How is undergraduate Indian percentage converted to US 4.0 GPA by graduate schools?
How to convert from one grading scheme to another?
Why did Hogwarts Library carry a book containing information on horcruxes if it was a banned subject? Alternative to Adobe Illustrator Can you recommend a good alternative to Adobe Illustrator?   I am learning vector based graphic design, but I am not ready to make such a large investment as to purchase a copy of Adobe Illustrator. Also, Illustrator might be a little more power than I need at the moment. I am using a Macintosh. iBooks library like effect Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$? We all know that $\sqrt[3]{3}\not\in \mathbb{Q}({\sqrt[3]{2}})$ intuitively. We even know that $\sqrt[3]{p}\not\in \mathbb{Q}(\sqrt[3]{q})$ for two distinct primes $p, q$. However, I don't know how to prove these things rigorously. In case of $\sqrt{p}\not\in \mathbb{Q}(\sqrt{q})$, we can just set assume $\sqrt{p}=a+b\sqrt{q}$ for some $a, b\in\mathbb{Q}$ and deduce a contradiction. However, in cubic case, expansion of $(a+b\sqrt[3]{2}+c\sqrt[3]{4})^{3}$ is very complicated and even I expand this I couldn't get any contradiction by this.  To be specific, it gives us 3 diophantine equations  $$a^{3}+2b^{3}+4c^{3}+12abc=3$$ $$a^{2}b+2b^{2}c+2c^{2}a=0$$ $$ab^{2}+2bc^{2}+ca^{2}=0$$  and I don't know how to check solvability of this kind of diophantine equations (over $\mathbb{Q}$). Even if there exists a way to check solvability, I cannot convince that it can be used to prove $\sqrt[3]{p}\not\in \mathbb{Q}(\sqrt[3]{q})$.   So I tried to use Galois theory, but actually I don't know where to go. I assumed $\mathbb{Q}(\sqrt[3]{3})=\mathbb{Q}(\sqrt[3]{2})$ and take a Galois closure, i.e. $K=\mathbb{Q}(\sqrt[3]{3}, w)=\mathbb{Q}(\sqrt[3]{2}, w)$ where $w^{3}=1$ then tried to use field norm maps. We can check that $\beta=\sqrt[3]{3}\cdot\sigma(\sqrt[3]{3})\cdot\sigma^{2}(\sqrt[3]{3})\in \mathbb{Q}$ when $\sigma\in Gal(K/\mathbb{Q}), \sigma(\sqrt[3]{2})=\sqrt[3]{2}, \sigma(w)=w^{2}$. But I cannot get any information from this.   Edit : It would be great if there is a simple algorithm to check whether $\alpha\in K$ or not for a given algebraic number $\alpha$ and a number field $K$. On several occasions, I was reading a question thinking "I know a guy that knows the answer to this" and that guy (or gal) also happens to be a registered user. How can I bring this to the attention of this user? $E(|X-Y|)$ for $X$, $Y$ i.i.d and uniform on $[0,1]$ What is $E|X-Y|$ when $X$, $Y$ are i.i.d and uniform on $[0,1]$?   I want to do something like   $$ E(|X-Y|)=\iint_{x&gt;y}(x-y)\;dxdy+\iint_{y&gt;x}(y-x)\;dxdy=2\iint_{x&gt;y} (x-y)\;dxdy $$  But am not sure how to solve that last double integral or if this setup is right. XMLHttpRequest Origin null is not allowed Access-Control-Allow-Origin for file:/// to file:/// (Serverless) The Software Center in Ubuntu 16.04 (Gnome Software) shows only part of the packages available. While e.g. apt list qtcreator correctly lists the corresponding package a search in Software Center finds nothing.  Is there something misconfigured? I upgraded from 15.10. Until now I have used the old Ubuntu Software Center which worked fine. How to know if Mac OS X machine is being remotely viewed? When are you supposed to use escape instead of encodeURI / encodeURIComponent? Hardware issue on iMac, flashing question mark I have an iMac 2008/2009 issue and recently the computer would not boot and I would get a flashing question mark. Ran through all the usual steps, try boot in safe mode, flash RAM,  try single user for fdisk, put in OS disk and boot from CD, etc... No dice.   