I have a Samsung LCD monitor measuring 21 inches. The refresh rate is 60 Hz, but if I select a setting higher than that, I get an error.  I actually don't know the exact screen resolution of my PC, but it shows refresh rate around 60 - 72 Hz I think.  Right now, i set to 1600 x 900. Is it safe?   Can setting the wrong refresh rate damage my monitor?
I work on different types of monitors (CRT, LCD) and all PCs have the same screen refresh rate as 60 Hertz. Recently I've read an article which claims that low refresh rates cause headaches. The writer states that 60 Hertz is a low refresh rate and should be increased to the maximum value that the monitor supports. If I increase this value to the maximum as the monitor can display (for example 75 Hertz), does it damage the monitor in the long term? Answers about the pros and cons of low &amp; high refresh rates would be highly appreciated.
given a polynomial $p(x,y)$ from $\mathbb Z[x,y]$. I want to substitute $x=1$ leaving $y$ as it is. The command Value(p,[1,y]) does not work. Can you give me a hint?  After that it gets a little more complicated. Let  $$p(x,y)=x^6+y^6$$ After substituting $x=1$ we have $p(1,y)=1+y^6$. Given a natural number $j$. I want to find all expressions $y^j$ in $p$ and substitute these $y^j$ by $1$ and the others by $0$. In this case (and for $j=6$) we would get $1+1=2$. If $$p(x,y)=x^4y^2+x^2y^6$$ we should get $0+1=1$. Is there any way to do this?  Thanks for reading! edit: Well, it turns out I used the function Value wrong. The right code for my problem would be Value(p,[x,y],[1,y]). So my first question is solved. Is there a way in javascript to detect if the unload event is caused via a refresh, the back button, or closing the browser? I am currently looking at the "unload" event of a window to try to determine how the "unload" event was triggered, but am having little success. Is there a way to determine how the javascript event was triggered?   Page Refresh Back Button (or navigate away from the page) Closing the Browser   Essentially I need to execute some code only when the browser window is being closed, not refreshed or navigated away from.  Purpose: When a customer does an update of our software, the update will redirect their first Internet request to an offer page. There is a button for a "Do Not Bother" option, but some users will simply close their browser. Upon closing the browser, I need to duplicate the "Do Not Bother" functionality so the user no longer gets redirected to the offer page. Simply attaching to the "unload" event will not work due to the different ways of leaving a page. The new search function allows quoted queries that include punctuation, and this is fantastic, most of the time. However, the search considers the punctuation as part of the word itself, so searches for "a test" will not show results containing a test,, a test., or a test?. The reverse is also true.  Is this the intended behavior ? &lt;--(space added so that behavior will show in results.)  It seems that the logical way to do fix this (while maintaining character search) is for queries with punctuation to match results with punctuation, while queries without punctuation to match either with and without.    Example:  vs     A more practical example is described in Arjan's answer below. Before upgrading to macOS Sierra, I really liked the Character Accent Menu by doing a long press on a key (for example, the character e) and being able to add an accent on it.   However, this functionality seems to not work anymore, and so far, I can't find out why?   Also, before, doing a long press on the delete button, would repeatly delete characters. Now, it is doing only one character deletion disregarding how long I'm pressing the key. So if I want to erase 10 characters, I need to press the delete button 10 times...  Also, I am not able to log off or shut down. When doing it, all applications are closed, status bar disappears but nothing happens. The dock remains here. I have no way to shut down or log out without doing a long press on the power button.  Is someone facing the same issue?  EDIT : Logging with a new user account or guest account fix all the problems. But I still would like to know what, in my user account, became corrupted during the upgrade. Why does the series $\sum_{n=1}^\infty\frac1n$ not converge? I would like to know the physical meaning of the , if there is any? I've used it in thermodynamics and classical mechanics and it seemed only a change of coordinates? What kind of ring $R$ makes $\mathcal O(\mathrm{Proj}\,R[x_0,\cdots,x_n])=R$? I remember seeing an upper bound for the binomial $\binom{n}{k}$ with an exponential function, something like $\binom{n}{k}\leq \left(ne/k\right)^k$. What exactly is it, and are there other similar good upper bounds for $\binom{n}{k}$?  Edit: As the link in Macavity's comment shows, the bound is indeed $\binom{n}{k}\leq \left(ne/k\right)^k$. How can we prove this? Construct a network of citations How can I prevent Chrome from offsetting newly opened Window? When I open a new Window in Chrome on Windows 7 (by pressing CTRL+N), the new window does not exactly overlap the existing window.   Instead it is offset to the right slightly.   So, immediately after opening a new window I have to manually move it to the left so that it uses the full screen real estate.   Is there a way to prevent this offset? Proof of $n^2 \leq 2^n$. I am trying to prove that $n^2 \leq 2^n$ for all natural $n$ with $n \ne 3$. My steps are:    induction base case: $n=0:$ $0² \leq 2⁰$ which is okay.    inductive step: $n \rightarrow n+1:$ $(n+1)²\leq2^{n+1}$ $$(n+1)^2 = n^2 + 2n + 1 = ...help...\leq 2^{n+1}$$   I know the bernoulli inequality but don't know where to use it, if I even need to. I have problems when it comes to proving things which are based on orders.. The Quotation Mark character in TeXworks editor has vanished Now, my version of TeXworks is 0.4.5r.1280 and I can't have the " character on the keyboard.    I have ``  or '' instead. Why?  And It's the same with Alt+034. I'm very disappointed with that. How can I download an APK file from the Play Store? Why I can't connect to VPS after changing OS from CentOS to Ubuntu? What is an observer in quantum mechanics? My question is not about (pseudo) philosophical debate; it concerns mathematical operations and experimental facts.  What is an observer? What are the conditions required to be qualified of observer, both mathematically and experimentally? Concatenating numbers and adding in leading zeros? I have three text fields populated as follows: 1, 9, 1 that I need to concatenate into a field that looks like 01.09.01.  Getting to 1.9.1 is easy but can anyone help out with how to formulate it so that each value has two places (i.e. add in those zeroes).  I used to do this in Excel but can't figure out how to work in ArcMap 10. What is used in the 12.10 full disk encryption? I have 2 graphics cards (Tesla k10, K40) in my supermicro SuperServer (7047GR-TPRF). I installed Ubuntu Server 14.04, but when I install cuda or Nvidia graphics driver (version 311 or 340), my Ubuntu desktop hangs on login. MacBook Pro never goes to sleep I got a brand new mid-2015 MacBook Pro 15", OSX 10.11.3.  Display never turns off even it is configured to turn off after 10 mins in power adapter AND in battery mode. Screen saver (aerial) stays active forever. I tried disconnecting all USB peripherals connected - it did not help.  Any ideas? Do I need to activate the firewall? I only use Ubuntu for a home desktop use? I am a novice at Ubuntu (12.04).  I have it on my netbook which I use mainly for surfing the net, learning python and remote desktop into my work computer.    Do I need to enable a Firewall type software?  If so, what would you suggest, and what are sensible default suggestions?