Since the atmosphere of Mercury is very thin, and only contains negligible amount of Oxygen, Hydrogen, and Helium, can we hear the sound over there? can the sound be transmitted by some mean?
At what pressure will be particles in a medium be unable to form a sound wave when disturbed? How can this pressure be described mathematically?  My guess is that this would correspond to the point at which the restoring force due to pressure is unable to create a transverse wave and the disturbed particles travel infinitely far away before the hypothetical wave reaches it's amplitude. But I have no idea how you would even begin to start finding a quantitative value for this point.
Determining application path in a Python EXE generated by pyInstaller Proving by induction that $1^3 + 2^3 + 3^3 + \ldots + n^3 = \left[\frac{n(n+1)}{2}\right]^2$ Need guidance on this proof by mathematical induction. I am new to this type of math and don't know how exactly to get started.   $$ 1^3  +  2^3  +  3^3  +  \ldots  +  n^3  =  \left[\frac{n(n+1)}{2}\right]^2 $$ How to configure preferred network for internet? I am connected to a LAN network and wireless network. Both provide access to internet.  Sometimes when the internet on LAN is not working, the browser simply throws an exception instead of switching to Wireless. (Wireless is on and local peer computers on wireless are connectible).  Apparently it is giving more priority to LAN. How do I increase the priority of Wireless or set it as an automatic fall back? Singular to plural noun Many nouns that end in ‑f are made plural by changing the ‑f to ‑v‑ and adding ‑es.  +----------+-----------+ | Singular |   Plural  | +----------+-----------+ |  half    |  halves   | |  leaf    |  leaves   | |  shelf   |  shelves  | +----------+-----------+     But some nouns that end in ‑f are made plural simply by adding ‑s.  +----------+-----------+ | Singular |   Plural  | +----------+-----------+ |  chief   |  chiefs   | |  roof    |  roofs    | |  cliff   |  cliffs   | +----------+-----------+   Some nouns that end in ‑f can be made plural in two ways, either by adding ‑s or ‑ves:   +----------+--------------------+ | Singular |      Plural        | +----------+--------------------+ |  scarf   |  scarfs or scarves | |  hoof    |  hoofs or hooves   | |  dwarf   |  dwarfs or dwarves | |  wharf   |  wharfs or wharves | +----------+--------------------+   Now my question is how to determine whether to use only ‑s or to change the ‑f to ‑v‑ and add ‑es? Proof Verification: Converse of Intermediate Value Theorem Plotting layer given with Longitudes [0 360] to [-180 180]? I have a world map in correct Longitudes from -180° to 180°. Additionally, I have a shapefile of data from South America, which shows at 290° instead of -70°. How can I reproject it using QGIS? Are shell scripts sensitive to encoding and line endings? Find and extract a number from a string How to interpret a QQ plot I am working with a small dataset (21 observations) and have the following normal QQ plot in R:     Seeing that the plot does not support normality, what could I infer about the underlying distribution? It seems to me that a distribution more skewed to the right would be a better fit, is that right? Also, what other conclusions can we draw from the data? Scheduling a team based activity with 10 different teams and X different games. Every team must meet each other ONCE but never twice, Hi there I am planning a ”Scavenger hunt”-like activity (I have no other words for this event), and I am having trouble creating the schedule.   The idea of this hunt/run/game/competition is that 10 teams will battle each other at X different mini games. The games on are team vs. team based, meaning that there will always be two teams on each post and one winner and one loser.  I require that every team fights every other team. Meaning that team 1 will have to meet team 2, 3, 4, 5, 6, 7, 8, 9, and 10, and team 2 will have to meet team 1, 3, 4, 5, 6, 7, 8, 9, 10 (and so forth). The amount of mini games must be so, that every team only meets the other teams ONCE each, but still they have to meet every team.  How many posts do I need to create, and how could I schedule the overall activity? (A table of rounds and teams would be much appreciated). Is 'that is' optional? When I write something like this:     I am a man that is doing these things.   Is it correct to shorten it like this?     I am a man doing these things.   And does it require commas? unzip error "End-of-central-directory signature not found" I try to unzip a zip file, but got an error:  $ unzip COCR2_100.zip  Archive:  COCR2_100.zip   End-of-central-directory signature not found.  Either this file is not   a zipfile, or it constitutes one disk of a multi-part archive.  In the   latter case the central directory and zipfile comment will be found on   the last disk(s) of this archive. note:  COCR2_100.zip may be a plain executable, not an archive unzip:  cannot find zipfile directory in one of COCR2_100.zip or         COCR2_100.zip.zip, and cannot find COCR2_100.zip.ZIP, period.   