Replaced the hard drive and put the OS disc in the system, press and hold option. (holding C didn't work) I can see the OS disk but when I click on it the system will act like it is going to run and then freeze. The best I got was the OS X disc that changed the screen to dark grey and told be the system had to restart.  Purchased a usb mount for an external hard drive. Was able to mount the old hard drive to a laptop and run disk utility. Everything checked out.  At this point I am pretty sure it isn't the hard drive.   Any other hard ware items this can point too? My iMAC can also "see" the hard drive (and the recovery partition) when connected via the USB and I hold "option" on start up. But it crashes when trying to boot from either.  I am going to take out and re-install the RAM for giggles but I am not sure what else to do.   Ideas are welcome. Share wireless Internet connection through ethernet Is there a way to get a good human readable error from a COM error in arcEngine? I want my Java code to be typeset in a monospaced font, so I am using the verbatim environment. LaTeX commands are highlighted in Eclipse, but as soon as I use the verbatim environment everything inside and the color of the environment itself becomes gray.  \begin{verbatim}   public class main {  public static void main (string[] args){      for(int i = 0; i &lt; arg.length; i ++){          System.out.println(args[i]);      }    }  };  \end{verbatim}   I'm using the verbatim and alltt packages.  Update 1.  MWE.  \documentclass[xcolor=dvipsnames]{beamer}  \mode&lt;presentation&gt; { \usetheme{CambridgeUS} \setbeamercovered{transparent} }  % Поддержка русского языка \RequirePackage[utf8]{inputenc} \RequirePackage[T2A]{fontenc} \RequirePackage[russian]{babel}  \RequirePackage{amsfonts}  \usepackage{algorithmic} \usepackage{mathptmx} \usepackage[scaled=.90]{helvet} \usepackage{courier} \usepackage{pst-node} \usepackage{pst-tree} \usepackage{auto-pst-pdf} \usepackage{color} \usepackage{colortbl} \usepackage{pstricks} \usepackage{verbatim} \usepackage{alltt} \usepackage{listings} \usepackage{animate} \usepackage{multimedia}  \title{Title}  \author{Name}  \institute{}  \date{\today}  \begin{document}  \begin{frame} \titlepage \end{frame}  \begin{frame} \frametitle{Outline} \tableofcontents \end{frame}  \section{Introduction}  \begin{frame}{Классификация по поколениям}  \begin{itemize}  \item Третьего поколения (высокоуровневые языки) - последовательность высокоуровневых конструкций (циклы, условные выражения, классы, интерфейсы, методы, процедуры, \ldots) \pause  \begin{exampleblock}{Пример}  \begin{centering}  Fortran, C, C++, C\#, Java, Lisp.  \begin{verbatim}  public class main { public statiс void main (string[] args){ for(int i = 0; i &lt; arg.length; i ++){ System.out.println(args[i]); } } };  \end{verbatim}  \end{centering}  \end{exampleblock}\pause  \item Четвертого поколения (для конкретного применения) - последовательность инструкций конкретной предметной области \pause  \begin{exampleblock}{Пример} SQL, Postscript, XML, Mathlab. \end{exampleblock} \pause  \end{itemize}  \end{frame}  \end{document} find value of the $$\lim_{x\to0}\frac{e-(1+x)^{\frac{1}{x}}}{x}$$I use hospital law and can't find answer line 56 syntax error: unexpected end of file I have typed out the code for this mychoice.sh bash example and I keep getting the syntax error: unexpected end of file.  Am I missing something?  mychoice.sh  #!