   Why PCA, eigenvectors &amp; eigenvalues? What was the need for these concepts? How would you explain these to a layman? Make IN clause behave like AND clause I've asked the same question on , but got no answer, so that's why I'm asking it here (I've read that simple sql questions should be asked at SO, but I have no choice).  Suppose I have 3 tables: posts, post_categories and categories. I'm implementing some kind of page with filters where I can filter posts by categories. User can select multiple categories. When he selects more than one, they should be summed. I can't get it working. What I have now is simple IN() SQL clause:  SELECT posts.id, post_categories.category_id FROM posts  JOIN post_categories ON posts.id = post_categories.post_id  WHERE post_categories.category_id IN (1,2,3) LIMIT 10;   But it is not matching all ids, it is OR and I need AND. What I need here is to find all posts that have categories with id=1 AND id=2 AND id=3, but instead this query returns posts that have at least one category from the IN() list. Prove $\frac{a+b+c}{abc} \leq \frac{1}{a^2} + \frac{1}{b^2} + \frac{1}{c^2}$. So I have to prove $$ \frac{a+b+c}{abc} \leq \frac{1}{a^2} + \frac{1}{b^2} + \frac{1}{c^2}.$$  I rearranged it   $$ a^2bc + ab^2c + abc^2 \leq b^2c^2 + a^2c^2 + a^2b^2 .$$  My idea from there is somehow using the AM-GM inequality. Not sure how though. Any ideas?  Thanks