Is a hyphen required after "much"?
Hyphen or no hyphen when modifying an adjective with a quantity?
Word or idiom for someone holding (seemingly) contradictory views I think some good words would be conflicted, or confused. As an example of context, think of someone who believes in freedom of speech, but, at the same time, they would support banning comedians who make jokes about certain issues that person cares about. How do I restore the default repositories? What's is the difference between ">" and ">>" in shell command? Could someone explain to me the difference between &gt; and &gt;&gt; when using shell commands?  Example:  ps -aux &gt; log ps -aux &gt;&gt; log   It seems the result is the same either way. Why does Worf want O'Brien to go to Minsk? I've just watched the last 20 minutes of an episode of Deep Space 9, and towards the end Worf is very insistent that O'Brien and his wife move to Minsk. Is there any in or out of universe reason for this? What else do I need to produce two dots above o? $\mathcal N (A):=\mathcal P(A)\setminus\{\varnothing\}$ notation Visit to US before F1 using the Visa Waiver Program I am going to start a phd at the US with an F1 visa. University told me that I could enter the US only 30 days before the date on I-20. Since English is not my first language (and this would be a big change in my life) I would like to go there by June.  The thing is that I have an European passport with a valid ESTA. My plan would be to arrive with this passport, stay 4-6 weeks , go to Canada for a short vacation (maybe flight maybe by land) and come back to the USA with F1 visa.  I have two questions about this:  1) is this possible?   2) If yes, how could I justify knowing I will lose my come-back flight during my first entry? (I would purchase round trip because one-way are too expensive, probably with less than 90 days difference) What's the best way to deal with hot/stuck pixels in long exposure night photographs? I discovered red/blue/white pixels on my night photographs tonight. Trying to confirm this, I took a black image with the lens on and indeed I saw a whole lot of them (I didn't count them but at least a good fifty on the whole picture).   I'm not exactly sure if they are hot pixels, stuck pixels or anything else.  I quickly gave a check to my last exported JPEG files (I get RAW out of the camera) and couldn't find anything. After a quick search, I've seen that Lightroom is caring about those pixels after RAW conversion.  I've read that, with Canon DSLRs, there is a software process that could take care of that directly on my camera. I don't know if I can use it without getting things even more messy.   My question is: Considering my crazy pixels are not visible on my pictures, should I get too emotional about them? My camera is under warranty but is it really worth it to return it to Canon? If it's only to receive it back 1 month later after Canon just used the very same menu to map out the pixels, it's a bit ridiculous. Could this be a sign that my camera has a bigger problem?  It seems related to shutter speed. When shooting a black image at 1/250s I get nothing. When shooting the same setup but 1s, I get a few of them. The more I increase the shutter speed, the more crazy pixels I get. A does the same B as does C A question about the higher-order Weyl variation for the geodesic distance I have a question in deriving Eqs. (3.6.15b) and (3.6.15c) in Polchinski's string theory vol I p. 105.   Given      $$\Delta (\sigma,\sigma') = \frac{ \alpha'}{2} \ln d^2 (\sigma, \sigma') \tag{3.6.6}$$   where $d(\sigma,\sigma')$ is the geodesic distance between points $\sigma$ and $\sigma'$.   It is said for the Weyl variation $\delta_W$,     $$\partial_a \delta_W \Delta(\sigma,\sigma')|_{\sigma'=\sigma}= \frac{ 1}{2} \alpha' \partial_a \delta \omega(\sigma) \tag{3.6.15a} $$   $$ \partial_a \partial_b' \delta_W \Delta(\sigma,\sigma')|_{\sigma'=\sigma}= \frac{ 1+ \gamma}{2} \alpha' \nabla_a \partial_b \delta \omega(\sigma) \tag{3.6.15b} $$   $$ \nabla_a \partial_b \delta_W \Delta(\sigma,\sigma')|_{\sigma'=\sigma}= - \frac{  \gamma}{2} \alpha' \nabla_a \partial_b \delta \omega(\sigma) \tag{3.6.15c} $$   Here $\gamma=-\frac{2}{3}$.   I know the reason for the factor of $1/2$ in the RHS of Eq. (3.6.15a) and I can derive it. But, putting $\nabla$ on LHS and RHS of Eq. (3.6.15a) will not lead to (3.6.15c). I guess it is because there is some higher-order terms in the geodesic distance where the treatment of (3.6.9)-(3.6.11) omitted. But I don't know how to get it. I tried $ds^2= g_{ab} dx^a dx^b= (\eta_{ab} + h_{ab})dx^a dx^b $ to separate the deviation of Minkowski metric, but I cannot get the factor $\gamma$   My question is, how to derive Eqs. (3.6.15b) and (3.6.15c) (especially there is a prime, $'$, namely $\partial'_b$ in the LHS of (3.6.15b) but not in the RHS) I don't have administrator account on my mac On my mac I have 2 accounts and the both are normal account. So in this moment I don't have a Administrator account, only one that was in the past a administrator, but now is not.  How I can have again a Administrator account? Is there a way to see my previous performances with respect to winter-bash? May be something like leagues for winter-bash? I understand that hats are different each year, but at least it would be nice to see the number of hats collected. Crossbow Expert Feat... for Spells? I was thinking about creating a wizard character. Reviewing the spellcasting rules, I saw this:  Most spells that require attack rolls involve ranged attacks. Remember that you have disadvantage on a ranged attack roll if you are within 5 feet of a hostile creature that can see you and that isn't incapacitated (see chapter 9).  There are a lot of occasions that might arise that would make this a problem, or at least a bit of a hindrance. So as a D&amp;D player normally would when they wanted to break a rule without actually cheating, I went to a list of feats and found Crossbow Expert:  Thanks to extensive practice with the crossbow, you gain the following benefits: You ignore the loading quality of crossbows with which you are proficient. Being within 5 feet of a hostile creature doesn't impose disadvantage on your ranged attack rolls. When you use the Attack action and attack with a one handed weapon, you can use a bonus action to attack with a hand crossbow you are holding.  I may be (am) overthinking things, but does this apply to magic attacks, such as cantrips like Eldritch Blast or Fire Bolt? The literal meaning of the feat says that I can, but it could also imply by the title and also the effects of the feat that this only applies to crossbows, or any other ranged weapon, excluding magic. The strongest evidence that it might not affect ability with ranged magic attacks is:  Thanks to extensive practice with the crossbow  With a crossbow, not with magic. PHP validation/regex for URL I've been looking for a simple regex for URLs, does anybody have one handy that works well?  I didn't find one with the zend framework validation classes and have seen several implementations. Include chapters in List of Figures with titletoc? Can we use "there is" for plural nouns? Aborting evaluation when the memory exceeds a certain limit Is the sign of principal components meaningless? Does the sign of the vectors returned by PCA have any significance after I center my variables? How to open a new Terminal with shell prompt and running multiple commands in Command Line? I want to Open a new Terminal in from within terminal.  It should have Shell prompt as well as already run few commands.  How to do it ? Compare double in VBA precision problem I have trouble comparing 2 double in Excel VBA  suppose that I have the following code  Dim a as double Dim b as double a = 0.15 b = 0.01   After a few manipulations on b, b is now equal to 0.6  however the imprecision related to the double data type gives me headache because  if a = b then  //this will never trigger end if   Do you know how I can remove the trailing imprecision on the double type?