Is there an English word that's similar to the meaning of envy, but in a positive way? In other words, if &quot;envy&quot; is hoping for the removal of someone else's blessing, what is the word for &quot;wanting the same blessing for yourself but without wanting the blessing to be removed from the possessor&quot;?  Envy = &quot;I hate to see her luxurious house&quot;. Word? = &quot;I wish I were as generous as he is&quot;.
Imagine your college buddy is now running a multi-billion dollar company, while you're still stuck at the same white-collar day job 5 years after graduation. You chat with him and want to express the idea that you're happy for him and fancy having his lifestyle--something like "I wish I could buy a yacht and cruise around the world like you do; I'm glad you're doing really well!"  Basically, it's the feeling of envy when you take out the resentment from it. Is there a word for it?   (I thought about "admire", but found it too strong and broad)
Does Earth's Rotation Affect Its Shape? Dealing with non-integral powers on negative numbers If we are given an expression $(-8)^\frac26$, how do we solve it?  If it is $(-8)^\frac13$, we can find the cube root of -8 which is -2. However, if we square it first and find the sixth root, we get +2 (or maybe $\pm2$, which still isn't the same as just -2.  Also realised that when solving logarithmic and exponential questions, I had often made the assumption that if $b^a=b^c$, then $a=c$, either explicitly, or via some formula. I don't know if this is really true now.  So is there some convention by which we solve non-integral powers or is it just undefined to do so or something?  P.s. Talking of non-integral powers, will a quantity like $(-8)^{√3}$, will it be positive or negative. (Basically that's an irrational power now.) Why does Linux show both more and less memory than I physically have installed? Why was William Cage sent to the base? Why is Steam only showing me "Buy" instead of "Play" option for a game shared via Family Sharing? I thought the whole point of Family Sharing was so that multiple copies of the game didn't have to be bought. I have no problem downloading the game, but instead of "Play", my only option once it's downloaded is "Buy". Am I missing something? I want a single word embedded in whole logo. How do i do it in adobe illustrator?  I want to design a logo like this. Kindly help me "Show desktop" keyboard shortcut in Mac OS X I am using a MacBook Pro with Mac OS X 10.5. Is there a similar function to "show desktop" (shortcut is WIN+D) on a Mac?   It should hide all applications and show a clean desktop. Show that $\frac{1}{x_1^2}+\frac{1}{4\cdot x_2^2}+\ldots+\frac{1}{n^2\cdot x_n^2}\leq\frac{3n-2}{2n-1}$. Let $$x_n=\frac{1}{1^2}+\frac{1}{2^2}+\ldots+\frac{1}{n^2},\;\forall n\geq 1.$$ Show that $$\frac{1}{x_1^2}+\frac{1}{4\cdot x_2^2}+\ldots+\frac{1}{n^2\cdot x_n^2}\leq \frac{3n-2}{2n-1}.$$   I tried to prove it by induction  but I got a contradiction. VARCHAR size limit in Excel spreadsheets Disable sleep on laptop lid close in tty1 I'm using Ubuntu Desktop 15.10 on a laptop and it runs an Apache server with SSH as well. When using a GUI, I have the power options set to not sleep at all even when the laptop lid is closed, but recently I stopped the X-System and am now using TTY1 instead to save resources. However, in TTY1, if I close the laptop lid, the computer goes to sleep and prevents the SSH and Apache server from working. Any way to prevent this easily? The realistic answer I bet is to use Ubuntu Server instead (unless I'm mistaken and Ubuntu Server will also sleep on lid close) but I don't exactly want to switch yet unless there's an easy way to switch to it like you can switch from ubuntu-desktop to lubuntu-desktop? Any advice is welcome to prevent the computer from sleeping Usage of "but" in a sentence. I'm reading Robinson Crusoe and came across many of these constructions with "but" in it. I can't help but thought they were a little unusual. I don't consider myself fluent in English, that's why I ask.  Here is an example:     This I saw no remedy for but by making an enclosure about it with a   hedge; which I did with a great deal of toil, and more, because it   required speed.   