customize top panel clock in Ubuntu 18.04
Customizing tray/taskbar date display in Ubuntu with GNOME 3
Why do we use "have" with does and not "has"? Let $$ f(x) =    \begin{cases}\begin{align}     1\quad&amp;\text{ if }\; 0\leq x \leq 1 \\     2 \quad&amp;\text{ if }\; 1&lt;x \leq 2 \\   \end{align}\end{cases}$$  Then $\int^2_0 f(x)dx=3$ and an anti derivative of f(x) is $$F(x)=\begin{cases}\begin{align}     x\quad&amp;\text{ if }\; 0\leq x \leq 1 \\     2x \quad&amp;\text{ if }\; 1&lt;x \leq 2 \\   \end{align}\end{cases}$$ But, $F(2)-F(0)=4-0=4 \neq 3.$ Why has this happened?  Find an anti-derivative $G(x)$ of $f(x)$ such that $G(2)-G(0)=3$, the correct answer.  My attempt: $F(2)-F(0)=4 \neq 3$ because we need to break it up into two parts like this: $\int^2_1 2x dx + \int^1_0 x dx = x^2|^2_0 + \frac{1}{2} x^2|^1_0 =4-1+\frac{1}{2}-0=3.5$ but this is not right either. :(  For the "Find an anti-derivative $G(x)$..."I'm completely lost but perhaps if we solve the first part then I'll understand what it's asking for there.  Any help would be appreciated. Short captions for figures in \listoffigures When I use \listoftables and \listoffigures I get in the list long captions that appear next to the tables/figures.  I would like to use short captions for this list which summarize these captions. Is that common to do? If so, what is one way to do it? Is the Death Star’s gravitational force strong enough to hold an atmosphere? The Death Star is the size of a small moon. Endor being a moon (not sure if it's small or not) has a rich atmosphere.  Could the Death Star hold a nitrogen/oxygen based atmosphere with its gravity?  (Now re-reading my question, I suppose this sounds a lot like the plot of SpaceBalls... that was not my intention) To estimate the time for brute-force attack we need to compute keyspace size divided by hash rate, where the hash rate (hash/second) varies depending on the computer's capabilities.  The website  shows the hash rate for different computers.  Can you explain the following two confusing phenomena?   The hash rate decreases as the message size increases. Core i3 has a higher hash rate than Core i7 for SHAKE128. Incompatibility between etextools and etoolbox command \dolistloop (\forlistloop)? Prove $\sqrt{2}$ is between $\dfrac{a}{b}$ and $\dfrac{a+2b}{a+b}$ Let $a$ and $b$ be positive integers. Show that $\sqrt{2}$ always lies between $\dfrac{a}{b}$ and $\dfrac{a+2b}{a+b}$.  Please give the easy solution as possible. Let $f(z)=\sum_{n=0}^{\infty}a_nz^n$ be a holomophic function in the unit disc. Show that if $$\sum_{n=2}^{\infty} n\vert a_n \vert &lt;\vert a_1\vert$$ and $a_1\not = 0$, then $f$ is injective.   I am able to show that $f'$ never vanishes by showing that $\vert f'-a_1\vert &lt;\vert a_1\vert$, but that doesn't imply that $f$ is injective. For example, $e^z$ is not inejective but its derivative never vanishes. What is required to prove that $f$ is injective? How do you show $f$ is injective on any set? Use of capitals and full stops in bullet points Possible Duplicate:          Let's say I have a bullet point list e.g:   Point 1. Point 2.  Point 3.    Notice I have put a capital letter for the starting letter of every bullet point and a full stop at the end. Is this the correct way to do it?  If not, what is the correct way to do it?  Do I put a capital letter and no full stop, or, the other way around, a full stop and no capital letter? Alternatively, do I not put a capital letter or a full stop? Is it only necessary to put a capital letter on the first bullet point and full stop on the last bullet point?  For reference, I'm from the UK so British-English grammar would apply. Pass shell variable as a /pattern/ to awk Having the following in one of my shell functions:  function _process () {   awk -v l="$line" '   BEGIN {p=0}   /'"$1"'/ {p=1}   END{ if(p) print l &gt;&gt; "outfile.txt" }   ' }   , so when called as _process $arg, $arg gets passed as $1, and used as a search pattern. It works this way, because shell expands $1 in place of awk pattern! Also l can be used inside awk program, being declared with -v l="$line". All fine.  Is it possible in same manner give pattern to search as a variable?  