Geometry Quadrilateral Proof Question
Area of a quadrilateral proof
Can anyone help me out with how to make Bing Picture to my Desktop Wallpaper?    So it works by downloading the highest quality of todays picture. Then storing it ex in the Picture folder of your account. After that automatically changing the picture itself.  It should continue the same everyday without hassle in the background.  Probably something I have to add in the Startup Applications. Any differences between Ubuntu versions?    -Do I have to write a script?  This would be appreciated by many others too! Thank You in Advance :) How to use C++ 11 features in the latest version of g++ Newbie here. I just got an error running from the terminal a C++ program I wrote: error: ‘stoi’ is not a member of ‘std’. They told me the compiler is too old.  I'm using Ubuntu 14.04.  My g++ version is 4.8.4.  How do I upgrade? Having line color vary with data index for line graph in matplotlib? Equality holds in triangle inequality iff both numbers are positive, both are negative or one is zero How do we show that equality holds in the triangle inequality $|a+b|=|a|+|b|$ iff both numbers are positive, both are negative or one is zero? I already showed that equality holds when one of the three conditions happens. The MathJax code in Mathematics Stack Exchange doesn't render after I updated to the new version (It used to):     App Version: 1.6.2.5 Device: iPhone 6s OS Version: Version 9.0 (Build 13A342) How to turn hundreds of text URLs in Excel into clickable hyperlinks? Even though I have the latest Adobe Flash player 11.2 for Linux in Firefox -   - a particular online flash game still requests that I update to the latest flash player.  I've tried this online game on my laptop (Windows 8 with Flash Player 11.8) and it has no problems.  Is there a way to trick Ubuntu or this game into thinking Flash Player 11.8 is "installed"? In the 70's I had a stack of old Amateur Radio magazines (50s-60s), and for a long time I saved an article about using the  to combine a number of resistors to achieve a specific value. Does anyone recall and have a copy of this article, or know how the Euclidean algorithm is applied to solve this problem? Proof that every repeating decimal is rational Why do the Walking Dead Zombies only show intelligence in the very first episode? I enjoy The Walking Dead, however one question keeps nagging me. The 'Walkers' are always shown to not have any intelligence or memory of having been human. This is for all seasons except the very first one.  In the very first scene of Season One, Episode One, we see a little zombie girl stop to deliberately pick up a teddy bear from the ground.   Later in the same episode we see a zombie apparently try to turn the door knob to get into Morgen Jones' house.  Also at Atlanta they can climb fences and used rocks to break glass.  After season 1 I do not recall seeing any such intelligence demonstrated by a zombie again.  My question is: are these initial displays of intelligence a discrepancy in the story, or is there a plausible explanation why the Walkers performed these actions? Distribution of sum of exponentials Let $X_1$ and $X_2$ be independent and identically distributed exponential random variables with rate $\lambda$. Let $S_2 = X_1 + X_2$.  Q: Show that $S_2$ has PDF $f_{S_2}(x) = \lambda^2 x \text{e}^{-\lambda x},\, x\ge 0$.  Note that if events occurred according to a Poisson Process (PP) with rate $\lambda$, $S_2$ would represent the time of the 2nd event.   Alternate approaches are appreciated. The approaches provided are commonly used when learning queueing theory &amp; stochastic processes.     Recall the Exponential distribution is a special case of the Gamma distribution (with shape parameter $1$). I've learned there is a more general version of this  that can be applied. What is "preimage resistance", and how can the lack thereof be exploited? How is this different from collision resistance, and are there any known preimage attacks that would be considered feasible? Solve differential equation:  $x'=x^2- \frac{2}{t^2}$  Maybe is it sth connected with homogeneous equation? I have no idea how to solve it. Why the principal value of complex number argument is taken within $(-\pi,\pi]?$ Why the principal value of complex number argument is taken within $(-\pi,\pi]?$ What is the harm in considering similar other intervals like $[0,2\pi)$ for the purpose? Regex to match only letters Row colour gaps in tabularx with \aboverulesep and \{} \documentclass[]{article} \usepackage[table,dvipsnames]{xcolor} \usepackage{multicol,booktabs,tabularx}  % Table settings \renewcommand{\aboverulesep}{1pt} \renewcommand{\belowrulesep}{1pt}  \begin{document}     \begin{tabularx}{\textwidth}{@{}X l@{}}         This is Header 1 &amp; This is Header 2 \\         \toprule         \rowcolor{Apricot}         This is Text 1 &amp; This is Text 2 \\\midrule         This is Text 1 &amp; This is Text 2 \\\midrule         This is Text 1 &amp; This is Text 2 \\         \bottomrule     \end{tabularx} \end{document}   I have the above table MWE using tabularx, and I am trying to colour the row from the table. However, due to the use of my \aboverulesep and \belowrulesep, I now have gaps above and below my table row that is not coloured.   Also, because of the use of my @{} on either side of the table to 'remove' the excess padding on the sides of the table, the row colour is being applied in those padding as well.   Qn 1: How can I colour the aforementioned gaps (arising due to the \aboverulesep) in, while maintaining the rule separation?   Qn 2: How to remove the colour from the two sides of the table?     EDIT  This is in response to Zarko's answer. I want to maintain the use of @{} on either side to remove the padding. If I were to adapt this into your answer, like so:  % @Zarko's answer \documentclass{article} \usepackage[table,dvipsnames]{xcolor} \usepackage{booktabs, cellspace, tabularx}  % Table settings \renewcommand{\aboverulesep}{0pt} \renewcommand{\belowrulesep}{0pt} \setlength\cellspacetoplimit{5pt} \setlength\cellspacebottomlimit{5pt}  \begin{document}     \begin{tabularx}{\textwidth}{@{}SX Sl@{}}% &lt;-- S is append for activate additional vertical space          This is Header 1 &amp; This is Header 2 \\         \toprule         \rowcolor{Apricot}         This is Text 1 &amp; This is Text 2 \\\midrule         This is Text 1 &amp; This is Text 2 \\\midrule         This is Text 1 &amp; This is Text 2 \\         \bottomrule     \end{tabularx} \end{document}   I obtain this:   and so my second question (Qn2) is still unresolved.. For Qn 1, I prefer to use the solution by @Skillmon with \renewcommand{\arraystretch}{1.15} as I need not add a new package. How should a GM deal with "standing orders?" Cardinality of $\mathbb{R}^\mathbb{R}$ by diagonal argument I want to prove that the set of all real functions $\mathbb{R}^\mathbb{R}$ has a higher cardinality than the real numbers $\mathbb R$, by Cantor's diagonal argument.  I'm having difficulties with approaching this problem.  What I'm looking for is a hint in the right direction.  I've seen an example where it is shown that the power set $2^S$ of a countable set $S$ is uncountable, by the diagonal argument. Is posting a very long quote OK for an answer? I just found  to a question on SO. While it provides a source for the (very long) quote, I do not like the fact that the answerer just posted the quote, without adding anything. Maybe add highlights/emphasis or remove uninteresting passages. Or skip the quote altogether and write a short summary. I feel, in the current form, this should have been a comment that just links to the original article.  Am I too pedantic? Should I flag this as not an answer? Should I downvote it? What do you think about such answers? Radiation– white vs black house, hot or cool? In my book's thermodynamics chapter, it says that an      "object that radiates heat faster also absorbs heat faster. This means   that an object that is a more efficient radiator comes to equilibrium   with its environment more quickly. With this in mind, is it better to   paint your house black or white?"   I am confused which it would be. The book says white because      "in summer, you house is cooler than the environment and white   reflects away the heat. In winter your house is warmer than the   environment and white radiates away the heat"