Prove a function attains each complex value.
Show that the range of $p(z)e^{q(z)}$ for nonconstant polynomials $p$ and $q$ is all of $\mathbb{C}$.
See these sentences:     See there, it seems that someone is inside the house. OVER   See there, it seems that someone is in the house.   Another example:     The doctors found two bullets in his body. OVER   The doctors found two bullets inside his body.   Certainly, both are interchangeable, aren't they? But in the bullet's example, the second one looks natural. I'm not sure why. Is it something that bullets were first out and then they went inside? But if that's the case, someone is in the house is also okay. That person too was out first! Saving Arduino sensor data to a text file Linear Combination of Random Normal Variables In order to prove that the linear combination of two independent normal distributions(say Z=X+Y) is normal, i am using their MGFs to show that the linear combination also has a similar mgf. This works okay when Z = X+Y. But when Z=X-Y, i run into trouble :  E[$e^{tZ}$] = E[$e^{t(X-Y)}$] = E[$e^{tX}$]E[$e^{-tY}$]  Now i cannot put this as $M_{x}$(t) * $M_{y}$(t) because of the negative sign. As an online shopper, I regularly use Amazon to purchase lots of stuff.  When I reconcile my credit card spending, I use Mail.app to search all mailboxes for specific dollar figures (e.g. command-option F, then type 24.95). Prior to Big Sur, finding dollar figures in Mail.app worked perfectly, whether the email messages resided &quot;On My Mac&quot; or on iCloud.  However, since Big Sur, doing a global Mail.app search for numeric strings, especially with a decimal point, doesn't work reliably. For example, I'll do a global search in Mail.app for 65.88 and I'll get one result from a locally archived message from years ago, however a very recent message in my InBox containing that figure is not found.  When I do a single message search (command-F) looking for 65.88, the value IS found. Unsurprisingly, using Spotlight delivers the exact same results. Using mdutil, I've manually erased and rebuilt the Spotlight index, rebuilt my Mail.app mailboxes, deleted all ~/Library/Mail/V8/MailData/Envelope* files to force the Mail.app to re-import everything, and reinstalled Big Sur.  I've also confirmed all my Spotlight settings to assure that Mail and Messages are included in searches, and that the volume where my mail resides is not excluded.  Nothing worked. I should note that I am using one SSD for macOS, and a separate SSD for my Home directory (c/o &quot;Advanced Options&quot; under Users &amp; Groups).  I've had this setup well before Big Sur, again, without any issues. Interestingly, I tried using the Spark email app, which DID successfully find dollar figures without any issue.  I suspect that Spark is not relying on Spotlight to obtain search results, and that's why it works.  (I would use Spark, however it doesn't support local mailboxes.) I've already sent Apple a report using the Feedback Assistant, and I can only hope something will get fixed. Can anyone else confirm this issue with Mail.app on Big Sur?  Any ideas on what else I can do? How do I skip specific tests when building an rpm? I am building an RPM of git version 2.13.0. The build has gone ok but one of the tests are failing:  Config variable ${LIB_HTTPD_SVN} is not defined Config variable ${LIB_HTTPD_SVN_PATH} is not defined   I cannot find any info about these variables so I was going to just skip the tests. How can I do that? What ability should be used when resisting Intimidation? During our last play session (it was our second session, so everyone is first level) my fighter dwarf had a conflict with another player's human fighter. My dwarf became annoyed at the human's dismissive reaction to a roar outside the village that sounded like ogres (my dwarf has a bad history with ogres).   So, in order to emphasize the seriousness of this situation, my dwarf grabbed the human by shirtfront and pulled him closer (done with a successful roll). Still bent double, the human drew his sword and pointed it at my dwarf's belly (dwarf wearing chainmail). At this point the DM made the other player roll an Intimidation (Charisma) check, and me a Wisdom check to resist. I lost and my dwarf, chastened, let the human go.  That was pretty funny situation, but one thing is bothering me. By using a Wisdom check against Intimidation (Charisma), my dwarf (who has &minus;1 Wisdom modifier) was at a disadvantage (literally, not in the D&amp;D disadvantage mechanic sense) against the threats. Although he is a strong and capable warrior, he is not that wise.  But I have to wonder: is willpower really represented by Wisdom in 5e? I think that many not-so-wise creatures/characters can stand bravely against threats.  What ability/skill should be used in a contest to resist intimidation? As an extension to  on equiangular fisheye distortion, how can I calculate equidistant points around an ellipse (or 1/4 segment of) given it's aspect ratio? When it's circular, I can use a simple angle increment around the central point, but as the aspect ratio gets smaller, the length of the arc gets shorter and the angles are no longer equidistant. I am looking for a way to get the output of a command when it is run from within a C++ program.  