Running for loop with two variables?
How to read from two input files using while loop
How to execute two mysql queries as one in PHP/MYSQL? How does one prove that every finite group is isomorphic to a subgroup of an alternating group? I have updated my kubuntu 14.10 to kubuntu 15.04. And now after boot, when I enter my password on welcome screen, I will get black screen. It's looks like screen powered off. No cursor, no change brightness. Nothing. And when I try switch to text consoles (Ctrl+Alt+F1) nothing happening. If I doesn't login in welcome screen I can switch to text console. How can the following inequation be proven?  $$a^2 + b^2 + c^2 \ge ab + bc + ca$$ How to prove that you have significant ties with family in your home country? Can I have my iPhone play sound for MacBook? Say I am playing a video on my MacBook Pro, and I don't want to distract others with the sound. The problem is, I don't have a 3.5 mm Headphone or AirPods at my hand, but I have an iPhone 8 Plus and its EarPods with Lightning Connector. Can I play the sound from the video playing on macOS with the iPhone, preferably without connecting the iPhone to the Mac so that I can plug in the EarPods to the iPhone's socket?  This is basically the reverse of Get lists of dependent picklist options in Apex Intuition behind measurable random variables and $\sigma$-algebra I've been trying to understand $\sigma$-algebras and how it encodes information in context of filtration. While certain parts seem clear and logical, I can't say I get the whole picture.  I'll try to explain the counter-intuition I get with the classical example of : the probability space $\Omega = \{ HH, HT, TH, TT \}$ and a r.v. $X(\omega)$ equal to the number of heads.  At times $0$, $1$ and $2$ the available information is represented using $\sigma$-algebras $\mathcal{F}_0=\{\emptyset,\Omega\}$, $\mathcal{F}_1=\{\emptyset, \Omega, \{HH,HT\},\{TH,TT\}\}$ and $\mathcal{F}_2=\{\emptyset, \Omega,\{HH,HT\},\{TH,TT\},\{HH\},\{HT\},\{TH\},\{TT\}\}$.  One can notice that $X(\omega)$ is not measurable with respect to $\mathcal{F}_0$ and $\mathcal{F}_1$, because $X^{-1}((\frac{3}{2}; +\infty))=\{HH\}$. To me it is quite surprising: intuitively $X$ makes perfect sense at all times. In particular it has an expected value at time $0$, which I interpret as that the probability and value of all outcomes $\{\omega\}$ can be computed. How do you think of a non-measurable function?  Here's another way of expressing the same confusion. The most natural choice of $\sigma$-algebra in a finite discrete case is $\mathcal{F}=2^\Omega$, and it is implicitly used in all elementary probability problems. However, this choice of $\mathcal{F}$ does not reflect the fact that some information is known or unknown, conditional probability does. Does it mean that the statement "$\sigma$-algebra is known information" make sense only in conditioning? Why is it convenient then? Update: Failed to lock /var/cache/apt/archives/lock I am running the upgrade(12.10 to 13.04) through terminal and it keeps getting stuck at this:  Failed to lock /var/cache/apt/archives/lock   What do I do? I have root access. I have no idea what else to try other than a clean install.  Checking package manager Reading package lists... Done     Building dependency tree           Reading state information... Done Building data structures... Done   Calculating the changes Calculating the changes  Do you want to start the upgrade?   3 packages are going to be removed. 155 new packages are going to be  installed. 1204 packages are going to be upgraded.   You have to download a total of 595 M. This download will take about  1 hour 15 minutes with a 1Mbit DSL connection and about 23 hours with  a 56k modem.   Fetching and installing the upgrade can take several hours. Once the  download has finished, the process cannot be canceled.    Continue [yN]  Details [d]y  Fetching  Could not download the upgrades   The upgrade has aborted. Please check your Internet connection or  installation media and try again. All files downloaded so far have  been kept.   Failed to lock /var/cache/apt/archives/lock    Restoring original system state  Aborting Reading package lists... Done     Building dependency tree           Reading state information... Done Building data structures... Done  root@chaitanya-XPS-Ubuntu:~# Creating new layers using ArcPy to define Definition Query for each field value? I am trying to set multiple definition queries for one layer based on one field using python.  ie.  I have a City layer with a field that holds the city name.  I want a copy of the layer in an MXD with the Definition query set for each value in the City field.  So essentially, I have one source layer, with a copy of the layer as many times as there are values in the City field.  The query would look like this: CITY = 'Atlanta' Prove that$$\overbrace{\binom n 0 + \binom n 1 + \binom n 2 + \cdots + \binom{n}{\frac{n-1} 2}} + \overbrace{\binom n {\frac{n+1} 2} + \cdots + \binom n {n-1} + \binom n n} = 2^n. $$   Background:  This problem came from the following link:    and I didn't understand why that was true in which no one on the page has proved it to be so. and i was wondering what was the proof on that Find a plane that passes through a point and is perpendicular to 2 planes Can I install any iOS version I wish by picking and choosing which firmware to restore? I'm trying to downgrade my iPhone from the current iOS to an older one, as per .  