Who wins the race between an astronaut falling towards a black hole and the event horizon shrinking due to Hawking radiation?
Does any particle ever reach any singularity inside the black hole?
How to change/rewrite the lost password url? I used iThemes Security (formerly Better WP Security) hide back-end functionality to change the login url to /signin however clicking the lost password link /wp-login.php?action=lostpassword now generate a 404  Manually going to /signin?action=lostpassword works.  I came across the following code below which is suppose to make the change to however after some testing it doesn't seem to work  //******************************************************* //Function to change to lost password url //******************************************************** add_filter('site_url',  'wplogin_filter', 10, 3); function wplogin_filter( $url, $path, $orig_scheme ){     $old  = array( "/(wp-login\.php)/");     $new  = array( "signin/"); //this can be change to login or whatever or may remain there     return preg_replace( $old, $new, $url, 1); }   add to .htaccess  RewriteRule ^signin$ wp-login.php   How can i modify the above code in order to change the url for the lost password? I just got a question in the review queue that, though poor, I thought was potentially salvageable via editing.  However when I clicked the Edit button I got the deleted post error.  Since the post was gone, I clicked I'm Done (what is there do do with a deleted post?) only to get the review audit failed message instead.  The current behavior is also problematic in that, now that I know about it, it's a risk-free way to check if a question is an audit and not an actual review. That allows me or anyone else who knows about it to detect audits without having to recognize that the question is bad. How can I permanently enable cheating? I'm designing this animal-type creature, and want to add a transparent .png image to its face with the face features (object has a subsurf). On the left is the image with the features, on the right is the part of the object where I want it to be.    I tried to import the image as a plane, but matching the shape of the plane with the face didn't work, and the lines of the face left shadows on the head, and could be seen as a different object from some angles (although it's the closest I've gotten yet). It looked like this:    So , I tried selecting the faces of the head that the features should go over, and create a new material for it. Unfortunately, since the .png is transparent, the result produced was this:    (where it's impossible to tell the transparency from a black background default color, and where I wouldn't know where to start to adjust size and position).  I also tried UV mapping, but then the whole object became black with the features repeated all over.   Is it something I have to go into Nodes for? I'm kind of stuck here. Creating a new material and applying it is simple, but applying a material that is an image is a bit more complex it seems... Ideally, I would reproduce the same technique for the adhesive bandage on its arm (seen on the right of image 1). How to send email from MySQL 5.1 Determining the characteristic of a field Blender for Chromebook How would I be able to run Blender on a Chromebook? The Rollapp is a farce that demands money for free software, and the whole reason I didn't buy a windows laptop is because I hate Windows 10, so is there another option? Is there a way in photoshop to convert k values to alpha values? Basically, I would like to make it so that the lighter a pixel is (the more white it has) the more transparent it becomes. Black pixels would be opaque, white pixels would be transparent.  I currently use the slider in blending options on the first tab to get rid of the white and make it transparent but find it works slightly better if I use the magic wand tool with delete.  I figure that there is some blending option out there but there are so many and I'm not sure which to use to achieve my goal.  (Using Photoshop CS6) Average distance between two random points in a square apache2 mod_rewrite redirect without http body Recommended visualization libraries for standalone applications Given a countable collection of metric spaces $\{(X_n,\rho_n)\}_{n=1}^{\infty}$.  Form the Cartesian Product of these sets $X=\displaystyle\prod_{n=1}^{\infty}X_n$, and define $\rho:X\times X\rightarrow\mathbb{R}$ by  $$\rho(x,y)=\displaystyle\sum_{n=1}^{\infty}\frac{\rho_n(x_n,y_n)}{2^n[1+\rho_n(x_n,y_n)]}.$$  Show that $\rho$ is a metric on $X$ whose induced topology is equivalent to the product topology on $X$.  So basically what this problem is saying is that there's a canonical way to define a metric on the countable product of metric spaces.  I showed in a previous problem that the topology induced by $\rho_n$ is equivalent to that induced by $\frac{\rho_n(x_n,y_n)}{1+\rho_n(x_n,y_n)}$.  And thus we can go ahead and just assume that $\rho_n&lt; 1$ for all $n$ and replace our infinite series by  $$\rho(x,y)=\displaystyle\sum_{n=1}^{\infty}\frac{\rho_n(x_n,y_n)}{2^n}.$$  Now comes the interesting part: how should I go about showing that the product topology on $X$ and the topology induced by $\rho$ are equivalent?    The basis for the product topology given to me in my book's definition is that of cartesian products made up the $X_n$ except for finitely many which are $O_n$ for some open subset of $X_n$.  However I believe I was able to improve upon this and show that I could decompose these into a basis where the $O_n$ were all open balls induced by their respect $\rho_n$ metric.  For $\rho$ I'm using the basis of open balls that it induces, as I can see no other reasonable choice.    However I can't seem to match these two bases up.  There are many different points $\{x_n\}\in X$ which make my infinite series less than a certain value and there is so much freedom in which terms in the series I choose to reduce in size that it seems hopeless to try and fit an open ball induced by $\rho$ into any one of my basis elements for the product topology.    