So I'm trying to create the face of a character model by starting around the eyes and mouth but when I try and join the edges to connect it creates this weird crease. I want to smooth it out but I can't seem to get rid of it. What I'm doing is pressing F with the selected vertices to create a new face to connect and this happens.  Any help to getting rid of it is appreciated, thanks!
I am relatively new to Blender so please excuse me if this is rather amateur!   The bottom of my torus has poor surface quality, I have scaled the vertices down for a smaller (variable) tubular radius all the way around the torus and at the bottom the surface quality is awful, with inaccurate shading. Any ideas as to what is wrong and/or how I could fix this?  Thanks, itsanate
Expected number of games played in a game with 'win by two' rule. Calvin and Hobbes play a match consisting of a series of games, where Calvin has probability p of winning each game (independently). They play with a “win by two”” rule: the first player to win two games more than his opponent wins the match. What is the expected number of games played? My attempt: I use Markov chains. Let $S$ denote that starting state, $W$ and $L$ denote the states where Calvin and Hobbes win respectively. Then, I have $$\mu_S = 1+ p\mu_W+q\mu_L $$ $$\mu_W = 1+ q\mu_S $$ $$\mu_L = 1+ p\mu_S $$ where $\mu_j$ denote the expected number of games from state $j$. Solving the system, I get the solution $\mu_S = \frac{2}{1-2pq}$ which I think is correct. I however would like to know how to approach it with geometric distribution instead of Markov chains. I read one solution where the number of games is given as $1+\text{Geom}(p^2+q^2)$ but I do not understand it. My understanding is that for the game to stop, the required probability is $p^2 + q^2$ since this is the probability that either Calvin or Hobbes win two games in a row. How to use this information in a Geometric random variable? Thanks. Close Lightning Modal by clicking anywhere outside of it I have a mouse with lots of buttons, but it's not a mainstream make like Logitech. For Windows, I have a driver that lets me assign actions like close-window (Ctrl+W) or next-tab (Ctrl+Tab), but I don't have a Linux driver. Since Linux is so flexible, I thought perhaps there is a general way to do this, regardless of brand?  Update: Based on input from Cyrex, I installed and ran sudo apt-get install btnx which found several but not all mouse buttons. Found: left, right, wheel, wheelclick, thumb fwd, thumb back. Not found: wheel left, wheel right, thumb middle button. Vendor ID is 0x04d9, Model ID is 0xa015.  Update 2: In System>Prefs>Mouse there's a lightbulb icon for testing double-click speed. Every working button can turn the bulb on&amp;off, but the missing buttons can't. It would seem that Ubuntu isn't aware of these buttons and thus doesn't register their clicks. I guess I need to hunt for a driver, though a mainstream mouse is probably the easier way. How can you prove that a function has no closed form integral? In Harry Potter and the Deathly Hallows, when Voldemort tries to kill Harry Potter and Harry Potter travel to the Deathly hallows, that is, Kings Cross Station and he later comes back. There it has been mentioned that Voldemort had also fallen down and Bellatrix tried to support him to stand up as if she has some affection towards him.  “My Lord . . . my Lord . . . ” It was Bellatrix’s voice, and she spoke as if to a lover.  Is it true that Bellatrix Lestrange had some affection towards Voldemort? In C#, why can't a List object be stored in a List variable It seems that a List object cannot be stored in a List variable in C#, and can't even be explicitly cast that way.  List&lt;string&gt; sl = new List&lt;string&gt;(); List&lt;object&gt; ol; ol = sl;   results in Cannot implicitly convert type System.Collections.Generic.List&lt;string&gt; to System.Collections.Generic.List&lt;object&gt;  And then...  List&lt;string&gt; sl = new List&lt;string&gt;(); List&lt;object&gt; ol; ol = (List&lt;object&gt;)sl;   results in Cannot convert type System.Collections.Generic.List&lt;string&gt; to System.Collections.Generic.List&lt;object&gt;  Of course, you can do it by pulling everything out of the string list and putting it back in one at a time, but it is a rather convoluted solution. Locating stolen phone after factory reset I assume any reasonable thief will wipe the phone as soon as possible, thus removing any tracking apps and user accounts.  I there a method to track the phone any way?  