I googled but didn't find a solution. I was wondering why it is and how I should fix it? Thanks!  The zip file can be downloaded from . It is an application, and here is its website .  My OS is 10.10. Browsing folders with more than 100000 images How do you prevent an ENTER key press from submitting a form in a web-based application? Casting two cantrips, both modified by metamagic? Can you cast one cantrip, modifying it with "Twinned Spell" (Fire Bolt) to target 2 creatures, and then cast another cantrip as a Bonus Action (Fire Bolt), using "Quickened Spell" to target one of the previous creatures or another creature? Computing irreducible components of algebraic set How do I expire by type in .htaccess for remote loaded Google fonts? Is it possible to set expire by type for remote fonts or Google analytics? I'm getting this report from GTMetrix and everything I've tried isn't working. Suggestions?  There are 4 static components without a far-future expiration date. http://fonts.googleapis.com/css?family=Open+Sans:300 http://fonts.googleapis.com/css?family=Roboto&amp;subset=latin,latin-ext http://www.google-analytics.com/ga.js http://www.google-analytics.com/analytics.js   All of my other expires are working fine.  But apparently this type of thing isn't right?  ExpiresByType application/x-font-woff "access 1 year" ExpiresByType application/font-woff "access 1 year"   What should I do? How can I efficiently recover a permanently deleted folder at once? Attempted multiple solutions for malwares like androidSystem, timeService and monkeyTest, but to no avail I was trying to install minted package in TeXLive. I installed it and then run sudo tlmgr update --all. It was running slow so I stopped it using Ctrl+Z in an ubuntu terminal and then I run sudo tlmgr update --list. After that I installed texlive-latex-extra and python-pygments. Later on I run sudo tlmgr update --all again and let it finish.  After that I am trying to run a simple code using listings and greek but I get an error     Bad Character code (256)   A MWE that illustrated the problem is the following  \documentclass{book}  \usepackage[english,greek]{babel} \usepackage[iso-8859-7]{inputenc} % %\usepackage[utf8]{inputenc} \usepackage{kerkis} \usepackage{pifont} % %  \newcommand{\sw}{\selectlanguage{english}} \newcommand{\sq}{\selectlanguage{greek}} \newcommand{\eng}[1]{\latintext#1\greektext} \newcommand{\gre}[1]{\greektext#1\latintext}  \usepackage{xcolor} \usepackage{listings} \usepackage{textcomp}  \definecolor{listinggray}{gray}{0.9} \definecolor{lbcolor}{rgb}{0.9,0.9,0.9}  \lstdefinestyle{JavaStyle}{         backgroundcolor=\color{lbcolor},     tabsize=4, %   rulecolor=,     language=Java,      % choose the language of the code         basicstyle=\scriptsize,     % the size of the fonts that are used for the code         upquote=true,         aboveskip={1.5\baselineskip},         columns=fixed,         showstringspaces=false,         extendedchars=false,         breaklines=true,         prebreak = \raisebox{0ex}[0ex][0ex]{\ensuremath{\hookleftarrow}},         frame=single,         numbers=left,         showtabs=false,         showspaces=false,         showstringspaces=false,         identifierstyle=\ttfamily,         keywordstyle=\color[rgb]{0,0,1},         %commentstyle=\color[rgb]{0.026,0.112,0.095},         commentstyle=\itshape\color{green!40!black},         stringstyle=\itshape\color{red!90!black},         numberstyle=\itshape\color{yellow!50!black} }  \lstdefinestyle{CppStyle}{         backgroundcolor=\color{lbcolor},     tabsize=4, %   rulecolor=,     language=C++,       % choose the language of the code         basicstyle=\scriptsize,     % the size of the fonts that are used for the code         upquote=true,         aboveskip={1.5\baselineskip},         columns=fixed,         showstringspaces=false,         extendedchars=false,         breaklines=true,         prebreak = \raisebox{0ex}[0ex][0ex]{\ensuremath{\hookleftarrow}},         frame=single,         numbers=left,         showtabs=false,         showspaces=false,         showstringspaces=false,         identifierstyle=\ttfamily,         keywordstyle=\color[rgb]{0,0,1},         %commentstyle=\color[rgb]{0.026,0.112,0.095},         commentstyle=\itshape\color{green!40!black},         stringstyle=\itshape\color{red!90!black},         numberstyle=\itshape\color{yellow!50!black} } \begin{document}  This is a dummy text. kjhbki \end{document}   The .aux file says  \relax  \select@language{greek} \@writefile{toc}{\select@language{greek}} \@writefile{lof}{\select@language{greek}} \@writefile{lot}{\select@language{greek}}   while the .log file can be found   Any idea why is this happening and how to fix this? Note that if I remove the listings preamble, delete all produced files and build the document, everything works fine.