Is there a more appropriate strategy for proving these two topologies are equivalent? Browser can't access/find relative resources like CSS, images and links when calling a Servlet which forwards to a JSP How to solve following equation: $x^x = C$ as $x, C \in \mathbb{R}_{&gt;0}$. I tried to use exponent and such that: $x\ln x = \ln C$. I was trying to look for an answer of mine earlier and did a search like this:  user:me SQLite RunInTransaction   The above found nothing. So I changed it to  user:me SQLite   Which found a bunch of things. I dug through the results and saw this snippet for :     From my experience, wrapping as many database calls as possible into a transaction speeds things up quite a bit: using (var db = new SQLiteConnection(dbPath)) { db.RunInTransaction(() => { …    Notice that the snippet contains both "SQLite" and "RunInTransaction". In looking at the post itself I noticed "SQLite" was in the question title and in my answer as code. I also noticed that "RunInTransaction" is only in my answer in code.  I looked at meta and saw , which says I need to prefix any code with code:, so I tried:  user:me SQLite code:RunInTransaction user:me code:SQLite code:RunInTransaction   None of the above returned any results.  I also found  on meta which says I can search for code like this (without the code: prefix):        So I tried:  SQLite RunInTransaction "SQLite RunInTransaction"   The first did not return my answer. The second did not return any results.  So my question:  How do I properly search for , that has both "SQLite" and "RunInTransaction" in the post? Canonical question: One has a Windows 10 installed with display language A, but uses keyboard layout B. What does one need to do, to stop Windows from automatically adding an unwanted keyboard layout from language A to one's system?  My example: I have a Windows 10 in English and I'm using a Slovenian keyboard layout. And this is working just fine, until I run a certain program that Windows ever so intelligently thinks needs an US keyboard layout. Windows adds this unwanted layout automatically, switches to it and doesn't remove it afterwards. The new layout isn't even listed in installed layouts. The only way to remove it after it appears, is to manually add it as a keyboard layout and remove it.  It seems that's a common problem for many people but after many hours of googling, I just couldn't find a good solution for it... It would be perfectly fine with me if I could just completely remove the US keyboard layout from my system, but if I do that, the keyboard stops working in some programs altogether.  Programs that I or other people have this problem with: ICQ, some versions of Microsoft Office (lol), games based on Source engine, some versions of UltraVNC, Adobe CC Suite, and the list goes on. Raspberry Pi Jessie Wi-Fi doesn't work with multiple IPs on same network I would like to use two different static IP addresses for the same network with the same Wi-Fi dongle. I read in different forums that it's better to use /etc/network/interfaces instead of dhcpcd.conf for that purpose. So I changed the /etc/network/interfaces that way:  auto lo iface lo inet loopback  iface eth0 inet dhcp auto wlan0 allow-hotplug wlan0 iface wlan0 inet static     address 192.168.0.60     netmask 255.255.255.0     gateway 192.168.0.10     wpa-conf /etc/wpa_supplicant/wpa_supplicant.conf auto wlan0:0 allow-hotplug wlan0:0 iface wlan0:0 inet static     address 192.168.0.61     netmask 255.255.255.0     wpa-conf /etc/wpa_supplicant/wpa_supplicant.conf   The issue now is that for the most of the time I can't ping any member of the network. During the first 10 seconds, everything works fine and then I mostly don't get any connection.  ifconfig shows the following:  lo        Link encap:Lokale Schleife             inet Adresse:127.0.0.1  Maske:255.0.0.0           inet6-Adresse: ::1/128 Gültigkeitsbereich:Maschine           UP LOOPBACK RUNNING  MTU:65536  Metrik:1           RX packets:1237 errors:0 dropped:0 overruns:0 frame:0           TX packets:1237 errors:0 dropped:0 overruns:0 carrier:0           Kollisionen:0 Sendewarteschlangenlänge:1            RX bytes:100748 (98.3 KiB)  TX bytes:100748 (98.3 KiB)  wlan0     Link encap:Ethernet  Hardware Adresse b8:27:eb:a2:4b:72             inet Adresse:192.168.0.60  Bcast:192.168.0.255  Maske:255.255.255.0           inet6-Adresse: fe80::ba27:ebff:fea2:4b72/64 Gültigkeitsbereich:Verbindung           UP BROADCAST MULTICAST  MTU:1500  Metrik:1           RX packets:15498 errors:0 dropped:10634 overruns:0 frame:0           TX packets:5446 errors:0 dropped:0 overruns:0 carrier:0           Kollisionen:0 Sendewarteschlangenlänge:1000            RX bytes:5910381 (5.6 MiB)  TX bytes:722284 (705.3 KiB)  wlan0:0   Link encap:Ethernet  Hardware Adresse b8:27:eb:a2:4b:72             inet Adresse:192.168.0.61  Bcast:192.168.0.255  Maske:255.255.255.0           UP BROADCAST MULTICAST  MTU:1500  Metrik:1   and route -ne has the following output:    Ziel            Router          Genmask         Flags   MSS Fenster irtt Iface 0.0.0.0         192.168.0.10    0.0.0.0         UG        0 0          0 wlan0 192.168.0.0     0.0.0.0         255.255.255.0   U         0 0          0 wlan0   I also stoped dhcpcd, the IPs aren't in the dhcp IP pool of the router and with one static IP everything works fine  Does anyone have any clue what I did wrong? Ignore .DS_Store and Icon files in a folder with Cocoa NSFIleManager My /boot partition hit 100% and now I can't upgrade. Can't remove old kernels to make room I am completely new to riding bikes and know that are usually filled with air but nowadays some people fill them with Nitrogen instead.  I don't know why they prefer to fill their tires with nitrogen as it is more costly than filling them with air.  What are the benefits of filling tires with Nitrogen?