Why is it that only the particle with negative energy is absorbed into the black hole on the event horizon during Hawking Radiation? What discriminates between the particle or antiparticle?
I was reading Brian Greene's "Hidden Reality" and came to the part about Hawking Radiation. Quantum jitters that occur near the event horizon of a black hole, which create both positive-energy particles and negative-energy particles, produce the so-called Hawking radiation. However, I do not understand why only the negative-energy particles are being absorbed into the black hole, while the positive-energy particles shoot outward. Shouldn't there be 50/50 chance that each type of particle is being absorbed by the black hole? Also, the book mentions that a negative-energy particle would appear to an observer inside the black hole as positive. Why?
Change date and time format from csv file without using date -d I have a .csv file contains   Data1|Data2|10/24/2017 8:10:00 AM   I want to change date and time format of column 3 as following:  From 10/24/2017 8:10:00 AM (12-Hour) to 20171024 08:10:00(24-hour).  Not using -d Sort a Map by values I have set up my site with sample pages and data (lorem ipsum, etc..) and Google has crawled these pages. I deleted all these pages and actually added real content but in webmaster tools, i still get a lot of 404 errors Google trying to crawl these pages. I have set them to "mark as resolved" but some pages still come back as 404.   Furthermore, I have a lot of these sample pages still listed when i do a search of my site on Google. How to remove them. I think these irrelevant pages are hurting my rating.   I actually wanted to erase all these pages and start getting my site being being indexed as a new one but I read it's not possible? (I have submitted a sitemap and used "Fetch as Google.") In 5e's version of the flesh to stone spell, if the spell is maintained for the full minute duration, the effect (petrification) lasts until "removed".  How can this petrification be removed? What makes a chewy brownie? I've tried many different brownie recipes and most of mine bake to a cake-like consistency. The brownie holy grail for me is crusty top chewy brownies. What can I add/remove/do that will make my brownies chewier? How is Gauss' Law (integral form) arrived at from Coulomb's Law, and how is the differential form arrived at from that? On a similar note: when using Gauss' Law, do you even begin with Coulomb's law, or does one take it as given that flux is the surface integral of the Electric field in the direction of the normal to the surface at a point? Consistency of an order statistic in exponential distribution I have two questions.   1) If $X_1,X_2,X_3,...,X_n$ constitute a random sample of size $n$ from an exponential distribution, show that $\bar X$ is a consistent estimator of the parameter $\lambda$.    This is my attempt: Mean of exponential distribution is $\lambda^{-1}$. Thus by central Limit theorem $E(\bar X)=\lambda^{-1}$. Using mean square consistency, if  $\lim_{n\to \infty} E[(\bar X -\lambda )^2]=0$ then $\bar X $ is consistent for $\lambda$. Since $$ E[(\bar X -\lambda )^2]= E[(\bar X)^2]+E(\lambda)^2-2\lambda E(\bar X) , $$  I get $$ \lim_{n\to \infty} E[(\bar X -\lambda )^2] =    \lim_{n\to \infty} {2 \over \lambda ^2 }+\lambda^2-2 . $$ Clearly this is not equal to $0$. How can I show this is consistent? I tried using Chebechev inequality as well. But even using that I couldn't.    2) Is $X_{(n)}$ a consistent estimator for $\lambda$? If $P[|X_{(n)}-\lambda|&lt;\epsilon]$ approaches $1$ as $n$ goes to infinity for all $\epsilon &gt; 0$ then $X_n$ is a consistent estimator for $\lambda$.    The probability density function of $X_{(n)}$ is $f_n(x) = n \lambda e^{-\lambda x}(1-e^{-\lambda x})^{n-1}$,  for $X&gt;0$.  Thus \begin{align*} P[|X_{(n)}-\lambda|&lt;\epsilon]  &amp;= P[\lambda -\epsilon&lt;X_{n}&lt;\lambda+\epsilon] \\  &amp;=P[0&lt;X_{n}&lt;\lambda+\epsilon] \\  &amp;=\int_0^{\lambda+\epsilon} n \lambda e^{-\lambda x}(1-e^{-\lambda x})^{n-1}\\  &amp;= (1-e^{- \lambda X_{(n)} }), \end{align*} where $X{(n)}$ takes values in $[0 , \lambda+ \epsilon]$.  