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Why isn't the symmetric twin paradox a paradox? Two twin sisters synchronize their watches and simultaneously (from the earth frame) depart earth in different directions. Following a predetermined flight plan, each sister accelerates identically to 99.9%c and then returns home at the same time (again in the earth frame). The observers on earth see each twin as having aged identically, as the symmetry of the problem dictates. Each twin however should see the other as having aged... What gives? Shell with better editing capabilities Shells (at least what I know) have really bad command editing capabilities.  For example:    I can't point the cursor to any point of the command. I can't select and backspace/delete/replace text in the command.   Currently these are so distracting, I use gedit to edit commands before pasting them to the terminal.  Is there any solution that's good for these? What is the difference between image size and image quality? Interaction of Invoke Duplicity and Misty Step All beta sites (e.g. ) are appearing with 0 Q/D and 0 avid users.  is unaffected.  In the Q&amp;A spirit, my question is: Who borked the stats? Access a glyph on fontspec using a GID (Glyph ID) I'm trying to access a glyph, but it's only mentioned in the "Basic Latin and Latin 1" set for a font. The glyph has no name or unicode ID, but it does have a glyph ID or GID. fontspec doesn't mention possibilities for using this glyph. Neither does Adobe in the adobe feature file syntax:   I'd still like to be able to access a glyph through its ID, since it's the only way I can access it (I think).  My specific case requires to access the glyph ID 554 from Stevens Titling Pro Sable Brush. I will only post this font if it's strictly necessary, since I don't like to distribute these fonts to the wide world.  I posted an MWE containing another (free) font. This is not the font I intend to use, but perhaps a starting point to try and access glyphs manually.   \documentclass{article}  \usepackage{fontspec} \setmainfont{EB Garamond}  \parindent=0pt \begin{document}  Some text int EB Garamond. How can I access glyph 123 now?  \end{document} Is it OK to crosspost Stack Overflow questions, now that the Portuguese SO is open? Sums and products of algebraic numbers How does one go about proving that the sums and products of two algebraic numbers over a field $F$ (say $a,b\in K$, where $K/F$ is a field extension) is also algebraic?   If we call $f_a$ and $f_b$ the min. poly's of $a$ and $b$, then I'm assuming the answer involves such polynomials. Perhaps looking at their roots in splitting fields for both of them? And finding a "big" splitting field, constructed from those two other ones?      In particular, I'd like a way of explicitly constructing the minimal polynomials $\ f_{ab}$ of $ab$ and $f_{a+b}$ of $a+b$.     I read somewhere that $g(x)=\Pi_j\Pi_i (x-\alpha_i\beta_j)$ works for $ab$, where the $\alpha_i$ and $\beta_j$ are the roots of $f_a$ and $f_b$, respectively, but I do not know why $g(x)\in F[x]$.  Similar remarks for $a+b$ Format number to always show 2 decimal places How to configure Micromax 352g USB Modem? I want the driver software for my Micromax 352g USB modem for Ubuntu 12.04 LTS. On Ubuntu 10.04 sakis3g was working well, but it is not working on Ubuntu 12.04 LTS. Variables are often adjusted (e.g. standardised) before making a model - when is this a good idea, and when is it a bad one? In what circumstances would you want to, or not want to scale or standardize a variable prior to model fitting?  And what are the advantages / disadvantages of scaling a variable? What are Squirrel Girl's 'actual' stats? Is she truly the most powerful being in the Marvel universe? On the  ("The Definitive online source for Marvel super hero bios") Squirrel Girl is listed as having the maximum stats in her .  However in the  ("Comprehensive and exhaustive") she's listed as having lower stats.     Which one is correct and why is there a discrepancy? Is "aren't I" correct grammar? How will old M42 lenses work on a Nikon camera? Prove inequality using Jensen's inequality Will Find my iPhone Lost Mode be useful if stolen phone as shows Offline? My phone was stolen last night. I made sure it was in Lost Mode in iCloud and it was immediately in Offline status when I open iCloud. I am positive the thief switched it off. Now I am 100% certain the Find my iPhone option was turned on on my iPhone, but will the "Lost Mode" be of any help if it was not turned on on the iPhone? Would it be showing "Offline" if I did not turn on the option? Avoid synchronized(this) in Java? Should I postpone my trip to Paris in 2nd week of Jan in light of recent protests? I’ve a date and I really waited long to make this happen. My gifrfriend is a bit worried about the security issue in Paris. Which locals think that the media is exagerrating the issue and the issue is small and non-threatening for tourists? Combining multiple git repositories Use of 'prototype' vs. 'this' in JavaScript? What's the difference between  var A = function () {     this.x = function () {         //do something     }; };   and  var A = function () { }; A.prototype.x = function () {     //do something };