Following will not work,  awk -v l="$line" -v search="$pattern" '   BEGIN {p=0}   /search/ {p=1}   END{ if(p) print l &gt;&gt; "outfile.txt" }   '   ,as awk will not interpret /search/ as a variable, but instead literally. Why aren't my turtles breeding? Proof of conservation of energy? How is it proved to be always true? It's a fundamental principle in Physics based on all of our currents observations of multiple systems in the universe. Is it always true to all systems? Because we haven't tested or observed them all. Would it be possible to discover/create a system that could lead to a different result? How are we 100% sure that energy is always conserved? Finally, why did we conclude it's always conserved? What if a system keeps doing work over and over and over with time? Difference estimate & confidence intervals for $\chi^2$ test between 2 proportions I am using a chi-sq test between two proportions (). I am using this over the z-test for proportions because I do not think my data is normal.   My question is how do I get the difference (shift) estimate &amp; confidence intervals for this test.   For example,     Data1: 193/252=.77   Data2: 154/227=.68   P-value=.032 (I used the formula in the link above. I will also add my exact code below)  Shift Estimate: I assume its the difference between proportions, ie .77-.68=.09. Is this correct?   Confidence Interval: ??????????????????  Code for generating P-value (matlab):   % Pooled estimate of proportion  p0 = (n1+n2) / (N1+N2); % Expected counts under H0 (null hypothesis)  n10 = N1 * p0;  n20 = N2 * p0; % Chi-square test, by hand  observed = [n1 N1-n1 n2 N2-n2];  expected = [n10 N1-n10 n20 N2-n20];  chi2stat = sum((observed-expected).^2 ./ expected);  p = 1 - chi2cdf(chi2stat,1);  H=0; if(p&lt;.05), H=1; end Intuitive explanation for how could there be "more" irrational numbers than rational? Domains in cell membrane What does "may they rot there" mean? NSWindow Mac App Store like Title Bar ASP.NET MVC controller actions that return JSON or partial html I am trying to create controller actions which will return either JSON or partial html depending upon a parameter. What is the best way to get the result returned to an MVC page asynchronously? How does one change to engineering for graduate school after undergrad in a science field? I've always had an interest in electrical engineering (actually all engineering in general) and I've decided that I'd like to pursue a graduate degree.  I guess I'm wondering if I should really try to do this or just keep it as a fun hobby I spend all my free time doing.  So, the question is,  how does one change fields between undergrad and grad school?  A specific example follows, but please provide answers that address a more general case, so that your answers will be helpful to other people with the same general question.  I already have a BS and MS in chemistry with a minor in applied math.I published three papers during my MS, one first author in the top journal in my specialty and two as coauthor in an average and a so-so journal.  I hope those will count for something.  I finished my BS with around 3.1 and my MS with a 3.9 gpa.  I'm sure that my MS advisor would write me a great letter.  My GRE scores are too old to count so I'd have to retake it or try and get a pass on it since I already have a graduate degree.  Since finishing school I've been working for 4 years as a chemist.  I can get great recommendations from my supervisor who is a PhD chemist.      I've been working for a while to cover some of the things I would have learned in a BSEE to try and make up for my lack of one.  I worked through some texts on analog/digital design, lots and lots of programming, built a balancing robot that got a bit of internet attention, and I'm currently working on an autonomous robotics project that's looking really good so far.  After that I have more project ideas than I have time or money for.    I want to apply for PhD programs (specifically in controls/robotics) but I'm worried that my application will get tossed right away because I don't have a BSEE.  Maybe I should just apply to MS programs? putting a tikzpicture inside a \caption{} I'm attempting to put a small tikzpicture inside a \caption{} belonging to a figure environment. The reason for doing this is fairly simple - to create an in-caption legend for a PGFplot, with consistency between the TikZ styles in the figure and in the caption. Previously I would have done this using dashes and the xcolor package, however, this is an awful hack. In this MWE:  \documentclass{article} \usepackage{tikz} \begin{document} \begin{figure} \caption{\raisebox{0.5ex}{ \begin{tikzpicture}\draw[dashed,color=red,thick] (0,0) -- (0.5,0);\end{tikzpicture}} Gas--Phase}  \end{figure} \end{document}   The expected output:    is generated, but I get ! Argument of \@caption has an extra }. and ! Paragraph ended before \@caption was complete. Within the larger context of the document that I'm writing, which includes chapters in external .tex files, compilation fails catastrophically (dozens of errors) with no output, so I can't just ignore the warnings in this instance. Any ideas?