Thus, can I say $\lim_{n\to \infty}[1-e^{-\lambda(\lambda+\epsilon)}]^n=1$? Lufthansa connecting flight at Munich, only 45 minutes in between. Will I be able to make it? Why are there two Address lines in Address forms? Experience and a quick Google Images search suggests that it's standard to provide two fields for Address/Street. A colleague argues that it's perceived as two alternative addresses, and that the fact that there's only one country, state, zip, phone just makes it more confusing. I tried to think of a good explanation for having two fields but couldn't. To the reason of "there are some very long addresses" he replies "then why don't they use a multiline input field which would make it clearer that it's the same address".  So, what's the reason? And is it only standard for the US or for Europe as well? Error AL lib: UpdateDeviceParams: Failed to set 44100hz, got 48000hz instead. What can I do? I have Win 10 and when I open Blender I have the error:     AL lib: UpdateDeviceParams: Failed to set 44100hz, got 48000hz instead How is the optimal probability cut-off in a ROC defined by the R package Epi? The plot below was created by R package Epi::ROC for a binary classification problem. There is an optimal cut off or threshold for the classification probability at which sensitivity and 1-specifitiy are balanced in some optimal way (called ps3 in the plot). My question is how this point is defined mathematically in this case and if there are other ways to define it. Usage of -n and -z in test built in - Bash SingleEmailMessage sending isn't working when called from Unit Test I have the following code:      public class OrderRequestCreationEmails {     public static void sendMail()     {          Messaging.reserveSingleEmailCapacity(2);         Messaging.SingleEmailMessage mail = new Messaging.SingleEmailMessage();         String[] toAddresses = new String[] {'dgriff@varonis.com'};           mail.setToAddresses(toAddresses);          mail.setReplyTo('dgriff@varonis.com');          mail.setSenderDisplayName('Mail Test');          mail.setSubject('Success! Mail Sent');          mail.setBccSender(false);         mail.setPlainTextBody('BODY');          Messaging.sendEmail(new Messaging.SingleEmailMessage[] { mail });     } }   I tried to call this function from a test as such: (I know its not an actual test, its just to see if I receive a mail).  @isTest private class CreationEmailsTest {     @isTest private static void sendMailTest() {         OrderRequestCreationEmails.sendMail();     } }   And I haven't received the mail, no idea why?  It's an example I took from the salesforce developer guide. couldn't find any answers online...  FYI - deliverability in the sandbox is turned on, and test deliverability works I was wondering if there was a method to alter object settings at a set point in an animation in blender.  For example, I want to make the color of an object blue for the first 20 frames, but after 20 frames I want its color to change to green. Is there any known method of doing this? I could not find anything when I searched. How to close (kill) ssh ControlMaster connections manually How can I change the colors of lightning-button?  I tried doing this in my css:  .my-button {     background-color: #14a6bc;     color: #ffffff; }   and applying that class to my &lt;lightning-button&gt; and removing the variant but I still get the base colors? I am trying to use these examples: Accessing class members on a NULL pointer I was experimenting with C++ and found the below code as very strange.   class Foo{ public:     virtual void say_virtual_hi(){         std::cout &lt;&lt; "Virtual Hi";     }      void say_hi()     {         std::cout &lt;&lt; "Hi";     } };  int main(int argc, char** argv) {     Foo* foo = 0;     foo-&gt;say_hi(); // works well     foo-&gt;say_virtual_hi(); // will crash the app     return 0; }   I know that the virtual method call crashes because it requires a vtable lookup and can only work with valid objects.   I have the following questions    How does the non virtual method say_hi work on a NULL pointer? Where does the object foo get allocated?   Any thoughts? How do you clone an Array of Objects in Javascript? Cylindrical vs azimuthal symmetry Proving Cauchy condensation test