What's the rule for using a/an before an adjective?  I am asking this question because my high school professor is teaching us that  we shouldn't use a/an before an adjective. With some 'exceptions' like "Picasso was a famous painter."   Now that sounds very strange to me because I am used to saying "It's a beautiful day.", not "It's beautiful day.", or "It's a small dog.", not "It's small dog". My professor also pointed out that "Picasso was a famous painter." was some kind of exception because "a" is used before an adjective. My professor also told me that this sentence is correct : "A mouse is an animal. It's small animal."  Like I said, for me, It's a very strange claim that we shouldn't use "a" or "an" before an adjective. What should I say to my professor? I would like your professional opinion about this.  Thanks.  Notice: This question isn't about 'a' vs 'an'. Read the question before marking it as a duplicate.
In the following example, is it appropriate to use a or an as the indefinite article, and why?     He ate __ green apple.   I know that in the case of just "apple", it would be "an apple," but I've heard conflicting answers for "green apple," where the noun is separated from the article by an adjective.  Also, which is more appropriate in this case:     He ate  __ enormous Pop-Tart.
Alternatively, why does the force created by blowing out air feel so much stronger than the force created by sucking in air?  Ok, so forget the human factor involved in blowing out candles. Consider a vacuum cleaner with a suction end and a blower end. Anyone who has tried it out notices the blower end creates a much stronger force than the suction end, despite the discharge being (more or less) equal at both ends.  Why does this happen? How to pass Unicode characters as JSP/Servlet request.getParameter? Setting constraints causes the location of the constrained objects/bodies not be accessible I set up 2 bodies manually &amp; assigned Copy Location constraint to one with respect to another body. Then I set up the keyframe for the guiding body &amp; then I started to view the change in the location of the constrained body. What I noticed in the 3D viewport was the constrained object moves, but when I look into its real position the values are stagnant. Why is that? I was unable to find my answer in previously asked questions by other people !! How to delete column/field in PyQGIS? Too many blanks between summation symbol and its associated expression I recently upgraded to windows 10 on my daily driver laptop and I have liked it so far except for one thing. Randomly the windows menu decides to stop working when I press the windows key or I press the button in the corner. Has anybody else experienced this problem? Solutions?  Thanks! reports:  Two mathematicians have uncovered a simple, previously unnoticed property of prime numbers [...]. Prime numbers, it seems, have decided preferences about the final digits of the primes that immediately follow them. Among the first billion prime numbers, for instance, a prime ending in 9 is almost 65 percent more likely to be followed by a prime ending in 1 than another prime ending in 9.  Do these insights make breaking keys based on primes more mathematically plausible in a shorter amount of time? Don't remember the exact start to the story, but it went something like "walking along a path" or something, and when he hears what sounds like a shotgun blast behind him, he then feels something strike him in the butt. He passes out, and when he awakens, he discovers that the "shotgun blast" was actually a miniature spaceship that exploded and shot miniature aliens into his body. The aliens prove to be very beneficial because they clean up all the toxins and other poisons in his body. They can be transmitted through kissing or sexual activity.  Any help with the name of the story would be greatly appreciated.  Dan Cross-reference packages: which to use, which conflict? Inspired by my earlier question , here is another similar question.  There are many different packages for making cross references. Among them , , , , … The  package defines its own cross-referencing command for theorems…  Which collection of packages provides which kind of functionality, and which packages cause conflicts with each other? Pass the output of previous command to next as an argument find an approximate solution, up to the order of epsilon The question is to find an approximate solution, up to the order of epsilon of following problem.  $$y'' + y+\epsilon y^3 = 0$$ $$y(0) = a$$ $$y'(0) = 0$$  I tried to solve the given problem using perturbation theory.  $$y(t) = y_0(t) + \epsilon y_1(t) + \epsilon^2 y_2(t) + \cdots$$ $$t = w(\epsilon)t = (1 + \epsilon w_1 + \epsilon^2 w_2 + \cdots )t$$  However, i failed to find an appropriate approximate solution... help me!! I know this question is asked a lot, but the solutions I saw didn't work for me.  I only have one virtual host enabled, and I'm trying to enable access to a folder that's not under the document root  ServerAdmin webmaster@localhost DocumentRoot /var/www/html  Alias /movies /home/username/Videos/Movies  &lt;Directory /home/username/Videos/Movies/&gt;     Options Indexes FollowSymLinks     AllowOverride None     Require all granted &lt;/Directory&gt;   I set /etc/apache2/envvars as follows  export APACHE_RUN_USER=www-data export APACHE_RUN_GROUP=public   I made sure that /home/username/Videos/ and its sub folders are owned by username:public, set the permissions to 777 (after 775 didn't work) and made sure that user www-data belongs to group public.  