Solve functional equation $(x+y)(f(x)-f(y))=f(x^2)-f(y^2)$
Find all functions $f$ such that $(x+y)f(x)+f(y^2)=(x+y)f(y)+f(x^2)$
Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach How can I speed up D&D 3.5e combat? I'm looking for ways to speed up the combat in my D&amp;D 3.5 game. It seems that turns - both player and non-player - simply take too long. I have thought about giving everyone a 30 second timer, but I'm afraid that might inhibit their ability to come up with strategy and tactics. Is there an English phrase for an inability to actually *leave* already? There is a Hungarian expression, küszöbgörcs, which literally means "threshold-cramp", and is used to describe that long conversation you have in the entryway, with all the guests awkwardly holding their coats and purses, and every so often somebody says something like "Ok, we really have to leave now, but just one more thing...", and then the conversation is good for another half an hour at least.  I've searched in vain for an equivalent idiom in English, yet I feel sure it must exist: I know English speakers are equally susceptible to this malady, it's not a uniquely Hungarian thing. I will sometimes use literal translations, like the aforementioned threshold-cramp (or doorway-spasm), but then I need to explain it, and that's less than satisfactory. (Plus it leads to more threshold cramping.) Python "if X == Y and Z" syntax Current measurement maximum time On my multimeter I have two current measurement connection. One for the mA and one for the A.  On the ampere one there's a time limitation but not on the mA one. Also they mention in the manual a kind of "cooldown time" after the measurement for the A one. So, basicaly, probing with this input can really slow down my project. (max 15 sec every 5 minutes)  My question is, I have to switch to that A one for a 600-700mA current (mA input is 500mA), as it's not a "big" current, can I bypass this limitation ? Is it design for higher current only or any measurement done on that input ? It's a middle-end multimeter but even the online datasheet is not complete about what. (Was excepting a kind of measured current/cooldown time graph) Black screen when creating movie I've rendered about 300 frames for a short clip. The frames look fine, but when I compile into a movie all I get is a black screen. I haven't been able to find anything to solve this problem. The individual frames are well lit, capture what I want them to, look great. Just creating the AVI or MPEG results in a clip that has nothing but black. Hereditary properties with nested frames (mdframed and tikz) What is this plastic chip packing material called? WiFi Adapter AX201 Not Found: Ubuntu 18.04 Please note that this question is specific to Intel WiFi adapters.  My laptop is an HP ENVY with an Intel AX201 Wifi Adapter. I've dualbooted Ubuntu with Windows.  AX201 WiFi adapter is not supported by latest Ubuntu 18.04 version, because Ubuntu 18.04 comes with Linux Kernel 5.0, whereas support for AX201 comes built-in in Linux Kernel 5.2+. Canonical claims that Ubuntu 18.04 will get Linux Kernel 5.3 sometime next year. However, I wont be able to wait that long.  I tried downloading and installing Kernel 5.2.14, but I cant go beyond Grub: I get the error:     error: you need to load the kernel first.   Other option is to download the Intel Backport Driver, which I tried. That didn't seem to work either. As per the tutorials, I've restarted frequently, but that didnt work either.  Also I'm not quite sure if Intel IWLWIFI Backport driver supports AX201 in the first place.  WiFi works while I'm booted in Windows.  What should I do?  Thanks in advance!  UPDATE  I tried out @Pilot6's answer, and it worked. Thanks!  I have one last question: I've read that if you upgrade the Kernel beyond what Ubuntu 18.4 supports, its kinda unsafe (which I read as prone to system crashes).  I dont want system crashes because I have only one partition (root) for Ubuntu, and any crash would likely mean all my data is lost. One method forward would be to split my Ubuntu partition into root and home.  So if I want to access WiFi on my device safely without risking any crashes, what should I do?  My understanding of Ubuntu and Linux may be wrong as they are built on forum answers only. Please correct me if Im wrong anywhere. I've been working with Corel Draw previously and now i use Illustrator more.Still getting used to some of their features though. I want to insert an image into a circle I've drawn but i don't know how to go about it.It is called power clipping in Corel. Any answers would be appreciated. I found  presentation document by D. J. Bernstein. Is it possible to create it in latex?  Screenshot Unable to 'apt-get dist-upgrade' due to appstreamcli database error I have created a USB stick with a persistent Ubuntu 16.04 (release version). I tried a couple of ways, using Startup Disk Creator and MultiSystem, but I get the same end result.  When I boot into the USB and do 'apt-get update', all is well.  When I try 'apt-get dist-upgrade' I get:     ** (appstreamcli:2761): CRITICAL **: Error while moving old database out of the way. AppStream cache update failed.   The only reference to this error message I can find is  but would appear to be fixed, at least fixed by the time the release version of Ubuntu 16.04.  Aside: I want to test Unity8, which includes installing software.  I don't have a spare computer, so I thought a persistent USB would do the trick.  Any takers? About number truncation of ticks display in ListPlot As it is common with people from my country, I have an immense difficulty with prepositions in English, especially with the use of in and on.   When the preposition indicates the position of the object it is a bit easier to decide which one to use, but as it requires thinking from me, I still say things like "I put the bill in the fridge", "my pencil is on my bag", etc, even though if I think about it, I would know how to say it correctly.  Of course, even in those cases where the preposition indicates position the decision is not always clear, as is the case for example with "on the bus" (you are not on top of the bus, you are inside the bus) or "he is in bed" (you are not inside the bed, you are on top of your bed).  Other cases are even less clear, and I believe there is no real rule to decide what should be said; the person should just know it. Two examples are "in a bad mood", "you are on my mind".  So my first question is whether there is really no rule to help me. The second question refers to two of the cases where I still don't know whether to use in or on:   good luck on/in your exam in/on the list   The last one is especially important to me, as I have asked a number of native speakers, and each time I get a different answer. The only consensus seems to be the case where you say "on top of the list". Apart from that, some people will say that I should say "his name is in the list" whereas others think I should say "his name is on the list". And yeah, a couple of people did tell me that I can use either.  Can someone help me? What is the name of the genre of games similar to Jetpack Joyride? What's the easiest way to figure out if a window is opened modally or not?  CLARIFICATION:  I open a window calling   myWindow.ShowDialog();   I have a footer with an "OK" &amp; "Cancel" button that I only want to show if the window is opened modally. Now I realize I can set a property by doing this:  myWindow.IsModal = true; myWindow.ShowDialog();   But I want the window itself to make that determination. I want to check in the Loaded event of the window whether or not it is modal.  UPDATE  The IsModal property doesn't actually exist in a WPF window. It's a property that I have created. ShowDialog() blocks the current thread.   I'm guessing I can determine if the Window is opened via ShowDialog() by checking if the current thread is blocked. How would I go about doing that? After mis-reading this question:  I found myself wondering if there are other non-weapon items such as tools that utilize lightsaber technology.  Example: the lightsaber bread knife When customers buy things from a store, you say:  (1) Customers give ABC Store business.  If I "turn this around", can I say:  (2) ABC Store obtains or acquires business from its customers.  Do these verbs work in (2)? Retrieving date in sql server, CURRENT_TIMESTAMP vs GetDate() Using SQL Server - which is the fastest or best practice method to use for date retrieval? Is there a difference? How does the basic RS Flip-Flop (also known as latch) works?