Year Old Or Years Old?
"a ten years old boy" or "a ten year old boy"
Which command should I use for displayed equations? A number of related questions have already been asked about this issue:       and even    But I'm still confused by the conflicting suggestions that have been given so far. So I'm trying again.  Which should be the preferred command to produce a displayed equation in my LaTeX documents?  So far the suggestions indicate that one should use \[ ... \], maybe \begin{equation*} ... \end{equation*}, or maybe even the gather* or align* environments from amsmath.  And one should definitely avoid using either $$...$$ or the eqnarray environment.  Now I have to say that, from a language perspective, I have a strong preference for the equation* environment because it is less cryptic than the \[ ... \] notation and it is  the most accurate.  So, is it fine to use equation*? Maybe only after loading amsmath? Or should the equation/equation* environment be redefined to something else so that spacing, package support, or whatever is improved? How do I make Thunderbird open links in Chromium? I want to be able to click links in Thunderbird emails and have them open in Chromium (package name chromium-browser). Instead, they open in Firefox.  I have tried the following:   xfce preferred applications (Chromium is not listed, so I had to hunt down the executable) -- next time I run chromium, it complains that it is no longer the default browser. Telling Chromium to set itself as the default browser. Thunderbird opens links in Firefox. update-alternatives. It's already listed as an alternative at the same priority as Firefox. The "open web browser" app menu item opens Chromium. Thunderbird opens links in Firefox.   I have looked through the entire preferences gui in Thunderbird (but not the advanced config editor yet) and seen nothing that mentions what browser to open links in.  Please note that this is not Google Chrome. Example of vector space such that $cv = 0$ where $c \ne 0$ and $v \ne \vec{0}$ Is there an example of a vector space $V/F$ such that $0 \ne c \in F$, $\vec{0} \ne v \in V$, but $c \cdot v = 0 $?  I couldn't think of an example. Recently, I accidentally deleted a partition off of my external hard disk. I had a copy of Minitool Power Data Recovery left over when the same drive had become RAW about a year ago. When I selected lost partition recovery, it immediately identified my deleted partition and allowed me to access and recover the files that were there.  My question is this. Is there any way to change the deleted partition back to NTFS without having to have a drive that you need to recover the files to and then move them back after formatting, as I don’t have any space left on either the computer or on my other external hard drive, so that I don’t need to buy a new one. The files on the disk were really important.  I am using Windows 7 Home Premium.  I appreciate any help in solving this crisis. Is it possible to add multiple materials to a text object? I know that for a mesh you can go into edit mode and select vertices and assign a specific material to them quite easily. I want to know if it is possible to do this with a Text object (which has no vertices). Gaussian/Normal plots from a data distribution in scientific notation I am new to Tex and trying to plot a gaussian distribution from a set of values. I have the following set of values and would like to plot a normal distribution for them.  2.9954E-09  3.1314E-09  3.1155E-09  3.0940E-09  2.8861E-09  3.0875E-09  2.9685E-09  3.0532E-09  2.9003E-09  3.0931E-09  I have tried using the sample code but can't figue out where to input my values.   \begin{tikzpicture} \begin{axis}[   no markers,    domain=0:6,    samples=10,   ymin=0,   axis lines*=left,    xlabel=$x$,   every axis y label/.style={at=(current axis.above origin),anchor=south},   every axis x label/.style={at=(current axis.right of origin),anchor=west},   height=5cm,    width=11cm,   xtick=\empty,    ytick=\empty,   enlargelimits=false,    clip=false,    axis on top,   grid = major,   hide y axis   ]   \addplot [very thick,cyan!50!black] {gauss(x, 3, 1)};  \pgfmathsetmacro\valueA{gauss(1,3,1)} \pgfmathsetmacro\valueB{gauss(2,3,1)} \draw [gray] (axis cs:1,0) -- (axis cs:1,\valueA)     (axis cs:5,0) -- (axis cs:5,\valueA); \draw [gray] (axis cs:2,0) -- (axis cs:2,\valueB)     (axis cs:4,0) -- (axis cs:4,\valueB); \draw [yshift=1.4cm, latex-latex](axis cs:2, 0) -- node [fill=white] {$0.683$} (axis cs:4, 0); \draw [yshift=0.3cm, latex-latex](axis cs:1, 0) -- node [fill=white] {$0.954$} (axis cs:5, 0);  \node[below] at (axis cs:1, 0)  {$\mu - 2\sigma$};  \node[below] at (axis cs:2, 0)  {$\mu - \sigma$};  \node[below] at (axis cs:3, 0)  {$\mu$};  \end{axis}  \end{tikzpicture}   Your assistance will be highly appreciated. Thanks! After swapping the positions of the hour and the minute hand, when will a clock still give a valid time? Solutions of $x^2 \equiv 1 \pmod N$ I am stuck with this exercise:     Show that $\forall s &gt;0 \quad \exists N &gt;0$ such that $$x^2 \equiv 1\pmod N$$ has more than $s$ solutions.   