Is the phrase 'one pair of' considered a singular noun or a plural noun?
"The pair was ..." or "the pair were ..."
How to render an object with both a base mesh wireframe and subdivision surface wireframe? Let $M$ be the space of all $m\times n$ matrices. And $C=\{X\in M|rank(X)\leq k\}$ where $k\leq \min\{m,n\}$. How to proof that C is a closed subset of M? Text in an equation This is best explained by example. Suppose I have the following:  \[     \begin{align*}     C_3 \rightarrow 6 automorphisms\\     C_4 \rightarrow 8 automorphisms\\     C_5 \rightarrow 10 automorphisms     \end{align*} \]   How can I get the word "automorphisms" to display as if it were not enclosed by the brackets? What is the difference between "accumulative" and "cumulative"? I'm having a hard time understanding the real distinction between  and .  accumulative     adjective         tending to accumulate or arising from accumulation; cumulative.   tending to accumulate wealth; acquisitive.      cumulative     adjective         increasing or growing by accumulation or successive additions: the cumulative effect of one rejection after another.   formed by or resulting from accumulation or the addition of successive parts or elements.   of or pertaining to interest or dividends that, if not paid when due, become a prior claim for payment in the future: cumulative preferred stocks.      These definitions (and those from other dictionaries as well) say different things but I can't understand how they aren't really meaning the same thing.  Yet, when thinking about it, it seems there are some cases where it is distinctly more correct to use one or the other.  What's the difference, practically? Coconut Water from White vs Brown Coconuts Coffeescript existential operator sometimes checks against undefined, but not always Correct spelling of Polish surname Dziubenofska? My Polish grandmothers last name was Dziubenofska, but I know that's not how it is spelt! I'm looking for the proper spelling.   Can you help find it for me?  She came over to Ellis Island and they changed it on her to dziuk. This is only a prefix to the full name. Do multiple instances of the Extra Attack feature stack? How to prove the divisibility rule for $3\, $ [casting out threes] The divisibility rule for $3$ is well-known: if you add up the digits of $n$ and the sum is divisible by $3$, then $n$ is divisible by three.  This is quite helpful for determining if really large numbers are multiples of three, because we can recursively apply this rule:  $$1212582439 \rightarrow 37 \rightarrow 10\rightarrow 1 \implies 3\not\mid 1212582439$$ $$124524 \rightarrow 18 \rightarrow 9 \implies 3\mid 124524$$  This works for as many numbers as I've tried.  However, I'm not sure how this may be proven.  Thus, my question is:     Given a positive integer $n$ and that $3\mid\text{(the sum of the digits of $n$)}$, how may we prove that $3\mid n$? Can we get by as English speakers visiting Iceland? We're going to Iceland for the first time in September. Will we be able to get around ok just speaking English, or should we try to learn some rudimentary Icelandic? And is that even what their language is called? Repeated Iteration of a 2x2 matrix Suppose I am given a $2$x$2$ matrix $A=$ \begin{pmatrix} a &amp; b \\ c &amp; d \end{pmatrix}  And an initial vector $x_n$ = \begin{pmatrix} x_0 \\ y_0\end{pmatrix}.  Under repeated iteration $x_{n+1} = Ax_n$, we find that $x_{n+1}$ converges to a line in the direction of the $eigenvector$  of $A$ of the form $X$= $[u,mu]$ where $m$ is the slope of the line.  I know that this process somehow also involves the largest $eigenvalue, \lambda,$ of $A$, though I am unsure how it connects.  My question is: How does the largest eigenvalue connect to this repeated iteration, how do I find the slope of the line of convergence $m$, and what is meant by the "direction of the eigenvector"? Analysing the "kind(s) of problem(s) are [ones]/[to be]" construction A. These kinds of problem are to be avoided. B. These kind of problems are to be avoided.  Are both A and B grammatical? If not, why not? If so, after having noticed the parallelism between A and C, and between B and D, could we say that C and D are &quot;standard&quot; English, too?  C. These kinds of problem are ones to avoid. D. These kind of problems are ones to avoid. can anyone help me with this, I got stuck on it.  let $a_n$ and $b_n$ (for $n$ a non-negative integer) be two sequences of real numbers such that $\lim_{n\to \infty}a_n=a$ and $\lim_{n\to \infty}b_n=b$. prove that $\lim_{n\to \infty} \frac{a_0b_n+a_1b_{n-1}+....+a_nb_0}{n}=ab$. What happens to the view.frame.size attribute after a CGAffineTransform (Rotate)? Not packages and not all applications. Just the applications user installed by himself from whatever source (Software Center, manually added PPA, etc.). If the above is not possible - a list of all installed applications or at least a GUI which lists the applications so I can take screenshots of it.  I've read a dozen of similar questions and people posting answers usually don't even get close to OP question merit. Please note that my question includes 'user installed'.   Answer: It is not currently possible in Ubuntu Linux.  (choosing tijybba's answer as the closest one though) Follow a pipe using less? Can less follow (by pressing F) a piped input (similarly to a file)? For a file that is being written to, the command  less &lt;file&gt;   will follow the file when pressing F.  But if I have a command that pipes output directly into less, like this  command | less   pressing F will do nothing.  So it looks like pipes cannot be followed like files can? Or maybe it has to do with command also writing to STDERR? The effect I'm trying to achieve is always see the latest output of the command: just like keeping PageDown pressed!  A related remark holds for G (go to end): when piping directly to less, it won't work. Read MIME data using PHP Best way to start investing, for a young person just starting their career? I am young, just started my career, and looking to begin investing so I can make my money work for me. I'm still living like I did in college (occasional purchase on myself, but most of it goes into savings) and I would like to take the extra money and invest it.   What would you suggest are the best options for me to begin? I was considering getting a personal investor [a financial advisor] for perhaps a year or so, but I've heard that they really are not worth the money. I wanted to get the input of the great minds here. The result of ls * , ls ** and ls *** I know using the command ls will list all the directories. But what does the ls * command do ? I used it and it just lists the directories. Does the star in front of ls mean how deep it will list the directories? INACTIVE_OWNER_OR_USER