What is the correct usage of the word "both" in this example?
'both in terms of' or 'in terms of both'?
How do you start Windows 10 in safe mode? I've been through the Windows 10 upgrade, and am experiencing a recurring "INTERNAL_POWER_ERROR", which is stopping me from logging in.  I'd like to be able to try to boot to safe mode, but it appears that pressing F8 during boot is no longer enough, so how can I boot in safe mode (or any of the other recovery options) on a Windows 10 PC that doesn't let me log on? I just want to write \Sha without ruining everything I realize similar questions have been asked before but I am not satisfied with any of the answers I've seen. I would like to use the Cyrillic letter Ш to denote a particular group in mathematics. Most solutions involve using OT2 or T2A encoding; for example, at . However, this makes the other text in the document look bad.   For example, using the solution above, I get    while I would like to have     The first seems to be shaded strangely and the characters don't seem to align right.  Does anyone know how I can write the character Ш (in math mode) without changing the default font for the rest of the text? I'm wondering if there's a simple way to rewrite this in terms of $k$ and $x$, especially as a polynomial. It seems to me to crop up every so often, especially for $k=2$, when I integrate with trig substitution. But $k=2$ is not so bad, because I can use the double angle formula; it's the prospect of higher values of $k$ that motivates this question.   I think the law of sines may help? Or maybe even De Moivre's theorem, to find the length of the hypotenuse as the length of the angle changes, if we think of the right triangle drawn from $\arcsin(x)$ with side1 = $x$, hypotenuse = $1$, and side2 = $\sqrt{1 - x^2}$ as a complex number, though I'm not sure how that might work. Possible Duplicate:          If I am using the word model in the context of financial models and the UK, then which of these words should I use? Also, are there any key difference in the meanings of the two? How to reduce Eclipse's memory usage? HTTP GET request in JavaScript? Of Half-elven and mortal life When half-elvens choose mortal life, how would their bodies behave?  Half-elven are always elves by nature. Ever since they're born, their physical body and behaviour would be elvish - they have keen senses, they don't get physically weary, no illness, and so on.  Half-elvens are then offered a choice - Immortal elvish lives or mortal fate of men. When they choose the latter, like Elros and Arwen did, what would happen to their elvish nature? Would they lose it? I don't think they would lose their pointy ears, but what about the other elvish features that I mentioned before?  Are there any canonical references? Show that if $a$ is an odd integer and $b$ is an even integer then $\gcd(a,b)=\gcd(a,b/2)$ Show that if $a$ is an odd en integer and $b$ is an even integer then $\gcd(a,b)=\gcd(a,b/2)$.  I understand that since $a$ is not divisible by $2$ but $b$ is, the gcd of $a$ and $b$ also can't be divisible by $2$ but I'm getting stuck using this to help me. Problem writing aux file Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point? Is the function $f(x) = \lim_{k \to +\infty} \tan{kx}$ a right example?  But I do not know whether this is a function at first. Is this a function?  Could you give a correct real-valued function that is continuous at precisely one point?  Thanks. Are background jobs and foreground jobs always in running state? A job can be running or stopped (suspended).  When we are talking about foreground jobs and background jobs, are we only talking about running jobs?  Are background jobs and foreground jobs always in running state?  Does it make sense to say whether a stopped job is foreground or background? a) Give a combinatorial proof that for every $n \geq r \geq 1$ that:  $$\sum_{i = 0}^{n} \binom{i}{r - 1} = \binom{n + 1}{r}$$  And use (a) to concoct a formula for $1^2 + 2^2 + ... + n^2$ Does transparency work in eevee I have been trying to create a transparent lens using the eevee rendering engine in 2.8 but the transparency slider has no effect. Has this feature not been implemented yet? I've looked all over the Web for an answer with no luck. I'm a noobee so am probably doing something wrong. How to install Gnome 3 without breaking Unity? I tried installing gnome 3 , but it broke Unity and I had to reinstall Natty from scratch.  Does anyone know if there is a way to install Gnome 3 without breaking Unity? How to find modulo of large numbers like $9801\! \pmod {\!32}$ It is easy to calculate small examples like $26\pmod {5}$ but how do you calculate examples like $9801 \pmod {32}$ without a calculator. Why do cars gain lift while going at a high speed? I've been researching the physics involved with spoilers and I've just been turning up the same information about spoilers giving the back wheels of a car more traction by acting as an up side down airfoil.   So my question is, what exactly causes the car to apparently gain lift while moving quickly, so as to merit the use of a spoiler, and is this entirely due to the aerodynamics of the vehicle in question?   Edit: Clarity of question. Does a GFCI receptacle provide overcurrent protection? Does a GFCI receptacle provide over-current protection? (note that I'm not referring to GFCI circuit breakers as may be found in a service panel, nor to specialty devices such as an inline plug-in GFCI that may offer over-current protection)  I've checked some GFCI  (note, this link opens a PDF) but haven't found any that mention overcurrent protection, or provide trip curves as would be expected in a circuit breaker datasheet.  So, does a GFCI receptacle provide any inherent over-current protection or must it always be used with a circuit breaker for over-current protection?  This question was prompted by  where the answer suggests using a GFCI outlet as a circuit breaker. This seems like very big misconception of the protection offered by a GFCI, and is potentially dangerous if it leads someone to think that GFCI outlets are the same as circuit breakers. Present tense in Flashback story for something that is still true now? I'm wondering whether I should use the present tense for a descriptive statement but in a past context. For example:     (1) I went to the zoo and saw a giraffe last week.       (2) A giraffe is a mammal with long neck.       (3) It is the first time I see that animal with my own eyes.   Statement (2) is a description of a giraffe in general, not the specific one in the zoo, so is it correct to use is?  Statement (3) is an event that is still true now, so should I use is and see?  I'm not native speaker so forgive me if the question is very obvious to others. Would "mid-to-late" and "low-to-mid" hyphenated as compound modifiers? Would "mid-to-late" and "low-to-mid" be hyphenated as compound modifiers?  Examples:  Temperatures are expected to be in the low-to-mid 60s.  Joe, I think, is in his mid-to-late 80s.  He was in his middle-to-late 40s.  She was in her middle-to-upper 60s.  Temperatures are expected to be in the lower-to-middle 70s.  Are all correct?  Thanks!!! How to include graphics with spaces in their path? I want to import graphics into my main input file using the macro \includegraphics. It does not work if the filename contains spaces.   also discusses this subject, but there is no solution there.  My compilation routine is latex->dvips->ps2pdf (because of PSTricks).