I think I cannot use the theory if quadratic residues, because the modulus is not prime, so maybe I must prove it with square roots or roots of unity, but I don't know how to approach it at all.  Thanks for any help. Do you need line of sight to cast spells on someone? Why are the holodecks on Voyager in use if they have energy issues? I'm watching the first two seasons of Voyager and various episodes have commentary on having energy limitations -- but we constantly see crew using extremely complicated holodeck simulations. Why would they allow use of the holodeck if they need to conserve energy? The difference between GPU and CPU I know what a CPU is(I think). It's the thing who's speed is measured in GigaHertz(these days).  However, you hear a lot about a GPU, and letting the GPU take over, not letting the CPU but the GPU do it, GPU-based rendering, etc...  What is this GPU anyway? How can I access it and use it to my advantage? What am I missing out on here? How to make an alias permanent? I have created an alias:  alias shh='sqlplus hfdora/hfdora@hfd1"     After creating this alias I was able to enter my database only by typing shh.  But after closing my shell, I wasn't able to find the alias next time. Even after typing only alias, shh was not showing in the list.  Is there any file to make an alias permanent so that it will not be erased? Chrome 100% CPU usage, again - software_reporter_tool.exe software_reporter_tool.exe belonging to Chrome running at 100% cpu, fan full speed.  Deleting it doesn't fix anything, because it gets redownloaded again! Disabling "Protect me from bla bla" doesn't make it stop running.  Please anyone have any solutions? Unknown Column In Where Clause I have a simple query:  SELECT u_name AS user_name FROM users WHERE user_name = "john";   I get Unknown Column 'user_name' in where clause.  Can I not refer to 'user_name' in other parts of the statement even after select 'u_name as user_name'? During Thor's interrogation, Agent Coulson exits the room and Loki enters and informs him that his father Odin had passed away and that he cannot undo his banishment. Not only does he communicate with Thor, but he goes to the area where Mjölnir is embedded in the rock and attempts to lift it, with SHIELD scientists and agents completely oblivious to his presence. Loki shows a similar ability when he converses with 'The Other' and when he manipulates Erik Selvig. Is this a part of Loki's illusion powers or another one of his abilities that has not been addressed? How was he able to visit Earth without using the Bifrost? Autofilling fields based on another field Given 4 integers, $a, b, c, d > 0$, does $\frac{a}{b} < \frac{c}{d}$ imply $\frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}$? We were trying to come up with an easy way to generate a rational number in between two existing rational numbers with a fairly low numerator and denominator (the way we were doing this earlier was to find the average of the two rationals, but that results in a denominator of up to $c * d$. Does this inequality hold for all values of $a, b, c, d$? Counting the number of propagating degrees of freedom in Lorenz Gauge Electrodynamics How do I redirect a domain to another domain locally? My /etc/hosts file looks like this:  127.0.0.1       localhost 10.20.7.67      testsitealpha.dev othersite.dev   testsitebeta.dev   The first two work. The last one doesn't. Why not? How do I make it work? The reason I am doing this, is because I have a test server (othersite.com), which is on the local network, but it's ip can vary. e.g. 10.20.7.98 one day, 10.20.7.35 another, etc.  So, how do I make my system always resolve testsitebeta.dev to the same ip as othersite.dev? How to get my actual data from ContentNote API in Salesforce using SOQL?