I am currently playing around with the Catmull-Clark part of the subdivision modifier and I'm starting to get the hang of it. However, I have one edge that does just weird things:    I want to have a smooth rounding here, but somehow the edges and vertices of this region don't seem to cooperate (other parts of the same mesh are fine).  I tried rebuilding this section from scratch and checked for hidden/inside faces or edges (didn't find anything). I joined adjacent vertices and am pretty sure there are no double vertices, edges, anything. There is a mirror modifier in front of it, but it doesn't interact with this particular region. I'm currently out of ideas and welcome input.  File (Has been cut down to the tricky part.):
I have a simple skull model, to which I applied the subdivision modifier. For the most part everything works as expected, except I keep getting these weird sharp vertices and I can't seem to figure out how to flatten them.    I'm using Blender 2.8. Is this some kind of feature I can disable/enable for particular vertices? The distance between the sharp vertices and the gray outline differ.    Any suggestions please? Thank you!  EDIT: I also tried selecting as both - vertexes and edges and then applied Edge->Clear Sharp, but nothing changed.
Is the set $S=\left\{\left(z_1,z_2\right)\in \mathbb C\times \mathbb C:z_1^2+z_2^2=1\right\}.$ compact? Consider the set $$S=\left\{\left(z_1,z_2\right)\in \mathbb C\times \mathbb C:z_1^2+z_2^2=1\right\}.$$  Is this set compact in $\mathbb C^2$ ?  As $\mathbb C^2$ is a finite dimensional space so a subset of it is compact if and only if it is closed and bounded.  But $z_1^2+z_2^2=1$ gives $(x_1^2+x_2^2)-(y_1^2+y_2^2)=1$ and $x_1y_1+x_2y_2=0$ , where $z_1=x_1+iy_1$ and $z_2=x_2+iy_2$.  But from here how I can show that the set is closed and bounded ? something like wye-delta and delta-wye connection.  we can originally know wye-delta connection is step-down transformer and second side voltage phase is being to -30 degree. And also delta-wye connection is step-up transformer and second side voltage phase is being to +30 degree.  But the other side, we also can make wye-delta connection is step-up transformer if it get turn ratio like 1:2. So in this case maybe will be become +30 degree in second side voltage.   apply this principle in scott connection, how can work it?   case1) turn ration 1:2 - step up second side voltage's angle +90 degree?  case2) turn ration 2:1 - step down second side voltage's angle -90 degree?  if you have any information or homepage link, can you leave it for me?  thank you so much. Sci-fi book, blue critters than only some people can see, kids fight the critters as they feed off energy and are a threat I can't really remember how long ago it was, but I think the book was marketed towards children/teens.  All I remember is the basic premise of the story.  Some story about these unusual little blue electric critters that only certain people could see, and these kids took it upon themselves to go about destroying them since they fed off energy or something like that.  Not sure whether they fed off people or off electricity... or both maybe?  I think the dominant method of destroying them was an electric baton that was taken from law enforcement.  I wanna call them buzz batons, but that's probably thanks to Artemis Fowl. What is a good way of parsing command line arguments in Java? Do I need an airport transit visa for Dublin, Ireland en route to the UK? How to burn a Windows .iso to a USB device? I want to burn a Windows ISO to a USB device in Ubuntu. How do I do this?   