Second one:      However, as my arable land was but small, suited to my crop, I got   it totally well fenced in about three weeks' time;   By typing the second out I figured it is actually the normal textbook case of "but", just an, in my opinion, screwed ordering in the sentence. Is this what it means?     However, as my arable land was suited to my crop but small, I got it   totally well fenced in about three weeks time;   Why did the author do this? Can you comment on the first sentence too? It's not a textbook-but-usage as I see it. Movie with a town where it is always night and the protagonist has amnesia I can't remember the name of this fairly recent movie. The protagonist wakes up in a bath tub without memories. He breaks up with his wife, gets in touch with a "doctor" who claims to be able to help him, and is accused of serial killing prostitutes. The sun never seems to go up. The main plot device:       The town is in perpetual darkness. It is the experiment of a hive-mind race, that tries to understand why humans are individual. To achieve this, they move humans' memories around. They can shape the world with thought, and when the protagonist learns this power, he challenges them, destroying them. It is revealed that the Earth is long since gone, and he lives on in this false world.   I've looked for titles like City of Night and City of Darkness, but can't find it. How to test if a player is near coordinates in 1.13? This question and answer is a response to a request from Joseph Wright.   Why shouldn't I use getnonfreefonts to install additional fonts? Why shouldn't I use updmap when installing or removing fonts?     Background  There are a number of questions on the site concerning problems caused by people installing additional fonts and using updmap to update the 'map' files on which TeX depends.  One common cause of these problems is the use of getnonfreefonts.  Other causes are the use of other font installation scripts or executing updmap directly. How to check which package created a user? It is suspected that some packages have scripts run at install time which create user accounts in /etc/passwd. How can I check which package created a specific user? Calculating the force required to lift a weight with a screw Running the minimal example  \documentclass{article} \usepackage{filecontents} \begin{filecontents*}{\jobname.bib} @ARTICLE{example,   author  = {Other, Anthony Norman},   title   = {Some things I did},   year    = {2014},   journal = {J.~Irrep. Res.},   volume  = {1},   number  = {1},   pages   = {1-10} } \end{filecontents*} \usepackage[backend=biber]{biblatex} \addbibresource{\jobname.bib} \begin{document} Hello\cite{example}. \printbibliography \end{document}   I get the warning There were undefined references.  I have read  and know that I need to run:   LaTeX Biber LaTeX   However, my editor is only set up to run BibTeX. How do I go about setting up my editor/IDE to be able to run Biber, and how do I run the LaTeX/Biber/LaTeX cycle?  Answers (sorted alphabetically by editor name)                    Answer guidelines   Each answer should be for one editor. If the editor is cross-platform, if possible give a single answer with notes covering the minor platform variations. Please edit the question to include new answers in the 'link list' Each answer should be 'stand alone', i.e. don't say 'It's almost the same as editor Y but ...' for the editor part Instructions for 'build tools' such as arara or latexmk are welcome but should explain how to set up the editor in question as not all editors allow simple addition of arbitrary tools Is it necessary to close StringIO in ruby? On , the accepted answer doesn't float on top. Apart from that, the display is correct (i.e. the V mark and the green border)  If I sort by "vote", I've got the following answer order:   Jezell Marc Gravell chilltemp (Accepted) Shaun Bowe   By "oldest":   Marc Gravell Jezell chilltemp (Accepted) Shaun Bowe   and by "newest":   Shaun Bowe chilltemp (Accepted) Jezell Marc Gravell     I'm using Firefox V.3.5 : Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:1.9.1) Gecko/20090624 Firefox/3.5 (.NET CLR 3.5.30729)  Feel free to ask for more debug information if needed. My problem is that I have only one reference. So I would like the head of this part to appear "Reference" instead of commonly "References". More generally, could we change the title "References" to an arbitrary name?  Thank you very much for your help!