I have looked at using the system() function, but that will just execute a command. Here's an example of what I'm looking for:  std::string result = system("./some_command");   I need to run an arbitrary command and get its output. I've looked at , but I have not found anything that will give me what I need. The international Stack Overflow sites in Spanish, Portuguese, Russian, and Japanese seem to have a bug in their quick site descriptions (under their titles), for they all start with the word  For...  in English, instead of their respective languages As an example, the Spanish Stack Overflow site description is:  For programadores y profesionales de la informática  Obviously, this isn't something too big of a deal, but since they offer those sites in their respective languages, it would be nice if this issue were fixed. You can see this under &quot;More communities&quot; in the top bar.    You can also see this on the  page, where the descriptions begin with  Q&amp;A for... How do you configure tomcat to bind to a single ip address (localhost) instead of all addresses? Tunnel traffic through another machine over ssh I want to be able to route a portion of my traffic through another machine over SSH. For example, is it possible to browse the web through the ssh tunnel and also browse the web through your LAN connection without much effort? (i.e. I want a seamless transition from using tunnel to using LAN)   Thus it is not a simple how do I tunnel ALL web traffic through ssh tunnel, but moreso how can I setup a tunnel that I can use at my discretion but not impeded my normal traffic flow. (Kind of on an as-needed basis)    I would like the filtered traffic to be encrypted when leaving the LAN and it could be ftp, ssh, web, mail whatever traffic.    Some questions I think I need to answer/address:   Does this require multiple nics?  Does this require setting up a proxy?  Can I even do this the way I want it to function?    Are there other options aside from a tunnel to achieve the result of having some traffic (user decides) encrypted through another machine (outside the LAN) and have other traffic use the normal flow through the LAN and out into the internet world?   Edit: If some of the answers depend on specific traffic types I can be more specific and say that web traffic is a primary focus of this. However, other traffic such as IM/Email traffic would be desirable. Can internal forces do work? My Mechanics textbook claims that the sum of the work by internal forces is not generally zero.  translated to English the paragraph reads:     Notice about the work by internal forces: the work by the internal forces is in general not equal to zero although the sum of the internal forces is always equal to zero. Since the work also depends on the relative displacement of the two pointmasses in the material system, the work provided by these 2 internal forces will generally not be equal to zero.   Other sources claim that the work done by internal forces is always zero.  (answer by Mark Eichenlaub)     Then I didn't do any work on the system at all since, by definition, only external forces can do work.        the net work done by internal forces is zero since they do not cause motion of the object.   To me it would seem that these sources contradict eachother. Do they? If so, which one is correct? If not, please explain why they don't contradict eachother. What is the difference between a tatkal and premium tatkal ticket in Indian Railways? What's the difference between 18 A & 18 Ah on a Battery What's the difference between 18 A &amp; 18 Ah on a 12 V Battery multiplicative group of infinite fields "Software Updater" & "Software & Updates" not working I havent used my Ubuntu for quite a long time.  Today, when I booted Ubuntu (14.04 LTS), the software updater and Software &amp; Updates (from Settings) are not working.  The software updater's window will show up for around 1 sec, but it will close automatically. Software &amp; Updates is never shown, no matter how many times I click the icon. Note that neither of them show any error message.  Those 2 features were working perfectly the last time I used Ubuntu. I want to do some system upgrade and update.  For now, I use sudo apt-get update &amp;&amp; sudo apt-get upgrade. This command runs very fast, meaning (I think) my Ubuntu is not updated properly. The update from software updater always has a big size hence the download should be slower.  What should I do?   Can I just uninstall and reinstall both of them? If I can, how to do it?  Just to clarify, I don't want to upgrade my Ubuntu version (I want the LTS one), I just want to upgrade the software/packages I used.  Thanks for your time. Using a comma before "but" Given two functions $f$ and $g$, is there a formula for the Fourier transform of $f \circ g$ in terms of the Fourier transforms of $f$ and $g$ individually?  I know you can do this for the sum, the product and the convolution of two functions. But I haven't seen a formula for the composition of two functions. How do I use reflection to invoke a private method? There are a group of private methods in my class, and I need to call one dynamically based on an input value. Both the invoking code and the target methods are in the same instance. The code looks like this:  MethodInfo dynMethod = this.GetType().GetMethod("Draw_" + itemType); dynMethod.Invoke(this, new object[] { methodParams });   In this case, GetMethod() will not return private methods. What BindingFlags do I need to supply to GetMethod() so that it can locate private methods? Installing ArcView 3 on 64-bit Windows? How do I install ArcView 3 on 64bit Windows?   There are numerous threads on the Esri forums for how to accomplish this, but the solutions are scattered, inconsistent and disjointed.   This is a request to post integrated and "cleaned-up" solutions, don't just copy and paste. Please indicate if the method is specific to x64 XP, Vista, or 7 (and post seperately, e.g. win7 method in one answer, vista in another).