I know how to burn a Ubuntu ISO into a USB device, but with a Windows ISO it's not the same. How to find the sum of the series $1+\frac{1}{2}+ \frac{1}{3}+\frac{1}{4}+\dots+\frac{1}{n}$? How to find the sum of the following series? $$1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \dots + \frac{1}{n}$$ This is a harmonic progression. So, is the following formula correct? $\frac{(number ~of ~terms)^2}{sum~ of~ all ~the~ denominators}$ $\Rightarrow $ if $\frac{1}{A} + \frac{1}{B} +\frac{1}{C}$ are in H.P. Therefore the sum of the series can be written as : $\Rightarrow \frac{(3)^3}{(A+B+C)}$ Is this correct? Please suggest. How widely-accepted is "What do you got?" to Americans? Watching , I noticed that Melanie Griffith twice asked    I recognise this as an American construction which sounds strange to me — Brits invariably say either "What have you got?" or "What do you have?". But I'd be interested to know if it's considered "normal" by most/all Americans, or if it's regionally or otherwise restricted. How is voltage always able to increase, if electrons move at the speed of light? Do I need an airport transit visa through Switzerland if I have no Schengen visa? Am traveling from Cairo to Moscow via Swiss Air I installed an Ubuntu alpha or beta and have been keeping it up to date.   So, Should I presume that my system has automatically updated to the next alpha or beta, and will be running the official release when it's finished? Variable importance from GLMNET Use Yaml for MongoMapper Config Java Thread priority has no effect Pointwise convergent and total variation How to know the partition where grub is installed I am Dual Booting Maverick with Natty. I want to know which partition has Grub installed.   I want to make sure that grub is installed in the maverick partition not in natty, so that when I remove the natty partition, I don't have booting problem in the absence of grub.  On maverick there is no menu.list file in /boot/grub but natty has one.  Here is the output of fdisk -l  gaurav@gaurav-desktop:~/Desktop$ sudo fdisk -l  Disk /dev/sda: 320.1 GB, 320072933376 bytes 255 heads, 63 sectors/track, 38913 cylinders Units = cylinders of 16065 * 512 = 8225280 bytes Sector size (logical/physical): 512 bytes / 512 bytes I/O size (minimum/optimal): 512 bytes / 512 bytes Disk identifier: 0x9cdb9cdb     Device Boot      Start         End      Blocks   Id  System /dev/sda1   *           1        7295    58592773+  83  Linux /dev/sda2            7295       25475   146033664   83  Linux Partition 2 does not end on cylinder boundary. /dev/sda3           25476       32194    53970367+  83  Linux /dev/sda4           32195       35483    26414081    5  Extended /dev/sda5           32195       32444     1999872   82  Linux swap / Solaris /dev/sda6           32444       35483    24413184   83  Linux gaurav@gaurav-desktop:~/Desktop$ "Welcome to the Jones__": Plural or Plural Possessive? When making a welcome sign, what form of the name Jones would you use?  ("Welcome to the Jones__") When looking at my Apache2 access logs, I occasionally see GET requests asking my server for a page on a completely different server. For example:  xx.xx.xx.xx - - [18/Jan/2012:07:12:10 -0500] "GET http://someotherserver.com/?sometimesmorestuff=likethis HTTP/1.1" 200 389 "-" "Mozilla/5.0 (Windows; U; Windows NT 5.0; en-US; rv:1.8.1.12) Gecko/20080201 Firefox/2.0.0.12"   I remembered reading something about that in the past, but at the time I had never seen that on my server, so I didn't worry about it.   Now that I am seeing it on my server, I just ran a test and it appears that my site does indeed serve requests for content from other servers. This seems like a bad thing. So, two questions:  A) Is this something I should be worrying about?  B) How can I fix it?  I've tried a little Googling, but I don't even know what this sort of thing is called, and that makes it difficult. How to prove that exponential grows faster than polynomial? In other words, how to prove:  For all real constants $a$ and $b$ such that $a &gt; 1$, $$\lim_{n\to\infty}\frac{n^b}{a^n} = 0$$  I know the definition of limit but I feel that it's not enough to prove this theorem. I've got a development webserver on an Ubuntu box inside of VMWare Workstation 7.1.3. I'd like to run a web browser on a Windows machine (the host OS) for actually testing a web page I'm working on -- hard to run IE tests in Ubuntu :)  However, if I simply try to ping the IP given to the ubuntu VM (192.168.83.137) (or open it in my browser for that matter), it seems the host cannot communicate with the guest.  How do I allow the guest OS to communicate with the host when the guest is running in NAT mode?