/bin/bash  E='echo -e';e='echo -en';trap ";exit" 2 ESC=$( $e "\e") TPUT(){ $e "\e[${1};${2}H";} CLEAR(){ $e "\ec";} CIVIS(){ $e "\e[25l"} DRAW(){ $e "\e%\e(0";} WRITE(){ $e "\e(B";} MARK(){ $e "\e[7m";} UNMARK(){ $e "\e[27m";} R(){ CLEAR ;stty sane;$e "\ec\e[37;44m[J";}; HEAD(){ DRAW     for each in $(seq 1 13);do     $E "   x                    x"     done     WRITE;MARK;TPUT; 1 5     $E "BASH SELECTION MENU         ";UNMARK;}     i=0; CLEAR; CIVIS;NULL=/dev/null FOOT(){ MARK;TPUT 13 5     printf "ENTER - SELECT,NEXT         ";UNMARK;} ARROW(){ read -s -n3 key 2&gt;/dev/null &gt;&amp;2      if [[$key = $ESC[A ]];then echo up;fi      if [[$key = $ESC[B ]];then echo dn;fi;} M0(){ TPUT  4 20; $e "Login info";} M1(){ TPUT  5 20; $e "Network";} M2(){ TPUT  6 20; $e "Disk";} M3(){ TPUT  7 20; $e "Routing";} M4(){ TPUT  8 20; $e "Time";} M5(){ TPUT  9 20; $e "About  ";} M6(){ TPUT 10 20; $e "Exit   ";} LM=6 MENU(){ for each in $(seq 0 $LM);do M${each};done;} POS(){ if [[ $cur == up ]];then ((i--));fi     if [[ $cur == dn ]];then ((i++));fi     if [[ $i -lt 0 ]];then i=$LM;fi     if [[ $i -gt $LM ]];then i=0;fi;} REFRESH(){ after=$((i+1)); before=$((i-!))     if [[ $before -lt 0 ]];then before=$LM;fi     if [[ $after -gt 0 ]];then after=0;fi     if [[ $j -lt $i ]];then UNMARK;M$before;else UNMARK;M$after;fi     if [[ $after -eq 0 ]] || [$before -eq $LM ];then          UNMARK; M$before; M$after;fi;j=$i;UNMARK;M$before;M$after;} INIT(){ R;HEAD;FOOT;MENU;} SC(){ REFRESH;MARK;$S;$b;cur='ARROW';} ES(){ MARK;$e "ENTER = main menu ";$b;read;INIT;};INIT while [[ "$0" != " " ]]; do case $i in     0) S=M2;SC;if [[ $cur == "" ]];then R;$e "\nS(w     )\n";ES;fi;;     1) S=M2;SC;if [[ $cur == "" ]];then R;$e "\nS(ifconfig  )\n";ES;fi;;     2) S=M2;SC;if [[ $cur == "" ]];then R;$e "\nS(df -h )\n";ES;fi;;     3) S=M2;SC;if [[ $cur == "" ]];then R;$e "\nS(route -n  )\n";ES;fi;;     4) S=M2;SC;if [[ $cur == "" ]];then R;$e "\nS(date  )\n";ES;fi;;     5) S=M2;SC;if [[ $cur == "" ]];then R;$e "\nS($e by oTo )\n";ES;fi;;     6) S=M2;SC;if [[ $cur == "" ]];then R;exit 0;fi;;  esac;POS;done; Saving for retirement without employer sponsored plan Prove or Disprove: If every nontrivial subgroup of a group $G$ is cyclic, then $G$ is cyclic. Prove or Disprove: If every nontrivial subgroup of a group $G$ is cyclic, then $G$ is cyclic.    This is a question from page $181$, Chapter $3.4$ Elements of Modern Algebra ($8^{th}$ Edition) by Linda Gilbert.  My intuition tells me that the given statement is false, however, I cannot seem to find a rigorous argument (or counterexample) to disprove the statement. Can anyone please point me in the right direction?  I know that if a group $G$ is cyclic, then every subgroup is cyclic. This is not an if and only if statement - hence my intuition telling me the above mentioned statement is false. About free quarks and confinement I simply know that a single free quark does not exist. What is the reason that we can not get a free quark?  If we can't get a free quark then what is single-top-quark? Powershell auto complete settings. I was wondering if there was anyway to change the way the current powershell autocomplete works. I have been using bash and had changed them to offer a few features that I'd like in my powershell experience.   Currently powershell as I'm writing a command with a folder it will tab autocomplete and also cycle through my folders. This works how I like but one feature that I miss is using partial matching of a command and hitting the up key and it would find that command that matches the rest of what I do.   So Id write 'echo test'  Then id write other commands and try 'ec' and tap up and 'echo test' would complete and not the last command I typed  Just wondering if there is anyway anyway to get this back?