A possible method is to use a tracking app (and it's configuration) that's embedded in a custom ROM. Sorting by "hot" - what does it mean and why are the sort option different between the homepage and the questions tab? It has come to my attention that on the homepage on any given SE you can sort by "active", "hot", "week", and "month".  The tooltip says the latter three sort by "most views, answers, and votes" over different periods of time.  So it seems that this is uses a different formula than the "arbitrary hotness points" that create hot network questions.  What is the formula and what is the rationale for using views here, but not in the network hot questions?    Also, what is the rationale for offering such different sorting options between the homepage and the questions tab?  I have been active for ~4 months and never realized there was a sort by hotness option on a different screen (as I have always looked at the questions tab to see what was new) until today. I recently updated my version of Lyx from 1.6.7 to 2.0.6. I would like to transfer my old keyboard shortcuts to this new version, but I am having difficulty because I was inconsistent with the way that I set them up:   Some were defined in the specified .bind file,  but others were modified in the lyx preferences menu.   I found that when importing my old .bind file into this updated version of lyx, it imported the keyboard shortcuts that were in the .bind file, but not those that I had added in the preferences menu.  Does anyone know if these keyboard shortcuts that were added via the preferences menu are stored in another .bind file somewhere in the lyx directory? Has anyone else successfully transferred keyboard shortcuts that had been implimented in the preferences menu? Why did the texture I painted in texture paint mode disappear? I was following a  on how to use the Texture Paint feature on blender so I could paint on a terrain I am modeling. I was successful to paint the whole terrain with beautiful, exuberant vegetation, and crystalline water running through the valley.  So I saved my file, and I went to sleep. But now I've reopened the file and everything seems like I left it yesterday, except that I can see no texture in the terrain... The weird thing is that the textures i used are still there... I don't understand, I barely understand the interface, please help. I'm not even sure if the texture is there or if it was never "saved" or something...     I am now going through the second part of the tutorial for possible answers but I (and hopefully many more) will be grateful for your help. I have been having extreme difficulties with this integral. I would appreciate any and all help. $$ \int \sqrt{\tan x} ~ \mathrm{d}{x}. $$ Combining |- and !.5! in TikZ How do I combine the !.5! operator with the -| operator?  I want a node that has x-coordinate equal to the average of x coordinates of nodes A and B, and a y-coordinate equal to the average the y coordinates of nodes C and D. I'm trying to make a systemd timer that runs every 15 minutes. Right now I have:     timer-fifteen.timer:  [Unit] Description=15min timer  [Timer] OnBootSec=0min OnCalendar=*:*:0,15,30,45 Unit=timer-fifteen.target  [Install] WantedBy=basic.target    timer-fifteen.target:  [Unit] Description=15min Timer Target StopWhenUnneeded=yes    This runs over and over again without stopping. Does it need to be *:0,15,30,45:* instead? How can I make this work? Subfiles failing with custom class Vertically align text next to an image? Why won't vertical-align: middle work?  And yet, vertical-align: top does work.   span{   vertical-align: middle; } &lt;div&gt;   &lt;img src="https://via.placeholder.com/30" alt="small img" /&gt;   &lt;span&gt;Doesn't work.&lt;/span&gt; &lt;/div&gt; How to format a USB flash drive? In Windows there is a straightforward "Format" option in a flash drive's right-click pop-up menu. Where's that in Ubuntu? What is a word for doing something that you don't want to do? I am reading Of Mice and Men, and I am trying to come up with a word that describes how George manages to shoot Lennie at the end of the book.  I have come up with Self Discipline, and Overcoming Weakness, but none of those really seem to suffice.  Any suggestions would be great! This question has troubled me for ages despite my several attempts of looking it up in dictionaries or usage books. Do we say, "Do you have any ideas" or "Do you have any idea"? I do see an example where "any" means "it doesn't matter who/which/what", therefore "You can borrow any book you like." Also, does it matter between using it in questions and negatives? Large braces for specifying values of variables by condition Google map API does not plot on different continents