But every time I try, I always receive this error:     The iPhone could not be restored. This device isn't eligible for the requested build.     I have tried many times with and without DFU mode. Any ideas regarding this? How do you disable browser autocomplete on web form field / input tags? How do you disable autocomplete in the major browsers for a specific input (or form field)? Installing Ubuntu from a partition on internal drive I am about to install Ubuntu on my new laptop, but I don't have access to a USB drive of any sort and it doesn't have an optical drive. Would it be possible to boot into the Ubuntu installer if I save it to a new partition on my hard drive and boot from there via the BIOS?  In case you need it, , which lists my system specifications.  Thanks in advance for any assistance you may be able to provide. :) I'm trying to insert a figure into my LaTeX file using the following syntax:  \begin{figure}   \centering   \includegraphics [width=3in]{fig1.png}   \caption{Calculation of shortest path betweenness}   \label{Fig.3:Shortest path betweenness} \end{figure}   It worked for me before but this time I'm getting the following error:   LaTeX Error: \begin{figure} on input line xxx ended by \end{document}   Also, hovering over the red cross symbol indicating error in Eclipse, I see this message    paragraph ended before Gin@iii was completed.   It's obvious that I have the \end{figure} to end my \begin{figure} so I don't understand how I still get that error.  Can someone please tell me what the problem is?  Edit: Add more details for debugging. The problem went away if I remove '[width=3in]'. Here is the detail error:  pdflatex&gt; Runaway argument? pdflatex&gt; width=3in]{fig1.png} \caption {Caption} \label {Fig.1}  pdflatex&gt; ! Paragraph ended before \Gin@iii was complete. pdflatex&gt; &lt;to be read again&gt;  pdflatex&gt;                    \par  pdflatex&gt; l.40  pdflatex&gt;        pdflatex&gt;  pdflatex&gt; Underfull \vbox (badness 10000) has occurred while \output is active pdflatex&gt; (./document.bbl pdflatex&gt;  pdflatex&gt; Package natbib Warning: Empty `thebibliography' environment on input line 3.   Added sample code:  \documentclass[10pt,psfig,letterpaper,twocolumn]{article} \usepackage{geometry} \usepackage{graphics} \usepackage{setspace} \usepackage{natbib} \usepackage{verbatim} \usepackage[scaled=0.9]{helvet} \singlespacing \paperwidth 8.5in \paperheight 11in \oddsidemargin 0in \headsep 1.3cm  \geometry{left=0.75in,top=0.75in,right=0.75in,bottom=1in} \textwidth 7in  \textheight 9.25in \columnsep 0.4in \footskip 0in  \renewcommand{\bibname}{REFERENCE} \pagestyle{empty}  \begin{document} \bibliographystyle{acm}   \title{\fontfamily{phv}\selectfont{\huge{\bfseries{Title here}}}} \author{ {\fontfamily{ptm}\selectfont{\large{\bfseries{author name}}}}\thanks{contact info }}  \maketitle \thispagestyle{empty}  \section*{\fontfamily{phv}\selectfont{\normalsize{\bfseries{Section name}}}}  \begin{figure} \centering \includegraphics[width=3in]{fig1.png} \caption{Caption} \label{Fig.1} \end{figure}  \pagebreak[4] \vspace*{5.52in} \bibliography{ref} \end{document} Shouldn't the Terms of Service use Stack Overflow, Inc.? The  still uses the term Stack Exchange, Inc. However, I believe that the name is now Stack Overflow, Inc. , so I believe that should be changed to that. It is weird to have the wrong name in a legal document.   Yes, I actually read the Terms of Service. You should also do that. I am trying to connect to a Linode (running Ubuntu 12.04 LTS) from my local machine (also running Ubuntu 12.04 LTS)  I have created a private and public key on my local machine and copied my public key to my Linode's authorized_keys file.  However, whenever I try to ssh to my Linode I get the error message Permission denied (publickey).    It's not a problem with how ssh is set up on my Linode because I can ssh to it from my Windows machine using key authentication.    In my .ssh directory on my local Ubuntu machine, I have my id_rsa and id_rsa.pub files.  Do I need to create an authorized_keys file on my local machine?    EDIT:  This is what I get when I run ssh -vvv -i id_rsa [youruser]@[yourLinode]:  debug3: authmethod_lookup publickey debug3: remaining preferred: keyboard-interactive,password debug3: authmethod_is_enabled publickey debug1: Next authentication method: publickey debug1: Offering RSA public key: id_rsa debug3: send_pubkey_test debug2: we sent a publickey packet, wait for reply debug1: Authentications that can continue: publickey debug2: we did not send a packet, disable method debug1: No more authentication methods to try. Permission denied (publickey). I understand if you travelling in or to the US, you can lock your luggage using the TSA Luggage Lock. (Immigration is still able to open your luggage using their own special keys)  How about Europe? Especially Heathrow + Charles de Gaulle?    If the TSA Lock is not acceptable in Europe, are there any other alternative precautions I could use instead?  (FYI, information about the ) How do I write a correct micro-benchmark in Java?