Now, when I browse to http://localhost/movies I get  [Mon Apr 21 11:28:14.971844 2014] [core:error] [pid 1385:tid 140067725104896] (13)Permission denied: [client 127.0.0.1:46603] AH00035: access to /movies/ denied (filesystem path '/home/username/Videos') because search permissions are missing on a component of the path   But when I set /etc/apache2/envvars to run Apache under username (my own username) everything works fine. The problem is permission related, but I don't see how in my case; especially when I set the permissions to 777. Any ideas?  P.S. Ubuntu version is 14.04, Apache is 2.4.7 and I didn't edit other configuration files. Find each line matching a pattern but print only the line above it I need to find a string and need to print the line above it.   case1: The same line won't have the more than one matching pattern   ie)  consider a file containing  $cat &gt; para returns between the paragaraphs italic or bold     quotes by placing italic   Here i need to find for italic, and i need to get the output as below   returns between the paragaraphs quotes by placing   How can i get the output like this? I'm a quarter Draconian, a quarter Dragonborn and half Half-Dragon? What are the differences between "Dragonborn", "Half-Dragon", and "Draconian" races in D&amp;D?  In the Hoard of the Dragon Queen adventure, for example there is  a Half-Dragon npc. I had assumed that when writing the adventure they were only allowed to use known material from Basic, and so renamed the Dragonborn into "Half-Dragon" for the sake of compatibility etc. However, the dragon breath rules are not at all similar for the half-dragon and the dragonborn, and I've also noticed wiki article that imply that they are different races entirely. (Thus introducing me to the term Draconian)  Are there clear differences between these three races, (in the same way there are differences between Goblins and Hobgoblins, or Dragonborn and Lizardfolk and Kobolds,) or are they really just three different setting names for the same basic race?  Answers can either be D&amp;D 5e specific, or be based on the lore from all editions of Dungeons and Dragons. (I'm assuming here that the answer will be the same regardless)  Here are two images, the first one is a "half-dragon" from the front of the Hoard of the Dragon queen module, and the second one is a "dragonborn" from the 5e player's Handbook.  I've included these images to help explain my confusion. C++ STL Vector Iterator accessing members of an Object I think I've declared a Vector with an object correctly.  But, I don't know how to access it's members when looping with Iterator.  In my code, the line --->>  cout &lt;&lt; " " &lt;&lt; *Iter;  How do I print the contents of the members?  Like *Iter.m_PackLine ???  Not sure if I used the correct terminology, but appreciate the help!  Thanks  class CFileInfo {   public:       std::string m_PackLine;       std::string m_FileDateTime;       int m_NumDownloads; };  void main() {   CFileInfo packInfo;    vector&lt;CFileInfo, CFileInfo&amp;&gt; unsortedFiles;   vector&lt;CFileInfo, CFileInfo&amp;&gt;::iterator Iter;    packInfo.m_PackLine = "Sample Line 1";   packInfo.m_FileDateTime = "06/22/2008 04:34";   packInfo.m_NumDownloads = 0;   unsortedFiles.push_back(packInfo);    packInfo.m_PackLine = "Sample Line 2";   packInfo.m_FileDateTime = "12/05/2007 14:54";   packInfo.m_NumDownloads = 1;   unsortedFiles.push_back(packInfo);   for (Iter = unsortedFiles.begin(); Iter != unsortedFiles.end(); Iter++ )  {     cout &lt;&lt; " " &lt;&lt; *Iter; // !!! THIS IS WHERE I GET STUMPED     // How do I output values of the object members?   } }  // end main How to determine if $n (n \geq 2)$ given numbers can be summed up to a certain number? I'm interested in knowing if there's a theorem for checking if combinations of $n$ given positive numbers can be summed up to a certain number.   For example, if I was given $n = 2$ numbers, which are $k_1$ and $k_2$, and I was asked if I could make a combination like $n_1 * k_1 + n_2 *k_2 = C$, all $\in \mathbb{N}^+$, I could check remainders to see if it is possible.   However, if $n = 3$ or higher, how could I check if combinations of $k_1, k_2, ..., k_n$ can be summed up to a $C$? Thank you for any inputs! How can I bake the cloth simulation into keyframed vertices or shape keyed vertices? I'm simulating a cloth. How can I bake the cloth simulation into keyframed vertices or shape keyed vertices? The  of March 01, 2013 put it's distance at 14 hrs 04 mins 23 secs of light-travel time from Earth. A  (earlier today) tweet says it is 14 hrs 04 mins 22 secs of light-travel time from Earth. An  tweet put it still further out at 14 hrs 04 mins 25 secs of light-travel time.  The Voyager 2 tweets on Voyager 1's proximity to Earth too has reduced similarly to  earlier today from  reported on Feb 28 2013  It could quite simply be a typo ... If not a typo then my curiosity is piqued; I was under the impression the Voyagers are outbound from the Solar System now without any major in-system activities now.   How is it the Voyagers are closer to Earth than before? Logit or arcsine transformation for proportion in meta-analysis I'm looking for an understandable proof of this theorem, and also a complex one involving beautiful math techniques such as analytic number theory, or something else. I hope you can help me on that. Thank you very much